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Romashka [77]
3 years ago
6

2.

Mathematics
1 answer:
garri49 [273]3 years ago
5 0

Answer:

D

Step-by-step explanation:

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caleb and emily are standing 100 yards from each other. caleb looks up at a 45 degree angle to see a hot air balloon. Emily look
Sunny_sXe [5.5K]
Check the picture below.

thus then

\bf \begin{cases}
y=100-a\\
y=a\sqrt{3}
\end{cases}\implies 100-a=a\sqrt{3}\implies 100=a+a\sqrt{3}
\\\\\\
100=a(1+\sqrt{3})\implies \boxed{\cfrac{100}{1+\sqrt{3}}=a}
\\\\\\
\textit{what is the altitude \underline{y} then?}\qquad y=100-a
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y=100-\cfrac{100}{1+\sqrt{3}}\implies y\approx 63.39745962156~yards

8 0
3 years ago
Read 2 more answers
Carla has 1 gallon of paint. She is going to pour it into a paint tray that measures 10 inches wide, 10 inches long, and 7 cm de
STatiana [176]
To determine the correct statement in the choices presented, we first have to solve the area of the tray. We assume it to be in a rectangular form so the area is:

Area = 10 in x 10 in x 7/2.54 in = 275.59 in³ for the paint tray
1 gallon paint = 231 in³ paint

Therefore, the correct answer is the first option. <span>The paint will not fill the tray by 44.59 in</span>³<span>.</span>
7 0
2 years ago
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You repay a bank $480 in three months for a loan. What are your monthly payments to the bank?
insens350 [35]

Answer:

160 dollars per month

Step-by-step explanation:

Well you know the total amount paid is 480 dollars and payments are made once a month for three months.

Divide 480 by three to find the amount paid per month

480/3=160

160 dollars per month

7 0
3 years ago
last weekend, 5% of the tickets sold at sea world were discount tickets. If sea world sold 60 tickets in all, how many discount
Ronch [10]
The percent proportion is a/b = p/100, where p is the percentage of the total fraction on the left side of the equation that you are trying to figure out.

We know that p=5, because p represents percentage, and the percentage 5% is equal to the fraction 5/100.  Also, we know that 60 = b, or the denominator as this is the entire portion that we are trying to figure out.

a/60=5/100

Now, we need to use cross products, or multiplying the numerator of one fraction by the denominator of the other, and setting them equal to one another.

100 * a = 60 * 5

If we simplify by multiplying, then we get the equation:

100a = 300

When we divide the variable by the coefficient, we get the equation

a=3

Therefore, sea world sold 3 discount tickets.

5 0
2 years ago
The drawing plan for an art studio shows a rectangle that is 19.2 inches by 8 inches. The scale in the plan is 4 in.: 5 ft. Find
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