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zvonat [6]
1 year ago
11

A group of friends goes out to lunch. The total bill, excluding tax, is $22. If tax on the meal is 6% and if a 20% tip is left o

n the $22 total bill, then the total amount paid for the meal is $​
Mathematics
1 answer:
TiliK225 [7]1 year ago
5 0

Answer:

27.72

Step-by-step explanation:

Sorry about before i made a slight mistake

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En un triangulo ABC, el angulo B mide 64° y el angulo C mide 72°. La bisectriz interior CD corta a la altura BH y a la bisectriz
nadezda [96]

Answer:

The difference between the greatest and the smallest angle of the triangle PBQ is 98°.

Step-by-step explanation:

The question is:

In a triangle ABC, angle B measures 64 ° and angle C measures 72°. The inner bisector CD intersects the height BH and the bisector BM at P and Q respectively. Find the difference between the greatest and the smallest angle of the triangle PBQ.

Solution:

Consider the triangle ABC.

The measure of angle A is:

angle A + angle B + angle C = 180°

angle A = 180° - angle B - angle C

             = 180° - 72° - 64°

             = 44°  

It is provided that CD and BM are bisectors.

That:

angle BCP = angle PCH = 36°

angle CBQ = angle QBD = 32°

angle BHC = 90°

Compute the measure of angle HBC as follows:

angle HBC = 180° - angle BHC + angle BCH

                  = 180° - 90° - 72°

                  = 18°

Compute the measure of angle BPC as follows:

angle BPC = 180° - angle PCB + angle CBP

                  = 180° - 18° - 36°

                  = 126°

Then the measure of angle BPQ will be:

angle BPQ = 180° - angle BPC

                  = 180° - 126°

angle BPQ = 54°

Compute the measure of angle PBQ as follows:

angle PBQ = angle B - angle QBD - angle HBC

                  = 64° - 32° - 18°

angle PBQ = 14°

Compute the measure of angle BQP as follows:

angle BQP = 180° - angle PBQ - angle BPQ

                  = 180° - 14° - 54°  

angle BQP = 112°

So, the greatest and the smallest angle of the triangle PBQ are:

angle BQP = 112°

angle PBQ = 14°

Compute the difference:

<em>d</em> = angle BQP - angle PBQ

  = 112° - 14°

  = 98°

Thus, the difference between the greatest and the smallest angle of the triangle PBQ is 98°.

4 0
3 years ago
If F(x)=x^3-2x^2, which expression is equivalent to f(I) -2+i,-2-i,2+i,2-i
Romashka-Z-Leto [24]

Hello from MrBillDoesMath!

Answer:

2 - i

Discussion:

Evaluate F(x) = x^3 - 2 x^2 when x = i.

i^2 = -1 for i^3 = i ( i^2) = i (-1) = -i

So F(i) =  (i)^3 - 2 (i)^2                      

          =   -i     - 2(-1)

          = -i      +  2

          =  2      -  i


which is the last answer shown


Thank you,

MrB

6 0
3 years ago
A triangle is inscribed in a rectangle as shown below what is the area of the shaped region
alekssr [168]

Answer:

Step-by-step explanation:

area of rectangle=11×5=55 cm²

area of triangle=1/2×5×3=15/2=7.5 cm²

area of shaded region=55-7.5=47.5 cm²

6 0
3 years ago
The volume of a rectangular prism is 2,058 cm squared 3. The length of the prism is three times the width. The height is 14cm. F
Alborosie

Answer:

length is 21 cm

breadth is 7 cm

3 0
3 years ago
Solve the problem. Make sure your answer is in simplest form and improper fractions are expressed as mixed numbers. A packer fil
postnew [5]
Easy! Just multiply 7 1/3 by 8 which leaves you with 58 2/3. Now, that 1/4 is 1/4 of an hour. If you can fill 7 1/3 boxes in 1 hour, how many can you fill in 1/4? 7 1/3 divided by 1/4 is 29 1/3. Add them together. 81 boxes. 
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3 years ago
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