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Lyrx [107]
3 years ago
7

What is the length of the longest side of a triangle that has vertices at (-5,-1), (-5,5), and (3,-1)

Mathematics
1 answer:
Artyom0805 [142]3 years ago
7 0

Answer:

8.9

Step-by-step explanation:

Those vertices form a right triangle so you can use Pythagorean Theorem.

8 squared +4 squared= the squared root of 80

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You want to buy a car, and a local bank will lend you $30,000. The loan would be fully amortized over 6 years (72 months), and t
Georgia [21]

Answer:

<h2>- 56,667cents</h2><h2>- 6.17%</h2>

Step-by-step explanation:

Before we can determine the monthly loan paymnet, we must first calculate the total amount paid at the end of 6years.

Amount = Principal + Interest

Given Principal = $30,000

Interest = Principal * rate * time/100

Interest = $30,000*6*6/100

Interest =  $10,800

Amount =  $30,000+ $10,800

Amount =  $40,800

If amount paid after 6years is $40,800, my monthly loan payment = $40,800/72 ≈ $566.67 to nearest dollar.

since $1 - 100cents

$566.67 = 100 * 566.67

$567 = 56,667cents

Monthly loan payment to nearest cent will be  56,667cents

EFF = (1 + r /n)^n - 1

r is the rate and n is the number of period per year which is 12months

%EFF = EAR = (1 + 0.06 /12)^ 12 - 1

%EFF = 1.005^12

%EFF = 1.061678 - 1

%EFF = 0.061678

%EFF = 6.17% to 2dp

6 0
3 years ago
How to solve this Algebra question?
PIT_PIT [208]
  • Slope formula: \frac{y_2-y_1}{x_2-x_1}

Firstly, let's set up our equation. Place the two coordinates in the slope formula and have it equal 8: \frac{3k-4-k}{5-(-2)}=8

Next, combine like terms: \frac{2k-4}{7}=8

Next, multiply both sides by 7: 2k-4=56

Next, add 4 onto both sides of the equation: 2k=60

Lastly, divide both sides by 2 and <u>your answer will be k=30</u>

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What is the volume of this rectangular prism?
wariber [46]
The answer would be 56
3 0
3 years ago
What is the measure of angle BAC? Round to the nearest whole degree.
Deffense [45]

The answer would be 70 degrees.

In order to find this answer, we must first look at the cos value of an angle. The unknown angle here gives us an adjacent side of 3.4 and a hypotenuse of 10. Thus, we can use the following with cos.

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As a result, we can then use the arccos function to find the answer.

acrcos(.34) = A

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Then when we round, we'd get 70.

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