prove these identities
(i) secx cosecx - cotx = tanx
​

In this shape, the value for x is equal to 8 in.

There are different types of quadrilaterals, for example: square, rectangle, rhombus and trapezoid.  Each type is defined accordingly to its length of sides and angles. For example, the rhombus has diagonals bisect each other at 90°.

Here you can use the area of the rhombus that is:  [tex]A_{rhombus}=\frac{d1*d2}{2}[/tex], where:

d1 = length of diagonal 1

d2 = length of diagonal 2

Applying the previous formula, you will have:

                             [tex]A_{rhombus}=\frac{d1*d2}{2}\\ \\ 60=\frac{15x}{2}\\ \\ 120=15c\\ \\ x=\frac{120}{15}\\ \\ x=8[/tex]

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Answer:

8 inches

Step-by-step explanation:

Answer:

1.4 x 10^8

Step-by-step explanation:

Answer:

120%

Step-by-step explanation:

p = (24/20) 100

p = 1.2 x 100

p = 120

Answer:

-4,747

Step-by-step explanation:

PEMDAS (1. parentheses, 2. exponents, 3. multiplication, 4. division, 5. addition, and 6. subtraction)

Parentheses: NONE

Exponents: NONE

Multiplication: 5446 x 435 = 2,369,010

Division: 2,369,010 / 890 = 2661.80899 (rounding too 2662)

Addition: 2662 + 246 = 2908

Subtraction: 2908 - 7655 = -4,747

Answer:

b

Step-by-step explanation:

18/38 = 47.36%=47% rounding down

Step-by-step explanation:

l = length

w = width

l/w = 5/2

l = 5w/2

l×w = 1000ft²

(5w/2)×w = 1000

5w²/2 = 1000

5w² = 2000

w² = 400

w = 20ft

l = 5w/2 = 5×20/2 = 5×10 = 50ft

the length is 50ft.

the width is 20ft.

Step-by-step explanation:

given distance belongs to family figures

Answer:

x = 15

Step-by-step explanation:

Answer:

(1, -4)

Step-by-step explanation:

To turn a figure or point 90° counterclockwise around the origin, you do: (x, y) -> (-y, x).

We are given point T as (-4, -1).

Therefore, the answer is (1, -4).

Answer:

No . C = COEFFICIENT IS THE ANSWER OF THE QUESTION

Remember the triangle formula

[tex]\frac{bh}{2}[/tex]

8*6/2 = 24

Answer:

24 sq. inch.

Step-by-step explanation:

Pretend the triangle is a square. The area would be 48 sq. inch. right? Well all you have to do now is 48/2=24.

Step-by-step explanation:

this is unclear.

did this mean the left and the right sides are the same length (and parallel)?

it seems then they are 2 congruent triangles and the whole shape a parallelogram.

remember, the sum of all 3 angles in any triangle is always 180°.

so,

angle 1 = 180 - 70 - 60 = 50°

the congruence principle then makes angle 3 = angle 1 = 50°.

and then angle 2 must be 70°, as 70° + angle 3 = angle 1 + angle 2.

if I misunderstood, then angle 3 and then angle 2 can't be determined.

Answer:

1/4

Step-by-step explanation:

As you see the Total Number of Events = 12

To get a Head Followed by Even Number can be done if

(H2 or H4 or H6) happened which is 3 Possible Ways

So P(Head followed by even number ) = 3/12 = 1/4

Answer:

it looks like an exponential regression model because the plots seem to be curving down to the right

Answer:

exponential

just did it rn trust me

6.3.3

Step-by-step explanation:

Answer:

593.76

Step-by-step explanation:

Round, 1 is smaller that 5, stays the same.

Answer:

600

Step-by-step explanation:

5 is the digit in the hundred place

Look at the number on the right. Since 9 is bigger than 5, you are going to round up. So you have 600

Answer:

No it will not form a right triangle it will form a SSS triangle

Step-by-step explanation:

The sum of the lengths of any two sides of a triangle must be greater than the length of the third side but if you used 7 9 and 11 it would give you a SSS triangle.

