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vlada-n [284]
3 years ago
5

Tell me how you got the answer

Mathematics
1 answer:
Anvisha [2.4K]3 years ago
8 0

Answer:

x = 18; y = 20

Step-by-step explanation:

6.

Triangles KLM and KNO are similar, so the ratios of the lengths of corresponding sides are equal.

KL/KN = LM/NO

10/30 = 6/x

Cross multiply.

10x = 6 * 30

10x = 180

x = 18

KL + LN = KN

10 + y = 30

y = 20

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12+12 is 24, 24+24 is 48, and 48+4 is 52. Hope this helps!
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Joey has $27. He wants to a cake for $25 before tax. Sales tax is 8%. Does Joey have enough to buy the cake? How much is the cak
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Answer:

yes

Step-by-step explanation:

$25*8%

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The diameter of a circle measures 7 5/6 inches. What is the radius of the circle? Enter your answer as a mixed number in the box
andrew-mc [135]

The radius of the circle expressed as a mixed number is:  3\frac{11}{12} inches.

<h3>What is the Radius of a Circle?</h3>

Radius of a circle = half the measure of the diameter of a circle.

Given:

diameter of a circle = 7\frac{5}{6} inches

Therefore:

Radius of the circle = 1/2(7\frac{5}{6})

= 1/2(47/6)

= (1 × 47)/(2 × 6)

= 47/12

= 3\frac{11}{12} inches.

Therefore, the radius of the circle expressed as a mixed number is:  3\frac{11}{12} inches.

Learn more about radius of a circle on:

brainly.com/question/24375372

4 0
2 years ago
The rate of change (dP/dt), of the number of people on an ocean beach is modeled by a logistic differential equation. The maximu
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Answer:

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Step-by-step explanation:

The logistic differential equation is as follows:

\frac{dP}{dt} = rP(1 - \frac{P}{K})

In this problem, we have that:

K = 1200, which is the carring capacity of the population, that is, the maximum number of people allowed on the beach.

At 10 A.M., the number of people on the beach is 200 and is increasing at the rate of 400 per hour.

This means that \frac{dP}{dt} = 400 when P = 200. With this, we can find r, that is, the growth rate,

So

\frac{dP}{dt} = rP(1 - \frac{P}{K})

400 = 200r(1 - \frac{200}{1200})

166.67r = 400

r = 2.4

So the differential equation is:

\frac{dP}{dt} = rP(1 - \frac{P}{K})

\frac{dP}{dt} = 2.4P(1 - \frac{P}{1200})

3 0
2 years ago
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