Answer:
1,000,000
Step-by-step explanation: I just know
Answer:
136degrees
Step-by-step explanation:
The sum of the two angles of the parallelogram is 224 °. Calculations of parallelogram plateau angles?
Note that the sum of interior angle of a parallelogram is 360 degrees
If the sum of two angles of the parallelogram is 224 °, the remaining angle will be expressed as:
Other angles = 360-224
Other angles = 136degrees
Hence the sum of other angles of the parallelogram will be 136degrees
Answer:
a = 242 adult and c = 52 children
Step-by-step explanation:
Solving as a system of equations.
a = adult
c = children
The adult and the children equal 294 people
a + c = 294
adult cost is 2.25 per adult
Total amount of adult is 2.25a because the number of adult are not given.
children cost is 1.75 per children
Total amount children is 1.75c because the number of children are not given
Total receipts $635.50.
a + c = 294 <em>multiply by -1.75</em> -1.75a - 1.75c = - 514.50
2.25a + 1.75c = 635.50 <em>does not change </em>2.25a + 1.75c = 635.50
<em>Add these equations together</em>
-1.75a - 1.75c = - 514.50
<u><em> </em></u><u>2.25a + 1.75c = 635.50 </u>
<em> </em> .50a = 121.00
a = 121.00/.50a
a = 242 adult
a + c = 294
242 + c = 294
c = 294 - 242
c = 52 children
Check: $2.25(242) + $1.75( 52) = $635 .50
$544.50 + $91.00 = $635.50
$635.50 = $635.50
Answer: ![BC=14.8](https://tex.z-dn.net/?f=BC%3D14.8)
Step-by-step explanation:
By definition, an Isosceles triangle has two equal sides and its opposite angles are congruent.
Observe the figure attached, where the isosceles triangle is divided into two equal right triangles.
So, in this case you need to use the following Trigonometric Identity:
![sin\alpha =\frac{opposite}{hypotenuse}](https://tex.z-dn.net/?f=sin%5Calpha%20%3D%5Cfrac%7Bopposite%7D%7Bhypotenuse%7D)
In this case, you can identify that:
![\alpha =\angle BAD=\angle CAD=18\°\\\\opposite=BD=CD=x\\\\hypotenuse=AB=AC=24](https://tex.z-dn.net/?f=%5Calpha%20%3D%5Cangle%20BAD%3D%5Cangle%20CAD%3D18%5C%C2%B0%5C%5C%5C%5Copposite%3DBD%3DCD%3Dx%5C%5C%5C%5Chypotenuse%3DAB%3DAC%3D24)
Substituting values, and solving for "x", you get:
![sin(18\°)=\frac{x}{24}\\\\24*sin(18\°)=x\\\\x=7.416](https://tex.z-dn.net/?f=sin%2818%5C%C2%B0%29%3D%5Cfrac%7Bx%7D%7B24%7D%5C%5C%5C%5C24%2Asin%2818%5C%C2%B0%29%3Dx%5C%5C%5C%5Cx%3D7.416)
Therefore, the length of BC rounded to nearest tenth, is:
![BC=2(7.416)=14.8](https://tex.z-dn.net/?f=BC%3D2%287.416%29%3D14.8)
Answer:
Step-by-step explanation:
perimeter of rectangle = 2 ( l+ b )
let width = w length = 3w
according to formula
104 = 2 ( 3w + w )
104 = 2 ( 4 w )
104 = 8 w
104 /8 =w
13 =w
l = 3w
l = 3 ( 13) l = 39 hoping this will be helpful, have amazing day