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## The table shows conversions of common units of length. Unit of Length Customary System Units Metric System Units 1 inch 2.54 centimeters 1 foot 0.3048 meters 1 mile 1.61 kilometers How many miles are equivalent to 800 meters? Round answer to the nearest hundredth. 0.50 miles 1.29 miles 2.62 miles 4.97 miles

The table shows conversions of common units of length. Unit of Length Customary System Units Metric System Units 1 inch 2.54 centimeters 1 foot 0.3048 meters 1 mile 1.61 kilometers How many miles are equivalent to 800 meters? Round answer to the nearest hundredth. 0.50 miles 1.29 miles 2.62 miles 4.97 miles

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## On an architects plan for a house , the scale reads 1/2 in = 5ft how long is the actual length of a room that's 2in. Long on the drawing

On an architects plan for a house , the scale reads 1/2 in = 5ft how long is the actual length of a room that’s 2in. Long on the drawing

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## What’s the approximate area of a segment of a circle with a height 6 m and the length of the chord is 20 m? Round your answer to the nearest whole number. A. 746.67 m2

Hello!

The Correct Answer to this would be 100%:

Option “85.4”.

(Work Below)

Given:
height = 6m
chord = 20 m

We need to find the radius of the circle.

20 m = 2 √ [ 6m( 2 x radius – 6 m ) ]
20 m / 2 = 2 √[ 6m( 2 x radius – 6 m ) ] / 2
10 m = √ [ 6m( 2 x radius – 6 m ) ]
(10 m)² = √[ 6m( 2 x radius – 6 m ) ] ²
100 m² = 6 m( 2 x radius – 6 m )
100 m² = 12 m x radius – 36 sq m
100 m² + 36 m² = 12 m x radius – 36 m² + 36 m²
136 m² = 12 m x radius
136 m² / 12 m = 12 m x radius / 12 m

the area beneath an arc:

Area = r² x arc cosine [ ( r – h ) / r ] – ( r – h ) x √( 2 x r x h – h² ).

r² = (11.333 m)² = 128.444 m²
r – h= 11.333 m – 6 m = 5.333 m
r * h = 11.333 m x 6 m = 68 m²

Area = 128.444 m² x arc cosine [ 5.333 m / 11.333 m ] – 5.333 m x √[ 2 x 68 m² – 36 m² ]

Area = 128.444 m² x arc cosine [ 0.4706 ] – 5.333 m x √ [ 100m² ]

Area = 128.444 m² x 1.0808 radians – 5.333 m x 10 m

Area = 138.828 m² – 53.333 m²

Area = 85.4 m²

Hope this Helps! Have A Wonderful Day! 🙂

And as Always…

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## If the side length of the base of a square pyramid is divided by 4 and the slant height is divided by 3, what is the surface area formula that represents these changes?

If the side length of the base of a square pyramid is divided by 4 and the slant height is divided by 3, what is the surface area formula that represents these changes?

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## The sides of a triangle are in the ratio 3 : 4 : 5. What is the length of each side if the perimeter of the triangle is 90 cm

The sides of a triangle are in the ratio 3 : 4 : 5. What is the length of each side if the perimeter of the triangle is 90 cm

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## A rectangle has a length of the cube root of 81 inches and a width of 3 to the 2 over 3 power inches. Find the area of the rectangle. Select one: a. 3 to the 2 over 3 power inches squared b. 3 to the 8 over 3 power inches squared c. 9 inches squared d. 9 to the 2 over 3 power inches squared

A rectangle has a length of the cube root of 81 inches and a width of 3 to the 2 over 3 power inches. Find the area of the rectangle. Select one: a. 3 to the 2 over 3 power inches squared b. 3 to the 8 over 3 power inches squared c. 9 inches squared d. 9 to the 2 over 3 power inches squared

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## The circumference of C is 72 cm. what is the length of arc AB (the minor arc)? The center angle is 45

Arc length (AB ) =  9 cm .

