Mathematics High School

Use the graph below to answer the following question.

Answers

Answer 1

A,I think I don’t really know

Answer 2

Answer:

2001-2003

Step-by-step explanation:

This because the trend is almost the same in these yrs

Related Questions

The angle of elevation to a nearby tree from a point on the ground is measured to be 52
∘
∘
. How tall is the tree if the point on the ground is 82 feet from the tree? Round your answer to the nearest hundredth of a foot if necessary.

Answers

The elevation and the top of the tree form a right triangle

The height of the tree is 104.96 feet

How to determine the height of the tree?

The given parameters are:

Angle of elevation = 52 degreesHorizontal distance (b) = 82 feet

The height (h) of the tree is calculated using the following trigonometry ratio

tan(α) = h/b

Make h the subject

h = b * tan(α)

Substitute known values

h = 82* tan(52)

Evaluate the product

h = 104.96

Hence, the height of the tree is 104.96 feet

Answers

Answer:

the question is blurry, please resend it

The slope of a given line is. 3/5 What is the slope of the line parallel / perpendicular to
it? Write your answer as a fraction in simplest form.

Answers

Perpendicular lines have negative reciprocal slopes. That means the fraction is flipped and multiplied by negative 1. So if one line has a slope of 3/5, then a line perpendicular to it has a slope of -5/3.

A line perpendicular to another has a slope that is the negative reciprocal of the slope of the other line. The negative reciprocal of the original line is –2, and is thus the slope of its perpendicular line

Given m
|| n, find the value of x and y.

Answers

Answer:

55 degrees

Step-by-step explanation:

well, x is on the same line as 125, and a line is always a straight 180 degrees, so you subtract 180-125=55, and angle x and angle y are corrisponding angles, so y also equals 55 degrees.

hope that helps!

Answer the question below:

Answers

Answer:

5 students did.

Step-by-step explanation:

20 students. 1/4 of 20 is 5

A plot of corn is 8 1/2 yards wide. It is 9 1/4 times as long as it is wide. How long is the plot of corn?

Answers

Answer:

[tex]78 \frac{5}{8} [/tex]

Step-by-step explanation:

[tex]for \: the \: width = 8 \tfrac{1}{2} \\ = \frac{17}{2} \\ sine \: the \: width \: is \: 9 \frac{1}{4} a \: long \\ 9 \ \frac{1}{4} = \frac{37}{4} \\ lenht \: of \: the \: plot = \ \frac{17}{2} \times \frac{37}{4} = \frac{629}{8} = 78 \ \frac{5}{8} \\ it \: will \: be78 \ \frac{5}{8}long [/tex]

Which units are most appropriate for describing the amount of water in the pool when it is full?

milliliters
cubic centimeters
quarts
millions of liters

Answers

Answer:

Cubic centimetres

Step-by-step explanation:

Milimetres will be very big numberQuarts are not applicableMillions of liters will give decimal units

Cubic centimetres is perfect

1cm³=1l

We have a shape that has an area of 112 inches squared. Convert the units to centimeters squared. (HINT: Perform multiple conversions). Don’t forget to show your work.

Answers

Answer:

722.5792 cm²

Step-by-step explanation:

1 in ≈ 2.54 cm

Squaring both sides:

⇒ (1 in)² ≈ (2.54 cm)²

Apply exponent rule (ab)² = a²b²

⇒ (1)² in² ≈ (2.54)² cm²

⇒ 1 in² ≈ 6.4516 cm²

Therefore, to convert an area measured in inches squared to centimeters squared, multiply by 6.4516:

⇒ 112 in² ≈ (112 × 6.4516) cm²

= 722.5792 cm²

John is solving x^2 + 4x + 8=0 by completing the square. Which step would be part of John's solution.?

