Compare 7/21 and 3/18 using > < or =

Mathematics

1 answer:

sattari [20]3 years ago

8 0

7/21 is greater than 3/18
=42/126 is greater than 21/126

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Can you regroup 43 and 28

avanturin [10]

Answer:

Step-by-step explanation:

7 0

3 years ago

Mike just hopped on the edge of a merry-go-round. What are his linear and angular speeds if the diameter of the merry-go-round i

dsp73

Step-by-step explanation:

Given that,

The diameter of the merry-go-round, d = 14 feet

Time taken, t = 6 seconds

Radius, r = 7 feet

The linear speed of the merry-go-round is given by :

$v=\dfrac{2\pi r}{t}\\\\v=\dfrac{2\pi \times 7}{6}\\\\=7.33\ m/s$

Also,

$v=r\omega$

Where

$\omega$ is the angular speed

So,

$\omega=\dfrac{v}{r}\\\\\omega=\dfrac{7.33}{7}\\\\=1.04\ rad/s$

Hence, his linear and angular speeds are 7.33 m/s and 1.04 rad/s.

8 0

3 years ago

A bottle of soft drink is two thirds full. Jack drinks one quarter of the remaining soft drink. How full is the bottle now

marusya05 [52]

We know that the bottle of soft drink has a remaining volume which is 2 / 3 of the original.

Since Jack drank 1 / 4 of the remaining volume, hence only 3 / 4 now finally remains, the total is:

(2 / 3) * (3 / 4) = 6 / 12 = 1 / 2

<span>Hence the bottle is now one half full</span>

8 0

4 years ago

Read 2 more answers

How to solve this problem

nevsk [136]

Let C be the center of the circle. The measure of arc VSU is $2+114x$ , so the measure of the minor arc VU is $360-(2+114x)=358-114x$ . The central angle VCU also has measure $358-114x$ .

Triangle CUV is isosceles, so the angles CVU and CUV are congruent. The interior angles of any triangle are supplementary (they add to 180 degrees) so

$m\angle VCU+2m\angle CUV=180$