All categories

3 years ago

Isabella has dance class every 3 days and soccer

Mathematics

1 answer:

Nataliya [291]3 years ago

4 0

Answer:

Step-by-step explanation:

first you need to find the LCM (least common multiple) which is 15 so then every 15 days she will have both soccer, dance class and swimming class on the same day

You might be interested in

A lighthouse is located on a small island 5 km away from the nearest point P on a straight shoreline and its light makes seven r

Vaselesa [24]

Answer:

Light is moving at the speed = 77.78 km/min

Step-by-step explanation:

Given:

Distance between island and point P = 5 km

Moving along the the shoreline when it is 1 km from P.

So, x = 1

From the above statement light makes seven revolutions per minute.

Therefore,

$\frac{d\theta}{dt}=\frac{7\times 2\pi\ rad}{1\ min} = 14\pi\ rad/min$

Solution:

From the given figure.

$tan\theta=\frac{x}{5}$

Substitute x = 1

$tan\theta=\frac{1}{5}$ -------------------(1)

Now, first we differentiate both side with respect to t.

$\frac{d(tan\theta)}{dt} = \frac{d}{dt}.(\frac{x}{3})$

Using chain rule.

$\frac{d(tan\theta)}{dt}.\frac{d\theta}{dt} = (\frac{1}{5})\frac{dx}{dt}$

$sec^{2} \theta.\frac{d\theta}{dt} = \frac{1}{5}.\frac{dx}{dt}$

$(1+tan^{2} \theta).\frac{d\theta}{dt} = \frac{1}{5}.\frac{dx}{dt}$

Substitute $tan\theta=\frac{1}{5}$ from equation 1.

$(1+(\frac{1}{3})^{2} ).\frac{d\theta}{dt} = \frac{1}{5}.\frac{dx}{dt}$

$(1+\frac{1}{9}).\frac{d\theta}{dt} = \frac{1}{5}.\frac{dx}{dt}$

Substitute $\frac{d\theta}{dt}=14\pi$

$\frac{10}{9}.14\pi = \frac{1}{5}.\frac{dx}{dt}$

Applying cross multiplication rule.

$\frac{dx}{dt}= \frac{700\pi }{9}$

$\frac{dx}{dt}= 77.78\pi$

Therefore, light is moving along the shore at the speed of 77.78 km/min

6 0

3 years ago

HELP please explain to me how to get this. <br> Which of the following represents a function?

strojnjashka [21]

Answer:

option A : graph is a function

Step-by-step explanation:

(a) option is given is a graph

For graph , the function should pass vertical line test

Draw vertical line for every value of x

The vertical lines cross only one red point at a time

So the graph is a function

(b) When each input has only one output then it is a function

in option B , input 3 has two output -5 and 0

so it is not a function

(d) in option d , input -1 has two output -11 and 5

so it is not a function

7 0

3 years ago

This graph shows the distance that a robot walks. What is the robot's speed?

denis23 [38]

The distance for robot walks speed is D 20 feet per minute

8 0

2 years ago

2/3 x 4 yo plz help I need the answer

siniylev [52]

Answer:

2/3 x 4 = 8/3 in fraction form.

3 0

3 years ago

Two parallel lines are intersected by a transversal. One of the angles formed measures 27°. What is the measurement of an adjace

Citrus2011 [14]

When two parallel lines are cut by a third line, the third line is called the transversal. In the example below, eight angles are formed when parallel lines m and n are cut by a transversal line.<span>When two parallel lines are given in a figure, there are two main areas: the interior and the exterior. </span>

3 0

3 years ago