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I am Lyosha [343]
3 years ago
8

Derivative of tan pi x = ?

Mathematics
1 answer:
vladimir1956 [14]3 years ago
6 0
We are asked in this problem to evaluate the derivative of tan pi x. To answer this, we use the trigonometric rule in differential calculus where the derivative of tan x is equal to sec^2 x. hence the answer is pi sec^2 pi x  
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What is the area of the figure below please explain!
jeyben [28]

I don't know the area of a parallelogram off the top of my head but you can use the area of the rectangle and the area of the triangle and add those. The area of the triangle is 1/2*base*height and use the pythagorean theorem to find the base. 3² + b² = 5²; 9 + b² = 25; b² = 16; b = 4. The area of the triangle is 1/2*4*3 or 6 in. Since there are two of them, the total area of the triangles are 12 in. The area of the rectangle is length*width or (12 - 4) * 3 which is 8 * 3 or 24in. Add these areas together to get 36in total

4 0
4 years ago
A triangle has an angle that measures 80°. The other two angles are in a ratio of 7:13. What are the measures of those two angle
kap26 [50]
The angles are B and C.


The three angles add up to 180º
A=80º
B
C

A+B+C=180º
80º+B+C=180º
B+C=180º-80º
B+C=100º  (1)

The ratio between A and B is 7/13 ; therefore:
B/C=7/13  ⇒B=7C/13    (2)

With the equations (1) and (2), we make a system of equations:

B+C=100
B=7C/13

We can solve this system of equations by substitution method:
7C/13  + C=100
least common multiple=13
7C+13C=1300
20C=1300
C=1300/20
C=65

B=7C/13
B=7*65/13
B=455/13
B=35º

Answer: The measures of those two angles are 65º and 35º.
6 0
3 years ago
Which is the BEST estimate for the correlation coefficient of the scatterplot shown?
slavikrds [6]
R= -0.1 is the answer. I’m pretty sure!
6 0
3 years ago
Mr. Smith's wife works at an animal hospital. There is a equivalent fraction relationship between the number of dogs and cats in
dimulka [17.4K]

Answer:

There are 10 dogs in the kennels

Step-by-step explanation:

The equivalent fraction relationship between the number of dogs and cats in the kennels is 1/2.

Which means, if n_d the number of dods and n_c is the number of cats, then,

\frac {n_d}{n_c}=\frac{1}{2}\cdots(i)

Given that there are 20 cats, so n_c=20.

Now, from equation (i) we have,

\frac {n_d}{20}=\frac{1}{2}

\Rightarrow n_d=\frac{1}{2}\times 20

\Rightarrow n_d= 10.

Hence, there are 10 dogs in the kennels.

7 0
3 years ago
A student writes an incorrect step while checking if the sum of the measures of the two remote interior angles of triangle ABC b
g100num [7]

Answer:

Step 1; it should be m∠x + m∠y + m∠z = 180 degrees (sum of angles of a triangle)

Step-by-step explanation:

The answer is self-explanatory. The sum of interior angles of a triangle is 180°.

5 0
3 years ago
Read 2 more answers
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