Can someone help me on this please

Answer:

see explanation

Step-by-step explanation:

Using the identities

cotA = [tex]\frac{1}{tanA}[/tex]

cot²A = cosec²A - 1

tan²A = sec²A - 1

Consider the left side

(cotA + tanA)² ← expand using FOIL

= cot²A + 2cotAtanA + tan²A

= cosec²A - 1 + 2 .[tex]\frac{1}{tanA}[/tex] . tanA + sec²A - 1

= cosec²A - 1 + 2 + sec²A - 1

= sec²A + cosec²A - 2 + 2

= sec²A + cosec²A

= right side, thus proven

Answer:

I think this is the ans

Step-by-step explanation:

ab+c=0

(p+q)(p-q)=0

p Square-q Square =0

0=p Square-q Square

Step-by-step explanation:

here's the answer to your question

Answer:

all I know is sin square A +cos square A =1

Answer:

Step-by-step explanation:

That 3 sitting outside there in that little "box" thing is a root/solution/zero of the polynomial. The numbers underneath the line are the coefficients of the depressed polynomial, which means that the polynomial is 1 degree lower than the degree with which we started. If we started with an x-squared, this degree is a single x, better known as linear (a line). Anyway, (x - 3) is a zero of the polynomial, which also means that it's a factor. So A applies. x = 3 is a root, so C applies. And F also because the depressed polynomial, the remainder, is 2x + 4.

Answer:

y = 1/2x - 3 (option - d)

Step-by-step explanation:

The lines are parallel if they have the same slope/gradient. So by comparing with y = mx + c (where 'm' is the slope and 'c' is the y-intercept).

Line y = 1/2 x - 6 has the slope m = 1/2

and the line in option 'd'

y = 1/2 x -3 has the slope m = 1/2

Slopes are equal and lines are parallel.

Thank-you.

#Muhib

Answer:

Choice D. [tex]F(x)=x^2-4[/tex]

Step-by-step explanation:

Answer:

B: 63

Step-by-step explanation:

Answer:

1.5×10^17

Step-by-step explanation:

it would be better to first multiply the two then divide the answer by 9.4×10^-3

I hope this helps

Answer:

32 paperback books

Step-by-step explanation:

Given that :

Width of hardcover books = 1 1/2 inches

Width of paperback books = 3/4 inches

Number of hardcover books already on shelf = 8

Total width of shelf = 3 feets

1 foot = 12 inches

Hence, total shelf width in inches = (12 * 3) = 36 inches

Total width of hardcover books = (8 * 1 1/2) = 12 inches

Total shelf width left = (36 - 12) inches = 24 inches

Maximum number of paperback books :

Total shelf width left / paperback width

24 inches / (3/4)inches = 32 paperback books

Answer:

x = 25

Step-by-step explanation:

When you combine both angles, you can get a supplementary angle which means that when they are both added, it should add up to be 180 degrees. With that being said, we can create an equation and solve for x.

5x - 5 + 2x + 10 = 180

~Combine like terms

7x + 5 = 180

~Subtract 5 to both sides

7x = 175

~Divide 7 to both sides

x = 25

Best of Luck!

Answer: x = 25

Step-by-Step Explanation:

We are given a line, hence it is a straight angle being 180°

Therefore,

=> 5x - 5 + 2x + 10 = 180

= 5x - 5 + 2x = 180 - 10 = 170

= 5x + 2x = 170 + 5 = 175

= 7x = 175

=> x = 175/7 = 25

Therefore, x = 25

Additionally, finding the values of each angle :-

=> 5x - 5

= 5(25) - 5

= 125 - 5

=> 120°

=> 2x + 10

= 2(25) + 10

= 50 + 10

=> 60°

Therefore, one angle is 120° and the other is 60°

Answer:

The answer is 3x=50-10y

Answer:

Step-by-step explanation:

Answer:

12500

Step-by-step explanation:

11830 - 10464 = 1366 (difference 1995 to 96)

10464 - 8958 = 1506 (94 to 95)

8958 - 8135 = 823

8135 - 7537 = 598

7537 - 6642 = 895

6642 - 5942 = 700

5942 - 3579 = 2363 (5 years)

so, we have the annual differences over 11 years.

