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Elodia [21]
3 years ago
5

What is the probability that a 44% free throw shooter will miss her next free throw?

Mathematics
1 answer:
stellarik [79]3 years ago
3 0
The probability is 56/100 or 56%. Because they only got 44% of their previous throws, the probability that they'll miss the next one is 56%.
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The perimeter of a triangle is 510 feet and the sides are in the ratio of 11:16:24. Find the area of the triangle
Nutka1998 [239]

If the sides are in the ratio of 11:16:24, it means that they are all multiples of a same number x, according to these factors.

So, the shorter side is 11x feet long, the middle one is 16x feet long, and the longest side is 24x feet long.

This means that the perimeter is

11x+16x+24x = 51x feet long. But we know that this is 510 feet, so we have

51x = 510 \implies x = \cfrac{510}{51} = 10.

So, the three sides are 110, 160 and 240 feet long.

To find the area of a triangle knowing its three sides, you can use Heron's formula, which states that, if s is half the perimeter of the triangle whose sides are a,b,c, the area A is given by

A = \sqrt{s(s-a)(s-b)(s-c)}

In our case, s = 255, a = 110, b = 160, c = 240 so the formula becomes

A = \sqrt{255(255-110)(255-160)(255-240)} = \sqrt{255(145)(95)(15)} = \sqrt{52689375} \approx 7258.74

5 0
3 years ago
Find the area of the triangle belowunits given are cm, cm^2, cm^3
zloy xaker [14]

Answer:

A_T=150cm^2

Explanation: We need to find the area of the triangle, We know that the area of any right triangle is:

A_T=\frac{1}{2}(b\times h)

Therefore in the information given we have the following:

\begin{gathered} h=20\operatorname{cm} \\ b=15\operatorname{cm} \end{gathered}

Therefore the Area of this triangle is as follows:

\begin{gathered} A_T=\frac{1}{2}(b\times h) \\ \therefore\rightarrow \\ A_T=\frac{1}{2}(20cm\times15cm)=\frac{1}{2}(20\times15)cm^2 \\ A_T=\frac{1}{2}(300)cm^2=150cm^2 \\ \therefore\rightarrow \\ A_T=150cm^2 \end{gathered}

Note! Units are centimeter-squared

4 0
1 year ago
PLEASE HELP ASAP 30 POINTS ):
ladessa [460]

Answer:

c (0,-4)

Step-by-step explanation:

-5x+y = -4

4x - 4y =16

Solve the first equation for y since we are using substitution.

-5x+y = -4

Add 5x to each side

-5x+5x+y = -4+5x

y = 5x-4

Substitute this equation y = 5x-4 into the second equation.

4x -4(5x-4) = 16

Distribute the -4

4x - 4(5x) -4(-4) = 16

4x-20x +16 = 16

Combine like terms

-16x +16 =16

Subtract 16 from each side

-16x+16-16 = 16-16

-16x =0

Divide by -16

x=0


But we still need to find y

y = 5x-4

y = 5(0) -4

y = -4

5 0
3 years ago
**Round to the nearest tenth Level ll: John missed 14 points on an 80 point science test. What percentage did he get?​
Dennis_Churaev [7]

Answer:

82.5% = 66/80

6 0
3 years ago
The revenue, in dollars, of a company that makes toy cars can be modeled by the polynomial 3x2 + 4x – 60. The cost, in dollars,
Tems11 [23]

For this case we have the following quadratic functions:

Revenue: 3x ^ 2 + 4x - 60

Cost: 3x ^ 2 - x + 200

Then, we observe that the profit is given by the following mathematical relationship:

Profit = Revenue - Cost

Substituting values we have:

Profit = (3x ^ 2 + 4x - 60) - (3x ^ 2 - x + 200)

Making the corresponding calculations we have:

Profit = x ^ 2 (3-3) + x (4 + 1) + (-60-200)\\Profit = 5x - 260

Answer:

An expression that represents the profit is:

Profit = 5x - 260

4 0
3 years ago
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