Answer:
The height of the trough is about 1.5 ft
Step-by-step explanation:
If each cubic foot of water contains about 7.5 gallons.
Then; 315 gallons is about ![\frac{315}{7.5}=42ft^3](https://tex.z-dn.net/?f=%5Cfrac%7B315%7D%7B7.5%7D%3D42ft%5E3)
Let h be the height of the trough, then
![7\times 4\times h=42](https://tex.z-dn.net/?f=7%5Ctimes%204%5Ctimes%20h%3D42)
This implies that;
![28h=42](https://tex.z-dn.net/?f=28h%3D42)
Divide both sides by 28 to get:
![h=\frac{42}{28}](https://tex.z-dn.net/?f=h%3D%5Cfrac%7B42%7D%7B28%7D)
![\therefore h=1.5](https://tex.z-dn.net/?f=%5Ctherefore%20h%3D1.5)
The height of the trough is about 1.5 ft
Answer:
<em>The cosine of the complementary angle to 38° is 0.62. </em>Answer: d
Explanation:
<u>Complementary Angle</u>
Two angles x and y are complementary if
x+y=90°
The complementary angle of 38° is 90°-38°= 52°
Now use a calculator to find the approximate value of
![\cos 52^\circ \approx 0.61566](https://tex.z-dn.net/?f=%5Ccos%2052%5E%5Ccirc%20%5Capprox%200.61566)
Rounding to two decimal places:
![\cos 52^\circ \approx 0.62](https://tex.z-dn.net/?f=%5Ccos%2052%5E%5Ccirc%20%5Capprox%200.62)
a. Incorrect. The cosine of 52° is not 0.68
b. Incorrect. The cosine of 52° is not -0.16
c. Incorrect. The cosine of 52° is not -0.22
d. Correct. The cosine of 52° is 0.62 to two decimal places.
11. the pizza costs $6.50, the magazine costs $3.25.
Answer:
1008 possible dinner orders
Step-by-step explanation:
There are 3 possible salads, 4 possible entrees, and 9 possible sides.
Each dinner has 1 salad, 1 entree, and 3 sides.
Using combinations,
C(3,1) * C(4,1) * C(9,3) = 3 * 4 * 84 = 1008