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netineya [11]
3 years ago
11

A rectangular prisim has a base with an area of 200cm squared. The volume of the prism is 3,000cm cubed. What is the height of t

he prism?
Mathematics
1 answer:
Mars2501 [29]3 years ago
7 0

Answer:

Height = 15cm

Step-by-step explanation:

Given

Base\ Area = 200cm^2

Volume = 3000cm^3

Required

The height

Volume is calculated as:

Volume = Base\ Area * Height

Make Height the subject

Height = \frac{Volume}{Base\ Area}

This gives

Height = \frac{3000cm^3}{200cm^2}

Height = \frac{3000}{200}cm

Height = 15cm

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An angle is drawn in standard position passing through the unit circle at (0.643,0.766). The angle in standard position θ has a
Flura [38]
<h2>Hello!</h2>

The asnwer is: Cos50° ≈ 0.643

<h2>Why?</h2>

A unit circle is a cirgle with a radius equal of 1, knowing that,  also know the following:

The angle is drawn passing trough the unit circle at (0.643,0.766) it means that:

x=0.643\\y=0.766

So,

Cos50° ≈ 0.643

We can prove that by following the next steps:

- If it's a unit circle,here is a right triangle with hypotenuse of 1,

1^{2}=x^{2}+y^{2}

1^{2}=0.643^{2}+0.766^{2}

1^{2}=0.4134 +0.5867

1=1.0001=1

- We can determine the cosine of the angle by the following formula:

cos(\alpha)=\frac{x}{hypotenuse} \\cos(\alpha)^{-1}=cos(\frac{0.643}{1})^{-1} \\\alpha=49.98

Therefore,

Cos(α)=49.98°≈50°

Also, if there is a right triangle, according to the Pythagorean Thorem:

1^{2}=(Cos(\alpha))^{2}+(Sin(\alpha))^{2} \\Cos(50)=\sqrt{1-(Sin(50))^{2}}=0.6427

Hence,

Cos50° ≈ 0.643

Have a nice day!

3 0
3 years ago
Read 2 more answers
(All numbers can be reused) Using only 5 numbers to make a set that has a mean of 5, what’s the highest median this set can have
slega [8]

Answer:

Mean: Use any 5 numbers that make 25.

Median: 5

Step-by-step explanation:

For the mean you can use 2.5+2.5+2.5+7.5+10

I'm not sure about the median... If it's asking about the median for the set I used, it would be 2.5. If it's asking about the one gives, not including the zero would be 5.

4 0
3 years ago
Find the measure of angle A
Brut [27]

Answer:

-7

Step-by-step explanation:

  1. The sum of all angles in a triangle will be equal to 180.
  2. So we add x+46+x+71+77=180*
  3. 2x+194=180
  4. 2x= -14
  5. x=-7
5 0
3 years ago
Given quad abcd is a rhombus and m
s344n2d4d5 [400]

Answer:

???

Step-by-step explanation:

3 0
3 years ago
(MUST GIVE WORKING)
kifflom [539]
Ok so 4*5=20
so the area is 20meters
now lets convert 200cm to m
= 200/100=2m

now 20m/2=10

so therefore, the gardener would need 10 bags of grass seeds


hope this helped :)
6 0
3 years ago
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