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3 years ago

What is tan angle QTR if line PR is tangent to circle T at Q, and TS = 1 cm?

1 answer:

3 0

Tangent = opposite / adjacent

In the diagram:
TQ is the short leg or the opposite
QR is the long leg or the adjacent
TR is the hypotenuse. TS is part of the hypotenuse.

Tan(QTR) = TQ / QR

TS = 1 ; TQ = TS so, TQ = 1

Tan(QTR) = 1/QR

I think the answer is C.RQ

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Initially a wheel rotating about a fixed axis at a constant angular deceleration of 0.5 rad/s 2 has an angular velocity of 0 rad

Zigmanuir [339]

Answer:

$\theta = 5.83\ rad$

Step-by-step explanation:

given,

angular deceleration, α = -0.5 rad/s²

final angular velocity,ω_f = 0 rad/s

angular position, θ = 6.1 rad

angular position at 3.9 s = ?

now, Calculating the initial angular speed

$\omega_f^2 = \omega_i^2 + 2 \alpha \theta$

$0 = \omega_i^2 - 2\times 0.5\times 6.1$

$\omega_i = \sqrt{6.1}$

$\omega_i = 2.47\ rad/s$

now, angular position calculation at t=3.9 s

$\theta = \omega_i t + \dfrac{1}{2}\alpha t^2$

$\theta =2.47\times 3.9 - \dfrac{1}{2}\times 0.5\times 3.9^2$

$\theta = 5.83\ rad$

Hence, the angular position of the wheel after 3.9 s is equal to 5.83 rad.

7 0

3 years ago

Use the distributive property to simplify this expression: 0.1(2x+3)

soldi70 [24.7K]

$\huge\text{Answer:}$

$\huge\mathrm{0.2x+0.3}\checkmark$

$\huge\text{Solution:}$

Hi there, hope you are having a great day! :)

<em /> $\bigstar\star\star\sf{What\:is\:the\:Distributive\:Property?}$

The Distributive Property is a property which states that

$\longmapsto\sf{a(b+c)=ab+ac$

Now, let's apply this property:

$\longmapsto\sf{0.1(2x+3)$

$\longmapsto\sf{0.2x+0.3}$ (Answer)

Hope you find it helpful.

Feel free to ask if you have any doubts.

$\bf{-MistySparkles^**^*$

8 0

2 years ago

he table shows the mean number of basketball goals made by four random samples of players from the school team during this year’

Strike441 [17]

The valid prediction for the mean of the population possible using these samples is C. Yes, the variation of the sample means is small

<h3>What is a sample mean?</h3>

It should be noted that a sample mean is an average of a set of data . Also, the sample mean can be used to calculate the standard deviation, central tendency, and the variance of a data set.

The sample mean can be applied to a variety of uses, including calculating population averages.

Here, the sample variance is a measure of the degree to which the numbers in a list are spread out. Here, the numbers given are close to each other.

If the numbers in a list are all close to the expected values, the variance will be small and if they are far away, the variance will be large.

Therefore, the correct option is C.

Learn more about mean on:

brainly.com/question/1136789

#SPJ1

3 0

1 year ago

Which graph best represents the following situation?

hichkok12 [17]

Answer:

The correct option is D. The situations x increases, y decreases; r= -0.41 is represented by Graph D.

Step-by-step explanation:

Given information: x increases, y decreases; r= -0.41.

Here r represents the correlation between two variables x and y.

If r is close to -1, then it is strong negative correlation.

If r is close to 1, then it is strong Positive correlation .

If r is close to -0.5, then it is weak negative correlation.

If r is close to 0.5, then it is weak positive correlation .

If r=0, then there is no correlation between x and y.

In graph A, x increases, y decreases and r is close to -1 because it is strong negative correlation.

Therefore option A is incorrect.

In graph B, x increases, y increases and r is close to 0.5 because it is weak positive correlation.

Therefore option B is incorrect.

In graph C, x increases, y increases and r is close to 1 because it is strong positive correlation.

Therefore option C is incorrect.

In graph A, x increases, y decreases and r is close to -0.5 because it is weak negative correlation.

Therefore option D is correct.

4 0

3 years ago

Read 2 more answers

The circumference of a circle is 31.4 feet. What is the area?

Lapatulllka [165]

A ≈ 78.46 ft

To find the answer just look up the formula for finding area with circumference and plug in the circumference

4 0

3 years ago