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viktelen [127]
1 year ago
14

(12) The Earth is one astronomical unit from the

Mathematics
2 answers:
swat321 year ago
7 0

X+5

Y-7

Fractions can someone help me pls

astraxan [27]1 year 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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Kelly ordered 10 pizzas for a party. 30% of the pizzas have 12 slices each. The remaining 70% of the pizzas have 8 slices each.
abruzzese [7]

Answer:

The total number of slices is 92

Step-by-step explanation:

we know that

Kelly ordered 10 pizzas for a party

step 1

30% of the pizzas have 12 slices each

so

The number of pizzas for 30% is equal to

0.30(10)=3 pizzas

The number of slices is

3(12)=36 slices

step 2

70% of the pizzas have 8 slices each

so

The number of pizzas for 70% is equal to

0.70(10)=7 pizzas

The number of slices is

7(8)=56 slices

step 3

Find the total number of slices

36+56=92 slices

8 0
2 years ago
Your school wants to take out an ad in the paper congratulating the basketball team on a successful​ season, as shown to the rig
Serga [27]

Answer:

1.4in

Step-by-step explanation:

Length of Photo = 4in

Width of Photo = 3in

Unknown:

Value of X = ?

Solution:

Follow these steps:

  Area of a rectangle  = l x w

Since the photo is a rectangle; area of photo:

  Area of photo  = 4in x 3in = 12in²

For the area of the ad;

   Length of ad  = 4 + x

   Width of ad = 3 + x

Given that,

                  the area of the photo  = \frac{1}{2} area of ad

                           12in²  = \frac{1}{2} area of ad

                   Area of ad  = 24in²

Area of the ad;

             (4 + x) (3 + x)  = 24

               12 + 4x + 3x + x² = 24

                12 + 7x + x²  = 24

                       x² + 7x = 24 - 12

                       x² + 7x = 12

                     x² + 7x - 12  = 0

            Using the almighty formula where

     a  = 1, b = 7 and c = -12

          x  = \frac{-b (+/-) \sqrt{b^{2} } - 4ac}{2a}

     

          x = \frac{-7 + \sqrt[]{-7^{2} - 4x1x-12 } }{2x1}   or \frac{-7 - \sqrt[]{-7^{2} - 4x1x-12 } }{2x1}

          x  = 1.4  or  -8.4

therefore the answer is 1.4in

x is 1.4in

4 0
1 year ago
Find the area of a regular polygon
Dimas [21]

Answer:

(N-2)x180=sum of interior angles

So (5-2)x180=540

Divided by number of sides=540/4=108... then each angle is 108 divide to triangles ..so they will have 2 angles =54 2 sides =4 the last angle =72 ."of the triangle " area of triangle =1/2xsxsxsin(side in

between)

So 1/2x4x4xsin(72)= then multiply it by 5 as u will have 5 triangles .. so it will be 190.2(probably i tried)

Step-by-step explanation:

4 0
1 year ago
Suppose that we've decided to test Clara, who works at the Psychic Center, to see if she really has psychic abilities. While tal
mixas84 [53]

Answer:

A) 3.5

B) 1.6202

Step-by-step explanation:

In binomial distribution,

E(X) = np and Var(X) = npq while

SD (X) = √(npq)

Where n is number of cards drawn

p is probability of getting one particular shape

q = 1-p

So from the question, n = 14

p = 13/52 = 1/4

q = 1-(1/4) = 3/4

So;

A) E(x) = np = 14 x 1/4 = 3.5

B) SD (X) = √(npq) = √(14 x 1/4 x 3/4) = √(42/16) = √2.625 = 1.6202

4 0
2 years ago
4.19. A study by Peter D. Hart Research Associates for the Nasdaq Stock Market revealed that 43% of all American adults are stoc
postnew [5]

Answer:

P (S∩E)  = 0.1591

Step-by-step explanation:

Let the stockholders be donated by S then the P (s)= 0.43

Let the stockholders having some degree be donated by D then the P (d)= 0.75

Let the American having some college degree be donated by E then the

P (E)= 0.37

As the events are independent their joint probability can be found by multiplying the individual probabilities

P (S∩E)  = P(s) . P (E)= 0.43 * 0.37= 0.1591

8 0
2 years ago
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