AHow many degrees mustFigure A be rotatedcounterclockwise aroundthe origin in order toline up with Figure B?BA. 90B. 180C. 270D. 360

The area is 18. 8 ft².

From the question, we have

Area of a triangle = 1/2 base × height

= 1/2 × 5 × 3

= 1/2 × 15

= 7. 5 ft²

In trapezoid,

a = 4ft

b = 0. 2ft

h = 5ft

Area of trapezoid = 1/2*(a+b)*h

= 1/2*(4+0.2)*5

= 1/2*4.2*5 = 10. 5 ft²

Area of rectangle = length × width

= 0. 2 × 4

= 0. 8 ft²

Total area of tree = area of triangle + area of trapezoid + area of rectangle

= 7. 5 + 10. 5 + 0. 8

= 18. 8 ft²

Multiplication:

Finding the product of two or more numbers in mathematics is done by multiplying the numbers. It is one of the fundamental operations in mathematics that we perform on a daily basis. Multiplication tables are the main use that is obvious. In mathematics, the repeated addition of one number in relation to another is represented by the multiplication of two numbers. These figures can be fractions, integers, whole numbers, natural numbers, etc. When m is multiplied by n, either m is added to itself 'n' times or the other way around.

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Answer:

The ratio of red pens to pencils is 7/10

The ratio of pencils to red pens is 10/7

Step-by-step explanation:

Ratio:

The ratio of a to b is a/b

The ratio of b to a is b/a

In this question:

7 red pens

10 pencils

The ratio of red pens to pencils is 7/10

The ratio of pencils to red pens is 10/7

We transform System A into System B by converting equation A2 into equation B2. We transform System B into System C by converting equation B2 into equation C2.

We are given three systems of linear equations. The first system of linear equations is A1 : -2x + 7y = -5 and A2 : 4x - 3y = -23. The second system of linear equations is B1 : -2x + 7y = -5 and B2 : 11y = -33. The third system of linear equations is C1 : -2x + 7y = -5 and C2 : y = -3. To convert the system A to system B, we transform the equation A2 to equation B2. To convert the system B to system C, we transform the equation B2 to equation C2.

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1) Looking at the function y= -16x² + 116x + 7

The maximum height is the vertex described by the parabola. The Vertex follows that formula:

2) Since the question wants only the height, let's keep with the y-coordinate of the Vertex. Let's call it Yv

So the maximum height of that rocket is 217.25 feet above the ground.

Let x be the regular price. We are told that the sale price corresponds to the 24% of the regular price. That is, if we calculate the 24% of x, we would get the sale price, which is 110.40. Recall that to calculate the 24% of x, we simply multiply x by 24 and divide it by 100. So this expression would be

We know that this quantity should be 110.40 so we have the following equation

So, if we multiply both sides by 100, we get

Now, we divide both sides by 24, so we get

So the original price of the table was 460.

Answer: 13 customers and 2 chefs

Step-by-step explanation:

Given:

• Length of the pyramid, l = 17 units

• Width of the pyramid, w = 7 units

• Height of the pyramid, h = 13 units

Let's find the volume of the given rectangular pyramid.

To find the volume, apply the formula:

Where:

l is the length = 17 units

w is the width = 7 units

h is the height = 13 units

Thus, we have:

Therefore, the volume of the rectangular pyramid is 515.67 cubic units.

Matt's answer should be 515.67 cubic units.

ANSWER:

515.67 cubic units.

To solve the question you have find the equation of the line that is perpendicular to the y axis and passes through the point (6,2), so in this case the equation of the line is y=2 as you can see in this picture

Remember that two lines are perpendicular when they form an 90 degrees angle between them

Since x = 800kWh which is greater than 200, we use the function

b(x) = 0.15(x - 200) + 20

b(800) = 0.15(800 - 200) + 20

=0.15(600) + 20

= 90 + 20

=$110

option B is the correct answer

The number less than 3 are {1,2}.

The total possible outcome is 4.

Determine the probability for number less than 3.

The number divisor of 20 are {1,2,4}.

