Answer:
The second option
Step-by-step explanation:
x+y=29
5x+2y=100
then y=29–x
since 5x+2y=100
then 5x+2(29–x)=100
then 5x+58–2x=100
then 3x+58=100
then 3x=100–58
then 3x=42
then x=42/3
then x=14
then y=29–14=15
Yes.
Since 16 isn't a factor of 42, your GCF would be 2.
Hope that helps. -UF aka nadia
Answer: $11.45
Step-by-step explanation:
Food pill: $9
Tax: 6%
Tip: 20%
\\x=11.45](https://tex.z-dn.net/?f=x%3D%289%29%2B%289%29%280.06%29%2B%5B%289%29%2B%289%29%280.06%29%5D%280.20%29%5C%5Cx%3D11.45)
Sine (28) = opposite / hypotenuse =
0.46947 = opposite / 28
opposite = 0.46947 * 28
<span><span><span>opposite side = 13.14516
</span>
</span>
</span>
cosine (28) = adjacent / hypotenuse =
0.88295 = adjacent / 28
adjacent = 28 * .88295
<span><span><span>adjacent side = 24.7226
</span>
Double Check
</span>
</span>
<span>13.14516^2 + 24.7226^2 = 28^2
</span>
<span>
<span>
<span>
172.7952314256
</span>
</span>
</span>
+
<span>
<span>
<span>
611.20695076
</span>
</span>
</span>
= 784
<span>
<span>
<span>
784.0021821856
</span>
</span>
</span>
= 784
Correct to 5 significant figures
Answer:
The ramp must cover a horizontal distance of approximately 19.081 feet.
Step-by-step explanation:
Given the vertical distance (
), measured in feet, and the angle of the wheelchair ramp (
), measured in sexagesimal degrees. The horizontal distance needed for the ramp (
), measured in feet, is estimated by the following trigonometrical expression:
(1)
If we know that 
and 
, then the horizontal distance covered by this ramp is:
The ramp must cover a horizontal distance of approximately 19.081 feet.
