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Citrus2011 [14]
2 years ago
14

What is the surface area of the rectangular prism? 480mm 427mm 213.5mm 255mm

Mathematics
1 answer:
elena-14-01-66 [18.8K]2 years ago
7 0

The surface area of the rectangular prism is 427 mm². The correct option is the second option 427 mm²

<h3>Calculating surface area</h3>

From the question, we are to calculate the surface area of the rectangular prism

Surface area of a rectangular prism can be calculated by using the formula,

Surface area = 2(lw + lh + wh)

Where l is the length

w is the width

and h is the height

In the given diagram,

l = 21.5 mm

w = 4 mm

h = 5 mm

Putting the parameters into the equation, we get

Surface area = 2(21.5×4 + 21.5×5 + 4×5)

Surface area = 2(86 + 107.5 + 20)

Surface area = 2 × 213.5

Surface area = 427 mm²

Hence, the surface area of the rectangular prism is 427 mm². The correct option is the second option 427 mm²

Learn more on Surface area here: brainly.com/question/1310421

#SPJ1

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Answer:

81

Step-by-step explanation:

12(6) + 9

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3 years ago
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It is estimated that 88% of senior citizens suffer from sleep disorders and 7% suffer from anxiety. Moreover, 5% of senior citiz
Alla [95]

Answer:

a) 0.71

b) 0.06

Step-by-step explanation:

We solve using Baye's Theorem

It is estimated that 88% of senior citizens suffer from sleep disorders and 7% suffer from anxiety. Moreover, 5% of senior citizens suffer from both sleep disorders and anxiety.

We have Two events

A and B

Events A = 88% of senior citizens suffer from sleep disorders

P(A) = 0.88

Event B = 7% suffer from anxiety

P(B) = 0.07

Moreover, 5% of senior citizens suffer from both sleep disorders and anxiety.

P(A and B) = 0.05

a)Given that a senior citizen suffers from anxiety, what is the probability that he or she also suffers from a sleep disorder? Round your answer to the nearest hundredth.

This is calculated as:

P(A and B)/P(B)

= 0.05/0.07

= 0.7142857143

Approximately = 0.71

B) Find the probability that a senior citizen suffers from anxiety, given that he or she has a sleep disorder. Round your answer to the nearest hundredth.

This is calculated as:

P(A and B)/P(A)

= 0.05/0.88

= 0.0568181818

Approximately = 0.06

7 0
2 years ago
Need Help ASAP). □ ABC is transformed to □ DBE. I posted a picture of the design and questions A, B, and question C. ( Will Mark
salantis [7]

Answer:

A)A reflection can be used to create DBE

B)The Angles are congruent, as the transformation was rigid, which preserves angle measure and side length.

C)All the angles are corresponding to the second figure as well as the sides. (name all the sides and angles that are corresponding)

Ex: ABC=DBE

Hope this helps!

P.S. Stay Safe!

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3 0
3 years ago
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12 decreased by 8 times a number is 36
LekaFEV [45]
8x-12=36

Let's solve your equation step-by-step.

<span><span><span>8x</span>−12</span>=36

</span>Step 1: Add 12 to both sides.

<span><span><span><span>8x</span>−12</span>+12</span>=<span>36+12

</span></span><span><span>8x</span>=48

</span>Step 2: Divide both sides by 8.

<span><span><span>8x/</span>8</span>=<span>48/8

</span></span><span>x=6

</span>Answer: x=6
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3 years ago
Find the distance of the following points from the x axis: P(3,0) , Q(0,-3) , R(12,-4) , S(-4,-3)
OverLord2011 [107]

Answer:

Distance of point P(3,0) from x axis is zero as this point lies on x axis.

distance of point Q is 3.

Distance of point R is 4.

Distance of point S is 3.

Step-by-step explanation:

Point P already lies on x axis as its y coordinate is zero so its distance from x axis is zero

distance of points Q , R and S is the absolute value of their y coordinates that is 3 , 4 and 3 respectively.

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