Find the value of angle M. HELP ME PLEASE!! Show your work!!

If a = 7 and b = 11, what is the measure of ∠B? (round to the nearest tenth of a degree) A) 32.5° B) 39.2° C) 50.5° D) 57.5°

Ilia_Sergeevich [38]

Answer:

D) 57.5°

Step-by-step explanation:

As the question is not complete. So, let's suppose it is a right angle triangle then, we can apply Pythagoras theorem to calculate the hypotenuse or the third side.

Pythagoras Theorem = $c^{2}$ = $a^{2} + b^{2}$

a = 7 and b = 11

$a^{2}$ = 49

$b^{2}$ = 121

Plugging in the values, we will get:

$c^{2}$ = 49 + 121

$c^{2}$ = 170

c = $\sqrt{170}$

To calculate the unknown angle B, we can use law of sine.

Law of sine = $\frac{a}{sinA}$ = $\frac{b}{sinB}$ = $\frac{c}{sinC}$

So,

$\frac{c}{sinC}$ = $\frac{b}{sinB}$

$\frac{\sqrt{170} }{sin90}$ = $\frac{11}{sinB}$

Sin90 = 1

sinB = $\frac{11}{\sqrt{170} }$

B = $sin^{-1}$ ( $\frac{11}{\sqrt{170} }$ )

B = 57.5°

8 0

3 years ago

Is the distance a baseball travels in the air after being hit a discrete random variable, a continuous random variable, or not

LuckyWell [14K]

Answer: a continuous random variable

Step-by-step explanation:

Can you count the distance it traveled? You can't, so it couldn't be discrete because you can count discrete variables.

Can you measure the distance it traveled? You sure can, that makes it a continuous random variable.

Do you know the exact distance it's going to travel? You won't, therefore it's a random variable since you don't know the value beforehand.

5 0

2 years ago

Identify the numbers that are located to the right of -4 1/3 on a horizontal number line

QveST [7]

Answer:

- 1/2

5 1/2

-3 2/3

-1 2/3

2/3

-4

Step-by-step explanation:

7 0

2 years ago

Solve. x^2+9x+2=0 thanks!

shtirl [24]

Step one:
ALWAYS set equation equal to zero, which in this case has already been done for us.

Step two:
Figure out what formula you need to use in order to solve in this case I'd use the Quadratic formula.

a=1
b=9
c=2

Quadratic formula:
$x = \frac{ - b + - \sqrt{(b) ^{2} - 4(a)(c)} }{2(a)}$
Then you would plug in the information.
$x = \frac{ - 9+ - \sqrt{(9) {}^{2} - 4(1)(2) } }{2(1)}$
The solve for what is underneath the square root ONLY.
$x = \frac{ - 9 + - \sqrt{73} }{2}$
Since you cannot solve this any further, your final two answers are...
$x = \frac{ - 9 + \sqrt{73} }{2}$
$x = \frac{ - 9 - \sqrt{73} }{2}$

3 0

3 years ago

PLEASE HELP!!! GEOMETRY QUESTION

maria [59]

Answer:

Step-by-step explanation:

2y + 100 +6x-10=180(in a cyclic quadrilateral opposite angles are supplementary)

2y+6x+90 =180

2y + 6x = 90

dividing each side by 2

y+3x = 45 ........1

7x+1+2y+74 =180 ( same reason)

7x + 2y =105 ............2

multiplying 1 by 2

2y +6x =90........ 3

subtracting 3 from 2

7x+2y-2y-6x = 105-90

x = 15

substituting x=15 in 1

y+45 =45

y= 0

please mark me as the brainliest

7 0

2 years ago