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nevsk [136]
3 years ago
12

Charlie is evaluating the product of 0.09 and 0.05. He multiplies, and before placing the decimal, arrives at an answer of 45. A

fter considering the decimal placement, what is Charlie's final answer?
Mathematics
1 answer:
yKpoI14uk [10]3 years ago
4 0

Answer:

Result = 0.0045

Step-by-step explanation:

Given

0.09 * 0.05

Required

Determine the result

Following Charlie's steps:

0.09 is a 2 decimal placed digit

and

0.05 is a 2 decimal placed digit

So, the product is as follows:

9 --------- 2 decimal place

5 --------- 2 decimal place

------------------------------------------

45 --------- 4 decimal place

Shifting the decimals in 45 to 4 decimal places will give us: 0.0045

<em>Hence, the final answer is 0.0045</em>

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BabaBlast [244]

Answer:

17.7 cm^2

Step-by-step explanation:

Use trig to find the height of the triangle. Then the area is bh/2.

Extend side BC to the right until it is vertically below point A. Draw a segment from point A vertically down until it intersects the extension of side BC. Call the point of intersection D. <D is a right angle.

Use triangle ABD to find the height, AD, of triangle ABC.

For <B of 37 deg, AD is the opposite leg. AB is the hypotenuse. The trig ratio that relates the opposite lefg to the hypotenuse is the sine.

sin B = opp/hyp

sin 37 deg = AD/13.1

AD = 13.1 * sin 37 deg

AD = 7.9

AD is the height of triangle ABC. BC is the base. We can find the area of triangle ABC.

area = bh/2

area = (4.5 cm)(7.9 cm)/2

area = 17.7 cm^2

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4 years ago
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