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2 years ago

10

Convert the given angle measure from degrees to radians: 300°.

1 answer:

krek1111 [17]2 years ago

6 0

Answer:

$\frac 53 \pi$

Step-by-step explanation:

Simple formula: $\frac \alpha {\alpha°} =\frac \pi {180°}$ where $\alpha$ is the angle in radians, and $\alpha°$ is the angle in degrees. By plugging numbers you'll get the result.

Another way to get the result, which I like more, is to think of it in parts of the whole circle. 300° is 5/6 of a circle, and a circle measures $2\pi$ Hence, you want 5/6 of $2\pi$ , or $\frac 53 \pi$

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What is the value of x when y = 16? y = 0.25x + 11

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3 years ago

Selma cannot remember her locker number! She knows that her locker number is prime, and that it is a factor of 435. What are all

tatuchka [14]

Answer:

Possible locker numbers for Selma are: 3, 5 and 29

Step-by-step explanation:

First of all, let us have a look at the definition of a prime number.

A <em>prime number</em> is a number which is divisible either by 1 or the number itself.

No other number divides the prime number other than 1 and the number itself.

Now, let us factorize the given number 435 and let us observe the what all possibilities are there.

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Factorizing 145 further:

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2 years ago

The height h in feet of a ball thrown vertically upward from the top of a 288-foot tall building is given by h=288+48t-16t^2 whe

mr Goodwill [35]

6 sec can take penny to strike the ground.

Solution:

Given data:

$H_0=288$ feet

$V_0=48$ feet

$h(t)=288+48t-16t^2$

Re-arrange the terms from greatest degree to smallest degree.

$h(t)=-16t^2+48t+288$

We can solve it by applying quadratic formula,

$$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

Here a = –16, b = 48, c = 288

$$t=\frac{-48\pm \sqrt{48^2-4(-16)(288)}}{2(-16)}$

$$t=\frac{-48\pm \sqrt{2304+18432}}{-32}$

$$t=\frac{-48\pm \sqrt{20736}}{-32}$

$$t=\frac{-48\pm144}{-32}$

Now, write find two t's using plus and minus operation.

$$t=\frac{-48+144}{-32},\ \ t=\frac{-48-144}{-32}$

$$t=\frac{96}{-32},\ \ t=\frac{-192}{-32}$

t = –3 (or) t = 6

We cannot write time is negative. so neglect t = –3.

Therefore t = 6.

Hence 6 sec can take penny to strike the ground.

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2 years ago