Anyone know? I don’t really get it..

Answer:

cos2t/cos²t

Step-by-step explanation:

Here the given trigonometric expression to us is ,

[tex]\longrightarrow \dfrac{cos^4t - sin^4t }{cos^2t } [/tex]

We can write the numerator as ,

[tex]\longrightarrow \dfrac{ (cos^2t)^2-(sin^2t)^2}{cos^2t } [/tex]

Recall the identity ,

[tex]\longrightarrow (a-b)(a+b)=a^2-b^2[/tex]

Using this we have ,

[tex]\longrightarrow \dfrac{(cos^2t + sin^2t)(cos^2t-sin^2t)}{cos^2t}[/tex]

Again , as we know that ,

[tex]\longrightarrow sin^2\phi + cos^2\phi = 1 [/tex]

Therefore we can rewrite it as ,

[tex]\longrightarrow \dfrac{1(cos^2t - sin^2t)}{cos^2t}[/tex]

Again using the first identity mentioned above ,

[tex]\longrightarrow \underline{\underline{\dfrac{(cost + sint )(cost - sint)}{cos^2t}}}[/tex]

Or else we can also write it using ,

[tex]\longrightarrow cos2\phi = cos^2\phi - sin^2\phi [/tex]

Therefore ,

[tex]\longrightarrow \underline{\underline{\dfrac{cos2t}{cos^2t}}}[/tex]

And we are done !

[tex]\rule{200}{4}[/tex]

Additional info :-

Derivation of cos²x - sin²x = cos2x :-

We can rewrite cos 2x as ,

[tex]\longrightarrow cos(x + x ) [/tex]

As we know that ,

[tex]\longrightarrow cos(y + z )= cosy.cosz - siny.sinz [/tex]

So that ,

[tex]\longrightarrow cos(x+x) = cos(x).cos(x) - sin(x)sin(x) [/tex]

On simplifying,

[tex]\longrightarrow cos(x+x) = cos^2x - sin^2x [/tex]

Hence,

[tex]\longrightarrow\underline{\underline{cos (2x) = cos^2x - sin^2x }} [/tex]

[tex]\rule{200}{4}[/tex]

Answer:

(4,10)

Step-by-step explanation:

If its reflected over the x axis it goes from -4,-10 to 4,10

Answer:

[tex]x=6[/tex]

Step-by-step explanation:

Pythagorean Theorem: [tex]AC^2+BC^2=AB^2[/tex]

BC= x

AB= 10 cm

AC= 8 cm

~

Now, Substitute

[tex]8^2+x^2=10^2[/tex]

[tex]64+x^2=100[/tex]

[tex]100-64=x[/tex]

[tex]\sqrt{36}=x^2[/tex]

Square root x^2= x, √(36)=6

[tex]x=6[/tex]

Therefore, the length of x = 6

~

Answer:The correct answer is:

90 feet.

Explanation:

Each wire forms a right triangle with the tree and the ground. The height from the ground to the point on the tree the wire is attached to, 3 feet, is one leg. The length from the tree to where the wire is staked in the ground, 4 feet, is the other leg.

We use the Pythagorean theorem to find the hypotenuse: 3²+4²=c²; 9+16=c²; 25=c²; √25=√(c²); 5=c

This means each wire will be 5 feet long. There are 3 wires per tree, which gives us 5*3 = 15 feet. There are 6 tree, so this is 15*6 = 90 feet of wire.

Step-by-step explanation:

Answer:

4960

Step-by-step explanation:

6.2 cal = 4mph

1 cal = 6.2 * 4 = 24.8mph

200 cal = 24.8 * 200 = 4960mph

Do mark BRAINLIEST

Answer: 1 lima bean, 2 red beans, 3 black-eyed peas

Step-by-step explanation:

If 1/6 of the beans are lima beans, then there are 6 * 1/6 lima beans in the salad. 6 * 1/6 = 6/6 = 1.

If 1/3 of the beans are red beans, then there are 6 * 1/3 red beans in the salad. 6 * 1/3 = 6/3 = 2.

