all you need is in the photo please answer fastplease

All You Need Is In The Photo Please Answer Fastplease

Answers

Answer 1

Answer:

The cost of cupcakes and cookies are;

[tex]\begin{gathered} \text{cupcakes = \$2.75} \\ \text{cookies = \$3.00} \end{gathered}[/tex]

Explanation:

Let x and y represent the cost of a cupcake and cookie respectively.

Given that;

Five cupcakes and two cookies cost $19.75.

[tex]5x+2y=19.75-------1[/tex]

Two cupcakes and four cookies cost $17.50.

[tex]2x+4y=17.50-------2[/tex]

Let's solve the simultaneous equation by elimination;

multiply equation 1 by 2;

[tex]10x+4y=39.50-------3[/tex]

subtract equation 2 from equation 3;

[tex]\begin{gathered} 10x-2x+4y-4y=39.50-17.50 \\ 8x=22 \\ \text{divide both sides by 8;} \\ \frac{8x}{8}=\frac{22}{8} \\ x=2.75 \end{gathered}[/tex]

since we have the value of x, let substitute into equation 1 to get y;

[tex]\begin{gathered} 5x+2y=19.75 \\ 5(2.75)+2y=19.75 \\ 13.75+2y=19.75 \\ 2y=19.75-13.75 \\ 2y=6 \\ y=\frac{6}{2} \\ y=3.00 \end{gathered}[/tex]

Therefore, the cost of cupcakes and cookies are;

[tex]\begin{gathered} \text{cupcakes = \$2.75} \\ \text{cookies = \$3.00} \end{gathered}[/tex]


Related Questions

Isabella is making bread. She has 7/2 cups of flour. each loaf uses 3/4 cup of flour. How many whole loaves of bread can Isabella make? will she have flour left over?



A. 5 loaves with flour left over.

B. 5 loaves with no flour left over.

C. 4 loaves with flour left over.

D. 4 loaves with no flour left over.



Please help

Answers

Answer: C. Four loaves, with flour left over.

Step-by-step explanation:

7/2 simplifies to 3 1/2

Do the math,

3/4 + 3/4 = 1 1/2        2 loaves

1 1/2 + 3/4 = 2 1/4      3 loaves

2 1/4 + 3/4 = 3           4 loaves

Now when we add 3/4 to 3, we get more than 3 1/2. Which means we do not have enough flour for another loaf of bread. So, we can make four loaves and still have some four left over. The answer is C.

in your own words explain angle addition postulate

Answers

This postulate tells us that when we put two angles side by side with a ray touching the ray of the other angle, we are creating a new angle which is the addition of the two, and whose measure is the addition of the measures of the two angles we are contacting via a common ray.

A segment is m units long. Find the distance between the midpoints of the first and last parts if the segment is divided into 5 equal parts.

Answers

The midpoints of the first and last parts are 4/5m units apart

How to determine the distance between the midpoints?

The length of the line segment is given as

Length = m units

From the question, the number of partitions is given as

Partition = 5

So, the length of each partition is

Each partition = Length/Partition

This gives

Each partition = m/5

The midpoint of a partition is

Partition midpoint = m/5 x 1/2

Evaluate

Partition midpoint = m/10

The distance between the midpoints of the first and last segments is then calculated as

Distance = Length - 2 x Partition midpoint

So, we have

Distance = m - 2 x m/10

Evaluate

Distance = m - m/5

This gives

Distance = 4/5m

Hence, the distance is 4/5m units

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The formula written in symbols as T =UN. Solve the formula for U.

Answers

The formula written in symbols as T =UN. Solve the formula for U.​

we have

T=U*N

solve for U

so

isolate the variable U

step 1

divide by N both sides

T/N=U*N/N

T/N=U

therefore

U=T/N

sin(40 + 2°) csc(30 + 5°) = 1

Answers

sin(40 + 2°) cosec(30 + 5°) = 1 we proved that by the values.

Given,

sin(40 + 2°) cosec(30 + 5°) = 1

To prove the trigonometry function equal to 1.

Now, According to the question:

We know that

Sin 42° = 0.66913061

Cosec 35° = 1.7434468

sin(40 + 2°) cosec(30 + 5°) = 1

sin 42° × cosec 35° = 1

Plug the values of sin and cosec in above function:

0.66913061 × 1.7434468

= 1.16659

But we take the before decimal value i.e., 1

Hence,  sin(40 + 2°) cosec(30 + 5°) = 1 we proved that by the values.

