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Dominik [7]
2 years ago
8

What is the length of the the midsegment of a trapezoid with bases of length 18 and 24?

Mathematics
1 answer:
viktelen [127]2 years ago
4 0

The midsegment of a trapezoid is the segment connecting the midpoints of the two non-parallel sides. In trapezoid below, segment P Q is the midsegment. The length of the midsegment of trapezoid is half the sum of the lengths of the two parallel sides. In the figure above: P Q = A B + C D 2.

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Lily has two times as much money invested in 8% stocks as she has in bonds paying 6%. How much she has invested in stocks if her
EleoNora [17]

Answer:

Final answer is $4440.

Step-by-step explanation:

Let amount of money invested in 8% stock = x

Let amount of money invested in 6% stock = y

then total money invested $325.6 gives equation

8% of x + 6% of y = 325.6

0.08x + 0.06y = 325.6

8x + 6y = 32560...(i)

other equation will be x=2y...(ii)

plug (ii) into (i)

8x + 6y = 32560

8(2y) + 6y = 32560

16y+ 6y = 32560

22y = 32560

y=\frac{32560}{22}

y=1480

plug y=1480 into (ii)

x=2y=2(1480)=2960

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Hence final answer is $4440.

5 0
3 years ago
340 to the nearest 100
mote1985 [20]

Answer:

300

Step-by-step explanation:

5 0
2 years ago
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F(x)=x-14 and g(x)=x^2+14, find (fog)(x)
tatuchka [14]

Answer:

(fog)(x) = x^2

Step-by-step explanation:

Here g(x) = x^2 + 14 becomes the input to f(x):

(fog)(x) = [x^2 + 14] - 14

(fog)(x)  = x^2 (answer)

4 0
4 years ago
Which of the following describes theoretical probability?
kondor19780726 [428]
Hi for the answer is there any backstory or answer key at least?
6 0
3 years ago
In a rectangle, one side is twice as long as another side. The perimeter of this rectangle is how many times as long as his shor
Ede4ka [16]

Answer: 6 times

Step-by-step explanation:

Let the Length of the rectangle be L and the Width be W

Also , let us pick the Length as the longest side , then from the statement

L = 2W

The perimeter of a rectangle is given as :

P = 2 ( L + W )

substitute L = 2W into the formula , we have

P = 2 ( 2W + W )

P = 2 (3W)

P = 6W

Therefore the Perimeter is 6 times as long as the Width

3 0
3 years ago
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