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bagirrra123 [75]
2 years ago
15

What is the common ratio for the geometric sequence?

Mathematics
1 answer:
Bezzdna [24]2 years ago
6 0

Answer:

3 is the correct answer

u can find common ratio by dividing a specific term in GP by its preceding term. ...just as here

4/(4/3) = 3

also 12/4 = 3

also 36 /12 = 3

hence the common ratio for this GP is 3

hope it helped

Step-by-step explanation:

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Jeanne makes hair bows to sell at the craft fair each bow requires 5yards of ribbon at the fabric store ribbon is sold by a foot
Karolina [17]

Answer:

1260

Step-by-step explanation:

7 0
3 years ago
Destiny poured 24 ounces of juice into 4 1/2 ounce servings. She has 1 1/2 ounces of juice left over. How many 4 1/2 ounce servi
Nataly_w [17]
She poured 5 servings because 5 x 4 1/2 = 22 1/2. so when you add the left over 1 1/2 to that you get 24 

5 0
3 years ago
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Use the diagram to complete the statement. Triangle J K L is shown. Angle K J L is a right angle. Angle J K L is 52 degrees and
zzz [600]

Answer:

\bold{sin(38^\circ)=cos(52^\circ)}

Step-by-step explanation:

Given that \triangle KJL is a right angled triangle.

\angle JKL = 52^\circ\\\angle KLJ = 38^\circ

and

\angle KJL = 90^\circ

Kindly refer to the attached image of \triangle KJL in which all the given angles are shown.

To find:

sin(38°) = ?

a) cos(38°)

b) cos(52°)

c) tan(38°)

d) tan(52°)

Solution:

Let us use the trigonometric identities in the given \triangle KJL.

We have to find the value of sin(38°).

We know that sine trigonometric identity is given as:

sin\theta =\dfrac{Perpendicular}{Hypotenuse}

sin(\angle JLK) = \dfrac{JK}{KL}\\OR\\sin(38^\circ) = \dfrac{JK}{KL}....... (1)

Now, let us find out the values of trigonometric functions given in options one by one:

cos\theta =\dfrac{Base}{Hypotenuse}

cos(\angle JLK) = \dfrac{JL}{KL}\\OR\\cos(38^\circ) = \dfrac{JL}{KL}....... (2)

By (1) and (2):

sin(38°) \neq cos(38°).

cos(\angle JKL) = \dfrac{JK}{KL}\\OR\\cos(52^\circ) = \dfrac{JK}{KL} ...... (3)

Comparing equations (1) and (3):

we get the both are same.

\therefore \bold{sin(38^\circ)=cos(52^\circ)}

6 0
3 years ago
In the interval 0 x 360 find the values of x for which cos x =0.7252
Sergeeva-Olga [200]

Answer:

x_1 = 43.5145\°

x_2 = 316.4855\°

Step-by-step explanation:

We have a positive value for the cosine of x, so we know that the value of x should be in the first quadrant (0 ≤ x ≤ 90) or in the fourth quadrant (270 ≤ x ≤ 360).

Now, let's find the value of x that gives cos(x) = 0.7252 using the inverse function of the cosine, that is, the arc cosine function.

The value of x can be calculated using:

x = arccos(0.7252)

Using this function in a calculator (you may find it as: cos^{-1}(x)), we have that:

x_1 = 43.5145\°

So this is the value of x in the first quadrant. To find the other value of x, in the fourth quadrant, that gives the same result, we just need to calculate 360° minus the value we found:

x_2 = 360\° - 43.5145\° = 316.4855\°

So the values of x are:

x_1 = 43.5145\°

x_2 = 316.4855\°

7 0
2 years ago
The height of an object thrown into the air can be modeled by
lara [203]

Answer:

A) 161 feet

Step-by-step explanation:

h(3) = -16(3)² + 70(3) + 95 = 161

6 0
2 years ago
Read 2 more answers
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