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Grace [21]
3 years ago
10

A student found the product of 6 x 10^5 and 5 x 10^6 to be 3 x 10^11. What is the error? What is the correct product? Complete t

he explanation.
The student ____.

A.divided instead of multiplied.

B.is orf by a power of 10.

C.rounded incorrectly.

The correct product is ______ x 10^11 or
____.​

Mathematics
1 answer:
Rainbow [258]3 years ago
3 0
The student is off by a power of 10

The answer is 3 x 10^12
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Solve each triangle using the information provided. If necessary, round to the<br> nearest tenth.
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Answer:

1) B = 66.5° c = 10.9

Step-by-step explanation:

I will do question one as an example. In general, for these questions you want to use the appropriate trigonometric ratios to solve for the variables and/or apply logic using rules regarding triangles. See attached image for all solving steps.

For side c, we can use Cosine of angle A for a ratio between 10 and c. When we write out the equation, we can solve for side c. So when we write it out, we get the equation:

cos23.5 = ¹⁰⁄c

c = ¹⁰⁄cos₂₃.₅

c = 10.9044 (make sure to round to the nearest tenth, which is one decimal place)

For angle B, since they have given two angles, you can solve for B since all angles of a triangle add up to 180 degrees.

So b = 180 - (90 + 23.5) = 180 - 113.5

b = 66.5

  • It is also possible to solve this using sine of angle B and solve it from there, but applying the theory this way is much simpler. (this is on the image if you're curious about it)

I hope this helps you with the other 3 questions.

4 0
3 years ago
The surface area of a rectangular prism is 208 cm2. Two of the dimensions are 2cm and 10cm. Find the measure of the other dimens
aliina [53]

Answer:

7 cm

Step-by-step explanation:

SA = 208 cm^2

SA= 2*a*b + 2*a*c + 2*b*c

where:

a= first dimension = 2 cm

b= second dimension = 10 cm

c= third dimension

so we have:

208= 2*2*10 + 2*2*c + 2*10*c

208= 40 + 4c + 20c

208-40= 24c

168=24c

c =168/24

c = 7cm = third dimension

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Step-by-step explanation:

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