Over 140 times bigger because 25 cm³ of sugar is 40 grams (25×1.6)
and .2 cm³ of aspartame is 0.27 grams (0.2×1.35)
and 40 is 148 times as big as 0.27 (0.27×148.1481481≈40)
Answer:
x = 96.23 if x is the area of the base
x =21 if x is the side length of the base
Step-by-step explanation:
The volume of a square pyramid is given by
V=1/3 a^ 2 h
We know the volume is 441 and the area of the base is a^2 which is x
and the height is 1/7x
Substituting these values in
441 = 1/3 (x) 1/7x
441 =1/21 x^2
Multiply each side by 21
441*21 = 21*1/21 x^2
9261 = x^2
Take the square root of each side
sqrt(9261) = sqrt(x^2)
x = 96.23
I am thinking you mean x is the side length on the base
We know the volume is 441 and the area of the base is a^2 which is x^2
and the height is 1/7x
Substituting these values in
441 = 1/3 (x^2) 1/7x
441 =1/21 x^3
Multiply each side by 21
441*21 = 21*1/21 x^3
9261 = x^3
Take the cube root of each side
(9261) ^ (1/3) = (x^3)^(1/3)
21 =x
Answer:
60
Step-by-step explanation:
The triangles are similar so corresponding angles will be congruent. We also know this because both angles have two lines marking they are congruent.
The events are independant (i.e. what she rolls on the cube has no impact on how the spinner works). The probability of two independant events is given by:
For the cube, 1/2 the numbers meet our requitment of being even, so:
For the spinner, there are 3 odds out of 5 (1, 3 & 5) so:
and then: