Answer:
11.28m
Step-by-step explanation:
The computation of the height of the spire is shown below:
let us assume the height of the spire be x
Now
For triangle ABD
Tan 43 degrees = h ÷ x
x = h × cot 43 degrees
= 1.07236 h
For triangle ABC
tan 15 degrees = h ÷ (30 + x)
0.2679 = h ÷ 30 + 1.07236h
8.038 + 0.28728 h = h
h = 11.28m
Answer:
0.48 or 48%
Step-by-step explanation:
The relative frequency of wins for the basketball team in question is given by the number of wins over the course of the 25 games, divided by the total number of games.
Observing the given data, 12 'Ws' can be counted, which means that the relative frequency of wins is:
The relative frequency of wins is 0.48 or 48%.
Answer:
C=100+10x
Step-by-step explanation:
its 10$ per visit and x represents the number of visits. and you get a 1 time membership fee of 100 so its 100+10x=C c stand for cost.
Answer:
length of side of square = (4x - 5) inches
Step-by-step explanation:
We are given;
Area of square = 16x² – 40x + 25
Let's find the roots of this quadratic equation [-b ± √(b² - 4ac)]/2a
Thus;
x = [-(-40) ± √((-40)² - 4(16 × 25)]/(2×16)
x = [40 ± √(1600 - 1600)]/32
x = (40 ± 0)/32
x = 40/32
x = 5/4
Thus, the factors of the polynomial are;
(4x - 5)²
So,
Area = 16x² – 40x + 25 = (4x - 5)²
Since, the right hand side is (4x - 5)² and area of square is (length of side)², thus we can say that length of side of square is (4x - 5) inches
Answer:120 units
Step-by-step explanation:
