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Naya [18.7K]
3 years ago
15

Tim has an irregularly shaped garden, as shown below. What is the area of his garden (in square feet)?

Mathematics
1 answer:
Grace [21]3 years ago
4 0
Answer is 174 ft2.


Area of triangle: 24 ft2

First, find the horizontal side of the triangle (using pythagorus).
16-10=6
root10^2 - 6^2 = 8 ft

Then work out the area of the triangle.
(8 x 6)/2 = 24 ft2

Secondly, find the area of the rectangle.
10 x 15 = 150 ft2

Then add up the area of the triangle and rectangle.

150+24= 174 ft2
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Start time 8:00 am elapsed time:5 hours,15 minutes what is the end time
Vladimir [108]
It would be 1:15 bc 8:00 +5 =1:00+15
3 0
3 years ago
Let Upper C left-parenthesis q right-parenthesis represent the cost, Upper R left-parenthesis q right-parenthesis the revenue, a
Dennis_Churaev [7]

Answer:

(a)$13

(b) Loss of $4

Step-by-step explanation:

C(q) represents Cost of producing q units.

R(q) represents Revenue generated from q units.

P(q) represents Total Profit made from producing q units.

Marginal analysis is concerned with estimating the effect on quantities such as cost, revenue, and profit when the level of production is changed by a unit amount. For example, if C(q) is the cost of producing q units of a certain commodity, then the marginal cost, MC(q), is the additional cost of producing one more unit and is given by the difference

MC(q) = C(q + 1) − C(q).

Using the estimation

C'(q)≈\frac{C(q+1)-C(q)}{(q+1)-q}=C(q+1)-C(q)

We find out that MC(q)=C'(q)

We can therefore compute the marginal cost by the derivative C'(q).

This also holds for Revenue, R(q) and Profit, P(q).

(a) If C'(50)=75 and R'(50)=88

51st item.

P'(50)=R'(50)-C'(50)

=88-75=$13

The profit earned from the 51st item will be approximately $13.

(b) If C'(90)=71 and R'(90)=67, approximately how much profit is earned by the 91st item.

P'(90)=R'(90)-C'(90)

=67-71= -$4

The profit earned from the 91 st item will be approximately -$4.

There was a loss of $4.

4 0
3 years ago
What is <img src="https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B5%7D%20%286-5p%29" id="TexFormula1" title="\frac{2}{5} (6-5p)" alt="\
weeeeeb [17]
Answer:
12/5 - 2p

Explanation:

2/5(6 - 5p)
2 • 6/5 + 2 • -5p
12/5 - 10p/5
12/5 - 2p
8 0
3 years ago
Indicate the equation of the line that is the perpendicular bisector of the segment with endpoints (4, 1) and (2, -5).
vladimir2022 [97]
What we know:
line P endpoints (4,1) and (2,-5) (made up a line name for the this line)
perpendicular lines' slope are opposite in sign and reciprocals of each other
slope=m=(y2-y1)/(x2-x1)
slope intercept for is y=mx+b

What we need to find: 
line Q (made this name up for this line) , a perpendicular bisector of the line p with given endpoints of  (4,1) and (2,-5)

find slope of line P using (4,1) and (2,-5) 
m=(-5-1)/(2-4)=-6/-2=3

Line P has a slope of 3 that means Line Q has a slope of -1/3.

Now, since we are looking for a perpendicular bisector, I need to find the midpoint of line P to use to create line Q. I will use the midpoint formula using line P's endpoints (4,1) and (2,-5).

midpoint formula: [(x1+x2)/2, (y1+y2)/2)]
midpoint=[(4+2)/2, (1+-5)/2]
              =[6/2, -4/2]
              =(3, -2)

y=mx=b       when m=-1/3 slope of line Q and using point (3,-2) the midpoint                                 of line P where line Q will be a perpendicular bisector

(-2)=-1/3(3)+b               substitution
-2=-1+b                           simplified
-2+1=-1+1+b                 additive inverse
-1=b

Finally, we will use m=-1/3 slope of line Q and y-intercept=b=-1 of line Q
y=-1/3x-1



4 0
3 years ago
Read 2 more answers
What is the value of x?
sattari [20]

Answer:

Step-by-step explanation:

0 + 2x = 10

2x = 10 -30

2x = -20

X = -20/ 2

X = -10

4 0
3 years ago
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