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3 years ago

Help please triangles

Mathematics

1 answer:

andrey2020 [161]3 years ago

7 0

For all of them just use the Pythagorean theorem which is a squared plus b squared equals c squared where c is the hypotenuse (length of the side opposite the right angle) and a and b are legs. Just plug it in and solve for the missing length. For example, 1 would be (12) squared plus (5) squared equals c squared
Simplify to get 144 plus 25=c squared
169 equals c squared
Find the square root of both sides
c=13

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Question 4 please:<br> Witch numbers in the box are multiple of 3

umka21 [38]

Answer:

6 AND 12

Step-by-step explanation:

3 x 2 = 6

3 x 4 = 12

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4 years ago

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The length of a rectangle is 3 meter shorter than3 times its width.Find the length and width if the perimeter is 210 meters

Shkiper50 [21]

Answer:

length = 78 m , width = 27 m

Step-by-step explanation:

let w represent width then length l = 3w - 3

the perimeter (P) is calculated as

P = 2l + 2w = 210 , substitute values

2(3w - 3) + 2w = 210 ← distribute parenthesis and simplify left side

6w - 6 + 2w = 210

8w - 6 = 210 ( add 6 to both sides )

8w = 216 ( divide both sides by 8 )

w = 27 and l = 3(27) - 3 = 81 - 3 = 78

Then length = 78 m and width = 27 m

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3 years ago

What is the first term in the sequence for which d = -2 and a7 = 3?

AnnZ [28]

Answer:

Final answer is c. 15

Step-by-step explanation:

We need to find about what is the first term in the sequence for which d = -2 and a7 = 3

We will use nth term formula of arithmetic sequence.

$a_n=a+\left(n-1\right)d$

we have been given a7 that means 7th term is 3

so plug n=7, d=-2 and a_n=3 into above formula

$3=a+\left(7-1\right)(-2)$

$3=a+6(-2)$

$3=a-12$

$15=a$

Hence final answer is c. 15

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4 years ago

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Mario was making cookies. He mixed 2½ cups of flour, 1¼ cups of sugar and ½ cup of brown sugar together in a bowl. How many cups

STatiana [176]

Answer:

4 1/4

Step-by-step explanation:

2 1/2 + 1 1/4 + 1/2 = 5/2 + 5/4 + 1/2

LCM = 4

5/2 x 2/2 = 10/4

5/4 = 5/4

1/2 x 2/2 = 2/4

10/4 + 5/4 + 2/4 = 17/4

= 4 1/4

Therefore he put 4 1/4 cups altogether.

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3 years ago

Rewrite the expression with rational exponents.

Marina CMI [18]

Answer:

( $\sqrt[5]{x}$ )^7

Step-by-step explanation:

to cancel out the radical you do the exponent inside and divide it by the out side one so it will be 7/5 so make it x to the expontent of 7/5 and to do rational exponets it will be (^5radicalx)^7

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3 years ago