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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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Use the law of sines to find the value of w.
Lunna [17]

Option B: 4.0 cm is the value of w

Explanation:

It is given that \angle W= 39, \angle U=31, VW=3.3 and UV=w

Using the law of sines, we have,

\frac{sin U}{3.3} =\frac{sin W}{w}

Substituting the values, we have,

\frac{\sin 31}{3.3}=\frac{\sin 39}{w}

Cross multiplying, we get,

(sin31) w=3.3( \sin 39)

Simplifying, we have,

0.515w=2.077

Dividing both sides by 0.515, we have,

w=4.0

Thus, the value of w is 4.0 cm

Hence, Option B is the correct answer.

4 0
3 years ago
Read 2 more answers
Yeric designs a circular cushion by cutting pieces of fabric to sew together as the front and back of the cushion. He cuts each
Anastaziya [24]

Answer:

20 inches

Step-by-step explanation:

correct on edge

7 0
3 years ago
Read 2 more answers
A manager in a call center needs to determine how many agents to schedule next week.
lukranit [14]

Answer:

Number of calls expected in next week by manager = 7940

Average Number of calls that call center agent will attend in an hour =7 calls

It is also given that, Call center remain open for 10 hours 5 days a week.

Also, it is given that, full time agents work 40 hours a week but are only on call for 35 hours per week  ,Part time agents work 20 hours a week but are only on calls 17 hours per week .

⇒Number of hours worked by full time agents × Number of calls attended in an hour × Number of full time agents + Number of hours worked by Part time agents × Number of calls attended in an hour × Number of Part time agents ≤ 7940

⇒35 × 7×Number of full time agents +17 × 7 ×Number of Part time agents ≤ 7940

Option A

⇒35×15×7+17×7×15

= 3675+1785

= 5460

Option B

⇒35 ×7×20+17×7×7

=4900 +833

= 5733

Option C

⇒35×20×7 +17×20×7

=4900+2380

=7280

Option D

⇒25 × 35×7+17×7×5

=6125 +595

=6720

Option E

⇒28×35×7+17×7×10

=6860+1190

=8050

Option E, ⇒ 28 full time agents and 10 part time agents , is best to meet the scheduling needs is most appropriate, that is nearer to 7940 calls.

7 0
2 years ago
Which systems of equations intersect at point A in this graph?
Svet_ta [14]

Y = 4 x - 9

y = - 3 x - 5

I hope this will help you

i looked this up and this is what i got

6 0
3 years ago
!!!!!!! Why isn't A the correct answer? I am having trouble to reason why A is wrong so please help if can!
docker41 [41]

Answer:

d.  x = -3

Step-by-step explanation:

<u />\sqrt{(x + 3)}÷ (x+8)(x-2) = 0

f(x) / g(x) = 0

Variable x cannot be equal to any of the values −8,2 since division by zero is not defined. Multiply both sides of the equation by (x−2)(x+8).

<u />\sqrt{(x + 3)} = 0 ------ square both sides

x + 3 = 0

solve for x:

x = -3

4 0
3 years ago
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