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andrezito [222]
3 years ago
8

PLEASE HELP BEING TIMED

Mathematics
1 answer:
maks197457 [2]3 years ago
4 0
They need to sell 3 t-shirts to break even. They will have incurred $60 in costs and collected the same amount in sales. Sorry if this is late :,(
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a rectangle is 8cm longer then it is wide, and it’s area is 153cm^2. Find the dimensions of the rectangle.
Stolb23 [73]

Answer:

Width of 9cm and length of 17cm.

Step-by-step explanation:

To calculate an area of a rectangle, use the formula A=l*w. We know the length is 8cm longer than the width. So l = 8 + w. So the area is A= (8+w)*w.

We also know the area is 153. Substitute this value for A and solve.

153 = (8+w)(w)\\153 = 8w+w^2\\w^2+8w-153 = 0

To solve the quadratic, use the quadratic formula:

\frac{-b+/-\sqrt{b^2-4ac} }{2a}

Here a=1, b=8 and c=-153.

w=\frac{-b+/-\sqrt{b^2-4ac} }{2a} \\w=\frac{-8+/-\sqrt{8^2-4(1)(-153)} }{2(1)} \\w=\frac{-8+/-\sqrt{64+612} }{2} \\w=\frac{-8+/-\sqrt{676} }{2} \\w=\frac{-8+/-26 }{2} \\w=\frac{-8+26 }{2}=\frac{18}{2}=9 \\and\\w=\frac{-8-26 }{2} =\frac{-34}{2}=-17

Since w=9 or w=-17, substitute this value for w in l= 8+w to find l.

l = 8+9 = 17

or

l=8+-17 = -9

Since length cannot be positive, it must be l=17 and w=9.

8 0
3 years ago
What is the answer lol somebody help me please and thank you !
PilotLPTM [1.2K]

I'm guessing that you know about 45-45-90 and 30-60-90 triangles.

In 45-45-90 triangles, the legs are in a ratio such that the hypotenuse is \sqrt{2} times the legs.

In 30-60-90 triangles, the legs are in a ratio of 1:\sqrt{3}:2

In the picture given we have been given a value of the side of the 45-45-90 triangle. We can deduce that the value of the hypotenuse is 9\sqrt{2} because of the ratio of the sides of a 45-45-90 triangle.

The 30-60-90 triangle shares the same hypotenuse, and so we now know a value of one of its sides as well. The ratio of the side of value 'x' and the hypotenuse is \sqrt{3} : 2

We can create an equation to solve for x using these ratios:

\frac{\sqrt{3} }{2} = \frac{x}{9\sqrt{2} }

Cross multiply:

2x = 9\sqrt{6}

x = \frac{9\sqrt{6} }{2}

Option C

4 0
3 years ago
Find the figure of the volume
Kipish [7]

Answer:

1300 ft

Step-by-step explanation:

to calculate volume you multiple LengthxHeightxWidth

20 x 13 x 5 = 1300

6 0
3 years ago
If f(x) is the height, in cm, of a sunflower plant that is x days old, which of the following statements best describes the mean
mario62 [17]

Answer:

B

Step-by-step explanation:

We are given f(x) is height in cm while x is days old.

We are also given f(60)=210.

If you compare f(60) to f(x) you should see that x is 60 so we have the sunflower is 60 days old.  Since f(60)=210, then you have the height of the sunflower is 210 cm tall.

7 0
3 years ago
I need it ASAP pls help
Dovator [93]

Answer:

hii it's Ubong here is the answer for math homework

1) a

2)a

3) b

4) idk

5) a

am i right

4 0
3 years ago
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