Answer:
x= ~8.69
solve with law of sine:
law of sine essentially states that
(side length)/(sine of opposite angle) are in the same ratio as another (side length)/ (sine of its opposite angle)
right angles =90 degrees
line QS is opposite to angle R
so
QS/ (sin 90)
9/ (sin 90)
line RS is opposite to angle Q
measure of angle Q= 75 degrees
RS/ (sin 75)
x/ sin (75) RS is x
and these ratios are equal according to law of sine
9/ (sin 90)= x/ sin (75)
sin 90=1
sin 75 = approx ~0.9659
4th decimal place for accuracy, will round more later
9/ (sin 90)= x/ sin (75)
9/ 1= x/ 0.9659
9= x/ 0.9659
x=8.6931
round to nearest tenth
8.6931
~8.69
hope this helps !!
Answer:
1 ballon will be leftover.
Step-by-step explanation:
53 divided by 4 will be 13 and 13 times 4 is 52 sooo 53 minus 52 is 1 balloon left over. the sad lonely balloon...
Answer:
Step-by-step explanation:
The pie chart will show that Claire spent about 33.3% of her time sleeping.
By applying algebraic handling and the concept of polynomials, we conclude that the <em>quadratic</em> equation 6 · x² + 18 · x = 0 has two roots: 0, - 3.
<h3>How to solve a quadratic equation</h3>
In this question we must apply <em>algebraic</em> rules to find the roots of a <em>quadratic</em> equation, the roots are the values of the equation such that is equal to zero. Now we present the complete procedure:
6 · x² + 18 · x = 0
6 · x · (x + 3) = 0
x = 0 ∨ x = - 3
By applying algebraic handling and the concept of polynomials, we conclude that the <em>quadratic</em> equation 6 · x² + 18 · x = 0 has two roots: 0, - 3.
To learn more on quadratic equations: brainly.com/question/17177510
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Answer:
D) x^2+2
Step-by-step explanation:
(2x^2+2x+3)-(x^2+2x+1)
2x^2-x^2+2x-2x+3-1
x^2+3-1
x^2+2