please help!!! thank you ​

The area of the given figure (consisting of a semi-circle, rectangle and a triangle) is 157 cm² + 100 cm² + 30 cm² = 287 cm² (actual value). Rounded to the nearest tenth, the area is 287 cm².

The formula to find the area of a circle is given by the expression πr². The area of a square can be found by squaring its side length, i.e. side².

Lastly, the area of a triangle is given by the expression (1/2)bh, where b is the base length of the triangle and h is its height. Now, let's solve the given problem below:

Use 3.14 for PI.  

The area of the semi-circle can be found using the formula:Area of a semi-circle = (1/2)πr²Here, the radius (r) of the semi-circle is given as 10 cm.

Area of a semi-circle = (1/2) × 3.14 × (10 cm).

²Area of a semi-circle = 157 cm² (rounded to the nearest tenth).

The area of the rectangle can be found using the formula:Area of a rectangle = Length × Breadth.

Here, the length (l) of the rectangle is given as 20 cm and its breadth (b) is 5 cm.Area of a rectangle = 20 cm × 5 cmArea of a rectangle = 100 cm² (exact value)

The area of the triangle can be found using the formula:

Area of a triangle = (1/2) × base × heightHere, the base (b) and height (h) of the triangle are given as 10 cm and 6 cm, respectively.

Area of a triangle = (1/2) × 10 cm × 6 cmArea of a triangle = 30 cm² (exact value)

Therefore, the area of the given figure (consisting of a semi-circle, rectangle and a triangle) is 157 cm² + 100 cm² + 30 cm² = 287 cm² (exact value). Rounded to the nearest tenth, the area is 287 cm².

To know more about Area of a triangle visit:

brainly.com/question/27683633

#SPJ11

Answer:

3/2 is equivalent to 2/3 because

when u do 3/2 that means ur

doing 3x2 and 3x2 equals 6 and 2x3 eqauls 6.

A construction of the line plot for the given data set is shown in the image attached below.

In Mathematics and Statistics, a line plot can be defined as a type of graph that is used for the graphical representation of data set above a number line, while using crosses, dots, or any other mathematical symbol.

In this scenario and exercise, we would make use of an online graphing calculator (tool) to graphically represent the given data set on a line plot as shown in the image attached below.

In conclusion, we can reasonably infer and logically deduce that the mode of the data set is equal to 5 1/2 or 5.5 because it has the highest frequency of 3.

Read more on line plot here: brainly.com/question/28741427

#SPJ1

The function f(x) is discontinuous at x = 0 because the limit from both sides exists but is not equal to the value of the function at x = 0, which results in a jump discontinuity.

To determine whether the function is continuous at the point a = 0, we need to check if the limit of the function exists as x approaches 0 from both the left and the right sides, and if the limit from both sides is equal.

Let's start by looking at the limit as x approaches 0 from the left side. In this case, we have f(x) = cos(x), which means that the limit as x approaches 0 from the left side is equal to cos(0) = 1.

Now let's look at the limit as x approaches 0 from the right side. In this case, we have f(x) = 1 - x², which means that the limit as x approaches 0 from the right side is equal to 1 - 0² = 1.

Since the limits from both sides are equal to 1, we might be tempted to conclude that the function is continuous at a = 0. However, we also need to consider the value of the function at x = 0, which is f(0) = 0.

Since the limit from both sides is not equal to the value of the function at x = 0, we can conclude that the function is discontinuous at x = 0. More specifically, the function has a jump discontinuity at x = 0, where the function jumps from 0 to 1.

To know more about function here.

https://brainly.com/question/28193995

#SPJ4

Answer:

4(aaa - 44) = 64

Step-by-step explanation:

I think this is right.

Answer:

42 degrees

Step-by-step explanation:

Find opposite side of 132 degrees which is 48. Add 48 and 90 because of right angle to get 138. Then do 180-138 to get 42 degrees for remaining angle

Answer:

Step-by-step explanation:

132 is the exterior angle, which is the sum of the two non-adjacent interior angles:

An equation that is represented by the graph below include the following: 3) y = |x| - 3.

In Mathematics, the translation a geometric figure or graph downward simply means adding a digit to the value on the y-coordinate of the pre-image or function.

In Mathematics, a vertical translation to the positive y-direction (downward) is modeled by this mathematical expression g(x) = f(x) - N.

Where:

In conclusion, we can logically deduce that the graph of the parent function was y = |x| stretched away from the y-axis and translated by 3 units downward;

y = |x|

f(x) = |x| - 3

Read more on translation here: brainly.com/question/26869095

#SPJ1

a) The relationship between b and c is that c cannot be zero.

b) b can be any nonzero constant and c is equal to 2.5 in this case.

