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3 years ago

Using the photo above:what is the surface area of the rectangular prism

Mathematics

2 answers:

Mandarinka [93]3 years ago

6 0

Answer:

A=592

Step-by-step explanation:

allochka39001 [22]3 years ago

3 0

Answer:

440 cm²

Step-by-step explanation:

To find the surface area, you need to find the area of the two bases (triangles) and three rectangles.

Triangles

A = 1/2Bh

A = 1/2 (8)(7)

A = 1/2 (56)

A = 28

Since there are two of them, you would double that, so the total area of two triangles is 56cm²

Rectangles

A = Bh

A = (16)(8)

A = 128

Since the triangle bases are equilateral triangles, the three rectangles are all congruent. All you need to do is triple the area of one rectangle which gives you 384 cm²

Now just add those two together and you get 440cm²

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2 years ago

What is the length of segment TR?

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3 years ago

If f(x) = 7 + 4x and g (x) = StartFraction 1 Over 2 x EndFraction, what is the value of (StartFraction f Over g EndFraction) (5)

Degger [83]

Answer:

$\frac{f}{g}(5)$ = 270 ⇒ Last answer

Step-by-step explanation:

* If f(x) = 7 + 4x

* If g(x) = $\frac{1}{2x}$

* We want to find $\frac{f}{g}(5)$

- Lets find at first $\frac{f}{g}(x)$

∵ f(x) = 7 + 4x

∵ g(x) = $\frac{1}{2x}$

∴ $\frac{f}{g}(x)=\frac{7+4x}{\frac{1}{2x}}$

- Lets divide the numerator by the denominator

∵ The numerator is 7 + 4x

∵ The denominator is $\frac{1}{2x}$

∴ (7 + 4x) ÷ $\frac{1}{2x}$

- Lets reverse the division sign to multiplication sign and reciprocal

the fraction after the division sign

∴ (7 + 4x) × $\frac{2x}{1}$

∴ $\frac{f}{g}(x)$ = 2x(7 + 4x)

∴ $\frac{f}{g}(x)$ = 14x + 8x²

- Now substitute x by 5

∴ $\frac{f}{g}(5)$ = 14(5) + 8(5)² = 70 + 200 = 270

∴ $\frac{f}{g}(5)$ = 270

4 0

3 years ago

Read 2 more answers

X + 18 greater than or equals 26

cricket20 [7]

Answer:

x + 18 ≥ 26

Step-by-step explanation:

"greater than or equals": ≥

x + 18 ≥ 26 is your answer.

If you are trying to solve it so you isolate x, subtract 18 from both sides:

x + 18 (-18) ≥ 26 (-18)

x ≥ 26 - 18

x ≥ 8

x ≥ 8 is your answer.

5 0

2 years ago

Read 2 more answers

Write an equation in standard form of the line that contains the point (-2,4) and is parallel to (has the same slope as) the lin

CaHeK987 [17]

Answer:

The equation of the line in standard form is -8x + y = 20

Step-by-step explanation:

The standard form of the linear equation is Ax + By = C, where

A, B, and C are integers

The slope-intercept form of the linear equation is y = m x + b, where

m is the slope

b is the y-intercept

Parallel lines have equal slopes

∵ The line is parallel to the line y = 8x - 2

→ Compare it with the slope-intercept form above

∴ m = 8

∵ The parallel lines have the same slopes

∴ The slope of the line = 8

→ Substitute it in the slope-intercept form above

∴ y = 8x + b

∵ The line passes through the point (-2, 4)

∴ x = -2 and y = 4

→ Substitute x by -2 and y by 4 in the equation to find b

∵ 4 = 8(-2) + b

∴ 4 = -16 + b

→ Add 16 to both sides

∴ 4 + 16 = -16 + 16 + b

∴ 20 = b

→ Substitute the value of b in the equation above

∴ y = 8x + 20

→ Subtract both sides by 8x

∵ y - 8x = 8x - 8x + 20

∴ y - 8x = 20

→ Switch x and y

∴ -8x + y = 20

∴ The equation of the line in standard form is -8x + y = 20

8 0

3 years ago