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Lorico [155]
4 years ago
8

mark just bought a new vacuum cleaner for $220. he used a 30% off coupon and then paid 5.1% sales tax. what was his final cost?

Mathematics
1 answer:
MissTica4 years ago
8 0

Answer: $161.85

Step-by-step explanation: $220 is the original price.  you want to first deduct the 30% tax.  Find out the 30% tax by multiplying 220 x .30 = 66.  So deduct the $66 from $220 to get $154.  That is the price.  You will need to add on the 5.1% tax.  So to get the tax you multiply $154 by .051 to get $7.854.  Add that to the $154 sales price to get a total of $161.854.  But since money, you can't have a portion of a cent so you round the 4 down

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Alright, lets get started.

experiment yields the following data: minute 1: 65 breaths; minute 2: 73 breaths; minute 5: 62 breaths

Total number of breaths = 65+73+62 = 200

Total minutes observes = 3 minutes

So, average breaths per minute will be = \frac{200}{3}=66.67

So, the average number of breaths that a fish takes per minute is 66.67.  :    Answer

Hope it will help :)



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Please answer this question now
liubo4ka [24]

Answer:

541.67m²

Step-by-step explanation:

Step 1

We find the third angle

Sum of angles in a triangle = 180°

Third angle = Angle V = 180° - (63 + 50)°

= 180° - 113°

Angle V = 67°

Step 2

Find the sides x and v

We find these sides using the sine rule

Sine rule or Rule of Sines =

a/ sin A = b/ Sin B

Hence for triangle VWX

v/ sin V = w/ sin W = x / sin X

We have the following values

Angle X = 50°

Angle W = 63°

Angle V = 67°

We are given side w = 37m

Finding side v

v/ sin V = w/ sin W

v/ sin 67 = 37/sin 63

Cross Multiply

sin 67 × 37 = v × sin 63

v = sin 67 × 37/sin 63

v = 38.22495m

Finding side x

x / sin X= w/ sin W

x/ sin 50 = 37/sin 63

Cross Multiply

sin 50 × 37 = v × sin 63

x = sin 50 × 37/sin 63

x = 31.81082m

To find the area of triangle VWX

We use heron formula

= √s(s - v) (s - w) (s - x)

Where S = v + w + x/ 2

s = (38.22 + 37 + 31.81)/2

s = 53.515

Area of the triangle = √53.515× (53.515 - 38.22) × (53.515 - 37 ) × (53.515 - 31.81)

Area of the triangle = √293402.209

Area of the triangle = 541.66614164081m²

Approximately to the nearest tenth = 541.67m²

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