8. Which measurement is the area of the shaded part of the figure? 15 cm A. 99 cm C. 224 cm? B. 128 cm? D. 256 cm​

Given:

Consider the given statement is

[tex]\sqrt{\sec^2\theta+\text{cosec}^2\theta}=\tan \theta+\cot \theta[/tex]

To prove:

The given statement.

Solution:

We have,

[tex]\sqrt{\sec^2\theta+\text{cosec}^2\theta}=\tan \theta+\cot \theta[/tex]

Taking LHS, we get

[tex]LHS=\sqrt{\sec^2\theta+\text{cosec}^2\theta}[/tex]

[tex]LHS=\sqrt{\dfrac{1}{\cos^2\theta}+\dfrac{1}{\sin^2\theta}}[/tex]

[tex]LHS=\sqrt{\dfrac{\sin^2\theta+\cos^2\theta}{\sin^2\theta\cos^2\theta}}[/tex]

[tex]LHS=\sqrt{\dfrac{1}{\sin^2\theta\cos^2\theta}}[/tex]            [tex][\because \sin^2\theta+\cos^2\theta=1][/tex]

[tex]LHS=\dfrac{1}{\sin\theta\cos\theta}[/tex]

[tex]LHS=\dfrac{\sin^2\theta+\cos^2\theta}{\sin\theta\cos\theta}[/tex]            [tex][\because \sin^2\theta+\cos^2\theta=1][/tex]

[tex]LHS=\dfrac{\sin^2\theta}{\sin\theta\cos\theta}+\dfrac{\cos^2\theta}{\sin\theta\cos\theta}[/tex]

[tex]LHS=\dfrac{\sin\theta}{\cos\theta}+\dfrac{\cos\theta}{\sin\theta}[/tex]

[tex]LHS=\tan \theta+\cot \theta[/tex]

[tex]LHS=RHS[/tex]

Hence proved.

Answer:

-1

Step-by-step explanation:

mn = -3 because 3 × -1 = -3

p^2 = 4 because 2^2 = 4

Then 4 + -3 = -1

Answer:

I have attached a picture of me solving the equation. If you have any questions I am here to help. Hope this helps, thank you :) !!

Answer:

90 ounce in regular size

Step-by-step explanation:

The number of ounces of the detergent are in the regular size is 90 ounces.

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

We need to Write the percent as a fraction in simplest form

16.24%

So, we can rewrite it as;

16.24 / 100

16 and 24/100 or 16 6/25

So the percent as a fraction is 16 6/25

We are given that;

Percentage of detergent=60%

Number of ounces= 144

Now,

To find how many ounces of detergent are in the regular size, we need to use the information that the supersized has 60% more detergent than the regular size. This means that if we let x be the number of ounces in the regular size, then 144 is equal to x plus 60% of x. We can write this as an equation:

144 = x + 0.6x

To solve for x, we need to combine like terms and isolate x on one side of the equation:

144 = 1.6x x = 144/1.6 x = 90

Therefore, by the given percentage the answer will be 90 ounces.

Learn more about percent here:

https://brainly.com/question/11549320

#SPJ2

Answer:

2rs

Step-by-step explanation:

simplify- 2*7r^2s^2/7rs

r^2 divided by r^1=r^(2-1)=r^1=r

s^2 divided by s^1=s^(2-1)=s^1=s

canceling out 7 as it appears on both sides of the fraction line

Answer:

(2, -6)

Step-by-step explanation:

(2,-6) because that's the middle of you count.

Answer:

2nd linear equation represents the graph

Step-by-step explanation:

Answer: C

Step-by-step explanation:

Answer:

The second answer is correct

Answer:

A) 8

Step-by-step explanation:

Answer:

P(vowel) = [tex]\frac{1}{4}[/tex]

Choosing one letter at random is a simple event.​

Step-by-step explanation:

P(vowel) =  [tex]\frac{1}{4}[/tex]

This is because there are 2 vowels so the probability [tex]\frac{2}{8}[/tex] is  which can be simplified to [tex]\frac{1}{4}[/tex] .

Moreover, Choosing one letter at random is a simple event.

