Sin(25)/ 22 = Sin(B)/40 What is the measure of angle B?

Please help me with this

Lana71 [14]

Answer:

Definition of mid-point

Step-by-step explanation:

Midpoint is the center point of a line segment

At midpoints the line segment is divided into two equal lengths

Point K is the midpoint of segment MJ and length of segment MK = length of segment KJ

Point K is the midpoint of segment OL and length of segment OK = length of segment KL

8 0

4 years ago

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

HELP ASAP ITS OVERDUE :((

drek231 [11]

A)linear because it is increasing by same amount each month
b) it's around 110 percent

6 0

4 years ago

Carter has a toy ire truck that sprays like the real thing! Carter's fire truck stores 6 liters of water inside its tank.When ca

Wewaii [24]

Answer:

2000 milliliters each minute.

Step-by-step explanation:

We have been given that Carter has a toy ire truck that sprays like the real thing! Carter's fire truck stores 6 liters of water inside its tank. All of the water in the tank is drained out in 3 minutes. We are asked to find the number of millimeters drained per minute.

First of all, we will convert 6 liters to milliliters.

1 liter = 1000 ml.

6 liters = 6*1000 ml = 6000 ml.

Now we will divide total milliliters by total time as:

$\text{Milliliters of water drained per minute}=\frac{6000}{3}$