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Does this graph represent a function? Why or why not​

Answers

No because it fails vertical line test so B is the answer


Which logical argument could you use to prove that triangle ABC is congruent to triangle DEF?
A. SSS Postulate
B. HL Theorem
C. SAS Postulate
D. ASA Postulate

Answers

HL Theorem because its a right angle

Find the volume of a cone with radius 8 and height 4.

Answers

Answer:

The volume of the cone is:

[tex]85.33\pi[/tex]

Explanation:

The volume of a cone is given by the formula:

[tex]V=\frac{1}{3}\pi r^2h[/tex]

Given radius, r = 8, and height, h = 4, we have:

[tex]\begin{gathered} V=\frac{1}{3}\pi(8^2)(4) \\ \\ =\frac{256}{3}\pi \\ \\ =85.33\pi \end{gathered}[/tex]


One fourth the sum of r and ten is identical to r minus 4.

Answers

⇒Mathematically this means

[tex]\frac{1}{4} (r+10)= r-4\\\frac{r}{4} +\frac{10}{4} =r-4\\\frac{r}{4}(4) +\frac{10}{4} (4)=r(4)-4(4)\\r+10=4r-16\\r-4r=-16-10\\-3r=-26\\\frac{-3r}{-3} =\frac{-26}{-3} \\r=\frac{26}{3}[/tex]

Attached is the solution.

if f(3)=6, what is the value of f^-1(6)?

Answers

If the function f(3) has a value of 6, then the value of f⁻¹(6) is 3

How to determine the composite function?

From the question, the definition of the function is given as

f(x)

Such that

The value of f(3) is 6

This is represented as

f(3) = 6

Also, the function can be represented as

y = f(x)

In f(3) = 6, we have

x = 3 and y = 6

When the inverse function is calculated, we have

f⁻¹(y) = x

This means that

f⁻¹(6) = 3

Express as an inverse function

f⁻¹(6) = 3

Hence, the inverse function f⁻¹(6) has a value of 3

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of all postsecondary degrees awarded in the united states, including master's and doctorate degrees, 21% are associate's degrees, 58% are earned by people whose race is white, and 12% are associate's degrees earned by whites. what is the conditional probability that a degree is earned by a person whose race is white, given that it is an associate's degree? give your answer to three decimal places.

Answers

The conditional probability that a degree is earned by a person whose race is white, given that it is an associate's degree, is 0.571.

The percentage of associate's degrees is 21%.

The percentage of degrees earned by people whose race is white is 58%.

The percentage of associate's degrees out of all degrees earned by people whose race is white is 12%.

Let the probability of earning an associate's degree be P(A).

P(A) = 0.21

Let the probability of earning a degree by the people whose race is white be P(B).

P(B) = 0.58

Let the probability of earning an associate's degree by the people whose race is white be P(C).

P(C) = 0.12

P(C) = P(A∩B)

We need to find the conditional probability that a degree is earned by a person whose race is white, given that it is an associate's degree.

P(B/A) = P(A∩B)/P(A)

P(B/A) = 0.12/0.21

P(B/A) = 0.571

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a cyber hacker is trying to identify the mean age of customers that make frequent purchases on the online retail platform. the hacker does not have access to the raw data, however, the hacker had guessed that the age of customers is normally distributed with a standard deviation of 5 years. in addition to the above, the hacker knows that 70% of the time the age of the customers does not exceed 30 years old. calculate the mean age of customers, relying on the above information.

Answers

The mean age of customers is 27.35 years.

It is well known that age has a normal distribution with a 5-year standard deviation. Additionally, 30% of the time, customers are under the age of 30.

Mathematically,

P (age ≤ 30) = 0.70

Let μ be the mean age of the customer.

P [z ≤ (30 - μ) / σ] = 0.70

The equivalent of "age" in a conventional normal distribution is the z-score or z. It is evident from the usual normal distribution table that when z=0.53, 0.70 probability is reached.

Thus,

z = (30 - μ) / σ

⇒ 0.53 = (30 - μ) / 5

⇒ μ = 27.35

As a result, the average consumer is 27.35 years old.

