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3 years ago

Jerry bought a bottle of perfume for a gift for his wife.

1 answer:

4 0

First, you need to find how much money the tax was (98.90-92=6.9) Then, divide the tax by the price without the tax to find the tax rate (6.9/92=.075) then multiply the answer by 100 (.075*100=7.5)The tax rate is 7.5%

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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

5 0

4 years ago

Determine the axis of symmetry of the Quadratic equation.

Marat540 [252]

B/X=2
OWA OWA 20 minimum word

7 0

3 years ago

Read 2 more answers

In one year, Angelica's height went from 52 inches to 56 inches what was the percent of increase in Angelica's height

AleksandrR [38]

Answer: 7.7%

Step-by-step explanation: First find the increase in height by subtracting 52 from 56. 56-52=4.

To find what percent this is of 52, divide 4 by 52. 4/52=0.0769. Then convert this from a decimal to a percent by multiplying by 100. 0.0769*100=7.69.

I just rounded it to the nearest tenth, you can change it how you need to.

8 0

4 years ago

Please help me. I don't understand.

mart [117]

Answer: 28.8

Step-by-step explanation:sorry if I’m wrong

4 0

3 years ago

Read 2 more answers

Find the cosine of ∠R.

musickatia [10]

Answer:

47/100

Step-by-step explanation:

rs/qr = cos R

32/68 = cos r

0.47

7 0

3 years ago