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avanturin [10]
3 years ago
7

Find the area of the shaded circle.give your answer in 3 significant numbers​

Mathematics
2 answers:
DENIUS [597]3 years ago
4 0

Answer:

116 cm²

Step-by-step explanation:

The area of a circle = πr² ← r is the radius

shaded area = external area - internal area

                      = π × 6.5² - π × 2.3²

                      = π( 42.25 - 5.29)

                      = π × 36.96 ≈ 116 cm²

s2008m [1.1K]3 years ago
4 0

Answer:

<h2><u>116.113 cm²</u></h2>

Step-by-step explanation:

Area of a circle = πr²

Shaded area = External area - Internal area

                      = π × 6.5² - π × 2.3²

                      = π × (42.25 - 5.29)

                      = π × 36.96 = <u>116.113 cm²</u>

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Answer:

x = - 4

Step-by-step explanation:

Given

- x² - 8x - 16 = 0 ( multiply through by - 1 to clear the leading negative )

x² + 8x + 16 = 0 ← this is a perfect square

(x + 4)² = 0 ( take the square root of both sides )

x + 4 = 0 ( subtract 4 from both sides )

x = - 4

6 0
3 years ago
(-6)(2) + (-8÷4) what is the anwer?
Novay_Z [31]

Answer:

-14

Step-by-step explanation:

(-6)(2)= -12

(-8÷4)= -2

-12+(-2)= -14

8 0
3 years ago
Nancy’s morning routine involves getting dressed , eating breakfast, making her bed , and driving to work . Nancy spends 1/3 of
grin007 [14]

Answer: Nancy needs 26 minutes to driving to work.

Explanation:

Since we have given that

Time taken in eating breakfast = 10 minutes

Time taken in making her bed = 5 minutes

Let the total time taken by her in doing routine activities be x

Time taken in getting dressed is given by

\frac{1}{3}x

So, According to question,

\frac{x}{3}+10+5=35\frac{1}{2}\\\\\frac{x}{3}+15=\frac{71}{2}\\\\\frac{x}{3}=\frac{71}{2}-15\\\\\frac{x}{3}=\frac{71-30}{2}=\frac{41}{2}\\\\x=\frac{123}{2}

Now, we need to find the time taken in driving to work which is given by

\frac{123}{{2}-\frac{71}{2}=\frac{52}{2}=26\ minutes

Hence, Nancy needs 26 minutes to driving to work.

6 0
3 years ago
The square root of a negative number, such as StartRoot negative 144 EndRoot, is undefined. Explain why the square root of –x, S
IRINA_888 [86]

Answer:

see the explanation

Step-by-step explanation:

we have

f(x)=\sqrt{-x}

we know that

The radicand of the function cannot be a negative number

so

-x\geq 0

Solve for x

Multiply by -1 both sides

x\leq 0

The domain of the function f(x) is the interval -----> (-∞, 0]

The domain is all real numbers less than or equal to zero

The range of the function f(x) is the interval ----> [0,∞)

The range is all real numbers greater than or equal to zero

<em>Example</em>

For x=144

144\leq 0 ----> is not true

This value of x not satisfy the domain

substitute

f(x)=\sqrt{-144} ----> this value is undefined

For x=-144

-144\leq 0 ----> is true

This value of x satisfy the domain

substitute

f(x)=\sqrt{-(-144)}

f(x)=\sqrt{144}----> this value is defined

therefore

The function will be undefined for all those values of x that do not belong to the interval of the domain of the function

6 0
3 years ago
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Find the median<br> 5 12 18 7 24 16​
brilliants [131]
5 7 12 16 18 24 12 and 16 are in the middle. Add 12 and 16 and then divide by 2 (28/2)= 14
5 0
3 years ago
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