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meriva
3 years ago
9

Consider the following trigonometric function. h(x) = 3 sin (2x - pi) + 2. Graph h(x) in the interactive widget.

Mathematics
1 answer:
Ket [755]3 years ago
7 0

Answer:

Hope it helped!

Step-by-step explanation:

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In a circle with a diameter of 25.2 ft, an arc is intercepted by a central angle of 168º.
Rina8888 [55]

Answer:

36.93\ ft

Step-by-step explanation:

step 1

Find the circumference of the circle

The circumference is equal to

C=\pi D

we have

D=25.2\ ft

substitute

C=25.2\pi\ ft

step 2

we know that

The circumference of a circle subtends a central angle of 360 degrees

so

using proportion

Find out the arc length by a central angle of 168 degrees

\frac{25.2\pi}{360}=\frac{x}{168}\\\\x=25.2\pi*168/360\\\\x=(25.2*3.14)*168/360\\\\x=36.93\ ft

3 0
3 years ago
Solve the equation |x-2|-3=0 first by finding the zeros of<br> y=|x-2|-3 and then algebraically.
tino4ka555 [31]

Answer:

The solution of given equation are -1 and 5.

Step-by-step explanation:

The given equation is

|x-2|-3=0

We need to solve the above equation by finding the zeros of

y=|x-2|-3

The vertex form of an absolute function is

y=a|x-h|+k

where, a is constant and (h,k) is vertex.

Here, h=2, k=-3. So vertex of the function is (2,-3).

The table of values is

   x           y

   0         -1

   2         -3

   4         -1

Plot these points on a coordinate plane and draw a V-shaped curve with vertex at (2,-3).

From the given graph it is clear that the graph intersect x-axis at -1 and 5. So, zeroes of the function y=|x-2|-3 are -1 and 5.

Therefore the solution of given equation are -1 and 5.

Now solve the given equation algebraically.

|x-2|-3=0

Add 3 on both sides.

|x-2|=3

x-2=\pm 3

Add 2 on both sides.

x=\pm 3+2

x=3+2 and x=-3+2

x=5 and x=-1

Therefore the solution of given equation are -1 and 5.

3 0
3 years ago
Is 5 a solution to the equation 3x + 1 equals 7​
Shkiper50 [21]

Answer:

no. I think its 2

Step-by-step explanation:

3x+1=7

3x=7-1

3x=6

x=2

3 0
3 years ago
How do u solve 7.50 minus 75.00
Ira Lisetskai [31]

Answer:

-67.50.

Step-by-step explanation:

7.50 - 75.00

= - (75.00 - 7.50)

= -67.50.

5 0
3 years ago
Mark the congruent parts of the triangles and complete the proof
natita [175]

1) given

2) definition of an angle bisector

3) reflexive

4) \triangle ABD \cong \triangle CBD (ASA)

5) \angle A \cong \angle C (CPCTC)

8 0
2 years ago
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