Find the perimeter of the shape made up of rectangles and squares

Answer:

Reason 1 is: Addition

Reason 2 is: Sine Sum Identity

Reason 3 is: Simplify

Step-by-step explanation:

The Reason 1, Reason 2, and Reason 3 are Addition, Sine Sum Identity, and Simplify.

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have:

= sin2x  (given)

= sin(x + x) (sine sum property)

= sinx cosx + cosx sinx

= 2sinx cosx

Thus, the Reason 1, Reason 2, and Reason 3 are Addition, Sine Sum Identity, and Simplify.

Learn more about trigonometry here:

brainly.com/question/26719838

#SPJ2

Carmine's loan balance after two years would be approximately $13,827.72.

In mathematics, the term "loan" typically refers to a sum of money that is borrowed by one party from another with the agreement to repay it with interest over time. Loans are a common financial concept used in various areas of mathematics, such as finance, economics, and business.

"Compounded quarterly" refers to a method of calculating interest or investment growth where the interest is added to the principal and then reinvested or recalculated at the end of each quarter (every three months) within a given time period.

To calculate Carmine's loan balance after two years, we need to use the compound interest formula, which is given by:

A = P ×\((1+r/n)^{nt}\)

Where:

A = the loan balance after t years

P = the initial principal amount (loan amount) = $11,500

r = annual interest rate = 8% or 0.08 (expressed as a decimal)

n = number of times interest is compounded per year = 4 (since it is compounded quarterly)

t = time in years = 2 (since Carmine made no payments for the first two years)

Putting the values into the formula, we get:

A = 11,500 × (1 + 0.08/4)⁸

A = 11,500 × (1 + 0.02)⁸

A = 11,500 × (1.02)⁸

A ≈ $13,827.72

So, Carmine's loan balance after two years would be approximately $13,827.72.

Learn more about balance here:

https://brainly.com/question/28699225

#SPJ1

The volume of a sphere is given by

where V denotes the volume and r the radius. In our case,

Then, by substituting this value into the formula, we have

which gives

By taking Pi as 3.14, we get

So , by rounding to the nearest tenth, the answer is 14.1 cubic inches.

Answer:

a) x/20

Explanation:

To know the number of inches, we need to use the given relationship.

Since 1/2 in is equivalent to 10 miles, we get that x miles is equivalent to:

Therefore, the answer is x/20 inches.

Answer:

False

Step-by-step explanation:

1=cos(1)

The sides are not equal

Answer:

the degree is the value of the biggest exponent = 5 (fifth degree)

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Since the highest power of x is 5, the degree of the polynomial x

3

−9x+3x

5

is 5.

Answer:

0,0

Step-by-step explanation:

Two numbers can not equal another number

Answer:

2x² + 5x + c = 0

For this quadratic equation to have one double root, the discriminant must equal 0.

5² - 4(2)(c) = 0

25 - 8c = 0

c = 25/8

2x² + 5x is not a perfect square because the coefficient of x², 2, is not a perfect square.

2x² + 5x is not a perfect square.

https://brainly.com/question/34063927

#SPJ11

Answer:

HAHAHAHH

Step-by-step explanation:

\( \\ \mathbb {}\)

\( \\ 6 \frac{2}{5} \div 3 \frac{1}{5} - (2\frac{3}{10} + 1 \frac{3}{8} )\)

\( \\ = \frac{32}{5} \div \frac{16}{5} - ( \frac{23}{10} + \frac{11}{8} )\)

\( \\ = \frac{32}{5} \div \frac{16}{5} - ( \frac{92 + 55}{40} )\)

\( \\ = \frac{32}{5} \div \frac{16}{5} - \frac{147}{40} \)

\( \\ = \frac{32}{5} \times \frac{5}{16} - \frac{147}{40} \)

\( \\ = 2 - \frac{147}{40} \)

\( \\ = \frac{80 - 147}{40} \)

\( \\ = \frac{ - 67}{40} \)

\( \\ = - 1 \frac{27}{40} \)

The right answer is C)

Consistent and independent system of two linear equations is a system such that there is only one solution for the system, that is, the two straight lines cross at a point. So we can analyze each case and I have attached some graphs to provided you with examples. Those graphs aren't about the equations but it's about general cases:

A) Consistent and dependent. If we divide this given equation by 2 we get the same line. (See Figure 1)

B) Inconsistent. No solutions. (See Figure 2)

C) Consistent and Independent. (See Figure 3)

D) Consistent and dependent.

