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2 years ago

Help ASAP????? Please

Mathematics

1 answer:

galben [10]2 years ago

4 0

Answer:

C. (-5,-1)

E. (10,2)

F. (15,3)

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hope it helps...

have a great day!!

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The height of a triangle is 5 cm shorter than its base. If the area of the triangle is 25 cm2, find the height of the triangle.

Olin [163]

Answer:

$h = 5\ cm$

Step-by-step explanation:

Let's call B at the base of the triangle and call h at the height of the triangle. Then we know that:

The height of a triangle is 5 cm shorter than its base. This means that:

$h = B-5$ .

The area of the triangle is 25 cm²

By definition the area of a triangle is:

$A = 0.5Bh$

For this triangle we know that $A = 25\ cm^2$ and $h = B-5$ . We substitute these values in the equation and solve for B.

$25 = 0.5B (B-5)$

$0.5B ^ 2-\frac{5}{2}B-25 = 0$

Now we use the quadratic formula to solve the equation.

For an equation of the form $ax ^ 2 + bx + c = 0$ the quadratic formula is:

$B=\frac{-b\±\sqrt{b^2-4ac}}{2a}$

In this case note that: $a=0.5,\ \ b=-\frac{5}{2}\ \ c=-25$

Then:

$B=\frac{-(-\frac{5}{2})\±\sqrt{(-\frac{5}{2})^2-4(0.5)(-25)}}{2(0.5)}$

$B=\frac{\frac{5}{2}\±\sqrt{\frac{25}{4}+50}}{1}$

$B=\frac{5}{2}\±\frac{15}{2}$

The solutions are:

$B_1=\frac{5}{2}+\frac{15}{2}=10$

$B_2=\frac{5}{2}-\frac{15}{2}=-5$

For this problem we take the positive solution.

$B=10\ cm$

Now we substitute the value of B in the equation to find the height h

$h = 10-5$

$h = 5\ cm$

6 0

2 years ago

2. What is the arithmetic mean between 35 and 105?

Aleks [24]

Answer:

to get the arithmetic means between 35 and 105 you must add the two and divide it by 2 so 35 + 105 equals to 140 then you divide it by 2 to get 70

6 0

2 years ago

a bell tolls every 10 minutes. another bell tolls every 15 minutes. both bells toll at 6:00pm. they will toll together at what t

Ne4ueva [31]

Basically, we need to find the lowest common multiple of 10 and 15.

that multiply would be 30. That means that the bells will ring together in 30 minutes.
So 30 minutes from 6 p.m. is 6:30 p.m. <==

4 0

3 years ago

Read 2 more answers

Jason purchased a pack of game cards that was on sale for 13% off. The sales tax in his county is 8%. Let y represent the origin

Orlov [11]

The answer will be B. Hope it help!

5 0

2 years ago

Present Value Hoew much shuold be deposited in an account paying 7.8% interest compounded monthly in order to have a balance of

Alisiya [41]

Answer: $15385 should be deposited.

Step-by-step explanation:

The principal was compounded monthly. This means that it was compounded 12 times in a year. So

n = 12

The rate at which the principal was compounded is 7.8%. So

r = 7.8/100 = 0.078

It was compounded for 4 years. Therefore,

t = 4

The formula for compound interest is

A = P(1+r/n)^nt

A = total amount in the account at the end of t years. The total amount is given as $21000. Therefore

21000 = P (1+0.078/12)^12×4

21000 = P (1+0.078/12)^48

21000 = P (1+0.0065)^48

21000 = P (1.0065)^48

P = 21000/1.365

P = $15385

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2 years ago