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riadik2000 [5.3K]
3 years ago
14

Part A:

Mathematics
1 answer:
Soloha48 [4]3 years ago
4 0

Answer:

Option D

Step-by-step explanation:

A). From the graph attached,

    Arrow AB represents the RISE and arrow BC represents the RUN.

B). RUN from point A to B (Horizontal distance) = 2 units

    Rise from point A to B (Vertical distance) = -4 [Since, downwards arrow represents negative notation]

    Slope of the line segment AB = \frac{\text{Rise}}{\text{Run}}

                                                       = \frac{-4}{2}

                                                       = -2

   Therefore, slope of the line = slope of the line segment AB = -2

    Option D will be the correct option.

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A)4pi m<br><br> B)8pi m <br><br> C)16pi m <br><br> D)10pi m
Paha777 [63]
Arc length has a formula that is similar to arc measure, but arc length is expressed in inches or meters or miles, etc., whereas measure is expressed in degrees, like an angle.  The formula for each take this into account.  Since the arc length is part of the length of the outside of the circle, the formula includes the circumference for a circle.  AL= \frac{ \theta }{360} * \pi d, where theta is the degree measure of the central angle intersecting the arc you're looking for, and d is the diameter of the circle.  Our formula would look like this with the info we have: AL= \frac{30}{360}* 24 \pi which can be simplified to AL= \frac{1}{12}*24 \pi which can be simplified even further to AL=2 \pi.  And that's your answer!
7 0
3 years ago
What is the value of x? I don’t understand this please help
Monica [59]

Answer:

54

Step-by-step explanation:

A tangent line makes a right angle with the radius to the point of tangency. Hence this triangle is a right triangle, and x° is the complement of 36°:

x° = 90° -36° = 54°

The value of x is 54.

3 0
3 years ago
How would i need to do this??
lana66690 [7]
Find the numbers and place them in for the letters
4 0
3 years ago
The perimeter of a rectangular picture frame is 30 inches. The length of the frame is three less than twice the width. What are
Lera25 [3.4K]

width = 6

length= 3


30-6 = 24/4 = 6

4 0
3 years ago
a farmer notes that in a field of goats and geese there are 41 heads and 114 feet how many of each animal are there
solniwko [45]

Answer:

There are 25 geese and 16 goats

Step-by-step explanation:

Let O represent the # of goats and E the # of geese.  Remembering that goats have four feet and geese only two, and that each animal has only one head, we can write the following equations to determine O and E:

Number of heads:  41; this is the total of the # of goat heads and the # of goose heads:  O + E = 41

(4 feet per goat)O + (2 feet per goose)E = 114 (There are a total of 114 feet)

Then we solve the following system of linear equations:

  O   +   E   =    41

 4O   +   2E  = 114

Multiplying the first equation by -2 results in -2O  - 2E  = -82.

Combining this result with the second equation, we obtain the system

 4O  +  2E  =  114

 -2O  - 2E  = -82

-------------------------------

  2O =   32

Then O = # of goats = 32/2, or 16, and so the equation O   +   E   =    41 becomes

         E  = # of geese =  41 - O (remembering that we found O to be 16), or

         E  =  41 - 16  = 25


There are 25 geese and 16 goats.

6 0
3 years ago
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