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antoniya [11.8K]
2 years ago
13

Square MATH is shown at the right. Assume its vertices have integer coordinates. What are the coordinates of the midpoint of the

diagonal from H to A?​

Mathematics
1 answer:
Mariana [72]2 years ago
8 0

Answer: F(-0.5,-0.5)

Step-by-step explanation:

A(3,3)      H(-4,-4)

The coordinates of the midpoint of the diagonal AH F(x,y):

\displaystyle\\F(x,y)=(\frac{3+(-4)}{2} ,\frac{3+(-4)}{2} )\\\\F(x,y)=(\frac{3-4}{2} ,\frac{3-4}{2})\\\\F(x,y)=(\frac{-1}{2},\frac{-1}{2})\\\\F (x,y) =(-0.5,-0.5)

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Hans deposits $6000 into an account that pays simple interest at a rate of 5% per year. How much interest will he be paid in the
SpyIntel [72]

Answer:

Hans deposits $6000 into an account.

=> Principal P = 6000

Simple interest rate 5% per year.

=> Rate R = 5% = 5/100 = 0.05

The formula to calculate the amount of interest after 4 years:

A = P x R x years = 6000 x (5/100) x 4 = 1200$

Hope this helps!

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3 0
3 years ago
Determine which of the following numbers could not be​ probabilities, and​ why? Select all that apply. A. The number 110​% could
Gnoma [55]

Answer:

A, B and E could not be probabilities

Step-by-step explanation:

By definition, <u>a probability could be any number between 0 and 1. </u>So a probability P would be 0≤P≤1. In percentages, 0% ≤ P ≤ 100%

Considering this we would have that:

A) 110% could not be a probability because it's larger than 100%

B) 5.42 could not be a probability because it's larger than 1.

C) 0.001 could be a probability because it's larger than 0 and smaller than 1 (It doesn't matter how small it is)

D) 0.58 could be a probability because it's between 0 and 1.

E) -120% could not be a probability because it's smaller than zero. (it's a negative number)

Thus, A), B) and E) could not be probabilities.

3 0
3 years ago
On the beach, a cable is attached to the pier. The line formed by the cable has a slope of 3/5. Is the triangle formed by the pi
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Step-by-step explanation:

5 0
3 years ago
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What is the surface area of this
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814 in ^2

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8 0
3 years ago
Solve the proportion K/7 = 32/56 K=
Debora [2.8K]
If it i set up like this just multiply the opposite corners.

<u /><u>k</u> = <u>32</u>
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So multiply k * 56 and multiply 7 * 32.

Now you should have 56K = 224.

To solve for K, divide both sides by 56 to get K by itself.

Final Answer: K=4.
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3 years ago
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