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
Viktor [21]
3 years ago
11

Help help help help pls

Mathematics
1 answer:
Monica [59]3 years ago
6 0

Answer:

\theta = 82.2^\circ

Step-by-step explanation:

Let \  \angle BAC = \theta

Opposite = BC ,

Adjacent = AB = x = 3 ,

Hypotenuse = AC = y = 22

<em><u>Using trigonometric ratios.</u></em>

sin \theta = \frac{opposite}{hypotenuse }\\\\cos \theta = \frac{adjacent}{hypotenuse}\\\\tan \theta = \frac{opposite}{adjacent}

Since we have adjacent and hypotenuse we use cosine's  ratio

to find the angle.

           cos \theta = \frac{x}{y} = \frac{3}{22} \\\\\theta = cos^{-1} \frac{3}{22} = 82.16 = 82.2^\circ

You might be interested in
3 letters without replacement 4 letters A B C D how many ways can this be done if the order of the choices matters
Veseljchak [2.6K]

Answer:

Since the order of choice matters, we will permute the values.                       a bit more explanation for this:

If the order of choice did NOT matter, ABC and BCA will be counted as one since order of choice does NOT matter

Since order of choice does matter, ABC , BCA and CAB are all different possibilities for the arrangement of the same 3 letters

Since we have 3 slots:

___  ___ ___

Now, for the first slot. You can out either one if the 4 alphabets in the first slot since no slot has been used as of now

So:

_<u>4</u>_ ___ ___

**Keep in mind that the 4 is the possible number of values this slot can have**

Now that one slot has been used, one of the 4 alphabets has been used and since we are not allowed to repeat the same alphabets, we are left with  3 more alphabets

we can put any one of the 3 alphabets in this second slot, Hence:

_<u>4</u>_ <u>_3_</u> ___

Now that 2 of the 4 alphabets have been used, we are left with only 2 alphabets, so there are only 2 possible alphabets for slot 3

Therefore:

_<u>4</u>_ _<u>3</u>_ _<u>2</u>_

Now that we know the possible alphabets for all 3 slots, we will multiply them with each other to get the total possible number of 3 - alphabet words we can make with 4 alphabets

Total possible words = 4 * 3 * 2

Total possible words = 24

We could've used the formula for Permutation as well

8 0
3 years ago
Jake has three different colored pens in his book bag: blue, green and purple. The probability of randomly choosing a blue pen f
Nadya [2.5K]

Answer:

the Pearson above me is right

Step-by-step explanation:

4 0
3 years ago
An rectangular water tank has a base area of 56 sq. ft. and a height of 4 ft. Find its volume in cubic feet.
ira [324]

Answer: 224 cubic feet

Step-by-step explanation: If the base of the tank is 56 sq feet in<u> area </u> then the dimensions could be, (2,28) (4,14) (7,8) for example. However, it doesn't really matter. It's only important that the information we know is that it is area and there are two dimensions. Since volume is determined by base x width x height, we do 56 x 4. Or using one of the factored pairs that works, for example, 8 x 7 x 4 = 224.

7 0
2 years ago
I need to simplify this expression : 6• (10•k)
Temka [501]

Answer:

6 x 10= 60

60/2=30

Answer is<u> 30</u> i think

Step-by-step explanation:

7 0
3 years ago
If Lylah completes the square for f(x) = x 2 + 24x -18 in order to find the minimum, she must write f(x) in the general form f(x
olga nikolaevna [1]

Answer:

Step-by-step explanation:

F(x)=  (x − a)2 + b

Rewrite the equation as (X-a)2 + b= f(X) (X-a)2 + b= f(X)  subtract (x-a)^2 from both sides of the equation b=f(x)- (x-a)^2

3 0
3 years ago
Other questions:
  • Write and solve a real world problem that involves two digit and a four digit dividend
    11·1 answer
  • A cookie factory uses 1/6 of a bag of flour in each batch of cookies. The factory uses 5/6 of a bag of flour yesterday. How many
    9·1 answer
  • Can someone help my do step by step 579 divided by 3
    11·1 answer
  • Evaluate the expression 36 1/2
    5·2 answers
  • Does the rule y=6x^7 represent an exponential function
    14·2 answers
  • How many cubic feet of soil are needed to fill a raised vegetable bed that measure 12 feet by 10 feet by 9 inches?
    14·1 answer
  • ABC Bookstore uses a storage unit that measures 13 ft x 16 ft x 12 ft. What is
    15·1 answer
  • How many possible outcomes are there?​
    8·1 answer
  • Plzzz help me with my math it hard
    7·1 answer
  • Triangle ABC has vertices at A(−3, 4), B(4, −2), C(8, 3). The triangle translates 2 units up and 1 unit right. Which rule repres
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!