Asap i need with both these questions

Volume: 85.2 meters^3; Surface area: 123 meters^2

Missing angle: 39 degrees

Step-by-step explanation:

The volume of a rectangular prism, which is what this figure is, is given by the formula: l * w * h (length * width * height).

These values are all given in the figure; for length we have 7.1 m, for width we are given 4 m, and for height we are given 3 m.

Multiply these given values together.

7.1 * 4 * 3 = 85.2

The volume of the figure is 85.2 meters^3.

The surface area of a rectangular prism is given by the formula: 2(l * w) + 2(l * h) + 2(w * h). In other words, 2 times length * width, 2 times length * height, and 2 times width times height.

The length of the figure is 7.1 m, the height is 3 m, and the width is 4 m. Substitute these into the formula.

2(7.1 * 4) + 2(7.1 * 3) + 2(4 * 3)

Evaluate and simplify.

123.4 meters^2

A triangle's interior angle measurements add up to 180 degrees, and you are given two out of the three angles.

To find the measure of the third angle, you would add up the known angles and subtract these from 180 degrees to find the measure of the unknown angle.

The equation would look like:

x + 90 + 51 = 180

Combine like terms.

x + 141 = 180

Subtract 141 from both sides of the equation.

x = 39 degrees

The missing angle has a measure equal to 39 degrees.

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1

image for option 4

step-by-step explanation:

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