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3 years ago

What is the length of the diagonal of the square shown below?

Mathematics

1 answer:

amid [387]3 years ago

5 0

Answer:

$7\sqrt{2}$

Step-by-step explanation:

Given is a picture of a square with each side = 7 units

Since a square is right angled we have the diagonal bisecting the square into two isosceles right triangles.

Use Pythagorean theorem to get the diagonal length.

Hence diagonal = $\sqrt{7^2+7^2} =7\sqrt{2}$

Alternate method:

Find the length of the diagonal of a square, multiply the length of one side by the square root of 2: If the length of one side is x, then diagonal will have length as

$x\sqrt{2}$

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the total attendance at a concert in a theater hall was 1500, of this total 400 were children,850 were women , and the remaining

AleksandrR [38]

Answer:

Below!

Step-by step explanation:

We know that:

400 + 850 + m = 1500

Solution of Question A:

Percent of children: Total children/Total attendance

=> 400/1500
=> 4/15
=> 0.27 (Rounded to nearest hundredth)
=> 0.27 x 100
=> 27%

Hence, the percent of children is about 27%.

Solution of Question B:

Percent of women: Total women/Total attendance

=> 850/1500
=> 85/150
=> 17/30
=> 17/30 x 100
=> 17/3 x 10
=> 170/3
=> 56.67%

Hence, the percent of women is 56.67%.

Solution of Question C:

400 + 850 + m = 1500
=> 1250 + m = 1500
=> m = 1500 - 1250
=> m = 250

Percent of men: Total men/Total attendance

=> 250/1500
=> 1/6
=> 0.17 (Rounded to nearest hundredth)
=> 0.17 x 100
=> 17%

Hence, the percent of men is about 17%

Hoped this helped.

$BrainiacUser1357$

3 0

2 years ago

Identify the equation for the parabola with vertex (0, 0) and directrix x = 2.5.

GREYUIT [131]

Answer:

Step-by-step explanation:

8 0

3 years ago

Hey guys so I have a math question which is how can you buy 100 items for exactly $1.00. A pencil is 10 cents each an eraser is

iren2701 [21]

Answer:

2 paperclips for 1 cent

Step-by-step explanation:

3 0

4 years ago

For what value of p the equation [p-3]x²+4[p-3]+4=0

Vikentia [17]

Step-by-step explanation:

(p-3)[x²+4]+4=0

(p-3)[x²+4]=-4

(p-3)=-4/x²+4

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p=-4+3(x²+4)/x²+4

p= -4+3x²+12/x²+4

p=8+3x²/x²+4

3 0

3 years ago

Tyler went to the supermarket to buy food for a food pantry. He has $36, and can carry up to 20 pounds of food in his backpack.

shutvik [7]

(12 8) is a solution

5 0

3 years ago