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bulgar [2K]
3 years ago
11

10 points. The diameters of two circles are in the ratio of 2:3. Find the area of the smaller circle if the area of the larger i

s 63π square meters.
Mathematics
1 answer:
AnnyKZ [126]3 years ago
3 0

63 \times  \frac{2}{3}  = \frac{63 \times 2}{3}  =  \frac{126}{3}  = 42 \\

The area of the smaller circle is

42\pi \: square \: meters

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AB←→||CD←→. Find the measure of ∠BFG.
Colt1911 [192]

Answer:

Value of ∠ BFG = 135°

Step-by-step explanation:

Given:

AB || CD

∠ AFG = (3x + 15)°

∠ FGD = (5x - 5)°

Find:

∠ BFG

Computation:

We know that;

∠ AFG = ∠ FGD

3x + 15 = 5x - 5

3x - 5x = - 5 - 15

- 2x = - 20

2x = 20

x = 10

Value of ∠ AFG = 3x + 15

Value of ∠ AFG = 3(10) + 15

Value of ∠ AFG = 45°

∠ BFG = 180° - Value of ∠ AFG

∠ BFG = 180° - 45°

∠ BFG = 135°

Value of ∠ BFG = 135°

8 0
3 years ago
The following data is from a simple random sample of 12 students GPAs. 3.12 2.45 4.0 3.76 3.54 2.78 3.39 3.21 1.98 3.43 3.98 2.7
Rufina [12.5K]

Answer: 3. 2

Step-by-step explanation:

Given the data:

3.12 2.45 4.0 3.76 3.54 2.78 3.39 3.21 1.98 3.43 3.98 2.77

Point estimate of population mean :

Σx / N

(3.12 + 2.45 + 4.0 + 3.76+ 3.54 + 2.78 + 3.39 + 3.21 + 1.98 + 3.43 + 3.98 + 2.77)

= 38.41 / 12

= 3.2008

4 0
3 years ago
ariana's 150g bag of trail mix is x% raisins. brandon's 250g bag of trail mix is y% raisins. they combine the two mixes together
Tema [17]

Answer:

(3x+5y)/8

Step-by-step explanation:

The total amount is 150+250=400

We then do (3x+5y)/2 × 1/400

This equals (3x+5y)/800

We multiply that  by 100 giving us the final answer.

7 0
2 years ago
Simplify this expression
qaws [65]

Answer:

10

Step-by-step explanation:

25-10+3-8

15+3-8

18-8

10

6 0
3 years ago
Select the correct answer.
Nina [5.8K]

Answer:

D. x^2 + 3x - 88

Step-by-step explanation:

Area of rectangle = length (l) * width (w)

Length of rectangle = (x - 8)

Width = (x + 11)

Area of rectangle = (x - 8)(x + 11)

Expand the expression

x(x + 11) -8(x + 11) (distributive property of multiplication)

x^2 + 11x - 8x - 88

Combine like terms

x^2 + 3x - 88

Expression for the area of the rectangle = x^2 + 3x - 88

7 0
3 years ago
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