3.
5.
Unit 11-4 Study Guide and Intervention (continued)
Areas of Regular Polygons and Composite Figures
Areas of Composite Figures A composite figure is a figure that can be separated into regions that are basic figures.
To find the area of a composite figure, separate the figure into basic figures of which we can find the area. The sum of
the areas of the basic figures is the area of the figure.
Example: Find the area of the shaded region.
3m
The figure is a rectangle minus one half of
a circle. The radius of the circle is one half of 30 or 15.
A=lw-ar²
50 f
15 ft
20 m
Chapter 11
= 50(30) – 0.5x(15)2
1146,6 or about 1147 ft²
Exercises
Find the area of each figure. Round to the nearest tenth if necessary.
1.
2.
30 ft
14 cm
34 ft
38 cm 40 cm
598.4ft
10 cm.
.
64 m
466 cm²
140 m
20 m
1920m²
4.
6.
b.
26
The dimensions of the rectangle are
10 centimeters and 30 centimeters. The area of the
shaded region is
(10)(30)-3(52)=300-75x
24 in
40 in.
42 cm-
5 cm
24 in.
122 cm-
H
35 yd
960in²
64.4 cm²
r
104cm2
15 yd
€265.5 yd
Glencoe Geometry

Answer:

A, 95.

Step-by-step explanation:

The answer is 95 because the square is at a curve at the bottom right, so you need to subtract that amount from the original area, which is 100. So the actual answer is 95, hope this helped!

Answer:

11/1 or 11

Step-by-step explanation:

The scale of the y-axis is 11 and the scale of the x-axis is 1.  As said before the Unit Rate is y/x

If you pick one point, let's say (2,22), that will give you 22/2. If we simplify that fraction you get 11/1 or 11.

a. The graph of the budget line would have hamburgers on the x-axis and bags of figs on the y-axis. b. the budget line equation represents Rachel's affordability based on her income and the prices of hamburgers and figs. Changes in prices, income, or additional resources can affect the slope, position, or rotation of the budget line on a graph.

a) Rachel's budget line equation can be written as follows:

Budget = (Price of Hamburger * Quantity of Hamburgers) + (Price of Figs * Quantity of Figs)

Since the price per hamburger is $3 and the price per bag of figs is $2, the equation becomes:

Budget = 3x + 2y

Where x represents the quantity of hamburgers and y represents the quantity of bags of figs. The graph of the budget line would have hamburgers on the x-axis and bags of figs on the y-axis.

b) If the price of figs increases to $3, the new budget line equation becomes:

Budget = 3x + 3y

The graph of the new budget line would show a steeper slope compared to the original budget line. This indicates that the relative price of figs has increased, making them relatively more expensive compared to hamburgers.

c) In this scenario, Rachel has an income of $50, the price per hamburger is $3, the price per bag of figs is $3, and she receives an additional $10 in cash from a friend. The new budget line equation can be written as:

Budget = (3x + 3y) + 10

The graph of the new budget line would shift upward parallel to the original budget line. The additional cash from Rachel's friend increases her purchasing power, allowing her to afford more hamburgers and/or bags of figs.

d) Now, Rachel's friend gives her a gift basket containing 3 free bags of figs. In this case, the budget line equation remains the same as in part c:

Budget = (3x + 3y) + 10

However, since Rachel receives 3 free bags of figs, she can allocate more of her budget towards purchasing hamburgers. This would cause the budget line to rotate outward from the y-intercept, resulting in a flatter slope. The new budget line would reflect Rachel's ability to purchase more hamburgers with the same income and price of figs.

In summary, the budget line equation represents Rachel's affordability based on her income and the prices of hamburgers and figs. Changes in prices, income, or additional resources can affect the slope, position, or rotation of the budget line on a graph.

Learn more about budget here

https://brainly.com/question/29028797

#SPJ11

9514 1404 393

Answer:

Step-by-step explanation:

The formulas tell you for a circle of radius 6, ...

  C = 2π(6) = 12π

  A = πr² = π(6²) = 36π

__

a)

Arc NQ is 1/4 of the circumference of the circle, so will have length ...

  NQ = 1/4C = 1/4(12π)

  NQ = 3π . . . . units

__

b) Each sector is 1/4 the area of the circle. The area of one sector is ...

  sector area = 1/4A = 1/4(36π)

  sector area = 9π . . . . square units

__

c) The total path length is equal to the sum of the lengths of the pieces of the path length. Each radius is 6 units.

