Answer:
Option B
The answer is 16
Step-by-step explanation:
<h3><u>Given</u>;</h3>
<h3><u>To </u><u>Find</u>;</h3>
Now,
4(v – 13) = 12
4(v – 13)/4 = 12/4
v – 13 = 3
v – 13 + 13 = 3 + 13
v = 16
Thus, The value of v is 16
<u>-TheUnknownScientist 72</u>
Answer:the height of the balloon is 670.244 feet
Step-by-step explanation:
The right angle triangle BLD represents the scenario.
h represents the height of the balloon.
We would apply trigonometric ratio to determine h.
Tan # = opposite side/adjacent side
Looking at triangle LCD,
# = 61 degrees
h = opposite side
x = adjacent side
Tan 61 = h/x
1.7321 = h/x
h = 1.7321x
Looking at triangle LBD,
# = 54 degrees
h = opposite side
x + 100 = adjacent side
Tan 54 = h/x + 100
1.3764 = h/x + 100
h = 1.3764(x + 100)
Therefore,
1.7321x = 1.3764(x + 100)
1.7321x = 1.3764x + 137.64
137.64 = 1.7321x - 1.3764x
137.64 = 0.3557x
x = 137.64/0.3557 = 386.955
h = 1.7321x = 386.955 × 1.7321
h = 670.244 feet
You can't know with only volume. Sorry.
Answer:

Step-by-step explanation:
Q3.
If ΔGHI and ΔJKL are similar, then the sides are in proportion:

We have
JL = x, GI = 9 ft, LK = 24 ft, IH = 12 ft.
Substitute:

<em> multiply both sides by 2</em>

Q4.
We must multiply the original length by a scale factor of 3/4:

Answer:
$18.96
Step-by-step explanation:
Now the mechanics earn $14.2 per hour, which is 25.1% less than before.
If we say that the earnings before were 100% (to facilitate our calculation and understand better), now the earrings are (100-25.1)%=74.9%. This is, now they make the 74.9% of what they used to made.
So:
74.9% = 14.2
Let's multiply both sides by 100%/74.9% to make a 100% appear at the left side (see that multiply and divide by 74.9 will make it desapear):
74.9% *(100%/74.9%) = 14.2 * (100%/74.9%)
100% = 14.2 * (100%/74.9%)
And (100%/74.9%) is equal to 1/0.749, they are the same. So:
100% = 14.2 * 1/0.749
100% = 18.96
So, before the new manager they used to make $18.96. (you can verify by multiplying it by 74.9% and the result is 14.2)