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Sveta_85 [38]
3 years ago
6

Convert 120 kilometers per hour to meters per minute.

Mathematics
2 answers:
lorasvet [3.4K]3 years ago
6 0

120 kilometers per hour is converted to 2 kilometers per minute.

svlad2 [7]3 years ago
5 0

Answer:

2000 meters per minute

Step-by-step explanation:

120 kilometers per hour=2000 meters per minute

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A safety regulation states that the maximum angle of elevation for a rescue ladder is 72°. A fire department's longest ladder is
Julli [10]

Answer:

The maximum safe rescue height is   104.6 feet above the height of  the ground.

Step-by-step explanation:

Consider a triangle ABC where C is the point where the rescue ladder is standing and  AB be the building  and Ladder making an angle of 72° as shown.

We have to find the height of the building.

Let x be the height of building

Using Trigonometric ratio,

\sin C=\frac{\text{Perpendicular}}{\text{Hypotenuse}}

\sin 72^{\circ}=\frac{AB}{BC}

\sin 72^{\circ}=\frac{x}{110}

x=110 \times \sin 72^{\circ}

x=104.6

So, the maximum safe rescue height is   104.6 feet above the height of

the ground.

5 0
3 years ago
Read 2 more answers
A circle has an area of 200.96 units2 and a circumference of 50.24 units. If the radius is 8 units, what can be said about the r
AleksandrR [38]

Answer:

C. The ratio of the area to the circumference is equal to half the radius.

Step-by-step explanation:

The area of a circle can be written as;

Area A = πr^2

The circumference of a circle is;

Circumference C = 2πr

Using the formula, w can derive the relationship between the two variables.

A = kC

k = A/C

Substituting the two formulas;

k = (πr^2)/(2πr) = r/2

So,

A = (r/2)C

A/C = r/2

The ratio of the area to the circumference is equal to half the radius.

Given;

Area = 200.96

Circumference = 50.24

Radius = 8

To confirm;

k = r/2 = 8/2 = 4

Also,

A/C = 200.96/50.24

A/C = 4

6 0
3 years ago
How do I simplify and solve for x for 3x-7=2
saul85 [17]
3x-7=2\ \ \ \ \ \ \ \ |add\ 7\\\\3x=2+7\\\\3x=9\ \ \ \ \ \ \ |:3\\\\x=3\\
8 0
3 years ago
Read 2 more answers
In a talent show of singing and comedy acts, singing acts are 4.5 minutes long and comedy acts are 3.5 minutes long. The show ha
Alik [6]

Step-by-step explanation:

Let the number of singing act be x

Let the number of comedy act be y

If the total act is 14, then;

x+y = 14..... 1

If singing acts are 4.5 minutes long and comedy acts are 3.5 minutes long and the acts lasts 59 minutes, then:

4.5x + 3.5y = 59 .......... 2

Solve both equation simultaneously for x and y

x+y = 14

45x+35y = 590

.................................

x+y = 14......... *9

9x+7y = 118....... 1

...............................

9x+9y = 126

9x+7y = 118

Subtract both equations

9y-7y = 126-118

2y = 8

y = 8/2

y = 4

Substitute y = 4 into equation 1;

From 1: x+y = 14

x+4 = 14

x = 14-4

x =10

Hence there are 10 singing acts and 4 comedy acts in the show

7 0
3 years ago
The life of light bulbs is distributed normally. the standard deviation of the lifetime is 25 hours and the mean lifetime of a b
Dominik [7]
The probability is 0.8997.

We will use a z-score to answer this question.  z-scores are given by the formula
z=\frac{X-\mu}{\sigma}

With our information, we have
z=\frac{622-590}{25}=\frac{32}{25}=1.28

Looking this up in a z-table (http://www.z-table.com) we see that the area to the left of this (everything less than, up to this value) is 0.8997.
4 0
3 years ago
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