Verify the following identity:

[tex]\dfrac{1-\sin t}{\cos^2t}+\dfrac{1}{1-\sin t}=2\sec^2t[/tex]

Answer:

4.

Step-by-step explanation:

The factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, and 80. Furthermore, the greatest perfect square on this list is 16 and the square root of 16 is 4.

The greatest factor of 80 is

We have to determine, the greatest possible factor out of the square root of 80.

According to the question

The square root of the greatest perfect square from the list of all factors of 80.

The factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, and 80.

The greatest perfect square on this list is 16 and the square root of 16 is 4.

To determine the greatest square root of 80 following all the steps given below.

The square root of 80,

[tex]\rm = \sqrt{80} \\\\= \sqrt{2\times 2\times 2 \times 2\times 2\times 5} \\\\= 2 \times 2\times \sqrt{5} \\\\= 4\sqrt{5}[/tex]

Hence, The greatest factor of 80 is 4.

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Answer:

4

Step-by-step explanation:

The solution is 1.804 x 10⁷

The product of the two numbers is given by the equation A = 1.804 x 10⁷

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the product of two numbers be A

Now , the equation will be

Let the first number be P = 41

Let the second number be Q = 4.4 x 10⁵

The value of Q = 4.4 x 100000

The value of Q = 440000

The product of two numbers A = P x Q

Substituting the values in the equation , we get

The product of two numbers A = 41 x 440000

On simplifying the equation , we get

The product of two numbers A = 1,80,40,000

So , the value of A = 1.804 x 10⁷

Hence , the product of numbers is A = 1.804 x 10⁷

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Answer:

Step-by-step explanation:

AB is a midsegment.

Property of the midsegment is midsegment is half the length of the parallel side of the triangle:

And

Step-by-step explanation:

8/9 = 24/27

8/9 = 56/63

24 and 63 are the answers

Answer:

12 =x

Step-by-step explanation:

We  can use proportions to solve

6           x

---- = -------

10        10+10

Using cross products

6 ( 10+10) = x*10

6*20 = 10x

120 = 10x

Divide by 10

120/10 = x

12 =x

Answer:

x = 12

Step-by-step explanation:

ABC ~ ADE

AB/AD = BC/DE

 10/20 = 6/x

x = 20 x 6 ÷ 10

x = 12

ANSWER:

The ratio of the volume of the larger cylinder to the volume of the smaller cylinder is B. 12:1

Hello there, today you gave us the problem [tex]\frac{17}{20}-\frac{4}{15}[/tex],

Our first step is to give them common denominators, which is [tex]\frac{51}{60}-\frac{16}{60}[/tex], solve it and we get [tex]\frac{35}{60}[/tex] as our answer, which can be simplified down to [tex]\frac{7}{12}[/tex]

Step-by-step explanation:

8k - 12 = 3

8k = 3 +12

8k = 15

k = 15/8

k = 1.875

Answer:

8k-12=3

8k=3+12 [we equate the negative 12 from LHS and take it to RHS and its value becomes positive there fore 3 +12 is possible]

8k=15

k=15/8[algebraic rule of there is no sign between number and variable there is ment to be multiplication and when the multiply is taken to next sign it becomes division and becomes a denominator]

k=1.875

Answer:

8x-29y Sorry if wrong!

Step-by-step explanation:

You have to distribute first and then combine like terms.

Answer:

8x-29y

Step-by-step explanation:

You have to distribute first and then combine like terms.

And that is where you get your answer.

Hope this helps.

Answer:

13°

Step-by-step explanation:

Since these are complementary angles, we can add them together, set it equal to 90, and solve for x:

[Equation] (-6x + 53)° + (-9x + 22)° = 90°

[Distribute] -6x° + 53° + -9x° + 22° = 90°

[Combine like terms] 15x° + 75 = 90°

[Subtract 75 from both sides] 15x° = 15

[Divide both sides by 15] x = 1°

Then, plug-in our x for angle ADC:

[Given] (-9x + 22)°

[Distribute] -9x° + 22°

[Subsititue / plug-in] -9(1)° + 22°

[Multiply] -9° + 22°

[Combine like terms] 13°

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

Hes right 304.8 millimeters in a foot.

Answer:

380

Step-by-step explanation:

area of a circle is pir^2

3.14(11)^2

3.14(121)

=380sqft

Answer:

Step-by-step explanation:

Apparently, the values in the table are the products of the terms on the left and the terms on the bottom.

  (Blank 1) × 1 = 1   ⇒   (Blank 1) = 1

  (Blank 2) × 8x = 16x²   ⇒   (Blank 2) = 16x²/(8x) = 2x

  (Blank 3) = (Blank 1) × (Blank 2)   ⇒   (Blank 3) = 1 × 2x = 2x

  (Blank 4) = 8x × 1 = 8x

Answer:

1. 1

2. 2x

3. 2x

4. 8x

Step-by-step explanation:

Answer:

9 kg of tomatoes

Step-by-step explanation:

Cost of 40 kg of tomatoes = $200

Cost of 1 kg of tomatoes = 200/40 = $5

For $45, we get x kg of tomatoes,

kg       $

1          5

x         45

=> 45*1/5 = x kg (by cross multiplication)

=> 45/5 = x kg

We get 9 kg of tomatoes for $45.

Hope you understood!

Answer:

(9 Kg) You can get 9 kilograms of tomato's with 45$

Step-by-step explanation:

Answer:

YUP!

