Answer:
The answer to your question is VW = 2.2
Step-by-step explanation:
Data
angle = 63°
hypotenuse = ?
adjacent side = 1
Process
To solve this problem use trigonometric functions, the trigonometric function that relates the adjacent side and the hypotenuse is cosine.
cos α = ![\frac{adjacent side}{hypotenuse}](https://tex.z-dn.net/?f=%5Cfrac%7Badjacent%20side%7D%7Bhypotenuse%7D)
solve for hypotenuse
hypotenuse = ![\frac{adjacent side}{cos \alpha}](https://tex.z-dn.net/?f=%5Cfrac%7Badjacent%20side%7D%7Bcos%20%5Calpha%7D)
Substitution
hypotenuse = ![\frac{1}{cos 63}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bcos%2063%7D)
Simplification
hypotenuse = ![\frac{1}{0.45}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B0.45%7D)
Result
hypotenuse = 2.2
Answer:
Option (B)
Step-by-step explanation:
To calculate the distance between C2 and SW1 we will use the formula of distance between two points
and
.
d = ![\sqrt{(x_2-x_1)^{2}+(y_2-y_1)^2 }](https://tex.z-dn.net/?f=%5Csqrt%7B%28x_2-x_1%29%5E%7B2%7D%2B%28y_2-y_1%29%5E2%20%7D)
Coordinates representing positions of C2 and SW1 are (2, 2) and (-6, -7) respectively.
By substituting these coordinates in the formula,
Distance between these points = ![\sqrt{(-6-2)^2+(-7-2)^2}](https://tex.z-dn.net/?f=%5Csqrt%7B%28-6-2%29%5E2%2B%28-7-2%29%5E2%7D)
= ![\sqrt{(64)+(81)}](https://tex.z-dn.net/?f=%5Csqrt%7B%2864%29%2B%2881%29%7D)
=
units
Therefore, Option (B) will be the correct option.
Answer: Option 'a' is correct.
Step-by-step explanation:
Since we have given that
"THIS MESSAGE IS TOP SECRET."
We need to use the Caesar cipher.
As in general we always take a shift of 3 keys in Caesar cipher.
so, According to shift of 3 keys it becomes,
T→W
H→K
I→L
S→V
M→P
E→H
A→D
G→J
O→R
C→F
R→U
P→S
So, it can be written as
"THIS MESSAGE IS TOP SECRET."
WKLVP HVVDJ HLVWR SVHFU HW.
we make a set of 5 letters in a word after Caesar cypher.
Hence, Option 'a' is correct.
Answer:
C
Step-by-step explanation:
Graph f = x^2. Then the graph of g = (x + 3)^2 has the same shape, BUT its graph is that of f shifted 3 units to the LEFT. C is correct
Answer:
178.3 mm²
Explanation:
The surface area of the regular pyramid is equal to the sum of the base and lateral areas:()