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
jekas [21]
2 years ago
13

In right triangle ABC with right angle C, AC=9 and the measure of angle B=30 degree. Find the length of AB.

Mathematics
2 answers:
dusya [7]2 years ago
7 0
Since you know angle B and length of ac, you can use the Sin ratio to determine the length of ab. Set up as Sin30 = 9/x. As sin= opp/hyp and x=unknown length.
Then cross multiply and divide. move x over to sin30, then move sin30 under 9.
So now you have x= 9/Sin30. enter in calculator, but make sure you are in degree mode!!!
pshichka [43]2 years ago
3 0
From\ triangle\ with\ angles: 30^{\circ},60^{\circ},90^{\circ}\\\
|AB|=a\sqrt{3}\\
|AC|=a=9\\\\
|AB|=9\sqrt{3}\\\\
Length\ of\ |AB|\ is\ equal\ to\ 9\sqrt{3}.

You might be interested in
before getting to school john has a few errands to run john has to walk 5 blocks to the galley and 9 blocks to the library befor
Serggg [28]

Answer:

  9 blocks

Step-by-step explanation:

The total of what John has already walked and the number more he must walk will be equal to the number he has to walk to get to school.

  12 + more = 5 + 9 + 7

  more = 9 + 5 + 7 - 12 . . . . . subtract 12 from both sides

  more = 9

John must walk 9 blocks more.

_____

We recognize that 5+7 = 12, so that last part of the sum totals zero.

6 0
2 years ago
A certain brand of golf balls comes in packs of 24. Each pack has three yellow golf balls in it. Willam orders 360 golf balls on
iogann1982 [59]

Start by taking the total number of golf balls, 360, and dividing it by how many golf balls come in each pack, to find the number of packs.


360 ÷ 24 = 15


So there are 15 packs, each with 3 yellow golf balls.


15 · 3 = 45


Meaning 45 of the golf balls would be yellow



3 0
3 years ago
Read 2 more answers
What is the length of side a?
Bad White [126]

\huge \bf༆ Answer ༄

According to given figure, The Triangle BDC is a right angled Triangle (Angle D = 90°)

So, we can apply Pythagoras theorem to find the Side a (Hypotenuse)

Now, let's solve ~

  • \sf \: BD {}^{2}   + CD {}^{2} =   BC {}^{2}

  • \sf4 {}^{2}  +  {3}^{2}  =  {a}^{2}

  • \sf16 + 9 =  {a}^{2}

  • \sf \: a {}^{2}  = 25

  • \sf \: a =  \sqrt{25}

  • \sf \: a  = 5 \: units

Therefore, Length of side a is 5 units ~

6 0
2 years ago
Can someone explain to me the steps how they got 2 √4^2+2x-3-2 from this question…
Naddik [55]

Step-by-step explanation:

with your square root symbol I never know what is inside the square root and what is possibly outside.

so, I can only guess and see what comes close.

f(x) = 2x² + x - 1

g(x) = sqrt(2x - 1) ??? is that so ?

h(x) = -2

2g(f(x)) + h(x)

g(f(x)) means that the whole f(x) expression is used as x in g(x).

the whole combined function is then

2×sqrt(2(2x² + x - 1) - 1) - 2

2×sqrt(4x² + 2x - 2 - 1) - 2

2×sqrt(4x² + 2x - 3) - 2

and if I am not mistaken, then this is the solution you mentioned at the beginning (if I try to read between the typos and missing info).

this is how people get to this.

do you understand it now ? or is there still something unclear ?

6 0
2 years ago
4+3(3x + 1) = 29 - 2x
Mademuasel [1]

Answer:

Step-by-step explanation:

4 + 9x + 3 = 29 - 2x

9x + 7 = 29 - 2x

11x = 22

x = 2

6 0
3 years ago
Read 2 more answers
Other questions:
  • What is the measure of
    9·1 answer
  • Write the number 0.632 in the other forms
    15·1 answer
  • when 1760 is divided into 14 equal parts the remainder is 10. what is a correct way to write the quotient ​
    12·1 answer
  • Two points A and B are A (0,1) and B (2,4). Write down the eqaution of the line perpendicular to AB and Passing through the poin
    12·1 answer
  • WHOEVER CAN SOLVE THIS IS A CRAZY GENIUS!!
    15·1 answer
  • Gary needs 24 screws for every 2 chairs he builds
    8·1 answer
  • It typically takes Mr. Dunn 20 minutes to get to school, but it took him 40% longer today. How long did it take Mr. Dunn to get
    10·1 answer
  • ?????????????????????????????????????????????????????????????????????????
    12·1 answer
  • D. Solve the following problems:
    14·1 answer
  • 72 boxes sold out of 90 boxes what percent sold
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!