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3 years ago

Explain why 1/12+1/12+1/12 is the same as 1/4

Mathematics

1 answer:

VikaD [51]3 years ago

3 0

1/12+1/12+1/12=3/12=1/4

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A corner of a rectangle is cut, creating a trapezoid.

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The sum of a trapezoid is 360 degrees

45+90+90+x=360
45+180+x=360
225+x=360
x=135

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3 years ago

Read 2 more answers

Write 70 20 in lowest terms.

Harlamova29_29 [7]

Answer: Find the GCD (or HCF) of numerator and denominator. GCD of 70 and 20 is 10.

70 ÷ 1020 ÷ 10.

Reduced fraction: 72. Therefore, 70/20 simplified is 7/2.

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3 years ago

Find the slope of the line through the points (3,7) and (5,19)

Sedbober [7]

Answer:

12

Step-by-step explanation:

(3,7)(5,19)

(x,y)(x,y)

y2(19)- y1(7)

x2(5)-x1 (3)

formula. y2-y1

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3 years ago

Sam drives to work. When she averages 20mph it takes 40 minutes.Sam needs yo get to work in 30 minutes.What is the minimum avera

Arisa [49]

The average speed would be 35

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3 years ago

Two cars are traveling towards a hotel on the same road. From the edge of the hotel, 600 feet high, Spiderman sits on the roofto

d1i1m1o1n [39]

Answer:

The distance between two cars is 110.64 feet.

Step-by-step explanation:

Angle of depression is defined as an angle between the line of sight and the horizontal.

Remember in a right angled triangle, the angle of depression is always same as the angle of elevation.

If $\theta$ be the angle of depression then,

$tan\theta=\frac{opposite}{adjacent}$

Given that,

Two car are travelling toward a hotel on the same road.

The height of the given building is 600 feet.

For the first car:

The angle of depression = The angle of elevation = 52°

Let the horizontal distance between the building and the car be x.

Here, $\theta =52 ^\circ$ , opposite = 600 feet, adjacent = x

$tan 52^\circ=\frac{600}{x}$

$\Rightarrow x=\frac{600}{tan 52^\circ}$

$\Rightarrow x\approx 468.77$ feet

For the second car:

The angle of depression = The angle of elevation = 46°

Let the horizontal distance between the building and the car be y.

Here, $\theta =46 ^\circ$ , opposite = 600 feet, adjacent = y

$tan 46^\circ=\frac{600}{y}$

$\Rightarrow y=\frac{600}{tan 46^\circ}$

$\Rightarrow x\approx 579.41$ feet

The distance between two cars is

= The distance of the second car from the building - The distance of the first car from the building

=(579.41-468.77) feet

=110.64 feet.

3 0

3 years ago