<h3>The measure of third angle of triangle is 67 degrees</h3>
<em><u>Solution:</u></em>
Given that,
The support of a wood table are in the shape of a right triangle
Since it is a right angle, one of the angle must be
The measure of one of the angles is 23 degrees
To find: third angle angle
We know that,
Sum of all angles in triangle equals 180 degrees
Therefore,
Thus measure of third angle of triangle is 67 degrees
Step-by-step explanation:
<em>Since, the ratio of big stickers to small stickers are </em>5:2
Therefore,
Let, the big stickers and small stickers be 5x and 2x respectively,
Now,
- 5x+2x=140
- 5x+2x=1407x=140
- 5x+2x=1407x=140x=140/7
- 5x+2x=1407x=140x=140/7x=20
Now,
putting the value of x in 5x and 2x we get,
- Big stickers=5x=5×20=100
- Small stickers=2x=2×20=40
Answer:
29107
Step-by-step explanation:
Every next 'level', a ring of balls is added.
The ring has 6 sides of n balls, but you would then count all 6 corners double, so you have to subtract 6.
So Bₙ = Bₙ₋₁ + 6n - 6
This gives you a sequence of 1, 7, 19, 37, 61, 91, 127, 169, 217, 271, 331, ...
All the way up to 29107 at 100 balls.
Answer:
hello attached below is the sketch of the missing diagram
a) h = 2
b) cos^-1 ( 2 ) = ∞
c ) θ ≈ 215°
Step-by-step explanation:
a) The length ( h ) to the right of the circles center
= h^2 = ( -1.15)^2 + ( -1.64)^2
∴ h = 2
b) cos^-1 ( 2 ) = ∞
c) The value gotten from b does not give us the value of θ
AB = - 1.64
BC = -1.15
AC = 2
sin^-1 ( - 1.64 / -1.15 )
cos^1 ( -1.15 / 2 ) gives us the value of θ
tan^-1 ( -1.64 / -1.15 )
∴ θ ≈ 215°
We are given with two equations 2x − 3y = −1 and <span>11x − 9y = −13. The problem says that when the first equation is multiplied by -3 which results to -6x + 9y = 3, the sum of the resulting equation and the second one is equal to 5x = -10. We verify this: -6x + 11x = 5x while -9 y and 9 y cancels out. 3+-13 equals -10. Hence the total is really 5x = - 10.</span>