Evaluate the expression for the given value of each variable

How do you find surface area of a triangular prism ?

RSB [31]

The formula to find the surface area of a triangular prism is basically finding out the area of one of the faces of a traingle, which is:

<span> $(base)*(height)/2$

</span>So, basically you take the face of the triangle that your trying to find the surface area of and plug in your values for the base length and height, multiply them together, hen divide that product by 2 to find your surface area :)

Thank you for the question! I hope this helped! Have an amazing day!! :D

5 0

3 years ago

5 watermelons 6 cantaloupes cost $54. 4 watermelons and 8 cantaloupes $56. how much is a cantaloupe

GREYUIT [131]

Answer:

A cantaloupe costs $4

Step-by-step explanation:

Watermelons = W

Cantaloupes = C

Write given statements as equations

5W + 6C = 54

4W + 8C = 56

Simplify the second equation

4W + 8C = 56

Subtract 8C from both sides of the equation

4W = 56 - 8C

Divide both sides of the equation by 4

W = 14 - 2C

Substitute into second equation

5W + 6C = 54

5(14 - 2C) + 6C = 54

Multiply 5(14 - 2C)

70 - 10C + 6C = 54

Add -10C + 6C

70 - 4C = 54

Add 4C to both sides of the equation

70 = 54 + 4C

Subtract 54 from both sides of the equation

16 = 4C

Divide both sides of the equation by 4

C = 4

A cantaloupe costs $4

5W + 6(4) = 54

Multiply 6(4)

5W + 24 = 54

Subtract 24 from both sides of the equation

5W = 30

Divide both sides of the equation by 5

W = 6

A cantaloupe costs $4

A watermelon costs $6

Hope this helps :)

8 0

4 years ago

Identify the oblique asymptote of f(x) = quantity 2 x squared minus 5 x plus 2 over quantity x minus 3.

jarptica [38.1K]

$\bf f(x)=\cfrac{2x^2-5x+2}{x-3}\impliedby 
\begin{array}{llll}
\textit{now, we can do a quick synthetic}\\
\textit{division, since the divisor is}\\
x-3
\end{array}\\\\
-------------------------------\\\\
\begin{array}{r|rrrrl}
3&&2&-5&2\\
&&&6&3\\
--&&--&--&--\\
&&2&1&\boxed{5}&\leftarrow remainder
\end{array}\\\\
-------------------------------\\\\
\textit{so the quotient is }2x+1\impliedby \textit{oblique asymptote}\implies y=2x+1$

4 0

3 years ago

Read 2 more answers

00:36:46

miskamm [114]

Question:

In some code, letters a, b, c, d and e represent numbers 2, 4, 5, 6 and 10. We just do not know which letter represents which number. Consider the following relationships:

a + c = e,

b – d = d and

e + a = b

Which of the following statements is true?

(A) b = 4, d = 2

(B) a = 4, e = 6

(C) b = 6, e = 2

(D) a = 4, c = 6

Answer:

(B) a = 4, e = 6 is the correct answer.

Explanation:

(A) b = 4, d = 2

a + c = e => a + c = e

b – d = d => 4 - 2 = 2

e + a = b => e + a = 4

We are not able to find out what will be at place of a , c , e by which all other relationships are not getting satisfied. And if we apply numbers by hit and trial they are not getting satisfied.

(B) a = 4, e = 6

a + c = e => 4 + c = 6 => 4 + 2 = 6

b – d = d => b - d = d => 10 - 5 = 5

e + a = b => 6 + 4 = 10

We were able to find all a , b , c , d , e and it satisfies all relationships given.

(C) b = 6, e = 2

a + c = e => a + c = 2

b – d = d => 6 - d = d

e + a = b => e + a = 6

We are not able to find out what will be at place of a , c , d by which all other relationships are not getting satisfied. And if we apply numbers by hit and trial they are not getting satisfied.

(D) a = 4, c = 6

a + c = e => 4 + 6 = 10

b – d = d => b - d = d

e + a = b => e + 4 = b => 10 + 4 = 14(this is not from the numbers as given in question so b can't be equal to 14)

We got stuck at the value of b which was 14 and not given in question so, we can leave this option in between as it is not satisfying the relationships.

Therefore, (B) a = 4, e = 6 is the correct answer.

4 0

3 years ago

Find the angle of depression from point A to point C.<br><br> Angle of depression= ?

san4es73 [151]

Check the picture below.

3 0

4 years ago