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2 years ago

Please help me with this

Mathematics

1 answer:

tekilochka [14]2 years ago

8 0

Answer:

CD= 34

Step-by-step explanation:

As CD is the diameter the circle divides to half and point E is on the circle ∴∠CED =90° (angle of a semi circle)

as CD is the diameter it would be the lengthiest of all ∴ CD is hypotenuse

so $CD =\sqrt{16^{2} + \sqrt{30^{2} } } }$

= CD= $\sqrt{256+900}$

=CD= $\sqrt{1156}$

∴CD=34

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denis23 [38]

Answer:

$B = 325$

Step-by-step explanation:

Given

Total = 900

Singing = 600

Dancing = 500

None = 125

Required

Determine the number of students that participate in both

Representing; Singing with S, Dancing with D, Both singing and dancing with B and None with N;

In Set Notation;

$Total = (S - B) + (D - B) + N + B$

Substitute 900 for Total, 600 for S, 500 for D and 125 for N

$900 = (600 - B) + (500 - B) + 125$

Open Brackets

$900 = 600 - B + 500 - B + 125 + B$

Collect Like Terms

$900 = 600 + 500 + 125 - B - B + B$

$900 = 1225- B - B + B$

$900 = 1225- B$

Collect Like Terms

$900 - 1225 = -B$

$-325 = -B$

Multiply both sides by -1

$-1 * -325 = -B * -1$

$325 = B$

Reorder

$B = 325$

<em>Hence, the number of students that do not participate in both is 325</em>

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In a survey of more than 6000 people are 95% of the respondents claimed to prefer Penelope‘s puffy popcorn over any other brand

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Answer:

B. People who were promised free samples of Penelope‘s puffy popcorn for completing the survey

Step-by-step explanation:

This would show likely bias in the result of the survey

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1 year ago

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2 years ago

Read 2 more answers

Help me guys! 50 points!

timama [110]

Answer:

The volume of the irregular figure would be 144 $cm^3$ .

Step-by-step explanation:

If you wish to make the process of calculating the volume easier, you can picture the irregular figure as two rectangular prisms: the large one on the bottom, and the smaller one appearing to protrude from the prism below it. Using this method, you only need to find the volumes of the two rectangular prisms and add the values together to get the volume for the irregular figure. The formula used to find the volume of a rectangular prism is $l*w*h$ , where $l$ , $w$ , and $h$ , represents the length, width, and height of the rectangular prism respectively. Using the formula above, the volume of the larger rectangular prism would be 12 * 3 * 3 = 12 * 9 = 108 $cm^3$ , and the volume of the smaller rectangular prism would be 4 * 3 * 3 = 12 * 3 = 36 $cm^3$ . So the volume of the entire irregular figure would be 108 + 36 = 144 $cm^3$ .