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3 years ago

11

Tickets to a movie cost $5 for adults and $3 for students m. A group of friends purchased 18 tickets for $82. How many adults ti

ckets did they buy?

1 answer:

ddd [48]3 years ago

5 0

Answer:

1230

Step-by-step explanation:

i multipled to see what i was gone get

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The Colonel spots a campfire at a bearing N 59∘59∘ E from his current position. Sarge, who is positioned 242 feet due east of th

Rashid [163]

Answer:

i. Colonel is about 201 feet away from the fire.

ii. Sarge is about 125 feet away from the fire.

Step-by-step explanation:

Let the Colonel's location be represented by A, the Sarge's by B and that of campfire by C.

The total angle at the campfire from both the Colonel and Sarge = $59^{0}$ + $34^{0}$

= $93^{0}$

Thus,

<CAB = $90^{0}$ - $59^{0}$ = $31^{0}$

<CBA = $90^{0}$ - $34^{0}$ = $56^{0}$

Sine rule states;

$\frac{a}{Sin A}$ = $\frac{b}{Sin B}$ = $\frac{c}{Sin C}$

i. Colonel's distance from the campfire (b), can be determined by applying the sine rule;

$\frac{b}{Sin B}$ = $\frac{c}{Sin C}$

$\frac{b}{Sin 56^{0} }$ = $\frac{242}{Sin 93^{0} }$

$\frac{b}{0.8290}$ = $\frac{242}{0.9986}$

cross multiply,

b = $\frac{0.8290*242}{0.9986}$

= 200.8993

Colonel is about 201 feet away from the fire.

ii. Sarge's distance from the campfire (a), can be determined by applying the sine rule;

$\frac{a}{Sin A}$ = $\frac{c}{Sin C}$

$\frac{a}{Sin 31^{0} }$ = $\frac{242}{Sin 93^{0} }$

$\frac{a}{0.5150}$ = $\frac{242}{0.9986}$

cross multiply,

a = $\frac{0.5150*242}{0.9986}$

= 124.8073

Sarge is about 125 feet away from the fire.

8 0

3 years ago

Find the future value of a 10-year investment of $3500 at a simple annual rate of 3.49%.

Setler79 [48]

Answer:

You can plug in the simple interest formula A=P(1+rt) to get the amount is equal to 3500 (the principal in this case) times 1+ 3.49/100(10). This is 3500(1.349), and this is $4721.5.

4 0

3 years ago

Emerson purchased a game that was on sale for 18% off. The sales tax in his county is 8%. Let y represent the original price of

kolezko [41]

Answer:

(y-18%) + (y+8%)

Step-by-step explanation:

3 0

2 years ago

(1/4)^4<br> What is the answer

amm1812

The answer is 1/256

Hope this helps!!

6 0

3 years ago

What are the coordinates of point S"?

Zigmanuir [339]

Answer:

A coordinate system is a two-dimensional number line, for example, two perpendicular number lines or axes. The center of the coordinate system (where the lines intersect) is called the origin. The axes intersect when both x and y are zero. The coordinates of the origin are (0, 0).

5 0

3 years ago