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Alja [10]
3 years ago
11

What is the value of tan D?

Mathematics
1 answer:
Talja [164]3 years ago
5 0
Hey there!

As according to the mathematical acronym SOH CAH TOA (Sin Opposite Hypotenuse, Cos Adjacent Hypotenuse, Tan Opposite Adjacent), the correct answer would be the first choice, \frac{12}{5}.

The reason behind this is because the tangent value of an angle is always the length value opposite of given angle over the value adjacent (or right next to) the given angle.

In this case, the question is asking for Tan D. The side value opposite of angle D would be 12, and the length value that is adjacent to angle D is 5.

Therefore, the value of tan D would be \frac{12}{5}.

Hope this helps and I hope you have a marvelous day! :)
You might be interested in
What is the range for a x intercept of (5,0) and a y intercept of (0,3)
Nastasia [14]

Answer:

(5,0)=x1,y1

(0,3)=x2,y2

so the range will be x1-x2/

3 0
3 years ago
Use the normal distribution of SAT critical reading scores for which the mean is 502 and the standard deviation is 116. Assume t
PSYCHO15rus [73]

Answer:

(a) 93.19%

(b) 267.3

Step-by-step explanation:

The population mean and standard deviation are given as 502 and 116 respectively.

Consider, <em>X</em> be the random variable that shows the SAT critical reading score is normally distributed.

(a) The percent of the SAT verbal scores are less than 675 can be calculated as:

P(X

Thus, the required percentage is 93.19%

(b)

The number of SAT verbal scores that are expected to be greater than 575 can be calculated as:

P(X>575)=P(\frac{x-502}{116}>\frac{575-502}{116}\\P(X>575)=P(Z>\frac{575-502}{116})\\P(X>575)=P(Z>0.6293)\\P(X>575)=0.2673

So,

Out of 1000 randomly selected SAT verbal scores, 1000(0.2673) = 267.3 are expected to have greater than 575.

8 0
2 years ago
Miguel is going for a walk. he takes 3 hours to walk 7.5 miles. what is his speed?
daser333 [38]
We have a ratio of 3 hours / 7.5 miles
We want to know how many miles he can walk in 1 hour so, divide both sides by 3 -> 1 hour / 2.5 miles
He is walking at 2.5 mph
7 0
3 years ago
Read 2 more answers
Help, i just need the answers and no need for explanations.
maria [59]

Answer:

The equation of the quadratic function shown is;

x^2+ 2x -3

Step-by-step explanation:

Here in this question, we need to know the quadratic equation whose graph was shown.

The key to answering this lies in knowing the roots of the equation.

The roots of the equation are the solution to the quadratic equation and can be seen from the graph at the point where the quadratic equation crosses the x-axis.

The graph crosses the x-axis at two points.

These are at the points x = -3 and x = 1

So what we have are;

x + 3 and x -1

Multiplying both will give us the quadratic equation we are looking for.

(x + 3)(x-1) = x(x -1) + 3(x-1)

= x^2 -x + 3x -3 = x^2 + 2x -3

3 0
3 years ago
Helpppp pleaseeee I need it tonight
snow_tiger [21]
What you want to first is substitute the numbers in for the variables in the equation

Since b= -5 , we will plug it in for -b

-5 + c = -13x

Now plug in -8 for c

-5 + (-8) = -13x

Add the numbers on the left side, which gives you -13.

-13 = -13x

Lastly, divide both sides by -13x, which will give you 1.

So x = 1
4 0
2 years ago
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