Answer:
c = 105 degres
Step-by-step explanation:
When two lines cross like that and form an x, the opposite sides are equal (so the angle below the 75 degree one is also 75 degees). Using this, you can figure out the rest.
If both the top an bottom are equal, you know that 150 degres are taken (75+75) and you know that there can only be 360 degres in total here, so you subtract 150 from 360 and get 210. Now you know that the last two sides together are 210, and since they are equal, you divide it by two to get 105 degrees.
For each of the 4 walls of the house, John will need 9 large
planks of wood. If each plank of wood needs 8 pieces of nails
to be secured, how many nails does John need for each wall
of the house?
Read and analyze the following. Write the correct answer.
1. What is a way of comparing two or more quantities?
2. What is the statement of equality between two ratio? Write a ratio of the following:
3. ?
4. ?
5. Compare the number of balloons to party hats. 三
6. Express the ratio in its simplest form the given figure in number 4. 7. Express the given ratio of four one-peso coins to Php80.00 coins in its simplest form using colon form. answer it with solution pls
Ratios are simply used to compare two or more related quantities
(a) Comparing quantities
To compare quantities, we make use of ratios.
Hence, a way to compare two or more quantities is by using ratio
(b) Statement of equality between ratios
When two or more ratios are equal, the ratios are said to be equivalent ratios
Hence, the statement of equality between ratios is equivalent ratios
(c) Express (3) and (4) as ratios
There are 10 stars and 8 crosses.
So, the ratio is 10 : 8
There are 3 toys and 9 books.
So, the ratio is 3 : 9
(d) Compare balloons and party hats
There are 12 balloons and 18 party hats.
So, the ratio is 12 : 18
Reduce the ratio as follows:
12 : 18 = 2 : 3 ---- this is done by dividing 12 and 18 by 6
So, the comparison is:
There are 2 balloons for every 3 party hats
(e) Simplify (4)
In (4), we have:
Ratio = 3 : 9
Divide by 3
Ratio = 1 : 3
Hence, the simplified ratio is 1 3
(f) Express the currency ratio in its simplest form
The ratio is given as:
Ratio = 4 * 1 peso coin : Php80.00 coin
Evaluate the product
Ratio = 4 peso coin : Php80.00 coin
Divide both sides by 4
Ratio = 1 peso coin : Php20.00 coin
Hence, the simplest form of the ratio is 1 : 20
Read more about ratios at:
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Gracy has fraction 4 over 5 pound of bird seed. She needs fraction 3 over 10 pound to feed the birds daily. Which of the rectangle models below shows how many days’ worth of seed Gracy has left?
Answer:
The last one is correct.
Step-by-step explanation:
[] Rewrite 4/5 as 8/10
[] 8/10 / 3/10 = 8/10 * 10/3 = 80/30 = 2 2/3 days
Have a nice day! - This is only correct if your models look like the ones I have attached
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
hello is anyone on here please helpGive possible values for the measures of angles and if is an acute triangle.
Answer:
Step-by-step explanation:
An acute triangle is a triangle in which all three angles measure less than 90 degrees. If any angle measures 90 or more degrees, we no longer have an acute triangle.
Convert the improper fraction below to a mixed number. 13/4
Answer:
3 1/4
Step-by-step explanation:
passes through (2,-3) with a slope of -9/2
Answer:
y = — 9/2x + 6
Step-by-step explanation:
m= —9/2
y — y1 = m (x — x1)
y + 3 = —9/2 (x — 2)
y = — 9/2x + 6
I'm going to pick a number between 0 and 10 inclusive, multiply it by 5, add 7 to the result, multiply that sum by 2, then pick a number between 0 and 10 to add to my product, then subtract 6. My result is 45. What is the product of the two numbers I picked?
We want to find the two numbers you picked, we will find that the two numbers you picked are 3 and 7.
First, you pick a number between 0 and 10, let's say that the number is N.
