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
natima [27]
3 years ago
14

Find the value of $x$ for the right triangle. A right triangle with base labeled x and hypotenuse labeled 12 units. Angle betwee

n the height and hypotenuse is labeled 30 degrees. $x=$
Mathematics
1 answer:
slamgirl [31]3 years ago
8 0

Answer:

6 feets

Step-by-step explanation:

The triangle described in the question has been sketched in the picture attached below :

From the triangle, we could solve for X, which is the base of the triangle using trigonometry :

Sinθ = opposite / hypotenus

Sin 30° = x / 12

0.5 = x / 12

x = 12 * 0.5

x = 6 feets

Hence base, x = 6 feets

You might be interested in
Write a situation in which positive and negative numbers are used to describe values that have opposite meaning. What does a 0 r
MrRa [10]
This could be a situation in which items are both bought and sold. In calculating the inventory, positive numbers represent items bought, negative numbers represent items sold and 0 would be no items in the inventory.

Another type of situation would be the displacement of an object from the original position. Where 0 would represent the original/starting position, positive values would represent distance moved forward, negative values represent distance moved backwards. 
4 0
3 years ago
HELP DUE IN 15 MINS!
enot [183]

Answer:

m∠1 = 25° (opposite angles are congruent)

m∠2 = 87° ⇒ 180 - (25 + 68)

m∠3 = 68° ⇒ 180 - (87 + 25)

Hope this helps!

3 0
3 years ago
a recipe calls for 2 2/3 cups of flour every 1/6 cup of cinnamon.If Richard has 1 cup of cinnamon already in the recipe, how man
Mashcka [7]

Step-by-step explanation:

2 2/3

=><em>If</em> 8/3 = 1/6

x =1

1/6x = 8/3 ( Divide both sides by <em>1</em><em>/</em><em>6</em><em> </em>)

___ ___

1/6 1/6

(By cross-multiplying the numerators and denominators)

=> 1×6 8×6

___ x = ___

6×1 3×1

Cancelling out , we have

x = 8×2

____ = 8×2 = 16

1 × 1

<em>The</em><em> </em><em>final</em><em> </em><em>answer</em><em> </em><em>becomes</em><em> </em><em>1</em><em>6</em>

<em>Hope</em><em> </em><em>it</em><em> </em><em>helps</em><em>.</em>

6 0
3 years ago
Factorize 2a^2+7a-15​
loris [4]

\huge\bf  \pink {\underline{Solution :-}}

2 {a}^{2}  + 7a - 15

= 2 {a}^{2}  + 10a - 3a - 15

= 2a(a + 5) - 3(a + 5)

= (a + 5)(2a - 3)

\sf \red{Hence, Answer \:  is  \: (a + 5)(2a - 3).}

\\

\bf \purple{ \underline{ Important  \: Formulas  \: for  \: Factorization :-}}

• \:  {a}^{2}  + 2ab + {b}^{2} =  {(a + b)}^{2}

• \: (a + b)(a - b) =  {a}^{2}  -  {b}^{2}

• \:  {a}^{2} - 2 ab  +  {b}^{2}  =  {(a - b)}^{2}

• \:  {a}^{3}  + 3 {a}^{2} b + 3a {b}^{2}  +  {b}^{3} =  {(a + b)}^{3}

• \:  {a}^{3}   -  3 {a}^{2} b + 3a {b}^{2}   -  {b}^{3} =  {(a  - b)}^{3}

•  \:  {(a + b)}^{2}  +  {(a - b)}^{2}  = 2( {a}^{2}  +  {b}^{2} )

• \: {(a + b)}^{2}   -   {(a - b)}^{2}  = 4ab

• \: (a + b)( {a}^{2}   -ab   +  {b}^{2}  ) =  {a}^{3}  +  {b}^{3}

• \: (a  -  b)( {a}^{2}    + ab   +  {b}^{2}  ) =  {a}^{3}   -  {b}^{3}

• \:   {( \frac{a + b}{2} )}^{2}  - ( {\frac{a - b}{2} } )^{2}  = ab

5 0
3 years ago
Read 2 more answers
Over the three evenings,Karen received a total of 137 phone calls at the call center. The third evening, she received 4 times as
marin [14]

Answer:

1st: 22, 2nd: 27, 3rd: 88

Step-by-step explanation:

Make an equation

If she recieved x calls the 1st evening, then the 2nd evening she recieved x+5, and the 3rd evening she recieved 4x.

x+x+5+4x=137

Combine like terms

6x+5=137

Subtract 5 from both sides

6x=132

Divide by 6 on both sides

x=22

First:

22 calls

Second:

x+5

22+5

27 calls

Third:

4x

4*22

88 calls

Hope this helps!

3 0
2 years ago
Other questions:
  • HELP MEEEE!!! WILL BE MARK AS A BRAINLISTTTT!!! Please!!
    11·1 answer
  • Given that the hypotenuse of a triangle is c, which is the Pythagorean Theorem? a2 + c2 = b2 a2 – b2 = c2 2a + 2b = 2c none of t
    12·2 answers
  • Help with 7-12 please!​
    9·1 answer
  • How do you factor 81m^2-25
    11·1 answer
  • a school librarian ordered new books for the library. 1/3 are science 2/5 are biography and the rest of the books are fiction. W
    12·2 answers
  • Please help with both and leave a small explanation! I wanna double check my answers!
    5·1 answer
  • The volume of sphere Q is 50% more than the volume of sphere P. The volume of sphere R is 50% more than the volume of sphere Q.
    13·1 answer
  • A standard container measures 2.4 m by 2.4 m by 6 m.
    10·1 answer
  • Solve for x. assuming that lines which appear tangent are tangent
    8·1 answer
  • Write the sentence as an equation,<br><br> Four times the difference of -10 and 3 amounts to -52.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!