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Dmitriy789 [7]
2 years ago
5

What is the value of x in the triangle? A. 21 B. 10 C. 7 D. 7√3

Mathematics
1 answer:
enyata [817]2 years ago
4 0
A

Working:
Tan(angle)=opposite/adjacent
Tan60 = x/7root3
x=7root3 x Tan60
Enter in calculator
x=21
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 −   −      =<br>    <br> 10 8
san4es73 [151]

Answer:

ANSWER might be 6

Hope it helps

3 0
2 years ago
Luis makes 3 free throw out of 7 shots. How many free throws will he make if he shoots 21 times
alina1380 [7]
The answer is 9 free throws
4 0
3 years ago
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Which graph represents the function of f(x) 9x^2 + 9x - 18 / 3x + 6
Irina-Kira [14]

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

f(x)=\frac{9x^{2}+9x-18}{3x+6}

Remember that in a quotient, the denominator cannot be equal to zero

so

The value of x cannot be equal to x=-2

Simplify the expression

Using a graphing tool

The roots of the quadratic equation in the numerator are

x=-2 and x=1

so

9x^{2}+9x-18=9(x+2)(x-1)

Simplify the denominator

3x+6=3(x+2)

substitute in the original expression

f(x)=\frac{9(x+2)(x-1)}{3(x+2)}

Simplify

f(x)=3(x-1)

f(x)=3x-3

Is the equation of a line

The y-intercept is the point (0,-3) (value of the function when x is equal to zero)

The x-intercept is the point (1,0) (value of x when the value of the function is equal to zero)

Graph the line, but remember that the value of  x cannot be equal to -2

The graph in the attached figure

7 0
3 years ago
The $414 price charges a store for a small refrigerator consists of the refrigerator's original cost to the store plus a profit
navik [9.2K]

Answer:

<h2>$351.9</h2>

Step-by-step explanation:

the question is not formatted well

<em>A store charges $414 for a small refrigerator, the price consists of the refrigerator's original cost to the store plus a profit 15% what was the refrigerator's original cost to the store?</em>

Step one:

given data

we are told that the price of the small refrigerator contains both the original price and 15% profit

mathematically

$414= original price + 15% profit

Step two:

let us solve for 15% of 414

=(15/100)*414

=0.15*414

=$62.1

This shows that the profit is $62.1

let the original price be x

$414= x + 62.1

solve for x

x=414-62.1

x=351.9

<u>The refrigerator's original cost to the store $351.9</u>

4 0
3 years ago
Use the zero product property to find the solutions to the equation x2 – 15x – 100 = 0.
IrinaK [193]

Answer:

x= 20      x =-5

Step-by-step explanation:

x^2 – 15x – 100 = 0.

What two numbers multiply to -100 and add to -15

-20 * 5 = -100

-20 +5 = -15

(x-20) (x+5) =0

Using the zero product property

x-20 =0     x+5 = 0

x= 20      x =-5

7 0
3 years ago
Read 2 more answers
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