Answer:
A. 22.5 cm, 30 cm, and 37.5 cm
Step-by-step explanation:
If three sides of a triangle are in the ratio 3:4:5, then the lengths of the sides are 3x cm, 4x cm and 5x cm.
The preimeter of the triangle is the sum of the lengths of all sides, thus
So, the lengths of the triangle's sides are
Answer:
to find compound interest
it is
p(1+r) ^n
p stands for principa
r is the rate (percentage)
n is the amount of years
820(1+3.5 ) ^ 5
100
chsnge the percentsge to a decimal and add it to 1.
820(1 + 0.035) ^ 5
820(1.035)^5
raise what is in the bracket to the power of 5 which is the amount of years
820× 1.19
=£975.80
im not good with simple interest,could someone else show her how to do it please
We know that you have 9 quarters
We also know that you have 21 pennies
Probability is represented as "determined factor" / total
First, we need to find the total amount of possibilities. This means that you have to add 21 and 9
21 + 9 = 30
We want to know the probability of picking a penny out of the hat, so you would represent this as:
21/30
To turn it into a percent, divide 21 by 30.
21 ÷ 30 = 0.7
0.7 is equivalent to 70% as a percent
This means that you will have a 70% chance of picking a penny out
Answer: 70%
Although the question is not given,I can infere that you need to know the value of x, that is the widht of the frame.
Note that the dimensions of the rectangle covered by the frame are:
8 + 2x and 7 + 2x, meaning that the area covered by the whole figure is:
(8 + 2x) * (7 + 2x).
While the area of the picture is 8 in * 7 in = 56 in^2.
Then, you can state that the area of just the frame meets this equation:
area of the frame = area of the whole figure - area of the picture
34 = (8+2x)(7+2x) - 56
Now solve the equation, starting by expanding the product of the two parenthesis:
8*7 + 16x + 14x + 4x^2 - 56 = 34
4x^2 + 30x + 56 - 56 - 34 = 0
4x^2 + 30x - 34 = 0
Divide by 2 => 2x^2 + 15x - 17 = 0
Factor: (2x - 2)(x + 17/2) = 0
=> 2x - 2 = 0 => x = 1, and x + 17/2 = 0 => x = - 17/2.
Only x = 1 has a real physical meaning so, the solution is x = 1, which is the width of the frame.
Answer: the widht of the frame is 1 inch.
You can check: (8 + 2) (7 + 2) = (10)(9) = 90 = area of picture + the frame.
90 - 56 = 34 which is the area of the frame.
