If you place a 32-foot ladder against the top of a building and the bottom of the
ladder is 24 feet from the bottom of the building, how tall is the building? Round to
the nearest tenth of a foot.
Pleas help ASAP

Answer:

a) A =( x^2 -4x)/2

b) 16 cm^2

Step-by-step explanation:

Let the base of the triangle be x cm

since it is longer, then the height would be (x-4) cm

Mathematically, the area of a triangle is the product of the base and the height divided by 2

So, we have this as;

A = 1/2(x-4)x

A = x(x-4)/2

A = (x^2 - 4x)/2

A =( x^2 -4x)/2

To find the area, we only need to substitute 8 cm for x

we have this as;

A = (8^2 -4(8))/2

A = (64-32)/2 = 32/2 = 16 cm^2

We will begin by converting the word problem to relatable mathematical expression in the first part, in the second part, we will substitute for x and find the area which is 48cm^2

Given data

Let the height be x cm

and let the base be y cm

Going by the word problem statement "base that is 4cm longer than its height."

y = x+4

a. the polynomial expression for the area of the triangle is

We know that the area of triangle is given as

Area = 1/2*Base*Height

Area = 1/2*(x+4)*x

Area = 1/2*x^2+4x

Simplify

Area = x^2/2 + 2x

b. The Area when the height is 8cm

We will substitute x= 8cm

Area = (8)^2/2 + 2(8)

Area = 64/2 +  16

Area = 32+16

Area = 48 cm^2

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Answer:

4 1/2 cups of ice cream

Step-by-step explanation:

since the denominators are the same, we look at the numerator.

2 x 4 = 8 out of 9 cups

Answer:

31

Step-by-step explanation:

Answer:

31

Step-by-step explanation:

Answer:

The answer is "[tex]44 \ m^2[/tex]"

Step-by-step explanation:

[tex]R=4.5 \ m \\\\r=2.5\ m\\\\[/tex]

The area between two concentrated circles via an exterior circle radius R and an internal circle

[tex]r =\pi(R^2-r^2)[/tex]

The region, therefore, consists of two concentrated circles with radii of 4.5 m and 2.5 m.

[tex]r=\pi(4.5^2 -2.5^2)\\\\[/tex]

  [tex]=\frac{22}{7} (20.25-6.25) \\\\ =\frac{22}{7} (14) \\\\=22 \times 2 \\\\ =44 \ m^2[/tex]

Answer:

408

Step-by-step explanation:

Volume = length times width times height

So in this situation we can see that 17 is the length, 8 is the width, and 6 is the height

Knowing this information we can continue

If you think of a regular cube, you can split it diagonally and then it would be 2 triangles

So we can split the width, in halve which would be 4 and then apply the formula 4*6*17 and when you solve that you get 408 Now we have to split that in halve because remember it is a triangle and a triangle is halve of a square. Halve of 408 is 204.

If we repeat that prosses for the other side we will also get 204. Now we add 204+204 to get our answer 408.

Sorry is this was a little confusing but that's the best I can explain it.

Hope that helped and have a great day!

Step-by-step explanation:

Answer:

third in line

Step-by-step explanation:

hope this helps

Answer:

I think is third in line

Step-by-step explanation:

I believe so

Answer:

y+4= 1/4 * (x+6)

* = Multiply symbol...

Step-by-step explanation:

Point Slope formula is y-y1=m(x-x1)

All you have to do is plug those y's and x's in and you get most of your answer. The part with the actual math is that to find the m which is the slope, you have to do y2-y1/x2-x1. So 2/8 which simplified to 1/4. And BAM point Slope formula.

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Miracle Aryan in YT

Answer:

area of sector A =  47.97 in²

area of sector C = 109.03 in²

Step-by-step explanation:

area of full circle = πr² = (3.14)(10²) = 314 in²

area of sector A = (55/360)(314) = 47.97 in²

area of sector C = (314/2) - 47.97 = 109.03 in²

Answer: 17 minutes

Step-by-step explanation:

Answer:

17 minutes

Step-by-step explanation:

Just do 52-35, simple math

Answer:

c = 2 * 3.14 * r    and     c = 3.14 * d

Step-by-step explanation:

The formulas for the circumference of a circle are

c = 2πr   and   c = πd

where r is the radius and d is the diameter

using π = 3.14

the formulas become

c = 2 * 3.14 * r    and     c = 3.14 * d

Answer:

a) 0.3.

b) 1.117287138  to  9 dec. places.

d)3.

