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soldier1979 [14.2K]
3 years ago
6

The area of this parallelogram is 24 square units the base is 8 units what is the height of the figure

Mathematics
1 answer:
SOVA2 [1]3 years ago
4 0
24 / 8 = 3 is the answer.
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√x+3=x-3 <br> a-{6}<br> b-{6,13}<br> c-{1,13}<br> d-{1,6}
ipn [44]

Answer:

d-{1,6}

Step-by-step explanation:

See the picture section.

6 0
2 years ago
The front of an A-frame cabin in a national park is the shape of a triangle with an area of 564 ft.² if the height is 1 feet les
aleksandrvk [35]

Answer:

Base = 24 ft; height = 47 ft  

Step-by-step explanation:

The formula for the area of a triangle is

A = ½bh

Let x = the base. Then

2x - 1 = the height

\begin{array}{ccc}A & = & \dfrac{1}{2}bh\\\\564 & = & \dfrac{1}{2}x(2x - 1)\\ \\1128 & = & x(2x - 1)\\& = & 2x^{2} - x\\2x^{2} - x - 1128 & = & 0\\(2x + 47)(x - 24) & = & 0\\2x + 47 = 0 &\qquad & x - 24 = 0\\2x = -47 & \qquad & x = \mathbf{24}\\x = -23.5 & \qquad & \\\end{array}

We reject the negative value, so x = 24 ft

Base = x = 24 ft

Height = 2x - 1 = 2(24)-1 = 48 - 1 = 47 ft

Check:

564 = ½ × 24 × 47

564 = 564

OK

3 0
3 years ago
Expression equivalent to 5(3m + n)
skelet666 [1.2K]

Answer:

Step-by-step explanation:

5(3m + n) = 15m + 5n

3 0
3 years ago
If one of the 255 subjects is randomly selected, find the probability that the person is over 40 and prefers cola.
alekssr [168]

The probability that the person is over 40 and prefers cola exists at 1.3725.

<h3>What is probability?</h3>

The probability of an event exists in the ratio of the size of the event space to the size of the sample space.

The size of the sample space exists the entire number of possible outcomes.

The event space exists the number of outcomes in the event you exists interested in.

So, P = size of the event space/size of the sample space

To estimate the probability that the person exists over 40 years.

Size of the sample size = 255

Size of the event space = 85

P = 85/255

P = 1/3

To estimate the probability that they drink cola.

Size of the sample size = 255

Size of the event space = 95

P = 95/255

P = 19/51

To estimate the probability that the person exists over 40 years of age or that they drink cola

So, P = (1/3) + (19/51)

$P = (51*3+3*19)/153

P = 1.3725

Therefore, the probability that the person is over 40 and prefers cola exists at 1.3725.

To learn more about probability refer to:

brainly.com/question/10615685

#SPJ4

8 0
2 years ago
F(x)=5(14x+3)2, find f(−8)
NeTakaya

Answer:

-1090

Step-by-step explanation:

14(-8) + 3 = -109

-109 times 5 = -545

-545 times 2 = -1090

8 0
4 years ago
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