Answer:
Step-by-step explanation:
From the question we are told that:
Height 
Angle of depression 
Angle of Elevation 
Generally the equation for the vertical distance between Emery's distance x and the bottom of the building is mathematically given by
Since the angle of depression and elevation are given as
27 and 23 respectively
Therefore
Emery's view of the 42 ft building is
Therefore Emery's distance x to the base of the building h' is
Generally the Trigonometric equation for Emery's distance x is mathematically given by
Step-by-step explanation:
The simplest method is "brute force". Calculate each term and add them up.
∑ = 3(1) + 3(2) + 3(3) + 3(4) + 3(5)
∑ = 3 + 6 + 9 + 12 + 15
∑ = 45
∑ = (2×1)² + (2×2)² + (2×3)² + (2×4)²
∑ = 4 + 16 + 36 + 64
∑ = 120
∑ = (2×3−10) + (2×4−10) + (2×5−10) + (2×6−10)
∑ = -4 + -2 + 0 + 2
∑ = -4
4. 1 + 1/4 + 1/16 + 1/64 + 1/256
This is a geometric sequence where the first term is 1 and the common ratio is 1/4. The nth term is:
a = 1 (1/4)ⁿ⁻¹
So the series is:
5. -5 + -1 + 3 + 7 + 11
This is an arithmetic sequence where the first term is -5 and the common difference is 4. The nth term is:
a = -5 + 4(n−1)
a = -5 + 4n − 4
a = 4n − 9
So the series is:
Answer:
21
Step-by-step explanation:
To find the answer, you'd have to continue tracing the diagonal line until it intersects with the vertical line that corresponds to the number 3.
If you do that, you'll see that in3 boxes, there are 21 footbals.
You can also calculate it mathematically:
If you have 7 balls per box as shown in the graph, you just have to multiply 7 by 3 to know how many balls you'll find in 3 boxes. 7 * 3 = 21.
Hope it helped,
BioTeacher101
Answer:
6 * 3/4 = 9 2 = 412 = 4.5
Step-by-ste
6 * 3/4 = 6/1 3*4 = 18/4 = 9/2
2 · 2 = 9/2
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(18, 4) = 2. In the next intermediate step cancelling by a common factor of 2 gives 9
2
.
In words - six multiplied by three quarters = nine halfs.
