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3 years ago

Two angles are supplementary. one angle is 60° more than twice the other. find the angles

1 answer:

3 0

Let the "other" angle be x. Then we can set up the equation: 2x + 60 + x = 180, because supplementary means that the angles add up to 180 degrees.
We get:
3x + 60 = 180
3x = 120
x = 40.
2(40) + 60 = 80 + 60 = 140.
So one angle is 140 degrees and the other angle is 40 degrees.
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Hope this helps!
==jding713==

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A composite figure is formed by combining a square and a triangle. Its total area is 32.5ft sqaured. The area of the triangle is

NeTakaya

Answer:

The length of each side of square is 5ft.

Step-by-step explanation:

Given:

A composite figure is formed by combining a square and a triangle. Its total area is 32.5ft squared.

The area of the triangle is 7.5ft squared.

Now, to find the length of each side of square.

Now, we need to get the area of the square first:

Area of combined figure - area of triangle = area of square.

32.5 ft squared - 7.5 ft squared = 25 ft squared.

So, area of square = 25 ft squared.

Now, by putting the formula for getting the length of each side:

Let the side = a.

Area of square = 25 ft squared

Area of square = a²

$25 =a^{2}$

Using square root both sides we get:

$5=a$

So, the side = 5 ft.

Therefore, the length of each side of square is 5ft.

3 0

3 years ago

Calculate the total surface area of a pipe with inner surface area 1508.5 square cm, outer surface area 2514.2 square cm, and in

algol [13]

Answer:

The total surface area of the pipe is 4123.31 cm²

Step-by-step explanation:

Total surface area (TSA) of a pipe is calculated as;

Outer area of the pipe + Inner area of the pipe + cross section of the two ends

TSA = 2πRL + 2πrL + 2π(R² - r²)

TSA = 2π(RL + rL + R² - r²)

where;

R is the outer radius

r is the inner radius

L is length of the pipe

Determine the length of the pipe

Outer surface area of the pipe is calculated as;

outer surface of the pipe = 2πRL

2514.2 = 2πRL

2514.2 = (2π x 5) L

2514.2 = 31.42 L

L = 2514.2 / 31.42

L = 80.02 cm

Finally, determine the total surface area of the pipe

TSA = 2π(RL + rL + R² - r²)

TSA = 2π(5x80.02 + 3x80.02 + 5² - 3²)

TSA = 2π(400.1 + 240.06 + 16)

TSA = 2π(656.16)

TSA = 4123.31 cm²

Therefore, the total surface area of the pipe is 4123.31 cm²

8 0

4 years ago

Do I have this one correct

nikklg [1K]

Answer:

Option B is correct

Step-by-step explanation:

Given is a cos funciton.

Period = 3

Max = 20 and minimum =0

Hence centre line is y = 1/2 (max+min)

i.e. y =10 is the central line

Let the funciton be of the form

y = a cos (bx+C)+d

We got d = 10...i

Period =3

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Since reflection over x axis, sign of a =negative

a=-10

Since no horizontal shift, c=0 ... iv

Put to gether the function is

$y=-10cos\frac{2\pi x}{3} +10$

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3 years ago

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Iteru [2.4K]

Answer:

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Step-by-step explanation:

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then do 390+516=906

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4 years ago

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Answer:

Step-by-step explanation:

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