(x + 4)^2 = - 4
(x+2)^2 = - 4
(x+4)^2 = - 8
(x + 2)^2 = - 8

Answers

Answer:

[tex](x + 2) ^{2} = - 8[/tex]

Step-by-step explanation:

[tex] {x}^{2} + 4x + 8 = 0 \\ {x }^{2} + 4x = - 8 \\ {x}^{2} + 4x + 4 = - 8 + 4 \\ ( x + 2)^{2} = - 4[/tex]

Are the expressions 5(3a+2) and 15a+2 equivalent? Justify your answer.
SOLVE equations, SHOW WORK, AND EXPLAIN

Answers

No. For the parenthesis, you would have to divide out both numbers. 5•3a and 5•2. This would equal 15a+10 and that does not equal 15a+2

ABC is a right triangle at B such that
AB = 8 cm and AC = 10 cm.
1° Calculate BC
2º Consider a point M of the segment [AB]
The line passing through M and parallel to the
line (AC) cuts the line (BC) in N.
Supposing that AM = x, calculate MB and BN in
5
terms of x. then verify that MN (8 - x).
4
3° Let D be the fourth vertex of rectangle
ABCD.
The parallel to (BD) passing through M.cuts the
line (AD) at P
Calculate AP and MP in terms of x
4° Prove that the perimeter of the polygon
MNCDP is independent from x

Answers

Answer:

Question 1

Pythagoras' Theorem: a² + b² = c²

(where a and b are the legs, and c is the hypotenuse, or a right triangle)

Given:

a = BCb = AB = 8cmc = AC = 10 cm

⇒ BC² + 8² = 10²

⇒ BC² = 36

⇒ BC = 6 cm

Question 2

Given:

AB = 8 cmAM = x

⇒ MB = AB - AM = 8 - x

As ΔABC ~ ΔMBN

⇒ AB : AC = MB : MN

⇒ 8 : 10 = (8 - x) : MN

[tex]\sf \implies \dfrac{8}{10}=\dfrac{(8-x)}{MN}[/tex]

[tex]\sf \implies \dfrac45=\dfrac{(8-x)}{MN}[/tex]

[tex]\sf \implies MN=\dfrac54(8-x)[/tex]

Question 3

D = (6, 8)

As ΔBAD ~ ΔMAP

⇒ AB : AD : BD = AM : AP : MP

⇒ 8 : 6 : 10 = x : AP : MP

[tex]\sf \implies \dfrac{8}{6}=\dfrac{x}{AP}[/tex]

[tex]\sf \implies AP=\dfrac34x[/tex]

[tex]\sf \implies \dfrac{8}{10}=\dfrac{x}{MP}[/tex]

[tex]\sf \implies MP=\dfrac54x[/tex]

Question 4

Perimeter of MNCDP = MN + NC + CD + PD + MP

As ΔABC ~ ΔMBN

⇒ AB : BC : AC = MB : BN : MN

⇒ 8 : 6 = (8 - x) : BN

[tex]\sf \implies \dfrac86=\dfrac{(8-x)}{BN}[/tex]

[tex]\sf \implies BN=\dfrac34(8-x)[/tex]

NC = BC - BN

[tex]\sf \implies NC=6-\dfrac34(8-x)[/tex]

PD = 6 - AP

[tex]\sf \implies PD=6-\dfrac34x[/tex]

Perimeter of MNCDP = MN + NC + CD + PD + MP

[tex]\sf \implies perimeter=\dfrac54(8-x)+6-\dfrac34(8-x)+8+6-\dfrac34x+\dfrac54x[/tex]

[tex]\sf \implies perimeter=10-\dfrac54x+6-6+\dfrac34x+8+6-\dfrac34x+\dfrac54x[/tex]

[tex]\sf \implies perimeter=10+8+6=24[/tex]

The circumference of the Earth is 2.4x10^4 miles. If you traveled at an average of 8.5x10 miles per hour, how long would it take for you to go around the Earth? Round your answer to the nearest whole number.

