Answer:
14 in^3.
Step-by-step explanation:
The volume = volume of the bottom prism + volume of the top pyramid
= area of base * height of the prism + 1/3 * area of base * height of the pyramid
= 2 * 1.5 * 4 + 1/3 * (2*1.5) * 2
= 3*4 + 1/3 * 6
= 14 in^3.
Answer:26 is the answer I think
Step-by-step explanation:
Answer: 33 days.
Step-by-step explanation:
Given :- Camryn practices the trumpet every 11th day and the flute every 3rd day.
Camryn practiced both the trumpet and the flute today.
To find the number of days until Camryn practices the trumpet and flute again in the same day, we need to find the least common multiple (L.C.M.) of 11 and 3.
As they both are co-prime numbers thus its L.C.M.= 11×3=33
Therefore, Camryn practices the trumpet and flute again in the same day after 33 days.
ANSWER
(D)54.1°
EXPLANATION
The measure of angle P can be calculated using the cosine ratio.
We know the adjacent side to angle P to be 33.8 and the hypotenuse of the right triangle is 57.6 units.
![\cos(P) = \frac{adjacent}{hypotenuse}](https://tex.z-dn.net/?f=%20%5Ccos%28P%29%20%20%3D%20%20%5Cfrac%7Badjacent%7D%7Bhypotenuse%7D%20)
![\cos(P) = \frac{33.8}{57.6}](https://tex.z-dn.net/?f=%5Ccos%28P%29%20%3D%20%20%5Cfrac%7B33.8%7D%7B57.6%7D%20)
Take cosine inverse,
![P= \cos ^{ - 1} (\frac{33.8}{57.6} )](https://tex.z-dn.net/?f=P%3D%20%20%5Ccos%20%5E%7B%20-%201%7D%20%28%5Cfrac%7B33.8%7D%7B57.6%7D%20%29)
![P=54.07 \degree](https://tex.z-dn.net/?f=P%3D54.07%20%5Cdegree)
To the nearest tenth, the measure of <P is 54.1°