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Hunter-Best [27]
3 years ago
14

Need help with two questions please

Mathematics
1 answer:
aleksley [76]3 years ago
7 0

Answer:

Question 1

since triangles are similar

angle B = angle D

8x + 16 = 120

x = 13

Question 2

Ttiangles are similar

therefore, sides are in ratio

AB ÷ XY = BC ÷ YZ = AC ÷ XZ

substituting all values we get

BC = 22

BC = 22AC = 16

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Bonnie planted a garden in her backyard. Both the garden and the backyard are right triangles. The garden is proportional to the
Mandarinka [93]
You can find the area of Bonnue's backyard by comparing the hypotenuse of the garden to the hypotenuse of the back yard.  If the hypotenuse of the garden is 10 (with the side lengths being 6, 8 and 10 - the longest is always the hypotenuse) and the hypotenuse of the back yard is 30, this is a scale factor of 3 (3 times longer).

This means the other two sides would also be 3 times longer.

6 yards x 3 = 18
8 yards x 3 = 24

To find the area using these dimensions, you will use the formula for finding the area of a triangle.

A = 1/2bh
A = 1/2 x 18 x 24
A = 216 square yards

The area of the backyard is 216 square yards.
8 0
3 years ago
What is 7285 divided by 4
serg [7]

Answer:

1821.25

Step-by-step explanation:

\frac{7285}{4} =  1821.25

5 0
3 years ago
A cone has a radius of 3 and a height given by the expression 2a. Which expression represents the volume of the cone?
DiKsa [7]
V=(1/3)hπr^2 where h=height and r=radius
given
radius=3
height=2a

r=3
h=2a

v=(1/3)hπr^2
v=(1/3)(2a)π(3)^2
v=(1/3)2aπ9
v=6aπ


so the expression would be some variaant of v=6aπ
5 0
3 years ago
Read 2 more answers
a small bridge sit atop for cube shaped powers that all have the same volume. The combined volume of the four pillars is 503 how
Natasha_Volkova [10]

Answer:

60 inches long are the sides of the pillars.

Step-by-step explanation:

Given : A small bridge sits atop four cube shaped pillars that all have the same volume. the combined volume of the four pillars is 500 ft cubed.

To find : How many inches long are the sides of the pillars?

Solution :

Refer the attached picture below for Clarence of question.

The volume of the cube is V=a^3

Where, a is the side.

The combined volume of the four pillars is 500 ft cubed.

The volume of each cube is given by,

V=\frac{500}{4}=125\ ft^3

Substitute in the formula to get the side,

125=a^3

a=\sqrt[3]{125}

a=5\ ft

We know, 1 feet = 12 inches

So, 5 feet =5\times 12=60 inches

Therefore, 60 inches long are the sides of the pillars.

6 0
3 years ago
I don't get it please help me and please clarify your explanations , thank you sm​
agasfer [191]

Answer:

a1=12

a6=12

a5=20

a3=20

a4=15

a2=15

as=94

Step-by-step explanation:

it is asking for each of the areas

I'm assuming As stands for areas summed

6 0
3 years ago
Read 2 more answers
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