Determine the probability for landing on a number divisor of 20.

The probability for number less than 3 and number divisor of 20 are independent events. So,

Determine the probability in percentage by multiply the fraction with 100.

So answer is 37.5 %.

We got to use the given formula:

The distance, d, given is 320 ft and the initial velocity, v, 16 ft/s. We want the time, t. So:

Now, we have a quadratic equation, so we can use Bhaskara formula:

Because we can't have a negative time, we consider only the second one, which it t = 4s.

Given the following question:

Part B:

Point A: (-8, -2) = (x1, y1)

Point B: (3, 2) = (x2, y2)

Formula for slope:

If a shape is dilated by a scale factor of 5, the new dimensions would have increased by a factor of 5 on all sides. This means the new area is 25 times the original

The correct answer is option B

The coordinates of triangle after being reflected across y-axis: X"(-2, -5), Y"(-2, -2), Z"(-1, -4)

Given that the coordinates of triangle X(4, -5), Y(4, -2), Z(5, -4)

ΔXYZ is reflected across the line x = 3 and then reflects the image across the y-axis.

We need to find the coordinates of triangle after mentioned geometric transformation.

i)  when ΔXYZ is reflected across the line x = 3

the coordinates of ΔX'Y'Z' are:

X'(2, -5), Y'(2, -2), Z'(1, -4)

The green triangle in the following graph.

ii) when ΔX'Y'Z' is reflected across the y-axis

the coordinates of ΔX"Y"Z" are:

X"(-2, -5), Y"(-2, -2), Z"(-1, -4)

The orange triangle in the following graph.

Therefore, the coordinates of triangle after being reflected across y-axis: X"(-2, -5), Y"(-2, -2), Z"(-1, -4)

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The number of biscuit batches that Marisol can make from the given task content is; 4 / 9 batches.

It follows from the task content that the number of batches of biscuit that can be made from the given 4/12 batches of biscuit be determined.

By proportion, since it is given that the one biscuit recipe requires 3/4 cups of flour, it consequently can be inferred that;

In 4/12 cups of flour, the number of batches she can make is;

= 4/12 ÷ 3/4

= 4/12 × 4/3

= 16 / 36

= 4 / 9 batches of biscuits.

Ultimately, the number of batches of biscuits she can make is; 4 / 9 batches of biscuits.

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The runway is 12100 ft long

The area of a rectangle is given as:

A = wl

Where w is the width and l is the length

Given that A = 2, 057,000 sq. ft

w = 170 ft

Using these, we can easily find l

2,057,000 = 170l

l = 2,057,000/170

= 12100

total income= 2R-C-2P

R= omoun tof rent paid by each tenant = $700

C= cable bill = $100

P = Phone bill = $50

Replace the values:

Total income = 2(700)-100-2(50)

total income= 1,400-100-100 = 1,400-200= $1,200

Total income =$1,200

We have to calculate the perimeter of a pen that has an area expressed as

A = 3x²-7x+2.

We assume it is a rectangular pen, so it will have two different sides.

The area will be the product of this two side lengths, while the perimeter will be 2 times the sum of the lengths of the two sides.

Then, we start by rearranging the expression of A as a product of two factors.

We can do it by factorizing A.

To do that, we calculate the roots of A as:

Then, we can now express A as:

Then, we can consider the pen to be a rectangle (or maybe square, depending on the value of x) with sides "3x-1" and "x-2".

Then, we can now calculate the perimeter as 2 times the sum of this sides:

Answer: we can express the perimeter as 8x-6.

1) First we compute:

Simplifying we get:

2)Computing the composition we get:

Answer:

To find:

The division of the polynomial.

Solution:

The division in given in the image below:

Thus, the result is:

Option D is correct.

For 24 / 48 simplest form find the maximum common divisor ( m.c.d)

In this special case ( but this not common) 24 divides exactly 48

so then 24/24 = 1. And 48/24= 2.

then the simplest form is 24/48= 1/2

In the part inside the yellow circle, we multiplied by 1 the term -c/a, that is

where 1 was written as 4a/4a.

