MATHEMATICS MIDDLE SCHOOL

A rope 29 ft long rope is tied to the top of a flag pole. The rope is staked to the ground 21 ft away from the base of the pole. How tall is the flag pole?

Answers

Answer 1

Answer:

Answer: 20 ft

Step-by-step explanation:

Given: The length of rope tied to the top of a flag pole=29 ft

The distance between base of the pole and the point on ground where the rope is stacked= 21 ft

Let x be the height of flagpole.

Now, we can see the figure that the given situation represents a right triangle

Where longest side= 29

By Pythagoras theorem of right triangle, the square of the longest side is equal to the sum of the squares of the other two sides.

$29^2=21^2+x^2\n\Rightarrow\ x^2=29^2-21^2\n\Rightarrow\ x=841-441\n\Rightarrow\ x=400\n\Rightarrow\ x=√(400)\n\Rightarrow\ x=20$

Hence, the height of flagpole = 20 ft.

Answer 2

Answer: It's like A2+B2=C2 so:
A2+B2=C2
A2+ 21(squared)=29(squared)
A2=441=841
A2=400
A=√(400)
A=20

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Which unit would best measure the weight of a pair of sissors?

Answers

Ounces would be better units for scissors than kilograms, because 1 kilogram is too heavy for scissors, 1 kg is more than 2 pounds.

you would use ounces because scissors are too light to be measured in tons,pounds,or kilograms

A dresser in the shape of a rectangular prism measures 2 feet by 2 feet by 6 feet. What is the surface area of the dresser?

Answers

A=2(wl+hl+hw) A=2(2x2+6x2+6x2)=56

the surface area wpuld be 24 because the question is asking this 2×2×6 which means (2×2)×6 so you do 2 ×2 first to get 4 then you do 4×6= 24 hope i could help

How do you solve x/9-1/3=-5/3

Answers

Answer:

$x = ( - 18)$

Step-by-step explanation:

$(x)/(9) - (1)/(3) = ( - (5)/(3) ) \n (x)/(9) = - (5)/(3) - (1)/(3) \n (x)/(9) = - (6)/(3) \n (x)/(9) = - 2 \n 9 * (x)/(9) = - 2 * 9 \n x = - 18$

2{ 5[12+5 (500 - 100)+399]}

Answers

This is solved by breaking the equasion down.

2 { 5 [12 + 5 (500 - 100) + 399 ]}

2 { 5 [12 + 5 (400) + 399]}

2 { 5 [12 + 2000 + 399]}

2 { 5 [2411]}

2 {12055}

24110

Is this the answer you were looking for?

2(5(12+5(500−100)+399))

=2(5(12+(5)(400)+399))

=2(5(12+2000+399))

=2(5(2012+399))

=2(5)(2411)

=(2)(12055)

=24110

What is the value of the following expression? 2×{6+[12÷(3+1)]}-1

Answers

First of all 3+1=4
Next divide 12 and 4 that equals 3
3+6 is equal to 9
9×2=18
Finally 18-1=17
My answer is 17

3+1=4
12/4=3
6+3=9
9*2=18
18-1=17

Maya says that each person will receive 2 tenths of the money. Do you agree? Explain.

Answers

not fair because then the girl gets 40 cents and they get 20.......4(including maya)x20=80 then maya gets 20 extra or....she can share

I believe it really depends on how many people there are to decide on weather it's fair or not

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