Then multiply it by 5 and add 7, so we get:
(5*N + 7)
Now we multiply this by 2
2*(5*N + 7)
Now we add another number between 0 and 10, let's call it M.
We need to add that to the product, and then subtract 6, and that will be equal to 45.
2*(5*N + 7) + M - 6 = 45
Now let's simplify the expression:
2*(5*N + 7) + M = 45 + 6 = 51
10*N + 14 + M = 51
10*N + M = 51 - 14 = 37
10*N + M = 37
With this, we want to find the values of N and M, but remember that these two values belong to the interval [0, 10]
So the only two solutions are:
N = 3 and M = 7
such that:
10*3 + 7 = 30 + 7 = 37
So the two numbers you picked are 3 and 7.
If you want to learn more, you can read:
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40 points! Help (Vectors)
Answer:
distance, speed, time, temperature , work, energy, charge, voltage are all scalar quantities. Displacement, velocity, acceleration, force, electromagnetic field are all vector quantities.
Step-by-step explanation:
Displacement and velocity.
In the expression 7x +8z + 10+ y
What is the coefficient of x?___
What is the coefficient of z? ___
What is the coefficient of y? ___
What is the constant? ____
Answer:
7
8
1
10
Step-by-step explanation:
the coefficient of x you look at x the number associated with x is the coefficient.same applies to z y and constant number independent of any letter
is the function linear or not
Linear.
[tex] \rm {6x}^{2} = 12[/tex]
[tex] \rm {x}^{2} = 12 \div 6[/tex]
[tex] \rm {x}^{2} = 2[/tex]
[tex] \rm x = \sqrt{2} [/tex]
C. 5.37. D.537
20. what is 8.75 divided by 1000?
A.0.0875
B.0.00875
C.0.000875
D.0.0000875
21. which of the following gives a terminating decimal quotient?
A.4÷5
B.3÷7
C.2÷3
D.1÷3
22.which of the following gives a non-terminating decimal quotient?
A.4÷5
B.2÷4
C.2÷3
D.1÷5
Answer:
B. 21. A 22. c
Step-by-step explanation:
8.75 ÷1000 move decimal point three places to the left.
21. A a whole number 0.80
22. C nonterminating decimal. 0.6666...
Please answer the question on the following screenshot
Answer:
E
Step-by-step explanation:
simplify the square root of -180
please show work
Answer:
6sqrt5
Step-by-step explanation:
50° x
how to find value of unknown angle
Answer:
a) 50
b) 86
c) x = 130 y = 50
Step-by-step explanation:
Opposite angles that share the same lines are always the same.
Express 24 minutes as a fraction of 2'/2 hours.
Step-by-step explanation:
1hr = 60
½ hr = 30
60 + 30 = 90
Find x using the pictures below please. Will mark branliest for first reply.
Step-by-step explanation:
a) We are going g to use the definition of tangent to find x:
[tex]\tan{18°} = \dfrac{opp}{adj} = \dfrac{15}{x}[/tex]
[tex]\Rightarrow x = \dfrac{15}{\tan{18°}} = 46.2[/tex]
b) To solve this problem, we are going to use the definition of cosine:
[tex]\cos{70°} = \dfrac{adj}{hyp} = \dfrac{x}{46}[/tex]
[tex]\Rightarrow x = 46\cos{70°} = 15.7[/tex]
The table below provides the values of the functions g(t) and h(t) for
several values of t.
Which of the following is a solution to the equation f(t)=h(t)
Answer:
D) t = 5
Step-by-step explanation:
when t =5 both functions have the same x and y value
Felicia bought 20.8 gallons of gasoline. There are approximately 3.8 liters in 1 gallon.
Answer:
79.04 liters
Step-by-step explanation:
20.8 x 3.8 = 79.04
Choose all of the equations that are equivalent to 8k = 20.
Answer:
D
Step-by-step explanation:
it's 100% I'm super sure
Please help me answer this question!!!