Answers

It will take approximately 282.352 hours for one to go round the earth, this is equivalent to 11.764 days

Speed, Distance and Time

Given Data

Circumference of Earth = 2.4x10^4 milesDistance round the earth = 2.4x10^4 milesSpeed = 8.5x10 miles per hour

We know that the relationship between speed, distance and time is given as

Speed = Distance/Time

Hence,

Time = Distance/Speed

Substituting our given data into the expression we have

Time = 2.4x10^4/8.5x10

Time = 2.4x10^3/8.5

Time = 282.352 hours

Learn more about speed, distance and time here:

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Hiroko is trying to find the value of d in 10d + 490 = 2,500. he starts by correctly rewriting the equation as 10(d + 49) = 10(250). How could this help Hiroko figure out the value of d?

Answers

Answer:

Hiroko removed common factors, which leads to smaller numbers, which can be easier to work with.

Step-by-step explanation:

However, this step is not entirely needed in the grand scheme of solving the problem. It simply uses smaller numbers to digest.

Do the opposite of PEMDAS when isolating the variable, d. Note the equal sign, what you do to one side of the equal sign, you do to the other.

PEMDAS is the order of operations, and stands for:

Parenthesis

Exponents (& Roots)
Multiplication

Division

Addition

Subtraction.

First, subtract 490 from both sides of the equation:

10d + 490 (-490) = 2500 (-490)

10d = 2500 - 490

10d = 2010

Next, divide 10 from both sides of the equation:

(10d)/10 = (2010)/10

d = 2010/10

d = 201

201 is your value for d.

Find the missing length. Round to the nearest tenth, if necessary. A right triangle has legs measuring 8 units and x units and a hypotenuse measuring 21 units.

Answers

Answer:

168

Step-by-step explanation:

Please help me out I’m really bad

Answers

x+120=180(co-interior)
x=180-120
.•.x=60

Kalvin's sister Kate finds yet another way for him to pick his
breakfast. She places one blue marble and one red marble in each
of two bags. She says that each morning he can choose one marble
from each bag. If the marbles are the same color, he eats Cocoa Blast.
If not, he eats Health Nut Flakes. Explain how selecting one marble
from each of the two bags and tossing two coins are similar.

Answers

Answer:

The probability of each is 50-50.

Step-by-step explanation:

With the marbles, there are four different outcomes: red-blue, blue-red, red-red, and blue-blue. Because one outcome is for same colors and the other is different colors, the probability of either is 2/4, or 1/2, or 50%. This is the same as tossing a coin. Hope this helps!

Find the area of the figure in the picture below

Answers

Answer:

183 cm^2

Step-by-step explanation:

the line through the shape line means that they are equivalent meaning the side that is empty not making the trapezoid would be 9 as well. moving the 3 over since it is right next to it. 3 times 9 equal 27cm^2. later we are gonna use this number to subtract

then make a different equation with 3+9 to the the full height of the trapezoid pretending it is not missing anything. 3+9=12

then use the formula to find the area of the trapezoid which is 1/2(h)(b1+b2)

add the 2 bases together to get 35. how did i get 35. 12+14=26 yes then include the 9 to get 35.

1/2(height=12)(35)=6(35)=210cm^2

then you used 210-27 to get 183cm^2

Please help with my homework. I will give a brainlist out. Only solve 27 please.

Answers

Area=85fr²Base=17ft

Now

Base×Height=8517H=85H=85/17H=5ft

pleessss helpppp for brainlyyyyy

Answers

$37.51 - the third option above

Step-by-step explanation:

1600 x 1.053^3= 1868.12

1600x1.06^3 =1905.63

Difference

1905.63-1868.12= 37.51

$37.51

Hope this helps!

