Answer:
I got this. Use the order PEMDAS search Up if you don’t know what it means.
Step-by-step explanation:
Start with What’s inside the parentheses
(X - 3) = 3x
(X + 5) = 5x
The divide.
How to divide it - The number coefficients are reduced the same as in simple fractions. When dividing variables, you write the problem as a fraction. Then, using the greatest common factor, you divide the numbers and reduce. You use the rules of exponents to divide variables that are the same — so you subtract the powers.
Distance formula : sqrt (x2 - x1)^2 + (y2 - y1)^2
(212,23)...x1 = 212 and y1 = 23
(6,23)......x2 = 6 and y2 = 23
now we sub
d = sqrt ((6 - 212)^2 + (23 - 23)^2)
d = sqrt ((- 206)^2 + (0^2))
d = sqrt (42436 + 0)
d = sqrt 42436
d = 206 miles <==
Answer:
There are 199 pairs of consecutive natural numbers whose product is less than 40000.
Step-by-step explanation:
We notice that such statement can be translated into this inequation:
Now we solve this inequation to the highest value of that satisfy the inequation:
The Quadratic Formula shows that roots are:
Only the first root is valid source to determine the highest possible value of , which is . Each natural number represents an element itself and each pair represents an element as a function of the lowest consecutive natural number. Hence, there are 199 pairs of consecutive natural numbers whose product is less than 40000.
Answer:
The price was reduced by about 53%
Step-by-step explanation:
Per cent of change = (amount of change) ÷ (original amount)
% change = (799.99 - 375.99)/799.99
= 424 / 799
= .5300
= 53 %
Answer:
A = 20°
AC = 6.6
BC = 2.4
Step-by-step explanation:
Given:
B = 70°
C = right angle = 90°
AB = 7
Required:
A, AC, and BC
Solution:
✔️A = 180 - (90 + 70) (sum of triangle)
A = 20°
✔️Use trigonometric function to find AC:
Refernce angle = 70°
Opp = AC
Hypotenuse = 7
Apply SOH,
sin 70 = Opp/Hyp
sin 70 = AC/7
7 * sin 70 = AC
6.57784835 = AC
AC = 6.6 (nearest tenth)
✔️Use trigonometric function to find Bc:
Refernce angle = 70°
Adj = BC
Hypotenuse = 7
Apply CAH,
cos 70 = Adj/Hyp
cos 70 = BC/7
7 * cos 70 = BC
2.394141 = BC
BC = 2.4 (nearest tenth)