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4 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]4 years ago

8 0

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

antoniya [11.8K]4 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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Let ρ = x3 + xe−x for x ∈ (0, 1), compute the center of mass.

hram777 [196]

The center of mass is mathematically given as

$\bar{x}=\left(\frac{44 e-100}{25 e-40}\right)\end{aligned}$

<h3>What is the center of mass.?</h3>

Determine the center of mass in one dimension:

Represent the masses at the respective distances.

$\begin{|c|c|} Masses \ & \ \ \ \ \ \ \ \ \ \ \ \ \ \ Located at \\\rho=x^{3}+x \cdot e^{-x} & \ \ \ \ x \in(0,1)$ \\\end$

We calculate the total mass of the system.

$\begin{aligned}m &=\int_{0}^{1} \rho \cdot d x \\& m =\int_{0}^{1}\left(x^{3}+x \cdot e^{-x}\right) \cdot d x \\&m =\left|\frac{x^{4}}{4}-(x+1) e^{-x}\right|_{0}^{1} \\&m =\left(\frac{5}{4}-\frac{2}{e}\right)\end{aligned}$

Step 03: Calculate the moment of the system.

$\begin{aligned}M &=\int_{0}^{1}(\rho \cdot x) \cdot d x \\& M=\int_{0}^{1}\left(x^{4}+x^{2} \cdot e^{-x}\right) \cdot d x \\&M =\left|\frac{x^{5}}{5}-\left(x^{2}-2 x+2\right) \cdot e^{-x}\right|_{0}^{1} \\&M=\left(\frac{11}{5}-\frac{5}{e}\right)\end{aligned}$

we calculate the center of mass.

$\begin{aligned}\bar{x} &=\left(\frac{M}{m}\right) \\& \bar{x}=\left\{\left(\frac{\left.11-\frac{5}{5}\right)}{\left(\frac{5}{4}-\frac{2}{e}\right)}\right\}\right.\\& \bar{x}=\left(\frac{11 e-25}{5 e}\right) \cdot\left(\frac{4 e}{5 e-8}\right) \\&\bar{x}=\left(\frac{44 e-100}{25 e-40}\right)\end{aligned}$

Read more about the center of mass.

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2 years ago

What is the length of (AB)?

earnstyle [38]

AB = 4 units
BC = 8 units
perimeter = 2(l+b) = 2(8+4) = 2(12) = 24 units

hope it helps...!!!

3 0

2 years ago

Read 2 more answers

Please help! I’ve tried every site and nothing has helped<br><br><br>The answer is 11.8

melamori03 [73]

Answer:

11.8%

Step-by-step explanation:

Here in this question, we want to find the probability of no success in the binomial experiment for 6 trials.

Let p = probability of success = 30% = 30/100 = 0.3

q = probability of failure = 1-p = 1-0.3 = 0.7

Now to calculate the probability, we shall need to use the Bernoulli approximation of the binomial theorem.

That would be;

P(X = 0) = 6C0 p^0 q^6

6C0 is pronounced six combination zero

= 6 * 0.3^0 * 0.7^6 = 1 * 1 * 0.117649 = 0.117649

This is approximately 0.1176

If we convert this to percentage we have 11.76%

But we want our answer rounded to the nearest tenth of a percent and that is 11.8%

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3 years ago

Mikayla's mom told her she will make her a special dinner if she scores 80% on her

OLga [1]

Answer:

Step-by-step explanation:

80% of 25 is 20, even if you put it into a calculator

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3 years ago

Determine the percentage increase from 10 yards to 13 yards

julia-pushkina [17]

Answer:

30%

Step-by-step explanation:

In this case, we have a positive change (increase) of 30% because the new value is greater than the old value. Using this tool you can find the percent increase for any value.

Hope this helps!

Brain-list?

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3 years ago