Answer:
∅ = 50°
Step-by-step explanation:
YOU NEED A CALCULATOR TO SOLVE THIS!
You need to use Law of Sines
Here you will be doing 
a and c are the lengths, while A and C are the angles
you want to get the denominators out from underneath so multiply both sides by sinA and sin43
Now you want to get sinA alone so divide both sides by 2.54
now get A alone
put that into the calculator
Answer:
7.21
Step-by-step explanation:
use pythagoream theroem
Answer:
C. 20 feet
Step-by-step explanation:
Let x = width
Let y = length
If the length is at least 10 feet longer than the width:
⇒ x + 10 ≤ y
⇒ x ≤ y - 10
If the perimeter is to be no more than 100 ft:
⇒ 2x + 2y ≤ 100
⇒ x + y ≤ 50
⇒ x ≤ 50 - y
Equate the equations for x and solve for y:
⇒ y - 10 = 50 - y
⇒ 2y = 60
⇒ y = 30
Substitute found value of y into one of the inequalities for x:
⇒ x ≤ 30 - 10
⇒ x ≤ 20
Therefore, the maximum possible width of the fence is 20 feet.
Step-by-step explanation:
15 + 10 = 25 people
15 are girls and 10 are boys and that makes 15/10 ratio.
15/10 divided by 5 each is 15/5=3 and 10/5=2 which gets you a simplified fraction of
3/2
Hope this helped!
Answer:
The vertex Q' is at (4,5)
Step-by-step explanation:
Given:
Quadrilateral PQRS undergoes a transformation to form a quadrilateral P'Q'R'S' such that the vertex point P(-5,-3) is transformed to P'(5,3).
Vertex point Q(-4,-5)
To find vertex Q'.
Solution:
Form the given transformation occuring the statement in standard form can be given as:
The above transformation signifies the point reflection in the origin.
For the point P, the statement is:
So, for point Q, the transformation would be:
Since two negatives multiply to give a positive, so, we have:
