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Lilit [14]
3 years ago
5

Find the Surface area for the prisms.

Mathematics
1 answer:
Anika [276]3 years ago
7 0

Answer:

8 cm

Step-by-step explanation:

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Use distribute property and simplify<br> Help me please​
stellarik [79]

Answer:

104

155

180

Step-by-step explanation:

an easy way is to solve what is in the parenthesis then multiply by the outside number

but if you need to use the distributive property:

1. 4 x (20 - -6)

(4 x 20) - (4 x -6) = 80 - -24 = 80 + 24 = 104

2. -5 x (24 - -7)

(-5 x 24) - (-5 x -7) = -120 - 35 = 155

3. 12 x (-30 + 45)

(12 x -30) + (12 x 45) = -360 + 540 = 180

5 0
3 years ago
Read 2 more answers
What is the cube root of 4096
Readme [11.4K]
The cube root is 16. Often times, teachers just let you use calculators on these questions.
7 0
3 years ago
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A particle moves with velocity vector
asambeis [7]

Answer:

\vec{s(t)}=\frac{1}{2}t^2\hat{i}-(2t+1)\hat{j}+(\frac{1}{3}t^3+1)\hat{k}

Step-by-step explanation:

We are given that velocity vector of a particle

\vec{v(t)}=t\hat{i}-2\hat{j}+t^2\hat{k}

When t=0 then the particle is at the point (0,-1,1).

We have to find the position of particle  at time t.

We know that

Velocity =\frac{Displacement }{time}=\frac{ds}{dt}

Therefore,\vec{v}=\frac{\vec{ds}}{dt}

\int{ds}=\int (t\hat{i}-2\hat{j}+t^2\hat{k})dt

Integrate on both sides then we get

\vec{s(t)}=\frac{1}{2}t^2\hat{i}-2t\hat{j}+\frac{1}{3}t^3\hat{k}+C

\int x^n dx=\frac{x^{n+1}}{n+1}+C

Substitute the value of point at time t=0 then we get

C=-\hat{j}+\hat{k}

Substitute the value of C then we get

\vec{s(t)}=\frac{1}{2}t^2\hat{i}-2t\hat{j}+\frac{1}{3}t^3\hat{k}-\hat{j}+\hat{k}

Therefore, the position of particle at time t

\vec{s(t)}=\frac{1}{2}t^2\hat{i}-(2t+1)\hat{j}+(\frac{1}{3}t^3+1)\hat{k}

8 0
3 years ago
A student must have an average​ (the mean) on five tests that is greater than or equal to​ 80% but less than​ 90% to receive a f
Greeley [361]
<span>46 <= grade < 96 First, let's write the equation for the lower limit that the student must get for a B. (x + 92 + 82 + 88 + 92)/5 = 80 Multiply both sides by 5 giving x + 92 + 82 + 88 + 92 = 400 Subtract 92, 82, 88, 92 from both sides x = 400 - 92 - 82 - 88 - 92 = 46 So the student has to get 46 or higher on the test to make a B. Now let's compute the upper limit (x + 92 + 82 + 88 + 92)/5 < 90 Multiply both sides by 5 (x + 92 + 82 + 88 + 92) < 450 Subtract 92, 82, 88, 92 from both sides x < 450 - 92 - 82 - 88 - 92 ) = 96 So the student has to get a grade of less than 96 to get a B.</span>
8 0
3 years ago
The total budget for a landscaping project was $349.02, and the project called for 42 plants. What is the average cost per plant
nekit [7.7K]

Answer:

$8.31

Step-by-step explanation:

you have your budget of $349.02 that's for 42 trees you are deciding tour budget by 42 giving you $8.31 per tree.

4 0
3 years ago
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