PRQNP = PR +RQ +QN +NP

  = PR +RQ +QN +NR +RP

  = 6 +6 +3π +6 +6

path length = 24 +3π . . . . units

__

Numerical answers (rounded to hundredths):

  NQ ≈ 9.42 u

  area ≈ 28.27 u²

  PRQNP = 33.42 u

Answer:

X=5

Step-by-step explanation:

Answer:

x = -13/4

Step-by-step explanation:

2x + 1 : 4x + 13 = "number of purple tiles" : "number of white tiles"

We know that "of the tiles" are purple, so we can also write:

(number of purple tiles) / (number of total tiles) =

Combining these two equations, we get:

(2x + 1) / (2x + 1 + 4x + 13) =

Simplifying the denominator, we get:

(2x + 1) / (6x + 14) =

Cross-multiplying, we get:

(2x + 1) = (6x + 14)

Expanding the brackets, we get:

2x + 1 = 6x + 14

Subtracting 2x from both sides, we get:

1 = 4x + 14

Subtracting 14 from both sides, we get:

-13 = 4x

Dividing both sides by 4, we get:

x = -13/4

However, since x represents the number of tiles, it doesn't make sense for it to be negative. Therefore, there must have been a mistake in the question or my working so I'm not entirely sure. Hopefully the work can help out a little though.

Answer: (2, -1)

Step-by-step explanation:

To determine if an ordered pair is a solution to an inequality, we substitute the values of x and y into the inequality and see if the resulting expression is true or false.

A. For (7,2), we have:3(7) + 4(2) = 21 + 8 = 29 29 > 5, so (7,2) is not a solution to the inequality.

B. For (2,-1), we have:3(2) + 4(-1) = 6 - 4 = 2 2 ≤ 5, so (2,-1) is a solution to the inequality.

C. For (5,-1), we have:3(5) + 4(-1) = 15 - 4 = 11 11 > 5, so (5,-1) is not a solution to the inequality.

D. For (6,1), we have:3(6) + 4(1) = 18 + 4 = 22 22 > 5, so (6,1) is not a solution to the inequality.

So, the ordered pair that is a solution to the inequality is (2,-1).

The abscissa on the curve x^2 = 2y which is nearest to the point (4,1) is x = √(3/8).

Given the equation x^2 = 2y.

The coordinates of the point are (4,1).We have to find the abscissa on the curve that is nearest to this point.So, let's solve this question:

To find the abscissa on the curve x2 = 2y which is nearest to the point (4,1), we need to apply the distance formula.In terms of x, the formula for the distance between a point on the curve and (4,1) can be written as:√[(x - 4)^2 + (y - 1)^2]But since x^2 = 2y, we can substitute 2x^2 for y:√[(x - 4)^2 + (2x^2 - 1)^2].

Now we need to find the value of x that will minimize this expression.

We can do this by finding the critical point of the function: f(x) = √[(x - 4)^2 + (2x^2 - 1)^2]To do this, we take the derivative of f(x) and set it equal to zero: f '(x) = (x - 4) / √[(x - 4)^2 + (2x^2 - 1)^2] + 4x(2x^2 - 1) / √[(x - 4)^2 + (2x^2 - 1)^2] = 0.

Now we can solve for x by simplifying this equation: (x - 4) + 4x(2x^2 - 1) = 0x - 4 + 8x^3 - 4x = 0x (8x^2 - 3) = 4x = √(3/8)The abscissa on the curve x^2 = 2y that is nearest to the point (4,1) is x = √(3/8).T

he main answer is that the abscissa on the curve x^2 = 2y which is nearest to the point (4,1) is x = √(3/8).

The abscissa on the curve x^2 = 2y which is nearest to the point (4,1) is x = √(3/8).

To know more about abscissa visit:

brainly.com/question/32034993

#SPJ11

Answer:

the answer is -3x+2 good luck

Answer:

y=x+2

Step-by-step explanation:

use the formula y=mx+c

first u find m which is the gradient 3-1/5-3 = 2/2=1

sub in any point to find the c

5=1(3)+c

c=2

y=1x+2

To find the missing sides and angles of a right triangle with side b = 32 and side c = 51, we can use the Pythagorean theorem and trigonometric ratios.

Let's denote the missing side as a and the angles as A and B, with B being the right angle.

Using the Pythagorean theorem, we know that in a right triangle, the sum of the squares of the two legs (a and b) is equal to the square of the hypotenuse (c):

a^2 + b^2 = c^2

Plugging in the given values, we have:

a^2 + 32^2 = 51^2

a^2 + 1024 = 2601

a^2 = 1577

a ≈ 39.73

Therefore, the length of the missing side a is approximately 39.73.

