Answer:
48 ft
Step-by-step explanation:
Here, we want to find the length of the wire
from the diagram, we can identify two similar triangles
The smaller one and a bigger one
Mathematically, when two triangles are similar, the ratio of their corresponding sides are equal
We can start by getting the height of the tower
we have this as:
8/11 = 28/x
8 * x = 28 * 11
8x = 308
x = 308/8
x = 38.5 ft
So as we can see, the wire represents the hypotenuse of the larger triangle that measures 28 ft base and 38.5 ft height
So we can use the Pythagoras’ theorem to get the hypotenuse
Let us call this g
mathematically according to the theorem, the square of the hypotenuse equals the sum of the squares of the two other sides
thus, we have it that;
g^2 = 38.5^2 + 28^2
g^2 = 2,266.25
g = √2,266.25
g = 47.61 which is approximately 48 ft
Answer:
67.2
Step-by-step explanation:
5 + 7 = 12
6 * 12 = 72
72 - 4.8 = 67.2
Kyle purchased a 20 lb. pumpkin for $5.95.
Cost per lb of pumpkin for Kyle = 5.95/ 12 = $0.496.
Elizabeth purchased a 15 lb. pumpkin for $5.00.
Cost per lb of pumpkin for Elizabeth = 5.00/15 = $0.333.
Elijah purchased an 8 oz. pumpkin for $ 0.16.
16 oz = 1 lb
8 oz = 0.5 lb.
Cost per lb of pumpkin for Elijah = 0.16/ 0.5 = $ 0.32.
<h3>Cost per lb of pumpkin for Elijah is $ 0.32 is the lowest price per lb of pumpkin .</h3><h3>Cost per lb of pumpkin for Kyle is $ $0.496 is the highest price per lb of pumpkin .</h3><h3>Therefore, Elijah got the best deal and Kyle got the worst deal.</h3>
I think the domain and range are infinite
Answer:
Shaded area is 55 units²
Step-by-step explanation:
Ignoring the white cutout, we have a rectangle of length 10 and width 7 (count the squares in each direction). The area of this larger rectangle is
(10 units)(7 units) = 70 units². The white area that we previously ignored has dimensions 3 by 5 units, and thus an area of 15 units²
Subtract the latter from the former, obtaining the net area
70 units² - 15 units² = 55 units²
