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Artemon [7]
3 years ago
9

Information about five planets is shown in the table below.

Mathematics
1 answer:
Karo-lina-s [1.5K]3 years ago
4 0

Answer:

(a)Jupiter

(b)24.4 km

(c)1.33 \times 10^{27}$ kg

Step-by-step explanation:

<u>Part A</u>

The planet with the greatest ma.ss is Jupiter.

It has a ma.ss of 1.898 X 10^{27}$ kg

<u>Part B</u>

The diameter of Mercury = 4.88 X 10

Radius = Diameter/2

Therefore:

Radius of Mercury

=\dfrac{4.88 X 10}{2}\\ =2.44 X 10\\=24.4$ km

<u>Part C</u>

M$a.ss of Saturn = 5.68 X 10^{26}\\$Mass of Jupiter = 1.898 X 10^{27}\\$Difference in their ma.ss =(1.898 X 10^{27})-(5.68 X 10^{26})\\=1.33 \times 10^{27}$ kg

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Semenov [28]

Answer:

AB = 6.53

Step-by-step explanation:

cos theta = adjacent/ hypotenuse

cos 40 = 5/ AB

AB cos 40 = 5

AB = 5/ cos 40

AB = 6.527036447

Round to the nearest hundredth

AB = 6.53

4 0
3 years ago
Solve using substitution.<br> y = -2<br> -7x - y = -5
Natasha_Volkova [10]

Step-by-step explanation:

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5 0
2 years ago
In the circle, m arc BC = 72°. The diagram is not drawn to scale. <br><br>What is m angle BCP
QveST [7]

Answer:

Measure of ∠BCP is 36°

Step-by-step explanation:

Given the circle in which measure of arc BC is 72°

we have to find the measure of angle BCP.

m∠BOC=∠2=72°

By theorem angle subtended at the centre is twice the angle formed at the circumference of circle.

∴ ∠2=2∠1 ⇒ 72=2∠1

⇒    ∠1=36°

By alternate segment theorem which states that

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Option D is correct

   

5 0
3 years ago
Read 2 more answers
If 2x + 5 = 8x, then 12x = ?A.5B.10C.15D.20
butalik [34]
<h2>Answer:</h2>10.\text{ Option B is correct}

<h2>Explanation:</h2>

Given the equation expressed as:

2x+5=8x

First, we need to calculate the value of "x" from the given expression.

Step 1: Given the equation 2x + 5 = 8x

Step 2: Subtract 5 from both sides:

\begin{gathered} 2x+5-5=8x-5 \\ 2x+\cancel{5}-\cancel{5}=8x-5 \\ 2x=8x-5 \end{gathered}

Step 3: Subtract 8x from both sides

\begin{gathered} 2x-8x=8x-8x-5 \\ -6x=\cancel{8x}-\cancel{8x}-5 \\ -6x=-5 \end{gathered}

Step 4: Divide both sides by -6

\begin{gathered} \frac{-6x}{-6}=\frac{-5}{-6} \\ x=\frac{5}{6} \end{gathered}

Step 5: Get the value of 12x. Substitute x = 5/6 into the expression to have:

\begin{gathered} 12x=12(\frac{5}{6}) \\ 12x=\cancel{12}^2(\frac{5}{\cancel{6}^1}) \\ 12x=2\times5 \\ 12x=10 \end{gathered}

Therefore the value of 12x is 10

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11 months ago
4.80952380952 in fraction form
vladimir2022 [97]

Answer:

77/16

Step-by-step explanation:

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