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3 years ago

Find the value of x.

Mathematics

1 answer:

allsm [11]3 years ago

5 0

Answer:

$3 \sqrt{5}$

Step-by-step explanation:

x is the center of the circle.

the chord of length 12 can be splitted into two parts of 6 length each.

since the radius does not change when it touches another end of the circle, we can safely calculate our radius to be the hypotenuse of the triangle formed by the length of the chord and 3.

The explanation is given in the picture

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A cinema can hold 270 people at one performance 5/9 of the seats were occupied of the occupied seats 40% we occupied by concessi

Elza [17]

Question:

A cinema can hold 270 people at one performance 5/9 of the seats were occupied of the occupied seats 40% we occupied by concessionary ticket holders.

What is the number of seats occupied by concessionary ticket holders?.

Answer:

60 seats

Step-by-step explanation:

Given

Number of seats = 270

Occupied Seats = 5/9

Concessionary ticket holders = 40% of occupied Seats

Required

The number of seats occupied by concessionary ticket holders

First the number of occupied seat has to be calculated.

$Occupied\ Seats = \frac{5}{9} * 270$

$Occupied\ Seats = \frac{1350}{9}$

$Occupied\ Seats = 150$

Next is to determine the number of seats occupied by concessionary ticket holders.

$Number = 40\%\ of\ occupied\ seats$

$Number = 40\%\ of\ 150$

Convert percentage to decimal

$Number = 0.4 * 150$

$Number = 60$

<em>Hence, 60 seats were occupied by concessionary ticket holders.</em>

5 0

3 years ago

During summer, when the snow melts, the water level of the Yukon River increases. If the water level of the river increased by 7

kondaur [170]

Answer:

13 centimeters per day.

Step-by-step explanation:

We have been given that during summer, the water level of the river increased by 78 centimeters in 6 days. We are asked to find the water level increase rate in centimeters per day.

To find the water level increase rate per day, we will divide total increase by total days as:

$\text{Water level increase rate per day}=\frac{78\text{ cm}}{6\text{ days}}$

$\text{Water level increase rate per day}=\frac{13\text{ cm}}{\text{ day}}$

Therefore, the water level increase rate is 13 centimeters per day.

5 0

3 years ago

A rectangular filed is 190m by 270m . A rectangular barn is 23 m by 40 m is built in the field .

Anika [276]

Answer: 50,380m

Step-by-step explanation:

190m * 270m = 51,300m

23m * 40m = 920m

Because the barn is in the field, we subtract the barn's area from the field's area, which leaves us with

51,300m - 920m = 50,380m

4 0

3 years ago

Number when multiplied by 0.5?<br> Which number produces a rational

Vladimir79 [104]

I don’t really know what your asking but anything multiplied by 0.5 or .5 is going to be half of that number
Example 2•.5=1

I don’t know if this is what you were asking, but I hope this helps

6 0

3 years ago

Will has 20 pounds of apples he makes to back to apple sauce that he's 4 pounds each one back to apple butter that use a 6 pound

Ulleksa [173]

Answer:

The equation representing pounds of apples will has left $x=20-4-6-3$ .

Will has left with 7 pounds of apples.

Step-by-step explanation:

Given:

Total pounds of apple = 20 pounds.

Pounds of apple used for apple sauce = 4 pounds

Pounds of apple used for apple butter = 6 pounds

Pounds of apple used for making juice = 3 pounds

We need to write the equation to represent pounds of apples will has left.

Solution:

Let us assume pounds of apples will has left be 'x'.

So we can say that;

pounds of apples will has left can be calculated by subtracting Pounds of apple used for apple sauce and Pounds of apple used for apple butter and Pounds of apple used for making juice from Total pounds of apple.

framing in equation form we get;

$x=20-4-6-3$

Hence The equation representing pounds of apples will has left $x=20-4-6-3$ .

On Solving the above equation we get;

$x=7\ pounds$

Hence Will has left with 7 pounds of apples.

4 0

3 years ago