A 5'10"-tall student casts a shadow 10 feet long at the same time a tree casts a 40-ft shadow. How tall is the tree? (Hint: The tree and its shadow are similar to the student and her shadow.) 24 ft

35' 10"

23.32 ft

34 ft

A rectangular prism has a base length of 4 cm, a base width of 2 cm, and a height of 6 cm. What would be the volume if we tripled the size of the prism?

1,296 cm3

384 cm3

432 cm3

48 cm3

How close must a fireman place a 40-foot ladder to reach a cat stuck atop a 24-foot tree? (Find the distance from the base of the ladder to the tree.)

16 ft

32 ft

64 ft

dc=6 square root of 3 and ac is 12 square root 3

c and d

step-by-step explanation:

square root of 3/2 = 18/c

cross multiply to get 18*2=√3*c

36/√3 * √3/√3 = c

c= 36*√3/3

c=12√3

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1st part is 64,000,000

2nd part 500,000

step-by-step explanation:

this is a direct variation proportion. y = kx

y is the total amount due, k is the constant of variation, and x is the number of texts sent.

plug in the 3.20 and the 16 to solve for the "k". this is the constant of proportionality. it is the value that will not change.

3.20 = k(16). solving you get $.20 per text.

the equation would then be y = .20x