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3 years ago

A circle with radius of 6 cm sits inside a circle with a radius of 9 cm, what is the area of the shaded region?

Mathematics

1 answer:

SpyIntel [72]3 years ago

4 0

Answer:

128.8cm^2

Step-by-step explanation:

area of circle with radius 6cm = π6^2

area of circle with radius 9cm = π9^2

shaded region is equal to π9^2 - π6^2

which is 41π

therefore the shaded region is = 128.8cm^2

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Options of Answer

Naya [18.7K]

Answer:

D) 18 bags of chips and 6 jars of salsa

Step-by-step explanation:

Given : The networking organization you joined is throwing a party. You are in charge of buying the chips, which cost $2.50 per bag and salsa, which costs $4 per jar. The chips & salsa budget you are given totals $60.

Inequality: $2.5x+4y$ ≤ $60$

Solution :

x represents chips

y represents salsa

Option a: 10 bags of chips and 2 jars of salsa

so, x = 10 and y =2

Putting values in inequality

$2.5(10)+4(2)$ ≤ $60$

$25+8$ ≤ $60$

$33$ ≤ $60$

Hence it is correct.

Option c : 14 bags of chips and 5 jars of salsa

so, x = 14 and y =5

Putting values in inequality

$2.5(10)+4(2)$ ≤ $60$

$50+8$ ≤ $60$

$58$ ≤ $60$

Hence it is correct.

Option c : 14 bags of chips and 5 jars of salsa

so, x = 14 and y =5

Putting values in inequality

$2.5(14)+4(5)$ ≤ $60$

$35+20$ ≤ $60$

$55$ ≤ $60$

Hence it is correct.

Option d :18 bags of chips and 6 jars of salsa

so, x = 18 and y =6

Putting values in inequality

$2.5(18)+4(6)$ ≤ $60$

$45+24$ ≤ $60$

$69\geq 60$

Hence it is not correct since it violates the inequality

5 0

3 years ago

Simplify the radical

elena-14-01-66 [18.8K]

Answer:

$\sqrt{108} \sqrt{36 \times 3} \sqrt{36} \sqrt{3} \: \: 6 \sqrt{3} \: \: \: \sqrt{108} = 10.392304845413264$

8 0

3 years ago

Shop is giving 10% discount on each item the mark price of an item is $60 so the discount amount should be

maxonik [38]

<h3>Answer: $6</h3>

Explanation:

To take 10% of anything, move the decimal point 1 spot to the left.

The number 60.0 will become 6.00 or simply 6.

In other words, we chop off the 0 at the end go from 60 to 6.

6 0

2 years ago

Consider the line 7x+9y=5

alisha [4.7K]

Answer:

The slope of a line parallel to this line will be: -7/9

The slope of the perpendicular line will be:

$\frac{-1}{\frac{-7}{9}}=\frac{9}{7}$

Step-by-step explanation:

We know the slope-intercept form

$y=mx+b$

Here,

m is the slope

b is the y-intercept

Given the equation

$7x+9y=5$

simplifying to write in the lope-intercept form

$y=-\frac{7}{9}x+\frac{5}{9}$

Thus, the slope of the line is: -7/9

The slope of a line parallel to the line:

We have already determined that the slope of the line is: -7/9

We know that the parallel lines have the same slope.

Thus, the slope of a line parallel to this line will be: -7/9

The slope of a line perpendicular to the line:

We have already determined that the slope of the line is: -7/9

As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line.

Thus, the slope of the perpendicular line will be:

$\frac{-1}{\frac{-7}{9}}=\frac{9}{7}$

4 0

3 years ago

What is the solution of...

Darya [45]

Answer:

x = -72

Step-by-step explanation:

...................

5 0

3 years ago

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