Answer:
230 cm^2
Step-by-step explanation:
The area of each parallelogram face is ...
A = bh = (8 cm)(3 cm) = 24 cm^2
The area of the two rectangular faces shown is ...
A = (area of top face) + (area of right side face)
A = (8 cm)(7 cm) +(5 cm)(7 cm) = 91 cm^2
The three faces we have figured the area of are half the total area, since there are three more faces exactly the same size. Then the total area of the figure is ...
total surface area = 2(24 cm^2 +91 cm^2) = 230 cm^2
_____
Of course, the area of a rectangle is given by A=L·W, where L and W represent the length and width of the rectangle.
Answer:
5 to the 15th power.
Step-by-step explanation:
PEMDAS requires us to do parenthesis, then exponents, and then division. Let's do 5³. 5x5x5 is equal to 125. Now, we find 125 to the ninth power. According to my calculations, 125 to the ninth power is equal to 7,450,580,596,923,828,125. Now, we find 5 to the twelfth power, which, according to my calculations, is 244,140,625. Now, we solve. According to my calculations, 7,450,580,596,923,828,125/244,140,625 is equal to 30,517,578,125. 30,517,578,125 is equivalent to 5 to the 15th power. That means that the second option is correct. I hope this helps!
He/she really tripping but maybe try simplifying them ?
Answer: 54
<u>Step-by-step explanation:</u>
replace "a" with "-2" in the g-equation
g(a) = a² - 4a + 42
g(-2) = (-2)² - 4(-2) + 42
= 4 + 8 + 42
= 54
Answer:
75
Step-by-step explanation:
f(1) = 7
f(n) = 3f(n-1) + 3
So what you are trying to do here is find the recursive value (that's what it is called) for f(n). Computers love this sort of thing, but we humans have to do it slowly and carefully.
So let's try f(2)
That means that f(2) = 3*f(n-1) + 3
but if f(2) is used it means that you have to know f(2-1) which is just f(1) and we know that.
so f(2) = 3*f(1)+3
f(2) = 3*7 + 3
f(2) = 21 + 3
f(2) = 24
Now do it again. We now know F(2), so we should be able to find f(3)
f(3) = 3*f(3 - 1) + 3
f(3) = 3*f(2) + 3 We know that f(2) = 24
f(3) = 3* 24 + 3
f(3) = 72 + 3
f(3) = 75