The definition of a simple event is one that can only happen in one way, or in other words, it has a single outcome.

Malik's probability of drawing one letter at random is 1/4.

Find out more about the probability here:

brainly.com/question/11234923

Answer:

looooook ittttt uppppppps bwbebee

Step-by-step explanation:

bagsywbwbebne

e

e

e

e

e

e

e

ejdjdndndeebbebe

Answer: 50 or 25

Step-by-step explanation:

i apologize if i am wrong

Answer:

no solution

Step-by-step explanation:

Given

- 2(v - 2) = - 3 - 2v ← distribute left side

- 2v + 4 = - 3 - 2v ( subtract 4 from both sides )

- 2v = - 7 - 2v ( add 2v to both sides )

0 = - 7 ← not possible

This indicates the equation has no solution

Answer:

y=-4

Step-by-step explanation:

24y=-6

24y/24y=24y/-6

y=-4

Answer:

B

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

She Has To Work For Around 23 Hours.

How I Found The Answer:

10 x 23 = 230 Dollars

230 + 25 = 255 Dollars

Answer:

20 x 0.65 = 13

20 + 13 = 33

20 x 65/100 = 13

Answer:

variety of coloured 'hoodies to sell. Each hoodie costs the stall holder $20 and she intends to sell them to the public at a mark up of 65% write the percentage mark up value as: 1) fraction in simplest form ... an acute angle lies in the range. 0 \leqslant \theta ... an angle that measures 65° i

Step-by-step explanation:

Answer:

A, C and D

Step-by-step explanation:

both A, C and D are both porportions because they both equal the other fraction.

Answer:

1, 3, 4

Step-by-step explanation:

i had this on my test- im doing it rn.

Answer:

OH OKK NICE TELLING ME

Step-by-step explanation:

Answer:

step 1. y - y1 = m(x - x1). This is the standard line equation given a point and a slope.

step 2. parallel lines have the same slope so the slope is -4.

step 3. y - (-5) = -4(x - (-4)).

step 4. y + 5 = -4x - 16.

step 5. y = -4x - 21.

Answer:

15

Step-by-step explanation:

To find the y-intercept, just set the x value to 0:

[tex]y=0^2+0x+15=15[/tex]

Answer:  Imagism is a school of poetry that advocates using everyday language to capture and present images in precise, brief poems that suggest, rather than enforce, interpretation

Answer:

−4+y

Step-by-step explanation:

3+(−7+y)

Subtract 7 from 3 to get −4.

−4+y

Step by step explanation:

Question 1:

Let's simplify step-by-step.

−3x2+6x+5x2−2

=−3x2+6x+5x2+−2

Combine Like Terms:

=−3x2+6x+5x2+−2

=(−3x2+5x2)+(6x)+(−2)

=2x2+6x+−2

Answer:

-5,-4,-3,-2,1,0,1,2

Step-by-step explanation:

Domain are all the x values. I believe this is the answer, however the open bracket o is bit confusing, if this it not correct(still should be)try -5,and forever going. But yeah im like 99% sure im right

9514 1404 393

Answer:

  x = 2/3, -1/4

Step-by-step explanation:

The zero product rule tells you a product will be zero only if one or more factors is zero. The solutions to this equation are the values of x that make one or the other of the factors be zero.

  3x -2 = 0

  3x = 2

  x = 2/3 . . . . makes the first factor zero

__

  4x +1 = 0

  4x = -1

  x = -1/4 . . . . makes the second factor zero

__

The solutions are ...

  x = 2/3  or  x = -1/4

Answer:

1+1 is 2

Hope it will help :)

Answer:

[tex]\displaystyle m=\frac{-2}{3}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Find points from graph

Point (-3, 1)

Point (3, -3)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Answer:

the y intercept is -2

Step-by-step explanation:

the y intercept is always the value on the end

Answer slope-intercept form is y = mx+ b y = m x + b, where m m is the slope and b b is the y-intercept. y = mx +b y = m x + b Find the values of m m and b b using the form y = mx+b y = m x + b.

Step-by-step explanation:

Answer:

0.8

Step-by-step explanation:

5 ÷ 6.25 = 0.8

You can do this on a calculator.