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Fiesta28 [93]
2 years ago
12

A customer left a 15% tip for a meal that cost $64. What was the total amount the customer paid for the meal and tip?

Mathematics
1 answer:
Inessa05 [86]2 years ago
4 0

Answer:

73.6

Step-by-step explanation:

64x15%=9.6

9.6+64=73.6

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Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre
Maksim231197 [3]
1) To find x we are going to use the Pythagorean equation:
 x= \sqrt{a^{2}+b^{2}  }
where 
a and b are the legs of our triangle. For our picture we can infer that a=10 and b=8, so lets replace those values in our equation to find x:
x= \sqrt{10^{2}+8^{2}}
x= \sqrt{100+64}
x= \sqrt{164}
x=12.8
We can conclude that the value of x in our triangle is 12.8

2) To find y we are going to use the trigonometric function tangent. Remember that tan(y)= \frac{opposite}{adjacent}. We know that the opposite side of our angle y is 8, and its adjacent side is 10, so lets replace those values in our tangent function to find y:
tan(y)= \frac{8}{10}
tan(y)=0.8
Since we need the measure of angle y, we are going to take inverse tangent to both sides to find it:
y=arctan(0.8)
y=38.66
We can conclude that the value of y in our triangle is 38.66°

3) Finally, to find z we are going to take advantage of two facts: the sum of the interior angles of a triangle is always 180°, and  our triangle is a right one, so one of its sides is 90°. Therefore, y+z+90=180. Since we already know the value of y, lets replace it in our equation and solve for z:
38.66+z+90=180
z+128.66=180
z=51.34
We can conclude that the measure of angle z is 51.34°


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4 0
3 years ago
Read 2 more answers
A circle has a diameter of 42 mm. What is the circumference of this circle? (use 22/7 for pi; show your work in numbers)
stellarik [79]

Answer:

132

Step-by-step explanation:

Find Radius (r)

42/2 = 21

Plug 21 into Circumference Equation

2πr (In this case, π is 22/7)

Simplify

42 (22/7)

<u>132</u>

8 0
3 years ago
Simplify 7m - 11n - n + 5m.
goblinko [34]

Answer:

The simplified form of the given expression is 12(m -n).

Step-by-step explanation:

The given expression is

7m - 11n - n + 5m

We need to simplify the given expression.

Rearrange the terms according to the variables.

7m+5m - 11n - n

On combining like terms, we get

(7m+5m)+( - 11n - n)

On simplification, we get

(12m)+( -12n)

12m -12n

Taking GCF common.

12(m -n)

Therefore the simplified form of the given expression is 12(m -n).

5 0
3 years ago
What is 5.27 × 1021 expressed in standard notation?
Strike441 [17]
The standard notation would be 5,380.67. Hope this helps!<span />
5 0
3 years ago
Read 2 more answers
7,000lbs times what would equal 3.5 tons
PSYCHO15rus [73]
7,000lbs x 1=3.5 tons. 3.5 tons is 7,000lbs.
6 0
3 years ago
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