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3 years ago

Segment YW is an altitude of triangle XYZ. find the area of the triangle. Z=(5,4), W=(5,-1), Y=(8,-1), X=(5,-3)

Mathematics

2 answers:

UNO [17]3 years ago

8 0

The answer is C. Let me know if it's right :)

antoniya [11.8K]3 years ago

6 0

Answer: C)10.5

Step-by-step explanation:

Using distance formula,

Height of triangle =YW= $\sqrt{(5-8)^2+(-1-(-1))^2}=\sqrt{(-3)^2+(0)^2}=\sqrt{9}=3\ units$

Base of triangle (side opposite to the vertex of triangle from which for altitude is formed)XZ= $\sqrt{(5-5)^2+(4-(-3))^2}=\sqrt{(0)^2+(7)^2}=\sqrt{49}=7\ units$

Thus the area of the triangle= $\frac{1}{2}\times\ base\times\ height$

$=\frac{1}{2}\times3\times7=10.5\ units$

Hence, the area of triangle = 10.5 units

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$=\displaystyle4\pi\int_{v=0}^{v=3}(v^2+4)\,\mathrm dv+2\pi\int_{r=0}^{r=2}r^3\,\mathrm dr+2\pi\int_{r=0}^{r=2}r(r^2+9)\,\mathrm dr$
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The original pulse rates are measure with units of "beats per minute". what are the units of the corresponding z scores? choo

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Pulse rates of women are normally distributed with a mean of 77.5 beats per minute and a standard deviation of 11.6 beats per minute. The original pulse rates are measure with units of "beats per minute". What are the units of the corresponding z scores? Choose the correct choice below.

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C. The z scores are measured with units of "beats."

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