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enot [183]
4 years ago
8

The vertices of a triangle are A(0, 0), B(3, 8), and C(9, 0). What is the area of this triangle?

Mathematics
2 answers:
Harlamova29_29 [7]4 years ago
8 0
Answer: 36 units squared.


Explanation:
Area of a traingle is given by,

| 0.5{x1(y2-y3) + x2(y3-y1) + x3(y1-y2)} |

Accepting the values of the coordinates in x's and y's,

x1 =0, y1=0

x2=3, y2=8

x3 =9, y3=0

= | 0.5 × (-72)|
= 36 unit squared.
schepotkina [342]4 years ago
7 0

Answer:

36

Step-by-step explanation:

(formula for area for coordinates geometry is applied)

1/2|( put in the coordinates tht they give u) |

1/2|-72|

1/2 (72)

=36

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A manufacturer of golf equipment wishes to estimate the number of left-handed golfers. A previous study indicates that the propo
never [62]

Answer:

A sample of 997 is needed.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the z-score that has a p-value of 1 - \frac{\alpha}{2}.

The margin of error is of:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

A previous study indicates that the proportion of left-handed golfers is 8%.

This means that \pi = 0.08

98% confidence level

So \alpha = 0.02, z is the value of Z that has a p-value of 1 - \frac{0.02}{2} = 0.99, so Z = 2.327.  

How large a sample is needed in order to be 98% confident that the sample proportion will not differ from the true proportion by more than 2%?

This is n for which M = 0.02. So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.02 = 2.327\sqrt{\frac{0.08*0.92}{n}}

0.02\sqrt{n} = 2.327\sqrt{0.08*0.92}

\sqrt{n} = \frac{2.327\sqrt{0.08*0.92}}{0.02}

(\sqrt{n})^2 = (\frac{2.327\sqrt{0.08*0.92}}{0.02})^2

n = 996.3

Rounding up:

A sample of 997 is needed.

3 0
3 years ago
Graph the following linear function.<br> f(x) = 1/6x+3
Black_prince [1.1K]
Y-axis is 3
x-axis is -18

4 0
2 years ago
The price has changed from 125$ to 75$. By how much percent did it change
Firlakuza [10]

Answer:

-40 %

Step-by-step explanation:

((y2 - y1) / y1)*100 = your percentage change

(where y1=start value and y2=end value)

((75 - 125) / 125) * 100 = -40 %

The percentage change from 125 to 75 is -40 %

6 0
3 years ago
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777 watermelons cost \$8.96$8.96dollar sign, 8, point, 96.
julia-pushkina [17]

Answer:

a)

Step-by-step explanation:

x/5 = $8.96/7 a)

5 0
3 years ago
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The answer will be 3.12
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3 years ago
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