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
rusak2 [61]
3 years ago
13

Find the length of the missing side. If necessary, round to the nearest tenth.

Mathematics
1 answer:
svetlana [45]3 years ago
3 0

The pythagorean theorem states that the sum of the squares of two legs of a right triangle is equivalent to the hypotenuse.

So:

35^2 + b^2 = 40^2

1225 + b^2 = 1600

b^2 = 375

b = \sqrt{375}

b = 19.3649

<u>The missing side's length rounded to the nearest tenth is Option C, 19.4</u>

You might be interested in
Trigonometric question, 30 points, will give brainliest.
zheka24 [161]

hmmm first off let's convert the √3 +i to trigonometric form, and then use De Moivre's root theorem, bearing in mind that √3 and i or 1i are both positive, meaning we're on the I Quadrant.

\bf (\stackrel{a}{\sqrt{3}}~,~\stackrel{b}{1i})\qquad \begin{cases} r=&\sqrt{(\sqrt{3})^2+1^2}\\ &\sqrt{3+1}\\ &2\\ \theta =&tan^{-1}\left( \frac{1}{\sqrt{3}}\right)\\\\ &tan^{-1}\left( \frac{\sqrt{3}}{3} \right)\\ &\frac{\pi }{6} \end{cases}~\hfill \implies ~\hfill 2\left[ cos\left( \frac{\pi }{6}\right) +i~sin\left( \frac{\pi }{6}\right) \right]

\bf ~\dotfill\\\\ \qquad \textit{power of two complex numbers} \\\\\ [\quad r[cos(\theta)+isin(\theta)]\quad ]^n\implies r^n[cos(n\cdot \theta)+isin(n\cdot \theta)] \\\\[-0.35em] ~\dotfill

\bf \left[ 2\left[ cos\left( \frac{\pi }{6}\right) +i~sin\left( \frac{\pi }{6}\right) \right] \right]^3\implies 2^3\left[ cos\left( 3\cdot \frac{\pi }{6}\right) +i~sin\left( 3\cdot \frac{\pi }{6}\right) \right] \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill 8\left[cos\left( \frac{\pi }{2} \right) +i~sin\left( \frac{\pi }{2} \right) \right]~\hfill

3 0
4 years ago
Describe the relationship between the base and the exponent in 4 to the third power
galina1969 [7]

Answer:

it is multiply 4 3times

8 0
3 years ago
3(8+9) there is nothing
astra-53 [7]

Answer:

  • 51

Step-by-step explanation:

  • 3(8+9) =                Parenthesis
  • 3(17) =                   Multiplication
  • 51
5 0
3 years ago
ssri has a bag containing 6 half dollars and 5 dollar coins. What is the total mass of coins in saris bag ,half dollar 11.34 and
Lelu [443]

Answer:

19.44??

Step-by-step explanation:

8 0
3 years ago
I do not understand
Ivenika [448]
A) 1
B) 10/3
C) 6
D) 18/5
So only C is bigger than 4
4 0
3 years ago
Read 2 more answers
Other questions:
  • Is the slope Positive, Negative, Zero or Undefined?<br><br> Find the slope<br> What does m=
    7·2 answers
  • What is the answer to r/10+4=5
    15·2 answers
  • Factor completely 16x^8 − 1.
    15·1 answer
  • I do not understand how to do this?
    12·2 answers
  • Calculate the distance between the points K = −1, −4 and L = −82 in the coordinate plane.
    15·1 answer
  • What do you get when 1.293 and 150
    7·1 answer
  • A customer wants to purchase a sweater from a store.
    15·2 answers
  • Evaluate 4 + (m - n)^4 when m = 7 and n = 5
    6·2 answers
  • Question 27
    15·1 answer
  • Make x the subject of y = 3x - 2​
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!