If 1/2 of the beans are black-eyed peas, then there are 6 * 1/2 black-eyed peas in the salad. 6 * 1/2 = 6/2 = 3.

Answer:

Lima Beans: 6 x [tex]\frac{1}{6}[/tex] = 1

Red Beans: [tex]\frac{1}{3}[/tex] x 6 = 2

Black Eyed-Peas: [tex]\frac{1}{2}[/tex] x 6 = 3

Hope this helps!

Answer:

D

Step-by-step explanation:

it is conditional statement because it starts with if and after the comma it starts with then

Answer: D

Step-by-step explanation: the correct answer.

Yes, the samples are likely to be representative of all teachers and non-teachers in the state.

The median, in similarity with the mean is a statistical measure of central tendency.

Since, the double box-and-whisker plot shows the distribution of sample medians, it follows that the samples are likely to be representative of all teachers and non-teachers.

Read more on central tendency measure;

https://brainly.com/question/17726154

Answer:

[tex]1\frac{2}{3}[/tex]

Step-by-step explanation:

INFORMATION/REMINDS ALREADY KNOWN:

We need to find the whole number first, which we accomplish by dividing the numerator by the denominator. We ignore any digits to the right of the decimal point since we are only interested in whole numbers.

[tex]35/21= 1.6666666666667 = 1[/tex]

Now that we have our whole number for the mixed fraction, we need to find our new numerator for the fraction part of the mixed number.

We'll use the whole number we calculated in step one (1) and multiply it by the original denominator to figure this out (21). The numerator is then subtracted from the result of that multiplication:

[tex]35 - (21 * 1) = 14[/tex]

We've now simplified 35/21 to a mixed number. To see it, we just need to put the whole number together with our new numerator and original denominator:

[tex]1\frac{14}{21}[/tex]

Our fraction (14/21) can be simplified even more in this example. To do so, we must determine the GCF (greatest common factor) of those two numbers. If you want to do it yourself, you can use our handy GCF calculator. We've done it earlier, and the GCF of 14 and 21 equals 7.

We can now divide both the new numerator and the denominator by 7 to simplify this fraction down to its lowest terms.

[tex]\frac{14}{7} = 2\\\frac{21}{7} = 3[/tex]

When we put that together, we can see that our complete answer is:\

[tex]1\frac{2}{3}[/tex]

Answer:

B

Step-by-step explanation:

I got it right on the assignment

Hope this helps :)

Answer:

B. A web diagram shows what connects these different types of doctors.

Step-by-step explanation:

Answer:

π(12.1)²

Step-by-step explanation:

12.1 is the radius

Formula for base = πr²

= π(12.1)²

Answer:

2 Paul's Survey sample only included tenth graders

Step-by-step explanation:

The reson why this is your answer is simple

Because this is true, he ONLY surveyed tenth-graders. He should have found for all of the students, including the other 1,100 students that didn't get surveyed.

Thanks!

Answer:

[tex](\frac{3}{8} )^{-2} (\frac{1}{3}* \frac{3}{8})^3 ( \frac{1}{3} )^4[/tex]

[tex](\frac{3^-2}{8^-2} ) (\frac{1^3}{3^3}* \frac{3^3}{8^3}) ( \frac{1^4}{3^4} )[/tex]

[tex](\frac{64}{9} ) (\frac{1}{27}* \frac{27}{512}) ( \frac{1}{81} )[/tex]

[tex](\frac{64}{9} ) (\frac{1}{512}) ( \frac{1}{81} )[/tex]

Simplifies to= [tex]\frac{1}{5832}[/tex]

Answer:

you dont have to answer hte tutorials jus submit it they dont see it uwu

Step-by-step explanation:

Answer:

-3,-2,4,6,13

Step-by-step explanation:

put them in order of increment

Answer:

the answer you are looking for is C

Answer:

Its A

Step-by-step explanation:

Missing: 65134, ‎703146, ‎135426, ‎510, ‎400510, ‎400

We will use graphical method to solve it.