In two dimensions, the compatibility equations for strain are,0

∂εx/∂y + ∂γxy/∂x = 0

∂εy/∂x + ∂γxy/∂y = 0

where εx and εy are the normal strains in the x and y directions, respectively, and γxy is the shear strain.

Using the given strain field, we can calculate the strains,

εx = -4.5cx² + 10.5cy

εy = 1.5cx² - 7.5cy²

γxy = 1.5bxy

Taking partial derivatives and plugging them into the compatibility equations, we get,

⇒ -9cx + 0 = 0

⇒ 0 + (-15cy) = 0

These equations must be satisfied for the strain field to be compatible. From the first equation,

We get cx = 0, which means c cannot be zero.

From the second equation, we get cy = 0,

Which means b can be any nonzero constant.

For part b:

We are asked to find the displacements u and v corresponding to the given strain field at points (3, 7), assuming they are zero at point (0, 0) and using c = 2.5.

To find the displacement components,

We need to integrate the strains with respect to x and y. We get,

u = ∫∫εx dx dy = ∫(10.5cy) dy = 5.25cy²

v = ∫∫εy dx dy = ∫(1.5cx² ) dx - ∫(7.5cy²) dy = 0.5cx³ - 2.5cy³

Plugging in the values of c and b, we get,

u = 5.25(2.5)(7)²  = 767.62

v = 0.5(2.5)(3)³ - 2.5(7)³ = -8583.75

Therefore,

The displacements at points (3, 7) are u = 767.62 and v = -8583.75.

To learn more about derivatives visit;

https://brainly.com/question/29144258

#SPJ4

Answer:

number of members in 2006=190

230members on 2010

Step-by-step explanation:

2008-2006=2

20*2+150= 190 ans (1)

b)

20x+150=230

20x=230-150= 80

x= 80/20=4---ans (2)

The total amount of money she deposited is $45 + $45 = 2x$45

The linear correlation coefficient unknown population is denoted by the statistic r and correlation strength is denoted by the parameter p, respectively.

As a result, correlations are generally portrayed by the two integers r and p. A number of +1 denotes a fully linearly positive correlation, while a number of -1 denotes a fully linearly negative connection. The correlation coefficient has a range of -1 to +1. The linear correlation becomes weaker as r approaches closer to zero.

The sample correlation coefficient evaluates the scatter plot points and a linear regression line constructed from those points (r). The correlation coefficient, denoted as r, ranges in value from -1 to 1. A p-value is a measure of statistical significance.

To learn more about sample correlation coefficient,

https://brainly.com/question/25822940

#SPJ4

Answer: $5.50

Step-by-step explanation:

$275 x 2% = 550

550/100 = 5.5

The salesperson makes $5.50 in commission.

Answer:

She had $2.00 left.

Step-by-step explanation:

PEMDAS

$75 - [(3 x $4) + (2 x $20) + $21 ]

$75 - [ $12 + $40 + $21]

$75 - [ $52 + $21]

$75 - $73

$2

Answer:

i think its 20 or 9. depending what is on your paper or screen.

Answer:

-x^2-2x+3

Step-by-step explanation:

3 - (2x² + 3) + (x² - 2x + 3)

Distribute the minus sign

3 - 2x² - 3 + x² - 2x + 3

Combine like terms

- 2x²  + x² - 2x + 3-3+3

-x^2-2x+3

Answer:

x= 60° , y = 60 °

Step-by-step explanation:

x = 60°

y = 60°

plz mark my answer as brainlist plzzzz.

hope this will be helpful to you .

if you find it useful.

Step-by-step explanation:

the terms are 2k,15,m,3,n,7p.

variables are k,m,n,p

coefficients are 2,and 7

constants are 15 and 3

Answer: 12-pound bag of cat food

Step-by-step explanation:

12 pounds bag of cat food = $18

15 pounds bag of cat food = $24

Let's find the cost per pound of the 12-pound bag first

Take 18 divided by 12 = $1.50 per pound

Now find the cost per pound of the 15-pound bag

Take 24 divided by 15 = $1.60 per pound

So, buying a 12-pound bag of cat food is better because it is cheaper per pound.

Answer:Find out the expressions for the number of sweets sue and tony have now .

To proof

As given

Sue has 18 sweets. tony has 18 sweets.sue gives tony x sweets

thus

sue sweets = 18 - x

Tony sweets = 18 + x

As given

Sue then eats 5 sweets. Tony then eats half of his sweets

sue sweets becomes = 18 -5 -x

                                   = 13 - x

Hence proved

Step-by-step explanation:

The scatter plot that shows correlation with causation is (c)

A scatter plot is a type of graph that displays the relationship between two variables. The position of each point on the plot represents the value of both variables.

