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2 years ago

Find the cosine of ∠I.

Mathematics

1 answer:

denis-greek [22]2 years ago

7 0

Answer:

$\sqrt{\frac{3}{5} } .$

Step-by-step explanation:

1) cos(I)=IH/IG;

$2) \ IG=\sqrt{IH^2+GH^2} =10;$

$3) \ cos(I)=\frac{2\sqrt{15}}{10}=\frac{\sqrt{15}}{5}=\sqrt{\frac{3}{5}}.$

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A model of a rectangular patio at a landscaping business will be enlarged by a scale factor of 2 when it is installed in a custo

VARVARA [1.3K]

Answer:

C) The area of the landscape model is A = 40 sq ft.

Step-by-step explanation:

The original dimensions of the rectangular patio model is

Length = L

Width = W

Area of the patio model = LENGTH x WIDTH = L x W

⇒ A = L W ............. (1)

Now, the new area A" is enlarged by a factor of 2

⇒ The new Length = L" = (2 L)

The new Width = W" = (2 W)

So, AREA" = L" x W" = (2 L) x (2 W) = 4 (L W)

⇒ A " = 4 (L W)

But, L W = A .. from (1)

⇒ A" = 4 A

But, the area of the new enlarged patio is 160 square feet.

⇒ 160 sq ft = 4 x A

or, A = 160 / 4 =40 sq ft

⇒ A = 40 sq ft.

Hence, the area of the landscape model is A = 40 sq ft.

5 0

3 years ago

Read 2 more answers

54 is the sum of 11 and raj's score

Leviafan [203]

Answer:

54 is the sum of 11 and Raj's age. Use variable "r" to represent Raj's age

7 0

3 years ago

In March, April, and June it rained 2 inches. In February, May, and September it rained 1 inch. In August and October, it rained

koban [17]

Answer:

Step-by-step explanation:

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4 0

3 years ago

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If it doesn't give me the perimeter, how do i find x from this? thank you!

Mariulka [41]

The way the angles are labeled tell you that they are all congruent. The two triangles you see here also share the side that joins them. Then by the angle-side-angle postulate, the two triangles are congruent, so x + 23 = 13, or x = -10.

6 0

2 years ago

If the point (a,3) lies on the graph of the equation 5x + y = 8 then a =?

Contact [7]

Answer:

a = 1

Step-by-step explanation:

Given the point (a, 3) is on the line: 5x + y = 8.

Any point on the line satisfies the equation.

So, (a, 3) should satisfy the equation 5x + y = 8

Substituting x = a and y = 3, we get:

5(a) + 3 = 8

$\implies 5a = 5$

⇒ a = 1

Therefore, (1, 3) is the point on the line.

3 0

3 years ago