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Mars2501 [29]
3 years ago
10

Need help with 35 thank you so much!!

Mathematics
1 answer:
Yakvenalex [24]3 years ago
3 0

If a pentagon is regular, then all of the sides are the same length. This means that

5x-4=2x+11 \iff 5x-2x = 11+4 \iff 3x=15 \iff x = 5

So, if x=5, the lengths of the sides evaluate to

5x-4 = 25-4=21,\quad 2x+11=10+11=21

So, all the sides of the pentagon are 21 units long, and AB is 21 units long as well, because all sides are the same length.

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Consider a civilization broadcasting a signal with a power of 2.0×104 watts. The Arecibo radio telescope, which is about 300 met
Vitek1552 [10]

For light: Inverse Square Law 

<span>
The signal is weaken by the inverse square of the difference of distances this means that one over the square of the difference. </span>

<span>
</span>

Therefore, 70000LY / 141 LY =496.45 and that squared =246462.602 times less signal, or 1/246462.602.


 2 For a circular telescope like the Arecibo radio telescope that equals Pi times the radius squared. Sensitivity of the telescope depends on its area.<span>
The new telescope needs 246462.60 times that area to have enough sensitivity </span>

<span>
<span>(150 x 150 x Pi) = 70 685 sq m area for the Arecibo telescope and that times 246462.60
= 1.74212 x 10^10</span></span>

<span><span>
</span></span>

What is the diameter of a circle with that area?

 <span>
<span>1. Divide the area by Pi = 5.548156 x 10^9
2. Take the square root of the result to find the radius = 74485.94293</span></span>

3. Multiply by 2 to find the diameter = <span>148971.886</span>

7 0
3 years ago
Evaluate the expression. 8 + 12 • 7
arsen [322]
Multiply first, then add. 12 times 7 = 84. Then add 8. 84 + 8 = 92.
5 0
3 years ago
Read 2 more answers
A hockey season ticket holder pays $88.56 for her tickets plus $5.00 for a program each game. A second person pays $19.76 for a
Aleksandr-060686 [28]

Answer: x = 6

Step-by-step explanation: If you take 88.56 + 5x = 19.76x, an equation, you should first rearrange the variables to the left side of the equation: 5x - 19.76x = -88.56.

Next, you should combine your like terms. So, -14.76 = -88.56.

Then, divide both sides of the equation by the coefficient of variable. So, x = -88.56 / -14.76./

Lastly, calculate. Determine the sign for multiplication or division, so x = 88.56 / 14.76. Multiply both the numerator and denominator with the same integer. So, x = 8856 / 1476. Cross out the common factor, then you get your answer of x = 6

5 0
2 years ago
Based on the graph, which inequality is correct for a number that is to the right of -4
Anon25 [30]

2 > -4

2 is greater than -4

3 0
3 years ago
A recipe for beef stew calls for 1 pound of beef and 3 potatoes the recipe is doubled to include 2 pounds of beef and 6 potatoes
Lerok [7]

Pounds of beef and potatoes are in ratio or proportion of \frac{1}{3} .

<u>Step-by-step explanation:</u>

Correct Question: A recipe for beef stew calls for 1 pound of beef and 3 potatoes. The recipe is doubled to include 2 pounds of beef and 6 potatoes. Which proportion represents the situation?

We have , A recipe for beef stew calls for 1 pound of beef and 3 potatoes , i.e.

Number of beef stew calls = 1

Number of potatoes = 3

Now , The recipe is doubled to include 2 pounds of beef and 6 potatoes i.e. for every 2 pounds of beef we have 6 potatoes

⇒ 2/6

⇒ \frac{2}{6}

⇒ \frac{2}{2(3)}

⇒ \frac{1}{3}

Therefore , Pounds of beef and potatoes are in ratio or proportion of \frac{1}{3} .

4 0
2 years ago
Read 2 more answers
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