All categories

3 years ago

Sin400° = _____ -sin40° sin40° sin(-40)°

Mathematics

1 answer:

Anna11 [10]3 years ago

3 0

Answer:

Sin 400° = Sin 40°

Step-by-step explanation:

We have to find the value of the trigonometric function Sin 400°

Here,

Sin 400° = Sin (360° + 40°)

The picture shown below shows that in 1st quadrant All trigonometric functions( Sin, Cos, Tan, Cosec, Sec, Cot ) are positive.

And Sin(360° + Ф°) = Sin ( Ф°)

= Sin ( 40°)

Therefore, Sin 400° = Sin 40°

You might be interested in

A bird drops a stick from the top of Miami Tower. The height of the stick after x seconds is given by f(x) = 625 - 16x^2.

Leni [432]

ANSWER

The maximum value is 625

EXPLANATION

The height of the stick that the bird dropped is modeled by the function;

$f(x) = 625 - 16x^2$

This function is already in the vertex form.

Let me rewrite it clearly for you to see.

$f(x) = - 16(x - 0)^2 + 625$

When we compare this to;

$f(x)=a(x-h)^2+k$

we have h=0 and k=625.

k=625 is the y-value of the vertex.

This is the maximum value on the graph of this function.

3 0

3 years ago

Find the length of the diagonal AD in the pentagon ABCDE shown in the coordinate plane.

Xelga [282]

Answer:

$\sqrt{73}$ units.

Therefore, Option C is correct.

Step-by-step explanation:

We have given a pentagon ABCDE

We need to calculate its length

That means we have to find the distance of AD

So, coordinates of A(1,6) and D(4,-2)

Using distance formula:

$\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Here, $x_1=1,y_1=6,x_2=4,y_2=-2$

On substituting the values we will get:

$\sqrt{(4-1)^2+(-2-6)^2}$

On simplification:

$\sqrt{3^2+(-8)^2}$

$\sqrt{9+64}$

$\sqrt{73}$ .

Hence, the length of AD is $\sqrt{73}$ units.

Therefore, Option C is correct.

6 0

4 years ago

Determine the value of the ?

goblinko [34]

Answer:

$x^{2} y^{3}$

Step-by-step explanation:

Using the Quotient rule:

$\frac{a^{m}}{a^{n}} = a^{m - n}$

We can subtract the exponents of x and y:

$\frac{x^{6} y^{10}}{x^{4} y^{7}} = x^{(6 - 4)} y^{(10 - 7)}$

Therefore, $\frac{x^{6} y^{10}}{x^{4} y^{7}} = x^{2} y^{3}$

Please mark my answers as the Brainliest if you find this explanation helpful :)

5 0

2 years ago

Giving 25 points for whoever answers it with a complete explanation .. ASAP

MAXImum [283]

No, it is not a function.
Since all the lines have been drawn in the grid line do not have any connection between them even a point in common.
I hope this has been useful for you.

8 0

3 years ago

Read 2 more answers

A=4ℼR2 solve for R SHOW ALL STEPSSSSSSSSSSSSS

GuDViN [60]

Given problem;

A = 4 π R²

To solve for R, we have to make it the subject of the expression.

Since

A = 4 π R² , follow these steps to find R;

Multiply both sides by $\frac{1}{4\pi }$

A x $\frac{1}{4\pi }$ = $\frac{1}{4\pi }$ x 4 π R²

$\frac{A}{4\pi }$ = R²

Then find the square root of both sides

√R² = $\sqrt{\frac{A}{4\pi } }$

R = $\sqrt{\frac{A}{4\pi } }$

The solution is $\sqrt{\frac{A}{4\pi } }$

3 0

3 years ago