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Hitman42 [59]
3 years ago
6

A triangle has two sides with the lengths 8m and 15 m. Which of the following lengths could represent the length of the third si

de? Choose all that apply. 1. 23m 2. 4m 3. 10m 4. 14m 5. 7m
Mathematics
1 answer:
sergey [27]3 years ago
8 0

Answer:

3. 10m

4. 14m

Step-by-step explanation:

Angle inequality rule: A triangle can only form if it's 2 shortest sides add up to have MORE length than it's longer side.

1. 23 m

2. 4m

3. 10m

4. 14m

5. 7m

1 doesn't follow the angle inequality rule.

2 doesn't follow the angle inequality rule.

3 can be the third side.

4 can be the third side

5 doesn't follow the angle inequality rule.

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PLEASE HELP the formula m=12,000+12,000rt/12t gives keri's monthly loan payment where t is the annual interest rate and t is the
tatiyna

Answer:

The answer is below

Step-by-step explanation:

The formula m = (12,000 + 12,000rt)/12t gives Keri's monthly loan payment, where r is the annual interest rate and t is the length of the loan, in years. Keri decides that she can afford, at most, a $275 monthly car payment. Give an example of an interest rate greater than 0% and a loan length that would result in a car payment Keri could afford. Provide support for your answer.

Answer: Let us assume an annual interest rate (r) = 10% = 0.1. The maximum monthly payment (m) Keri can afford is $275. i.e. m ≤ $275. Using the monthly loan payment formula, we can calculate a loan length that would result in a car payment Keri could afford.

m=\frac{12000+12000rt}{12t}\\ but\ m\leq275, \ and \ r=10\%=0.1\\275= \frac{12000+12000(0.1)t}{12t}\\275= \frac{12000}{12t} +\frac{12000(0.1)}{12t}\\275= \frac{1000}{t} + 100\\275-100= \frac{1000}{t} \\175= \frac{1000}{t} \\175t = 1000\\t= \frac{1000}{175}\\ t=5.72\ years

The loan must be at least for 5.72 years for an annual interest rate (r) of 10%

3 0
3 years ago
Q.1 What value of p will make this equation true?
gtnhenbr [62]

Answer:

1. \: p = 10 \\ 2. \: x = 4

4 0
2 years ago
Karrine hit 4 more home runs than half the number of home runs Lu hit. Together they hit 10 home runs. Let x represent the numbe
Andreas93 [3]

Answer:

The number of home runs that Lu hit is 4 and the number of home runs that Karrine hit is 6

Step-by-step explanation:

Let

x ----> represent the number of home runs Lu hit

y ---> represent the number of home runs Karrine hit

we know that

Together they hit 10 home runs

so

x+y=10 ----> equation A

Karrine hit 4 more home runs than half the number of home runs Lu hit

so

y=\frac{1}{2}x+4 ---> equation B

substitute equation B in equation A

x+\frac{1}{2}x+4=10

solve for x

\frac{3}{2}x=10-4

\frac{3}{2}x=6\\x=4

Find the value of y

y=\frac{1}{2}(4)+4=6

therefore

The number of home runs that Lu hit is 4 and the number of home runs that Karrine hit is 6

5 0
2 years ago
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garri49 [273]
40 right? Because base times height divided by two is area of a triangle
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3 years ago
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(9x + 25) (13x - 19) (17y + 5)
quester [9]

Answer:

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(9x + 25) x (13x - 19) x (17y + 5)

(117x squared - 171x + 325x - 475) x (17y + 5)

(117x squared + 154x - 475) x (17y + 5)

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