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tankabanditka [31]
2 years ago
6

In the diagram, AB=18. find AC and BC

Mathematics
1 answer:
LuckyWell [14K]2 years ago
3 0

Answer:

b

Step-by-step explanation:

In a 30-60-90 right triangle, the hypotenuse is twice the length of the short leg.

The hypotenuse is AB and is 18.

The short leg is BC and is 9.

The only choice with BC = 9 is b.

Answer: b

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Find the first, fourth, and tenth terms of the arithmetic sequence described by the given rule
Sergeeva-Olga [200]

Answer:

First term: 5

Fourth term: 5 1/2

Tenth term: 6 1/2

Step-by-step explanation:

Let's find the first, fourth and tenth terms of the arithmetic sequence described by the given rule:

A(n) = 5 + (n-1) (1/6)

First term:

A(1) = 5 + (1-1) (1/6)

A(1) = 5 + (0) (1/6)

A(1) = 5

Fourth term:

A(4) = 5 + (4-1) (1/6)

A(4) = 5 + (3) (1/6)

A(4) = 5 + 3/6 = 5 3/6 = 5 1/2 (simplifying)

Tenth term:

A(10) = 5 + (10-1) (1/6)

A(10) = 5 + (9) (1/6)

A (10) = 5 + 9/6 = 6 3/6 = 6 1/2 (simplifying)

5 0
3 years ago
115 is what percent of 200?
Valentin [98]
57.5 is the answer. Because think of 200 as 100% and 15 out of a hundered is ______. Right.
4 0
3 years ago
A 100-meter-long christmas train needs 30 seconds to cross a 400-meter-long bridge. assuming the train goes at a steady speed, h
san4es73 [151]
Length of train : 100
length of bridge : 400
distance covered by the train to cross the bridge : (100 + 400) = 500
time taken by the train to cross : 30

speed = distance / time
speed = 500/30
speed = 16.67 meters per second <===
8 0
3 years ago
Eli is buying a townhouse that costs $276,650. He has $28,000 in savings and earns $4,475 a month. Eli would like to spend no mo
lutik1710 [3]

Answer:

<em><u>The answer is</u></em>: <u>a. 30 year FHA, 3.5% down at a fixed rate of 6.5%.</u>

<u />

Step-by-step explanation:

If Eli wants to pay as little as possible, and we start with a 30-year mortgage, among the percentages that must be paid, <u>the lowest is 3.5%</u>, in terms of the fixed rate, <u>the lowest is 5%</u>, but if we see the amount of <u>30 years, it is 10%</u>, so although the fixed rate of <u>6.5% is higher than that of 5%, the payment is only made once</u>, and the difference is not so much compared to 10% for 30 years.

<em><u>The answer is</u></em>: <u>a. 30 year FHA, 3.5% down at a fixed rate of 6.5%.</u>

7 0
3 years ago
Read 2 more answers
Colton earns $35 per lawn he mows. In kne day he mows four lawns and he works five days a week for 20 weeks a year. His expenses
yanalaym [24]

Answer:

1) Consider that he makes $1189 every two weeks engaged with work

2) An estimate of the opportunity cost of going on the fishing trip is $1450 in two weeks

3). If he decides to buy the truck, he has to work for about 7 weeks before going on the fishing trip

Step-by-step explanation:

From the given data

Total revenue from lawn mowing per year = 35 × 4× 5×20 = $1400

Similarly total operating costs = $2110

Total profit per annum = $11890

However total revenue per every 2 weeks = $1189

To buy the truck, sell his and go on the fishing trip it will cost = 5200-1500+250 =$3950 hence he has to work for about 6.64 or approximately 7 weeks before going on the fishing trip

2) Opportunity cost will factor in the cost of having someone work for him while away

The cost is = $250 + $120/day

Hence in two weeks it will cost him $1450

3) He has to work for about 7 weeks to be able to afford the truck

7 0
3 years ago
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