Finn removes the plug from a trough to drain the water. the volume, in gallons, in the trough after it has been unplugged can be modeled by the expression 12x2 −13x 3, where x is the time in minutes. choose the appropriate form of the expression that would reveal the time in minutes when the trough is empty. 12(0)2 − 13(0) 3 (3x − 1)(4x − 3) 12(x − 3)2 − 1 12(x − 1)2 − 3

Answers

The given expression [tex]\rm 12x^2-13x+3[/tex]equivalent to (3x - 1)(4x - 3) option second is correct.

What is a quadratic expression?

A quadratic expression is a second-degree algebraic expression represented by the:

[tex]\rm f(x)=ax^2+bx+c[/tex] ........(1)

Where a, b, and c are the constants and

We have the quadratic expression:

[tex]\rm f(x)=12x^2-13x+3[/tex]

[tex]\rm f(x)=12x^2-9x-4x+3[/tex] (we can write -13x as a sum of -9x and -4x)

After taking common term, we get:

[tex]\rm f(x)=3x(4x-3)-(4x-3)[/tex]

[tex]\rm f(x)=(4x-3)(3x-1)[/tex] or

[tex]\rm f(x)=(3x-1)(4x-3)[/tex]

Thus, the given expression [tex]\rm 12x^2-13x+3[/tex] is equivalent to (3x - 1)(4x - 3).

Learn more about quadratic equations here:

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the 7th grade has 207 students. there are 23 more girls than boys in the grade. how many boys are in the 7th grade

Answers

Answer:

92 boys

Step-by-step explanation:

I hope this helps! Have a lovely day!! :)

Answer:

42 boys

Step-by-step explanation:

Represent the number of boys with 'b' and that of girls with 'b + 23.'

Then b + (b + 23) = 207.

Simplifying, we get 2b = 84, so that b is 42. There are 42 boys and

(42 + 23) girls, or 65 girls.

In a call center that stays open all the time, calls arrive as a poisson process with a mean rate of 0.3 complaints per hour.(a) (5 points) after receiving a call (the 1st call), what is the probability that the 51st call arrives within 150 hours?(b) (5 points) after receiving a call, what is the probability that the next call arrives after 2 hours?(c) (5 points) the number of calls received each day is recorded for 50 consecutive days. find the probability that the sum of these 50 numbers is less than 356.

Answers

The probability the 51st call arriaves within 150hours is 0.0431, the probability the next call arrives within the next 2 hours 0.5488, the probability the sum of these 50 numbers is less than 356 is 0.4165.

Data;

Mean rate = 0.3x = 50standard deviation = ?

Poission Rule

Using poission formula,

[tex]P(x=x) = \frac{e^-^\lambda - \lambda^x}{x!}\\\lambda = 0.3 per minute[/tex]

Let's substitute the values into the formula.

For 50 calls in 150 hours

For 150 hours = x = 0.3 * 150 = 45

[tex]p(x=50) = \frac{e^-^4^5 * 45^5^0}{50!} = 0.0431[/tex]

The probability the next call arrives after 2 hours.

[tex]\lambda = 0.3 * 2 = 0.6\\p(x=0) = \frac{e^-^0^.^6 * 0.6^0}{0!} = 0.5488[/tex]

The number of calls recieved each day is recorded for 50 consecutive days.

for 50 days;

[tex]\lambda = 0.3 * 50 * 24 = 360[/tex]

The mean = 360

The standard deviation is given as

[tex]S.D = \sigma =\sqrt{360} = 18.974\\[/tex]

The probability the sum of these 50 number is less than 356 is

[tex]p = (x < 356) = z = \frac{356 - 360}{18.974} = -0.2108\\p(z < -0.2108) = 0.4165[/tex]

Learn more on poission formula here;

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Lana does yard work. The information below shows the approximate time for each job:
Mow small lawn - 1/2hr
Mow large lawn - 3/4hr
Tidy yard - 1 1/2hr
Plant annuals - 2 1/2hrs
For one Saturday, Lana needs to mow 3 small lawns, mow 1 large lawn, tidy 2 yards, and plant annuals once. She needs travel time between jobs, and a break for lunch. Do you think she will be able to complete all of the jobs in one day? Justify your answer.

