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3 years ago

ABCD is a trapezoid. Point E is the midpoint of AD and point F is the midpoint of B.

Mathematics

1 answer:

VikaD [51]3 years ago

6 0

2 cm. because you would subtract 5 and 3.

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Mai wants to make an open top box by cutting out corners of a square piece of cardboard and folding up the sides. The cardboard

Bumek [7]

Answer:

$V(x)=(4x^{3}-40x^{2}+100x)\ cm^3$

The domain for x is all real numbers greater than zero and less than 5 com

Step-by-step explanation:

The question is

What is the volume of the open top box as a function of the side length x in cm of the square cutouts?

see the attached figure to better understand the problem

Let

x -----> the side length in cm of the square cutouts

we know that

The volume of the open top box is

$V=LWH$

we have

$L=(10-2x)\ cm$

$W=(10-2x)\ cm$

$H=x)\ cm$

substitute

$V(x)=(10-2x)(10-2x)x\\\\V(x)=(100-40x+4x^{2})x\\\\V(x)=(4x^{3}-40x^{2}+100x)\ cm^3$

Find the domain for x

we know that

$(10-2x) > 0\\10> 2x\\ 5 > x\\x < 5\ cm$

The domain is the interval (0,5)

The domain is all real numbers greater than zero and less than 5 cm

therefore

The volume of the open top box as a function of the side length x in cm of the square cutouts is

$V(x)=(4x^{3}-40x^{2}+100x)\ cm^3$

5 0

3 years ago

(PLEASE HELP) Chloe has 40 lollipops of these lollipops 15 of them are blue and the rest are red what is the ratio of the number

statuscvo [17]

Answer:

25:15

Step-by-step explanation:

red:blue

4 0

3 years ago

Read 2 more answers

4x – 4 = – 12 X = ? What is X ?

maxonik [38]

Answer:

X=-2

Step-by-step explanation:

4x-4=-12

Add 4 on both sides

+4 +4

4x=-8

Divide by 4 on both sides

÷4 ÷4

X=-2

8 0

3 years ago

Read 2 more answers

What is x in this equation −4.5= −0.5(x − 7.1)

Umnica [9.8K]

Answer:

x=16.1

Step-by-step explanation:

$-4.5= -0.5(x -7.1)$

Divide both sides by -0.5

$9=x-7.1$

Add 7.1 to both sides

$16.1=x$

Hope this helps!

7 0

3 years ago

Liam makes soap sculptures of sea turtles. Each sculpture weighs 3\8 pounds he ships them in a wooden box that weighs 2 pounds t

wlad13 [49]

Answer:

8 turtles

Step-by-step explanation:

Each of Liam's sea turtle sculpture weighs 3\8 pounds and he ships them in a wooden box that weighs 2 pounds.

The weight of the box filled with the sea turtles is 5 pounds.

This means that the weight of the sea turtles in the wooden box is:

5 - 2 = 3 pounds

To find the number of sea turtles in the box, we simply divide the total weight of the turtles in the box by the weight of each turtle. That is:

$\frac{3}{\frac{3}{8} }$ = 8 turtles

There are 8 turtles in the box.

3 0

3 years ago