9514 1404 393
Answer:
D. 105 ft²
Step-by-step explanation:
The total surface area is the sum of the base area and the triangular face areas.
Area of base:
A = s²
A = (7 ft)² = 49 ft²
Area of 4 triangles:
A = 4(1/2)bh
A = 2(7 ft)(4 ft) = 56 ft²
Total surface area:
base area + triangle area = 49 ft² +56 ft² = 105 ft²
Let α represent the acute angle between the horizontal and the straight line from the plane to the station. If the 4-mile measure is the straight-line distance from the plane to the station, then
sin(α) = 3/4
and
cos(α) = √(1 - (3/4)²) = (√7)/4
The distance from the station to the plane is increasing at a rate that is the plane's speed multiplied by the cosine of the angle α. Hence the plane–station distance is increasing at the rate of
(440 mph)×(√7)/4 ≈ 291 mph
Answer:
The answer is 7 : 48.
Step-by-step explanation:
First, you can to calculate how many students are there in Jill's grade by adding the number of students who have pet with the students without pets :
total = 41 + 7 = 48
Next, you have to find the ratio of students without pets to total students :
7 : 48
Answer:
The hiking club's member count increased by 48%.
Step-by-step explanation:
We are given two data values: 25 members and 37 members. We need to determine how many members the club gained first. We can set up an equation where we solve for an unknown, or<em> x</em>, in this case.

The club increased by 12 members, so now we can divide this value by the initial amount of members and multiply the decimal we receive by 100 to express it in percentage form.

Therefore, the club's member count increased by 48%.