Answer:
65.5 in
Step-by-step explanation:
Ok, the two triangles are similar, since they're both right triangles, the angle in C are congruent, and the third has to be by difference. It means that the distance DC is proportional to 44 inches, on the proportion To this we need to add the 44 inches traveled in the first part, to get a total of 65.5 in
<u>Answer:</u>
The correct answer option is .
<u>Step-by-step explanation:</u>
We are given the following expression and we are to evaluate it when and :
Substituting the given values of and to get:
0.5kg is the same as 500g.
Let x = the unknown cost of 300g. We will use this to set up a proportion and crossmultiply.
Now crossmultiply and solve for x.
500x = 300(30)
500x = 9000
x = 18
300 grams cost 18p
Answer:
126
Step-by-step explanation:
This is a tricky question!
So we can quickly find the area of the whole circle through πr². That would be around 144π (remember, we are solving in terms of π, so we dont use 3.14)
Then, the circles. Through πr², we can find that the area of one circle is 9π. And since there are two circles, we can add these together to become 18π.
Now we subtract 144π from 18π to find the shaded area. 126π, and since we are doing this in the terms of π, we don't need to include that.
The nickels in the envelope is $0. 12
<h3>How to determine the number</h3>
From the information given, we have that;
Dimes + nickels = $1. 20
1/4 dimes + dimes = $ 1. 35
Let dimes = d
Nickels = n
d + n = 1. 20 equation a
d/4 + d = 1. 35 equation b
Make 'd' subject from equation a
d = 1. 20 - n
Substitute into equation b
1. 20 - n/ 4 + 1. 20 - n = 1. 35
0. 3 - 0. 25n + 1. 20 - n = 1. 35
collect like terms
- 1. 25n = 1. 35 - 1. 5
- 1. 25 = - 0. 15
n = -0. 15/ -1. 25
n = 0. 12
Thus, the number of nickels in the envelope is $0. 12
Learn more about algebraic expressions here:
brainly.com/question/4344214
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