Answer:
It will cost approximately $16.12 to varnish all the wooden planks.
Step-by-step explanation:
We are given the following in the question:
Number of rectangular planks = 12
Dimension of the rectangular wooden plank:
Length = 8 feet
Width = 3 feet
Area covered by I bottle of varnish = 125 Square feet
Cost of 1 bottle of varnish = 3.50 units
Area of 1 rectangular plot =

Total area to be covered by varnish =

Number of varnish bottles required =

Cost of varnishing =

Thus, it will cost approximately $16.12 to varnish all the wooden planks.
Answer:
We can break this down:
The student has a one out of five chance of getting a correct answer, and a four out of five chance of an incorrect answer. We can express the students odds of getting one incorrect answer as 4/5. In order to get the odds of two wrong answers, we need to multiply this answer again by the odds of choosing a wrong answer. Therefore:
The odds of one wrong answer = 4/5
The odds of two wrong answers = (4/5) * (4/5) = 16/25 chance of getting both of the questions wrong.
Step-by-step explanation:
D - the shortest distance from the ship to the shore.
d / ( 17 - x ) = tan 32° = 0.62487
d / x = tan 53° = 1.32704
d = 0.62487 ( 17 - x )
d = 1.32704 x
0.62487 ( 17 - x ) = 1.32704 x
10.62279 - 0.62487 x = 1.32704 x
x = 10.62279 : 1.95191
x = 5.44226 miles
d = 5.44226 · 1.32704
Answer:
d = 7.222 miles
Answer:
B
Step-by-step explanation:
The centre is at the midpoint of the endpoints of the diameter.
Using the midpoint formula, then
centre = (
,
) = (- 1, 1 ) → B
Answer:
2
Step-by-step explanation:
So I'm going to use vieta's formula.
Let u and v the zeros of the given quadratic in ax^2+bx+c form.
By vieta's formula:
1) u+v=-b/a
2) uv=c/a
We are also given not by the formula but by this problem:
3) u+v=uv
If we plug 1) and 2) into 3) we get:
-b/a=c/a
Multiply both sides by a:
-b=c
Here we have:
a=3
b=-(3k-2)
c=-(k-6)
So we are solving
-b=c for k:
3k-2=-(k-6)
Distribute:
3k-2=-k+6
Add k on both sides:
4k-2=6
Add 2 on both side:
4k=8
Divide both sides by 4:
k=2
Let's check:
:


I'm going to solve
for x using the quadratic formula:







Let's see if uv=u+v holds.

Keep in mind you are multiplying conjugates:



Let's see what u+v is now:


We have confirmed uv=u+v for k=2.