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Alika [10]
2 years ago
7

The table shows the approximate distances between some of the objects in our solar system.

Mathematics
1 answer:
qaws [65]2 years ago
5 0

Answer:

12 times

Step-by-step explanation:

Earth-Moon (EM) = 12⁵ miles

Sun-Mercury (SM) = 12⁷ miles

Sun-Jupiter (SJ) = 12⁸ miles

just FYI, these numbers are only a rough simplification for this example. the real distance are quite a bit different.

so, SJ/SM = 12⁸ / 12⁷ = 12¹ = 12

=> Jupiter is 12 times farther away from the Sun than Mercury.

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Find the area of the polygon​
Evgesh-ka [11]

Answer:

784m^2

Step-by-step explanation:

is a rectangle with sides of 40m and 20m, in the upper right corner a right triangle has been removed with the legs of: 40 - 32 = 8m and 20 - 16 = 4m, we find the area of ​​the rectangle (b * h).

40 * 20 = 800m ^ 2, then we find the area of ​​the right triangle

1/2 b * h: 1/2 8 * 4 = 16 m ^ 2.

we remove the area of ​​the triangle from the rectangle and we have the area of ​​the figure: 800 - 16 = 784m^2

3 0
1 year ago
A jar contains 6 yellow marbles, 4 black marbles, and 2 purple marbles. Two marbles are picked at random, without replacement. W
ludmilkaskok [199]

Answer:

The probability of selecting both yellow is 5/22.

Step-by-step explanation:

Given the number of yellow marbles = 6

Black marbles = 4

Purple marble = 2

Now find the total number of marbles in the jar.

Thus total marbles = Yellow marbles + Black marbles  + Purples marble

Now insert the values in the above formula.

Total marbles = 6 + 4 + 2

Total marbles = 12

The probability of 2 yellow marble:

= \frac{6}{12} \times \frac{5}{11} \\= \frac{5}{22}

Thus, the probability of selecting both yellow is 5/22.

3 0
3 years ago
Y = -x+5y=−x+5y, equals, minus, x, plus, 5
Serga [27]
The answer is D
Hope this hel
6 0
2 years ago
Find the number b such that the line y = b divides the region bounded by the curves x = y^2 − 1 and the y-axis into 2 regions wi
77julia77 [94]
Because of the symmetry, we can just go from x=0 to x=2 to find the area between 
<span>y = x^2 and y = 4 </span>

<span>that area = ∫4-x^2 dx from 0 to 2 </span>
<span>= [4x - (1/3)x^3] from 0 to 2 </span>
<span>= 8 - 8/3 - 0 </span>
<span>= 16/3 </span>

<span>so when y = b </span>
<span>x= √b </span>
<span>and we have the area as </span>
<span>∫(b - x^2) dx from 0 to √b </span>
<span>= [b x - (1/3)x^3] from 0 to √b </span>
<span>= b√b - (1/3)b√b - 0 </span>

<span>(2/3)b√b = 8/3 </span>
<span>b√b =4 </span>
<span>square both sides </span>
<span>b^3 = 16 </span>
<span>b = 16^(1/3) = 2 cuberoot(2) </span>
<span>or appr 2.52</span>
7 0
3 years ago
Which ordered pair is a solution of the equation y=4x+9
Maru [420]
What are the ordered pairs
3 0
2 years ago
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