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2 years ago

Show all ways you can use to find the area of the rectangle

Mathematics

1 answer:

marin [14]2 years ago

6 0

• WxL (width multiplied by length)!l
• creating a two right angled triangles, finding the area through the Pythagoras theorem for both triangles and then add both areas together

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How do you solve it?

Elis [28]

At heart we're being asked for a line through two points,

$(40^\circ \textrm{ C}, 355 \textrm { m/s}) \quad \textrm{and} \quad (49^\circ \textrm{ C}, 360 \textrm { m/s})$

In general the line through (a,b) and (c,d) is

$(y-b)(c-a)=(x-a)(d-b)$

Check that you understand why both (a,b) and (c,d) are on this line.

Here our indepedent variable, instead of x, is T, temperature. Our dependent variable is v, velocity. Substituting,

$(v - 355)(49 - 40) = (T - 40)(360 - 355)$

$9(v - 355) = 5(T - 40)$

$v-355 = \frac 5 9 T - \frac{200}{9}$

$v= \frac 5 9 T - \frac{200}{9} + 355$

$v= \frac 5 9 T + \frac{2995}{9}$

That's our answer; let's check it.

When T=40, v = (5/9)40 + (2995/9) = 355 good

When T=49, v= (5/9)49 + (2995/9) = 360 good

7 0

2 years ago

Dan drove 737 miles in 11 hours. At the same rate, how many miles would he drive in 13 hours?

kari74 [83]

Answer:

871

Step-by-step explanation:

737 divided by 11 is 67, so thats how many miles he drives per hour

67 times 13 is 871

3 0

2 years ago

Read 2 more answers

Let R(x), C(x), and P(x) be, respectively, the revenue, cost, and profit, in dollars, from the production and sale of x it

sp2606 [1]

Answer:

$P(x) = -0.004x^2 - 3.7x - 50$

Step-by-step explanation:

We have to find profit $P(x)$ .

This can be easily found using a formula for Profit given the Revenue and Cost.

$Profit = Revenue - Cost$

$P(x) = R(x) - C(x)$

Given that:

$R(x) = 6x$

$C(x) = 0.004x^2 + 2.3x + 50$

to find P(x) we can simply subtract R(x) by C(x).

$P(x) = R(x) - C(x)$

$P(x) = (6x) - (0.004x^2 + 2.3x + 50)$

$P(x) = 6x - 0.004x^2 - 2.3x - 50$

and finally, after simplify this equation subtracting 6x by 2.3x.

this is the equation for the profit $P(x)$

$P(x) = -0.004x^2 - 3.7x - 50$

3 0

2 years ago

Create a pattern with the rule. -4.

Bumek [7]

One pattern is 22, 18, 14, 10, 6, 2 hope this helps just keep subtracting 4. You can go from the highest number to the lowest. Thanks for asking!

7 0

2 years ago

Length of two sides of a triangle is given as 4cm and 4cm which triangle is this

My name is Ann [436]

Answer:

isosceles triangle

Step-by-step explanation:

two equal sides. is this the question only?

6 0

2 years ago

Read 2 more answers