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viktelen [127]
2 years ago
14

(12) The Earth is one astronomical unit from the

Mathematics
2 answers:
swat322 years ago
7 0

X+5

Y-7

Fractions can someone help me pls

astraxan [27]2 years ago
7 0

Answer:

3,821,912.5 miles/hour is the linear speed of the earth around the sun.

The Earth make 0.02616 revolutions in 4 hours.

Step-by-step explanation:

v = r\times \omega

v =  linear speed

r = radius from the center

\omega= angular speed

The angular speed of the Earth around the sun = 0.9863 degrees/day

Distance of the earth from the sun = r = 1 AU = 93\times 10^{6} miles

Linear speed of earth around the sun = v

v = 93\times 10^{6} miles\times 0.9863 degrees/day=91,725,900 miles/day

1 day = 24 hours

v=\frac{91,725,900 miles}{24 hours}=3,821,912.5 miles/hour

3,821,912.5 miles/hour is the linear speed of the earth around the sun.

Duration  of drive from Dallas to Texas = 4 hours

Miles of revolution of earth covered in 4 hours :

3,821,912.5 miles/hour\times 4 hr = 15,287,650 miles

1 revolution = 2\pi r

1 revolution = 2\times 3.14\times 93\times 10^6 miles

The revolution of earth in 15,287,650 miles will be:

\frac{1}{2\times 3.14\times 93\times 10^6 miles}\times 15,287,650

=0.026162420 revolution ≈ 0.02616 revolutions

The Earth make 0.02616 revolutions in 4 hours.

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A piggy bank contains some dimes and nickels. There are 8 more dimes than nickels in the bank. There is a total of $1.40. How ma
Softa [21]

Answer:

4 nickels

12 dimes

Step-by-step explanation:

Dimes are worth .1 each while nickels are .05 each.

We have 8 more dimes than nickels. Let d represent number of dimes and n for number of nickels. This means we have d=8+n.

If all our nickels and dimes together are worth 1.4 then we have another equation .1d+.05n=1.4

Lets put our equations together:

d=8+n

.1d+.05n=1.4

‐-----------------Plug first equation into second.

.1(8+n)+.05n=1.4

Distribute

.8+.1n+.05n=1.4

Combine like terms

.8+.15n=1.4

Subtract .8 on both sides

.15n=.6

Divide both sides by .15

n=.6/.15=4

Remember there are 8 more dimes so d=8+4=12.

5 0
2 years ago
A 2-column table has 8 rows. The first column is labeled Statements with entries angle A B C is right angle, Line segment D B bi
ycow [4]

Answer:

A. Given

B.Measure of ABC=90

C.Angle addition Prostulate

D.2 times the measure of angle CBD=90

Step-by-step explanation:

3 0
2 years ago
Let f be the function given by f(x)=3xsinx. What is the average value of f on the closed interval 1≤x≤7 ?
Hoochie [10]

Answer:

-2.92178

Step-by-step explanation:

Given the function f(x)=3x\ sin x

The average,A is calculated using the formula;

A=\frac{1}{b-a}\int\limits^a_b F(x)\, dx \\\\A=\frac{1}{7-1}\int\limits^7_1 3x \ Sin \ x\, dx \\\\\\=\frac{3}{6}\int\limits^7_1 x \ Sin \ x\, dx \\\\\#Integration\  by\  parts, u=x, v \prime=sin(x)\\=0.5[-xcos(x)-\int-cos(x)dx]\limits^7_1\\\\=0.5[-xcos(x)-(-sin(x))]\limits^7_1\\\\=0.5[-xcos(x)+sin(x)]\limits^7_1\\\\=0.5[-6.82595--0.98240]\\\\=-2.92178

Hence, the average of the function is -2.92178

8 0
2 years ago
4400 dollars is placed in an account with an annual interest rate of 8.25%.how much will be in the account after 22 years, to th
iVinArrow [24]

Answer:

Future Value = $2,516,900 cent

Step-by-step explanation:

Here, we're to calculate future values;

Given the following parameters

Investment = $4,400

Interest Rate = 8.25%

Time = 22 years

Amount = ?

Future Value is calculated using the following formula;.

Future Value = Investment * (1 + Interest Rate)^time

Substitute each value;

Future Value = $4,400 * ( 1 + 8.25%)^22

Future Value = $4,400 * (1 + 0.0825)^22

Future Value = $25169.036295801178201749433678664198539199704088854443412123828238691203296184539794921875

Future Value = $25169 --- Approximated

Convert to Cent

Future value = $25,169 * 100 cent/$

Future Value = $2,516,900 cent

Hence, $2,516,900 cent will be in the account after 22 years

6 0
2 years ago
Karla, an editor for “The Legacy” newspaper, edits 15 of a page in 3 minutes. How long would it take Karla to edit 3 pages?
artcher [175]
She edits 3 pages in a minute, so it would take her one minute
3 0
2 years ago
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