Answer: C
<u>Step-by-step explanation:</u>
28 40
∧ ∧
4 7 4 10
∧ ∧ ∧
2 2 2 2 2 5
28: <u>2 * 2</u> * 7
40: <u>2 * 2</u> * 2 * 5
What do they have in common? two 2s
GCF: 2 * 2 = 4
Answer:
min
Step-by-step explanation:
In order to solve this problem, we must subtract the times he has already used from the time he has available, so we get:
we can start solving this subtraction by turning all of the numbers into improper fractions so we get:
next, we can find a least common denominator. In this case it will be 4, so we need to turn all denominators into a 4, so we get:
and now we can subtract the numerators and copy the denominators so we get:
which can now be turned into a mixed number by dividing 47/4 which yields 11 with a remainder of 3, so the mixed number is:
min
and this is the amount of time he has available to solve the las problem.
Answer:
2.25
Step-by-step explanation:
1.5 x 1.5 = 2.25
Answer:
180degrees
Step-by-step explanation:
Given the expression cos^2x - cos x - 2 = 0
Let P = cos x
P^2 - P - 2 = 0
Factorize
P^2 - 2P + P - 2 =0
P(P-2)+1(P-2) = 0
P-2 = 0 and P + 1 = 0
P = 2 and P = -1
Since P = cos x
cos x = -1
x = arccos(-1)
x = 180degrees
Hence the require angle is 180degrees
Solution:
Equation of line perpendicular to , x=4 is
y +k=0
As, keep in mind , the equation of line perpendicular to , ax + by +c=0 is b x - a y +c=0
As, given the line perpendicular to, x =4, passes through the point (5,7).
So, y+k =0, passes through (5,7).
→ 7 +k=0
→ k= -7
So, line perpendicular to x=4, which passes through the point (5,7) is →y-7=0 that is y=7.
Option (C) →y=7