Answer:
B
Step-by-step explanation:
<STR = <SRT Given the markings of the triangle
<STR + <STU = 180 Supplementary angles
(2x - 9) + 7x = 180 Remove the brackets
2x - 9 + 7x = 180 Combine
9x - 9 = 180 Add 9 to both sides
9x = 180 + 9 Combine
9x = 189 Divide by 9
9x/9 = 189/9
x = 21
How many integers between 50 000 and 60 000 are squares of integers?
Perfect squares are the squares of integers
There are 990 integers between 50000 and 60000 that are squares of integers
There are 1000 perfect squares, and 100 perfect cubes between 1 and 1000000
This is because:
[tex]\mathbf{100000 = 1000^2 = 100^3}[/tex]
Rewrite as:
[tex]\mathbf{100000 = x^2 = y^3}[/tex]
Where x lies between 1 and 1000, and y lies between 1 and 100.
If y^3 is a perfect square, then y is a perfect square
List out the perfect squares from 1 to 1000
[tex]\mathbf{y = 1, 4, 9, 16, 25, 36, 49, 64, 81, 100}[/tex]
Take the cube of these numbers
[tex]\mathbf{y^3 = 1^3, 4^3, 9^3, 16^3, 25^3, 36^3, 49^3, 64^3, 81^3, 100^3}[/tex]
[tex]\mathbf{y^3 = 1, 64, 729, 4096, 15625, 46656, 117649, 262144, 531441, 1000000}[/tex]
So, the count of numbers that are perfect squares and perfect cubes between 1 and 1000000 is 10.
The count of integers between 50000 and 60000 that are squares of integers is:
[tex]\mathbf{n = x -10}[/tex]
Substitute 1000 for x
[tex]\mathbf{n = 1000 -10}[/tex]
[tex]\mathbf{n = 990}[/tex]
Hence, there are 990 integers between 50000 and 60000 that are squares of integers
Read more about perfect squares at:
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A recipe calls for 5 cups of cashews for 4 cups of flour. Using the same recipe, how many cups of flour will you need for 2 cups of cashews? » How many cups of flour will you need for 2 cups of cashews?
Answer:
8/5 cups
Step-by-step explanation:
equal 5/4 to 2/x x representing the amount of flour
cross multiply: 5x=8
divide: x=8/5
A watch loses 15 seconds every day how many minutes will it lose in 2 weeks.
2 weeks = 14 day
14 * 15 = 210 seconds
210/60=3 hours and 30 minutes or 3.5 hours.
Juan ate 26 carrots. Carmen ate 3 times as many carrots as Juan ate.
Select the multiplication equation that represents this situation.
Group of answer choices:
25 x 3 = 75
3 x 28 = 84
3 x 26 = 78
26 x 13 = 338
Answer:
It is the third one
Step-by-step explanation:
Answer:
3 x 26 = 78
Step-by-step explanation:
It's quite simple, when you look at the problem, it states Juan at 26 carrots. Carmen on the other hand ate 3 times as much. For the answer choices, they put Carmen's 3 first and Juan's 26 second.
Pls heeellllppppp me pls no links pls no fake answers and pls answer both questions
Answer:
I think it's True
Step-by-step explanation:
When you multiply a negative and positive, it equals a negative: (-)x(+)=(-)
^-2/5x > -8
Then multiply both sides of the inequality by ^-5/2 and flip the inequality sign
Which gives you:
x < 20
Answer:
Step-by-step explanation:
one would flip the sign on (-2/5)x > -8 because you would be multiplying by a negative number (- 5/2) to get positive x standing alone. It resolves to
x < 20
You would also flip the sign on
-x + ¾ < 10
-x + ¾ - ¾ < 10 - ¾
-x(-1) > 9¼(-1) multiplying by a negative number flips the sign.
x > - 9¼
what is 9x7write the answer down
Answer:
63
Step-by-step explanation:
Please help me please please help me will give brainly to whoever actually answers this question
9514 1404 393
Answer:
car value: $4,953.84population: 446maybe notStep-by-step explanation:
All of these exponential function problems use the same equation, but with different plug-in values. These can be easily accommodated by a spreadsheet or graphing calculator.
