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KIM [24]
2 years ago
5

Let csc(x) = Cosecant (x) = StartFraction 14 Over 10 EndFraction, where 0 less-than x less-than StartFraction pi Over 2 EndFract

ion. Which ratio has a value of StartFraction StartRoot 96 EndRoot Over 14 EndFraction?
cos(x)
sin(x)
sec(x)
cot(x)
Mathematics
2 answers:
dedylja [7]2 years ago
4 0

Answer:

First Option: cos(x)

Step-by-step explanation:

What is given is csc(x) = 14/10

The graph lies in the first quadrant since 0 < x < pi/2

Create a triangle:

The length across is 14

The adjacent is 10

The length of the shorter side is root 96

Use the pythagorean theorem

BC^2 = 14^2 - 10^2

BC^2 = 196 - 100, 96

BC^2 = root 96/14

Recall SOH-CAH-TOA

Adjacent over Hypotenuse is cos

That is how the answer is cos(x)

NeTakaya2 years ago
3 0

Answer:

A. cos(x)

Step-by-step explanation:

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What is the median of these numbers 2.4,2.8,2.3,2.9,2.9
liberstina [14]

Answer:

2.8

Step-by-step explanation:

x2.3, x2.4, 2.8, x2.9, x2.9

4 0
1 year ago
The base of a triangle in which a=58.5 in^2 height=9
Nuetrik [128]
Area of a triangle = 1/2 x base x height
a = 58.5 
height = 9

58.5 = 1/2 x base x 9
58.5 = 4.5 x base
base = 13
3 0
2 years ago
Read 2 more answers
Tire pressure monitoring systems (TPMS) warn the driver when the tire pressure of the vehicle is 28% below the target pressure.
Alona [7]

Answer:

Step-by-step explanation:

Hello!

The monitoring system warn the driver when the tire pressure of the vehicle is 28% below target pressure.

Be X: target tire pressure of a certain car (pounds per square inch)

a)

X= 28 psi

If the monitoring system will warn the driver when the pressure is 28% below the target pressure: X-0.28X

First step, you have to calculate the 28% of 28psi

28*0.28= 7.84

Second step, is to subtract the calculated 28% to the target pressure:

28 - 7.84= 20.16

The TPMS will trigger a warning at 20.16 psi.

b)

If X~N(μ;σ²)

μ= 28psi (since the average is on target, then the target pressure for the car will be the average value of the distribution)

σ= 3psi

P(X≤20.16)

The standard normal distribution is tabulated. Any value of any random variable X with normal distribution can be "converted" by subtracting the variable from its mean and dividing it by its standard deviation.

So to calculate each of the asked probabilities, you have to first, "transform" the value of the variable to a value of the standard normal distribution Z, then you use the standard normal tables to reach the corresponding probability.

Z= (X-μ)/σ= (20.16-28)/3= -2.61

Now you have to look for the corresponding value of probability using the Z-table. Since the value is negative you have to the use the left entry of the Z-table, in the first column you'll find the integer and first decimal of the value -2.6- and in the first row you'll find the second decimal value -.-1

The value of probability that corresponds to -2.61 is:

P(Z≤-2.61)= 0.005

c)

You have to calculate the probability of inspecting a tire at random and it being inflated within recommended range, symbolically this is:

P(30≤X≤26)= P(X≤30)-P(X≤26)

Calculate both Z values:

Z= (30-28)/3= 0.67

Z= (26-28)/3= -0.67

P(Z≤0.67)-P(Z≤-0.67)= 0.749 - 0.251= 0.498

The probability of the tire being inflated within recommended inflation range is 0.498.

I hope this helps!

5 0
2 years ago
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Nikitich [7]
Check the picture below.

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keep in mind that the vertex is half-way between the focus point and directrix, at a distance "p" from either one, notice the "p" distance is just 3 units, since the parabola is opening to the right, "p" is positive.

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6 0
2 years ago
Which of the following is a point of tangency on the circle below?<br> Help ASAP please
kumpel [21]

Answer:

Point B

Step-by-step explanation:

a point of tangency on a circle is where an outside line touches the outer circle at one point (the outside line touching it only once is what makes that line a tangent) so in this case the point of tangency is Point B

Please mark as Brainliest :)

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2 years ago
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