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3 years ago

Please help, I will mark brainliest.

Mathematics

1 answer:

Bess [88]3 years ago

7 0

Answer:

Step-by-step explanation:

Total number of students who roller skated = 80

Number of students who roller skated with laser tag = 39

Number of students who roller skated with no laser tag = 80 - 39 = 41

Therefore, percentage of students who roller skated with no laser tag = $\frac{41}{154}\times 100$ = 27%

Since, number of students who played laser tag = 85

Percentage of students who played laser tag = $\frac{85}{154}\times 100$ = 55%

Total number of students who played no laser tag = 45% of 154 = 69

Number of students with no roller skates and no laser tag = 69 - 41 = 28

Percentage of students with no roller skates and no laser tag = $\frac{28}{154}\times 100$

= 18%

Percentage of students who played with no rollers skates = (30 + 18)%

= 48%

Laser tag No laser tag Total

Roller skate 25% 27% 52%

No Roller skate 30% 18% 48%

Total 55% 45% 100%

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andrew-mc [135]

Answer:

The angle of depression from Platform A to Platform B is $43.1^{\circ}$

Step-by-step explanation:

Refer the attached figure

The horizontal distance between the platforms is 500 feet i.e. BC = 500

The length of the zip-line is 685 feet i.e. AB = 685

We are supposed to find the angle of depression from Platform A to Platform B

Hypotenuse = 685

Base = 500

$Cos \theta = \frac{Base}{Hypotenuse}\\Cos \theta = \frac{500}{685}\\\theta = cos^{-1}(\frac{500}{685})\\\theta = 43.11^{\circ}$

Hence the angle of depression from Platform A to Platform B is $43.1^{\circ}$

4 0

3 years ago

Which equation does not represent a direct variation?

tatuchka [14]

Okay I think there has been a transcription issue here because it appears to me there are two answers. However I can spot where some brackets might be missing, bear with me on that.

A direct variation, a phrase I haven't heard before, sounds a lot like a direct proportion, something I am familiar with. A direct proportion satisfies two criteria:

The gradient of the function is constant s the independent variable (x) varies

The graph passes through the origin. That is to say when x = 0, y = 0.

Looking at these graphs, two can immediately be ruled out. Clearly A and D pass through the origin, and the gradient is constant because they are linear functions, so they are direct variations.

This leaves B and C. The graph of 1/x does not have a constant gradient, so any stretch of this graph (to y = k/x for some constant k) will similarly not be direct variation. Indeed there is a special name for this function, inverse proportion/variation. It appears both B and C are inverse proportion, however if I interpret B as y = (2/5)x instead, it is actually linear.

This leaves C as the odd one out.

I hope this helps you :)

4 0

3 years ago

The volume of a cone is 3rx? cubic units and its height is x units. Which expression represents the radius of the cone's base, i

Marianna [84]

Answer:

It is given that the volume of a cone = $3\pi x^3$ cubic units

Volume of cone with radius 'r' and height 'h' = $\frac{1}{3}\pi r^2h$

Equating the given volumes, we get

$3\pi x^3=\frac{1}{3}\pi r^2h$

$r^2h=3$ × $3x^3$

$r^2h=9 x^3$

It is given that the height is 'x' units.

Therefore, $r^2x=9x^3$

$r^2=9x^2$

Therefore, $r=3 x$

So, the expression ' $3 x$ ' represents the radius of the cone's base in units.

3 0

1 year ago

James usually drinks 38 ounces of water per day. He read that he should drink 64 ounces of water per day. If he starts drinking

vova2212 [387]

Answer at very bottom of picture above

if explanation need comment

7 0

3 years ago

What is the area of FGH

Dmitrij [34]

54 $in^{2}$

A right triangle is a shape that looks like half of a square. The height of the triangle is 12, and the base of the triangle is 9. To find the area, use the following formula:

A = $\frac{bh}{2}$

= $\frac{12x9}{2}$

= $\frac{108}{2}$

= 54 $in^{2}$

8 0

3 years ago