9514 1404 393
Answer:
8 people
Step-by-step explanation:
If 20 of 140 people play tennis, then in a group of 504 people, we expect ...
(20/140) × 504 = 72 . . . . tennis players
If 1 of 9 tennis players has a coach, then in a group of 72 tennis players, we expect ...
(1/9) × 72 = 8 . . . . have a coach
We expect 8 of the 504 people have a tennis coach. We made this prediction by applying the given rates to the larger group.
A certain allergen affects approximately 7 people per 10,000 in the United States. Assuming the U.S. population is approximately 324 million people, how many people suffer from this allergen?
A certain allergen affects approximately 7 people per 10,000 in the United States. Assuming the U.S. population is approximately 324 million people, how many people suffer from this allergen?
Answer:
- (x² + 2y² + 2xy)(x² + 2y² - 2xy)
Step-by-step explanation:
<h3>Given binomial:</h3>
x⁴ + 4y⁴
In order to factorize it, follow the steps:
<h3>Complete the square:</h3>
- x⁴ + 4y⁴ =
- (x²)² + 2*(x²)*(2y²) + (2y²)² - 2*(x²)*(2y²) =
- (x² + 2y²)² - (2xy)² =
- (x² + 2y² + 2xy)(x² + 2y² - 2xy)
Used identities:
- (a + b)² = a² + 2ab + b²
- a² - b² = (a + b)(a - b)
The other angles in the isosceles triangle with an angle of 100° will be 40°
Step-by-step explanation:
Lets define an isosceles triangle first.
"An isosceles triangle is a triangle with two equal sides and two equal angles.
Given that an angle of the triangle is 100°
We know that the sum of internal angles of a triangle is 180°
The sum of remaining two angles is:
=180°-100°
=80°
As the triangle is an isosceles triangle, the two angles will be equal.
So the angles will be:
The other angles in the isosceles triangle with an angle of 100° will be 40°
Keywords: Triangle, isosceles triangle
Learn more about isosceles triangle at:
#LearnwithBrainly
83x + P = 83x + Q <em>subtract 83x from both sides</em>
P = Q
The equation has no solution for P different Q (P ≠ Q).
