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BartSMP [9]
3 years ago
9

A hot-air balloon is at an elevation of 4,800 feet if the balloon falls 40 feet per minute how long will it take for the balloon

to reach 2000 feet
Mathematics
1 answer:
Triss [41]3 years ago
5 0
1. 4800-2000=2800
This is the distance that the balloon needs to fall to reach an altitude of 2000 feet.
2. 2800/40=70
Distance/rate=time
The answer is 70 minutes.
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Round 5 358 708 to the nearest million​
bulgar [2K]

Answer:5 million

Step-by-step explanation: Because 300 thousand is below 500 thousand so if its below 500 thousand it cant round up it rounds down.

4 0
1 year ago
Let A={15,25,35,45,55,65} and B= {25,45,65} what is A n B?
ss7ja [257]

Answer:

[25, 45,65]

Step-by-step explanation:

These are the common terms in A as well as B

6 0
2 years ago
Electric charge is distributed over the disk x2 + y2 ≤ 16 so that the charge density at (x, y) is rho(x, y) = 2x + 2y + 2x2 + 2y
professor190 [17]

Answer:

Required total charge is 256\pi coulombs per square meter.

Step-by-step explanation:

Given electric charge is dristributed over the disk,

x^2=y^2\leq 16 so that the charge density at (x,y) is,

\rho (x,y)=2x+2y+2x^2+2y^2

To find total charge on the disk let Q be the total charge and x=r\cos\theta,y=r\sin\theta so that,

Q={\int\int}_Q\rho(x,y) dA                where A is the surface of disk.

=\int_{0}^{2\pi}\int_{0}^{4}(2x+2y+2x^2+2y^2)dA

=\int_{0}^{2\pi}\int_{0}^{4}(2r\cos\theta+2r\sin\theta+2r^2 \cos^{2}\theta+2r^2\sin^2\theta)rdrd\theta

=2\int_{0}^{2\pi}\int_{0}^{4}r^2(\cos\theta+\sin\theta)drd\theta+2\int_{0}^{2\pi}\int_{0}^{4}r^3drd\theta

=\frac{2}{3}\int_{0}^{2\pi}(\sin\theta+\cos\theta)\Big[r^3\Big]_{0}^{4}d\theta+2\int_{0}^{2\pi}\Big[\frac{r^4}{4}\Big]d\theta

=\frac{128}{3}\int_{0}^{2\pi}(\sin\theta+\cos\theta)d\theta+128\int_{0}^{2\pi}d\theta

=\frac{128}{3}\Big[\sin\theta-\cos\theta\Big]_{0}^{2\pi}+128\times 2\pi

=\frac{128}{3}\Big[\sin 2\pi-\cos 2\pi-\sin 0+\cos 0\Big]+256\pi

=256\pi

Hence total charge is 256\pi coulombs per square meter.

3 0
2 years ago
Please help with explanation and show work :)
ANEK [815]
3. A=bh/2
2A=bh
h=2A/b.

8. Dy-Cx=E
Dy=E+Cx
y=(E+Cx)/D
3 0
2 years ago
The perimeter of a rectangular red sticker is 34 mm. it is 8 mm tall. how wide is it?​
Orlov [11]

Answer:

9 mm wide

Step-by-step explanation:

Perimeter = length x 2 + width x 2

34 mm = 16 mm + ?

34mm = 16 mm + 18 mm

18/2 = 9

9 mm wide

8 0
3 years ago
Read 2 more answers
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