Answer:
Factored form of x^2+3x+xy is x(x + 3 + y)
Step-by-step explanation:
x^2+3x+xy
Factor form ;
= x (x + 3 + y)
Answer:
Area of shaded region = 134.13 square feet
Step-by-step explanation:
Area of the shaded region = Area of square - Area of circle
Answer:
x = 25
Step-by-step explanation:
Since ∠ A = ∠ B then the triangle is isosceles and AC = BC , that is
4x - 30 = 2x + 20 ( subtract 2x from both sides )
2x - 30 = 20 ( add 30 to both sides )
2x = 50 ( divide both sides by 2 )
x = 25
5 = side a
3 = side c
angle B = 62 degrees
JK is side b
<span><span>Use the Law of Cosines to find the length of side b.</span><span>
<span>b^2 = </span><span>a^2 + c^2 − 2ac cos(B)</span></span><span> <span>
b^2 = </span><span>(5^2 + 3^2) − ( 2 x 5 x 3) cos(62°)</span></span><span> <span>
b^2 = </span>(25 + 9) − 30 x 0.469</span><span> <span>
b^2 = </span>34 - 30 x 0.469</span><span> <span>
b^2 = </span>34 - 14.084</span><span> <span>
b^2 = </span>19.916</span><span>
b = √19.916</span><span>
b = 4.463
Rounded to the nearest tenth is 4.5 mm.
Hope this helps!</span></span>
Answer: 5:8
Step-by-step explanation:
Given: Total animals in the pet store = 40
Number of animals that are puppies= 15
Number of animals that are not puppies= 40- 15 = 25
Now , the ratio of A to B = 
or A : B.
So, the ratio of animals that are not puppies to the total number of animals for sale at the pet store = 
Divide numerator and denominator by 5 , we get 
.
Hence, the required ratio = 5:8
