Answer:
Polygon Name
Number of Interior Angles
Sum of Interior Angles = (n-2) x 180°
Triangle
3
180°
Quadrilateral
4
360°
<u><em> Pentagon </em></u>
<u><em> 5 </em></u>
<u><em> 540° </em></u>
Hexagon
6
720°
Step-by-step explanation:
Im not sure on how you went about wording your questions but the answer for
<span>A circular piece of glass has a radius of 0.8 meters. The glass sells for $4.60 per m². What is the total cost of the circular piece of glass? Use 3.14 for pi. $2.01 $9.24 $23.11
is B.$9.24
This is all i could get from what you wrote.
</span>
Answer:
The bottom one ....see below
Step-by-step explanation:
Using reference angle of pi/8 and half angle trig identity:
cos ( angle/2) = -sqrt (1 + cos (angle) /2)
cos ( pi/4 / 2) = - sqrt (1+ cos ( pi/4)/2)
<u> cos (pi/8)</u> = - sqrt (1 + sqrt (2) / 2)
= - sqrt (1 + sqrt 2) / sqrt 2 rationalize the denominator
= - sqrt ( sqrt 2 + 2) / 2
re arrange to
- sqrt ( 2 + sqrt2) / 2 the fourth answer
The values of x that will give the quadratic equation no real number solutions are -5 and 9
<h3>What are real roots of a quadratic equation?</h3>
Real roots of a quadratic equation are values of x, whose numbers can be represented on a number line.
Analysis:
We have -
+3x +c = 0
- 4ac is called the discriminant of a quadratic equation.
if - 4ac < 0, then the quadratic equation has no real root.
where a = -1, b = 3 c = c
-4(-1)c < 0
9 + 4c < 0
4c < -9
c < -9/2
Which means values lower than -9/2 would give the solution no real root.
From, the options, only -5 would give no real solution, since it is lower than -9/2.
Learn more about real roots of a quadratic equation: brainly.com/question/7784687
#SPJ1
Answer:
80
Step-by-step explanation:
So, let's say the total number of pizzas is x
If 15% of x, the total, is 12, then x * 0.15 must = 12
Use this to make an equation
12 = 0.15x
Divide both sides by 0.15 to get x on its own
12 / 0.15 = x0.15 / 0.15
80 = x
80 pizzas were sold
