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Lady_Fox [76]
3 years ago
8

Find a ⋅ b. a = <5, 2>, b = <4, 5>

Mathematics
1 answer:
cestrela7 [59]3 years ago
6 0

Answer:

  30

Step-by-step explanation:

For a = <xa, ya> and b = <xb, yb>, the dot product is the sum of products ...

  a·b = (xa)(xb) + (ya)(yb)

Substituting the given information, you have ...

  a·b = 5·4 + 2·5 = 20 + 10

  a·b = 30

_____

Some graphing calculators can do such math. There are also dot product calculators available on the Internet. If you have quite a few of these to calculate, you can put the appropriate formula into a spreadsheet.

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Arizbeth spent $20.08 to put 8 gallons of gas in her car. How much would 13 gallons have cost?
Misha Larkins [42]

Answer:

32.63

Step-by-step explanation:

since arizbeth is spending $20.08 to put 8 gallons in her car the first step is to divide 20.08 by 8.Then since you have per gallon you have to figure out what 13 gallons is so you multiply per gallon by 13

8 0
3 years ago
Find the area of the shaded region. With steps
Roman55 [17]

Answer: the area of the shaded region is 72.96 ft²

Step-by-step explanation:

The formula for determining the area of a circle is expressed as

Area = πr²

Where

r represents the radius of the circle.

π is a constant whose value is 3.14

From the information given,

Diameter of circle = 16 feet

Radius = diameter/2 = 16/2 = 8 feet

Area of circle = 3.14 × 8² = 200.96ft²

The sides of the square are equal. To determine the length of each side of the square, L, we would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

Therefore,

16² = L² + L²

256 = 2L²

L² = 256/2 = 128

L = √128 ft

Area of the square is

L² = (√128)²

Area = 128 ft²

Area of shaded region is

200.96 - 128 = 72.96 ft²

4 0
3 years ago
24 feet in 10 seconds​
shtirl [24]

Answer:Divide your speed in feet per minute by 60

Step-by-step explanation:

6 0
1 year ago
Does anyone know 1/4 x ? = -2?
SSSSS [86.1K]

Answer:

-8

Step-by-step explanation:

1/4 x = -2

You want the value of x. x is being multiplied by 1/4. To get x alone on the left side, you need to divide both sides by 1/4. Dividing by 1/4 is the same as multiplying by 4.

Multiply both sides of the equation by 4.

4 * 1/4 x = -2 * 4

4 * 1/4 = 1, so on the left side you get 1x which is just x.

x = 8

Answer: -8

8 0
3 years ago
Read 2 more answers
16.5 + 4.73 show work on how you got the answer
White raven [17]
16.5+4.73= 21.23 it’s basically regular adding just with decimal
8 0
3 years ago
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