Step-by-step explanation:

a and d: the powers 1/3 and 0.333... is  the cube root.

c: 0.5 = the square root.

b is found using a calculator

Answer:5.0

Step-by-step explanation:

The volume of a cylinder is [tex]\pi r^2h[/tex], since the radius is 1/2D, 2/2=1. Now, if [tex]\pi[/tex] is rounded to 3.14, the volume of the cylinder would be 1 x 1 x 3.14 x 4 = 12.56. Now, since there are 0.4 pound per cubic inch, 12.56 x 0.4 = 5.024. Rounded to tenth, the answer is 5.0 or 5.

Hope this helps!

Answer:

d. 30

A = a+b /2 h

A = 6+9/2 × 4

A = 30

Answer:

D, but I am not too sure.

Good luck

Answer:

-4 , 0 would be the answer your looking for I believe

Answer:

800 in²

Step-by-step explanation:

Let’s find the area of all the shapes in the net.

10 · 10 = 100

100 · 2 = 200

15 · 10 = 150

150 · 4 = 600

200 + 600 = 800

Answer:

3 * 5/6 = 15/6 hours

Step-by-step explanation:

From the figure attached :

The bar is divided into 6 equal parts ; with 5 of the sections being shaded and 1 left unshaded

The shaded represent the actual playing time

Unshaded portion = time spent in commercials

Using the model, the actual playing time of the movie excluding commercials :

(Shaded portion / total portion) * movie length

5 / 6 * 3 = (5*3) / 6 = 15/6

Answer:me dont know

Step-by-step explanation:

idek

Answer:

A. 2694709

Step-by-step explanation:

58308-35553=22755

22755 is the population of Gray County.

Add this number to the other numbers:

22755 + 58308 + 2416014 + 197632 = 2694709

Answer:

they have different areas and different perimeters

Step-by-step explanation:

Answer:

?

Step-by-step explanation:

Whats the question?

The proportionality constant if, A small smoothie will be 16 fluid ounces and sell for $3.52 is 22.

When the corresponding elements of two numerical sequences, frequently experimental data, have a fixed ratio, this is referred to as the coefficient of proportionality, and the two sequences are said to be proportional or directly proportional.

Given:

A small smoothie will be 16 fluid ounces and sell for $3.52,

Convert the price of the smoothie in cents as shown below,

The price of a smoothie = 3.52  × 100   ($1 = 100 cents)

The price of a smoothie = 352 cents

Calculate the proportionality constant as shown below,

The proportional constant = Fluid / price

The proportional constant = 352 / 16

The proportional constant = 22

Thus, The proportional constant is 22.

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The complete question is: The owners of a smoothie shop want the price of each size smoothie to be proportional to the amount of liquid it contains. A small smoothie will be 16 fluid ounces and sell for $3.52. Find the proportionality constant.

Answer:

X = 6

Step-by-step explanation:

Heights is 5x

Lengths is 6x

The solution for the x is 7 as per the concepts of similar polygons.

Given that the polygons in each pair are similar.

To find the value of x, we can set up a proportion between the corresponding side lengths of the two similar polygons.

We have the following proportion:

(6x - 7) / 42 = 25 / 30

To solve this proportion, we can cross-multiply:

30(6x - 7) = 42(25)

Simplifying further, we get,

180x - 210 = 1050

Next, we isolate the variable by adding 210 to both sides of the equation:

180x = 1260

Finally, we divide both sides by 180 to solve for x:

x = 1260 / 180

Simplifying:

x = 7

Therefore, the value of x is 7.

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Answer: the area should be 384cm

Step-by-step explanation:

Answer:

28 dollars

Step-by-step explanation:

A shirt cost 25

a sweater Is 3 ”more”

so shirt= 25+ x        Sweater: 28

Answer:

B

Step-by-step explanation:

area for triangle

9x3=27

27/2= 13.5

area for trapezoid

6+9= 15

15(6)= 90

90/2=45

45+13.5= 58.5 ft²

Answer:

Solution given:

the area of the red triangle =½(a×b)unit²

So area

Answer:

29565x(10^5)

Step-by-step explanation:

heartbeat in 1 day=10^5.

we have 365 days in a year. it means that;

365x(10^5)=365x(10^5). this is heartbeat for 1 year.

then for 81 years,we multiply the value of 1 year heartbeat by 81.

=29565x(10^5).

Answer:

the answer is 35 cm

Step-by-step explanation:

to make sure that you dont have a problem next time here is a formula

area of any polygon is the sum of all sides so 9 + 9 + 12 + 5 = 35