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kykrilka [37]
3 years ago
15

When a number is decreased by 10% of itself the result is 171. What is the number?

Mathematics
1 answer:
abruzzese [7]3 years ago
4 0
100\%-10\%=90\%\\\\  \begin{array}{ccc}90\%&-&171\\\\100\%&-&x\end{array}\\\\cross\ multiply\\\\90x=171\times100\\\\90x=17100\ \ \ |divide\ both\ sides\ by\ 90\\\\\boxed{x=190}\leftarrow solution
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Freyda has a circular rug with a radius of 120 centimeters. The fringe on the outside edge of the rug needs to be replaced. What
Gnom [1K]

Answer:

The Fringe of the rug is 754 cm.

Step-by-step explanation:

Given:

radius = 120 cm

We need to find the fringe of the outside rug.

Solution:

Since the rug is in the circular form.

We can say that fringe of the outside edge of the rug can be equal to circumference of the circle.

Then we will find the Circumference of the circle.

Circumference of the circle is given 2 times 'π' times radius 'r'.

framing in equation form we get;

Circumference of the circle = 2\pi r

Circumference of the circle = 2 \times \pi \times 120 = 753.98 \approx 754\ cm

Hence the Fringe of the rug is 754 cm.

8 0
3 years ago
How do you write 2/11 as a decimal using long division​
LuckyWell [14K]

Answer:

0.18

Step-by-step explanation: Converting the fraction 2/11 into a decimal is very easy. To get 2/11 converted to decimal, you simply divide 2 by 11.

3 0
3 years ago
Read 2 more answers
Given that cosA = -8/17  and sinA is negative, determine the value of tanA.​
borishaifa [10]

Answer:

tan A = -15/8.

Step-by-step explanation:

sin^2a = 1 - cos^2A

= 1 - (-8/17)^2

= 225/289

So sin A= 15/17

tan A = sin A / cos A

=  15/17 / -8/17

= 15/-8

= -15/8.

5 0
3 years ago
The distance between the cities Chicago and Toronto is 540 miles. A motorcycle's speed is 48 mph. For a car, it takes 2.25 hours
serious [3.7K]

Answer:

5 hours

Step-by-step explanation:

given :

Distance between the cities = 540 miles

Speed of motorcycle =48 mph

TO CALCULATE THE TIME TAKEN BY MOTORCYCLE TO COVER THE TOTAL DISTANCE WE USE THE FORMULA :

\frac{DISTANCE}{SPEED}

By putting given values in the formula we get :

\frac{540}{48}

= 11.25 hours

Now, We are given that for a car to cover the same distance it takes 2.25 hours less than the time taken by motorcycle

⇒ 11.25 hours - 2.25 hours

⇒ 9 hours

Thus , Time taken by car to cover the same distance is 9 hours .

Now to calculate speed of car by using formula:

\frac{distance}{time}

\frac{540}{9}

= 60 mph

Let t be the time taken to meet if they start moving towards each other.

So distance covered by motorcycle in t hours is

speed\times time

= 48t miles

Distance covered by car in t hours is

speed\times time

= 60t miles

⇒ 60t + 48t =540

⇒ 108t = 540

⇒ t= 5 hours

Therefore, time taken to meet if they start moving towards each other is 5 hours.





7 0
3 years ago
Please help me due today
Keith_Richards [23]

Answer:

To find the answer consider that this is a right triangle and we can use the tangent function in order to find the value of x

remember the acronym soh cah toa.

to use the tangent function we divide the opposite and adjacent side that is what the oa stands for in toa

setting it up looks like this

tan 72° = \frac{x}{8\\}

solving for x gives us x= 8×tan 72°

which is about 24.62

Step-by-step explanation:

4 0
2 years ago
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