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Alexandra [31]
2 years ago
15

on Monday, Mr. James used 25 2/3 ft of material to make placemats. if each placemat required 3 1/4 ft. of material, how many pla

cemats did he make altogether.
Mathematics
1 answer:
SSSSS [86.1K]2 years ago
4 0
Mr. James would have made 7 placemats with the material. hope this helps :)

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Find c.
Vinvika [58]
<h3>Answer:   0.5</h3>

========================================================

Explanation:

The ultimate goal is to find the value for lowercase c, or find the length of side c. So we'll use the portion sin(C)/c as part of the law of sines.

We don't know the value of lowercase 'a', so we'll ignore the sin(A)/a portion.

This leaves sin(B)/b

We see that one side is 2 cm long, so this means b = 2. The angle opposite this is 105 degrees, so B = 105.

The angle opposite side c is 15 degrees, so C = 15.

The lowercase letters represent side lengths, while the uppercase letters are angles.

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

We have enough to apply the law of sines to solve for side c.

sin(B)/b = sin(C)/c

sin(105)/2 = sin(15)/c

c*sin(105) = 2*sin(15) ............. cross multiply

c = 2*sin(15)/sin(105) .............. dividing both sides by sin(105)

c = 0.53589838486224

c = 0.5

Side c is roughly 0.5 cm long.

Make sure your calculator is in degree mode.

6 0
3 years ago
Read 2 more answers
Please help :) Find the unknown length y in the following pair of similar triangles. y= ?
Nimfa-mama [501]

Answer:

Y should equal to 4.5

Step-by-step explanation:

Since they are similar triangles and each of the measurements on the second triangle are divided by two you would do the same for y

4 0
3 years ago
Let a be a real number and n a positive integer . show that x-a is a factor of x^n- a^n
nikklg [1K]

Answer:

steps below

Step-by-step explanation:

x-a=0

x=a   plug in xⁿ - aⁿ

xⁿ - aⁿ = aⁿ - aⁿ = 0

(x-a) must be a factor of xⁿ - aⁿ

6 0
2 years ago
The graph of a certain quadratic function does not cross the x-axis. Which of the following are possible values for the discrimi
irinina [24]
The graph of a quadratic function does not cross the x-axis if the discriminant has negative value.
Answers:
C ) -25
D ) -7
3 0
2 years ago
reduce the following rational expression to lowest terms if possible 12/16 Please answer me fast Will mark as a brainlist
tatyana61 [14]

Answer:

3/4

Step-by-step explanation:

Find the number that can be divided into both numbers.

12÷4 =3 16÷4=3

8 0
3 years ago
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