Step-by-step explanation:

Let's take the 60 degrees angle first. 180-60=120

3x+x=4x

120/4=30

So you were right!

:))

Answer:

use the formula y=mx+c

Step-by-step explanation:

m is the gradient

c is the y axis intercept

Answer:

Step-by-step explanation:

HOPE THIS HELPS :)

Answer:im pretty sure its d

Step-by-step explanation:

The vertical line shall have its x-coordinate equal to 14 because the points (14, -16) is on this vertical line.

Given the following data:

To find an equation of the vertical line that passes through the given points (14, -16):

The standard form of an equation of line is given by the formula;

[tex]y=mx+b[/tex]

Where:

For any equation of a straight line, the x-coordinate of a vertical line will always be the same irrespective of the point chosen on the vertical line. because a vertical line is perpendicular to the x-axis.

Deductively, the vertical line shall have its x-coordinate equal to 14 because the points (14, -16) is on this vertical line.

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Answer:

Cost = 8 + 1.25x

Step-by-step explanation:

Answer: No, see explanation below

Step-by-step explanation:

For the relationship between the temperature scales to be proportional, the ratio (the number we get when dividing the given temperature in Celsius by the temperature in Fahrenheit) has to be constant.

[tex]\frac{0}{32}=0\\\frac{10}{50}=0.2\\\frac{20}{68}=0.29[/tex]

In the example, I give, we can see that is not the case. It applies to any value as well, therefore the relationship between the temperature scales is NOT proportional

Answer:

1033.33

Step-by-step explanation:

If you take 30 percent of a number and get 310, then what is that number? In other words, you know that 30 percent of a number is 310 and you want to know what that initial number is.

To solve this problem you multiply 310 by 100 and then divide the total by 30 as follows: (310 x 100) / 30

When we put that into our calculator, we get the following answer: 1033.33

You're welcome :)

Answer:1033.33

Step-by-step explanation:  i am changing to the right answer I am not copying I just don’t want people seeing the wrong answer

Answer:

Step-by-step explanation:

we should divide it by 3 to get a perfect square .and the square root of the perfect square is 49

[tex]\begin{gathered}\:\:\:\:\:\:\:\:\:\:\:\begin{gathered} \begin{array}{c|c} \underline{\sf{3}}& {\sf{ \underline{ \pink{7203} \: } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }} \\ \underline{\sf{7}}&{\sf{ \underline{2401 \: \: \: }\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }} \\\underline{\sf{7}}&{\sf{ \underline{343 \: \: \: \: \: }\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }} \\\underline{\sf{7}}&{\sf{ \underline{49\: \: \: \: \: }\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }} \\\underline{\sf{7}}&{\sf{ \underline{7 \: \: \: \: \: }\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }} \\\underline{\sf{}}&{\sf{ 1 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }} \end{array}\end{gathered}\end{gathered}[/tex]

[tex]\qquad[/tex][tex]\purple{ \bf\longrightarrow 7203 = 3 \times 7 \times 7 \times 7 \times 7} [/tex]

____________________________________________

Answer:

x = 5

Step-by-step explanation:

5×2 = 10

8×2 = 16

so

2(3x-5) = 20

3x-5 = 10

3x = 15

x = 5

Answer:

QUESTION 1

The image attached shows the graph of the given system of equations. There you would notice that the solution is (-1,-5), which is the interception point.

To verify the solution algebraically, we need to multiply the first equation with -1 and then sum them up

Then, we use this value to find the other one

Therefore, the solution is (-1,-5), which is the same showed graphically.

QUESTION 2.

Using the same process as we did in the QUESTION 1. The image attached shows both lines and the interception point which is the solution. So, the solution is (6,0).

To verify the solution algebraically, we must multiply the second equation by -6

Then, we use this value to find the other one

Therefore, the solution is (6,0), the same showed graphically.

Step-by-step explanation:

If you don't get it

question 1

solution is (-1,-5)

question 2

solution is (6,0),

The solution to the system of linear equations x+6y=6 and y=1/3 x−2 is x = 6 and y = 0.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have:

The system of linear equations:

x+6y=6

y=1/3 x−2

Part A: Graph is shown in the picture.

Part B: The intersection point is (6, 0)

x = 6

y =0

Part C: By substitution method.

[tex]\rm x+6\left(\dfrac{x}{3}-2\right)=6[/tex]

x  = 6

y = 0

Thus, the solution to the system of linear equations x+6y=6 and y=1/3 x−2 is x = 6 and y = 0.

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

Explanation:

Plug n = 6 and r = 5 into the nCr combination formula

[tex]_n C _r = \frac{n!}{r!*(n-r)!}\\\\_6 C _5 = \frac{6!}{5!*(6-5)!}\\\\_6 C _5 = \frac{6!}{5!*1!}\\\\_6 C _5 = \frac{6*5*4*3*2*1}{5*4*3*2*1*1}\\\\_6 C _5 = \frac{720}{120}\\\\_6 C _5 = 6\\\\[/tex]

Or you could use the shortcut

[tex]_n C _{n-1} = n\\\\[/tex]

Yet another path you could take is to use Pascal's Triangle. Locate the row that starts with 1,6,... and then locate the second to last item. That value in the triangle is 6.

A real world interpretation is to consider having 6 people and you are selecting 5 of them to form a group where order doesn't matter. How many ways are there to do this? Well there are 6 such ways because there are 6 ways to leave someone out of the group.