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2 years ago

100 points but please don’t post a very useless answers! >:(

Mathematics

1 answer:

Lelu [443]2 years ago

7 0

Answer:

See below.

Step-by-step explanation:

54.

The radius of the small circles is x.

The radius of the large circle is 2x.

Area of large circle:

πr² = π(2x)² = π4x² = 4πx²

Area of 1 small circle:

πr² = πx²

Area of 2 small circles:

2πx²

shaded area = area of large circle - area of 2 small circles

shaded area = 4πx² - 2πx²

shaded area = 2πx²

57.

The radius if the circle is x√2.

The side of the square is 2x.

Area of circle:

πr² = π(x√2)² = 2πx²

Area of square:

s² = (2x)² = 4x²

shaded area = area of circle - area of square

shaded area = 2πx² - 4x² or (2π - 4)x²

You might be interested in

One angle is 25° bigger than another angle. the two angles are supplementary. what is the measure of the two angles

Rama09 [41]

1st angle - x⁰
2nd angle - (x+25)⁰
The angles are supplementary,
so
x+x+25=180
2x=155
x=77.5⁰ -1st angle

77.5+25=102.5⁰ - 2nd angle

3 0

3 years ago

Geometry question. please help

Vinvika [58]

Answer:

The length of PQ is 18 feet.

The length of PR is 18 feet.

The length of QR is 24 feet.

Step-by-step explanation:

A way to set an equation up for this problem is:

$\frac{4}{3}x+x+x=60$

where x is the three lengths of the isosceles triangle, but the base QR is 4/3 the length of the other two congruent sides, length PQ and PR. The 60 represents the total length of the perimeter.

Then, solve for x from the equation, and you’ll get x=18. But your not done yet. Since the variable x in the equation stands for the sides of the isosceles triangle, so plug 18 into the equation and it should look like this:

$\frac{4}{3}(18)+18+18=60$

Don’t solve the whole equation, just solve the $\frac{4}{3}(18)$ part of the equation, which is equal to 24. So the final equation is this:

$24+18+18=60$

Conclusion: 24 is the length of QR, and 18 is the length of PQ and PR. And they all equal 60, which is the perimeter. This is very true because the length of PQ and PR are the same (length 18), since it’s an isosceles triangle, and the length of QR is 4/3 the length of PQ and PR (4/3 of 18= 24).

Sorry for the long explanation.

But hope this helps and answers your question :)

8 0

3 years ago

Which expressions are equivalent to the expression 7(5 + m) – 8? Check all that apply.

IRINA_888 [86]

Answer:

there are no expressions in the question, so I can't help you. Can you post the expressions?

5 0

3 years ago

Read 2 more answers

(WILL GIVE BRAINLIEST) Solve for x.

Oksanka [162]

Answer:

−2(−9x+5)−4x=2(x−5)−4

Step 1: Simplify both sides of the equation.

−2(−9x+5)−4x=2(x−5)−4

(−2)(−9x)+(−2)(5)+−4x=(2)(x)+(2)(−5)+−4(Distribute)

18x+−10+−4x=2x+−10+−4

(18x+−4x)+(−10)=(2x)+(−10+−4)(Combine Like Terms)

14x+−10=2x+−14

14x−10=2x−14

Step 2: Subtract 2x from both sides.

14x−10−2x=2x−14−2x

12x−10=−14

Step 3: Add 10 to both sides.

12x−10+10=−14+10

12x=−4

Step 4: Divide both sides by 12.

12x

−4

x= -1/3

Step-by-step explanation:

Good luck! Hope this helps! <3

3 0

3 years ago

Read 2 more answers

A positive real number is 5 more than another. When - 10 times the smaller is added to the square of the larger, the result is 5

salantis [7]

Answer:

4√2 and 5+4√2

Step-by-step explanation:

Let the two numbers be x ad y

Smaller = y

Bigger = x

If a positive real number is 5 more than another, then;

x = 5 + y ... 1

When - 10 times the smaller is added to the square of the larger, the result is 57, then;

-10y + x² = 57 ...2

Substitute 1 into 2;

-10y + (5+y)² = 57

-10y + 25+10y+y² = 57

y²+25 = 57

y² = 57 - 25

y² = 32

y = √32

y = 4√2

Since x = 5 + y

x = 5 + 4√2

Hence rhe numbers are 4√2 and 5+4√2

8 0

3 years ago