Answer:
This is important because, the first few numbers might seem to follow a pattern but subsequent numbers might reveal a change in the rule.
Step-by-step explanation:
When studying patterns it is important to evaluate all the figures holistically instead of drawing conclusions based on just the first few numbers because there might be a change in what we felt was obvious on close observance of all the numbers. For example, observe the pattern;
2,4,6, 10, 14, 18, 20, 22, 24
The first two numbers show the addition of two. If a person decides to add 2 to all the figures, he would be wrong because after the first three figures, he would have to add 4 to the numbers.
Answer:
58°
Step-by-step explanation:
A right triangle can be drawn to model the geometry of the problem. The hypotenuse of the triangle is the length of the string, 100 ft. The side opposite the angle is the height of the kite above the ground, 85 ft.
The mnemonic SOH CAH TOA reminds you of the relationship between sides and angles.
Sin = Opposite/Hypotenuse
sin(α) = (85 ft)/(100 ft) = 0.85
The angle whose sine is 0.85 is found using the arcsine (inverse sine) function:
α = arcsin(0.85) ≈ 58.2°
The angle of elevation is about 58°.
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When using your calculator to find the values of inverse trig functions, make sure it is in <em>degrees</em> mode. Otherwise, you're likely to get the answer in radians (≈ 1.01599 radians).
Answer:
C.
Step-by-step explanation:
WE need to convert the given equations into the standard form
(x - a)^2 + (y - b)^2 = r^2 where r = the radius.
x^2 + y^2 + 12x - 20y+ 132 = 0
(x + 6)^2 - 36 + (y - 10)^2 - 100 = -132
(x + 6)^2 + (y - 10)^2 = -132 + 36 + 100 = 4
giving a radius of 2
x^2 + y^2 + 12x - 20y + 55 = 0
will give a right hand side of -55 + 36 + 100 = 81 giving radius 9.
x^2 + y^2 - 12x+ 20y + 127 = 0
- gives right hand side of -127 + 36 + 100 = 9 giving a radius of 3.
<h3>
Answer: 4 dollars and 17 cents</h3><h3>This is the same as saying $4.17</h3>
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Explanation:
15+35.50 = 50.50 dollars is the total before tax is applied.
Take 8.25% of this to get
0.0825*50.50 = 4.16625
and this rounds to 4.17, which is the amount of sales tax charged.
$4.17 = 4 dollars + 17 cents
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Extra info:
The grand total will be 50.50+4.17 = 54.67
Another way to get the grand total is to multiply 1.0825 by the previous subtotal (50.50) getting 50.50*1.0825 = 54.66625 and that rounds to 54.67
The multiplier 1.0825 effectively means "increase by 8.25%"
