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KatRina [158]
3 years ago
10

If 5,x,y,40 are in geometrical progression, find x and y respectively.

Mathematics
1 answer:
Andrei [34K]3 years ago
5 0

Answer:

x = 10, y = 20

Step-by-step explanation:

Because this is a geometric sequence, we'll call the rate of change z. Because 40 is 3 terms away from 5, we can write 5 * z * z * z = 5z³ = 40.

z³ = 8 → z = 2

Now, we simply multiply 5 by 2 to get x, which is 10, and then we multiply x by 2 to get 10 * 2 = 20 for y. Hope this helps!

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sergij07 [2.7K]

Answer:

3 x 2 + 2 x − 2

Step-by-step explanation:

5 0
3 years ago
Solve 5x – 2y = 11 for y.​
Yuki888 [10]
Answer
42

step by step
5 times 11 - 2 times 11
3 0
3 years ago
What is |1-8i|?<br><br> A.<br> B.<br> C<br> D
kondor19780726 [428]

9514 1404 393

Answer:

  (b) √65

Step-by-step explanation:

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3 0
3 years ago
Given sin theta = 1/3 and 0 theta pi/2 find tan 2 theta
Kazeer [188]

Answer:

\tan2\theta=\pm\dfrac{4\sqrt{2}}{7}

Step-by-step explanation:

Given: \sin\theta = \dfrac{1}{3}

0\leq \theta \leq \dfrac{\pi}{2}

Theta lie in first quadrant.

Multiply both sides by 2

0\leq 2\theta \leq \pi

2theta lie in I and II quadrant.

\tan2\theta is positive in I and negative in II quadrant.

\sin\theta=\dfrac{1}{3}

\cos\theta=\dfrac{2\sqrt{2}}{3}

\sin2\theta=2\sin\theta\cos\theta

\sin2\theta=2\cdot \dfrac{1}{3}\cdot \dfrac{2\sqrt{2}}{3}=\dfrac{4\sqrt{2}}{9}

\cos2\theta=\pm \sqrt{1-\sin^22\theta}=\pm\dfrac{7}{9}

\tan2\theta=\dfrac{\sin2\theta}{\cos2\theta}

\tan2\theta=\pm\dfrac{4\sqrt{2}}{7}

Hence, The value of \tan2\theta=\pm\dfrac{4\sqrt{2}}{7}

5 0
3 years ago
Read 2 more answers
Suppose 150 students were surveyed.How many students chose math as their favorite subject?
Vsevolod [243]
First calculate the percentage of math.
100-23-30-15-12
=20%
then 150x20% for the math
=30 so there are 30 students chose math.
7 0
3 years ago
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