The ratio of the areas is 340/1158 = 170/579thus the ratio of the side lengths is sqrt(170)/sqrt(579) = .5418the ratio of volumes is the side length ratio cubed = .5418^3 = .159Volume of smaller solid = (.159)(1712) = 272.37
Answer: 16
Step-by-step explanation:
100% is 64 and 1% of 64 is 6.4 and if you multiply 6.4 times 25 is 160 so 125% is 160 so 90% of 160 is 144 so 160-144 is 16
Answer:
x4+2x3+x2+5x+b=x-2x3+x+3
Step-by-step explanation:
Solution for 0.5 is what percent of 3:
0.5:3*100 =
(0.5*100):3 =
50:3 = 16.666666666667
Now we have: 0.5 is what percent of 3 = 16.666666666667
Question: 0.5 is what percent of 3?
Percentage solution with steps:
Step 1: We make the assumption that 3 is 100% since it is our output value.
Step 2: We next represent the value we seek with $x$x.
Step 3: From step 1, it follows that $100\%=3$100%=3.
Step 4: In the same vein, $x\%=0.5$x%=0.5.
Step 5: This gives us a pair of simple equations:
$100\%=3(1)$100%=3(1).
$x\%=0.5(2)$x%=0.5(2).
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have
$\frac{100\%}{x\%}=\frac{3}{0.5}$
100%
x%=
3
0.5
Step 7: Taking the inverse (or reciprocal) of both sides yields
$\frac{x\%}{100\%}=\frac{0.5}{3}$
x%
100%=
0.5
3
$\Rightarrow x=16.666666666667\%$⇒x=16.666666666667%
Therefore, $0.5$0.5 is $16.666666666667\%$16.666666666667% of $3$3.
Answer:
measure of two unknown angles are 35.7° and 75.4°
measure of one unknown side is 16.6 inches
Step-by-step explanation:
i used law of sines to find the angle opposite 10 inch side
sin 68.9/16 = sinФ/10
Ф = 35.7°
then is added 35.7 and 68.9 and subtracted the sum from 180° to get the measure of the third angle, 75.4°
i used law of sines again to find the measure of the third side
sin 68.9/16 = sin 75.4/x
x = 16.59
