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anygoal [31]
4 years ago
10

In the 40-60-90 triangle below, side s has a length of ___ and side q has a length of __​

Mathematics
1 answer:
AlexFokin [52]4 years ago
7 0

Answer:

D. 5,\: 5\sqrt 3

Step-by-step explanation:

According to the 30°-60°-90° triangle theorem:

Side opposite to 30° is half of hypotenuse and side opposite to 60° is \frac{\sqrt 3}{2} times of hypotenuse.

In the given figure:

side s is opposite to 30° angle.

\therefore s = \frac{1}{2} \times 10= 5\\

side q is opposite to 60° angle.

\therefore q =\frac{\sqrt 3}{2}  \times 10= 5\sqrt 3\\

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3 years ago
Y= -3x + 1 and y= x - 3
e-lub [12.9K]

Answer:

x= 1

y= -2

Step-by-step explanation:

equation (1): y= -3x+1

equation (2): y=x-3

solve the system of equations by substitution:

step1: sub ( x-3 ) for y in equation 1:

y = -3x+1

x-3 = -3x+1

step2: simplify the equation to get x:

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x = -3x+4

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(divide 4 from both sides)

x = 1

step3: sub the value of x (x=1) in equation 2:

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3 years ago
Facts about pasical's education
Paha777 [63]
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3 years ago
This right rectangular prism is filled with -foot unit cubes.
KonstantinChe [14]

Answer:

The answer would be 36.

Step-by-step explanation:

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3 years ago
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creativ13 [48]

Answer:

Elbert will Make $968 in 40 hours of work with the raise.

Step-by-step explanation:

Given:

Elbert makes $22 an hour.

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Now total money for per hour after raise  = \$22+\$2.2=\$24.2

Now to find the total money earned after 40 hours with raise we need to multiply total money for per hour after raise with number of hours.

Total money earned = \$24.2 \times 40 = \$968

Hence, Elbert will Make $968 in 40 hours of work with the raise.

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3 years ago
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