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enyata [817]
3 years ago
13

The front of a dog house is in the shape of a isosceles triangle. If the sides measuring 4 feet and the base of the house is 6 f

eet long. Find the height of the doghouse.
Mathematics
1 answer:
kirill [66]3 years ago
6 0

Answer: \sqrt{5} feet

Step-by-step explanation: Since it's an isosceles triangle, we can split it into  two right triangles. Now we have two right triangles with a hypotenuse of 4 and one side length of 3. To solve for the other side length (the height), we can use the Pythagorean theorem. 4^{2}  = 3^{2} + h^{2} where h is the height of the dog house. Solving for h, we get the answer of \sqrt{5} feet

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Naya [18.7K]

Answer:

<h2>x = -2 or x = 5</h2>

Step-by-step explanation:

The quadratic formula of a quadratic equation

ax^2+bx+c=0\\\\\text{If}\ b^2-4ac>0\ \text{then the equation has two solutions}\ x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}

\text{If}\ b^2-4ac=0\ \text{then the equation has one solution}\ x=\dfrac{-b}{2a}

\text{If}\ b^2-4ac

We have:

x^2-3x-10=0\to a=1,\ b=-3,\ c=-10\\\\b^2-4ac=(-3)^2-4(1)(-10)=9+40=49>0\\\\x=\dfrac{-(-3)\pm\sqrt{49}}{2(1)}=\dfrac{3\pm7}{2}\\\\x=\dfrac{3-7}{2}=\dfrac{-4}{2}=-2\\or\\x=\dfrac{3+7}{2}=\dfrac{10}{2}=5

5 0
3 years ago
Wallace has a $50 bill. Pizza pies cost $12.25 each. If p represents the number of pizzas he buys, write an expression for the c
elena-14-01-66 [18.8K]
He buys 4 pizzas oml that’s 20 characters now
6 0
3 years ago
Please I need help !!!
makkiz [27]

Answer:

Step-by-step explanation:

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5 0
3 years ago
Daniel is dring a truck at a constant speed. The table shows the distance traveled depending on time.
Alona [7]

Answer:

A,D,F

Step-by-step explanation:

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4 0
3 years ago
Suppose the probability of an irs audit is 2.8 percent for U.S. taxpayers who file form 1040 and who earn 100,000 or more. What
stiks02 [169]

Answer:

So, the odds that a taxpayer would be audited 28 to 972 or 2.88%

Step-by-step explanation:

Given

Let P(A) = Probability of irs auditing

P(A) = 2.8%

Let n = number of those who earn above 100,000

To get the odds that taxpayer would be audited, we need to first calculated the proportion of those that will be audited and those that won't.

If the probability is 2.8% then 2.8 out of 100 will be audited. That doesn't make a lot of sense since you can't have 2.8 people; we multiply the by 10/10

i.e.

Proportion, P = 2.8/100 * 10/10

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The proportion of those that would not be audited is calculated as follows;

Q = 1000 - P

By substituton

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So, the odds that a taxpayer would be audited 28 to 972 or P/Q

P/Q = 28/972

= 0.0288065844

= 2.88% --- Approximately

3 0
3 years ago
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