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3 years ago

What is the total surface area of the solid?

Mathematics

2 answers:

mash [69]3 years ago

6 0

Answer:

Step-by-step explanation:

The formula for determining the total surface area of a rectangular prism is expressed as

Total surface area = 2lw + 2wh + 2lh

Where

l represents the length = 16

w represents the width = 11

h represents the height = 10

Total surface area = (2 × 16 × 11) + (2 × 11 × 10) + (2 × 16 × 10) = 352 + 220 + 320 = 892 mm²

The formula for determining the total surface area of a triangular prism is expressed as

Total surface area = ph + 2b

p represents perimeter of base

h represents height of prism

b represents base area

From the information given,

h = 16

b = 1/2base × height = 1/2 × 11 × 8 = 44 mm²

to determine the perimeter of the base, we would determine the slant height, l by applying Pythagoras theorem.

Hypotenuse² = opposite side² + adjacent side²

l² = 11² + 8² = 185

l = √185 = 13.6

p = 13.6 + 11 + 8 = 32.6 mm

Total surface area = (32.6 × 16) + (2 × 44) = 521.6 + 88 = 609.6 mm²

alexandr402 [8]3 years ago

3 0

Answer:

I thinks its B

Step-by-step explanation:

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3 years ago

Read 2 more answers

on square bcde if e is located at (4,-9) and d is located at (10,-5) find the perimeter of the square

mariarad [96]

Answer:

8 $\sqrt{13}$ units

Step-by-step explanation:

P = 4a

<u>We can find one side by distance formula:</u>

a = $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$
a = $\sqrt{(10 - 4)^2+(-5+9)^2} = \sqrt{36+16} = \sqrt{52} = 2\sqrt{13}$

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3 years ago

4. Solve the following system of equations for x.

Ber [7]

We are given the system of equations -:

$\large{ \begin{cases} 2x + 3y = - 14 \\ y = 6x + 22 \end{cases}}$

Since the second equation is y-isolated equation. It can be substituted as y = 6x+22 in the first equation.

$\large{2x + 3(6x + 22) = - 14}$

Expand 3 in the expression so we can combine like terms and isolate x-variable.

$\large{2x + 18x + 66 = - 14}$

Then combine like terms.

$\large{20x + 66 = - 14}$

Get rid of 66 from the left side by subtracting both sides by itself.

$\large{20x + 66 - 66 = - 14 - 66} \\ \large{20x = - 80}$

To finally isolate the variable, divide both sides by 20 so we can leave x only on the left side.

$\large{ \frac{20x}{20} = \frac{ - 80}{20} }$

Simplify to the simplest form.

$\large{x = - 4}$

Normally, we have to find the y-value too but since we only find x-value. The answer is x = -4.

Answer

x = -4

I hope this helps! If you have any questions or doubts regarding my answer, explanation or system of equations, feel free to ask!

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