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Number 5

In accordance with the above formula, the pythagorean ratio of (x - y) to cos(180 - x + y) is equal to -cos (y - x).

The branch of mathematics concerned with the calculation of specific functions of particular angles. There are six widely used angles-related trigonometric functions. Their relative names and acronyms include sum (sin), covariance (cos), curvilinear (tan), median (cot), subplots (sec), and cotangent (csc).

Inferring the cosine of a difference between two angles using trigonometry, we get:

cos(180 - x + y) = cos(180) cos(x - y) + sin(180) sin(x - y)

Since cos(180) = -1 and sin(180) = 0, The equation above may be made simpler to:

cos(180 - x + y) = -cos(x - y)

As a result, we have:

cos(180 - x + y) = -cos(x - y) = -cos(y - x)

The mathematical ratio of (x - y) to cos(180 - x + y) is hence -cos (y - x).

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Answer:

7200

Step-by-step explanation:

Step 1:

77 × 87    Round

Step 2:

80 × 90  Multiply

Answer:

7200

Hope This Helps :)

Answer:

7,200

Step-by-step explanation:

So you have 77 x 87

Round 77  ( look at the ones place, is it 5 and up? In this scenario it is. So you want to go up one in the tens place and replace the 7 with a 0 in the ones place) Which looks like this: 80

Do the same thing with the number 87

You should get 90

So now you have 80 x 90

If you want to solve without a calculator you should know your multiplication such as 4 x 5 which is obviously 20

In this scenario remove the zeros

  8

x 9

___

72

Now add the total number of zeros from both numbers which there are 2 zeros in total. Add the 2 zeros to the total of 8 x 9.

And you should get 7,200

Hope this makes sense!

Answer:

1 3/5

Step-by-step explanation:

Answer:

Step-by-step explanation:

The equation that could be used to find the length of the other leg of the triangle is:

a^2 + b^2 = c^2

where a, b, and c are the lengths of the legs and the hypotenuse of the right triangle, respectively.

In this case, one leg has a measure of 24 units and the hypotenuse measures 25 units. Let b be the length of the other leg. Then we can plug in the given values into the Pythagorean theorem as follows:

24^2 + b^2 = 25^2

576 + b^2 = 625

b^2 = 625 - 576

b^2 = 49

b = √49

b = 7

Therefore, the length of the other leg of the triangle is 7 units, and the correct equation to find it is:

a^2 + b^2 = c^2

where a = 24, b = 7, and c = 25.

Answer:

The equation that could be used to find the length of the other leg is a2 + 25 2 = 24 2. This equation uses the Pythagorean Theorem, which states that in a right triangle, the sum of the squares of the two shorter sides is equal to the square of the longest side. In this equation, the longest side is the hypotenuse with a measure of 25, and one of the shorter sides has the measure of 24.

Answer:

Average time per day = 1.2 hours per day
Average time per day = 72 minutes per day

Step-by-step explanation:

To find Clarence's average time per day, we need to divide the total time he takes to walk the 15.5 miles by the number of days he walks, which is five.

Let's calculate his average time per day:

Average time per day = Total time / Number of days

Since Clarence takes a total of 6 hours to walk the 15.5 miles, we'll divide 6 by 5 to find his average time per day:

Average time per day = 6 hours / 5

Average time per day = 1.2 hours per day

To convert hours to minutes, we'll multiply the average time per day by 60:

Average time per day = 1.2 hours * 60 minutes

Average time per day = 72 minutes per day

Therefore, Clarence's average time per day is 72 minutes.

The number of pounds of strawberries sold and the number of pounds of grapes sold is 32 and 20 respectively.

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.

Given that the selling price of strawberries each pound = $2.50,

The selling price of grapes each pound = $2

The total earning = $160

Let x is the no of a pound of strawberries and y is the no of a pound of grapes sold, then equation will be,

x = y + 12 and 2.50x + 2y= 160

Solve the equation by substitution method;

x = 32 and  y = 20

Therefore, the number of pounds of strawberries sold is 32

the number of pounds of grapes sold is 20.

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The surface area of the figure is approximately 997.5π cm².

We have,

The figure has two shapes:

Cone and a semicircle

Now,

The surface area of a cone:

= πr (r + l)

where r is the radius of the base and l is the slant height.

