Answer: The toy should be 2.4 inches tall
------------------------------------
------------------------------------
Explanation:
First convert 6 ft to inches
6 ft = (6 ft)*(12 in/1 ft) = (6*12) inches = 72 inches
So, 6 ft = 72 inches
The toy is manufactured with a scale of 1:30 meaning that the toy is 1 unit tall compared to the soldier which is 30 units tall. The soldier is 30 times taller than the toy. We can therefore form the ratio
1/30 = x/72
where x is the height of the toy soldier in inches
Cross multiply and solve for x
1/30 = x/72
1*72 = 30*x
72 = 30*x
72/30 = 30*x/30
72/30 = x
x = 72/30
x = 12/5
x = 2.4
So the toy should be 2.4 inches tall.
Note how 30 times 2.4 gives us
30*2.4 = 72
which fits with the theme that the real soldier is 30 times taller than the toy counter part.
Answer:
13 pieces
Step-by-step explanation:
Trust me.
Answer:
I just did this lesson; this answers are right.
1: Given 1: ∠1 = ∠2, ∠3 = ∠4, D is midpoint of segment BE, BC = DE
2: BD = DE 2: Definition of midpoint
3: BC = BD 3: Substitution
4: Triangle ABD congruent to Triangle EBC 4: ASA
5: ∠A = ∠E 5: CPCTE
Step-by-step explanation:
So we have the following system of equations:
We need to solve it by substitution. This means that we have to take the expression for x given by the second equation and replace x with it in the first equation:
So y=-1. If we use this value in the second equation:
So we have x=2 and y=-1 which means that there's one solution. Then the correct answer is A and the solution is (2,-1).
Answer:
(x, y, z) = (-1, -4, -5)
Step-by-step explanation:
(x, y, z) = (Dx, Dy, Dz)/D = (-6, -24, -30)/6
(x, y, z) = (-1, -4, -5)