Answers

Answer:

No, not enough time

Step-by-step explanation:

Time to complete each of jobs

1/2 * 3 = 1 1/2 hrs3/4 * 1 = 3/4 hr1 1/2 * 2 = 3 hrs2 1/2 * 1 = 2 1/2 hrs

Total time at job

1 1/2 + 3/4 + 3 + 2 1/2 = 7 3/4 hrs

If the work day lasts for 8 hours, then Lana has only 1/4 hr to travel between jobs and a lunch break.

This time is not sufficient so she can't complete all the jobs.

Answer:

No (see explanation below)

Step-by-step explanation:

Approximate times to carry out each job:

Mow small lawn = 1/2 hrMow large lawn = 3/4 hrTidy yard = 1 1/2 hrPlant annuals = 2 1/2 hrs

For one Saturday, Lana needs to:

mow 3 small lawnsmow 1 large lawntidy 2 yardsplant annuals once

Therefore, the total time for the jobs is:

[tex]\begin{aligned}\sf Total\:time & = \sf 3\:small\:lawns+1\:large\:lawn+2\:tidy\:yards+1\:plant\:annuals\\\\& = \sf 3 \cdot \dfrac{1}{2}+\dfrac{3}{4}+2 \cdot 1 \frac{1}{2}+2\frac{1}{2}\\\\& = \sf 1 \frac{1}{2}+\dfrac{3}{4}+3+2\frac{1}{2}\\\\& =\sf 7 \frac{3}{4}\: hours\end{aligned}[/tex]

The likelihood of Lana being able to complete all the jobs in one day is dependent on how far she needs to travel between jobs and how long she wishes to break for lunch. A typical working day is around 8 hours. Therefore, unless Lana wishes to work for a longer day, it is unlikely she will be able to complete all of the jobs in one day as there is only 15 minutes available for traveling and lunch, which is likely not enough.

Find the surface area - PLSS HELPP AND HURRY PLS

Answers

Answer:

A = 390

Step-by-step explanation:

l=14

w= 3

h= 9

A= 2 (wl+hl+hw) = 2 (3.14+9.14+9.3) = 390

Answer: 390in^2

Step-by-step explanation:

2(14 x 3) + 2(9 x 3) + 2(14 x 9)

84 + 54 + 252 = 390 in^2

Question five What is the perimeter? Use 3.14 for pi. Please Show Work! I Will Mark As Brainlest!!

Answers

Answer:

73.81

Step-by-step explanation:

You know that the formula for circumeference is 2(pi)r.

2x3.14x11=69.08;

However, a part of the circle is cut off, leaving 3/4 of it.

3/4x69.08=51.81.

However, you add the 11+11 to it because of the slice.

22+51.81=73.81

In the diagram, BD is a diameter of circle A. If the slope of BE is 3/2, what is the slope of BD

Answers

Answer:

Step-by-step explanation:

the slopes are perpendicular

find a slope perpendicular to 3/2

how to find:

change the sign of the slope and flip the fraction

-2/3 is the slope

The slope of BD is -2/3.

What is slope?

Numerical measure of a line's inclination relative to the horizontal. In analytic geometry, the slope of any line, ray, or line segment is the ratio of the vertical to the horizontal distance between any two points on it.

Given:

BD is a diameter of circle A. If the slope of BE is 3/2.

We have to find the slope of BD.

According to given question we have

We know that the slope of a perpendicular line from the slope of a given line is obtained by taking the negative reciprocal of the slope of the given line. If the slope of the given line is [tex]m_{1}[/tex] and the slope of a perpendicular line is [tex]m_{2}[/tex] then we have

[tex]m_{2} = -1/m_{1}[/tex]

So, the slope of BD is -2/3.

Therefore, the slope of BD is -2/3.

Learn more details about slope here:

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What is the lowest common denominator of 6,4,3,42?

