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noname [10]
3 years ago
9

Gabriela has dinner at a cafe and the cost of her meal is $45.00.Because of the service, she wants to leave 15% tip.

Mathematics
1 answer:
goblinko [34]3 years ago
7 0

Answer: $51.75

Step-by-step explanation:

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A student is given that point P(a, b) lies on the terminal ray of angle Theta, which is between StartFraction 3 pi Over 2 EndFra
Harman [31]

Answer:

<em>A.</em>

<em>The student made an error in step 3 because a is positive in Quadrant IV; therefore, </em>

<em />cos\theta = \frac{a\sqrt{a^2 + b^2}}{a^2 + b^2}

Step-by-step explanation:

Given

P\ (a,b)

r = \± \sqrt{(a)^2 + (b)^2}

cos\theta = \frac{-a}{\sqrt{a^2 + b^2}} = -\frac{\sqrt{a^2 + b^2}}{a^2 + b^2}

Required

Where and which error did the student make

Given that the angle is in the 4th quadrant;

The value of r is positive, a is positive but b is negative;

Hence;

r = \sqrt{(a)^2 + (b)^2}

Since a belongs to the x axis and b belongs to the y axis;

cos\theta is calculated as thus

cos\theta = \frac{a}{r}

Substitute r = \sqrt{(a)^2 + (b)^2}

cos\theta = \frac{a}{\sqrt{(a)^2 + (b)^2}}

cos\theta = \frac{a}{\sqrt{a^2 + b^2}}

Rationalize the denominator

cos\theta = \frac{a}{\sqrt{a^2 + b^2}} * \frac{\sqrt{a^2 + b^2}}{\sqrt{a^2 + b^2}}

cos\theta = \frac{a\sqrt{a^2 + b^2}}{a^2 + b^2}

So, from the list of given options;

<em>The student's mistake is that a is positive in quadrant iv and his error is in step 3</em>

3 0
3 years ago
An icecream shop charges $3.39 for a dish of ice cream. A costomer can also order toppings for $0.59 each. If x represents the n
Leya [2.2K]

Answer:

3.39 + 0.59x

Step-by-step explanation:

Cost of a dish of ice cream = $3.39

Cost of toppings = $0.59 each

x = number of toppings

which expression can be used to determine the total charge in dollars, for a dish of ice cream with x toppings

Total charge for a dish of ice cream with x toppings = 3.39 + 0.59x

The expression is 3.39 + 0.59x

5 0
3 years ago
Can anyone tell me if this is right
Rashid [163]

Answer:

yes it is correct

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
How many 2 1/2 acre plots can be made out of a 35-acre field
Hoochie [10]

35 divided by 2 1/2

change 2 1/2 to an improper fraction

2 1/2 = 5/2

35 divided by 5/2

copy dot flip

35 * 2/5

70/5

14  

you can make 14 plots

4 0
3 years ago
The width of the rectangle is 75% of its length, the length is 24, what's the area?
lapo4ka [179]
S = a * b  where a - <span>length and b - width
a = 24
b = 0.75 * a
S = 24 * 24 * 0.75 = 432</span>
7 0
3 years ago
Read 2 more answers
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