Answer:
a. 8x^3y^3
b. x^5
Step-by-step explanation:
Answer:
m∠A=90°, m∠B=60°, m∠C=30°
Step-by-step explanation:
step 1
Verify if the triangle ABC is a right triangle
Applying the Pythagoras theorem

----> is true
therefore
Is a right triangle
m∠A=90°
Find the measure of angle C
sin(C)=AB/BC
substitute
sin(C)=6/12=1/2
so
m∠C=30°
Find the measure of angle B
we know that
m∠C+m∠B=90°------> by complementary angles
so
m∠B=90°-30°=60°
Answer:
(a)
Distance from player should be 13.82 feet or 36.2 feet
(b)
The ball will go over the net
Step-by-step explanation:
we are given
The ball follows a path given by the equation

where
x and y are measured in feet and the origin is on the court directly below where the player hits the ball
(a)
net height is 8 ft
so, we can set y=8
and then we can solve for x





we can use quadratic formula




So, distance from player should be 13.82 feet or 36.2 feet
(b)
we can plug x=30 and check whether y=8 ft


we know that
height of net is 8 ft
so, the ball will go over the net
Answer:
(2, 14), (5, 12), (8, 10), (11, 8), (14, 6)
Step-by-step explanation:
Lets do the math for Pattern A:
2 + 3 = 5
5 + 3 = 8
8 + 3 = 11
11 + 3 = 14
Lets do the math for Pattern B:
14 - 2 = 12
12 - 2 = 10
10 - 2 = 8
8 - 2 = 6
6 - 2 = 4
Answer:
78.5 %
Step-by-step explanation:
the probability = π(2)² / (4×4) ×100%
= 4π /16 × 100%
= π/4 ×100%
= (π×25)%
= 3.14 × 25 %
= 78.5 %