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3 years ago

5. The combined perimeter of a circle and a square is 16. Find the dimensions of the circle and square

Mathematics

1 answer:

charle [14.2K]3 years ago

8 0

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Geometric mean of 32 and 18

Rudiy27

Answer

Geometric mean: 24

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3 years ago

Kristen is 64 inches tall, and she stands 12 feet away from a streetlight. If she casts an 82-inch-long shadow, how tall is the

o-na [289]

Answer:

176.39 inches or

14.70 feet

Step-by-step explanation:

Consider the right triangle made by Kristen, ground and shadow.

This triangle has one leg as 64 inches.

Next consider the right triangle formed by street light, ground upto shadow tip.

The two triangles have common angle of elevation and also another angle as 90 degrees.

Hence the two triangles would be similar

Also if A is the angle made by hypotenuse of both triangles with the ground we have

$tanx=\frac{64}{82}$

This value also equals by bigger triangle as

$tanx=\frac{h}{82+12(12)}=\frac{h}{226}$

From these two we get

h = height of street light = $\frac{226(64)}{82} =176.39$

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3 years ago

There are 4 jacks and 13 clubs in a standard, 52-card deck of playing cards. What is the probability that a card picked at rando

Tju [1.3M]

With 4 jacks in the deck of 52, there is a 4/52 = 1/13 probability of drawing 1 jack.

With 13 clubs in the deck, there is a 13/52 = 1/4 probability of drawing 1 card of clubs.

1 of the cards in the deck is both a jack and of suit of clubs, which has a 1/52 probability of being drawn.

P(club OR jack) = P(club) + P(jack) - P(club AND jack) = 13/52 + 4/52 - 1/52 = 16/52 = 4/13

So the answer is B.

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3 years ago

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T - 7 < 10, t = 28<br> show the work plz

Rasek [7]

T - 7 < 10, T = 28
28 - 7 < 10
21 < 10
FALSE

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3 years ago

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What is the vertical asymptote

faust18 [17]

Vertical asymptotes are vertical lines which correspond to the zeroes of the denominator of a rational function. (They can also arise in other contexts, such as logarithms, but you'll almost certainly first encounter asymptotes in the context of

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3 years ago