Answer:

c

Step-by-step explanation:

All the solutions are,

⇒ x = 1/2 (w- v)

⇒ x = (b - 9)/(a - 2)

⇒ x = (4 + w) / (7 - v)

⇒ x = 2 / (v + w)

⇒ x = 7v/(3w - 4)

Given that;

Expressions are,

⇒ 6x + v = 4x + w

⇒ ax + 9 = 2x + b

⇒ 7x - w = vx+4

⇒ 6 - wx = vx + 4

⇒ 3(wx - v) = 4(x + v)

We can simplify as;

⇒ 6x + v = 4x + w

⇒ 6x - 4x = w - v

⇒ 2x = w - v

⇒ x = 1/2 (w- v)

⇒ ax + 9 = 2x + b

⇒ ax - 2x = b - 9

⇒ (a - 2)x = b - 9

⇒ x = (b - 9)/(a - 2)

⇒ 7x - w = vx+4

⇒ 7x - vx = 4 + w

⇒ (7 - v) x = 4 + w

⇒ x = (4 + w) / (7 - v)

⇒ 6 - wx = vx + 4

⇒ vx + wx = 6 - 4

⇒ (v + w)x = 2

⇒ x = 2 / (v + w)

⇒ 3(wx - v) = 4(x + v)

⇒ 3wx - 3v = 4x + 4v

⇒ 3wx - 4x = 7v

⇒ (3w - 4)x = 7v

⇒ x = 7v/(3w - 4)

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ1

Answer:

Plug the x values into the equation and the answers are the y values

The equation of the line would be y = (4/5)x + 4 which in slope-intercept form represents the graph.

The graph is given in the question.

As per the given line, we take two points (0, 4) and (5, 8)

Let the required line would be y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]

x₁ = 0, y₁ = 4

x₂ = 5, y₂ = 8

⇒ y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]

Substitute values in the equation, we get

⇒ y - 4 = (8 - 4)/(5-0 )[x -0]

⇒ y - 4 = (4/5)x

⇒ y = (4/5)x + 4

The given equation of the line y = 4x + 5 is incorrect because its slope is not correct.

So, the equation of the line would be y = (4/5)x + 4.

Learn more about the Slope of the Line here:

brainly.com/question/14511992

#SPJ1

The number of steps they climbed can be represented by positive

From the question, we understand that they climbed up

Upward movements are usually represented by the positive sign

This means that:

Steps = 125 or +125

Hence, the number of steps they climbed can be represented by positive

Read more about positive numbers at

https://brainly.com/question/1782403

#SPJ1

Answer:

y = 4x - 11

Step-by-step explanation:

The general equation of the slope-intercept form of a line is given by:

y = mx + b, where

We can find b, the y-intercept of the line, by plugging in 4 for m and (3, 1) for (x, y) in the slope-intercept form:

1 = 4(3) + b

1 = 12 + b

-11 = b

Thus, the y-intercept is -11.

Thus, the equation of the line with a slope of 4 passing through the point (3, 1) in slope-intercept form is y = 4x - 11

The answer is:

Work/explanation:

First, we will write the equation in point slope:

\(\sf{y-y_1=m(x-x_1)}\)

where m = slope;

(x₁,y₁) is a point on the line.

Plug in the data:

\(\sf{y-1=4(x-3)}\)

Simplify

\(\sf{y-1=4x-12}\)

Add 1 on each side

\(\sf{y=4x-12+1}\)

\(\sf{y=4x-11}\)

Answer:

nice question I will give you answer at 2/30/2022

The value of x in the triangles are 9.

For variable x : ax² + bx + c = 0, where a≠0 is a standard quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.

Given:

The triangles are congruent.

That means, their corresponding angles are also congruent.

In ΔJKL,

the sum of all the angles of the triangle is 180°.

So,

x²-2x + x + 29 + 3x + 52 = 180

x² + 2x - 99 = 0

Solving the quadratic equation,

x² +11x - 9x - 99 = 0.

x (x + 11) -9 (x + 11) = 0

x = 9 and x = -11

Here, we take x = 9.

Therefore, the value of x is 9.

To learn more about the quadratic equation;

https://brainly.com/question/17177510

#SPJ1

Answer:

A. Adjacent Angles

Step-by-step explanation:

Because they are adjacent to each other! I hope you pass your test/homework question with an A+++!   :)

Answer/Step-by-step explanation:

Given:

Line equation => \( 2.1x + 9.9y - 9.2 = 0 \)

Required:

x-intercept and y-intercept of the line.

SOLUTION:

The x-intercept is the point where the line intercepts the x-axis. To find the x-intercept of the line for which the equation is given above, set y = 0 and solve for x.

\( 2.1x + 9.9(0) - 9.2 = 0 \)

\( 2.1x + 0 - 9.2 = 0 \)

\( 2.1x - 9.2 = 0 \)

\( 2.1x - 9.2 + 9.2 = 0 + 9.2 \)

\( 2.1x = 9.2 \)

\( \frac{2.1x}{2.1} = \frac{9.2}{2.1} \)

\( x = 4.4 \) (approximated)

The y-intercept is the point where the line intercepts the y-axis. At this point, x = 0. Set x = 0 and solve for y to find the y intercept.

\( 2.1(0) + 9.9y - 9.2 = 0 \)

\( 9.9y - 9.2 = 0 \)

\( 9.9y - 9.2 + 9.2 = 0 + 9.2 \)

\( 9.9y = 9.2 \)

\( y = \frac{9.2}{9.9} \)

\( y = 0.9 \) (approximated)

Answer: not a triangle

Step-by-step explanation:

If this were to be a triangle, the shorter sides would be 11 and 4 and the longest side would be 16.

