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densk [106]
4 years ago
13

A ride in a taxi cab costs $2.50 for the pick-up charge and $0.50 for every mile, m, after that. Which equation can be used to f

ind the cost, c, of a taxi cab rid?
Mathematics
1 answer:
Nata [24]4 years ago
8 0
The equation is 0.5m+2.50=c
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Find the perimeter and area of each figure.​
Sergio039 [100]

Answer:

  1. A = 2x; P = 4x+2. A = 4; P = 10.

  2. A = y² +2; P = 4y +2. A = 27; P = 22.

Step-by-step explanation:

1. The area is the sum of the marked areas of each of the tiles:

  A = x + x

  A = 2x

__

The perimeter is the sum of the outside edge dimensions of the tiles. Working clockwise from the upper left corner, the sum of exposed edge lengths is ...

  P = 1 + (x-1) + x + 1 + (x+1) + x

  P = 4x +2

__

When x=2, these values become ...

  A = 2·2 = 4 . . . . square units

  P = 4·2+2 = 10 . . . . units

_____

2. Again, the area is the sum of the marked areas:

  A = y² + 1 + 1

  A = y² +2

__

The edge dimension of the square y² tile is presumed to be y, so the perimeter (starting from upper left) is ...

  P = y +(y-2) +1 +2 +(y+1) +y

  P = 4y +2

__

When y=5, these values become ...

  A = 5² +2 = 27 . . . . square units

  P = 4·5 +2 = 22 . . . . units

4 0
4 years ago
The Bureau of Alcohol, Tobacco, and Firearms (BATF) has been concerned about lead levels in California wines. In a previous test
polet [3.4K]

Answer:

The sample size is  n = 1043

Step-by-step explanation:

From the question we are told that

  The lower bound of the range is a = 51

  The upper bound of the range is b =  710

    The margin of error is E = 10

Generally the standard deviation is mathematically represented as

       \sigma =  \frac{b- a}{4}

=>    \sigma =  \frac{710 - 51 }{4}

=>    \sigma = 164.75

From the question we are told the confidence level is  95% , hence the level of significance is    

      \alpha = (100 - 95 ) \%

=>   \alpha = 0.05

Generally from the normal distribution table the critical value  of  \frac{\alpha }{2} is  

   Z_{\frac{\alpha }{2} } =  1.96

Generally the sample size is mathematically represented as  

    n = [\frac{Z_{\frac{\alpha }{2} } *  \sigma }{E} ] ^2

=> n = [ 1.96  *  164.75 }{10} ] ^2

=> n = 1043

4 0
3 years ago
1. Which of the following is the same as 6 ∙ 5 ∙ 4 ∙ 3?<br> A. P(6,3) B. P(6,4) C. P(6,5) D. P(6,6)
nirvana33 [79]
I Think The answer is c I hope it helps My friend Message Me if I’m wrong and I’ll change My answer and fix it for you
5 0
3 years ago
Triangle ABC is described below. Find all possible values for B, C, and c.
aliya0001 [1]

Answer:

c = 27.9

B = 62.13°

C = 89.90°

Step-by-step explanation:

We are given the following values:

A= 121.59°, a = 27.9 cm, b = 52.6 cm

a) Finding side c

We would use Pythagoras Theorem

c² = a² + b²

c = √(a² + b²)

c = √(27.9² + 52.6²)

c = 59.54cm

≈ Approximately = 59.5cm

b) Finding B

We would be using Cosine rule to find Angle B

Cos B = a² + b² - c²/2ab

B = arc cos ( a² + c² - b²/2ac)

B = arc cos( 27.9² + 59.5² - 52.6²/ 2 × 27.9 × 59.5)

B = 62.13268°

B = 62.13°

c) Finding C

We would be using Cosine rule to find Angle C

Cos C = a² + b² - c²/2ab

C = arc cos ( a² + b² - c²/2ab)

C = arc cos( 27.9² + 52.6² - 59.5²/ 2 × 27.9 × 52.6)

C = 89.9°

4 0
4 years ago
Please help with the question below!
maks197457 [2]

(answer in big text in the end :D )

1. Calculate the SA of all the sides...

There are 5 sides in this shape. 2 sides are Triangles, and 3 are rectangles. Let's call the rectangle on the base, base rectangle, let's call the large rectangle on the right, right rectangle, and the left on on the side, left rectangle. Just so that we can identify them...

Now, first, we will calculate the Triangular parts' surface area. There is a tip in this, as we know, to calculate the area of 1 triangle, we have to use this formula... SA=\frac{1}{2} *B*H BUT! that's only for calculating 1 triangle, not 2, but we have 2 here, to use this shortcut, we will just do BxH not 1/2xBxH

Let's do it!

Base of triangle: 9.8ft

Height of triangle: 5.33ft

Now, we have to multiply these

9.8x5.33=52.234

Rounding to the nearest tenth... 52.2

Then, let's do the base rectangle

Length of rectangle: 9.8ft

Width of rectangle: 3.8ft

Now, multiply!

9.8x3.8=37.24

Rounding to the nearest tenth... 37.2

Now, let's do the Right Rectangle

Dimensions:

Length of rectangle: 8.5ft

Width of rectangle: 3.8ft

multiply...

8.5x3.8=32.3

no rounding in this, it's already rounded to the nearest tenth

Now, let's do the left rectangle...

Dimensions:

Length of rectangle: 6.2ft

Width of rectangle: 3.8ft

6.2x3.8=23.56

Rounded to nearest tenth... 23.6

2. Now that we have gotten the SA's of all of the shapes in this triangular prism, let's ADD them together to get our FINAL answer.

All the answers are: 52.2, 37.2, 32.3, and 23.6

<h2>adding them, our answer is: 145.3ft²</h2>

8 0
2 years ago
Read 2 more answers
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