Answer:
Step-by-step explanation:
<u>We know that:</u>
- sin 30° = 1/2, therefore arcsin (1/2) = 30°
- tan 45° = 1, therefore arctan (1) = 45°
<u>So the value of the expression is:</u>
- arcsin (1/2) + arctan (1) = 30° + 45° = 75°
Answer:
254 yds²
Step-by-step explanation:
There are 6 faces of the prism we need to calculate the area of for a rectangular prism.
The base and top of the prism measure 9x7 yards each, so there are two faces with an area of 63 yds² (9 x 7 = 63)
The sides of the prism measure 4x7 yards each, so there are two faces with an area of 28 yds² (4 x 7 = 28)
The front and back face of the prism measure 9x4 yards each, so there are two faces with an area of 36 yds² (9 x 4 = 36)
The total surface area is
2(63) + 2(28) + 2(36) = 254 yds²
Answer:
y=4
Step-by-step explanation:
84=30y-9y, first you collect like terms.
84=21y, swap the sides
21y=84, devide both sides and you get y =4
Answer:
A total of 15 cups of punch.
Step-by-step explanation:
20% ( or 0.20) of the punch is pineapple juice so if you have 3 cups of this juice, by proportion, you can make 3 / 0.20 = 15 cups
The median is the number that is in the middle of all the other numbers in order but that is not the case
however, it is not the mean either
so we can see that 9.25 is between 9 and 9.5 when 23.5 is ignored
the correct answer is B