Answers

Answer: 1

Step-by-step explanation: the lowest number they divide into evenly is 1

The box plots summarize the attendance for the spring musical and fall musical. Each musical was performed for six evenings. Which statement best describes the data represented in the box plots? (6.13A)

Answers

Answer:

Step-by-step explanation:

The 1st quartile is 135. The 3rd quartile is 195. To find the interquartile, you would subtract the 3rd quartile from the 1st quartile. 195-135=60. The interquartile range for the spring musical is 60

Find the volume of a cone that has a diameter of 14 feet and a height of 11 feet. Use 3.14 for pi

Answers

Answer:

564.15 cubic ft

[tex] \: [/tex]

Step-by-step explanation:

In the question, it is given that a cone has a diameter of 14 feet and a height of 11 feet and we have to find the volume of the cone.

[tex] \: [/tex]

To Find the volume of the cone, we must know this formula :

[tex] \\{\longrightarrow{ \qquad{\underline{\boxed {\pmb{\frak { Volume_{(cone) }= \dfrac{1}{3} \: \pi {r}^{2}h }}}}}}} \\ \\[/tex]

Where,

r refers to the radius of the cone. As the diameter is 14 ft, therefore the radius will 7 ft.

h refers to the height of the cone.

Now, we will substitute the values in the formula :

[tex] \\ {\longrightarrow{ \qquad{{ {\pmb{\sf { Volume_{(cone) }= \dfrac{1}{3} \times 3.14 \times {(7)}^{2} \times 11 }}}}}}} \\ \\[/tex]

[tex]{\longrightarrow{ \qquad{{ {\pmb{\sf { Volume_{(cone) }= \dfrac{1}{3} \times 3.14 \times 49 \times 11 }}}}}}} \\ \\[/tex]

[tex]{\longrightarrow{ \qquad{{ {\pmb{\sf { Volume_{(cone) }= \dfrac{1}{3} \times 3.14 \times 539 }}}}}}} \\ \\[/tex]

[tex]{\longrightarrow{ \qquad{{ {\pmb{\sf { Volume_{(cone) }= \dfrac{1}{3} \times 1692.46 }}}}}}} \\ \\[/tex]

[tex]{\longrightarrow{ \qquad{{ {\pmb{\sf { Volume_{(cone) }= \dfrac{1692.46}{3} }}}}}}} \\ \\[/tex]

[tex]{\longrightarrow{ \qquad{{ {\pmb{\sf { Volume_{(cone) }= \: \: \underline{ \boxed{ \frak{564.15 } }} }}}}}}} \: \: \bigstar \\ \\[/tex]

Therefore,

The volume of the cone is 564.15 ft³ .

Step-by-step explanation:

Given :-

Height of cone :- 11 feet Diameter of cone :- 14 feet , radius = 7 feet

To Find :-

Volume of cone

Solution:-

Formula for volume of cone = 1/3πr²h

putting the known values ,

Volume = 1/3×3.14×7²×11 cubic ft.

Volume = 564.15 cubic ft.

Write the absolute value equations in the form |x-b|=c (where b is a number and c can be either a number or an expression) that have the following solution sets. Two solutions: x=2, x=14

Answers

Answer:

|x - 8| = 6

Step-by-step explanation:

|x - b| = c

⇒ (x - b)² = c²

Given:

x = 2x = 14

Substitute the values of x into (x - b)² = c²:

(2 - b)² = c²

(14 - b)² = c²

Equate and solve for b:

(2 - b)² = (14 - b)²

⇒ 4 - 4b + b² = 196 - 28b + b²

⇒ 4 - 4b = 196 - 28b

⇒ 24b = 192

⇒ b = 8

Substitute b = 8 into the equations to find c:

x = 2 ⇒ |2 - 8| = 6

x = 14 ⇒ |14 - 8| = 6

Therefore, c = 6

Final equation: |x - 8| = 6

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