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Allushta [10]
3 years ago
12

???? Help me please

Mathematics
1 answer:
Mama L [17]3 years ago
5 0

Answer:

24.5672 cm² (answer rounded up to four decimal places)

Step-by-step explanation:

The area of the shaded region = The area of the circle with a diameter of 6.4 cm - the area of the two circles with diameters of 2.2 cm each

The area of the circle with a 6.4 cm diameter is:

Area(A) = π × r²

The radius here is \frac{6.4 cm}{2} = 3.2 cm

A = π × 3.2² = 32.1699087728  cm² or 32.1699 cm² (rounded up to four decimal places)

The area of the the circles with diameters of 2.2 cm each is:

Area(A) = π × r²

But because the circles are two, the area will be;

A = 2 × π × R²

The radius here is 2.2 cm ÷ 2 = 1.1 cm

A = 2 × π × 1.1² = 7.60265422169  cm² or 7.6027 cm² (rounded up to four decimal places)

The area of the shaded region = 32.1699 cm² - 7.6027 cm² = 24.5672 cm²

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Step-by-step explanation:

If a given triangle is a right triangle, then the Pythagorean Theorem applies.  The triangle in this description has side lengths 14, 29 and 37 km.  We must determine whether or not

14^2 + 29^2 = 37^2 is true:

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4 0
3 years ago
Write the equation of the line that passes through the point (-3, -1) with a slope of -2/3
svp [43]

-1=-2/3(-3) + b

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Y= -2/3x -3

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3 years ago
What is the measure of STR?
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3 years ago
Pls help for this question! no wrong answers pls
ankoles [38]

Answer:

41.29 cm²

Step-by-step explanation:

From the question,

Area of the shaded portion = Area of the circle - area of the square.

A' = πr²-L²...… Equation 1

Where A' = Area of the shade portion, r = radius of the circle, L = length of the square, π = pie

Given: r = 4 cm, L = 3 cm

Constant: π = 22/7.

Substitute these values into equation 1

A' = [(22/7)×4²]-3²

A' = 50.29-9

A' = 41.29 cm²

Hence the area of the shaded portion is 41.29 cm²

8 0
3 years ago
On January 1, 2017, Shay issues $700,000 of 10%, 15-year bonds at a price of 97¾. Six years later, on January 1, 2023, Shay reti
White raven [17]

Answer:

Loss on retirement is $8190

Step-by-step explanation:

In order to determine the gain or loss on the retirement of the 20% of the bonds,one needs to know the book value of the bonds retired.

First,we calculate the book value of the entire bond as follows

Initial carrying value=$700,000*97.75%=$ 684,250.00  

Initial discount on bonds issue=face value -issue price

                                                  =$700,000-$684,250  

                                                  =$15750

Discount amortized over 6 years out of 15 years=15750 *6/15=$6300

Unamortized discount==$15,750 -$6300=$9450

The book value of the bond now=face value-unamortized discount

                                                      =$700,000-$9450 =$690,550

book value of 20% bonds=$690550 *20%=$138,110

cash paid for retirement=$700,000*20%*104.5%=$146,300

loss on retirement=$146,300-$138,100=$8190

                                       

8 0
3 years ago
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