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3 years ago

Can someone help please

Mathematics

1 answer:

Trava [24]3 years ago

4 0

9514 1404 393

Answer:

16.4

Step-by-step explanation:

The law of cosines is useful here. It tells you ...

b^2 = a^2 + c^2 -2ac·cos(B)

b^2 = 22^2 +10^2 -2·22·10·cos(44°)

b^2 ≈ 267.49

b ≈ √267.49 ≈ 16.35514

b ≈ 16.4

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A group of retailers will buy 104 televisions from a wholesaler if the price is $300 and 144 if the price is $250. The wholesale

stepladder [879]

Answer:

The required equilibrium point is (356.538,58.769)

Step-by-step explanation:

The two points on your demand equation are : (300,104) and (250,144)

Take the number of televisions on y-axis and the price of the television on x-axis

Now, to find the demand equation for the given problem, find slope using the above two points :

$\implies Slope=\frac{144-104}{250-300}\\\\\implies Slope = -\frac{4}{5}=-0.8$

And the y - intercept is : y = -0.8x + b

Find the value of b using any point. Let us take (250,144)

144 = -0.8 × 250 + b

⇒ b = 144 + 200

⇒ b = 344

So, the y-intercept is : y = -0.8x + 344

The two points on your supply equation are : (225,88) and (315,68)

Take the number of televisions on y-axis and the price of the television on x-axis

Now, to find the supply equation for the given problem, find slope using the above two points :

$\implies Slope=\frac{68-88}{315-225}\\\\\implies Slope = -\frac{2}{9}$

And the y - intercept is :

$y = -\frac{2}{9}x + b$

Find the value of b using any point. Let us take (225,88)

$88 = -\frac{2}{9}\times 225 + b\\\\\implies b = 88 + 50\\\\\implies b = 138$

So, the y-intercept is :

$y = -\frac{2}{9}x + 138$

To find the equilibrium point, solve both the y-intercepts of the demand equation and the supply equation :

⇒ x = 356.538 and y = 58.769

Hence, the required equilibrium point is (356.538,58.769)

8 0

2 years ago

How can I solve this question

Rus_ich [418]

To find the volume of the prism, you need to know the length, height, and width.
since the length is 4 blocks wide, you can multiply 4 by the length of a single block. 4*1/2 = 4/2. do this for the height and width
Length 4/2
height 7/2
width 3/2
you would then multiply all of them together.
to multiply fractions, just multiply the numerators together and the numerators together

4/2*7/2*3/2 = 84/8
both 84 and 8 are divisible by 4 so you could simplify the fraction to 21/2
the answer is C

3 0

3 years ago

A Parachutes speed during a freefall reaches 108 mph. What is the speed in feet per second? At this speed, how many feet with a

Slav-nsk [51]

The speed would be 158.4fps and the parachutist would fall 2,376 feet during 15 seconds.

7 0

3 years ago

X + 7 < 15<br> I need to know what this answer is and quick

sergij07 [2.7K]

Answer:

x<8

Step-by-step explanation:

x+7<15

x<15-7

x<8

$hope \: it \: helps$

4 0

3 years ago

What is the solution to y = x + 2 and y = 3x – 2 and how do you know? PLEASE HELPPPPP! THANK U!

Nutka1998 [239]

Answer:

(2,4)

Step-by-step explanation:

We have the system:

y=x+2

y=3x-2.

This is already setup for substitution.

I'm going to replace my first y with what the second y equals.

That is, I'm going to write 3x-2=x+2.

Time to solve the following for x:

3x-2=x+2

Subtract x on both sides:

2x-2= 2

Add 2 on both sides:

2x. = 4

Divide both sides by 2:

x. = 2

Now that we know x=2 and we have an equation that relates x to y: either y=x+2 or y=3x-2, doesn't matter which we use, we can find y.

So we y=x+2 with x=2 which means y=2+2=4.

So the solution, the intersection, is (2,4).

5 0

3 years ago

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