Find the perimeter of a rectangle whose length is 150 m and the diagonal is 170 m
Answers
Answer:
460 m
Step-by-step explanation:
Use right triangle PSR with right angle S to find the length of PS.
The Pythagorean theorem can be used for this.
a^2 + b^2 = c^2
(PS)^2 + (SR)^2 = (PR)^2
(PS)^2 + (150 m)^2 = (170 m)^2
(PS)^2 = 22500 m^2 = 28900 m^2
(PS)^2 = 6400 m^2
PS = 80 m
PS = 80 m; SR = 150 m
perimeter = 2(length + width)
perimeter = 2(150 m + 80 m)
perimeter = 2(230 m)
perimeter = 460 m
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Pls help I will give brainiest answer.
Which of the following shows the intersection of the sets? {1, 5, 10, 15} {1, 3, 5, 7}
Answers
9514 1404 393
Answer:
31.41 ft²
Step-by-step explanation:
Heron's formula is useful when you have the three side lengths.
A = √(s(s -a)(s -b)(s -c)) . . . . sides are a, b, c and s = (a+b+c)/2
Using the given side lengths, we have ...
s = (8 +8.4 +13.5)/2 = 29.9/2 = 14.95
A = √(14.95(14.95 -8)(14.95 -8.4)(14.95 -13.5)) = √(14.95×6.95×6.55×1.45)
A = √986.81399375 ≈ 31.41 . . . . square feet
Answers
Answers
Answer:
the answers are
13) -6
14) 6
15) -5
16) 3
17) 14
18) -4
19) -15
20) 4
21) 5
22) -12
Answers
Look at the millions place. 1 is in the millions place.
Now look at the number to the right of 1.
Since it is 5 or greater, round 1 up to 2.
Change all the numbers after 1 to 0.
1,563,385 rounded to the nearest million is 2,000,000.
Length: __ feet
Width: __ feet
Answers
Step-by-step explanation:
the perimeter (the way one time around it) of a rectangle is
2×length + 2×width
length = 3×width
2×(3×width) + 2×width = 160
6×width + 2×width = 160
8×width = 160
width = 160/8 = 20 ft
length = 3×width = 3×20 = 60ft
Answers
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)≈[TeX]\frac{C(q+1)-C(q)}{(q+1)-q}[/TeX]=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.