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3 years ago

What is the surface area of the figure shown below?

Mathematics

1 answer:

Novosadov [1.4K]3 years ago

7 0

We know that
surface area of the figure=surface area rectangular prism+surface area triangular prism

surface area rectangular prism=2*[12*6]+2*[16*6]+[16*12]---> 528 ft²

surface area triangular prism=2*[12*8/2]+2*[16*10]----> 416 ft²

surface area of the figure=528+416-----> 944 ft²

the answer is
944 ft²

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{x + 4y = 13 {x – y = 3

NARA [144]

Answer:

x = 5 and value of y = 2

Step-by-step explanation:

using substitution method

let;

x + 4y = 13...................... equation 1

x - y = 3............................... equation 2

from equation 2

x - y = 3.................................... eqn 2

x = y + 3.......................................... equation 3

put x = y + 3 in equation 1

x + 4y = 13...................... equation 1

y + 3 + 4y = 13

5y = 13 - 3

5y = 10

divide both sides by 5

i.e

5y/5 = 10/5

y = 2

sustitue for y = 2 in equation 3

x = y + 3.......................................... equation 3

x = 2 + 3

x = 5

therefore the value of x = 5 and value of y = 2

to check if your answwer is correct slot in the value of x and y in any of the equation . e.g

from equation 3

x = y + 3.......................................... equation 3

5= 2 + 3

5 =5....................... proved

3 0

3 years ago

Complete the two-column proof.

Nimfa-mama [501]

The answer is B, hope this helped

7 0

2 years ago

Read 2 more answers

Which equation represents a line that intersects the line 2y − 4x = 3? A.-2y + 4x = 1 B. 3y − 6x = 6.5 C. y − 2x = 3 D. -2y − 4x

irga5000 [103]

Convert all the equations to slope-intercept form:
$2y-4x=3 \ \ \ |+4x \\
2y=4x+3 \ \ \ |\div 2 \\
y=2x+\frac{3}{2}$

$A. \\
-2y+4x=1 \ \ \ |-4x \\
-2y=-4x+1 \ \ \ |\div (-2) \\
y=2x-\frac{1}{2} \\ \\
B. \\
3y-6x=6.5 \ \ \ |+6x \\
3y=6x+6.5 \ \ \ |\div 3 \\
y=2x+\frac{13}{6}$

$C. \\
y-2x=3 \ \ \ |+2x \\
y=2x+3 \\ \\
D. \\ 
-2y-4x=3 \ \ \ |+4x \\
-2y=4x+3 \ \ \ |\div (-2) \\
y=-2x-\frac{3}{2}$

Lines A, B and C have the same slope as the line 2y-4x=3, so they are parallel and don't intersect it.
Line D has another slope, so it intersects the line 2y-4x=3.
The answer is D.

3 0

3 years ago

What equation do you get when you solve 3x-4y=24 for y

erica [24]

Hi there!

You get 3(x-8) all over 4.

Hope this helps !

5 0

3 years ago

Solve for x. A. 6 B. 8 C. 12 D. 18

marysya [2.9K]

$we \: get \\ \frac{24}{x} = \frac{36}{12} \\ \implies x \: = \frac{12 \times 24}{36} \\ \implies x = \frac{288}{36} \\ \implies \: x = 8 \\ hence \: x = 8$

8 0

3 years ago

Read 2 more answers