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Xelga [282]
3 years ago
7

Solve the equation + explanations

Mathematics
1 answer:
sergey [27]3 years ago
8 0

Answer:

(1 + √2)/2

Step-by-step explanation:

Assuming the values are in degrees,

sin(45) = sin(π/4)=√2/2

cos(60) = cos(π/3)=1/2  

thus

sin(45) + cos(60) = √2/2 + 1/2  = (1 +√2)/2

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Graphically determine the slopes of the line segments that create triangle ACD shown below. Write your final slopes in simplest
a_sh-v [17]

Answer:

Step-by-step explanation:

From the graph attached,

Coordinates of points A, C and D are,

A(-2, -7), C(-6, 7) and D(9, 2)

Slope of AD = \frac{y_2-y_1}{x_2-x_1}

                    = \frac{-7-2}{-2-9}

                    = \frac{9}{11}

Slope of CD = \frac{7-2}{-6-9}

                     = -\frac{1}{3}

Slope of AC = \frac{7-(-7)}{-6-(-2)}

                    = -\frac{14}{4}

                    = -\frac{7}{2}

7 0
3 years ago
Is square root of 7 a rational number?? Why or why not.
miss Akunina [59]
2.64575131106.. or you can round it but it is irrational because rational numbers either stop or repeat irrational don't
3 0
3 years ago
The system of equations shown is solved using the linear combination method What does 0 = 0 mean regarding the solution to the s
tester [92]
When ur variables cancel and ur left with a true statement...equal statements, such as 0 = 0 or 6 = 6, then u will have infinite solutions. So the answer to this is infinite solutions.

** now if u were left with 0 = 3 or 2 = -2....then there would be no solutions.
if u ended up with x = 7 or y = 5....a variable equal to a number, then there is 1 solution
3 0
4 years ago
Read 2 more answers
Solve for all values of x by factoring.<br> X^2 +2x-36=2x
steposvetlana [31]

Answer: 26 and 2

Step-by-step explanation: because it makes sense

4 0
3 years ago
Martin sorted the bolts in his toolbox by size. They measured 3/8 inch, 1/2 inch,5/8 inch, 7/8 inch, and 1 1/4 inches . What is
gizmo_the_mogwai [7]

Answer:

Length between the longest bolt and the shortest bolt is:

2.375 inch

If we laid one of each size bolt end to end , then the length of  row of bolts is:

5.125 inch

Step-by-step explanation:

We are given that:

Martin sorted the bolts in his toolbox by size.

They measured 3/8 inch, 1/2 inch,5/8 inch, 7/8 inch, and 1 1/4 inches

longest bolt=  11/4 inches    shortest bolt=3/8 inch

Difference between longest and shortest bolt=  \dfrac{11}{4} - \dfrac{3}{8}\\ \\=\dfrac{22-3}{8}\\ \\=\dfrac{19}{8}\\ \\= 2.375

Now, if we lay one of each size bolt end to end then, length of row will be:

  \dfrac{3}{8}+\dfrac{1}{2}+\dfrac{5}{8}+\dfrac{7}{8}+\dfrac{11}{4}

=41/8

= 5.125 inches

5 0
3 years ago
Read 2 more answers
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