the expectation for the following year would be based on the mean value of growth rate and not on the mean value of the absolute numbers, as we know the number of transactions for 1997 will be higher than for 1996.

so, the mean value of growth over these 11 years is 750.

so, based on this we would estimate for 1997

11830 + 750 = 12580 (12500 being the closest answer option).

but if the business environment has changed over the most recent years, we should not bring in earlier years into that calculation (or at least not with the same weight).

we could argue that the last 2 years had a totally different behavior than the years before.

so, just creating a mean value of the last 2 years' changes would be

(1366 + 1506) / 2 = 2872 / 2 = 1436.

now, or prediction would be

11830 + 1436 = 13266, which would be closer to the 13500 answer option.

Answer:

Actually the answer is "A"

this is a very strange way to present a problem...

this issue her is that [tex](x^{a}) ^{b} = x^{a*b}[/tex]

so you need 1/3 * 3 in the answer... none of them have 1/3 * 3

BUT !!!!! 1/3 + 1/3 + 1/3  is the same as  1/3 * 3 So "A" is the solution

Step-by-step explanation:

Answer:

 y = 2x²-11x +5    

Step-by-step explanation:

We know that a polynomial of degree n with roots (x-intercepts) {x₁, x₂, ..., xₙ} and a leading coefficient A can be written as:

p(x) = A×(x - x₁)×...×(x - x₂)

Here we will find:

P(x) = (x - 1/2)×(x - 5)

Let's see how we found that:

Here we know that is a parabola, so n = 2, and the x-intercepts are:

x₁ = 1/2

x₂ = 5

And we do not know the leading coefficient, so we can assume  A = 1.

Then the polynomial is just:

P(x) = (x - 1/2)×(x - 5)

The graph of this polynomial can be seen below.

If you want to learn more, you can read:

https://brainly.com/question/24371640

Answer:

a. the x intercept (9,0)

Answer:

C

Step-by-step explanation:

Note that x is opposite to the given angle and we are also given the hypotenuse.

Since we have an angle and the side opposite to it and the hypotenuse, we can use the sine ratio. Recall that:

[tex]\displaystyle \sin \theta =\frac{\text{opposite}}{\text{hypotenuse}}[/tex]

The opposite side is x, the hypotenuse is 15, and the angle is 53. Substitute:

[tex]\displaystyle \sin 53^\circ = \frac{x}{15}[/tex]

Solve for x:

[tex]x=15\sin 53^\circ[/tex]

Use a calculator (make sure you're in Degrees Mode!). Hence:

[tex]x=11.9795...\approx 12[/tex]

Our answer is C.

Answer:

C. 12

Step-by-step explanation:

Pythagoras Theorem

Answer:

27

Step-by-step explanation:

Hi there!

We are given this set of data:

22, 15, 31, 40, 27

And we want to find the average (or the mean) of the set

To find the mean, we add up all of the values of the data set and then divide it by how many pieces of data we have

So first, add 22, 15, 31, 40 and 27 together

22+15+31+40+27=135

We have 5 pieces of data, so divide 135 by 5

135/5=27

The mean is 27

Hope this helps!

[tex]\boxed{\large{\mathbf{\blue{ANSWER~:) }}}}[/tex]

we know that,

[tex]\boxed{\sf{mean=\dfrac{sum ~of~ data}{no~ of~ data } }}[/tex]

According to the question,

Therefore,

the average (mean) of the given set of data.(22,15,31,40,27) is 27.

Answer:

Remember that a triangle rectangle of length L and width W has an area:

A = W*L

In our rectangle, we have two sides along the x and y axes.

So one of the vertices of our triangle rectangle is the point (0, 0)

And the other vertex, is along the line:

y = -4x + 20

So, if the opposite vertex is at the point:

(x₁, y₁)

We can define the length as the difference between the x-values of each vertex.