Learn more about Pythagorean theorem here: brainly.com/question/14930619

#SPJ11

The volume of the square pyramid is  400 m³

The formula that is used for calculating the volume of a square pyramid is expressed as;

V = a²h/3

Such that the parameters of the given equation is;

From the information given in the diagram, we have that;

a , length of side = 10m

Height = 12m

Substitute the values, we have;

Volume = 10² × 12/3

Divide the values, we have;

Volume = 10² × 4

Find the square

Volume = 100 × 4

Multiply the values, we get;

Volume = 400 m³

Learn more about volume at: https://brainly.com/question/1972490

#SPJ1

Answer:

Find the x-intercepts.

x-intercept(s):

(9,0)

Find the y-intercepts.

y-intercept(s):

(0,−9/2)

List the intersections.

x-intercept(s):

(9,0)

y-intercept(s):

(0,−9/2)

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):

(−27/7,0)

y-intercept(s):

(0,−27)

Step-by-step explanation:

Hope it is helpful....

The expression for dy/dx is dy/dx = -x/y. Given the equation x^2 + y^2 = 4, we'll differentiate both sides of the equation with respect to x, treating y as a function of x.

To find the expression for dy/dx using implicit differentiation, we differentiate both sides of the equation x^2 + y^2 = 4 with respect to x.

Differentiating x^2 + y^2 = 4 implicitly, we get:

2x + 2yy' = 0

Next, we isolate the derivative term, dy/dx:

2yy' = -2x

Now, we can solve for dy/dx:

dy/dx = (-2x)/(2y)

dy/dx = -x/y

Learn more about expression here:

https://brainly.com/question/32518278

#SPJ11

The x coordinate of the relative minima and maxima of the function

f(x) = 4x^3 + 11x^2 - 5 is

The relative minima and relative maxima are point on a graph of curves that gives the minimum and maximum points.

How to calculate the relative minima and maxima

Data gotten from the equation include:

f(x) = 4x^3 + 11x^2 - 5

To get the relative minima and the relative maxima we differentiate two times and watch the sign

f(x) = 4x^3 + 11x^2 - 5 x =

f'(x) = 12x^2 + 22x

equate the derivative to zero and solve for x

0 = 12x^2 + 22x

0 = 2x(6x + 11 )

x = 0    OR    x = -11/6

f''(x) = 24x + 22

at x = 0

f''(x) = 22 (minimum)

at x = -11/6

f''(x) = -22 (maximum)

Learn more on relative minima and maxima: https://brainly.com/question/9839310

#SPJ1

Answer:

sandwiches n[S]=4

drinksn[D]=3

desserts[d]=2

total n[T]=9

number of possible choices for:

4 sandwiches=n[S]/n[T]=4/9

For

3 drinks=n[D]/n[T]=3/9=1/3

and

For 2 desserts=n[d]/n[T]=2/9

Answer:

dont know bro

Step-by-step explanation:

Answer:

the width is 8 inches

Step-by-step explanation:

area=length x width

88=11(w)

w=8

Answer:

8

Step-by-step explanation:

A flyer is the shape of a rectangle ad its area uses the formula A = l*w. Since the area is 88 and the length is 11 inches, then 88 = 11*w. Solve for w.

88/11 = 11w/11

8=w

The second-order partial derivative of the function ℎ(u,v) = u/(u + 16v) is: ∂²ℎ/∂u² = -32v / (u + 16v)²

How to find second-order partial derivative?

To compute the second-order partial derivative, we first differentiate ℎ(u,v) with respect to u to obtain the first derivative (∂ℎ/∂u). Then we differentiate (∂ℎ/∂u) with respect to u again to obtain the second derivative (∂²ℎ/∂u²).

To find ∂ℎ/∂u, we use the quotient rule:

∂ℎ/∂u = [(1)(u + 16v) - (u)(1)] / (u + 16v)²

       = (u + 16v - u) / (u + 16v)²

       = 16v / (u + 16v)²

Now, to find ∂²ℎ/∂u², we differentiate ∂ℎ/∂u with respect to u:

∂²ℎ/∂u² = d/du (16v / (u + 16v)²)

        = -32v / (u + 16v)²

Therefore, the second-order partial derivative of ℎ(u,v) with respect to u is -32v / (u + 16v)².

