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Morgarella [4.7K]
3 years ago
6

Find the area of the trapezoid using the formula using the A=1/2h(b1+b2)

Mathematics
1 answer:
pentagon [3]3 years ago
4 0

Answer:

<em><u>9</u></em>

Step-by-step explanation:

  1. <em>1</em><em>/</em><em>2</em><em> </em><em>bh </em><em>(</em><em>b1+</em><em>b2)</em>
  2. <em>Count </em><em>all </em><em>the </em><em>squares </em><em>for </em><em>the </em><em>base </em><em>(</em><em>6</em><em> </em><em>squares)</em>
  3. <em>Half </em><em>it </em><em>bc </em><em>1</em><em>/</em><em>2</em><em>b</em><em>h</em><em>,</em><em> </em><em>which </em><em>is </em><em>not </em><em>3</em><em>(</em><em>h)</em>
  4. <em>Now </em><em>count </em><em>the </em><em>amount </em><em>of </em><em>squares </em><em>to </em><em>the </em><em>top </em><em>of </em><em>it </em><em>from </em><em>the </em><em>bottom </em><em>(</em><em>3</em><em> </em><em>as </em><em>well</em><em>)</em>
  5. <em>Now </em><em>the </em><em>problem </em><em>is </em><em>3</em><em>(</em><em>3</em><em>)</em><em> </em><em>which </em><em>is </em><em>9</em><em>.</em>
  6. <em>So,</em><em> </em><em>the </em><em>answer </em><em>is </em><em><u>9</u></em>

<em><u>Hope </u></em><em><u>this </u></em><em><u>helps!</u></em><em><u> </u></em><em><u>Comment</u></em><em><u> </u></em><em><u>on </u></em><em><u>it </u></em><em><u>if </u></em><em><u>you </u></em><em><u>need </u></em><em><u>more </u></em><em><u>explanation</u></em><em><u>!</u></em><em><u>:</u></em><em><u>)</u></em>

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A cylinder has a volume of 96 pi cubic centimeters and a diameter of 12 centimeters. What is the height of the cylinder in centi
jonny [76]

Answer:

2 2/3 cm

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h

We know the volume =96 pi   and the diameter is 12

We want the radius

r =d/2 = 12/2 =6

96 pi = pi * (6)^2 h

96 pi = 36 pi h

Divide each side by 36 pi

96 pi/36 pi = 36pi h / 36 pi

8/3 = h

Changing from an improper fraction to a mixed number

2  2/3 = h

4 0
3 years ago
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Last year, 46% of business owners gave a holiday gift to their employees. A survey of business owners indicated that 20% plan to
alisha [4.7K]

Answer:

Part a: So the number  of business owners giving holiday gift to their employees from survey is 12.

Part b: p-value is 0.00003

Part c: value of p is less that a we reject the null hypothesis.

Step-by-step explanation:

Part a

number of business owners=20%  x n

number of business owners= 0.2x 60

number of business owners=12

Part b

H0: p=0.46

H1: p<0.46

Here

n=60, \hat{p}=0.2, p=0.46

So test statistics is given as

                        z=\frac{\hat{p}-p}{\sqrt{\frac{p(1-p)}{n}}}\\z=\frac{0.20-0.46}{\sqrt{\frac{0.46(1-0.46)}{60}}}\\z=\frac{-0.26}{0.064}\\z=-4.04

p-value is P(z<-4.04)= 0.00003

Part c

As value of p is less that a we reject the null hypothesis.

4 0
3 years ago
Tell whether the sequence is arithmetic. If it is, what is the common difference? (1 point)
larisa [96]

Since an arithmetic sequence is a sequence of numbers and the difference of any two successive members of the sequence is a constant

So this question is arithmetic because it keep minus by 7

from 19 - 7 = 12

12 - 7 = 5

5 - 7 = -2

so common difference is -7

or you can check with arithmetic formular as

a_{n} = a_{1} + (n−1)d

I will just put in the 4th term which is -2 and n will equal to 4

and a_{1} is the 1st term which is 19

-2 = 19 + (4−1)d

-2 - 19 = 3d

d = \frac{-21}{3}

d = -7

7 0
3 years ago
A club collected $1,085.00. If 75% of that came from membership dues, how much money came from sources other than membership?
bagirrra123 [75]

Answer:

100% - 75% = 25% so the answer is 25% of 1085 = 0.25 * 1085 = $271.25.

8 0
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polet [3.4K]

Answer:

It would take you 9 hours

Step-by-step explanation:

Speed (s) = Distance (d) / Time (t)

given that; Speed = 42 miles/hour

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42 miles/hour = 361 miles / Time (t)

Time (t) * 42 miles/hour = 361 miles

Time (t) = 361 miles / 42 miles/hour

Time (t) = 8.59 hours

             ≈ 9 hours (to the nearest hour)

8 0
3 years ago
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