What is the surface area of the triangular prism?

A triangular prism. The rectangular sides are 24 feet by 40 feet, 40 feet by 15 feet, and 40 feet by 15 feet. The triangular sides have a base of 24 feet and height of 9 feet.

Answer: 14x^2-93xy+60y^2 Hope that helps!

Step-by-step explanation:

1. Expand by distributing terms

(20x-12y)(x-4y)-(3x-4y)(2x+3y)

2. Use the Foil method:(a+b)(c+d)= ac+ad+bc+bd

20x^2-80xy-12yx+48y^2-(3x-4y)(2x+3y)

3. Use the Foil method : (a+b)(c+d)= ac+ad+bc+bd

20x^2-80xy-12yx+48y^2-(6x^2+9xy-8yx-12y^2)

4. Remove parentheses 20x^2-80xy-12yx+48y^2-6x^2-9xy+ 8yx+12y^2

5. Collect like terms (20x^2-6x^2)+(-80xy-12xy-9xy+8xy)+(48y^2+12y^2)

6. Simplify.

And your answer would be 14x^2-93xy+60y^2

the other asnwers dont make any sense. but just take my word for it.

Answer:for points

Step-by-step explanation:

Hsjsnsns.

Answer:

y = 23

Step-by-step explanation:

The angle vertically opposite 3y is congruent, then

(5y - 4) and 3y are same- side interior angles and sum to 180°, that is

5y - 4 + 3y = 180

8y - 4 = 180 ( add 4 to both sides )

8y = 184 ( divide both sides by 8 )

y = 23

Answer: add 4 to both sides

Step-by-step explanation:

Answer:

the answer is add 4 to both sides

Answer:

[tex]\frac{1}{70}[/tex]

Step-by-step explanation:

P(gold) = [tex]\frac{gold}{total}[/tex] = [tex]\frac{5}{350}[/tex] = [tex]\frac{1}{70}[/tex]

Answer:

tan A = 1.8

Step-by-step explanation:

tan A = 14/√60 = 1.8

Answer:

the third choice

Step-by-step explanation:

I haven't done those questions in a long time so I would double check. But I think its choice C because 0 has two functions, and I'm pretty sure that a number can only have 1 output, therefore C is not a function..

Answer:

Hello! answer: -6

4 ÷ 2 = 2 5 - 8 = -3

2(-3) = -6 therefore the answer is -6 hope that helps!

Answer:

I think it’s (4)

Step-by-step explanation:

Not sure but thats the only close answer I got

Answer: x = 46

Step-by-step explanation: 20 + (5 + 7) = x - 14, 20 + (12) = x - 14

Answer:

[tex]x=46[/tex]

Step-by-step explanation:

[tex]20 + (5+7)=x-14[/tex]

[tex]20+12=x-14[/tex]

[tex]32=x-14[/tex]

Take [tex]x-14[/tex] on the other side of the 'equal to' sign and 32 on the other side so that the variable remains on the right side

[tex]x-14=32\\[/tex]

[tex]x=32+14[/tex]

[tex]x=46[/tex]

Step-by-step explanation:

Answer:

56.52

Step-by-step explanation:

2x3.14 for circle x 9 height

Answer:

12pi

Step-by-step explanation:

Use the equation for volume:

pi(r^2)*h/3

pi*(2^2)*(9/3)

pi*4*3

12pi

Answer:

0.26

Step-by-step explanation:

A (x , y), radius of circle = 1

y/radius = y/1 = sin 15°

y = 0.26

Answer:

sin 165..........

Step-by-step explanation:

Answer:6

Step-by-step explanation:24 divided by 4 = 6 i am so sorry if its wrong

Answer:6

Step-by-step explanation: 24 divided by 4 = 6

Answer:

y = -x + 3

Step-by-step explanation:

Given:

Coordinates are (2, 1) and (6, -3)

y = mx + c

For Coordinate (2, 1)

1 = m(2) + c

1 = 2m + c ........... Eq1

For Coordinate (6, -3)

-3 = m(6) + c

-3 = 6m + c ........... Eq2

From Eq2 - Eq1

6m - 2m = -3 - 1

4m = - 4

m = -1

From eq 1

1 = 2m + c

1 = 2(-1) + c

1 = -2 + c

c = 2 + 1

c = 3

So,

y = mx + c

y = (-1)(x) + 3

y = -x + 3

Answer: 3/8

Step-by-step explanation:

It’s the answer :>

Answer:

c. 3/8

Step-by-step explanation:

3/4 * 1/2 = 3/8

i multiplied both probabilities

Answer:

Above picture is the solution for your question

Step-by-step explanation:

Use relation of trignometric ratio to get answer

Answer:

[tex]x = \frac{7}{ \sin(45 \degree) } \\ x = {7 \sqrt{2} } \\ [/tex]

[tex]y = \frac{7}{ \tan(45 \degree) } \\ y = 7[/tex]

[tex] {\boxed{ x = 7 \sqrt{2} }} \\ { \boxed{y = 7}}[/tex]

Answer:

5/12

Step-by-step explanation:

Given

Fraction of punch that is pineapple juice = 1/4

Fraction of punch that is orange = 1/6

Taking the sum;

fraction of the punch that is pineapple juice or orange juice = 1/4 + 1/6

fraction of the punch that is pineapple juice or orange juice = 3+2/12

fraction of the punch that is pineapple juice or orange juice = 5/12

Hence the fraction of the punch that is pineapple juice or orange juice is 5/12

what do u need help with?

Answer:

The second option is correct.

Step-by-step explanation:

This is because when multiplied, they all equal the same number.

3*6 = 18

6*3 = 18

9*2 = 18

18*1 = 18

Answer:

300in²

Step-by-step explanation:

l= 12

w= 9

h= 2

Substitute into the equation

S= 2(lw+ wh + hl)

S= 2( 12x9 + 9x2+ 12x2)

S= 2( 108+ 18 + 24)

S= 2( 150)

S= 300

Answer:

Inserting the squared symbol on your Android smartphone is relatively easy and straightforward. To insert the squared sign, just long-press the number 2 and it will insert the superscript ².

Step-by-step explanation:

Answer:51.5 degree

Step-by-step explanation: Since DEF is an isosceles triangle, angle D and F needs to be equal. So substract 77 from 180 and divide by 2.

Answer:

Step-by-step explanation:

let angle D and angle F be x

x+x+77=180 degree(being sum of the interior angle of a triangle)

2x=180-77

x=103/2

x=51.2 degree

both angle D and F are 51.2 degree because the base angles of an isosceles triangle are equal.

Answer:

[tex] x < - \frac{11}{2} [/tex]

Step-by-step explanation:

Distribute 2 through the parentheses:

[tex]8x + 2 < 3(2x - 3)[/tex]

Distribute 3 through the parentheses:

[tex]8x + 2 < 6x - 9[/tex]

Move the variable to the left-hand side and change its sign:

[tex]8x + 2 - 6x < - 9[/tex]

Move the constant to the right-hand side and change its sign:

[tex]8x - 6x < - 9 - 2[/tex]

Collect like terms:

[tex]2x < - 9 - 2[/tex]

Calculate the difference:

[tex]2x < - 11[/tex]

Divide both sides of the inequality by 2:

[tex]x < - \frac{11}{2} [/tex]

Answer:

the picture go to be 1/4 more smaler

Step-by-step explanation: