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Vinvika [58]
3 years ago
10

A figure is shown with the given dimensions. What is the area of the composite figure?

Mathematics
1 answer:
inessss [21]3 years ago
7 0

Answer:

24

Step-by-step explanation:

Split the shape into 2 so you get a triangle and a rectangle.

Find area of triangle:

1/2 x a x b = 1/2 x 3 x 4

= 6 square feet

Find area of rectangle:

b x h = 6 x 3

= 18

Add both together

18 + 6 = 24

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The burning time of a very large candle is normally distributed with mean of 2500 hours and standard deviation of 20 hours. Find
dezoksy [38]

Answer: C.-1.5

Step-by-step explanation:

Given: The burning time of a very large candle is normally distributed with mean(\mu) of 2500 hours and standard deviation(\sigma) of 20 hours.

Let X be a random variable that represent the burning time of a very large candle.

Formula: Z=\dfrac{X-\mu}{\sigma}

For X = 2470

Z=\dfrac{2470-2500}{20}\\\\\Rightarrow\ Z=\dfrac{-30}{20}\\\\\Rightarrow\ Z=\dfrac{-3}{2}\\\\\Rightarrow\ Z=-1.5

So, the z-score they corresponds to a lifespan of 2470 hours. =-1.5

Hence, the correct option is C.-1.5.

7 0
2 years ago
Find the missing value 8- = -5​
podryga [215]

Answer:

x = 13

Step-by-step explanation:

call the missing number x

8 - x = - 5                        Subtract 8 from both sides

8-8 - x = -5-8                  Combine

-x = - 13                           Multiply by -1

x = 13

6 0
3 years ago
Question 1
vivado [14]

Answer:

For Lin's answer

Step-by-step explanation:

When you have a triangle, you can flip it along a side and join that side with the original triangle, so in this case the triangle has been flipped along the longest side and that longest side is now common in both triangles. Now since these are the same triangle the area remains the same.

Now the two triangles form a quadrilateral, which we can prove is a parallelogram by finding out that the opposite sides of the parallelogram are equal since the two triangles are the same(congruent), and they are also parallel as the alternate interior angles of quadrilateral are the same. So the quadrilaral is a paralllelogram, therefore the area of a parallelogram is bh which id 7 * 4 = 7*2=28 sq units.

Since we already established that the triangles in the parallelogram are the same, therefore their areas are also the same, and that the area of the parallelogram is 28 sq units, we can say that A(Q)+A(Q)=28 sq units, therefore 2A(Q)=28 sq units, therefore A(Q)=14 sq units, where A(Q), is the area of triangle Q.

7 0
2 years ago
Read 2 more answers
A candy store sells 7 packs of bubble gum for $29.33. How much would it cost to buy 3 packs?
alexira [117]

Hi there,

Recall how 7 packs for gum sell for $29.33.

Before we can calculate how much it would cost to sell 3 packs of gum, we must calculate how much it would first cost to sell 1 pack of gum.

The cost of 1 pack of gum is the current total cost divided by the total amount of gum packs you receive at that price.

In this case, the total cost is $29.33, and we receive 7 gum packs at that price.

Therefore, the cost of 1 pack of gum is \frac{29.33}{7}, which equates to $4.19.

We now know that each pack of gum costs $4.19.

Hence, 3 packs of gum would cost three times that price.

4.19 * 3 = 12.57

The cost of 3 packs of gum is $12.57.

Hope that helps!

5 0
3 years ago
Read 2 more answers
what is 1/8 times 20, what is 4/5 times 3/8, what is 1 1/8 times 1/9, what is 3/4 times 1/3 times 2/5, all must be simplified pl
bezimeni [28]
I hope this helps you


1/8.20=2,5

4/5.3/8=12/40=0,3

1 1/8=9/8 9/8.1/9=1/8=0,125

3/4.1/3.2/5=1/10=0,1
4 0
3 years ago
Read 2 more answers
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