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
Nataly [62]
3 years ago
14

What is X=? // which choice is correct ? (Ignore my guessing choice mark)

Mathematics
1 answer:
mamaluj [8]3 years ago
7 0

Given:

A figure of a right angle triangle.

To find:

The length of the shorter leg.

Solution:

In a right angle triangle,

\tan\theta =\dfrac{Opposite}{Adjacent}

In the given triangle,

\tan (60^\circ) =\dfrac{18}{x}

\sqrt{3}=\dfrac{18}{x}

x=\dfrac{18}{\sqrt{3}}

x=\dfrac{18}{\sqrt{3}}\times \dfrac{\sqrt{3}}{\sqrt{3}}

On further simplification, we get

x=\dfrac{18\sqrt{3}}{3}

x=6\sqrt{3}

x=10.3923

x\approx 10.4

Therefore, the length of the shortest leg is 10.4 and the correct option is B.

You might be interested in
If 1 is added to a number and the sum is tripled​, the result is 17 more than the number. Find the number
bearhunter [10]
Form an equation. Start by representing the number you want to find as X. Now add 1.
X + 1
Now we need to triple it. That basically means multiply X+1 by 3. You can write that as:
3 (X + 1)
Now we write out that the result is 17 more than the number we want to find. So set an equals sign up
3 (X + 1) =
And now write X + 17
3 (X + 1) = X + 17

Now we solve for X.
Firstly, let's get rid of the X on the right.
Remember, if we want to get rid of a number of variable on one side, we need to use opposites, and do the same to the other side of the equation.
In this case, we have a positive X on the right. To get rid of that, we subtract X from both sides. This will leave us with:
2x + 3 = 17
Now let's get rid of the +3 on the left. To do this, we subtract 3 from both sides of the equation.
2x = 17 - 3
2x = 14
Now we just need to get X by itself. The 2 in front of the X multiplies X by 2. Therefore, to get X on its own, we need to divide 2x by 2, which just gives us 2.
We also need to divide the other side by 2, because if we do something on one side, we need to do something on the other too. So divide 14 by 2, and we get 7.
X = 7

But before we celebrate, let's double check the answer. Add 1 to 7. This gives us 8. Triple 8. This is 24. This should be 17 more than 7. So go, 24 - 17. And whaddya know - it's 7!

4 0
3 years ago
1. How many degrees is x<br> .x<br> 41<br> 82<br> 20.5<br> o<br> 41<br> О<br> 10
Alja [10]

Answer:

Option (1)

Step-by-step explanation:

By the inscribed angle theorem inside a circle,

"Measure of an inscribed angle is half the measure of the intercepted arc"

\frac{1}{2}[m(arc AB)] = m(∠ABC)

m(arc AB) = 2[m(∠ABC)]

x = 2(41°)

x = 82°

Option (1) is the correct option.

5 0
3 years ago
Katya treated everyone in theater to a pizza party. She bought 12 pizzas and six 2-liters of soda. The bill was $137.64 (before
sweet-ann [11.9K]

let the price of pizza and soda( per 2 litre bottle) be x and y

from 1st condition

12x+2y=137.6.....(1)

from 2nd condition

x+y =11.95.......(2)

multiply eq. (2) by 2

2x+2y=23.9.....(3)

subtracting (1) and (3)

12x+2y=137.6

2x+2y= 23.9

10x = 113.7

x=113.7/10

x=11.37

2(11.37)+2y=23.9

22.74+2y=23.9

2y=23.9-22.7

2y=1.2

y=0.6

So the prices of  the pizza and soda are 11.37 and 0.6 dollars.

4 0
3 years ago
the volume of cube A is 216 cubic inches. the length of each edge in cube B is 2 inches longer than the length of each edge in c
Aleonysh [2.5K]
If the side lengths of B are 2x as long as the side lengths of A then the volume of B should be the volume of A^2
216^2=46,656
46,656-216=46,440

This can be more easily displayed with smaller numbers

If cube X were 2*2*2 then the volume would be 8
If cube Y were 4*4*4 then the volume would be 64
8(volume of cube X)^2=64(volume of cube Y)
7 0
4 years ago
Given A(-3, 6) and B(0, 6), what are the coordinates of point P that lies on segment AB, such that AP:PB = 2:1? A: (2, -2) B: (-
DerKrebs [107]

Answer:

(-1 1/2, 6)

Step-by-step explanation:

The mid point between A(-3,6) and B(0,6) represents the coordinates of point P, which is (x,y)

Hence,the coordinates, that is, AP: x = (-3 + 0)/2 = -3/2 = -1 1/2

also, BP: y = (6 + 6)/2 = 6

Therefore, the coordinates of point P = ( -1 1/2, 6)  

7 0
3 years ago
Other questions:
  • An employee's hourly raise went up from $10 per hour to $12 per hour. What is the rate of increase?
    8·2 answers
  • Multiply using distributive property.<br><br> (2m-5)(3m+8)<br><br> PLEASE HELP!!! ASAP!!!
    5·2 answers
  • One CD player is 3 times as much as another. Together the two CD players would be $320. What is the price of the more expensive
    11·1 answer
  • Drag each expression to show whether it is equivalent to −2.6x−(−5.9x), −2.6x+(−5.9x), or neither. −2.6x−5.9x 5.9x+(−2.6x) 5.9x−
    9·2 answers
  • 30 POINTS NO CAP PLEASE HELP NEED RIGHT ANSWER
    6·2 answers
  • If a rectangle A has sides are three times the length of those rectangle B, how do the areas of the two rectangles compare?
    11·1 answer
  • The variables x and y vary directly. Use the values to find the constant of proportionality, k. Then write an equation that rela
    9·1 answer
  • Helppppppppppppppppppppppppppp
    11·2 answers
  • The length of a spring varies directly with the mass of an object that is attached to it. When a 30-gram object is attached, the
    6·1 answer
  • PLEASE ASAP: The tennis club has 5 new members each member buys a racet and a tube of balls. If 6 racket cost $186.00 and 6 tube
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!