Answer:61.8°
Step-by-step explanation:
Length of arc=(theta)/360 x 2 x π x radius
9.7=(theta)/360 x 2 x 3.14 x 9
9.7=56.52(theta)/360
cross multiply
9.7 x 360=56.52(theta)
3492=56.52(theta)
Divide both sides by 56.52
3492/56.52=56.52(theta)/56.52
61.8=theta
theta=61.8°
Answer:
20
Step-by-step explanation:
40 - 15 = 25
25/1.25=20
x= hot dogs
y= soda
Total sold
1 x + 1 y = 87 .............1
2 x 0.50 y = 78.50 .............2
Eliminate y
multiply (1)by -0.50
Multiply (2) by 1.00
-0.50 x -0.50 y = -43.50
2 x + 0.50 y = 78.50
Add the two equations
1 x = 35.00
/ 1
x = 35.00
plug value of x in (1)
1 x + 1 y = 87
35 + y = 87
y = 87 -35
y = 52
y = 52.00
x= 35 hot dogs
y= 52 soda
Option B
5 hundredths is not the way to express 0.50
<h3><u>Solution:</u></h3>
Given that Three of the choices are ways to express 0.50
To find: wrong option
Let us first write 0.50 in different ways
<h3><em><u>
To convert a Decimal to a Fraction follow these steps:
</u></em></h3>
Step 1: Write down the decimal divided by 1, like this: decimal 1.
Step 2: Multiply both top and bottom by 10 for every number after the decimal point. ...
Step 3: Simplify (or reduce) the fraction.
means 50 hundredths
<h3>Therefore option D is correct</h3>
On simplifying we can write,
means one half
<h3>Therefore option A (one half) is correct</h3>
Similarly, \frac{5}{10} means 5 tenths
<h3>Therefore Option C is also correct</h3>
Thus the wrong option is B
<em><u>Justification:</u></em>
5 hundredths can be written as:
Therefore option B is wrong