The area of polygon D is given by:
Ad = k ^ 2 * Ac
Where,
k: scale factor
Ac: area of polygon C
Substituting the values we have:
Ad = (1/2) ^ 2 * (40)
Ad = (1/4) * (40)
Ad = 10 square units
Answer:
the area of Polygon D is:
Ad = 10 square units
His annual salary as a pharmacist is $51,200
There are a total of 52 weeks in an year.
(a) Weekly salary = annual salary/ number of weeks = 51,200/52 = $984.62 (rounded to the nearest cent)
Howard's weekly salary to the nearest cent = $984.62
(b) His salary in first three weeks = 984.62*3 = $2,953.85
Howard's earnings during the first three weeks to the nearest cent = $2,953.85
(c) He has to pay the agency 40% of his three week salary which is = 0.4*2953.85 =1,181.54
Howard must pay to the employment agency to the nearest dollar = $1,182
Acceleration is:
a=g
Velocity is the integral of the above
v=gt+v0
And position is the integral of the above
h=gt^2/2+v0t+h0
You are given that v0=15ft/s and h0=0ft and let g≈-32 so
h(t)=-16t^2+15t
It will hit the ground when h(t)=0 so:
0=-16t^2+15t which is equal to
16t^2-15t=0 factor
t(16t-15)=0, since we are looking for the time other than zero...
t=15/16 of a second :)
So they obviously just rounded to one whole second. So C.) was the correct answer. (Although I would say they are all wrong because they didn't SAY to round the answer :P) Haha, not trying to confuse you, the answer is most likely C. because they had the correct equation.
Answer:
D. All three chose a valid first step toward solving the equation.
Step-by-step explanation:
Aaron, Blaine, and Cruz are solving the equation 4/7 (7 − n) = −1. Aaron started his solution by multiplying both sides of the equation by 7/4 . Blaine started by using the distributive property to multiply 4/7 by both 7 and −n. Cruz started by dividing both sides of the equation by 4/7 .
Which of the following is true?
A. Blaine and Cruz made an error in picking their first steps.
B. Cruz made an error in picking his first step.
C. All three made an error because the right side equals -1.
D. All three chose a valid first step toward solving the equation.
Given:
4/7(7 - n) = -1
Aaron:
4/7(7 - n) = -1
Multiple both sides by 7/4
4/7(7 - n) * 7/4 = -1 * 7/4
7 - n = -7/4
- n = -7/4 - 7
- n = (-7-28)/4
- n = -35/4
n = 35/4
Blaine:
4/7(7 - n) = -1
4/7(7 - n) × 7 = -1 × 7
4(7 - n) = -7
28 - 4n = -7
-4n = -7 - 28
- 4n = - 35
n = -35/-4
n = 35/4
Cruz:
4/7(7 - n) = -1
Divide both sides by 4/7
4/7(7 - n) ÷ 4/7 = -1 ÷ 4/7
4/7(7 - n) × 7/4 = -1 × 7/4
7 - n = -7/4
- n = (-7-28)/4
- n = -35/4
n = 35/4
D. All three chose a valid first step toward solving the equation.
The correct answer would be 2x2+ 7x + 1, 3x2 + 8 and x2 + 36. These polynomials cannot be reduced to a lower degree where the factors are integers so they should be prime. The factors are as follows:
<span>2x2+ 7x + 1 -0.1492189406 and -3.350781059
5x2 – 10x + 5 1 and 1
3x2 + 8 1.632993162i and - </span>1.632993162i<span>
4x2 – 25 5/2 and -5/2
x2 + 36 6i and -6i</span>
