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3 years ago

If the hypotenuse of a right triangle is 6 feet long, and one leg is 5 feet long,

1 answer:

6 0

C^2=a^2+b^2
6^2=5^2+b^2
36=25+b^2
b^2=36-25
b^2=11
b= √11
b=3.3166
If you need to round it to the tenth place,
b~3.3
to hundreds place,
b~3.32
Good luck

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What is the answer (-32)^-3/5

horsena [70]

$-32 ^{- \frac{3}{5} }$

$\frac{1}{-32}^{ \frac{3}{5} }$

$= \sqrt[5]{ (\frac{1}{-32}) ^{3} }$

$=- \frac{1}{8}$

Answer: $- \frac{1}{8}$

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3 years ago

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A swimmer can do 4 laps in 2 minutes and 30 seconds how long does it take him to do one lap

Shkiper50 [21]

Answer:

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Step-by-step explanation:

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2 years ago

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Write each polynomial in standard form. Then give the leading coefficient. You may need to combine like terms before writing the

Bond [772]

Step-by-step explanation:

To write a polynomial in standard form, put the degree that are the greatest first

So here it would be

${x}^{5} + 4 {x}^{3} - 3 {x}^{2} + 10$

Remember constant are numbers that you learned back in elementary,

Numbers like 10,90,4,1,0,-3 etc.

Remember that constant are basically represented like this

$k \times {x}^{0}$

For example, 10 is represented like

$10 \times {x}^{0}$

Since 0 is the smallest degree possible, for a polynomial, constants are the last term of a polynomial in standard form

6 0

1 year ago

two numbered 1 to 6 dice are thrown together and their scores are added. the probability that the sum will be 4 is?

natulia [17]

Answer:

$Pr = \frac{3}{36}$

Step-by-step explanation:

Given

2 number die

Required

P(Sum = 4)

The sample space of 2 die is:

$S = \{(1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6), (2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6)$

$(3, 1) (3, 2) (3, 3) (3, 4) (3, 5) (3, 6), (4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6)$

$(5, 1) (5, 2) (5, 3) (5, 4) (5, 5) (5, 6), (6, 1) (6, 2) (6, 3) (6, 4) (6, 5) (6, 6)$

$n(S)= 36$

The pairs that adds up to 4 are:

$Sum(4) = \{(1,3), (2,2),(3,1)\}$

$n(Sum) =3$

So, the probability is:

$Pr = \frac{n(Sum)}{n(S)}$

$Pr = \frac{3}{36}$

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2 years ago

Solve for x:

pentagon [3]

Answer:

2<x<3

Step-by-step explanation:

4x-4<8 AND 9x+5>23

Solve the first inequality

4x-4<8

Add 4 to each side

4x-4+4 <8+4

4x<12

Divide by 4

4x/4 <12/4

x <3

Solve the second inequality

9x+5>23

Subtract 5 from each side

9x+5-5>23-5

9x >18

Divide by 9

9x/9>18/9

x>2

Put together

x<3 and x>2

2<x<3

3 0

3 years ago