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3 years ago

The table shows the cost for different numbers of t-shirts.

Mathematics

1 answer:

arlik [135]3 years ago

3 0

Answer:

proportional bc all of them are 1 shirt = 12.95

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Solve using law of sines or law of cosines!

malfutka [58]

Answer:

Part 5) The length of the ski lift is $1.15\ miles$

Part 6) The height of the tree is 18.12 m

Step-by-step explanation:

Part 5)

Let

A -----> Beginning of the ski lift

B -----> Top of the mountain

C -----> Base of mountain

we have

$b=0.75\ miles$

$A=20\°$

$C=180\°-50\°=130\°$ ----> by supplementary angles

Find the measure of angle B

Remember that the sum of the interior angles must be equal to 180 degrees

$B=180\°-A-C$

substitute

$B=180\°-20\°-130\°=30\°$

Applying the law of sines

$\frac{b}{sin(B)}=\frac{c}{sin(C)}$

substitute

$\frac{0.75}{sin(30\°)}=\frac{c}{sin(130\°)}$

$c=\frac{0.75}{sin(30\°)}(sin(130\°))$

$c=1.15\ miles$

Par 6)

see the attached figure with letters to better understand the problem

Applying the law of sines in the right triangle BDC

In the right triangle BDC 20 degrees is the complement of 70 degrees

$\frac{BC}{sin(70\°)}=\frac{x}{sin(20\°)}$

$BC=(sin(70\°))\frac{x}{sin(20\°)}$ -----> equation A

Applying the law of sines in the right triangle ABC

In the right triangle ABC 50 degrees is the complement of 40 degrees

$\frac{BC}{sin(40\°)}=\frac{x+15}{sin(50\°)}$

$BC=(sin(40\°))\frac{x+15}{sin(50\°)}$ -----> equation B

Equate equation A and equation B and solve for x

$(sin(70\°))\frac{x}{sin(20\°)}=(sin(40\°))\frac{x+15}{sin(50\°)}\\\\2.7475x=0.8391(x+15)\\\\2.7475x=0.8391x+12.5865\\\\2.7475x-0.8391x=12.5865\\\\x=6.60\ m$

Find the value of BC

$BC=(sin(70\°))\frac{6.6}{sin(20\°)}$

$BC=18.12\ m$

therefore

The height of the tree is 18.12 m

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4 years ago

Phillip is rolling two number cubes. How many different ways can he roll the number cubes and get a sum of 6?

attashe74 [19]

Your answer you be A. 3

4 0

4 years ago

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The equation y = 5.5x represents a proportional relationship. What is the constant of proportionality?

Firlakuza [10]

Answer:

Y = 5.5x

The constant is 5.5

since no matter what y and x are there will always be a 5.5 difference

Also mark brainliest please

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3 years ago

Evaluate x square2 +12,when x=3

GarryVolchara [31]

Answer:

Step-by-step explanation:

3^2=9

9+12=21

Keep it up

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3 years ago

Line AB contains point A (8,-4) and B (1-5), The slope of line AB is

oee [108]

Slope = change in y / change in x
m = (-5 - -4) / (1 - 8)
m = -1/-7 = 1/7
The answer is C.

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4 years ago

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