Answer:
>
Step-by-step explanation:
The bars around the numbers symbolize absolute value. The absolute value of a number is its distance from 0. Since distance is always positive the absolute value is that number but positive. In this case, 7 is greater than 2. So, the answer is 7>2.
Answer:
i dont undrstand .
Step-by-step explanation:
Answer:
c. Change the length of side CB to 8 feet
Step-by-step explanation:
If the figures are similar, the ratios should be the same
Take the side of the larger triangle over the same side of the smaller
PR PQ RQ
----------- = --------------------= ----------------
AC AB CB
7.5 5 10
----------- = --------------------= ----------------
6 4 9
7.5 /6 = 1.25
5/4 = 1.25
10/9 =1.1111(repeating)
The bases are not in the right ratio. RQ over CB = 1.25. Since RQ = 10 and the ratio is 1.25, we can solve for CB
10/CB = 1.25
Multiply by CB on each side
10 = 1.25CB
Divide by 1.25 on each side
10/1.25 = CB
8 =CB
Answer:
He has 30 penguins and 10 cats.
Step-by-step explanation:
Let's define the variables:
C = number of cats.
P = number of penguins.
We know that he has a total of 40 pets, then:
C + P = 40
We also know that the total heads (40 heads, each animal has one) plus the number of wings (P*2, each penguin has 2) is equal to the number of feet of his pets (4*C + 2*P, because each cat has 4 paws, and each penguin has 2)
Then we have the equation:
40 + 2*P = 4*C + 2*P
Notice that in the second equation we have the term 2*P in both sides of the equation, then we can just subtract 2*P in both sides to get:
(40 + 2*P) - 2*P = 4*C + 2*P - 2*P
40 = 4*C
Now with this, we can find the value of C.
40/4 = C = 10
Then he has 10 cats.
Now we can replace this in the equation:
P + C = 40
to find the value of P
P + 10 = 40
P = 40 - 10 = 30
P = 30
He has 30 penguins.
So using the formula for the volume of a cone:
r^2pi x h/3
The height is always 4 times the radius, so:
h=4r
Now putting the values into the original formula:
r^2pi x 4r/3
Now to see how much the radius increases per second:
r^2pi x 4r/3=300pi
r^2 x 4r/3=300
r^2 x 4r=900
r^2 x r=225
r^3=225
The radius increases by the cubic square root of 225 cm per second.
f(s)= 225^1/3 cm