The probability at each z-score in a standard normal table is represented by the associated z-score. We will look for the number 0.70 in the table, then the row value of 0.5 and the associated column value of 0.03 will be examined. They add up to 0.53 when combined.

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(6x10^2)/(3x10^-5) standard form

Answers

Answer:

2×10^7

Step-by-step explanation:

cuz 3:6 is 2 and 10^2÷10^-5 equals 10⁷

Answer:

2×10^7

Step-by-step explanation:

6×10²/3×10^5

6/3×10²-10^-5

2×10²-^(-5)

2×10²+^5

2×10^7

rate as brainliest

Can someone help me with this

Answers

Answer:

1st one- 4

2nd one- 1

3rd one- 5

4th one-6

5th one-3

6th one-2

a $25$ foot ladder is resting against a wall so that the bottom of the ladder is $7$ feet from the wall. the bottom of the ladder starts slipping away from the wall at a rate of $1$ foot per second. how many feet per second is the top of the ladder sliding down the wall when it is $15$ feet above the ground?

Answers

The bottom of a 25 feet ladder is propped up against a wall, which is 7 feet away. When the ladder is 15 feet above the ground, 23.3 feet per second is the top of the ladder falling down the wall.

Given that,

The bottom of a 25 feet ladder is propped up against a wall, which is 7 feet away. A feet per second of the ladder's bottom begins to slide away from the wall.

We have to find when the ladder is 15 feet above the ground, how many feet per second is the top of the ladder falling down the wall.

Let us take x = height where the ladder hits the building

7 squared + x squared=25 squared

49+x squared=625

x squared=576

x=24 feet

Now,

If it slips 15 feet that 24-15=9 feet

Let x = distance from wall:

x² + 9² = 25²

x² + 81= 625

x² = 544

x = 23.3 feet

Therefore, when the ladder is 15 feet above the ground, 23.3 feet per second is the top of the ladder falling down the wall.

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How do I get n from 2n C n =70?

Answers

After evaluating the expression, the value of n is √(70/2C).

What are expressions?An expression, also known as a mathematical expression, is a finite combination of symbols that are well-formed in accordance with context-dependent rules. An expression in mathematics is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division, etc.) You can think of expressions as being similar to phrases.

So, 2nCn = 70:

Now, solve for n as follows:

2nCn =702Cn² = 70n² = 70/2Cn = √(70/2C)

Therefore, after evaluating the expression, the value of n is √(70/2C).

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Any body know the answer to this question?

Answers

The curves are intersecting at (1, 1) and (-10, -4)

Nonlinear functions are the functions where the equations are not linear or the highest degree is more than 1. The following are some examples where the functions are not linear or non-linear. Ex. [tex]x^{2}[/tex] + 4x -1

In the above question, a graphical representation of non-linear system of equations is given

We need to find the solution of this non-linear system of equations based on the graphical representation

We can find the solutions from the graph, wherever the curves are intersecting, that intersection point is known as the solution of the non-linear system of equations

We can clearly see that, the curves are intersecting at

(1, 1) and (-10, -4)

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The curves are intersecting at (1, 1) and (-10, -4)

Nonlinear functions are the functions where the equations are not linear or the highest degree is more than 1. The following are some examples where the functions are not linear or non-linear. Ex. [tex]x^{2}[/tex] + 4x -1

In the above question, a graphical representation of non-linear system of equations is given

We need to find the solution of this non-linear system of equations based on the graphical representation

We can find the solutions from the graph, wherever the curves are intersecting, that intersection point is known as the solution of the non-linear system of equations

We can clearly see that, the curves are intersecting at

(1, 1) and (-10, -4)

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Which answer seems the most reasonable answer to the problem below? *
(-5.6) (3.4) =
-20
18
-15
12

Answers

Answer:

-20

Step-by-step explanation:

1- each of the two numbers are inside parenthesis and are beside each other which means they should be multiplied like this: -5.6 * 3.4

2- because 5.6 is negative, the rule in multiplying different signs would result to a negative number

3- and when you accurately multiply them, the answer is 19.04, and the options here are estimated so you should estimate the 19.04 too

4- 1 after it is 9 and nine is a great number, 1 turns to 2 and 9 turns into 0, which equals to 20, and DO NOT forget to add the sign, which is negative as i said previously

robert has 30 socks in his sock drawer. 16 of the socks are white, 6 are black, 2 are red, and 6 are yellow.what is the prbability that he randomly pulls out a black sock

Answers

The Probability that Robert randomly pulls out a black sock is 1/5  .

