Answer: 8
Step-by-step explanation:
We are going from a smaller triangle to a larger triangle, so the scale factor is greater than 1.
We know scale factor = (image)/(preimage), so the scale factor is 32/4 = 8
Answer=60
Since the base of the prism is a right triangle, we can use the pythagorean theorem to solve for x.
a²+b²=c²
plug in the data
a²+24²=30²
a²+576=900
subtract 576 from both sides
a²=324
sq root
a=18
So x=18
The formula for the volume of a triangular prism is...
V=(area of the base)*(height)
V=1/2bh*H where b=base of triangle h=height of triangle, H=height of prism
plug in the data that we know
720=1/2*18*24*H
720=216*H
divide both sides by 216
3 1/3=H
So x=18 and y=3 1/3 or 3.33 repeating
The product of the two
18*3 1/3=60
Answer=60
Answer:
280.8
Step-by-step explanation:
Since 100% is the full amount, and it is 35% off you add 35 to the 100. So you get 1.35. You finally multiply by 207 and get 280.8
Answer:
14 hours
Step-by-step explanation:
336/$24 = 14 hours
Only true statement for function f(x) = 
is <u>c. if the value of x increases by 1, the value of y will triple</u>.
<u>Step-by-step explanation:</u>
<u>a. the function decreases
</u>
f(x) = , For value of x<1 function decreases and for x>1 function increases . False statement .
<u>c. if the value of x increases by 1, the value of y will triple.
</u>
For value of x increases by 1 we have , 
. True statement.
<u>b. the function has a y-intercept of (0, 3)
</u>
At y intercept x=0, f(x) = , 
. Function has a y-intercept of (0,3). False statement.
<u>d. the function contains the point (1, 4)</u>
At x=1, 
. Function contains (1,12) not (1,4) . False statement.
