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IrinaK [193]
3 years ago
8

Estimate a 25% tip on a bill of $68.28 by first rounding the bill amount to the nearest ten dollars.

Mathematics
1 answer:
BARSIC [14]3 years ago
6 0

Answer:

A 25% tip on a bill of $68.28 rounded to $70 would be <u>$17.50</u>

STEPS

<em>Step 1: </em>Round $68.28 to $70.00

<em>Step 2:</em> convert 25% to a decimal-------- .25

<em>Step 3:</em> multipy .25 x 70= 17.5

Let me know if you need any other help!!

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What does X equal? geometry
Otrada [13]

Answer:

x= 77

Step-by-step explanation:

The angle at 122 degrees is a linear pair with the isosceles triangle, meaning it makes 180 degrees.

180-122= 58 degrees

Since it is an isosceles triangle, the two angles at the bottom are both 58 degrees.

Let's use this info to find the degree at the top.

58+58= 116

There are 180 degrees in a triangle, so subtract 116 degrees we have so far to find the last angle.

180-116= 64 degrees

And since the angle at the top makes 90 degrees, we can subtract 64 degrees to find the smaller angle to the right of the 64 degree angle.

90-64= 26 degrees

And since a triangle has a total of 180 degrees, subtract the 26 degrees from 180.

180-26= 154 degrees.

And since it is an isosceles triangle, divide the remaining 154 degrees by 2 because they are both equal.

154/2= 77 degrees.

Your answer is 77 degrees.

3 0
2 years ago
Write 408,032,009 in expanded form
deff fn [24]
Expanded form means breaking the number into addition.



408,032,009 = 400,000,000 + 8,000,000 + 30,000 + 2,000 + 9
5 0
3 years ago
Read 2 more answers
If sin phi sin theta = 0.2 and sin phi cos theta = -0.3 and sin phi &gt; 0 what is theta ? Repeat for sin phi &lt; 0.
Rina8888 [55]

Answer:

θ = -33.69°

Step-by-step explanation:

For Φ>0 and Φ<0  (in general Φ≠nπ  where n is an integer), sin(Φ) ≠ 0

Dividing both equations:

\frac{sin(\phi) sin(\theta)}{sin(\phi)cos(\theta)} = tan(\theta) = 0.2/(-0.3)=-2/3\\

Therefore:

arctan(θ) = -2/3

  θ = -33.69°

The answer does not depend on the sign of Φ, in fact we just need that the sine does not become zero, which occurs when Φ is equal to an integer times π (radians) or 180 (degrees)

Have a nice day!

3 0
3 years ago
Θ is an acute angle. Find the value of θ in radians.
babunello [35]

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7 0
3 years ago
Given: ∆ABC, AB = CB
SCORPION-xisa [38]
Angle ABC = 48
Angle PBC = 24
Angle A + Angle C = 180-24.  Angle A = Angle C
Angle C = 132/2 = 66
Angle PCD = 66-24 = 42 degrees
4 0
3 years ago
Read 2 more answers
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