In the question ,

it is given that

Total number of socks in sock drawer = 30 socks

number of white socks in the drawer = 16 socks

number of black socks in the drawer = 6 socks

number of red socks in the drawer = 2 socks

number of yellow socks in the drawer = 6 socks

So , the probability that he randomly pulls out a black sock = (number of black socks in the drawer) / ( total number of socks in the drawer )

= 6 / 30

= 1/5

Therefore , The Probability that Robert randomly pulls out a black sock is 1/5  .

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Find the value of each variable

Answers

Answer:

y=9

Step-by-step explanation:

16y and 18y-18 are vertical angles. The definition of Vertical Angles states that both of the measures of the angles are equal to each other. Therefore,

18y-18=16y

2y-18=0

2y=18

y=9

Answer is y= 9

Step by step

Your equation, since they are vertical angles they are congruent, or equal

18y - 18 = 16y

Subtract 18y from both sides to combine variables

18y - 18y - 18 = 16y - 18y

-18 = -2y

Divide both sides by -2 to solve for y

-18/-2 = -2/-2 y

9 = y

Check your work

So angle 18y - 18
Substitute 9 for y
18(9) - 18
162 - 18 = 144

The other angle is
16y
16(9) = 144

Since the angles are vertical angles, they are congruent, so their angles will be the same
and they are, they are both 144 degrees.

2. Mr V bought 2 pajama sets for christmas for $25. He realized that he needed 2 more pajama sets. So now he bought 4 pajama sets for $50. Part A: Is this relationship proportional? Explain. *

Answers

We will have that the relationship is proportional because each time he bought more sets they had the same cost, and the total cost added to the sum of the independent cost. And we have the following relationship for the 2 sets and 4 sets:

2 sets:

[tex]\frac{25}{2}=12.5[/tex]

So, each individual set is $12.5.

4 sets:

[tex]\frac{50}{4}=12.5[/tex]

So, each individual set is $12.5.

So, each individual set for each relationship has the same cost, therefore the relationship is proportional.

Tara makes two batches of purple food coloring. The table show the number of drops of red and blue coloring she uses for each batch. Do the two batches use the same number of drops of red per drop of blue.

Answers

Given data:

The number of red drops for first batch are r=100.

The number of blue drops for first batch are b=20.

The number of red drops for second batch are r'=75.

The number of blue drops for second batch are b'=15.

The expression for the red per blue drop for first batch is,

n=r/b

Substitute the given values in the above expression.

n=100/20

=5

The expression for the red drop per blue drop of the second batch is,

n'=r'/b'

Substitute the given values in the above expression.

n'=75/15

=5

Thus, yes the ratio of red to the blue drop is same for both batches.

1/2 - 9/4x = -2/3 solve for x and simplify your answer as much as possible

Answers

Answer: 14/27

Step-by-step explanation:

Pls let me see the work!!

Answers

The recipe for the waffles presented using rational numbers are as follows;

1. The recipe for 2 waffles is as follows;

[tex] \displaystyle \frac{3}{5} [/tex] cups of flour

[tex] \displaystyle \frac{2}{15} [/tex] teaspoon of salt

[tex] \displaystyle \frac{4}{5} [/tex] teaspoons of baking powder

[tex] \displaystyle \frac{7}{20} [/tex] Cups of milk

[tex] \displaystyle \frac{1}{15} [/tex] Cup of butter

2. The recipe for 5 waffles is as follows;

[tex] \displaystyle 1\frac{1}{2} [/tex] cups of flour

[tex] \displaystyle \frac{1}{3} [/tex] teaspoon of salt

[tex] \displaystyle 2 [/tex] teaspoons of baking powder

[tex] \displaystyle \frac{7}{8} [/tex] Cups of milk

[tex] \displaystyle \frac{1}{6} [/tex] Cup of butter

3. The recipe for 300 waffles is as follows;

900 cups of flour

200 teaspoon of salt

1200 teaspoons of baking powder

525 Cups of milk

100 Cup of butter

4. The required number of waffle irons is 50

5. It would take approximately 6 servers

It would take 34 trips

What is a rational number?

