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Lelechka [254]
3 years ago
8

12 people can fit in a room that is 9 feet by 4 feet. How many people will fit in a room that is 6 yards by 6 yards

Mathematics
1 answer:
Luba_88 [7]3 years ago
8 0

Answer:

Number of people fit in 6 feet by 6 feet room = 12 people

Step-by-step explanation:

Given:

Number of people fit in 9 feet by 4 feet room = 12 people

Find;

Number of people fit in 6 feet by 6 feet room

Computation:

Surface area of 9 feet by 4 feet room = 9 x 4

Surface area of 9 feet by 4 feet room = 36 feet²

So,

Surface area of 6 feet by 6 feet room = 6 x 6

Surface area of 6 feet by 6 feet room = 36 feet²

Surface area of both rooms are equal. so number of people are also equal

Number of people fit in 6 feet by 6 feet room = 12 people

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What is an equivalent fraction of 1/2<br>​
Alex

Answer:

See below

Step-by-step explanation:

Equivalent fractions are fractions that equate to the same value. For example, 1/2 is equivalent to 2/4, 3/6, 4/8, 5/10, and so on.

4 0
2 years ago
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Two parallel lines are intersected by a transversal. Prove: Angle bisectors of the same side interior angles are perpendicular.
n200080 [17]

Answer:

The answer is given below

Step-by-step explanation:

From the diagram below,Let the line AB and CD be parallel line. Let transversal line EF cut AB at Y and transversal line EF cut CD at Z.

The bisector of ∠BYZ and ∠DZY meet at O. Therefore ∠YZO = ∠DZY/2 and ∠ZYO = ∠BYZ/2

∠BYZ and ∠DZY are interior angles.

∠BYZ + ∠DZY = 180 (sum of consecutive interior angles)

∠BYZ/2 + ∠DZY/2 = 180/2

∠BYZ/2 + ∠DZY/2 = 90°

In ΔOYZ:

∠YZO + ∠ZYO + ∠YOZ = 180 (sum of angles on a straight line).

But  ∠YZO = ∠DZY/2 and ∠ZYO = ∠BYZ/2

∠DZY/2 + ∠BYZ/2 + ∠YOZ = 180

90 + ∠YOZ = 180

∠YOZ = 180 - 90

∠YOZ = 90°

Therefore Angle bisectors of the same side interior angles are perpendicular.

3 0
3 years ago
Please help with 12!!!!!
mote1985 [20]
2. one angle of and one side are equal therefore bc and ce have to equal each other.
3.because angle a and angle d equal each other, angles acb and dce equal each other
4.opposite interior angles equal each other
5.triangles equal each other for all the reasons above
5 0
3 years ago
The FDA recommends that women who are pregnant avoid eating more than three 6.00 oz servings of bluefish per month because of th
kirza4 [7]

Answer:

5,562 x 10^{-6}

Step-by-step explanation:

  • Firts, we need to find the maximum recommended amount of bluefish per month. Since the FDA recommends <em>3 servings of 6.00 oz each</em>, the maximum amount would be:

the maximum amount of bluefish per month = 3 * 6.00 oz = 18.00 oz

  • Since bluefish contains <em>0.309 ppm of mercury per 1x10^{6} oz of fis</em>h, then:

0.309 oz mercury --------> 1x10^{6} oz of fish

How many  (y)      --------> 18.00 oz of fish

y = \frac{18.00 oz of fish * 0.309 oz of mercury}{1 x 10^{6} oz of fish }  = 0.000005562 = 5.562 x 10^{-6} oz mercury

5 0
3 years ago
A circular pond 24 yd in
Schach [20]

Answer:

The walk will cost $8164.

Step-by-step explanation:

Given:

Diameter of the circular pond (D) = 24 yd

Width of the gravel path (x) = 2 yd

Cost per yard of the path = $50

Now, radius of the circular pond is half of the diameter and is given as:

Radius,R=\frac{D}{2}=\frac{24}{2}=12\ yd

Now, area of the pond is given as:

A_{pond}=\pi R^2=3.14\times (12)^2=3.14\times 144=452.16\ yd^2

Area of the complete path including the pond area is given as:

A_{outer}=\pi(R+x)^2=3.14\times(12+2)^2=3.14\times196=615.44\ yd^2

Now, area of the gravel path can be obtained by subtracting the pond area from the total outer area. This gives,

A_{path}=A_{outer}-A_{pond}\\\\A_{path}=615.44-452.16=163.28\ yd^2

Now, using unitary method,

Cost of 1 square yard of path = $50

∴ Cost of 163.28 square yard of path = 50 × 163.28 = $8164

Hence, the walk will cost $8164.

5 0
3 years ago
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