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tino4ka555 [31]
3 years ago
15

An acute triangle has side lengths 21 cm, x cm, and 2x cm. if 21 is one of the shorter sides of the triangle, what is the greate

st possible length of the longest side, rounded to the nearest tenth?
Mathematics
2 answers:
madam [21]3 years ago
8 0

Given that the sides of the acute triangle are as follows:
21 cm
x cm
2x cm

Stated that 21 cm is one of the shorter sides of the triangle2x is greater than x, so it follows that 2x MUST be the longest side


For acute triangles, the longest side must be less than the sum of the 2 shorter sides
Therefore, 2x < x + 21cm
2x – x < 21cm
x < 21cm

If x < 21cm, then 2x < 42cm
Therefore, the longest possible length for the longest side is 42cm
sesenic [268]3 years ago
7 0

Answer:

C. 42.0

Step-by-step explanation:

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Given an exponential function for compounding interest, A(x) = P(.95)x, what is the rate of change?
statuscvo [17]

Answer:

Option 3

The rate of change is -5%                

Step-by-step explanation:

Given : An exponential function for compounding interest, A(x) = P(.95)^x

To find : What is the rate of change?

Solution :

The general form of an exponential function is:

f(x) = a(1+r)^x

Where, a is the initial amount,

(1+r) is the rate of change,

r is the growth or decay factor

We have given, A(x) = P(.95)^x

Rate of change is

1+r=0.95

r=0.95-1

r=-0.05

Convert to percent,

r=-0.05\times 100=-5\%

Therefore, Option 3 is correct.

4 0
3 years ago
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The circumference of a circle is 20π m. What is the area, in square meters? Express your answer in terms of \piπ.
never [62]

Answer:

A≈31.83

Step-by-step explanation:

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7 0
3 years ago
In a 5% sale, the price of a phone is reduced by £19.4 Find the original price of the phone
gulaghasi [49]

Answer:

The original price of the phone is £388.

Step-by-step explanation:

Since 5% of the price of the phone is reduced, you can simply multiply the reduced number which is £19.4 by 20.  Your final answer should be £388 when you put it on a calculator or do it on a piece of paper.

4 0
3 years ago
A new phone costs $230 and the sales tax rate is 7%. What is the total cost of the camera after tax?
rosijanka [135]

That's a question about percentage.

One way to represent percentage is using decimal number. In this way, 1 is equivalent to 100% and the other less percentages using numbers between 0 and 1.

Examples:

  • 90% is equivalent to 0,90.
  • 5% is equivalent to 0.05. It's not 0.5 because 0.5 is equivalent to 50%.
  • 13.17% is equivalent to 0.1317.
  • 245% is equivalent to 2.45.

If we want to know the percentage of a number, we should multiplacate the number by the porcentage in the decimal number form.

Examples:

  • 55.90% of 200 is equal to: 200 \times 0.5590 = 111.8
  • 360% of 88 is equal to: 88\times 3.6 = 316.8

In our problem, we have a phone with a increase of 7%. To solve that, it's important to perceive that $230 is equal to 100% and with a increase of 7%, we will pay 107%.

107% in the decimal number form is 1.07. With that information, we should multiplicate 1.07 by the original value and we will find the answer.

We know that 230\times 1.07 = 246.1, therefore, the total cost of the phone after tax is $246.1.

I hope I've helped. :D

Enjoy your studies. \o/

4 0
3 years ago
Graph 40-5y=x and plot coordinates.
almond37 [142]
The graph is in the picture (0,8) (40,0)

5 0
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