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2 years ago

Which graph has a rate of change equal to in the interval between 0 and 3 on the x-axis?

Mathematics

1 answer:

Monica [59]2 years ago

6 0

Answer:

a, b c, or d

Step-by-step explanation:

It has to be one of those answers so you have a 25% chance of getting it right

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Sina×tga=1/2, cosa=?

ArbitrLikvidat [17]

Answer:

cos a = -1.28 and 0.78

Step-by-step explanation:

The question is not properly written. This is the correct question:

If sina×tan(a) = 1/2, find cosa

According to trigonometry identity;

tan a = sina/cosa

sina×tan(a) = sin a * sina/cosa

sin²a/cos a = 1/2

(1-cos²a)/cosa = 1/2

Cross multiply

2(1-cos²a) = cos a

2 - 2 cos²a = cos a

2cos²a + cos a - 2 = 0

Let P = cos a

2P² + P -2 = 0

P = -1 ±√1-4(2(2)/2(2)

P = -1 ±√1+16/4

P = -1 ±√17/4

P = -1±4.12/4

P = -1-4.12/4 and -1+4.12/4

P = -5.12/4 and 3.12/4

P = -1.28 and 0.78

Since P = cos a

Hence cos a = -1.28 and 0.78

7 0

3 years ago

You have two circles, one with radius r and the other with radius R. You wish for the difference in the areas of these two circl

gtnhenbr [62]

Answer:

maximum difference of radii = $(r-R)=\frac{1}{2\pi ^{2}}$

Step-by-step explanation:

We know that area of circle is given by

$A=\pi \times (radius)^{2}$

For circle with radius 'r' we have

$A_{1}=\pi \times (r)^{2}$

For circle with radius 'R' we have

$A_{2}=\pi \times (R)^{2}$

Now according to given condition we have

$A_{1}-A_{2}\leq \frac{5}{\pi }$

$\Rightarrow \pi r^{2}-\pi R^{2}\leq \frac{5}{\pi }\\\\\Rightarrow (r^{2}-R^{2})\leq \frac{5}{\pi ^{2}}\\\\(r+R)(r-R)\leq \frac{5}{\pi ^{2}}\\\\\because (a^{2}-b^{2})=(a+b)(a-b)\\\\(r+R)=10(Given)\\\\\Rightarrow(r-R)\leq \frac{5}{10\pi ^{2}}\\\\\therefore (r-R)\leq\frac{1}{2\pi ^{2}}$

Thus maximum difference of radii = $(r-R)=\frac{1}{2\pi ^{2}}$

6 0

4 years ago

Find an equation of the tangent to the curve at the point corresponding to the given value of the parameter. x=tcost, y=tsint, t

Umnica [9.8K]

Step-by-step explanation:

the answer is in the image above

4 0

3 years ago

Solve the following inequality –1 > –2(x – 4) – 5(4x – 7).

nataly862011 [7]

–1 > –2(x – 4) – 5(4x – 7)

distribute

-1> -2x+8-20x+35

combine like terms

-1> -22x+43

subtract 43 from each side

-44> -22x

divide by -22 (remember to flip the inequality symbol)

2<x

6 0

4 years ago

What is the value of x? Enter your answer in the box.

Fed [463]

All you have to do is add those two numbers given and subtract by 180. all of the angles shall add up to 180 if not then you dic something wrong

5 0

4 years ago