Answer:
this should be 132 units i hope this helps! :)
Step-by-step explanation:
so these figures are similar
we are given 3 side measurements on one, and 3 on the other
we know that side BA is 10 units, and that SR which is the same side, is 14 units
we can conclude that they added 4 units to this side
so with the other side lengths that we are given we can figure out what the length of the perimeter of RSTUV is
10 + 4 = 14
15 + 4 = 19
28 - 4 = 24
42 - 4 = 38
25 + 4 = 29
42 TU
28 UV
19 VR
14 SR
29 ST
add all the side together to get 132 units
Okay, so first you have to factor out that negative throughout the parenthesis.
(2x-4)-3x-2
Then, put like terms together so you can organize your problem.
2x-3x-4-2
Now all you have to do is combine the like terms!
-x-6
Oh look, that's a. A is the answer.
First and last terms of the given equation are perfect squares. They can be written as
(4p^2)^2+ 2.(4p^2).5+(5)^2
It's like identity 1: (a+b)^2=a^2+2ab+b^2
So a=4p^2 and b=5
Therefore it is equal to (4p^2+5)^2
Answer:
B. 196.5
Step-by-step explanation:
First lets fine the semi circle's area.
The area of an circle is πr², so in order to find half of a circle, simply divide the answer by 2.
The diameter of the circle is 16, and the radius is half of 16, and which the radius will be 8. Now simply plug in 8 into the formula, and substitute π with 3.14
(3.14)(8)²=200.96 and half of that is 100.48
The area of the semi-circle is 100.48, and now it's time to find the area of the triangle.
The formula for area of an triangle is A=1/2bh
We can see that the base is 16 and height is 12, and now plug it in.
A=1/2(16)(12)= 96.
The area of the triangle is 96 and the area of the semi-circle is 100.48, when they are added, it is 196.48. When it is rounded, the answer is 196.5. And so the answer is B.
Remember that you must change this number so that it is between 1 and 10, and then multiply it by a power of 10.
So first, you have to move the decimal point over 2 places to the right.
Since you are moving to the right, the exponent on ten will be negative; since you moved 2 decimal places, you know the exponent will be -2.
The answer is 6.3 x 10^-2.
Hope this helps!
