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Morgarella [4.7K]
3 years ago
9

How do you find the area of the sector of the circle with a radius of 4in and a central angle θ of pi/3? Please explain procedur

e.
Mathematics
1 answer:
Lena [83]3 years ago
6 0

It is generally useful to use the formula. The procedure is to substitute the given values for the variables in the formula, then do the arithmetic.

... A = (1/2)r²·θ . . . . r is the radius, θ is the central angle in radians

Put the numbers in ...

... A = (1/2)(4 in)²·(π/3)

... A = 8π/3 in² ≈ 8.37758 in²

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Which expression is equivalent to 4(7 + 8)?<br><br>A) 11+8<br>B) 11+12<br>C) 28+12<br>D) 28+32​
andreev551 [17]
To do this we take the outlier off the parenthesis (the 4) and multiply it by the two numbers inside the parenthesis...

4*7 + 4*8

28+32
7 0
3 years ago
Read 2 more answers
What's the value of given expression <br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B22%20%5Ctimes%2022%7D%20" id="TexFormula
scZoUnD [109]

Answer:

22

Step-by-step explanation:

square root of a number multiple by the himself give you the value

so square root of 22 x 22 = 22

5 0
3 years ago
Read 2 more answers
3 An open cone has a vertical angle measuring 40°
belka [17]

Answer:

13.41 cm

Step-by-step explanation:

The radius, height, and HALF of vertical angle makes a triangle.

Where

Radius will be the base of the triangle

Height will be the "height" of the triangle

Top angle will be HALF of vertical angle (40/2 = 20)

From the 20 degree angle, the side "opposite" would be the radius, which is 30. The side "adjacent" would be the height, let it be h.

<em>Which trig ratio relates opposite and adjacent? Yes, that is TAN. Thus we can write:</em>

Tan(20) = opposite/adjacent

Tan(20) = 30/h

h = 30/Tan(20)

h = 13.41

So

The height of the cone would be around 13.41 cm

3 0
3 years ago
Multiply or divide the following expression: Reduce all answers to lowest terms. Factor the following completely.
Semmy [17]

A function assigns the values. The value of f(-3) and f(3) + f(-3) is 8 and -8, respectively.

<h3>What is a Function?</h3>

A function assigns the value of each element of one set to the other specific element of another set.

Given the function f(x)=-x²-4x+5, therefore, the value of f(x) when the value of x is -3 is,

f(-3) = -(-3)² - 4(-3) + 5

f(-3) = -9 + 12 + 5

f(-3) = 8

Now, the value of f(x) when the value of x is 3 is,

f(3) = -(3)²-4(3)+5

f(3) = - 9 - 12 + 5

f(3) = -16

further, the value of f(3) + f(-3) is,

f(3) + f(-3) = -16 + 8

f(3) + f(-3) = -8

Hence, the value of f(-3) and f(3) + f(-3) is 8 and -8, respectively.

Learn more about Function:

brainly.com/question/5245372

#SPJ1

7 0
2 years ago
SELECT ALL OF THE EQUATIONS THAT
anygoal [31]

Answer:

x+9= 12 yes x = 3

4 + X= 9 no x = 5

X x 5 = 18 no x = 3.6

21 / x= 7 yes x= 3

hope this helps

4 0
3 years ago
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