Pythagorean theorem:
a^2+b^2=c^2 (C^2 always is the hypotenuse)
21^2+b^2=29^2
441+b^2=841
841-441=400
square root of 400 is 20
Your answer is 20
A triangle has a total angle of 180 degrees. Since we know
that angle X = angle N = 20 degrees and angle Y = angle M = 75 degrees,
therefore angle Z or angle L is equal to:
angle L = 180 – 20 – 75
<span>angle L = 85
degrees</span>
Therefore w is:
angle L = 5 (w – 2)
5 (w – 2) = 85
w – 2 = 17
<span>w = 19</span>
Answer:
Step-by-step explanation:
3 log 2+log (x-4)=log 2³+log (x-4)=log 8+log (x-4)=log 8(x-4)
Answer:
x=1; y=2; z=3
Step-by-step explanation:
Rearrange for convince:
2y-4z+6x = -2
-4y+2z-3x=-5
-6y+3z+4x=1
Now we take to pairs and eliminate the same var.:
2y-4z+6x = -2 *2
-4y+2z-3x=-5
and
-4y+2z-3x=-5 *-3
-6y+3z+4x=1. *2
We get:
4y-8z+12y=-4
-4y+2z-3x=-5
= -6z+9x=-9
and
12y-6x+9x=15
-12y+6x+8x=2
= 17x=17
We now know x = 1, so z is:
-6z+9=-9
-6z=-18
z=3
Let’s grab the first formula and find y:
6+2y-12=-2
6+2y=10
2y=4
y = 2
Answer:
$6.72
Step-by-step explanation:
The store is selling lemons at $0.56 each. Each lemon yields about 2 tablespoons of juice.How much will it cost to buy enough lemons to make three 9-inch lemon pies, each requiring half a cup of lemon juice?
1 cup = 16 table spoon of juice
half a cup = 8 table spoon of juice
1 pie require half a cup of lemon juice. so 1 pie requires 8 tablespoon of lemon juice
Each lemon yields about 2 tablespoons of juice
2 times 4 = 8
So 4 lemon needed to make a pie
cost of 1 lemon = 0.56
cost of 4 lemons = 
cost of lemon for making 3 pie= 
