All categories

3 years ago

Please help answer asap

Mathematics

1 answer:

tester [92]3 years ago

5 0

Answer:

Step-by-step explanation:

Using the SOh CAH TOA identity'

tan theta = opposite/adjacent

For <C

opposite = √22

adjacent = 6

tan <C = √22/6

<C = arctan √22/6

<C = arctan 0.7817

<C = 38.015 degrees

<em>hence tan <C from the solution is √22/6</em>

You might be interested in

A chef buys 9 cucumbers, 18 peppers, and 21 tomatoes. How much did he spend?6 for 2 dollars for cucumbers 12 for 9 dollars for p

geniusboy [140]

6 Cucumbers = $2
$2/6 = $0.33 per cucumber
12 peppers= $9
$9/12= $0.75 per pepper
6 tomatoes= $4
$4/6= $0.66 per tomatoes
9 cucumbers= $2.97
18 peppers= $13.5
21 tomatoes=$13.86
Total= (2.97+13.5+13.86)----> $30.33

3 0

3 years ago

Solve for Y........................

aivan3 [116]

11 squared is 121
20 squared is 400
121+400= 521
The approximate square root of 521 is approximately 22.8254

4 0

3 years ago

[6+4=10 points] Problem 2. Suppose that there are k people in a party with the following PMF: • k = 5 with probability 1 4 • k =

kirza4 [7]

Answer:

1). 0.903547

2). 0.275617

Step-by-step explanation:

It is given :

K people in a party with the following :

i). k = 5 with the probability of $\frac{1}{4}$

ii). k = 10 with the probability of $\frac{1}{4}$

iii). k = 10 with the probability $\frac{1}{2}$

So the probability of at least two person out of the 'n' born people in same month is = 1 - P (none of the n born in the same month)

= 1 - P (choosing the n different months out of 365 days) = $1-\frac{_{n}^{12}\textrm{P}}{12^2}$

1). Hence P(at least 2 born in the same month)=P(k=5 and at least 2 born in the same month)+P(k=10 and at least 2 born in the same month)+P(k=15 and at least 2 born in the same month)

= $\frac{1}{4}\times (1-\frac{_{5}^{12}\textrm{P}}{12^5})+\frac{1}{4}\times (1-\frac{_{10}^{12}\textrm{P}}{12^{10}})+\frac{1}{2}\times (1-\frac{_{15}^{12}\textrm{P}}{12^{15}})$

= $0.25 \times 0.618056 + 0.25 \times 0.996132 + 0.5 \times 1$

= 0.903547

2).P( k = 10|at least 2 share their birthday in same month)

=P(k=10 and at least 2 born in the same month)/P(at least 2 share their birthday in same month)

= $0.25 \times \frac{0.996132}{0.903547}$

= 0.0.275617

6 0

3 years ago

the first Indianapolis 500 auto race took place in 1911. the winning car covered the 500 miles in 6.7 hours. what was the winnin

Vesna [10]

Average speed = (distance covered) / (time to cover the distance)

   = (500 miles) / (6.7 hours)

   = (500 / 6.7) (mile/hour)

   = 74.63 miles per hour.

I imagine there were quite a number of pit stops included in that.

This is faster than I expected when I first read your question.
That's really gettin' with it for cars in 1911 !

4 0

3 years ago

3 multiply by 2x - 5 = 27.

jeka94

Answer:

x=2.7

Step-by-step explanation:

27 divided by 5 = 5.4 and 5.4 divided by 2 = 2.7

8 0

3 years ago