To know more about partial derivative, refer here:
https://brainly.com/question/6732578
#SPJ4

6 plates with 3 spoons or 9 plates with 2 spoons

9514 1404 393

Answer:

  8

Step-by-step explanation:

Apparently, you want to evaluate ...

  0.1m +8 -12n

for m = 30 and n = 1/4.

Put the numbers where the corresponding variables are and do the arithmetic.

  = 0.1×30 +8 -12×(1/4) = 3 + 8 -3

  = 8

155^A.The measure of LMN in kite KLMN is 155°.

A kite's main characteristic is that it has two pairs of congruent adjacent sides, with one set of diagonally opposite angles being equal, but the other set not. In a kite, these angles have different degree measures.

Kite KLMN has two pairs of adjacent sides that are congruent, and its diagonal is not perpendicular. So, angle KLM is 106°, angle KLN is 99°, and angle KMN is 49°. Since the sum of the internal angles of a quadrilateral is 360 degrees, we can use the following formula to calculate the angle LMN:360 - (angle KLM + angle KLN + angle KMN) = angle LMN360 - (106° + 99° + 49°) = 106°.Therefore, the measure of LMN in kite KLMN is 155°.

learn more on Kite AT:https://brainly.com/question/365385

#SPJ11

If one of the car is driving 0 degree forward, and the second car is driving 30 degrees forward, then after two hours, we can use:

tan 30degrees = x/100

x = 100 tan 30degrees

x = 57.735km

The rate of change in height when height is 6 inches is 2.37 inches per second approximately.

We know that the volume of cube with length L, width W and height H is given by,

V = L*B*H

So given that the length is 15 inches

the width is 16 inches

Let the height be h inches.

So now the volume is given by,

V = 15*16*h

Differentiating the volume with respect to time 't' we get,

dV/dt = 15*16 dh/dt

Now given that the rate of change in volume per second is 569 cubic inches.

So, dV/dt = 569

So, 15*16 dh/dt = 569

dh/dt = 569/(15*16) = 569/240 = 2.37 (approx)

So the rate of change in height is 2.37 inches approximately.

To know more about Volume refer to:

https://brainly.com/question/1972490

#SPJ4

The probability that it would have to land on tails is 1

The coin is known to have two sides.

The two sides of a coin are the head and the tail

the probability of head is given as 50 percent

The probability of tail is also given as 50 percent

Given that the coin is going to be flipped two times, the probability that it would have to land on tail is given as

2 * 50 percent

= 2 * 0.5

= 1

Read more on probability here:https://brainly.com/question/24756209

#SPJ1

To calculate the number of tiles needed for the walls of a bathroom, we need to determine the total area of the walls and divide it by the area of each tile.

Given:

Length of the bathroom = 2.7 meters

Width of the bathroom = 2.25 meters

Height of the bathroom = 3 meters

Size of each tile = 15cm by 15cm = 0.15 meters by 0.15 meters

First, let's calculate the total area of the walls:

Total wall area = (Length × Height) + (Width × Height) - (Floor area)

Floor area = Length × Width = 2.7m × 2.25m = 6.075 square meters

Total wall area = (2.7m × 3m) + (2.25m × 3m) - 6.075 square meters

= 8.1 square meters + 6.75 square meters - 6.075 square meters

= 8.775 square meters

Next, we calculate the area of each tile:

Area of each tile = 0.15m × 0.15m = 0.0225 square meters

Finally, we divide the total wall area by the area of each tile to find the number of tiles needed:

Number of tiles = Total wall area / Area of each tile

= 8.775 square meters / 0.0225 square meters

= 390 tiles (approximately)

Therefore, approximately 390 tiles are needed to cover the walls of the given bathroom.

Learn more about tiles problem here:

https://brainly.com/question/30382899

#SPJ11

Answer:

Top left and bottom one

Step-by-step explanation:

The first x-value when the y-value of equation 2 is higher than the y-value of equation 1 will be less than - 0.044.

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The equation of the functions is given below.

Equation  1: f(x) = 2x³ + 24x + 2

Equation 2: f(x) = 4ˣ

The graph of the functions is given below.

From the graph, the intersection of the graph is at (-0.044, 0.9407).

The first x-value when the y-value of equation 2 is higher than the y-value of equation 1 will be less than - 0.044.

More about the function link is given below.

https://brainly.com/question/5245372

#SPJ1

Answer:

5

Step-by-step explanation:

Answer: The 8 is in the thousandths place

Step-by-step explanation:

The 5 is in the ones place, 6 is the tenths, 7 is the hundredths which makes 8 the thousandths place.