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2 years ago

10

The resultant force, R, is related to two concurrent forces, X and Y, acting at right angles to one another, by the formula R2=X

2+Y2. Rewrite the formula for Y.

1 answer:

riadik2000 [5.3K]2 years ago

6 0

R^2 = X^2 + Y^2
Y^2 = R^2 - X^2
Y = sqrt(R^2 - X^2)

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Jeremiah works as a salesperson at an electronics store and sells phones and phone accessories. Jeremiah earns a $10 commission

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Answer:

He sold 12 phones and 20 accessories

Step-by-step explanation:

X × 10 = 120. Y × 2 = 40

12 × 10 = 120. 20 × 2 = 40

120 + 40 = $160

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A spinner with 4 colors is spun for a total of 50 trials. Yellow was selected 10 times. What is the experimental probability of

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Answer:

b

Step-by-step explanation:

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1 year ago

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You are about to visit Jamestown in North Dakota, to see the world's largest buffalo monument. You know that it snows $25\%$ of

RideAnS [48]

Answer:

The probability that it is actually snowing in North Dakota is 17%.

Step-by-step explanation:

Note: The data in the question is not properly stated. The complete question is therefore represented to correct this as follows:

You are about to visit Jamestown in North Dakota, to see the world's largest buffalo monument. You know that it snows 25% of the time in North Dakota, and you are thinking about bringing your parka. It turns out that you have three friends who live in North Dakota, but they are not very trustworthy: Each tells the truth 2/3 of the time, and lies for the remaining 1/3. You call your three friends, and each friend tells you that it is indeed snowing in North Dakota. Given this information, what is the probability that it is actually snowing in North Dakota?

The explanation to the answer is now given as follows:

The probability that it is actually snowing in North Dakota can be calculated using the following formula:

Pa = Pr * Pt ........................... (1)

Where;

Pa = the probability that it is actually snowing in North Dakota = ?

Pr = the prior probability that it snows in North Dokota = 25%, or 0.25

Pt = Probability of saying the truth that it snows = 2/3 = 0.67

Substituting the value into equation (1), we have:

Pa = 0.25 * 0.67

Pa = 0.17, or 17%

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2 years ago

Jack was so frustrated with his slow laptop that he threw it out of his second story window. The height, h, of the laptop at tim

jeyben [28]

Answer:

The domain of the function is the interval [0,2.23]

see the explanation

Step-by-step explanation:

Let

t ----> the time in seconds

h(t) ----> the height of the laptop in units

we have

$h(t)=-16t^{2}+28t+17$

we know that

When the laptop hits the ground, the value of h(t) is equal to zero

so

For h(t)=0

$-16t^{2}+28t+17=0$

Solve the quadratic equation

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$-16t^{2}+28t+17=0$

so

$a=-16\\b=28\\c=17$

substitute in the formula

$x=\frac{-28(+/-)\sqrt{28^{2}-4(-16)(17)}} {2(-16)}$

$x=\frac{-28(+/-)\sqrt{1,872}} {-32}$

$x=\frac{-28(+/-)12\sqrt{13}} {-32}$

$x_1=\frac{-28(+)12\sqrt{13}} {-32}=-0.477$

$x_1=\frac{28(-)12\sqrt{13}} {32}=-0.477$ ---> is not a solution

$x_2=\frac{-28(-)12\sqrt{13}} {-32}$

$x_2=\frac{28(+)12\sqrt{13}} {32}=2.23\ sec$

therefore

The domain of the function is the interval [0,2.23]

All real numbers greater than or equal to 0 seconds and less than or equal to 2.23 seconds

$0\ sec \leq x \leq 2.23\ sec$

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2 years ago

In circle O, what is m∠MAJ?

ira [324]

we know that

The measure of the interior angle is the half-sum of the arcs comprising it and its opposite.

so

<u>Find the measure of the angle LAM</u>

m∠LAM is equal to

$\frac{1}{2}*[arc\ KJ+arc\ LM]= \frac{1}{2}*[170+80]\\\\=125\ degrees$

<u>Find the measure of the angle MAJ</u>

we know that

m∠LAM+m∠MAJ= $180$ ° ------> by supplementary angles

m∠MAJ= $(180-125)$

m∠MAJ= $55$ °

therefore

<u>the answer is</u>

The measure of the angle MAJ is $55\ degrees$

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2 years ago

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