The trajectory of your message illustrates a quadratic function

The equation of the trajectory of the message is [tex]y = -\frac 15(x - 17)^2 + 20[/tex]

The trajectory graph (see attachment) is a quadratic function that passes through the following points:

(x,y) = (7,0) and (27,0)

And the vertex is:

(h,b) = (17,20)

A quadratic function is represented as:

[tex]y = a(x - h)^2 + b[/tex]

So, we have:

[tex]y = a(x - 17)^2 + 20[/tex]

Substitute (7,0) for (x,y)

[tex]0 = a(7 - 17)^2 + 20[/tex]

Evaluate

[tex]0 = 100a + 20[/tex]

Collect like terms

[tex]100a = -20[/tex]

Divide both sides by 100

[tex]a = -\frac 15[/tex]

Recall that:

[tex]y = a(x - 17)^2 + 20[/tex]

So, we have:

[tex]y = -\frac 15(x - 17)^2 + 20[/tex]

Hence, the equation of the trajectory of the message is [tex]y = -\frac 15(x - 17)^2 + 20[/tex]

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Answer: The answer is 15.

Step-by-step explanation:

In the question, we are informed:

2 1/2 cups sugar for the cake and 1 1/4 cup sugar for the vanilla icing are called for in Mr. Smith's recipe.

1st step

We total the amount of sugar he'll require.

1 1/4 + 2 1/2

(1/2 + 1/4) + (2 + 1)

= 3 + (2 Plus a quarter)

a total of 3 3/4 cups of sugar

2nd Step

How many 1/4 cup sugar scoops does he require?

This can be calculated as follows:

1/4 cup sugar 3 3/4 cup sugar

= 15/4 x 1/4 = 15/4 x 1/4 = 15/4 x 1/4 =

= 15/4/4 = 15/4/4 = 15/4/4 = 15/4/4 = 15/4

15 

As a result, he'll require 15, 1/4 cup sugar scoops.

Answer:

No

Step-by-step explanation:

can 24 be divisible by 5296

5296/24 = 220.67

So, the answer is no.

Answer:

A)21

Step-by-step explanation:

Make them equal to each other, since they're congruent:

6x+2=128

Subtract 2 from both sides to get the x-term alone:

6x=126

Divide both sides by 6 to get x alone:

x=21

Answer:

3/4

Step-by-step explanation:

there is no y intercept but it is 3/4 when you simplify

Answer:

40

Step-by-step explanation:

correct on edge

Answer:

I got you again bro

Step-by-step explanation:

10x-20=7x+4

10x=7x+24

3x=24

x=8

Top angle=10(8)-20=60

Bottom angle=7(8)+4=60

Note:They should equal each other

Solution:

It should be noted:

Finding the quotient.

Multiplying both terms.

Simplifying the fraction

Converting the fraction into mixed fraction

Option D is correct.

Answer:

[tex]\sf 1\dfrac{1}{3}[/tex]

Explanation:

[tex]\hookrightarrow \sf \dfrac{-4}{9} / \dfrac{-1}{3}[/tex]

manipulate sides by changing signs

[tex]\hookrightarrow \sf\dfrac{-4}{9} *\dfrac{3}{-1}[/tex]

simplify by multiplication

[tex]\hookrightarrow \sf \dfrac{-12}{-9}[/tex]

the negatives cancels out

[tex]\hookrightarrow \sf \dfrac{12}{9}[/tex]

simplify

[tex]\hookrightarrow \sf \dfrac{4}{3}[/tex]

turn this into mixed fraction

[tex]\hookrightarrow \sf 1\dfrac{1}{3}[/tex]

The zeros of the quadratic function f(x) = 2x² + 8x – 3 is x = -2 - √11/4 and x = -2 + √11/4

A quadratic function is in the form:

y = ax² + bx + c

Given that:

f(x) = 2x² + 8x - 3, hence:

