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saveliy_v [14]
3 years ago
9

I need help. Can someone help me please?

Mathematics
1 answer:
Katena32 [7]3 years ago
4 0
Split the shape into smaller regular shapes. Calculate the area of those then add it up.

triangle on left, base = 3 height = 8
area = 0.5(3)(8)
= 12

middle rectangle, width = 6 height = 8
area = 6(8)
= 48
 
small rectangle width = 2 height = 6
are = 6(2)
=12

two tiny triangles become a square side = 2
area = 2(2)
= 4

add them all up...

Total area = 12 + 48 + 12 + 4
= 76 units²

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An airliner maintaining a constant elevation of 2 miles passes over an airport at noon traveling 500 mi/hr due west. At 1:00 PM,
butalik [34]

Answer:

\frac{ds}{dt}\approx 743.303\,\frac{mi}{h}

Step-by-step explanation:

Let suppose that airliners travel at constant speed. The equations for travelled distance of each airplane with respect to origin are respectively:

First airplane

r_{A} = 500\,\frac{mi}{h}\cdot t\\r_{B} = 550\,\frac{mi}{h}\cdot t

Where t is the time measured in hours.

Since north and west are perpendicular to each other, the staight distance between airliners can modelled by means of the Pythagorean Theorem:

s=\sqrt{r_{A}^{2}+r_{B}^{2}}

Rate of change of such distance can be found by the deriving the expression in terms of time:

\frac{ds}{dt}=\frac{r_{A}\cdot \frac{dr_{A}}{dt}+r_{B}\cdot \frac{dr_{B}}{dt}}{\sqrt{r_{A}^{2}+r_{B}^{2}} }

Where \frac{dr_{A}}{dt} = 500\,\frac{mi}{h} and \frac{dr_{B}}{dt} = 550\,\frac{mi}{h}, respectively. Distances of each airliner at 2:30 PM are:

r_{A}= (500\,\frac{mi}{h})\cdot (1.5\,h)\\r_{A} = 750\,mi

r_{B}=(550\,\frac{mi}{h} )\cdot (1.5\,h)\\r_{B} = 825\,mi

The rate of change is:

\frac{ds}{dt}=\frac{(750\,mi)\cdot (500\,\frac{mi}{h} )+(825\,mi)\cdot(550\,\frac{mi}{h})}{\sqrt{(750\,mi)^{2}+(825\,mi)^{2}} }

\frac{ds}{dt}\approx 743.303\,\frac{mi}{h}

6 0
3 years ago
Please help me with this!
salantis [7]

The original area of a face would be a^2. Now that you added b to the edge, the new area of each face would be (a+b)^2. To find how much the are increased, subtract a^2 from (a+b)^2. (a+b)^2-(a^2)= a^2+2ab+b^2-(a^2)= 2ab+b^2= b(2a+b) So the answer is b(2a+b)

6 0
3 years ago
Read 2 more answers
Find the length of the arc on a circle of radius r intercepted by a central angle . (Round your answer to two decimal places.)
maria [59]
Keep it up bro it’s b or a
6 0
2 years ago
Jaida read 375 in 3 days how many pages does she read in one day
Genrish500 [490]

Answer:

<h2>She reads 125 pages each day.</h2>

Step-by-step explanation:

<h3>You just divide 375 by 3</h3><h3>hope this helps :)</h3>
4 0
3 years ago
It takes Mara 15 minutes to walk to her friends house 1 2/3 miles away. What is her walking pace in miles per hour?
algol13
The answer is 6 2/3 per hour
6 0
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