All categories

3 years ago

What is the value of b?

Mathematics

1 answer:

tresset_1 [31]3 years ago

8 0

Answer:

Step-by-step explanation:

Using the law of cosines in ΔABC

b² = a² + c² - (2ac cosB) ← substitute in values

= 25² + 28² - (2 × 25 × 28 × cos36.9°)

= 625 + 784 - 1400 cos36.9°

= 1409 - 1400 cos36.9° ( Take the square root of both sides )

b = $\sqrt{1409-1400cos36.9}$ ≈ 17 ( nearest whole number )

You might be interested in

Jlenok [28]

Answer:

Step-by-step explanation:

4 0

3 years ago

What is the slope of the graph shown below?

levacccp [35]

Answer:

2435

Step-by-step explanation:

6 0

3 years ago

I HAVE 5 MATH QUESTIONS AND I NEED HELP ASAP. ONLY COMMENT IF YOU'RE GONNA HELP ME PLEASE. THANKS! QUESTIONS ARE PASTED BELOW.

valkas [14]

1. (2,3)
2. (-1,-1)
3. infinitely many
4. coincident
5. consistent independent, coincident, inconsistent (in that order)

8 0

3 years ago

For the equations given below, which statement is true?

allochka39001 [22]

Answer: C. The equations have the same solution because the second equation can be obtained by adding 6 to both sides of the first equation.

Step-by-step explanation:

You know that the first equation is:

$-3x-8=19$

And the second equation is:

$-3x-2=25$

According to the Addition property of equality:

If $a=b$ ; then $a+c=b+c$

Then, you can add 6 to both sides of the first equation to keep it balanced. Then, you get:

$-3x-8=19\\\\-3x-8+(6)=19+(6)$

$-3x-2=25$

Therefore, you can observe that the second equation can be obtained by adding 6 to both sides of the first equation, therefore, the equations have the same solution.

If you want to verify this, you can solve for "x" from both equations:

- First equation:

$-3x-8=19\\\\-3x=19+8\\\\x=\frac{27}{-3}\\\\x=-9$

- Second equation:

$-3x-2=25\\\\-3x=25+2\\\\x=\frac{27}{-3}\\\\x=-9$

5 0

2 years ago

Please help with this if you don’t know don’t answer

astraxan [27]

Answer:

3\16

Step-by-step explanation:

movement of snail per hour,1/8×3/2=3/16

5 0

2 years ago