The inequalities are

Graph both

We can see that the solution region is rightwards

The solution is (1.2,0.8)

Option D as the intersection point is ahead 1 unlike option A

Answer:

Given system of inequalities:

[tex]\large\begin{cases}y < \frac{2}{3}x\\y\geq-x+2\end{cases}[/tex]

When graphing inequalities:

[tex]y < \dfrac{2}{3}x[/tex]

The slope of the first inequality is 2/3, therefore at x = 1, y = 2/3.

So the correct line for the first inequality is the dotted line with the shallower slope.

As the relation is < for this inequality, the shading should be below the dotted line.

[tex]y\geq-x+2[/tex]

From inspection of the given graphs, the line of the second inequality (solid line) is the same in all graphs.

As the relation is ≥ for this inequality, the shading should be above the solid line.

Therefore, the only graph that satisfies these conclusions is graph D (attached).

Answer:

Multiply length by width to get area.

Step-by-step explanation:

Answer:

157.741

Step-by-step explanation:

3000=800 ( 1 + 0.05)^t

-800

2200=1.05^t

log(1.05)2200=t

log2200/log1.05

t=157.7...

Knowing the angles are equal, the value for y is 40.

The angle bisector is the line segment that divides the angle into two equal angles.

Thus, if OF is the angle bisector for EOG, the angles EOF and FOG are equal.

For finding y, you can write:

EOG=FOG

y+30=3y-50

y-3y=-50-30

-2y=-80

y=80/2

y=40

Read more about the angle bisector here:

https://brainly.com/question/24677341

Answer:

5x=50

Step-by-step explanation:

Divide 50 by 5x so you get x = 10 (or just do basic multiplication)

Answer:

x bigger than or equals to 21

Step-by-step explanation:

[tex] \frac{x}{3} + 7 \geqslant 14[/tex]

[tex] \frac{x}{3} \geqslant 7[/tex]

[tex]x \geqslant 21[/tex]

Step-by-step explanation:

oh, come on !

we have a point on the curve : (3, -2)

we simply put the values in and calculate the missing factor of x² :

-2 = f × 3² = f × 9

f = -2/9

y = -2/9 x² = -0.222222222... x²

When we are finding f(x) given a value of x, we must identify the value of y that results from the value of x.

We are asked to find f(2).

On the graph, first find the location of x=2.

Then, identify where the function is at x=2.

Finally, identify the corresponding y-value: 12.

The value of f(2) is 12.

Answer:

where is circle pls send picture of circle

Step-by-step explanation:

Answer:

Look at the attachment

So triangle is isosceles

Answer:

he has 1/2 of a chance to get tan pants and 1/4 of a chance to get a white shirt.

Step-by-step explanation:

hope that helps, mr cleann

Answer: 1/8

Step-by-step explanation:

(W) white (B) black (R) red (BL) blue   (BP) blue pants (TP) tan pants

                       |-------------(B)

                       |-------------(W)

(TP)------------- |-------------(R)

|                       |-------------(BL)

|                      |--------------(B)

|                      |--------------(W)

(BP)-------------|--------------(R)

                      |--------------(BL)

From the tree diagram, a white shirt with tan pants is one out of eight possible outcomes, so the probability of getting tan pants and a white shirt is 1/8.

Answer:

(3x-7)(3x+7)

Step-by-step explanation:

3^2 * x^2 -7^2 (expand that out)

(3x)^2 - 7^2

(3x-7)*(3x+7)

Answer:

(3x+7)(3x-7)

Step-by-step explanation:

Applying the Difference of Two Squares(D.O.T.S) formula:

[tex]x^{2} -y^{2} =(x+y)(x-y)[/tex]

9x²= (3x)²

49=7²

Put 3x as x and 7 as y into the D.O.T.S formula:

(3x+7)(3x-7)

Mark as Brainliest please

Answer:

17

Step-by-step explanation:

you can use SAS to prove two triangles are congruent

Then by CPCTC PS = RS so b is also 17