A rational number is one that can be expressed as a fraction.

From the given table, we have;

The recipe for 10 waffles includes;

3 cups of flour

[tex] \displaystyle \frac{2}{3} [/tex] teaspoon of salt

4 teaspoons of baking powder

[tex] \displaystyle 1\frac{3}{4} [/tex] Cups of milk

[tex] \displaystyle \frac{1}{3} [/tex] Cup of butter

1. To make 2 waffles, we have;

[tex] \displaystyle 2 = \frac{10}{5} [/tex]

Dividing each of the quantities required to make 10 waffles by 5 gives;

[tex] \displaystyle \frac{3}{5} [/tex] cups of flour

[tex] \displaystyle \frac{2}{3 \times 5} = \frac{2}{15} [/tex] teaspoon of salt

[tex] \displaystyle \frac{4}{5} [/tex] teaspoons of baking powder

[tex] \displaystyle \frac{1\frac{3}{4}}{5} = \frac{7}{20} [/tex] Cups of milk

[tex] \displaystyle \frac{\frac{1}{3}}{5} = \frac{1}{15} [/tex] Cup of butter

2. If each person gets 1 waffle, we have;

Number of waffles = 1 + 4 = 5

[tex] \displaystyle 5 = \frac{10}{2} [/tex]

Dividing the recipe for 10 waffles by 2 gives;

[tex] \displaystyle \frac{3}{2} = 1\frac{1}{2} [/tex] cups of flour

[tex] \displaystyle \frac{2}{3 \times 2} = \frac{1}{3} [/tex] teaspoon of salt

[tex] \displaystyle \frac{4}{2} = 2 [/tex] teaspoons of baking powder

[tex] \displaystyle \frac{1\frac{3}{4}}{2} = \frac{7}{8} [/tex] Cups of milk

[tex] \displaystyle \frac{\frac{1}{3}}{2} = \frac{1}{6} [/tex] Cup of butter

3. When each of 300 people can have one, the number of waffles is 300, which gives;

30 × 10 = 300

Multiplying the quantity of each ingredients required to make 10 waffles by 300 gives;

300× 3 = 900 cups of flour

[tex] \displaystyle 300 \times \frac{2}{3} = 200 [/tex] teaspoon of salt

300 × 4 = 1200 teaspoons of baking powder

[tex] \displaystyle 300 \times 1\frac{3}{4} = 525 [/tex] Cups of milk

[tex] \displaystyle 300 \times \frac{1}{3} = 100 [/tex] Cup of butter

4. Time it takes to cook a waffle = 10 minutes

Number of waffles required = 300

Time allowed = 1 hour = 60 minutes

The number of waffle iron is therefore;

[tex] \displaystyle {n = \frac{300 \times 10}{60} = 50} [/tex]

The number of waffle irons required is 50 waffle irons

5. Number of waffles each server can deliver = 9 waffles

The time it takes each server per trip = 10 minutes

Number of waffles to be delivered = 300

Time in which to deliver the 300 waffles = 1 hour

The number of servers is therefore;

[tex] \displaystyle {n = \frac{300}{9 \times 6} = 5. \overline 5 \approx 6} [/tex]

The number of trips is therefore;

5 servers will deliver 5×9×6 = 270

The sixth server will deliver the remaining 300 - 270 = 30 waffles in 30 ÷ 9 = 3.3 ≈ 4

The number of trips all together is therefore; 5×6 + 4 = 34 trips

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The sum of two consecutive integers is 97. What is the smaller integer?

Answers

Answer: 48 is the smaller integer

Step-by-step explanation: 48+49=97 48 and 49 are the two integers, 48 is smaller than 49.

tell me if the way I did it includes what's in this equation like if its commutative, associative, distributive or combined like terms

Answers

On the first line the distributive property was used. This property says that the product of a constant with a sum of two numbers is equal to the sum of the products.

On the third line the "associative" property was used. This property says that if you have the sum of three numbers the order at which you sum them doesn't affect the results.

HELP ASAP-GETS BRAINIEST GETS 100 POINTS.
In a theater with 30 rows the number of seats in a row increases by two with successive row. the front has 15 seats find the total seating capacity of the theater.

Answers

Answer:

75

Step-by-step explanation:

15 + 2 × 30

Answer:

1320 seats.

