MATHEMATICS HIGH SCHOOL

What is the product of Seven square root eight times four square root five? Simplify your answer.

Answers

Answer 1

Answer:

Answer:

The value of expression is:

$56√(10)$

Step-by-step explanation:

We are asked to simplify the following expression:

product of Seven square root eight times four square root five.

i.e. Mathematically this expression is represented by:

$7√(8)* 4√(5)$

$=7* 4* √(8)* √(5)\n\n=28* √(8)* √(5)$

Also we know that:

$√(a)* √(b)=√(ab)$

Hence,

$√(8)* √(5)=√(40)=2√(10)$

Hence, The value of expression is:

$7√(8)* 4√(5)=56√(10)$

Answer 2

Answer:

7√8*4√5

= 56√10

I hope that's help and sorry for late answer ^...^

Related Questions

Express the following in power notation -8 ÷ 343
What is 3 3/5 divided by 2 1/4? :)
1. Elena bought 320 tropical fish for a museum display. She bought 7 times as many triggerfish as parrotfish. How many of each type of fish did she buy?Which is a system of equations to model the problem if x represents the number of parrotfish Elena bought and y represents the number of triggerfish she bought?A. x + 7y = 320y = 7xB. x + y = 7y = 320xC. x + y = 320y = 7xD. x−y=320y = 7x2. Nancy bought 360 tropical fish for a museum display. She bought 8 times as many goldfish as angelfish.How many of each type of fish did she buy?A. 40 angelfish, 320 goldfishB. 160 angelfish, 200 goldfishC. 20 angelfish, 160 goldfishD. 320 angelfish, 40 goldfish3. Michael and Kathryn bowl together and their combined total score for one game was 425 points. Michael’s score was 70 less than twice Kathryn’s. What were their scores?Which is a system of equations to model the problem if x represents Kathryn’s score and y represents Michael’s score?A. x + y = 70y = 2x – 425B. x + y = 425y = 2x – 70C. x – y = 425y = 2x – 70D. x + y = 425y = 2x + 704. Michael and Kathryn bowl together and their combined total score for one game was 425 points. Michael’s score was 70 less than twice Kathryn’s.What were their scores?A. Kathryn: 260, Michael: 165B. Kathryn: 150, Michael: 275C. Kathryn: 275, Michael: 150D. Kathryn: 165, Michael: 2605. A collection of nickels and dimes is worth $6.10. There are 67 coins in all.How many nickels are there?A. 12B. 18C. 49D. 55
Is sec (11 pi/6) equal to (2 sqrt 3/3)?
Katherine is three times older than Joel now. In twenty years Katherine will be six years older than Joel. How old is Katherine now?

What is 51/4 ÷ 22/7 ? A. 1219/64 B. 219/64 C. 2 D. 12

Answers

a. 1219/64

hope the answer helps you

The answer is B hope this helps :D

A rectangular yard has area 96 square feet. If the width of the yard is 4 ft less than length, what is the perimeter,in feet, of the yard?

Answers

Area of the rectangular yard = 96 square feet
Let us assume the length of the yard = x feet
Width of the yard = x - 4 feet
Then
Area of the yard = length * width
96 = x(x - 4)
96 = x^2 - 4x
x^2 - 4x - 96 = 0
x^2 - 12x + 8x - 96 = 0
x(x - 12) +8(x - 12) = 0
(x - 12)(x + 8) = 0
As the value of length cannot be negative so
x - 12 = 0
x = 12
So
Length of the yard = 12 feet
Width of the yard = x - 4 feet
   = 12 - 4 feet
   = 8 feet
Then
Perimeter of the yard = 2 (length + width)
   = 2(12 + 8)
   = 2 * 20 feet
   = 40 feet.
So the perimeter of the yard is 40 feet.

Liam has a bag of b beads. He gives 20 beads to his sister. He then makes 4 necklaces with the same number of beads on each necklace using all of the remaining beads. Write an expression that represents the number of beads on each necklace. Show your work.

Answers

The expression in one variable b that shows the number of beads on each necklace is (b-20)/4

What is an expression in one variable?

An expression in one variable is a statement formed by the using constants and an unknown variables and mathematical operators but sign is equal to is not used. Expression in one variable is linear if the power of the unknown variable is equal to one .

Standard form of linear expression in one variable x is ax +b , where a and b are constants .

