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kobusy [5.1K]
3 years ago
11

Determine whether the given lengths can be sides of a right triangle. Explain. 10 in., 24 in., 26 in.

Mathematics
1 answer:
notsponge [240]3 years ago
4 0
10 in, 24 in, and 26 in. By the Converse of the Pythagorean Theorem, the lengths must satisfy the equation c² = a² + b². Let 26 = hypotenuse and 10 and 24 the legs of the triangle.
26² = 10² + 24²
676 = 100 + 576
676 = 676.
Yes, they can be lengths of a right triangle.
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15 Points
joja [24]

Answer:

Simple interest = $36

Compound interest = $48.96

It's better to invest $600 at 4% compounded monthly for 2 years as it's giving us more profit.

Step-by-step explanation:

Simple interest is calculated on the principal amount of a loan. Compound interest is calculated on the sum of principal amount and accumulated interest of previous periods.

Simple interest = \frac{P R  T}{100}

Compound interest = P(1+\frac{R}{100} )^T-P

Here, P denotes principal amount, R denotes rate of interest, T denotes time.

Given: $600 invested at 3% simple interest for 2 years, $600 invested at 4% compounded monthly for 2 years

To find: Simple interest and compound interest.

Solution:

Take P=600, R=3% and T=2 years

Using the formula of simple interest mentioned above,

Simple interest = \frac{600\times 3\times 2}{100}=36

So, interest earned is $36

Take P=600, R=4% and T=2 years

Using the formula of compound interest mentioned above,

Compound interest = 600\left ( 1+\frac{4}{100} \right )^2-600

=600\left ( 1+\frac{1}{25} \right )^2-600

=600\left [ \left ( \frac{26}{25} \right )^2-1 \right ]

=600\left ( \frac{676}{625}-1 \right )

=600\times \frac{51}{625}=48.96

So, interest earned is $48.96

It's better to invest $600 at 4% compounded monthly for 2 years as it's giving us more profit.

8 0
3 years ago
Find the product of 85 and 25
saul85 [17]

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Step-by-step explanation:

<h3><em><u>Hope</u></em><em><u> </u></em><em><u>it</u></em><em><u> works</u></em><em><u> out</u></em><em><u> </u></em><em><u>!</u></em></h3>
7 0
3 years ago
Mark’s salary is $900 per month. What is his yearly salary? $
velikii [3]
His yearly salary is 10,800
6 0
4 years ago
Read 2 more answers
Find the slope of the line passing through the points (-7,8) and (-7,-4).
N76 [4]

Answer:

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8 0
3 years ago
Mick can drive his car 33 miles with one gallon of gas. how much gas does he need to drive 15,000 miles (his annual mileage)?
Troyanec [42]

Answer: (pt 1) 454.5 gallons.   (pt 2) $1,390.77

Step-by-step explanation:

PART ONE:

\frac{33}{1} = \frac{15,000}{x}

33 · x = 15,000 · 1

33x = 15,000

x = \frac{15,000}{33}

x = 454.5 (rounded)

PART TWO:

454.5 · 3.06 = 1,390.77

4 0
3 years ago
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