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jek_recluse [69]
3 years ago
8

The length of a rectangle is five times its width.

Mathematics
1 answer:
Vera_Pavlovna [14]3 years ago
4 0

Answer:

72

Step-by-step explanation:

l = 5w

A = l*w

180 = 5w *w

180 = 5w^2

Divide each side by 5

180/5 = 5w^2 /5

36 = w^2

Taking the square root of each side

sqrt(36) = sqrt(w)^2

6 =w

l = 5w = 5*6 = 30

The perimeter is

P = 2(l+w)

P = 2(6+30) = 2(36) = 72

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(7x+14) (15x-4) solve for x (20 points
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Answer:

The value of x .

7x-14= 15x

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x= -7/4

Step-by-step explanation:

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7 0
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What is the lcm of 5,10​
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Answer:

Least common multiple (LCM) of 5 and 10 is 10.

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2 planes leave the airport at the same time. their speeds are 140 mph and 170 mph and the angle between their courses is 25 degr
Damm [24]

Answer:

183.27miles

Step-by-step explanation:

Note that we are considering two planes.

Plane 1

Speed = 140 mph

Time = 2.5 hours

Distance = ?

Speed = distance/time

140 mph = distance/2.5hrs

Distance = 140×2.5

= 350miles

Plane 2

Speed = 170 mph

Time = 2.5 hours

Distance = ?

Speed = distance/time

170 mph = distance/2.5hrs

Distance = 170×2.5

= 425miles

The angle between side is 25 degree

From cosine rule

c^2 = a^2 + b^2 − 2abcos(tetha)

Where a = 350

b = 425miles

c^2 = 350^2+425^2-2(350×425)(cos25)

c^2 = 122500+180625-297500(0.906)

c^2 = 303125-269535

c^2 = 33590

C = √33590

C = 183.27miles

The distance they flew apart after 2.5hrs is 183.27miles

5 0
2 years ago
what is the length of a circle that has a central angle of 98 degrees and 6 cm rounded to the nearest 100th. using 3.14
Natali5045456 [20]
Arc length = 2\pir * Θ/360 = \pid * Θ/360
so...
If we take pi to be 3.14,
Arc length = 2(3.14)(6) * 98/360
= 37.68 * 98/360 = 10.26 cm

5 0
3 years ago
The circle below has a center H. Suppose that m FG=42. Find the following.
Dahasolnce [82]

The measure of angle FHG = 42 degrees. This is the same as the arc length.

The measure of angle FEG = 21 degrees. This is half the value of the arc length.

5 0
3 years ago
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