First, we should determine if it is a triangle.

The area of the circle created by the paint is given by the expression 4πt².

The area of the circle is 100π, which is approximately 314.16 in².

The circle will be at least 300 in² in 5 minutes. Yes.

To find the area of the canvas, we multiply the lengths of its sides:

Area = (3x + 5) × (2x + 1)

Expanding the expression:

Area = 6x² + 3x + 10x + 5

Combining like terms:

Area = 6x² + 13x + 5

The area of the canvas is given by the expression 6x² + 13x + 5.

Now, let's find the area of the circle created by the paint.

The area of a circle is given by the formula A = πr², where r represents the radius.

The radius is given by the spreading of paint, which is r(t) = 2t.

Substituting the value of r(t) into the formula, we have:

A[r(t)] = π(2t)²

Simplifying:

A[r(t)] = π(4t²)

A[r(t)] = 4πt²

Now, let's determine if the area of the circle will be at least 300 in² in 5 minutes.

Substitute t = 5 into the area formula:

A[r(5)] = 4π(5)²

A[r(5)] = 4π(25)

A[r(5)] = 100π

Since 314.16 in² is larger than 300 in², the circle created by the paint will be larger than 300 in² in 5 minutes.

For similar questions on area of the circle

https://brainly.com/question/12269818

#SPJ8

Answer:

what exactly do i need to do ?????

Step-by-step explanation:

Answer:

$0.57

Step-by-step explanation:

6.84/12=.57

The volume of the spherical boulder is 7234.56 cubic feet.

What is the diameter?

A line connecting the center and the circumference at its opposite ends is called the diameter. Its length is double that of the circle's radius.

The formula for the volume of a sphere is \(V=\frac{4}{3}\pi r^{3}\).

Given the diameter of the sphere is 24 feet.

therefore radius is equal to 12 feet.

The volume of the sphere is equal to

\(V=\frac{4}{3}\pi (12)^{3} \\V=\frac{4}{3} *3.14*1728\\V=7234.56\)

To learn more about the volume of the sphere, refer to the link below:

https://brainly.com/question/22807400

#SPJ1

a. $456 would be the amount a customer could save during the first year by switching from Cable Zone to Super Vision.

b. Super Vision raises the rates 23% after a new customer's first year,  a customer who switched from Super Vision save $180 in the second year.

c. Super Vision raises the rates 18% for the third year compared to the second year, for the third year, Cable Zone would be cheaper.

a. To calculate how much a customer could save during the first year by switching from Cable Zone to Super Vision, we need to compare the costs of the two providers.

Cable Zone charges $46 for monthly home phone service, $36 for monthly Internet service, and $56 for monthly cable television. Therefore, the total cost per month with Cable Zone is:

$46 (home phone) + $36 (Internet) + $56 (cable television) = $138

Super Vision, on the other hand, offers all three services for a flat $100 monthly fee. So, the customer would save:

$138 (Cable Zone cost) - $100 (Super Vision cost) = $38 per month

Therefore, during the first year, the customer could save:

$38 (monthly savings) * 12 (number of months) = $456

b. After the first year, Super Vision raises the rates by 23%. The new monthly fee would be:

$100 (original fee) + 23% (rate increase) * $100 (original fee) = $123

To calculate the savings in the second year, we need to compare the new Super Vision fee to the cost with Cable Zone:

$138 (Cable Zone cost) - $123 (Super Vision cost) = $15 per month

Therefore, in the second year, the customer would save:

$15 (monthly savings) * 12 (number of months) = $180

c. If Super Vision raises the rates by 18% for the third year compared to the second year, we need to calculate the new monthly fee. The new Super Vision fee would be:

$123 (second-year fee) + 18% (rate increase) * $123 (second-year fee) = $145.14

To determine which company is cheaper for the third year, we compare the new Super Vision fee to the cost with Cable Zone:

$138 (Cable Zone cost) - $145.14 (Super Vision cost) = -$7.14

In this case, the Super Vision cost is higher than the Cable Zone cost by $7.14 per month. Therefore, for the third year, Cable Zone would be cheaper.

Overall, during the three-year period, the customer would save a total of $456 (first year) + $180 (second year) = $636 by switching to Super Vision.

For more such information on: rates

https://brainly.com/question/25720319

#SPJ8

Answer:

-----------------------------------

The scale factor k affects the points with the rule:

Apply the rule to the given points, given k = 1/2:

Answer:

Let's call the original number of dollar bills Mother had "d". Each child received d/5 + 3 dollars.

Since each child received $14, we have:

d/5 + 3 = 14

Multiplying both sides by 5, we get:

d + 15 = 70

Subtracting 15 from both sides, we get:

d = 55

So, Mother had 55 dollar bills in her wallet.