Answer:
5 cm
Step-by-step explanation:
We know these are similar triangles, so we can use ratios of side lengths
x/40 = 4/32
Using cross products
32x = 4*40
32x = 160
Divide each side by 32
32x/32 = 160/32
x =5
Answer:
Standard Deviation, σ = 6.5828058860438
Step-by-step explanation:
<u>Data Set:</u> 20, 11, 27, 13, 29, 20
The total numbers in the data set
Count, N = 6
The sum is all values in the data set is added up
20 + 11 + 27 + 13 + 29 + 20
Sum, Σx: 120
The mean is the sim / N
Mean, μ: 20
Answer:
the profit in the case when the shop is closed for 6 hours is $41
Step-by-step explanation:
The computation of the profit in the case when the shop is closed for 6 hours is shown below:
= Expression of the situation × number of hours in which the shop is closed
= 45 - 2 ÷ 3 × 6 hours
= $41
hence, the profit in the case when the shop is closed for 6 hours is $41
Therefore the third option is correct
Answer:
26,508
Step-by-step explanation:
To find out how to solve this is that we first need to know that Triangular prisms have their own formula for finding surface area because they have two triangular faces opposite each other. The formula A=12bh is used to find the area of the top and bases triangular faces, where A = area, b = base, and h = height.
Also: To find the total surface area of a prism, you need to calculate the area of two polygonal bases, the top face and bottom face. And then calculate the area of lateral faces connecting the bases. Add up the area of the two bases and the area of the lateral faces to get the total surface area of a prism.
The top= 12 x 24 x 35 = 10,080
The lateral faces: 12 x 37 x 37 = 16,428
Surface Area= 10,080 + 16,428 = 26,508