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3 years ago

In the triangle below, y = [ ? ] cm. Round to the nearest tenth. 15 cm 35 90°

Mathematics

1 answer:

irina [24]3 years ago

6 0

Answer:

y ≈ 12.3

Step-by-step explanation:

Using the SOH CAH TOA identity to get the value of y as shown;

sin theta = opposite/hypotenuse

opposite = y

hypotenuse = 15cm

theta = 180-(35+90)

theta = 180-125

theta = 55 degrees

sin 55 = y/15

y = 15sin55

y = 12.287

y ≈ 12.3 (to the nearest tenth)

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Answer:

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Step-by-step explanation:

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saul85 [17]

Answer:

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Step-by-step explanation:

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4 years ago

What is the formula for a cylinder and a circle?

matrenka [14]

The surface area of a right cylinder equals $2 \pi rh+2 \pi r^2$

As you can see in the attached picture, the surface area consists of two equal circles (bottom and top one) and area that would look like a rectangle, if "unraveled".

The formulae for the surface area of the circle is $\pi r^{2}$ . You have to multiply it by two and add to the area of the "rectangle", which equals $2 \pi rh$ where $2 \pi r$ is the circumference of the circle and $h$ is the height of the cylinder.

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3 years ago

A child has a box full of colored building blocks. She will choose one block without looking. The odds against choosing a blue b

Mama L [17]

(a) A child has a box full of colored building blocks. She will choose one block without looking. The odds against choosing a blue block are 4/7. What is the probability of choosing a blue block?

Answer:

7/11 is the probability of choosing a blue block.

Step-by-step explanation:

We need the probability of choosing a blue block,

Odds:

The odds of an event is the ratio of the probability of an event to the probability of its complement. In other words, it is the ratio of favorable outcomes to unfavorable outcomes.

The odds against choosing a blue block are 4/7 means. In 11 chances, 4 events will happen in which blue block will not be chosen and 7 events will happen in which blue blocks will be chosen.

So, the probability of not choosing the blue block is 4/11.

Probability of choosing blue block: complement of 4/11 which is equal to 7/11.

(b) Amanda is playing a role-playing game with her friends. She will roll dice to determine if her character unlocks a treasure chest. The probability of her character unlocking the treasure chest is 13/20. Find the odds in favor of her character unlocking the treasure chest.

Answer:

The odds in favor of her character unlocking the treasure chest are 13/7.

Step-by-step explanation:

The probability of Amanda's character unlocking the treasure chest is 13/20.

It means, in 20 total chances, 13 times an event will happen where Amanda's character unlocks the treasure chest while the rest 7 times, her character would not open treasure chest.

Favorable events: 13

Unfavorable events: 7

Hence, the odds in favor of her character unlocking the treasure chest are 13/7.

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3 years ago

A rabbit hops 8 meters in one second. After 7 seconds, the rabbit has hopped 20 meters. What is the rabbit's average rate of cha

AfilCa [17]

Answer:

Average Rate of change = 2

Step-by-step explanation:

Given - A rabbit hops 8 meters in one second. After 7 seconds, the rabbit has hopped 20 meters.

To find - What is the rabbit's average rate of change?

Formula used -

Average rate of change of a function f(x) in an interval [a, b] is $\frac{f(b) - f(a)}{b - a}$

Proof -

Given that,

In 1 second - Rabbit hoops 8 meters

In 7 seconds - Rabbit hoops 20 meters

So,

Average Rate of change = $\frac{20 - 8}{7 - 1}$

= $\frac{12}{6}$

= 2

⇒Average Rate of change = 2

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3 years ago