Step-by-step explanation:

The given scenario can be modeled as an arithmetic series.

[tex]\boxed{\begin{minipage}{7.3 cm}\underline{Sum of the first $n$ terms of an arithmetic series}\\\\$S_n=\dfrac{1}{2}n[2a+(n-1)d]$\\\\where:\\\phantom{ww}$\bullet$ $a$ is the first term. \\ \phantom{ww}$\bullet$ $d$ is the common difference.\\ \phantom{ww}$\bullet$ $n$ is the position of the term.\\\end{minipage}}[/tex]

The first term is the number of seats in the front row.

Given that the number of seats in a row increases by 2 with each successive row, the common difference is 2.

The nth term is 30 since there are 30 rows in the theater.

Therefore:

a = 15d = 2n = 30

Substitute the values into the arithmetic series formula and solve:

[tex]\implies S_{30}=\dfrac{1}{2}(30)[2(15)+(30-1)2][/tex]

[tex]\implies S_{30}=15[30+(29)2][/tex]

[tex]\implies S_{30}=15[30+58][/tex]

[tex]\implies S_{30}=15[88][/tex]

[tex]\implies S_{30}=1320[/tex]

Therefore, the total seating capacity of the theater is 1320 seats.

the difference between the are of arc length and area of a sector please include the formulas for both in your answer
Person with the correct answer gets brainliest

Answers

Arc length is the distance between two points on a circle, along the circumference, and sector is the area that is bounded between the arc and the centre point by drawing two radii at the endpoints of the arc to the centre.

Select the correct answer from each drop-down menu.
AABC is translated 6 units up and 3 units left to create AABC

If vertex A is at (-1, 2) and vertex B is at (1, 5), then vertex A' is at
Reset
V
and vertex B is at
Next

Answers

From the translation described, If vertex A is at (-1, 2) and vertex B is at (1, 5), then vertex A' is at (-4, 8). See the justification for the same below.

What is a vertex?

A vertex is a specific point of a mathematical object that is often where two or more lines or edges intersect. Angles, polygons, polyhedra, and graphs are the most typical places to find vertices. Nodes are another name for graph vertices.

The explanation of the translation is given as follows:

According to the translation rule for translating a point h units left is given as:- (x, y) → (x-h, k)

The translation rule for translating point k units up is given as:

(x,y) → (x, y+k).

Since ∆ABC is translated 6 units up and 3 units left to create ∆A'B'C'. If vertex A is at (-1, 2) and vertex B is at (1, 5).

Then,

The vertex A' =

A (-1, 2) → (-1 -3, 2+6)

= (-4, 8)

Therefore, the vertex A' is at (-4,8).

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From the translation described, the vertex A' is at the point (-4,8).

What is a vertex?

A vertex is a specific point of a mathematical object that is often where two or more lines or edges intersect.

Angles, polygons, and graphs are the most typical places to locate the vertices.

The explanation of the translation will be:

Based on the translation rule for translating a point h units left is follows as

(x, y) → (x-h, k)

The translation rule for point k units up is follows as:

(x,y) → (x, y+k).

Since ∆ABC is translated to the 6 units up and 3 units left to create ∆A'B'C'. If vertex A is at (-1, 2) and vertex B is at; (1, 5).

The vertex A' ;

A (-1, 2)

(-1 -3, 2+6)

= (-4, 8)

Therefore, the vertex A' is at the point (-4,8).

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Please help I need answers right now plsssss. The angle of elevation to a nearby tree from a point on the ground is measured to be 54 degrees . How tall is the tree if the point on the ground is 52 feet from the tree? Round your answer to the nearest hundredth of a foot if necessary.

Answers

Using the angle of elevation, the height of the tree is 71.57 feet.

How to find the height of the tree using angle of elevation?

The angles of elevation to a nearby tree from a point on the ground is measured to be 54 degrees.

The distance from the tree to the point on the ground is 52 feet.

The height of the tree can be found as follows:

The situation can be modelled to a right triangle.

Therefore, the height of the tree is the opposite side of the right triangle formed.

Hence,

tan ∅ = opposite / adjacent

where

∅ = angle of elevation

tan 54 = h / 52

cross multiply

h = 52 tan 54

h = 52 × 1.37638192047

h = 71.5718598645

Therefore,

height of the tree = 71.57 feet.

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