Answer:
476 balloons
Step-by-step explanation:
4 groups x 100 = 400 balloons
7 groups x 10 = 70 balloons
+6 balloons (leftover)
400+70+6= 476 balloons total for her party
The correct answer is option C which is the angle LMO is 50°
<h3>What is trigonometry?</h3>
The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle termed trigonometry.
Given that:-
∠O = 70°
∠L = 60°
∠LMO =?
As we know that the sum of the three angles are 180 degree applying this relation:-
∠LOM + ∠OLM + ∠LMO = 180
70 + 60 + ∠LMO = 180
∠LMO = 180 - 70 - 60 = 50
Therefore the correct answer is option C which is the angle LMO is 50°
To know more about Trigonometry follow
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Format of Quadratic Equation: y = ax2 + bx + c
Given Quadratic Equation: y = 2x2 - 3x + 3
Coefficient Variable Values: a = 2 and b = -3 and c = 3
Axis of Symmetry: x = -b/2a = -(-3)/2(2) so answer is x = 3/4
Vertex: x value is axis of symmetry (3/4) and y value is calculated substituting 3/4 for x in original equation: y = 2(3/4)2 - 3(3/4) + 3 = 2(9/16) - 9/4 + 3 = 9/8 - 9/4 + 3 = 9/8 - 18/8 + 24/8 = 15/8,
so answer is (3/4,15/8)
x intercepts (solve using quadratic formula): x = (-b plus or minus sqrt(b2 - 4ac)/2a, so plugging in coefficient values for a and b and c, we get x = [-(-3) plus or minus sqrt((-3)2 - 4(2)(-3)]/2(2), which results in x = (3 + sqrt(33))/4 or (3 - sqrt(33))/4 and answers to nearest tenth are x = (3 + 5.7) / 4 = 2.2
or x = (3 - 5.7) / 4 = -0.7
y intercept is calculated by substituting zero for x into original equation: y = 2x2 - 3x + 3, so y-intercept is 3.
Domain is range is from calculated negative x intercept (-0.7) to calculated positive x intercept (2.2) and is written as (-0.7,2.2)
Range is from calculated y-intercept to positive infinity, since parabola opens up due to positive x2 coefficient value, so range is written as (3,positive infinity). Note: infinity symbol is sideways 8.
9514 1404 393
Answer:
x = 30
Step-by-step explanation:
In an arithmetic sequence, any given term is the average of the two terms that come before and after. The middle term of this sequence must be ...
2sin(3x) = (-11 +15)/2
sin(3x) = 1 . . . . . . . . . . simplify and divide by 2
Then the value of 3x must be 90°, so ...
x = 90/3 = 30
There is one value of x in the interval [0, 90] that makes this sequence arithmetic: x = 30.
<u><em>Hi there! </em></u>
<u><em>Answer:</em></u>
<u><em>X>1</em></u>
<u><em>*The answer must have a positive sign and greater than symbol.*</em></u>
Step-by-step explanation:
First, you subtract by 3 from both sides of an equation.

Then, you subtract by the numbers from left to right.


You can also divide by 2 from both sides of an equation.

Finally, you divide by the numbers from left to right.

<em><u>Final answer is x>1</u></em>
I hope this helps you!
Have a nice day! :)
:D
-Charlie
Thank you so much! :)
:D