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2 years ago

Which would be the most appropriate way to estimate -6.1(0.22)? Check all that apply.

Mathematics

1 answer:

tatiyna2 years ago

5 0

Use rounding to get -6(0.2), and then multiply.

Use compatible numbers, such as -6(0.5), and then multiply.

Use front-end estimation to get -6(0.2), and then multiply.

Estimate -6.1(0.22)

Answer:

Use rounding to get -6(0.2), and then multiply.

Use front-end estimation to get -6(0.2), and then multiply.

Round the factors to the nearest whole number, and then multiply.

Step-by-step explanation:

Actual answer:

-6.1(0.22) = -1.342

Estimate answer:

-6 (.2) = 1.2

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Answer:

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Step-by-step explanation:

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3 years ago

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You are standing on a small fire tower 50 feet from a tree. You notice a squirrel in the tree. You measure the angle of depressi

irina [24]

Answer:

44.81 feet

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

In the right triangle ACD

Find the length side AC (height of the small fire tower)

$tan(52^o)=\frac{AC}{50}$ ---> by TOA (opposite side divided by the adjacent side)

Solve for AC

$AC=tan(52^o){50}$

$AC=64\ ft$

step 2

In the right triangle ABE

Find the length side AB

$tan(21^o)=\frac{AB}{50}$ ---> by TOA (opposite side divided by the adjacent side)

solve for AB

$AB=tan(21^o){50}$

$AB=19.19\ ft$

step 3

How many feet off the ground is the squirrel?

Subtract the length side segment AB from the length side segment AC

$64-19.19=44.81\ ft$

5 0

3 years ago

How can you estimate 1506 divided by 2so that it is close to the actual answer

likoan [24]

If you round 1506 down to 1500, then you can divide that by 2. rounding it down will make it easier.

4 0

3 years ago

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A circle has a diameter of 15 feet. What is the circumference of the circle? (Express your answer using π.)

insens350 [35]

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The formula for circumference is $\pi$ d, or Pi times diameter

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3 years ago

Ms. Wilson invested $34000 in two accounts, one yielding 8% interest and the other yielding 9%. If she received a total of

Digiron [165]

Answer:

Amount invested at 8 % rate = x = $ 15000

Amount invested at 9 % rate = 34000 - x = 34000 - 15000 = $ 19000

Step-by-step explanation:

Total Amount = $ 34000

Let amount invested at 8 % rate = x

Amount invested at 9 % rate = $ 34000 - x

Total interest = $ 2910

$2910 = \frac{x (8) (1)}{100} + \frac{(34000-x) (9) (1)}{100}$

291000 = 8 x + 306000 - 9 x

x = 306000 - 291000

x = 15000

So amount invested at 8 % rate = x = $ 15000

Amount invested at 9 % rate = 34000 - x = 34000 - 15000 = $ 19000

3 0

3 years ago