Given that

r = 15 cm and l = 19 cm, we can substitute these values into the formula:

= π(15)(15 + 19) = 885π cm² (rounded to the nearest whole number)

The surface area of a semicircle:

= (πr²) / 2

Given that r = 15 cm, we can substitute this value into the formula:

= (π(15)²) / 2

= 112.5π cm² (rounded to one decimal place)

The surface area of the figure:

To find the total surface area of the figure, we add the surface area of the cone and the surface area of the semicircle:

Now,

Total surface area

= 885π + 112.5π

= 997.5π cm² (rounded to one decimal place)

Therefore,

The surface area of the figure is approximately 997.5π cm².

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Answer:

The file contains the solution to the question

It took Ringani 2.8 years  to accumulate the total amount of R30,000.00 by depositing R8,500.00 yearly into the account with a 7.04% interest rate Compounded annually.The correct answer choice is C. 2.8 years.

To determine how long it took Ringani to accumulate the total amount of R30,000.00 by depositing R8,500.00 yearly into an account with a 7.04% interest rate compounded annually, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A is the final amount

P is the principal amount (initial deposit)

r is the interest rate (in decimal form)

n is the number of times the interest is compounded per year

t is the time in years

In this case, we have:

P = R8,500.00

A = R30,000.00

r = 7.04% = 0.0704 (in decimal form)

n = 1 (compounded annually)

We want to find the value of t.

Using the formula, we can rearrange it to solve for t:

t = (log(A/P)) / (n * log(1 + r/n))

Substituting the given values, we have:

t = (log(30,000/8,500)) / (1 * log(1 + 0.0704/1))

Calculating this using a calculator, we find that t is approximately 2.8 years.

Therefore, it took Ringani approximately 2.8 years (rounded to one decimal place) to accumulate the total amount of R30,000.00 by depositing R8,500.00 yearly into the account with a 7.04% interest rate compounded annually.

The correct answer choice is C. 2.8 years.

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Answer:

The area of this trapezoid is equal to 240 \(m^{2}\)

Step-by-step explanation:

The area of a trapezoid can be found by using the following formula...

\(Area = \frac{(a + b)h}{2}\)   (in this formula a and b are the bases of the trapezoid and h is

                         the height of the trapezoid).

Now we just substitute the values and get...

\(Area = \frac{(a + b)h}{2} = \frac{(9 + 15)(20)}{2} = \frac{480}{2} = 240m^{2}\)

Using the concept of word problems and quadratic equation it will take 1 year until the sum of square of their ages be 45.

Word problems are mathematical problems that are delivered in ordinary words, instead of mathematical symbols.

Part of the problem with dealing with word problems that they first need to be translated into mathematical equations, and then the equations need to be solved.In this problem;

let x represent the number of years from now when the sum of square of their respective age will be

45.(x + 2)² + (x + 5)² = 45

Expanding the brackets;

x² + 4x + 4 + x² + 10x + 25 = 45

2x² + 14x + 29 = 45

2x² + 14x + 29 - 45 = 0

2x² + 14x - 16 = 0

Solving the quadratic equation for x;

x = 1, x = -8

Taking the positive value, the value of x is 1

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The six terms of the series 247 are 2, 2, 2, 2, 2, and 2.

To find the six terms of a series, we need to first understand what a series is. A series is defined as the sum of the terms of a sequence. A sequence is a set of numbers in a specific order.

Therefore, a series is a sum of terms from a sequence. There are different types of series, and they have different formulas for calculating their terms.In this case, we are required to find the six terms of the series 247. Since this is a finite series, we can use a formula to calculate the nth term of a finite series.

The formula is given as follows:Tn = a + (n - 1) dWhere Tn is the nth term of the series, a is the first term of the series, n is the number of terms in the series, and d is the common difference between the terms of the series.To find the six terms of the series 247, we need to know the value of a and d. In this case, we can see that the first term of the series is 2. Therefore, a = 2.

Since this is a constant series, we can see that the common difference between the terms is 0. Therefore, d = 0.Substituting these values in the formula, we get:T1 = a + (1 - 1) dT1 = 2 + 0T1 = 2T2 = a + (2 - 1) dT2 = 2 + 0T2 = 2T3 = a + (3 - 1) dT3 = 2 + 0T3 = 2T4 = a + (4 - 1) dT4 = 2 + 0T4 = 2T5 = a + (5 - 1) dT5 = 2 + 0T5 = 2T6 = a + (6 - 1) dT6 = 2 + 0T6 = 2.

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Answer:

If it says she made 20 liters of cream then She has 30 liters of milk

Step-by-step explanation:

2 cream x 10 = 20

3 milk x 10 = 30

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A function assigns the values. The correct option is D.

