All categories

3 years ago

What is the surface area of the triangular prism

Mathematics

1 answer:

Harrizon [31]3 years ago

3 0

Answer:

$surface \: a = 9 \times 5 \\ = 45ft \times 2 \\ = {90}^{2} ft\\ surface \: b = \frac{1}{2} bh \\ = \frac{1}{2 } \times 6 \times 4 \\ = 3 \times 4 \\ = 12 \times 2 \\ = {144}^{2} ft \\ = 90 + 144 \\ = {234}^{2} ft$

You might be interested in

If you flip a fair coin 7 times, what is the probability that you will get exactly 4 tails?

andre [41]

Probability that you will get exactly 4 tails, if you flip a fair coin 7 times is: $\frac{35}{128}$

Step-by-step explanation:

We need to find the probability that you will get exactly 4 tails, if you flip a fair coin 7 times.

This is the combination question.

The total combinations will be: 2^7=128

Now, finding number of ways we can get exactly 4 tiles:

We will use the formula:

$^nC_k=\frac{n!}{k!(n-k)!}$

in our given question, n= 7, k= 4

Putting values:

$^nC_k=\frac{n!}{k!(n-k)!}\\^7C_4=\frac{7!}{4!*3!}\\ ^7C_4=\frac{7*6*5*4!}{4!*3!}\\ ^7C_4=\frac{7*6*5}{6}\\ ^7C_4=35$

So, Probability that you will get exactly 4 tails, if you flip a fair coin 7 times is: $\frac{35}{128}$

Keywords: Probability

Learn more about Probability at:

#learnwithBrainly

7 0

3 years ago

Find y, at and tu I need help please help

lesantik [10]

Answer:

there is no picture... but i will try my best to help you if you post picture in another question

8 0

3 years ago

Read 2 more answers

Write the standard form of the equation of a line if the point on the line nearest to the origin is at (6, 8).

Alchen [17]

Answer:

$\large\boxed{y=\dfrac{4}{3}x}$

Step-by-step explanation:

The line passes through the origin has an equation y = mx

m - slope

The formula of a slope of a line passes through the origin

and a point (x, y):

$m=\dfrac{y}{x}$

We have the point (6, 8). Substitute:

$m=\dfrac{8}{6}=\dfrac{8:2}{6:2}=\dfrac{4}{3}$

Finally:

$y=\dfrac{4}{3}x$

4 0

3 years ago

Which constant could each equation be multiplied by to eliminate the x variable in this system of equations? 4x + 5y = 62 5x − 3

qwelly [4]

Answer:

Multiply equation $4x+5y=62$ by 5 and $5x-3y=22$ by 4

Step-by-step explanation:

Given:

Equations are $4x+5y=62,5x-3y=22$

To find: constant by which each equation should be multiplied to eliminate the variable $x$ in the given system of equations

Solution:

$4x+5y=62...(i)\\5x-3y=22...(ii)$

Multiply equation (i) by 5 and (ii) by 4 to get the following equations:

$20x+25y=310\\20x-12y=88$

On subtracting these equations, we get

$(20x+25y)-(20x-12y)=310-88\\\\13y=222$

So, the variable $x$ gets eliminated

7 0

3 years ago

Solve the formula for the indicated variable.<br> T(r+s)=rs, for r<br> (Simplify your answer.)

yaroslaw [1]

Answer:

$R = \frac{-TS}{(T-S)}$

Step-by-step explanation:

First, distribute all terms

$T(R+S) =RS\\TR + TS =RS$

Get all terms with R onto the same side

$TR + TS = RS\\TR - RS = -TS$

Factor out the R

$R(T-S)=-TS$

Divide by (T-S) to isolate R

$R = \frac{-TS}{(T-S)}$

5 0

3 years ago

Read 2 more answers