The zero is at:

2x² + 8x - 3 = 0

2x² + 8x = 3

Dividing through by 2:

x² + 4x = 3/2

add to both sides 4:

(x + 2)² = 3/2 + 4

(x + 2)² = 11/4

x + 2 = ±√11/4

x = -2 ±√11/4

The zeros of the quadratic function f(x) = 2x² + 8x – 3 is x = -2 - √11/4 and x = -2 + √11/4

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Answer:

x = [tex]x=-2-\frac{11}{2}[/tex]   and   [tex]x=-2+\frac{11}{2}[/tex]

Step-by-step explanation:

I got it right on edge

The probability for a person to receive the newspaper at least one day per week is 83 %. Then the correct option is D.

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.

A local newspaper compiles data on the number of days, X, people in a neighborhood receive the newspaper.

The table will be

  X               P(X)

  0               0.17

  1                0.16

  2               0.14

  5               0.12

  7               0.41

We are asked the probability for a person to receive the newspaper at least one day per week. Then the probability will be

Probability = 0.16 + 0.14 + 0.12 + 0.41

Probability = 0.83

Probability = 83 %

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Answer: D

Step-by-step explanation:

The cost of the rectangular deck is: $0.08 per square foot.

Area of rectangular shape = length × width

The deck is rectangular.

Thus:

Cost of the deck per square foot = area of rectangular deck/total cost of deck.

Area of rectangular deck = 8.25 × 12.5 = 103.125

Cost of the deck per square foot = 103.125/1,270 = 0.08

Therefore, the cost of the rectangular deck is: $0.08 per square foot.

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Check the picture below.

[tex]\stackrel{\textit{\Large Areas}}{\stackrel{triangle}{\cfrac{1}{2}(9)(6)}~~ + ~~\stackrel{rectangle}{(2)(9)}}\implies 27~~ + ~~18\implies 45[/tex]

Answer:

16.8

Step-by-step explanation:

The scale factor is a ratio. The surface area of the real ramp is 16.80 ft².

The ratio between comparable measurements of an item and a representation of that thing is known as a scale factor in arithmetic.

As we know that the height of the real ramp is 1.2 feet, while the height of the drawing is 6 cm, therefore, the scale factor can be written as,

[tex]\rm Scale\ factor = \dfrac{\text{Area of Image}}{\text{Area of pre-image}}=\dfrac{1.2 \ feet}{6\ cm} = 0.2[/tex]

Now, the area of the pre-image can be written as,

[tex]\rm \text{Area of pre-image} = 2triangles+ 2 rectangle + 1 rectangle\ at\ base[/tex]

                             [tex]= 2(0.5 \times 6 \times 16) + 2(10 \times 9) + (16 \times 9)\\\\= 2(48)+2(90)+144\\\\= 96 + 180 + 144\\\\ = 420\ cm^2[/tex]

Further, the area of the actual ramp can be written as,

[tex]{\text{Area of pre-image}} \times \rm Scale\ factor = \text{Area of Image}\\\\ \text{Area of Image}= 420 \times (0.2)^2 \\\\ \text{Area of Image}= 16.8\ ft^2[/tex]

Hence, the surface area of the real ramp is 16.80 ft².

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Answer:

c) time using table; cost

Step-by-step explanation:

An independent quantity is the variable that can be controlled and changed. A dependent quantity is not controlled and is based on the changes to the independent quantity.

First, decide which quantity can be controlled. In this situation, the player gets to choose the amount of time for which they play. This means that the time using the table must be the independent quantity because it is controlled by the player.

The cost cannot be controlled. It is solely based on the amount of time played. This means that the cost is the dependent quantity in this situation.

Answer:

4b² - 16

Step-by-step explanation:

The formula to find the area of a parallelogram equals [tex]bh[/tex], where b = base and h - height. We're given the base as 2b + 4 and the height as 2b - 4.

Therefore, the answer is 4b² - 16.