The general form of the value after t years is ...
(initial value)×(1 +annual growth rate)^(years)
The growth rate is positive for an increase, negative for a decrease.
a) Initial value: 22385; growth rate: -0.14; years: 10
value after 10 years: $22385×(1-0.14)^10 = $4953.84
__
b) initial value: 290; growth rate: 0.09; years: 5
population after 5 years: 290(1+.09)^5 = 446
__
c) initial value: $4000; growth rate: -0.10; years: 8
value after 8 years: $4000(1 -0.10)^8 = $1721.86
Selling the car for $1500 is selling it for less than its estimated value. That may not be a good decision.
_____
Additional comment
The property value of the car is not the only consideration when evaluating the sale. Other costs related to the car may come into play, and there may be tax implications.
itements are true.
Choose all answers that apply:
The equation represents a proportional relationship.
B
The unit rate of change of y with respect to z is 1.4.
o
5
The slope of the line is
7
50
A change of 2 units in I results in a change of 2.8 units in y.
-pts
A change of 3 units in a results in a change of 1.2 units in y.
All the statements that are true as regards the proportional relationship of the graph are;
A. The equation represents a proportional relationship
B. The unit rate of change of y with respect to x is 1.4
C. The slope of the line is 7/5
D. A change of 2 units in x results in a change of 2.8 units in y
What is the proportional relationship of the graph?The slope intercept form of the equation of a straight line is;
y = mx + b
where;
m is the slope.
b is the y-intercept.
Since the equation is given as y = 1.4x, then the slope is 1.4 and the y-intercept is 0.
A. The equation represents a proportional relationship;
This is true since the equation because y is always 1.4 times as large as x from the given equation relationship.
B. The unit rate of change of y with respect to x is 1.4;
This is true because when we divide both sides by 1.4, we will get;
y/x = 1.4
C. The slope of the line is 7/5;
This means that the slope is 7/5 = 1.4. This is same as the slope given and it is true.
D. A change of 2 units in x results in a change of 2.8 units in y;
This means that the slope is 2.8/2 = 1.4. This is same as the slope given and it is true.
E. A change of 3 units in a results in a change of 1.2 units in y;
This means that slope = 1.2/3
This is not equal to our given slope and so is not true.
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m∠BAC = ?
A.) 15
B.) 30
C.) 45
D.) 60
Answer:
B.) 30°Step-by-step explanation:
We know from the property of 30°x60°x90° right triangle:
The hypotenuse is twice the leg which is opposite to 30 angle.We see AC = 2*BC, therefore:
m∠BAC = 30°Correct choice is B
The ratio of angles is directly proportional to the ratio of sides
<B=90°The ratio of sides here is 1:1/2:1
Now
m<BAC be x[tex]\\ \sf\longmapsto 2x+x=90°[/tex]
[tex]\\ \sf\longmapsto 3x=90[/tex]
[tex]\\ \sf\longmapsto x=30[/tex]
The length of the
hypotenuse of a right-
angled triangle is 7.8 cm,
correct to 1 decimal place.
One of the shorter side
lengths is 2.1 cm, correct
to 1 decimal place. Estimate
the length of the remaining
side, rounding your answer
to 1 decimal place.
Answer:
7.5 cm
Step-by-step explanation:
Since it's a right triangle, apply pythegorean theorem
Let the missing side be x
[tex] {7.8}^{2} = 2.1 { }^{2} + x {}^{2} [/tex]
[tex]60.84 = 4.41 + {x}^{2} [/tex]
[tex] {x}^{2} = 60.84 - 4.41[/tex]
[tex] {x}^{2} = 56.43[/tex]
[tex] \sqrt{ {x}^{2} } = \sqrt{56.43} [/tex]
[tex]x = 7.5[/tex]
Therefore, the length of the missing side is 7.5 cm