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exis [7]
2 years ago
10

M ∪ N = ____. {3, 4, 6, 7, 9} {3, 4, 5, 6, 8, 9} {2, 4, 6, 8}

Mathematics
1 answer:
Bezzdna [24]2 years ago
4 0
{3, 4, 6, 7, 9}????????????/



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What is the measure of angle R?
tigry1 [53]

Option B:

25 degrees

Solution:

Given data in triangle PQR,

The side opposite to angle P is p.

The side opposite to angle Q is q.

The side opposite to angle R is r.

q = 36, r = 20, angle Q = 50°.

<u>To find the measure of angle R:</u>

Using law of sine,

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

$\Rightarrow\frac{p}{\sin P}=\frac{q}{\sin Q}=\frac{r}{\sin R}

Take only two sides.

$\Rightarrow\frac{q}{\sin Q}=\frac{r}{\sin R}

Substitute the given values.

$\Rightarrow\frac{36}{\sin 50^\circ}=\frac{20}{\sin R}

Do cross multiplication.

\Rightarrow36\times\sin R = \sin50^\circ\times20

sin 50° = 0.766

\Rightarrow36\times\sin R = 0.766\times20

\Rightarrow36\times\sin R = 15.32

$\Rightarrow\sin R = \frac{15.32}{36}

$\Rightarrow\sin R = 0.4255

$\Rightarrow R = \sin^{-1}(0.4255)

⇒ R = 25.18°

⇒ R = 25° (approximately)

Option B is the correct answer.

Hence the measure of angle R is 25 degrees.

3 0
3 years ago
Brainliest !!!! Multiple choice
prisoha [69]

Answer:

b

Step-by-step explanation:

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3 years ago
Emily and Holly took a road trip together. Emily drove at an average of 45 miles per hour for the first 3/7 of the total distanc
Elan Coil [88]
Emily drove 3/7 of the total distance and holly drove the rest which explains that holly drove 4/7 of the whole distance.

if 4 parts of the distance equals 24 miles, then 1 part would be 24/4 is 6.
since emily drove 3 parts of the whole distance, it is 6 × 3 = 18 miles.

travelling time of emily = 18/45 = 0.4 hr
travelling time of holly = 24/54 = 0.4 hr
--> total traveling time = 0.8 hr

i hope it is right
3 0
2 years ago
27 divided by 55 using long division (please show work) HELP
guapka [62]
27 divided by 55= 0.490909 repeating
Step by Step Explanation:
picture below

5 0
3 years ago
help me PIZThis is a picture of a cube and the net for the cube.What is the surface area of the cube? k12
Sunny_sXe [5.5K]

Answer:

486 in²

Step-by-step explanation:

9x9x6=486 in²

5 0
2 years ago
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