Answer:
AC ≈ 17.3 , BC ≈ 5.3
Step-by-step explanation:
using the tangent ratio in right triangle ACD
tan51° = 
= 
= 
( multiply both sides by 14 )
14 × tan51° = AC , then
AC ≈ 17.3 ( to the nearest tenth )
using the cosine ratio in right triangle ABC
cos72° = 
= 
= 
( multiply both sides by 17.3 )
17.3 × cos72° = BC , then
BC ≈ 5.3 ( to the nearest tenth )
Answer:
(-2,-1)
Step-by-step explanation:
Using the graph find the coordinates for A and B.
A (-4,2) and B is (0,-4)
Midpoint formula is (x1 + x2)/2 , (y1+y2)/2
x value of the midpoint= (-4+0)/2 = -2
y value of the midpoint= (2 + -4)/2 = -2/2= -1
Midpoint is (-2, -1)
Answer:
Width=10
Length=18
Step-by-step explanation:
The length is 2 feet less then twice the width
Let the width be x.
Then the length is 2x -2 based on the given information. Use this to make an equation since it is known that the area is 180feet squared.
x(2x-2)=180
2x^2 - 2x - 180 = 0
2( x^2 - x - 90) = 0
We now have a factorable quadratic.
2(x+9)(x-10)=0
So by zero product property, x=-9, x=10 Since a measure cannot be negative, -9 is an extraneous solution.
So x=10
Then the width is 10 and the length is 18
Hope this helps! Let me know if it is correct!
Let's solve for p.
x3xp=x5
Step 1: Divide both sides by x^2.
px2x2=x5x2
p=x3
Answer:
p=x3
Step-by-step explanation:
1/6×100%=50/3%
3/24×100%=25/4%
3/8×100%=75/2%
=>50/3%+25/4%+75/2%+x=100%
=>100%-725/12%=x
=>x=59 and 5/12
