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
gulaghasi [49]
3 years ago
14

Help with this I don't know how to solve

Mathematics
1 answer:
Gnesinka [82]3 years ago
4 0

Answer:

The right answer is the first option, tg= \frac{\sqrt{105}}{4}

Step-by-step explanation:

The tg is the ratio of the opposite cathet to the adjacent cathet .

Here b is the opposite cathet, с is the hypotenuse and b is an adjacent cathet.

tg = \frac{b}{a}

Let's find b.

c^2=a^2+b^2\\ b^2=c^2-a^2\\ b^2=22^2-8^2\\ b^2=484-64\\ b^2=420\\ b=\sqrt{420} = \sqrt{2*21*2*5} = 2\sqrt{105}

Now let's find tgθ.

tg = \frac{b}{a} \\ tg =  \frac{2\sqrt{105}}{8} \\ tg=\frac{\sqrt{105}}{4}

You might be interested in
I want a way to solve this question​
noname [10]

Answer:

Step-by-step explanation:

cos~L=\frac{m^2+n^2-l^2}{2mn} \\=\frac{5^2+8^2-7^2}{2*5*8} \\=\frac{25+64-49}{80} \\=\frac{40}{80} \\=\frac{1}{2} \\=cos 60\\

∠L=60°

5 0
2 years ago
The line plots show the results of a survey of 12 boys and 12 girls about how many hours they spent reading for pleasure the pre
lana66690 [7]

Answer:

The range for boys is 0-12 and the mean is 5.1

The range for girls is 2-8 and the mean is 5.3

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Solve 3(a + 3) – 6 = 21. Write a reason for each step.
kakasveta [241]

Answer:

Step-by-step explanation:

3(a+3)-6=21

<=>3a+9-6=21

<=>3a+3=21

<=>3a=18

<=>a=6

7 0
2 years ago
Read 2 more answers
An amusement park offers two options. Option 1 involves a $10 admission fee plus $0.50 per ride. Option 2 involves a $6 admissio
Art [367]

Answer:

16 rides

Step-by-step explanation:

Option 1 . Admission fee = $10

                Each ride = $0.50

Option 2 . Admission fee = $6

                Each ride = $0.75

Let no. of rides be x

So, cost of ride according to option 1 = 0.50x

So, total cost after having x rides according to option 1 :

= 10+0.50x  ---1

Cost of ride according to option 2 = 0.75x  

So, total cost after having x rides according to option 2 :

= 6+0.75x  --2

Now to find the beak even point i.e. having the same cost

Equate 1 and 2

10+0.50x=6+ 0.75x

10-6= 0.75x-0.50x

4= 0.25x

\frac{4}{0.25} =x

16=x

Thus for 16 rides , the two options have the same cost .

Hence the break even point is 16 rides

5 0
3 years ago
How many dimensions are in a point? <br><br> A. 0<br> B. 1<br> C. 2<br> D. 3
Juliette [100K]

Answer:

0 dimensions are in a point

6 0
2 years ago
Read 2 more answers
Other questions:
  • February 12, 2009 marked the 200th anniversary of Charles Darwin's birth. To celebrate, Gallup, a national polling organization,
    15·1 answer
  • Weinstein, McDermott, and Roediger (2010) con- ducted an experiment to evaluate the effectiveness of different study strategies.
    13·1 answer
  • All help is appreciated! If sin²(32°) +cos² (M) = 1, then M equals?
    12·1 answer
  • Simplify (7^2 -4^2) - [(24) /(-6)]
    5·1 answer
  • The probability of choosing a green marble from a bag is 3/5.
    15·1 answer
  • You own a Roulette Wheel, which has 37 (European Version) equally distributed parts, each has a number number associated. 0 is g
    11·1 answer
  • Determine if the given relation is also a function.
    5·2 answers
  • I keep getting this wrong. Can someone help please? Its the order of proofs in geometry. Thank you!
    7·1 answer
  • The vertices of ΔABC are A(−3,4)​, B(−2,4)​, and C(−5,2). If ΔABC is reflected across the line y=−2 to produce the image Δ​A'B'C
    5·1 answer
  • Surface area=<br> Volume =<br> Help me please thanks
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!