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3 years ago

Find the distance between the given points. Round to the nearest tenth.

Mathematics

1 answer:

Elena-2011 [213]3 years ago

7 0

-1/8 because Yu can use rise over run

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A manufacturer cuts squares from the corners of a rectangular plece of sheet metal that measures 2 inches by 7 inches (see Figur

Vladimir79 [104]

Answer:

The value of x that maximizes the volume enclosed by this box is 0.46 inches

The maximum volume is 3.02 cubic inches

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

The volume of the open-topped box is equal to

$V=LWH$

where

$L=(7-2x)\ in\\W=(2-2x)\ in\\H=x\ in$

substitute

$V=(7-2x)(2-2x)x$

Convert to expanded form

$V=(7-2x)(2-2x)x\\V=(14-14x-4x+4x^{2})x\\V=14x-14x^2-4x^2+4x^{3}\\V=4x^{3}-18x^{2} +14x$

using a graphing tool

Graph the cubic equation

Remember that

The domain for x is the interval -----> (0,1)

Because

If x>1

then

the width is negative (W=2-2x)

The maximum is the point (0.46,3.02)

see the attached figure

therefore

The value of x that maximizes the volume enclosed by this box is 0.46 inches

The maximum volume is 3.02 cubic inches

8 0

3 years ago

Help me plsssssssssssssss

Monica [59]

Step-by-step explanation:

This figure has 1 line of symmetry

4 0

3 years ago

7/10-1/2=<br> what is seven tenths minus one half

Setler [38]

You could make them have the same denominator, making it 7/10-5/10=2/10.
The answer is 2/10, or simplified, 1/5.

5 0

3 years ago

Solve for x and y pls

Paraphin [41]

X is a 90 degree angle so x equals half of 90 which is 45
X= 45
Since x is 45 the other angle on the other side is 45
Every triangle equals 180 so you take 45+45 to get 90 and subtract that from 180 and get 90
Y= 90
hope this helped ask questions

8 0

3 years ago

What is math ?

OLEGan [10]

Answer:

math is basically how to understand

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers