Answer:
C. B = (19)(14)
Step-by-step explanation:
Given:
length (l) = 19 in.
width (w) = 14 in.
height (h) = 11 in.
Formula for volume of the rectangular prism = Bh
Base area (B) = l*w
Base area (B) = (19)(14) in.²
Formula for finding base area: B = (19)(14)
Angle 3 and angle 4 are supplementary angles and when added together need to equal 180 degrees.
To find angle 4 subtract angle 3 from 180.
Angle 4 = 180 - 101 = 79 degrees.
Answer:
Terry initially had £390
Step-by-step explanation:
The ratio of the original amount is 3:7
Let the original amount Terry has be t and the original amount Faye has be f
3/7 = t/f
or simply 3f = 7t ••••••(i)
Terry putting 220 means he now has
t + 220
Faye withdrew 300
He now has f-300
These values are equal
t + 220 = f-300
f = t+220+300
f = t + 520 ••••••(ii)
Put ii into i
3(t + 520) = 7t
3t + 1560 = 7t
7t-3t = 1560
4t = 1560
t = 1560/4
t = 390
If the angle in B is 45º, that means the angle in A is also going to be 45º, considering it's a right triangle, so AC and BC are they have the same length.
Then using Pythagoras, you'll get that

equals

.
Now, you know that AC=BC and that AB=24.
So you'll get

. You do the square root in both sides and you get that 2AC=24 and AC=12.
Now that you know that both AC and BC equal 12, you can find the area by just multiplying them and then diving them by 2. (The formula for the area of a triangle is half base multiplied by height, and in a right triangle, if a cathetus is the base, the other cathetus<span> will be the height)
And so the area is equal to 72.</span>