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zzz [600]
2 years ago
5

A roller coaster can accommodate 18 riders in 8 minutes. Complete the table with equivalent ratios.

Mathematics
1 answer:
12345 [234]2 years ago
7 0

Answer:

36 riders in 16 minutes, 54 riders in 24 minutes, and 72 riders in 32 minutes.

Step-by-step explanation:

The roller coaster can accommodate 9 riders every 4 minutes. 36 riders in 16 minutes, 54 riders in 24 minutes, and 72 riders in 32 minutes all follow the common ratio.

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What is the only unknown (variable) needed to find the volume of a sphere?
yuradex [85]

Sphere

The radius of the sphere is the only unknown variable need to find the volume of a sphere.

Step-by-step explanation:

Sphere is a geometrical three dimensional round figure with every point on its surface equidistant from its center. It is a three dimensional representation of a circle. A line which connects from the center to the surface is called radius of the sphere.The diameter of the sphere is the longest straight line which passes through the center of the sphere.

The volume of sphere is given by:

Volume of sphere(V) = \frac{4}{3}\pi r^{3} \\

where V is the volume of the sphere

r is the radius of the sphere

\pi = \frac{22}{7}  = 3.14

Hence the only unknown variable to find the volume of a sphere is the radius.

5 0
2 years ago
If I had 200 juul pods and 400 juuls how many more pods do I have to buy in order for every juul to have a pod?
Lena [83]

Answer:

You have to buy 200 more juul pods.

Step-by-step explanation;

400-200 = The amount of juul pods needed for every juul to have a pod.

400-200 = 200

6 0
2 years ago
Read 2 more answers
The side lengths of the base of this right triangular prism are 3 ft, 4 ft, and 5 ft. The height of the prism is 9 ft. What is t
Sladkaya [172]

Answer:

480

Step-by-step explanation:

5 0
1 year ago
Find the angle between u = (8.- 3) and v = (-3,- 8) Round to the nearest tenth of a degree.
Nimfa-mama [501]

Answer:

<h2>90°</h2>

Step-by-step explanation:

First you must calculate the module or the magnitude of both vectors

The module of u is:

|u|=\sqrt{(8)^2 + (-3)^2} \\\\|u|=\sqrt{64 + 9}\\\\|u|=8.544

The module of v is:

|v|=\sqrt{(-3)^2 + (-8)^2} \\\\|u|=\sqrt{9 + 64}\\\\|u|=8.544

Now we calculate the scalar product between both vectors

u*v = 8*(-3) + (-3)*(-8)\\\\u*v = -24+ 24=0

Finally we know that the scalar product of two vectors is equal to:

u*v = |u||v|*cos(\theta)

Where \theta is the angle between the vectors u and v. Now we solve the equation for \theta

0 = 8.544*8.544*cos(\theta)\\\\0 = cos(\theta)\\\\\theta= arcos(0)\\\\\theta=90\°

the answer is 90°

Whenever the scalar product of two vectors is equals to zero it means that the angle between them is 90 °

5 0
3 years ago
Read 2 more answers
Please help me w the equation and please don’t take advantage of the points.
svetoff [14.1K]

Answer:

y = 6x + 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 6 and given point (0, 4 ) ⇒ c = 4

y = 6x + 4 ← equation of line

6 0
3 years ago
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