If there is a strong positive correlation between two variables, it means that as one variable increases, the other variable also tends to increase.

If there is a strong negative correlation, it means that as one variable increases, the other variable tends to decrease.

The scatter plot with the mst positive or negative correlation is c

This is the scatter plot that shows correlation with causation

Read more about scatter plot  at

https://brainly.com/question/23202763

#SPJ1

In this scenario, Firm B has the competitive advantage over Firm A. The reservation price represents the maximum price that a consumer is willing to pay for a product.

A higher reservation price indicates that consumers perceive more value in the product and are willing to pay a higher price for it.

Since Firm B's laptop has a reservation price of $1,200, compared to Firm A's reservation price of $1,000, it implies that consumers are willing to pay more for Firm B's laptop. This indicates that Firm B's laptop is perceived as having a higher value or quality by consumers.

Given that both firms produce the laptop at the same total cost, Firm B's higher reservation price indicates that it can potentially charge a higher price for its laptop while still remaining competitive in the market. This gives Firm B a competitive advantage over Firm A, as it has the opportunity to generate higher profits per unit sold or capture a larger market share by offering a product with a higher perceived value.

It's worth noting that other factors, such as marketing strategies, product features, brand reputation, and customer preferences, can also influence the competitive advantage between the two firms. However, based on the given information regarding the reservation prices, Firm B appears to have the competitive advantage in terms of consumer willingness to pay a higher price for its laptop.

Learn more about scenario here

https://brainly.com/question/29445672

#SPJ11

Answer: The answer is 80 degrees

Step-by-step explanation:

Interior consecutive angles add up to 180 degrees

Using linear function concepts, we have that:

a) S(x) = 18x + 193.

b) It means that each year the amount of online sales increased by $18 billion.

c) Online sales were of $229 billion in 2013.

A linear function is modeled in slope-intercept formula by:

\(y = mx + b\)

In which:

Item a:

For the parameters of the function, we have that:

Hence, the function is:

S(x) = 18x + 193.

Item b:

The slope is the rate of change, hence it means that each year the amount of online sales increased by $18 billion.

Item c:

This is x years after 2011, for which S(x) = 229, hence:

S(x) = 18x + 193

229 = 18x + 193

18x = 36

x = 2

Online sales were of $229 billion in 2013.

More can be learned about linear function concepts at https://brainly.com/question/24808124

Answer:d

Step-by-step explanation:

The answer is d. None of the above is true.

To calculate velocity, we need to use the equation:

Velocity = M * P / Y

Given:

M = 1,000

P = 2.25

Y = 2,000

Plugging in the values:

Velocity = 1,000 * 2.25 / 2,000

Simplifying:

Velocity = 2.25 / 2

The result is:

Velocity = 1.125

Therefore, the correct answer is: d. None of the above is true.

Learn more about velocity

https://brainly.com/question/30559316

The equation for the given parabola is; x = ¹/₁₂(y - 3)² - 2

From the graph, we see that;

Focus = (1, 3)

Directrix; x = -5

General form of equation of a parabola is;

(y - k)² = 4p(x - h)

where;

focus is (h + p, k)

directrix is x = h - p

Thus;

(1, 3) = (h + p, k)

h + p = 1  -----(1)

k = 3

Similarly;

h - p = -5   -----(2)

Add eq 1 to eq 2 to get;

2h = -4

h = -2

-2 - p = -5

p = 3

Thus, equation of the parabola is;

(y - 3)² = 4(3)(x - (-2))

(y - 3)² = 12(x + 2)

divide both sides by 12 to get;

¹/₁₂(y - 3)² = x + 2

x = ¹/₁₂(y - 3)² - 2

Read more about Equation of Parabola at; https://brainly.com/question/4061870

#SPJ1

The lines intersect at the point (3,-2,10).

To determine whether the lines intersect, we need to find out whether there exists values of t and s that make the x, y,

and z values equal for both lines.

Setting the x-values equal, we get:

2t + 1 = 2s - 1

Solving for t in terms of s:

t = (2s - 2)/2 = s - 1

Setting the y-values equal, we get:

t - 2 = s - 3

Solving for t in terms of s:

t = s - 1

Since we get the same expression for t in terms of s when setting the x-values and y-values equal, we can substitute

that expression for t into the z-values for both lines and set them equal:

9t + 1 = s

Substituting t = s - 1:

9(s - 1) + 1 = s

Simplifying:

8s - 8 = 0

Solving for s:

s = 1

Substituting s = 1 into the expression for t, we get:

t = s - 1 = 0

for such more question on lines intersect

https://brainly.com/question/14323743

#SPJ11