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3 years ago

Simplify ( 2 √ 5 + 3 √ 7 ) 2

Mathematics

1 answer:

k0ka [10]3 years ago

3 0

Apply the distributive property.
2√5 ⋅ 2+3√7 ⋅ 2 = 4√5+6√7 or 24.81877977

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A box with no top is to be constructed from a piece of cardboard whose length measures 5 in. more than its width. The box is to

ddd [48]

Answer:

$9\text{ inch, }14\text{ inch, }2\text{ inch}$

Step-by-step explanation:

GIVEN: A box with no top is to be constructed from a piece of cardboard whose length measures $5\text{ inch}$ more than its width. The box is to be formed by cutting squares that measure $2\text{ inch}$ on each side from the four corners and then folding up the sides.

TO FIND: If the volume of the box will be $100\text{ inch}^3$ , what are the dimensions of the piece of cardboard.

SOLUTION:

Let the width of cardboard be $x$

length of cardboard $=x+5\text{ inch}$

As box is formed by cutting $2\text{ inch }$ squares from corners of cardboard

length of cardboard $=x+5-4=x+1\text{ inch}$

width of cardboard $=x-4\text{ inch}$

height of cardboard $=2\text{ inch}$

volume of cardboard $=\text{length}\times\text{width}\times\text{height}$

$=2(x+1)(x-4)$

$x^2-3x-54=0$

solving we get

$x=9,-6$

width of cardboard $=9\text{ inch}$

length of cardboard $=x+5=14\text{ inch}$

height of cardboard $=2\text{ inch}$

8 0

4 years ago

oy is training for a triathlon. She runs a distance of 2x miles, cycles a distance of (x2 + 7) miles, and swims a distance of (x

Evgesh-ka [11]

Add
2x+x²+7+x-2
x²+3x+5 is the distance

7 0

3 years ago

I need help with the perimeter

spin [16.1K]

Step-by-step explanation:

1) Perimeter = 2(l + w)

Perimeter = 2(94 + 64)

Perimeter= 2(158) = 361 cm

2) Fabric required = Area

Area = l × b

Area = 94 × 64

Area = 6016 cm²

7 0

3 years ago

Read 2 more answers

Por que la estadística es una ciencia ???<br><br>

Volgvan

I would say that statistics is a mathematical subject that allows you to explain scientific data. In a similar fashion, you could use mathematics to explain the various idea in physics as you can use statistics to interpret the results of experiments and the data collected.

Hope that helped!

3 0

2 years ago

Number 14 I need someone to solve it for me please

mash [69]

8 ounce jar is 0.5 pounds
1.29 divided by 0.5= $2.6

2 pound jar
4.49 divided by 2= $2.3
hopefully this helped??

7 0

3 years ago