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Maru [420]
3 years ago
5

Student loan debt in the United States grows approximately 9.8×10^3 dollars every hour. At this rate, how much debt occurs each

week? Give answer in scientific notation.
Mathematics
1 answer:
Marat540 [252]3 years ago
3 0
1hr=0.0098 dollars
24hr=?
24 by 0.0098 =0.2352 dollars
:0.2352 by 7 days
=1.6464 dollars
:=1646.4 by 10 raised to the power - 3
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The histogram shows the number of items that customers bought during a trip to the grocery store one day. Four hundred customers
erastovalidia [21]
Number of people who bought fewer than 30 items is (0.14 + 0.12 + 0.24)400 = 0.51 x 400 = 204
3 0
3 years ago
The diagram shows a square ABCD with sides of length 20cm. it also shows a semi circle and an arc circle AB is the diameter of t
Brut [27]

Answer:

Area of Shaded Region =50\pi$ cm^2

Area of Semicircle =50\pi$ cm^2

\dfrac{\text{Area of Shaded region}}{\text{Area of Square}}=\dfrac{ \pi}{8}

Step-by-step explanation:

Area of Shaded Region = Area of Sector - Area of Semicircle

<u>Area of Sector</u>

Radius of the sector =20cm

=\frac{90}{360}X\pi *20^2\\ =100\pi cm^2

<u>Area of Semicircle</u>

Since AB is the diameter of the semicircle

Radius of the Semicircle=20/2=10cm

Area of semicircle

=\frac{\pi r^2}{2}\\ =\frac{\pi *10^2}{2}\\=50\pi cm^2

Therefore, area of Shaded Region

=100\pi -50 \pi\\=50\pi$ cm^2

Area of Square =20 X 20 =400 cm^2

\dfrac{\text{Area of Shaded region}}{\text{Area of Square}} \\=\dfrac{50 \pi}{400} \\=\dfrac{ \pi}{8}

4 0
3 years ago
Adrian is putting streamers across the ceiling of his dining room to decorate for his nephew’s birthday party. The ceiling is re
iren2701 [21]

Answer: Choice B) 17.5 feet

A = Area of rectangle

L = length

W = width

The formula to use is A = L*W, so we multiply length and width.

We know W = 7 but we don't know what L is.

We know that A = 122.5 is also given

So let's solve for L

A = L*W

L*W = A

L*7 = 122.5     plug in the given values

7*L = 122.5

7*L/7 = 122.5/7     divide both sides by 7

L = 17.5

He should cut 17.5 feet of streamer. Keep in mind that this only applies if Adrian wants to make the streamer completely taut and a straight line across the ceiling/wall. If he wants the streamer to hang down a bit (forming a shape like a rope bridge in a sense), then the streamer's length will have to be a bit longer to account for the extra distance along the curve.

5 0
2 years ago
What is the area of the trapezoid?
Natali [406]

A trapezoid is a quadrilateral with one pair of parallel sides. The formula for the area of a trapezoid is ↓

Area = \frac{1}{2} (base 1 + base 2) h

The bases of the trapezoid are the parallel sides.

In the trapezoid shown, the bases are 22.2 cm and 8.52 cm and the height of the trapezoid is 9.86 cm. Now, we can plug these numbers into our formula.

\frac{1}{2} (22.2 cm + 8.52 cm) (9.86 cm)

Next, the order of operations tells us that we need to simplify inside the parentheses first. 22.2 + 8.52 = 30.72 cm

\frac{1}{2} (30.72 cm) (9.86 cm)

\frac{1}{2} × 30.72 = 15.36

(15.36 cm) (9.86 cm) = 151.4496 cm²

8 0
3 years ago
Help with all four please?
dedylja [7]

Answer:

Option c is answer

Step-by-step explanation:

follow me I will help you

7 0
2 years ago
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