Answer:
The leghts of AB is 9 because both of the triangles are symmetrical. But also, this is a Equilateral triangle, which means that both of the sides are the same lengths (AB=AC)
To find the volume of a rectangular prism, we can use the formula [ V = l * w * h ]
V = 5 * 2 1/2 * 1 1/2
V = 12 1/2 * 1 1/2
V = 18 3/4cm³
Now that we know the volume, we can check each answer choice.
Option A:
5 ∙ 2 1/2 ∙ 1 1/2
12 1/2 * 1 1/2
18 3/4cm³
Option B:
12 1/2 ∙ 1 1/2
18 3/4cm³
Option C:
1 1/2(5 + 2 1/2)
1 1/2(7 1/2)
11 1/4cm³
Option D:
1/2(12 1/2 ∙ 1 1/2)
1/2(18 3/4)
9 3/8cm³
Therefore, the only correct options are A and B.
Best of Luck!
Hello there! Given there are 70 employees after downsizing by 30%, let x equal the number of employees prior to the layoffs:
70 would have to be 70% of x.
To find what 70 is 70% of, we can multiply by 100 because 100 is the base denominator:
70 • 100 = 7,000
Given this equation, we can now divide our result by 70 to get what the amount of employees before the layoffs is:
7,000 divided by 70 gives us 100.
x = 100
Now, we can plug our answer in to see if it makes sense.
Does 70/100 represent 70%?
Yes, it does. 70/100 reduces to 7/10, and by adding 3/10 to our 70%, we get the initial amount of employees.
Your final answer: There were 100 employees prior to the layoffs. If you have any extra questions, let me know and I will gladly assist you.
Your answer is ..
First,
we have to turn our mixed fractions into an improper fraction.
=4 1/8 which is 33/8(4 x 8 + 1).
Our next mixed fraction,
we have 1 1/7 which is 8/7(1 x 7 + 1).
Now, we have the get the same denominator in order to subtract.
SO, both 8 and 7 goes in to 56. So we multiply both mixed fractions to get the same denominator.
(Tip: what ever you do to do numerator, you do to the denominator; and the other way around).
33/8 : 33*7=231 and our denominator, 8*7=56
So our improper fraction now,
231/56
Our next fraction 8/7,
7*8= 56 and our numerator 8*8=64.
=64/56
So, now we subtract.
231-64= 167 and our common denominator. 167/56
Now we divide 167 by 56 which is 2 and remainder is 55.
So, you should end up with a mixed fraction, 2 55/56.
Answer:
The value of P is 20 .
Step-by-step explanation:
Firstly, you have to create an expression in terms of p using the information :
Next, you have to multiply both sides by 10 :