Since we must add this result to

the answer is option C, change to LCD ( Least Common Denominator) because both terms must have the same denominator, which is 4a^2.

Given the sequence below

The sequence above is a geometric series, therefore the formula for the common ratio(r) is

Therefore,

Hence, the answer is

The half-life is 6300 years.

From the question, we have

t_1/2 = 0.693/k

where,

t_1/2 = half-life

k = decay constant = 0.00011

substituting the value, we get

⇒t_1/2 = 0.693/0.00011

⇒t_1/2 = 6300 years

Half Life Period:

One of the main terms used in physics to describe the radioactive decay of a specific sample or element over a predetermined amount of time is half-life, also known as half-life period. When studying the subject, nuclear physics students will frequently run into the phrase. The term "exponential decay" is also frequently used to refer to both exponential and non-exponential decay, which are both common forms of decay processes. In fields other than physics, the word is used to describe the biological half-life of specific substances in the human body or in medications.

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We are given the following equation in slope-intercept form.

The general form of slope-intercept form is given by

So, we see that

slope = m = -7

y-intercept = b = 1

The Slope can be written as

Also, the y-intercept is the point at which the line crosses the y-axis.

So all those options that say to start on the x-axis are incorrect.

We start at 1 on the y-axis and plot that point.

Then from there, we go up (rise) 7 units and to the left (run) 1 unit.

Go up means positive and go left means negative so the slope becomes -7.

Then plot that point and draw the line connecting the points.

Therefore, there is only one correct answer and that is

Start at 1 on the y-axis. Plot that point. Then from there, go up seven units and left one. Plot that point. Then draw the line connecting the points.

its and left one. Plot that point. Then draw the line connecting the points.

its and left one. Plot that point. Then draw the line connecting the points.

its and left one. Plot that point. Then draw the line connectinits and left one. Plot that point. Then draw the line connectinits and left one. Plot that point. Then draw the line connectinStart at 1 on the y-axis. Plot that point. Then from there, go up seven unG

Step 1: Problem

-x - 3y + 3z = 21

x + 4y + 5z = -1

5x + 7y - 2z = -34

Step 2: Concept

Apply substitute method to solve the three systems of equation.

Step 3: Method

Name the system of equations

-x - 3y + 3z = 21 ------------------------------ 1

x + 4y + 5z = -1 ------------------------------- 2

5x + 7y - 2z = -34 --------------------------3

From equation 1, make r subject of relation and substitute into 2 and 3

x = -3y + 3z - 21

Next, substitute x in equations 2 and 3.

In 2

- 3y + 3z - 21 + 4y + 5z = -1

y + 8z = -1 + 21

y + 8z = 20 ----------------------------------- (4)

In 3

5(-3y + 3z - 21) + 7y - 2z = -34

-15y + 15z - 105 + 7y - 2z = -34

-8y + 13z = - 34 + 105

-8y + 13z = 71 ------------------------------------- (5)

from 4, make y subject and substitute in 5

y = 20 - 8z

In 5

-8(20 - 8z) + 13z = 71

-160 + 64z + 13z = 71

77z = 71 + 160

77z = 231

z = 231/77

z = 3

y = 20 - 8(3)

y = 20 - 24

y = -4

x = -3y + 3z - 21

x = -3(-4) + 3(3) - 21

x = 12 + 9 - 21

x = 0

Step 4: Final answer

x = 0, y = -4 z = 3

Consider that the general equation of a circle is given by:

where (h,k) is the center of the circle and r is the radius.

Then, by comparing the given equation with the general equation, you can notice that:

25 = r^2 => r = 5

Hence, the radius of the circle is 5

Let's solve the following equation

c - 87 =42

Adding 87 at both sides:

c - 87 + 87 = -42 + 87

c = 45

Now the total interest for 42 months will be:-

So the total amount he has to pay after 42 months will be = 9000+4095

= $13095

So

So his monthly installment will be $ 311.79

So $ 311.79 is the correct option.

I'll inform that to the tech team

Meanwhile I'll help here, ok?

I asked if this part of the question was right: a + b < 0