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3 years ago

Find the slope of the graph

Mathematics

1 answer:

Allisa [31]3 years ago

4 0

Answer:

Step-by-step explanation:

use rise over run

rise is 3

run is 1

3/1=3

hope this helps :3

if it did pls mark brainliest

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5 23/100 mixed number as a decimal?

Citrus2011 [14]

5.23 because 523 divided by 100 will bring you to the solution of 5.23.

6 0

4 years ago

The manufacturing engineers of a renowned pizza brand reduced the manufacturing cost of a pizza delivery box by optimising the s

jekas [21]

Given: A pizza box's volume has been reduced by 25% by flattening the curved side of the box. The dimensions of the box are given.

Required: To determine the angle, the area of the sector of the top surface of the old box design, the area of the top surface of the newly designed box, and the volume, V, of the newly designed box. Also, determine the height of the box, h.

Explanation: The given box is-

If we draw a perpendicular as shown in the figure, the angle is bisected, and the side 24 cm is also bisected as the triangle on the top is an isosceles triangle. This can be easily proved by showing that the smaller triangles on the top face are congruent.

Next, we can use the trigonometric ratio sine to determine the angle as follows-

$\begin{gathered} sin\theta=\frac{12}{36} \\ \theta=sin^{-1}(\frac{1}{3}) \\ \theta=19.47\degree \end{gathered}$

Thus,

$2\theta=38.94\degree$

Next, the top of the new box is now a triangle with a base of 24 cm and a height-

$\begin{gathered} \text{ Height of triangle}=36cos\theta \\ =36cos(19.47\degree) \\ =33.94\text{ cm} \end{gathered}$

Hence, the area is-

$\begin{gathered} A=\frac{1}{2}\times24\times33.94 \\ =407.30\text{ cm}^2 \end{gathered}$

Now, the old box is a sector with a central angle of 38.94 degrees and a radius of 36 cm. Hence the area of the old box is-

$\begin{gathered} A=\frac{\theta}{360}\times\pi r^2 \\ \end{gathered}$

Substituting the values as-

$\begin{gathered} A=\frac{38.94}{360}\times3.14\times36\times36 \\ =440.18\text{ cm}^2 \end{gathered}$

Lastly, the volume of the new box is 25% less than the old box. Hence the volume of the new box is-

$\begin{gathered} V=\frac{25}{100}\times3277 \\ =819.25\text{ cm}^3 \end{gathered}$

We can determine the height as follows-

$\begin{gathered} Vol=Area\times h \\ \Rightarrow h=\frac{Vol}{Area} \end{gathered}$

Hence,

$\begin{gathered} h=\frac{819.25}{407.30} \\ =2.011\text{ cm} \end{gathered}$

Final Answer: A)

$2\theta=38.94\degree$

B) i) The area of the top of the old box=440.18 sq centimeters.

ii) The area of the top of the new box=407.30 sq centimeters.

C) i) The volume of the new box is 819 cubic centimeters.

ii) h=2.01 cm

8 0

2 years ago

An Item is regularly priced at $60. It is now priced at a discount of 65% off the regular price. What is the price now?

Ivanshal [37]

Answer:

$21

Step-by-step explanation:

There are two ways to do this question:

1. Multiply 60 by .65 and minus the product from the original price ($60)

2. Multiply 60 by .35 (This is because the discounted price maintains 35% of the regular price)

Let's do it both ways:

1. (60)(.65) = 39

60 - 39 = 21

2. (60)(.35) = 21

Therefore, the price now is $21.

<em>I hope this helps!!</em>

4 0

3 years ago

Read 2 more answers

Simplify 200xyz3 .

sdas [7]

Simplify the Integer part of the SQRT

Step-by-step explanation:

Factor 200 into its prime factors

200 = 23 • 52

5 0

4 years ago

HELP.

Nana76 [90]

C.) I believe is the correct answer

8 0

3 years ago

Read 2 more answers