A function assigns the value of each element of one set to the other specific element of another set.

Given the function h(x)=3√(x+1) - 2, therefore, if we plot the function on the graph, then the statement that is true about the function is that the function is increasing on the interval (–1, ∞).

Hence, the correct option is A.

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Answer:

The function is increasing on the interval (–1, ∞).

Step-by-step explanation:

I got it right on the test.

Answer:

Step-by-step explanation: To find the x-intercept, substitute in

0

for

y

and solve for

x

. To find the y-intercept, substitute in  0 for x

and solve for  y

x-intercept(s):  735,0

y-intercept(s):   0,490

Answer:opposite side has side length of 11. One of the angle is 27 degrees.

Step-by-step explanation:

Answer:The range rule of thumb states that the standard deviation (s) is approximately equal to the range (R) divided by 4, where the range is the difference between the maximum and minimum values of a data set.

Using this formula, we can estimate the standard deviation of the heights as:

s = R / 4 = (192.5 - 152.0) / 4 = 20.625 / 4 = 5.156 cm

Comparing this estimate to the actual standard deviation of 12.22 cm, we see that the estimate is off by a factor of approximately 2.37.

Since the estimate is not within 1.7 cm of the actual standard deviation, it suggests that the range rule of thumb is not a very accurate way to estimate the standard deviation of this data set. The standard deviation calculated using the full set of data is much larger than the estimate, which means that the spread of the data is greater than what would be expected based on the range rule of thumb.

When Php 20.247 is rounded to the nearest hundredths, the value that will be gotten is Php. 20.25.

It should be noted that the 2 after the decimal is the tenth place, 4 is in the hundredth place and 7 is in the thousandth place.

Therefore, when Php 20.247 is rounded to the nearest hundredths, we'll add 1 to 4 since the thousandths place is above 5. Therefore, the new number is Php. 20.25.

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Answer: Discrete

Explanation: Domain: Number of Tables

                     Range: Number of Chairs. Hope this helps!

Hey there!

\(Answer:\boxed{20.95}\)

\(Explanation:\)

To find the answer, we can add up the time from both people.

\(20.7(20.70)+0.25=20.95\)

\(\boxed{20.95}\text{ is your answer.}\)

Hope this helps!

\(\text{-TestedHyperr}\)

Answer:

From the question it is given in a ΔRST and Δ UTS  

RS = UT

RT = US

proof:

RS = UT    {given}

RT = US    {given}

ST = TS     {Common}

Therefore, by SSS theorem ΔRST and Δ UTS  is congurent

RST = UTS    {SSS Theeorem}

Answer:

3. Reflexive Property

4. SSS

Step-by-step explanation:

Answer:

36+4x

Step-by-step explanation:

i think this is just asking for simplification

times two by each vvariqble in the bracket

36+4x

Answer:

X + 5 = 27 or 27 - 5 = X

the answer is $22

Step-by-step explanation:

Answer:

x-5=27 or 27=x-5 or x=27+5

Step-by-step explanation:

let x be the total amount of money Penny has.

after she deducts 5 dollars to pay for her bunny she is left with 27

    therefore

x-5=27 (which is the same as representing it in any other way shown above)

if they ask for X, then solve your equation

x=27+5

x=$32

Applying the tangent ratio, the value of x in the image, rounded to the nearest thousandth is: 15.824.

The tangent ratio, commonly referred to as "tangent," is a trigonometric function that relates the ratio of the length of the side opposite an angle to the length of the side adjacent to that angle in a right triangle. It is expressed as:

tan (∅) = opposite/adjacent

We have the following:

Reference angle (∅) = 53 degrees

Length of opposite side = 21

Length of adjacent side = x

Plug in the values:

tan 53 = 21/x

x * tan 53 = 21

x = 21 / tan 53

x = 15.824

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The cost of the 28 inches and 36 inches diagonal Smart TVs, based on the quadratic cost function are;

28 - inch diagonal; $134

36 - inch diagonal; $165

A quadratic function is a function of the form f(x) = a·x² + b·x + c, where a ≠ 0, and a, b, and c are numbers.

The cost of the Smart TV as a function of the diagonal length is C(d) = 0.322·d² - 16.776·d + 351.444

The above function indicates that the cost of a Smart TV that is 28 inches long is; C(28) = 0.322 × 28² - 16.776 × 28 + 351.444 ≈ 134

The cost of a Smart TV with a diagonal of 36 inches is therefore;

C(36) = 0.322 × 36² - 16.776 × 36 + 351.444 ≈ 165

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