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Lilit [14]
3 years ago
14

In 2004 there were approximately 5820 cinema sites. In 2000 there were 6700 cinema sites. a. Write an equation describing the re

lationship. Use ordered pairs of the form (years past 2000, number of cinema sites). b.Use the equation to predict the number of cinema sites is 2009.
Mathematics
1 answer:
galina1969 [7]3 years ago
8 0
7100x+y =8300
so you just count the ×+y thing
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A small plane and a large plane are 6.8km from each other, at the same altitude (height). From an observation tower, the two air
Lemur [1.5K]

Answer:

7.9km

Step-by-step explanation:

(a)See attached for the diagram representing this situation.

(b)

In Triangle ABC

\text{Using Law of Sines}\\\dfrac{\sin A}{a}=\dfrac{\sin C}{c} \\\dfrac{\sin A}{5.2}=\dfrac{\sin 58^\circ}{6.8} \\\sin A=5.2 \times \dfrac{\sin 58^\circ}{6.8}\\A=\arcsin (5.2 \times \dfrac{\sin 58^\circ}{6.8})\\A=40.43^\circ

Next, we determine the value of Angle B.

\angle A+\angle B+\angle C=180^\circ\\40.43+58+\angle B=180^\circ\\\angle B=180^\circ-(40.43+58)\\\angle B=81.57^\circ

Finally, we find b.

\text{Using Law of SInes}\\\dfrac{b}{\sin B}=\dfrac{c}{\sin C} \\\dfrac{b}{\sin 81.57^\circ}=\dfrac{6.8}{\sin 58^\circ} \\b=\dfrac{6.8}{\sin 58^\circ} \times \sin 81.57^\circ\\b=7.9km $ (to the nearest tenth of a kilometer)

The distance between the small plane and the observation tower is 7.9km.

8 0
4 years ago
Question Completion Status:
jeka94

Answer:

y=3x-3

Step-by-step explanation:

The equation of the line with the slope m and passing through the point (x_0,y_0) is

y-y_0=m(x-x_0)

In your case,

m=3\\ \\x_0=3\\ \\y_0=6

Hence, the equation of the line is

y-6=3(x-3)\\ \\y-6=3x-9\\ \\y=3x-9+6\\ \\y=3x-3

3 0
3 years ago
1,284/14<br> PLEASE HELP!
Marina86 [1]

Answer:

10

Step-by-step explanation:

Begin with writing down your problem. For example, you want to divide 1284 by 14.

Decide on which of the numbers is the dividend, and which is the divisor. The dividend is the number that the operation is performed on - in this case, 1284. The divisor is the number that actually "does the work" - in this case, 14.

Perform the division - you can use any calculator you want. You will get a result that most probably is not an integer - in this example, 91.7142857.

Round this number down. In our example, you will get 92.

Multiply the number you obtained in the previous step by the divisor. In our case, 92 * 14 = 1294.

Subtract the number from the previous step from your dividend to get the remainder. 1284 - 1294 = 10.

4 0
3 years ago
lemont has 30 books to pack the boxes each box holds 7 books if he fills each box how many boxes are left over
mariarad [96]

Answer:

2 books

Step-by-step explanation:

If 7 books= 1 box

Then 30 books= 30÷7= 4 boxes with a remainder of 2 books

Therefore books left over= 2 books

6 0
3 years ago
BRAINLIESTTT ASAP! PLEASE HELP ME :)
Montano1993 [528]
<h3>Answer: 71</h3>

==================================

Explanation:

Multiply the values in the second and third columns. Do this row by row.

Row1: 50*55 = 2750

Row2: 75*32 = 2400

Row3: 150*13 = 1950

Add up the products to get 2750+2400+1950 = 7100

Then divide this by the total frequency 55+32+13 = 100 to get 7100/100 = 71

7 0
3 years ago
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