Answer:Kirk is taller than Joey by 8 inches
Step-by-step explanation:
Step 1
Kirk's height is given as =5 feet 4 inches tall.
Joey's height 4 feet 8 inches tall
Difference in height = 5 feet 4 inches
- 4 feet 8 inches
=
Step 2
Bear in mind that 12 inches = 1 feet . Now,8 cannot be subtracted from 4 , so we borrow 1 feet from 5feet, which is equivalent to 12 inches and add to inches so it becomes
4 feet (12+4)inches = 4 feet 16inches
- 4 feet 8 inches - 4 feet 8 inches
= 8 inches
Therefore Kirk is taller than Joey by 8 inches
Answer:
18.85 rounded
Step-by-step explanation:
The length of an arc depends on the radius of a circle and the central angle Θ. We know that for the angle equal to 360 degrees (2π), the arc length is equal to circumference. Hence, as the proportion between angle and arc length is constant, we can say that:
L / Θ = C / 2π
As circumference C = 2πr,
L / Θ = 2πr / 2π
L / Θ = r
We find out the arc length formula when multiplying this equation by Θ:
L = r * Θ
Hence, the arc length is equal to radius multiplied by the central angle (in radians).
Answer:
hundreds
Step-by-step explanation:
hundreds because in the hundreds place in the number 62996 there's number 9, which it's greater than 4, so it will add 1 to the thousands and all the numbers in the right will be zero
Answer:
A) x = {5, 7}
B) The solutions make the equation true.
Step-by-step explanation:
<u>Part A</u>:
To solve this by factoring, you need to find factors of 35 that have a sum of -12. Since 35 is the product of two primes, the search is a short one.
35 = (-1)(-35) = (-5)(-7)
The corresponding sums are -36 and -12, so the latter factor pair is the one we want. Since the coefficient of x^2 is 1, we can use these numbers directly in the binomial factors:
x^2 -12x +35 = (x -5)(x -7) = 0
The zero product rule tells us this product is zero only when one of the factors is zero:
x -5 = 0 ⇒ x = 5
x -7 = 0 ⇒ x = 7
The two solutions are x=5 and x=7.
__
<u>Part B</u>:
The solutions from part A are the x-intercepts of the graph of the quadratic expression. They are the values of x that make the quadratic expression be zero. That is, they are the values of x that make the equation true.