Hello,
1)
Let's put some name of vertex:
A with angle A=45°
B with angle B=90°
C The 3 vertex of the triangle of left.
AC=9 , y=AB=BC
With Pythagore, we can say: y²+y²=9²==>2y²=81===>y=9/√2=9√2/2
The other triangle is BDC: cos(60°)=x/y==>x=y*1/2=9√2/4
2)
Let's give some names:
A with angle A=60°
B with angle B=90
C the 3th vertex of the left triangle.
AB=10, BC=y
tan 60°=y/10=sin(60°)/cos(60°)=(√3/2)/(1/2)=√3==>y=10√3
D is the 3 th vertex of the right triangle.
We use Pythagore: y²+y²=x²
x²=2*(10√3)²===>x=10*√6
Answer:
26/65 = 2/5 and 6/13 = 30/65
Step-by-step explanation:
Hello!
The easiest way to find a common denominator is to find the factors of each denominator:
5: 1, 5
13: 1, 13
So the greatest common factor is 1. That means the smallest possible denominator will be 5 × 13 × 1.
5 × 13 × 1 = 65
So we can put each fraction with a denominator of 65.
65 ÷ 5 = 13
65 ÷ 13 = 5
So we will multiply each numerator by 13 and 5.
2 × 13 = 26
6 × 5 = 30
We will have 
Hope this helps!
:D
Tha last one PR=XY is not true.
It should be PR=XZ.
Answer:
22.4 grams
Step-by-step explanation:
66 times 0.34 is 22.44
22.44 rounded to the nearest tenth is 22.4
hope i helped :)
For this case we have the following expression:
<span>

By properties of exponents we have:
Same basis, the exponents are added.
We have then:

Then, rewriting the exponent we have:

Therefore, an exponent to rewrite the expression is:
2
Answer:
an exponent to rewrite the expression is 2.</span>