Answer:
≈ 9.4 cm
Step-by-step explanation:
P(-4, -2), Q(4,3)
d= √(x2-x1)²+(y2-y1)²=√ (4+4)²+(3+2)²= √64+25 = √89 ≈ 9.4 cm
75 miles
if u do 15x5 you will get 75 and that's how many miles you will get
The value of y that ensures the pool is a rectangle is 3. Option D
<h3>How to determine the value</h3>
The formula for perimeter of a rectangle is expressed as;
Perimeter = 2 ( length + width)
It is important to note that parallel sides of a rectangle are congruent, that is, they are equal.
Given the sides as;
5y + 6 = 8y -3
collect like terms
5y - 8y = -3 - 6
-3y = -9
Make 'y' the subject
y = 3
Thus, the value of y that ensures the pool is a rectangle is 3. Option D
Learn more about rectangles here:
brainly.com/question/25292087
#SPJ1
Using the Fundamental Counting Theorem, it is found that she can choose 180 different meals.
<h3>What is the Fundamental Counting Theorem?</h3>
It is a theorem that states that if there are n things, each with 
ways to be done, each thing independent of the other, the number of ways they can be done is:
In this problem:
- For the meat, there are 3 outcomes, hence
.
- For the two vegetables, 2 are taken from a set of 6, hence, applying the combination formula,
.
- For the dessert, there are 4 outcomes, hence
.
Then:
She can choose 180 different meals.
To learn more about the Fundamental Counting Theorem, you can take a look at brainly.com/question/24314866
Answer: The store must sell 40 bikes.
Step-by-step explanation:
y=60x+2400
y=120x
120x=60x+2400
-60x on both sides
60x=2400
divide 60 on both sides
2400/60=40
x=40
