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horsena [70]
3 years ago
7

A garden in the shape of a trapezoid has an area of 44.4 square

Mathematics
1 answer:
Leviafan [203]3 years ago
5 0

Answer:

37 meters

Step-by-step explanation:

The equation for the area of a trapezoid is A=\frac{a+b}{2} +h.

Here, a = 4.3, b=10.5, and h is unknown.

44.4=\frac{4.3+10.5}{2} +h

44.4=\frac{14.8}{2} +h

44.4=7.4 +h

37 = h

The height of the trapezoid is the width of the garden, so the garden is 37 meters wide.

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Identify the middle line for the function: f (t) = 5sec(3t − π) + 1
sergiy2304 [10]
Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.

<span>(t) = 0 gives
</span><span>-24t + 60 = 0
</span><span>t = 2.5
</span><span>For this t, the second derivative s"(t) = -24 is negative. And so, s(t) is maximum for t = 2.5.
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3 years ago
Factories the following<br> 5a + 5b
iragen [17]

Answer:

5(a+b)

Step-by-step explanation:

5(a)+5(b)

5(a+b)

4 0
3 years ago
Read 2 more answers
Peter works as a delivery person for a bike shipping company. The graph shows a linear model for his delivery times on different
aev [14]

Answer/Step-by-step explanation:

✍️The equation of the line in point-slope form:

The equation is given as y - b = m(x - a), where,

(a, b) = a point on the line.

slope (m) = \frac{y_2 - y_1}{x_2 - x_1}

Let's find the slope (m) of the line, housing (3, 21) and (6, 12):

slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{12 - 21}{6 - 3} = \frac{-9}{3} = -3

Substitute a = 3 and b = 21, m = -3 into y - b = m(x - a).

Thus, the point-slope equation would be:

✅y - 21 = -3(x - 3)

✍️The equation of the line in slope-intercept form:

Rewrite y - 21 = -3(x - 3), so that y is made the subject of the formula.

y - 21 = -3x + 9

Add 21 to both sides

y = -3x + 9 + 21

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✅The slope-intercept equation of the line is y = -3x + 30

Where,

-3 = how much did his delivery time decrease per day (slope)

30 = how long it initially took Peter to deliver his packages (y-intercept)

5 0
3 years ago
QUESTION #1 - Probability
Olin [163]

Answer:

<em>C. 1/60</em>

Step-by-step explanation:

Probability of 3 on a cube: 1 / 6

Probability of 9 from cards 1-10: 1/10

1/6 x 1/10 = 1/60

7 0
2 years ago
A population of voters contains 40% republicans and 60% democrats. it is reported that30% of the republicans and 70% of the demo
Blizzard [7]

To get the probability of selecting a person who is a democrat and is favour to the issue, let us first calculate for the portions in each party who is favour on the issue.

 

p (rep & favour) = 0.4 * 0.3 = 0.12

 

p (dem & favour) = 0.6 * 0.7 = 0.42

 

Therefore the total portions who are favour is:

p (favour) = 0.12 + 0.42 = 0.54

 

Hence the probability is:

P (dem & favour) = 0.42 / 0.54 = 0.7778 = 0.78

 

Therefore there is about 78% probability that the person selected who is favour to the issue is a democrat.

5 0
3 years ago
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