Given that Liam has a bag of b beads

He gave 20 beads to his sister

Then, remaining beads = b -20

Remaining beads are used to make 4 necklaces

Let the beads on each necklace be x

Then beads in four necklaces = 4x

As, Remaining beads = beads in four necklaces

⇒4 x = b - 20

Dividing the equation by 4 on both sides

⇒ x = (b-20)/4

∴ The expression that shows the number of beads on each necklace is (b-20)/4

Also, Learn more about the expressions in one variable from the link below:

brainly.com/question/17272650

#SPJ1

Answer:

Step-by-step explanation:

just do 20 divided by 4 and you will get 5. Also, do 5x4 to make sure you let your teacher know that you got the right answer.

if the radius of a circle is 3.5 inches its diameter is ____ inches and its approximate area is____ square inches

Answers

Answer:

Diameter = 7 inches

Area of circle is 38.46 inches²

Step-by-step explanation:

Given :The radius of a circle is 3.5 inches.

We have to find its diameter and area.

Since diameter is twice of radius.

So radius = 3.5 inches

Diameter = 2× 3.5 inches = 7 inches

Area of circle = $\pi r^2$

Substitute, r = 3.5

Area of circle = $\pi (3.5)^2$

Simplify , we have,

Area of circle = $\pi 12.25$

Using π = 3.14

We have,

Area of circle = $38.465$

Thus, Area of circle is 38.46 inches²

The diameter is 7 inches and the area is 38.465. I got the answer by taking the area of a circle's formula which is

pi r ^2

Carl drew a rectangle with a width of 8 in. And a length of 32 in. Which rectangles are not similar to Carl’s rectangle? Select ALL that apply.

Answers

Answer:

1) A rectangle with width of 10 cm and length of 44 cm.

4) A rectangle with width of 9 mm and length of 45 cm.

Step-by-step explanation:

Given:

Length of the rectangle = 32 in.

Width of the rectangle = 8 in.

Now we will find the ratio of length by width.

$(length)/(width)= (32)/(8) = (4)/(1) \ \ \ \ equation \ 1$

Now we need to find from the given Option which rectangles are not similar to Carl's Rectangle.

So we will check for each.

1) A rectangle with width of 10 cm and length of 44 cm.

Now we will find the ratio of length by width.

$(length)/(width)= (44)/(10) = (11)/(5) \ \ \ \ equation \ 2$

Now we know that;

"When ratio of the dimension of corresponding rectangles are equal then the 2 rectangles are said to be similar."

Now Comparing equation 1 and equation 2 we get;

equation 1 $\neq$ equation 2

Hence This rectangle is not similar to Carl's rectangle.

2) A rectangle with width of 2.5 inch and length of 10 inch.

Now we will find the ratio of length by width.

$(length)/(width)= (10)/(2.5) = (4)/(1) \ \ \ \ equation \ 2$

Now we know that;

"When ratio of the dimension of 2 corresponding rectangles are equal then the 2 rectangles are said to be similar."

Now Comparing equation 1 and equation 2 we get;

equation 1 $=$ equation 2

Hence This rectangle is similar to Carl's rectangle.

3) A rectangle with width of 23 cm and length of 92 cm.

Now we will find the ratio of length by width.

$(length)/(width)= (92)/(23) = (4)/(1) \ \ \ \ equation \ 2$

Now we know that;

"When ratio of the dimension of 2 corresponding rectangles are equal then the 2 rectangles are said to be similar."

Now Comparing equation 1 and equation 2 we get;

equation 1 $=$ equation 2

Hence This rectangle is similar to Carl's rectangle.

4) A rectangle with width of 9 mm and length of 45 cm.

Now we will find the ratio of length by width.

$(length)/(width)= (45)/(9) = (5)/(1) \ \ \ \ equation \ 2$

Now we know that;

"When ratio of the dimension of corresponding rectangles are equal then the 2 rectangles are said to be similar."

Now Comparing equation 1 and equation 2 we get;

equation 1 $\neq$ equation 2

Hence This rectangle is not similar to Carl's rectangle.

What is the coefficient of x in the division (18x^3 + 12x^2 – 3x) / 6x^2?A) 3
B) 2
C) -0.5
D) -3

Answers

If you would like to know the coefficient of x, you can calculate this using the following steps:

(18x^3 + 12x^2 – 3x) / (6x^2) = (6x^2 + 4x - 1) / (2x) = 3x + 2 -1/(2x)

The correct result would be A) 3.

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