Step-by-step explanation:

Given : The circumference of C is 72 cm and The center angle is 45.

To find : What is the length of arc AB (the minor arc).

Solution : We have given that

circumference of C = 72 cm.

The center angle  =  45.

Formula of arc length  = .

We have circumference = 2 pi r

Substitute the values arc length  = .

Arc length =  .

=  9 cm

Therefore ,Arc length (AB ) =  9 cm .

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## One of the sides of a pentagon has length 12. Which of the following points, when paired with (2,3), will make a side equal to this length (14, 15) (2, −9) (−2, −3) (−9, 2)

One of the sides of a pentagon has length 12. Which of the following points, when paired with (2,3), will make a side equal to this length (14, 15) (2, −9) (−2, −3) (−9, 2)

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## Joshua wants to buy some land in Wyoming to start a free range chicken ranch. He wants the land to have a length 500 feet greater than the width, so the chickens have room to run. If the area of the land needs to be 1,742,400 square feet, what must the length be? Round answer to the nearest whole foot.

Joshua wants to buy some land in Wyoming to start a free range chicken ranch. He wants the land to have a length 500 feet greater than the width, so the chickens have room to run. If the area of the land needs to be 1,742,400 square feet, what must the length be? Round answer to the nearest whole foot.

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## How did the coastline of the Confederacy offer the South an advantage during the Civil War? A) It enabled the South to implement the Anaconda Plan. B) It gave the South complete control of the Mississippi River. C) Its length made it hard for the North to control. D) It shortness made it easy to defend against invaders.

Actually I disagree with A. The north implemented the anaconda plan not the south. I would say C. Because during the anaconda plan people started starving in the south. The north had blocked off all ships that went to deliver food or goods to the south. Of course the occasional smuggler got through but that wasn’t enough to feed the entire south. Their long coastline gave them the advantage because they managed to get some goods through. As well as to the Mississippi which also gave them ways to move goods.

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## You are given a side length of 7 cm how many equilateral triangle's can you construct using this information?

You are given a side length of 7 cm how many equilateral triangle’s can you construct using this information?

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## Bruno is sewing a large rectangular tablecloth for a restaurant. He has 30 square feet of fabric, and the length of the table cloth needs to be 7.5 feet. What is the width of the tablecloth if he uses all of the fabric?

Bruno is sewing a large rectangular tablecloth for a restaurant. He has 30 square feet of fabric, and the length of the table cloth needs to be 7.5 feet. What is the width of the tablecloth if he uses all of the fabric?

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## Two legs of a right triangle are 5 inches in 12 inches what is the length of the hypotenuse A.34 inches B. 60 in C.13in D.17 in

Two legs of a right triangle are 5 inches in 12 inches what is the length of the hypotenuse A.34 inches B. 60 in C.13in D.17 in

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## The length of the base of a rectangular pyramid is tripled, the width of the base remains the same, and the height of the pyramid is divided by 7. What volume formula reflects these changes?

The volume of a rectangular pyramid is given by:

V=lbh/3

Where l is the length

b is the breath

and h is the height.

Now, l’,b’ and h’ be new length,breath and height

Then, l’=3l

b’=b

and h’=h/7

New volume=V’=l’b’h’/3

=

=

Hence, Volume formula which reflects these changes is:

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## Figure ABCDE is similar to figure FGHIJ. What is the length of segment FG?

Figure ABCDE is similar to figure FGHIJ. What is the length of segment FG?

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## Rectangle LMNO is similar to rectangle PQRS. What is the length of segment QP?

Rectangle LMNO is similar to rectangle PQRS. What is the length of segment QP?

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## Maria is erecting a statue on a triangular plot of land. She wants to put decorative stonework edging around the site. The length of one side of the plot of land is 25 feet. If the angles at the end of this side are 65° and 38°, find the length of stonework edging needed to enclose the site on which the statue is erected.