L = (x₁ - 0) = x₁

And the width, similarly, as:

W = (y₁ - 0) = y₁

Such that the point (x₁, y₁) is a solution for the equation y = -4x + 20, then we have:

y₁ = -4x₁ + 20

Then we can rewrite the width as:

W = -4x₁ + 20

Now, we can write the area of our rectangle as:

A = (x₁)*(-4x₁ + 20)

A = -4*x₁^2 + 20*x₁

Now we want to maximize the area, notice that the area is given by a quadratic equation with a negative leading coefficient.

Thus, the maximum will be at the vertex of that quadratic equation.

Remember that for a general quadratic equation:

y = a*x^2 + b*x + c

The x-value of the vertex is:

x = -b/(2*a)

so, in our case, the x-value of the vertex will be:

x₁ = -20/(-4*2) = 20/8 = 5/2

Now we can evaluate this in our area equation:

A = -4*(5/2)^2 + 20*(5/2)  = 49.36

This is the maximum area of the rectangle.

Answer:

x = -6

Step-by-step explanation:

cube each side :

3x + 7 = 2x + 1

solve for x:

x = -6

Answers:

t is the number of seconds after the rocket is released

V(r) is the volume of the ball with radius r.

====================================================

Explanation:

There isn't much to say in terms of explanation. These variables are simply definitions.

Answer:

100

Step-by-step explanation:

0.2*500=100

Answer:

1 kg

Step-by-step explanation:

Number of chickadees = 100

Quantity of seed eaten = 100 kg

Number of days = 100

Quantity of seeds each chickadee eats per day =Number of chickadees ÷ Quantity of seed eaten ÷ Number of days

= 100 ÷ 100 ÷ 100

= 1 ÷ 100

= 0.01 kg of seed

How many kg of seeds can 10 chickadees eat in 10 days?

= Quantity of seeds each chickadee eats per day × number of chickadee × number of days

= 0.01 kg × 10 × 10

= 1 kg

10 chickadees eat 1 kg of seeds in 10 days

Answer:welcome

Step-by-step explanation: sorry I jsit really needed the points

Answer:

s4 = 270

18+36+72+144 = 270

-- convergent sums to a single value

Step-by-step explanation:

Step-by-step explanation:

To evaluate the proposed, the comprehension of linear data is required,

Slope: The rise/run or the accumulative unit distance between two differentiated points on a linear.

X-intercept: The peculiar point in which the observed linear data intersects the x-axis.

Y-intercept: The peculiar point in which the observed linear data intersects the y-axis.

1. To solve the following systems, first convert the Slope-Intercept formatting to Standard (General) form:

y = -5/3x + 3

3(Y = -5/3x + 3) Product by the denominator to eliminate the fraction.

3y = -5x + 9. Add 5x to the other expression as in standard form, the slope must be positive.

5x + 3y = 9 <== Standard (General) Form.

Y = 1/3x - 3

3(y = 1/3x - 3). Product by the denominator to eliminate the fraction.

3y = x - 9. Subtract by x to place the slope within the other expression of the equation.

-1(-x + 3y = -9). Now, product by -1 to contribute to a positive slope.

X - 3y = 9 <=== Standard (General) Form.

2. To solve for the x and y values, utilize the system of substitution:

1(5x + 3y = 9)Multiply equations by opposite slope to the other, and a positive to other.

-5(X - 3y = 9)

Evaluate,

+ 5x + 3y = 9. Now, add the systems.

-5x + 15y = -45

——————————

18y = -36

Y = -2

Thus, now that y is equated to -2, substitute that to either equation.

X - 3y = 9

X - 3(-2) = 9

X + 6 = 9

X = 3

Thus, x = 3, y = -2. This is their intersection point.

To plot these lines on the graph, execute the following,

Y = -5/3 x + 3

Start with the y-intercept. Draw a point on number 3 on the y-axis (vertical).

Starting with that point, go down 5 units, right 3 units.

* Remember, if there is a negative rise, go down. Positive, go up. If there is a negative run, go left. Positive, go right.

* Keep going 5 units down, right 3 units, until the graph allows.

2. Y = 1/3 x - 3

Similarly, conduct the same steps:

Starting with the y-intercept, draw a point on -3 on the vertical, or y-axis.

Beginning on that point, go up 1 unit, right 3 units.

Keep going up 1 units and 3 units right until the graph permits.

*I hope this helps.