3. Using the Pythagorean Theorem, find the length of a leg of a right triangle if the other leg 8ft long and the hypotenuse is 10ft long

Answers

Answer 1

Answer:

10 squared minus 8 squared.

=36

square root 36= 6

Answer 2

Answer: a² + b² = c² ⇒
a² + 8² = 10² ⇒
a² = 10² - 8² ⇒
a² = 100 - 64⇒
a² = 36 ⇒
a = √36⇒
a = 6

the length of the leg is 6ft long

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What is the square root of 16

Answers

the square root of 16 is 4 you do 4x4=16

Multiply (3)(-4)(2).

ASAP PLEASE HELP!

Answers

(3)(-4)(2)

Answer:-24

Hope it helps

What is the ratio 35 to 56 written as a fraction in lowest terms?

Answers

In lowest terms 35 to 56 would be written as
Answer = 5 to 8
:)

Simplify:3x×2x×x⁴ plz help me I am confuse I think the answer is 6x⁶ It is or not plz help me❤️❤️

Answers

Answer:

6x^2^x^2+x^4

Step-by-step explanation:

Answer:

Yes your answer is correct

Step-by-step explanation:

First of all you multiply 3x with 2x which equals 6x power 2 because we sum the power. Then we multiply 6x power 2 with x power 4 which equals 6x power 6 because X is 1X so the answer is 6X power 6

When Frederick was born, his grandparents gave him a gift of 2000, which was invested at an interest rate of 5% per year, compounded yearly. How much money will Frederick have when he collects the money at the age of 18? Give your answer to the nearest hundredth of a dollar.

Answers

Answer:

Frederick collects the an amount of $4813.24 at the age of 18 out of which $2000 was the beginning amount.

Step-by-step explanation:

We are given the following information in the question:

Amount = 2000

Interest rate = 5%

The money is compounded annually or yearly.

Time = 18 years

Compound interest =

$A = P\bigg(1+\displaystyle(r)/(n)\bigg)^(nt)$

where P is the principal amount, r is the interest rate, t is the time in years and n is the number of compounding in a year.

Since, the money is compounded yearly we put n = 1.

Putting all the values, we get,

$A = P\bigg(1+\displaystyle(r)/(n)\bigg)^(nt)\n\nA = 2000\bigg(1+(5)/(100)\bigg)^(18)\n\nA = 4813.24\n\n\text{Interest, I} = \text{Amount - Principal} = A - P\n\nI = 4813.24 - 2000 = 2813.24$

Thus, Frederick collects the an amount of $4813.24 at the age of 18 out of which $2000 was the beginning amount.

Answer:

$4813.24

Step-by-step explanation:

Five percent growth corresponds to multiplication by 1+5%=1.05. So, the amount of money Frederick will have in 18 years is 2000(1+.05)^18= $4813.24

Alex and his friends are studying for a geometry test and one of the main topics covered is parallel lines in a plane. They each write down what they think it means for two distinct lines in a plane to be parallel:Rachel writes, ''two distinct lines are parallel when they are both perpendicular to a third line.''

Alex writes, ''two distinct lines are parallel when they do not meet.''

Briana writes, ''two distinct lines are parallel when they have the same slope.''

Analyze each definition, indicating if it is mathematically correct and if it has any drawbacks.

helpp pleaseee

Answers

Briana is correct because she is smart

Step-by-step explanation:

Briana is correct because she is smart

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