Draw the triangle shown below to illustrate the problem.
Given:
a=25 ft, ∠B=65°, ∠C=38°.

Because angles in a triangle sum to 180°, therefore
∠A = 180 – 65 – 38 = 77°.

Apply the Law of Sines to find b and c.
b/sin(B) = a/sin(A)
b/sn(65°) = 25/sin(77°)
b = [sin(65)/sin(77)]*25 = 23.254 ft

c/sin(C) = a/sin(A)
c/sin(38) = 25/sin(77)
c = [sin(38)/sin(77)]*25 = 15.796 ft

The length of stone work required is
a + b + c
= 25 + 23.254 + 15.796
= 64.05 ft

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## A triangle has two sides of lengths 5 and 13. What value could the length of the third side be?

A triangle has two sides of lengths 5 and 13. What value could the length of the third side be?

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## A carpenter cuts a 2 metre length of wood into 6 pieces. What is the length of each piece? Give your answer to the nearest whole mm.

333 mm.

Step-by-step explanation:

We have been given that a carpenter cuts a 2 meter length of wood into 6 pieces. We are asked to find the length of each piece of wood.

First of all, we will convert 2 meters to millimeters.

1 meter = 1000 mm

2 meters = 2,000 mm.

Round answer to nearest whole mm:

Therefore, each piece is approximately 333 mm long.

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## Quadrilateral ABCD is similar to quadrilateral EFGH. What is the length of segment BC?

Answer:  The required length of BC is 32 units.

Step-by-step explanation:  Given that the quadrilaterals ABCD and EFGH are similar to each other.

We are to find the length of side BC.

From the figure, we note that

AB = 2x,  CD = 3x – 3, EF = 5.5, FG = 8, GH = 7.5  and  EH = 7.

Since the corresponding sides of similar figures are proportional, so we get

Also, we can write

Thus, the required length of BC is 32 units.

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## If a pyramid has a side length of 230 meters and a height of 146 and I'd the model has a side length of 0.575 meters and a height of 0.365 what is the scale factor of model

If a pyramid has a side length of 230 meters and a height of 146 and I’d the model has a side length of 0.575 meters and a height of 0.365 what is the scale factor of model

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## The relationship between you shoe size and the length of you foot L ( in inches) is given by S = 3L – 22 for men and S = 3L – 21 for women. How long is your foot when your shoe size is the same as the length of your foot and you are the following gender> a man : a woman:

For the shoe size be equal to the length of the foot, this means that L must be equal to S. Now, since we have different equations depending on your gender, we first check the conditions for man.

Since S = 3L – 22 for men, for a person to have a foot length equal to his shoe size, we equate L to S as shown below.

L = S
L = 3L – 22
2L = 22
L = 11

Thus, we can see that men with 11-inch foot would have the same shoe size number. We can apply similar approach to find the length of a woman’s foot that satisfies our conditions as shown.

L = S
L = 3L – 21
2L = 21
L = 10.5

Hence, a woman with a 10.5-inch foot have 10.5 for a shoe size as well.

man: 11 inches
woman: 10.5 inches

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## Which equation can be used to calculate the area of the shaded triangle in the figure below? A rectangle is shown with a width of 6 ft and a length of 16 ft. There is a diagonal line through the rectangle, and the bottom half is shaded in grey. choices 2(16 × 6) = 192 square feet 2(16 + 6) = 44 square feet 1 over 2.(16 × 6) = 48 square feet 1 over 2.(6 + 16) = 11 square feet

Which equation can be used to calculate the area of the shaded triangle in the figure below? A rectangle is shown with a width of 6 ft and a length of 16 ft. There is a diagonal line through the rectangle, and the bottom half is shaded in grey. choices 2(16 × 6) = 192 square feet 2(16 + 6) = 44 square feet 1 over 2.(16 × 6) = 48 square feet 1 over 2.(6 + 16) = 11 square feet