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sertanlavr [38]
3 years ago
10

The diagram shows one way to develop the formula for the area of a circle. Pieces of a circle with radius r are rearranged to cr

eate a shape that resembles a parallelogram. Since the circumference of the circle can be represented by 2πr, and the area of a parallelogram is determined using A = bh, which represents the approximate area of the parallelogram-like figure? A = (2πr)(r) A = (2πr)(2r) A = (2πr)(r) A = (2πr)(2r)
Mathematics
2 answers:
IRINA_888 [86]3 years ago
7 0

Answer:

A = 1/2(2πr)(r)

Explanation:

The circumference of the circle, 2πr, is the measure completely around the circle.  When the pieces of the circle are rearranged, half of this circumference will be on the top of the parallelogram and half will be on the bottom.  This means the base will be 1/2(2πr).

The approximate height of the parallelogram is the radius of the circle; this makes the area

A = 1/2(2πr)(r)

Sergeu [11.5K]3 years ago
4 0

Answer: Option C.

Step-by-step explanation:

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Molly earned $160 for walking her neighbors dog. If she walked the dog five hours each week for eight weeks how much did she mak
hichkok12 [17]

$4 an hour


5 hours per week times 8 weeks is 40 hours


$160 divided by 40 hours is $4/hr.

7 0
3 years ago
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A total of 31,000 is to be invested, some in bonds and some in certificates of deposit (CDs). If the amount invested in bonds is
kupik [55]

Answer:

Bonds: $42,000

Certificates of deposit: $41,000

Step-by-step explanation:

Total invested = Amount in bonds + Amount in CDs

 

Amount in bonds = Amount in CDs + 1000

 

Let the amount in bonds = B and the amount in CDs = C

 

 

1. 83,000 = B + C

 

2. B = C+1000

 

Since the above expression (#2) defines B, you can substitute it for the B in the first equation (#1).

 

83,000 = C + 1000 + C

 

Now, you can solve for C.

 

83,000 = 2C + 1000

82,000 = 2C

41,000 = C

 

You know that the amount invested in bonds is $1000 greater than the amount invested in CDs, so add $1000 to C and you find B, $42,000.

4 0
2 years ago
PLEASE ANSWER ILL TRY AND MARK BRAINKIEST IF YOH GIVE ME CORRECT ANDWER
Naya [18.7K]

Answer:

option 3

Step-by-step explanation:

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2 years ago
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The diameter of the average cell in the human body is 1 x 10-5 meters. The diameter of a grain of sand is about 2 x 10-4 meters.
MariettaO [177]
PART A:

Scientific notation is given by A×10ⁿ where A is any number in a unit and 'n' is an integer.

0.000025 = 2.5×10⁻⁵

PART B:

Diameter of grain of sand ÷ Diameter of human body average cell
(2×10⁻⁴) ÷ (1×10⁻⁵) 
(2÷1) × (10⁻⁴÷10⁻⁵)
2 × (10⁻⁴ ⁻ ⁻⁵) = 2 × 10⁽⁻⁴⁺⁵⁾ = 2 × 10¹ = 20 times bigger

PART C:

The diameter of human body's average cell in nanometer
1 × 10⁻⁵ metre = 1 × 10⁻⁵ × 10⁹ = 1 × 10⁽⁻⁵⁺⁹⁾ = 1 × 10⁴ nanometer

PART D:

Smallest bacteria = 300 nanometer
300 nm = 300 ÷ 10⁹ = (3 × 10²) ÷ 10⁹ = 3 × (10²⁻⁹) = 3 × 10⁻⁷ meter

PART E:

Laws of exponents that are applied in scientific notation is 

xᵇ × xᵃ = x⁽ᵇ⁺ᵃ⁾
xᵇ ÷ xᵃ = x⁽ᵇ⁻ᵃ⁾

7 0
2 years ago
Which questions can be answered by finding the surface area? Check all that apply.
True [87]

Answer:

Step-by-step explanation:

Surface area is pretty synonymous with area.

How much paint is needed to paint the outside of a birdhouse?

Paint is measured in volume, so not surface area

How much wallpaper is needed to cover the walls of your room?

Since its just the walls its not total surface area, but surface area of the walls.

How much water will it take to fill a rectangular container?

water is measured in volume, especially when wanting to fill something.

How much topsoil can a gardener place in his wheelbarrow?

Wants to know how much topsoil is needed to FILL the wheelbarrow, filling is volume.  So not surface area.

How much fabric is needed to make a pillowcase for a pillow?

Not asking to fill the pillowcase, just how much is needed for the thin, one layer thick case.  So this is surface area.  

3 0
2 years ago
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