1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
vredina [299]
3 years ago
7

Given the triangle below, what is m < b, rounded to the nearest tenth?

Mathematics
1 answer:
ahrayia [7]3 years ago
3 0

Option A:

m∠B = 42.1°

Solution:

Given data:

b = 18, c = 15 and m∠C = 34°

Using sine formula:

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

Substitute the given values.

$\frac{18}{\sin B}=\frac{15}{\sin 34^\circ}

Do cross multiplication.

${18}  \times {\sin 34^\circ}={15}  \times{\sin B}

Divide by 15 on both sides.

$\frac{{18}  \times {\sin 34^\circ}}{15} =\frac{{15}  \times{\sin B}}{15}

$\frac{{6}  \times0.559}{5} =\sin B

$0.6708=\sin B

$\sin ^{-1}0.6708= B

42.1^\circ =B

Switch the sides.

m∠B = 42.1°

Option A is the correct answer.

You might be interested in
Please answer number 3.
Alenkasestr [34]

I can't exactly SHOW you where to put the numbers, but I can teach you the process of how you'd do it.

First off, label your number line from 0-15, as it is the simplest. (You'd be counting by 1 per each line). Then, follow this process:

1) Look at the first digit of your value. Place your number according to your first digit. (So, you'd put 0.365 at the 0 line and 3.521 at the 3 line)

2) Look at the second digit of your value. Imagine that between the two main lines (0-1 and 3-4) that there is 10 smaller lines. Then, you can place your number according to your second digit. (So, you'd put 0.365 at the 0.3 line and 3.521 at the 3.5 line).

3) Look at the third digit of your value. Imagine that between the two smaller lines (0.3-0.4 and 3.5-3.6) that there is 10 smaller lines. Then, you can place your number according to your third digit. (So, you'd put 0.365 at the 0.36 line and 3.521 at the 3.52 line).

4) Look at the fourth digit of your value. Imagine that between the two even smaller lines (0.36-0.37 and 3.52-3.53) that there is 10 smaller lines. Then, you can place your number according to your fourth digit. (So you'd place 0.365 at the 0.365 line and 3.521 at the 3.521 line)

6 0
2 years ago
A radio is being discounted 20% if the sale price of the radio is $51.44 what is the original price of the radio Radio is being
Grace [21]
Original price of the radio is $64.30

Sale price - $51.44
Discount rate - 20%

This means that $51.44 is the discounted price or is equivalent to 80% of the original price, since the 20% equivalent is deducted from the original price.

To get the original price, divide $51.44 by its corresponding percentage, 80%.

$51.44 / 80% = $64.30

To get the discount, multiply the original price by its discount rate

$64.30 x 20% = $12.86

To get the sales price, deduct the discount from the original price.

$64.30 - $12.86 = $51.44
100% - 20% = 80%

6 0
3 years ago
Determine if is y=3x^2+2x-3 linear, quadratic, or exponential.
podryga [215]

Answer:

it is quadratic

Step-by-step explanation:

a quadratic graph should look like this

MARK BRAINIEST IF IT HELPS

6 0
2 years ago
Which factor does the width of the peak of a normal curve depend on?
trasher [3.6K]
The answer would be standard deviation.
7 0
3 years ago
Read 2 more answers
What is the CIRCUMFERENCE of a circle with a radius of 18m?
Lyrx [107]

Answer:

the first one is  113.04m

the second one is 615.44 cm

the third one is 530.66 ft

the fourth one is 163.28 in

the fifth one is 31.4 m

the sixth one is 28.26 m

the seventh one is 314

the eightth one is 50,24

finally finished:)))

7 0
2 years ago
Other questions:
  • Multiply: 4.56 x 10,000.To multiply, move the decimal point 4 places to the right in the decimal 4.56 true or false​
    14·1 answer
  • On a circular playground, the distance from its center to the edge of the playground is 37 feet. What is the approximate circumf
    8·1 answer
  • Can someone please help
    7·1 answer
  • Translate the following into an algebraic expression:
    6·1 answer
  • What is -x^2 + 2x in factored form
    12·1 answer
  • What are the coordinates of A? b) What are the coordinates of B?​
    10·1 answer
  • A car drives 270 miles and can drive 13.5 miles per litre of diesel. Diesel
    10·2 answers
  • 3 x -2 x 4 x -3=<br> process !!!
    15·1 answer
  • HELP WILL GOVE BRAINLIEST TO ANYONE WHO HELPS ME
    12·1 answer
  • mark bought 8 boxes .A week later half of all his boxes were destroyed in a fire there are now only 20 boxes left. With how many
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!