Using sin law;
sin A/ a = sinB/ b
where A = C or 90 degrees; a = 21
B = ? , b = 8
solving for b;
sin(90) / 21 = sin(B) / 8 ; B = 22.39 degrees
Total angle of triangle = 180
180 - 90 - 22.39 = x
x = 67.607 degrees
Answer: Use a bar or a number line. Try my example with -6.
Step-by-step explanation: Example: x + 2 > 12
Subtract 2 from both sides:
x + 2 − 2 > 12 − 2
Simplify:
x > 10
Solved^
Answer:
<h3> The true statement is the first:</h3><h2>
Measure of angle A = 20 degrees</h2>
Step-by-step explanation:
The sum of the measure of the interior angles in a triangle is 180°
m∠A + m∠B + m∠C = 180°
(2x)° + (5x)° + (11x)° = 180°
(18x)° = 180°
x = 10
A = (2×10)° = 20° {<u>the first statement is true}</u>
B = (5×10)° = 50° {the second statement is false}
C = (11×10)° = 110°
m∠A + m∠B = 20° + 50° = 70° ≠ 90° {the third statement is false}
m∠A + m∠C = 20° + 110° = 130° ≠ 120° {the fourth statement is false}
Answer:
n=3
Step-by-step explanation:
So the question we are to solve is to be solved by collecting like terms and by division
So let's solve the question
-5n+8=-7
So let's solve
-5n+8=-7
Substrate 8 from both sides
-5n=-15
So let's make n the subject of formula by dividing both sides by -5
n=3
Therefore the final answer for the given question is 3
The area of the circular shaped rug would be 451.931, let me explain to you how I got this calculation.
First thing you have to do is know the formula to find the area of a circle. The formula is A=pie x Rsquared, but when you look at the information provided, you dont have the radius, so you have to find it yourself.
You probably noticed that since diameter is twice the radius, the proportion between circumference and diameter is equal to π: <span>C/D = 2πR / 2R = π is the formula for the convertion of circumfrence to diameter.
</span>
Once you find the diameter, which should be rounded to 23.98, you will need to divide it by 2 for the radius which should give you approximatly 11.99.
Finally, you do the regular formula to find area which is A=pie x Rsquared. so you do 3.14 x (11.99 x 11.99)=451.931in.
