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Mashcka [7]
1 year ago
6

The blue segment below is a diameter of OO. What is the length of the radius of the circle? O A. 2.95 units O B. 11.8 units O c.

5.9 units O D. 8.85 units​

Mathematics
1 answer:
Archy [21]1 year ago
6 0

Answer:

The length of the radius is <u><em>2.95 units </em></u>

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Air pressure may be represented as a function of height above the surface of the Earth as shown below. P(h)=PoE^-.00012h In this
AlexFokin [52]

The equation to find the air pressure (P(h)) at a height above sea level (h) is given by

P(h)=P_{0} e^{-0.00012h}

Where,

  • P(h) is the new pressure at height h
  • P_{0} is the air pressure at sea level, and
  • h is the height (measured in meters).

We want to know the new pressure that is 65% of P_0.  So we should substitute 0.65P_0 in P(h) (new pressure) to get the equation:

0.65P_0=P_0e^{-0.00012h}. Answer choice B is the correct one.

ANSWER: B

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2 years ago
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Purnima took a loan of RS.100,000 from bank at the rate of 10 % compound interest . Immediately she lent the whole amount to her
denis-greek [22]

Answer:

RS 44,000

Step-by-step explanation:

The compound interest formula is FV = PV(1 + r)ⁿ. Where FV = Future value, PV = present value, r = rate and n = no of years.

Since Purnima loans RS 100,000, PV = 100,000. Which is the amount she lends to her friend. She lends to her friend at a rate of 10% compound half yearly which equals r = 10% ÷ 1/2 year = 20% per year = 0.2. Since she lends her friend for two years, n = 2.

So, FV = PV(1 + r)ⁿ = 100,000(1 + 0.2)² = 100,000(1.2)² = 144,000

So, her profit is FV - PV = 144,000 - 100,000 = RS 44,000

5 0
2 years ago
Find FL if H is the circumcenter of EFG,
Zanzabum

The artistic crop isn't helpful; it cuts off some vertex names.

The circumcenter H is the meet of the perpendicular bisectors of the sides, helpfully drawn.  We have right triangle ELH, right angle L, so

EH² = HL² + EL²

EL = √(EH² - HL²) = √(5.06²-2.74²) ≈ 4.2539393507665339

Since HL is a perpendicular bisector of EF, we get congruent segments FL=EL.

Answer: 4.25

8 0
2 years ago
Which statements about the figure are true? Select two options.
harina [27]

<u>Complete Question</u>

The circle is inscribed in triangle PRT. A circle is inscribed in triangle P R T. Points Q, S, and U of the circle are on the sides of the triangle. Point Q is on side P R, point S is on side R T, and point U is on side P T. The length of R S is 5, the length of P U is 8, and the length of U T is 6. Which statements about the figure are true?

Answer:

(B)TU ≅ TS

(D)The length of line segment PR is 13 units.

Step-by-step explanation:

The diagram of the question is drawn for more understanding,

The theorem applied to this problem is that of tangents. All tangents drawn to a circle from the same point are equal.

Therefore:

|PQ|=|PU|=8 Units

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(b)From the above, TU ≅ TS

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6 0
2 years ago
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To make a profit, a clothing store sells jeans at 115% the amount they paid for them. How much did the store pay for the jeans s
Svetllana [295]

Answer:

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Step-by-step explanation:

Let the amount the clothing store pay for Jean be X

Let the amount the clothing store sells Jean be Y = X ×1.15

The profit (P) made is the difference between amount the clothing store sells Jean and the amount paid for Jean = Y - X = 1.15X - X

Profit (P)  = 0.15X

X =  P/0.15 = 6.67P

Therefore, the store paid 6.67 times the profit made on the jeans

8 0
2 years ago
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