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3 years ago

9.

Mathematics

1 answer:

Hitman42 [59]3 years ago

8 0

the answer is 4.5 ft

Step-by-step explanation:

Step-by-step explanation:

Given that the two fugures in the question above are similar, it means they have the same shape, even though they are if different sizes, the ratio of their corresponding sides are proportional. Thus,

18/x = 8/2

Let's solve for x as required.

We have,

18/x = 8/2

=>Cross multiply:

18 × 2 = 8 × x

36 = 8x

=>Divide both sides by 8

36/8 = x

4.5 = x

x = 4.5 ft

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Given that you have 2 parallel lines cut by a transversal, what is the measure of angle 2?

Archy [21]

Step-by-step explanation:

angle 2 = 2x + 10 deg (corresponding angles) or 180 - 4x + 46 deg (angles on a straight line are supplementary)

therefore,

2x + 10 = 226 - 4x

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hence,

angle 2 = 2(36) + 10 = 82deg

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4 0

3 years ago

If we get the 100 from number 1 each year for ten years and invest each payment in an account that earns 8% how much will be the

blsea [12.9K]

Answer:

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Step-by-step explanation:

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For P = $100, r = 0.08 and n = 10 years:

$FV = 100[\frac{(1+0.08)^{10}-1}{0.08}]\\FV=\$1,448.66$

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3 years ago

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Dahasolnce [82]

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2 years ago

in the following ordinary annuity interest is compounded with each payment and the payment is made at the end of the compounding

stealth61 [152]

Answer: $59313.58

Step-by-step explanation:

We know that formula we use to find the accumulated amount of the annuity ( ordinary annuity interest is compounded ) is given by :-

$FV=A(\frac{(1+\frac{r}{m})^{mt})-1}{\frac{r}{m}})$ , where A is the annuity payment deposit, r is annual interest rate , t is time in years and n is number of periods.

Given : Annuity payment deposit :A= $4500

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No. of periods : m= 1 [∵ its annual]

Time : t= 10 years

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3 years ago

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77julia77 [94]

Answer:

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2 years ago