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evablogger [386]
2 years ago
12

George's page contains twice as many typed words as Bill's page and Bill's page contains 50 fewer words than Charlie's page. If

each person can type 60 words per minute, after one minute, the difference ate ice the number of words on Bill's page and the number of words on Charlie's page is 210. How many words did Bill's page contain initially?
Mathematics
1 answer:
Deffense [45]2 years ago
5 0
I think bills were 60 words because charlie was 210 so bill was 50 fewer so he is 60 and George will be twice as bills s his will be 80 words
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The music director can make 15 groups of performers with 6 sixth grade students and 5 seventh grade students in each group.

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PLEASE HELPPP!!!!!!!!!!!!!
Leto [7]

For this case we have:

Question 1:

According to Heron's formula, the area of ​​a triangle is given by:

A=\sqrt{(s(s-a)(s-b)(s-c))}

Where a, b and c are the sides of the triangle and s is the semi-perimeter of the triangle given by:

s=\frac{(a+b+c)}{2}

Let:

a = 20mm\\b = 23mm\\c = 27mm

We have s:

s=\frac{(20+23+27)}{2}\\s=\frac{70}{2}\\s=35

Substituting in the formula of the area:

A=\sqrt{(35(35-20)(35-23)(35-27))}\\A=\sqrt{(35(15)(12)(8))}\\A=\sqrt{(50400)}\\A=224.5mm^2

Thus, the area of ​​the triangle is A = 224.5mm ^ 2

Answer:

A = 224.5mm ^ 2

Question 2:

The area of ​​a traingule can be expressed as:

A=\frac{(b*h)}{2}

Where:

b: Base of the triangle

h: Triangle height

Let:

b = 20m\\h = 18m

Substituting the values ​​in the expression we have:

A=\frac{(20*18)}{2}\\A=\frac{360}{2}\\A=180m^2

Thus, the area of ​​the triangle is A = 180m ^ 2

Answer:

A = 180m ^ 2

Question 3:

It is known that the area of ​​a rectangle is given by:

A = l * w

Where:

l: It is the length of the rectangle

w: It is the width of the rectangle

So:

l = 9 feet\\w = 8 feet

Substituting:

A = (9 * 8) feet ^ 2\\A = 72 feet ^ 2

Thus, the area of ​​Laura's carpet is given by A = 72 feet ^ 2

Answer:

A = 72 feet ^ 2

Question 4:

We must take out the area of ​​the outer wall, given by a rectangle, then:

A = l * a

Where:

l: It is the length of the rectangle

a: It is the height of the rectangle

We have:

l = 48 feet\\a = 9 feet

Substituting in the formula we have:

A = (48 * 9) feet ^ 2\\A = 432ft ^ 2

Thus, the area of ​​the exterior wall is given by: A = 432 feet ^ 2

432ft ^ 2> 400ft ^ 2

So, a can of paint is not enough to cover the exterior wall.

Answer:

A can of paint is not enough to cover the exterior wall.

Question 5:

A regular hexagon is formed by 6 equal triangles. The area of ​​the hexagon is given by:

A=\frac{(perimeter* apothem)}{2}

Where the perimeter is given by the sum of the sides, that is:

perimeter = (10 + 10 + 10 + 10 + 10 + 10) cm\\perimeter = 60cm

And the apothem is the height of each of the triangles that make up the hexagon, that is:

apothem = 5cm

Substituting in the formula:

A=\frac{(60*5)}{2}\\A=\frac{300}{2}\\A=150cm^2

Thus, the area of ​​the hexagon is A = 150cm ^ 2

Answer:

A = 150cm ^ 2


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