Explain your answer Thank you so much ! Will give brainlst

Construct an accurate copy of triangle DEF. Check that EF = 4.6 cm.

garri49 [273]

Answer:

Angles on a straight line add up to 180°

Therefore, the interior angle D of the triangle = 180 - 150 = 30°

Draw a horizontal line of 8 cm - label DE.

Measure an angle of 30° from point D and draw a line.

Measure an angle of 90° from point E and draw a line.

These 2 lines will intersect at point F.

Erase the part of the lines that extend past the point of intersection.

7 0

2 years ago

Write the equation that passes through the following points: (5,0) and (−10,−5)

Vikentia [17]

Answer:

The answer is:

$y = \frac{1}{3} x - \frac{5}{3}$

Step-by-step explanation:

❃Incase you forgot what the linear equation formula is ☟

$y = mx + b$

❃Incase you also forgot, The is what the slope formula is ☟

$m = \frac{y_2 - y_1 }{x_2 - x_1}$

➊ First: We are going to be solving for the slope.

$m = \frac{ - 5 - 0}{ - 10 - 5} = \frac{ - 5}{ - 15} = \frac{1}{3}$

➋Second: We find the y-intercept.

$y = mx + b \\ 0 = \frac{1}{3} (5) + b \\ 0 = \frac{5}{3} + b \\ \frac{ - \frac{5}{3} = - \frac{5}{3 } \: \: \: \: \: \: \: \: \: \: \: \: }{ - \frac{5}{3} = b}$

➌Third: Plug in.

$y = \frac{1}{3} x - \frac{5}{3}$

4 0

2 years ago

One gallon of paint covers 400 square feet of surface area. A typical spherical water tower holds 66,840.28 cubic feet of water.

fredd [130]

Answer:

They would need approximately 20 gallons of paint for the water tower, so yes, 25 gallons would be enough.

Step-by-step explanation:

In order to find out if there is enough paint for the surface area of the sphere, you need to first find the radius of the object so you can determine the measure of the entire surface area. Since they give us the volume, we can use that to solve for the radius using the volume formula: V = πr³ or 66840.28 = πr³. Using inverse operations, you can first multiply both sides of the equation by the reciprocal of 4/3 or 3/4, then divide by π, this gives you 15,965 = r³. In order to find 'r', take the cube root of both sides: ∛15965 = ∛r³ or r ≈ 25.

Now that you know radius = 25, you can use the formula for surface area: SA = 4πr² or 4π(25)² ≈ 7850 ft². Since one gallon of paint covers 400 square feet, we can take our total and divide by 400 to find the number of gallons: 7850 ÷ 400 ≈ 19.6. In total, we would need 19.6 gallons of paint for the water tower, so if there are 25 gallons available, there is enough.

3 0

2 years ago

Solve for x: I need a answer with an explanation. Algebra 1

kirill115 [55]

Answer: x = -1

Step-by-step explanation:

You need to convert to the same base

$\frac{1}{16} = \frac{1}{2^{4} } = 2^{-4}$

So

$2^{-4} = 2^{-2x-6}$

For these values to be equal, the exponents have to be equal

-4 = -2x - 6

2 = -2x

x = -1

3 0

2 years ago

Can you answer this please?

Nat2105 [25]

Answer: 112.5 square units

Step-by-step explanation:

I think:

For the triangle:

1/2base(height) = 1/2(9)(7)= 31.5 sq. Units

For the small rectangle:

Length x width= 3 x 9 = 27 sq. Units

For the larger rectangle:

The length must be 16 - 7 - 3 = 6

So length x width = 6 x 9 = 54 sq units

Now add them together:

31.5 + 27 + 54 = 112.5 square units

7 0

3 years ago