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3 years ago

Draw a Venn diagram to help answer the following survey:

Mathematics

1 answer:

MrRissso [65]3 years ago

6 0

Answer:

a)8

b)7

c)26

d)60

Step-by-step explanation:

The Venn Diagram is attached

For number of people who saw a single movie only

See the number associated with the movie name excluding all intersection parts

For people who watched only 2 movies exactly

Sum all the intersection parts of any 2 circle parts=6+12+8=26

For total number of students surveyed

Sum up every number in the Venn diagram including the number 5 outside 3 circles(it represents that 5 people did not watch any of the films)

=7+12+10+6+4+8+8+5=60

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Carol is standing 8 feet from a lamppost. The angle of elevation from her eyes to the top of the lamppost is 20o, and the angle

kupik [55]

Answer:

Height of the lamppost = 5.602 ft + 2.912 ft = 8.514 ft

Step-by-step explanation:

The illustration form a triangle that can be demarcated into 2 right angle triangle. One triangle representing depression triangle and the other elevation triangle.

Depression triangle

The opposite side of the triangle formed is the length of the pole from the base to the horizontal line of sight. Therefore,

using tangential ratio

tan 35° = opposite/adjacent

tan 35° = a/8

cross multiply

a = 8 tan 35°

a = 8 × 0.70020753821

a = 5.60166030568

a = 5.602 ft

Elevation triangle

The opposite side of this right angle triangle represent the length from the horizontal line of sight to the top of the lamppost.

tan 20° = opposite/adjacent

tan 20° = b/8

cross multiply

b = 8 tan 20°

b = 8 × 0.36397023426

b = 2.91176187413

b = 2.912 ft

Height of the lamppost = 5.602 ft + 2.912 ft = 8.514 ft

8 0

3 years ago

What is the unit rate for 644.8 ft in 31 s?<br><br><br> Enter your answer, as a decimal, in the box

pychu [463]

That would be 644.8 / 31 = 20.8 feet / second

7 0

3 years ago

Read 2 more answers

Yuk noticed that out of 24 students entering the building at Willowville Elementary School this morning, 8 of them were carrying

nordsb [41]

Answer:

the students that brought a lunch box is 28

Step-by-step explanation:

The computation of the students that brought a lunch box is shown below:

= Entire school students × students that carry a lunch box ÷ entering students

= 84 students × 8 ÷ 24 students

= 28 students

Hence, the students that brought a lunch box is 28

3 0

3 years ago

Directions:Use the product rule to simplify the following monomials.

nadezda [96]

Answer: $-12m^3n^3$

Step-by-step explanation:

$\frac{1}{4}\left(8mn\right)\left(-6m^2n^2\right)$

$=-\frac{1}{4}\cdot \:8mn\cdot \:6m^2n^2$

$=-\frac{1}{4}\cdot \:48mnm^2n^2$

$=-\frac{1}{4}\cdot \:48m^3nn^2$

$-\frac{1}{4}\cdot \:48m^3n^3$

$=-12m^3n^3$

6 0

3 years ago

Big Ben, the famous clock tower in London, has a minute hand that is 14 feet long. How far does the tip of the minute hand of Bi

ycow [4]

Answer:

36.65 ft (2 dp)

Step-by-step explanation:

Angles around a point sum to 360°
1 hour = 60 minutes

Therefore, the minute hand of a clock travels 360° in 60 minutes

Number of degrees the minute hand will travel in 25 minutes:

$\sf =\dfrac{360}{60} \times 25=150^{\circ}$

To find how far the tip of the minute hand travels in 25 minutes, use the Arc Length formula:

$\textsf{Arc length}=2 \pi r\left(\dfrac{\theta}{360^{\circ}}\right)$

$\textsf{(where r is the radius and}\:\theta\:{\textsf{is the angle in degrees)}$

Given:

r = length of minute hand = 14 ft
$\theta$ = 150°

$\begin{aligned}\implies \textsf{Arc length} &=2 \pi (14)\left(\dfrac{150^{\circ}}{360^{\circ}}\right)\\ & = 28\pi \left(\dfrac{5}{12}\right)\\ & = \dfrac{35}{3} \pi \\ & = 36.65\: \sf ft\:(2\:dp)\end{aligned}$

4 0

2 years ago