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
zzz [600]
2 years ago
10

Find the missing side of the triangle SHOW YOUR WORK!!

Mathematics
2 answers:
o-na [289]2 years ago
7 0

139.49

Step-by-step explanation:

using trig ratios.

tan=o/a

tan74°=n/40

40tan74°=n

use calculator to solve

=139.49

hope this helped :)

Ksju [112]2 years ago
5 0

<u>We will solve it using trigonometry formulas:</u>

<u></u>\boxed{&#10;\begin{minipage}{5 cm}&#10;{Formulae:} \\ \\&#10;$\bigstar\:\:\sin\theta\:=\:\frac{Opposite}{Hypotenuse} \\ \\&#10;\bigstar\:\:\cos\theta\:=\:\frac{Adjacent}{Hypotenuse} \\ \\&#10;\bigstar\:\:\tan\theta\:=\:\frac{Opposite}{Adjacent}$&#10;\end{minipage}&#10;}

\rule{190pt}{2pt}

\bold{\ttt{Given,}}\\

\sf{Adjacent=40}\\&#10;\sf{Opposite=n}\\&#10;\sf{\theta=74\°

\bold{\ttt{Solution,}}\\

{\tan\theta\:=\:\frac{Opposite}{Adjacent}}}

{\sf{\tan74\:=\:\frac{n}{40}

{\sf{\tan74\:x\:40\:=\:n

{\sf{139.49\:=\:n

{\sf{n\:\approx139.5

\boxed{\sf{n\:=\:139.5}}

You might be interested in
4 is added to the data set 22, 25, 31, 33, 24. Answer true or false for the following statements.
Vedmedyk [2.9K]

Answer:

The range and mean will increase - False

(because only range will increase, mean will decrease)

The mean and median will decrease - True

The mean will decrease but the median will stay the same - False

(Both of mean and median will decrease)

An outlier is more likely to change the median than the mean - False

(An outlier is more likely to change the mean than the median)

3 0
4 years ago
How do you use a number line with ratios?​
Natalija [7]

Answer:

act as if the ratio is a fraction 4:3 would be 4/3..

Step-by-step explanation:

5 0
3 years ago
The cake that Larry is baking requires 1 cup of sugar. Larry is adding sugar to a bowl using a measuring scoop. In the first sco
crimeas [40]
No he really sucks at cooking
4 0
3 years ago
Read 2 more answers
Hi guys, can anyone help me with this triple integral? Many thanks:)
Crank

Another triple integral.  We're integrating over the interior of the sphere

x^2+y^2+z^2=2^2

Let's do the outer integral over z.   z stays within the sphere so it goes from -2 to 2.

For the middle integral we have

y^2=4-x^2-z^2

x is the inner integral so at this point we conservatively say its zero.  That means y goes from -\sqrt{4-z^2} and +\sqrt{4-z^2}

Similarly the inner integral x goes between \pm-\sqrt{4-y^2-z^2}

So we rewrite the integral

\displaystyle \int_{-2}^{2} \int_{-\sqrt{4-z^2}}^{\sqrt{4-z^2}} \int_{-\sqrt{4-y^2-z^2}}^{\sqrt{4-y^2-z^2}} (x^2+xy+y^2)dx \; dy \; dz

Let's work on the inner one,

\displaystyle\int_{-\sqrt{4-y^2-z^2}}^{\sqrt{4-y^2-z^2}} (x^2+xy+y^2)dz

There's no z in the integrand, so we treat it as a constant.

=(x^2+xy+y^2)z \bigg|_{z=-\sqrt{4-y^2-z^2}}^{z=\sqrt{4-y^2-z^2}}

So the middle integral is

\displaystyle\int_{-\sqrt{4-z^2}}^{\sqrt{4-z^2}}2(x^2+xy+y^2)\sqrt{4-y^2-z^2} \ dy  

I gotta go so I'll stop here, sorry.

7 0
3 years ago
Read 2 more answers
Pythagorean theorem. Appreciate the help with this question . Thank you very much who ever help with the question .
NikAS [45]

\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c=\sqrt{a^2+b^2} \qquad \begin{cases} c=\stackrel{hypotenuse}{x}\\ a=\stackrel{adjacent}{30}\\ b=\stackrel{opposite}{40}\\ \end{cases} \\\\\\ x=\sqrt{30^2+40^2}\implies x=\sqrt{2500}\implies x=50

5 0
2 years ago
Other questions:
  • How can the expression 3(4x) + 2(7y) be simplified?
    14·2 answers
  • Quadrilateral ABCD is inscribed in a circle. Find the measure of each angle of the quadrilateral.
    9·1 answer
  • What is the slope of a line parallel to the equation 4x - 2y =8
    15·1 answer
  • A company has budgeted $21,200 to buy TV ads. A TV ad costs $6,575 per
    12·1 answer
  • 25, 34, 46, 37, 33, 42, 40, 37, 34, 49, 73, 46, 45, 45, 5. how many outliers do these data contain?
    8·2 answers
  • Pls answer this fast
    14·1 answer
  • Sketch the graph for each function. Choose either A, B, C, or D.
    15·1 answer
  • HELP meeeeeeeeee pwease :'(<br><br> BRAINLIEST
    11·2 answers
  • Why does the graph of a function shift left when K is positive and to the right when K is negative?
    8·1 answer
  • HELP ASAP LIKE RIGHT NOW
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!