Item 19 The staircase has three parallelogram-shaped panels that are the same size. The horizontal distance between each panel is 4.25 inches. What is the area of one panel?

Answers

Answer 1

Answer:

[tex]Area = 287\ in^2[/tex]

Step-by-step explanation:

Given

[tex]Length = 20.5[/tex]

[tex]Space = 4.25[/tex]

[tex]Panels = 3[/tex]

See attachment

Required

The area of one panel

From the attachment, the total width is 50.5in.

i.e.

[tex]Total\ Width = 50.5[/tex]

Given that there are 2 spaces between the 3 panels and each space has a length of 4.25 in.

The reduced width is:

[tex]Reduced\ Width = 50.5 - 2 * 4.25[/tex]

[tex]Reduced\ Width = 42[/tex]

At this point, we can calculate the width of one panel by dividing the reduced width by the number of panels (3).

[tex]Width = \frac{42}{3}[/tex]

[tex]Width = 14[/tex]

The area of one is:

[tex]Area = Length * Width[/tex]

[tex]Area = 20.5 * 14[/tex]

[tex]Area = 287\ in^2[/tex]

Item 19 The Staircase Has Three Parallelogram-shaped Panels That Are The Same Size. The Horizontal Distance

Related Questions

Nadia swims at a rate of 50 meters per minute. Create a function f, where f(n) gives the number of meters Nadia swims given the number of minutes she swims, n. Write the appropriate variable and symbol to correctly complete the equation for the function.

f(n) = 50 ________ ________

Answers

The function is f(n)=50n, where f(n) gives the number of meters, Nadia swims given the number of minutes she swims.

What is a function?

The function is defined as a mathematical expression that defines a relationship between one variable and another variable.

We are given the function f, where f(n) is the number of meters Nadia swims given the number of minutes she swims, n, can be written as ;

f(n)=50n.

This function that represents a linear relationship, where the output (the number of meters Nadia swims) is directly proportional to the input (the number of minutes she swims).

Therefore if Nadia swims for 10 minutes, the function will output 500 meters;

10 minutes x 50 meters/minute = 500 meters

Thus, the required function is;

f(n)=50n.

Learn more about the function here:

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Find the percentage change from
75 to 50.

Answers

Step-by-step explanation:

50÷75 is .6667. that means that 50 is 66.7 percent of 75.

100 minus 66.7 is 33.3. It is a 33.3 percent change

Answer:

-25%

Step-by-step explanation:

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How much fluid can a solid measuring 10 feet long, 12 feet wide, by 5 feet deep hold? do i need to multiply them all?

Answers

Answer:

Persuming your asking for volume, 600 ft³

Step-by-step explanation:

If your asking for volume, just multiply all of them

Which function below has a Domain of all Real Numbers (i.e. (-∞,∞))
A. Linear
B. Exponential
C. Quadratic
D. All of these functions have a domain of all real numbers (-∞,∞)

Answers

Answer:

all have domain of real numbers

Step-by-step explanation:

Which expression in equivalent to 48x-6+3y/3

Answers

Answer:

48x-6+y

Step-by-step explanation:

The expression that should be equivalent to the given expression is to be considered as the 16x - 2 + y.

Calculation of an expression:

Since the equation is [tex]48x-6+3y\div 3[/tex]

We have to divide by whole equation by 3

After dividing it, the expression should be like 16x - 2 + y.

Hence, The expression that should be equivalent to the given expression is to be considered as the 16x - 2 + y.

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Part A - Find the area of the shaded region. Round to the nearest hundredth. Just write the number with no unit attached. * 11 cm / Tan ་ 12 cm​

Answers

Answer

128.86

Step-by-step explanation:

The box is 11x12 so 132.

The circles area is 3.14, or

A = πr^2 = π·1^2 ≈ 3.14159

So 132-3.14 is 128.86

Which expression is equivalent to the expression -3(4x - 2) - 2x?
Answers:
-8x
-16x
-14x - 2
-14x + 6

Answers

Answer:

-14x+6

Step-by-step explanation:

we distribute -3 in to get:

-12x+6-2x

Combine like terms

-14x+6

Please help ASAP!
Two
angles, ZJ and ZK are supplementary. The measure of ZJ is (2x+5)°. The
measure of ZK is (3x-10)°. What is the measure of ZK?

Answers

Answer:

ZK = 95 degrees

Step-by-step explanation:

Supplementary angles are when the sum of 2 angles equals 180 degrees. Since ZJ and ZK are supplementary, we can add both of them to equal 180 degrees.

ZJ + ZK = 180

Our first objective: find the value of x

(2x + 5) + (3x - 10) = 180

2x + 5 + 3x - 10 = 180

Combine like terms

5x - 5 = 180

Add 5 to both sides to isolate variable x

5x = 175

Divide both sides by 5 to isolate variable x

x = 35

Plug in x value for ZK expression

3(35) - 10

Use PEMDAS

105 - 10

95

A bookstore tracked the data of the weight of their deliveries and the number of books in each box. They created a scatterplot and trend line based on the data. Which statement would be a reasonable prediction based on the scatterplot and trend line? A box with 10 books should weigh about 2 pounds. A box with 10 books should weigh about 4 pounds. A box with 10 books should weigh about 6 pounds. A box with 10 books should weigh about 12 pounds.

Answers

Answer:

b

Step-by-step explanation:

Answer:

I think its B

Step-by-step explanation:

pls tell me if im wrong D:

Which statement is true about the scatter plot? Select all that apply.

Answers

The scatter plot shows a correlation.

The bulb wattage is the independent variable.

Heat is the dependent variable.

Options A, C, and D are the correct answers.

What is a scatterplot?

A scatterplot is a type of graphical display that is used to represent the relationship between two continuous variables.

In a scatterplot, each point represents the values of the two variables, with one variable being plotted along the x-axis and the other variable being plotted along the y-axis.

The position of each point on the graph represents the values of both variables for that particular observation.

We have,

From the scatterplot,

We see that,

The bulb wattage is the independent variable.

Heat is the dependent variable.

Now,

As the bulb wattage increases, the heat also increases.

This means,

It shows a correlation.

Thus,

The scatter plot shows a correlation.

The bulb wattage is the independent variable.

Heat is the dependent variable.

Learn more about scatterplots here:

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Is (a + b) and (a - b)? perfect square trinomials?
O True
O False

Answers

Answer:

False

Step-by-step explanation:

Pos and negs cannot be perfect square trinomials

the answer should be false


Need help ASAP plz. Right answer plz.

Answers

25.5 dollars.

Graph the equation and see where the highest point on the graph is. The x coordinate is the price and the y coordinate is the profit.

The daily advertising revenue (in dollars) for a local newspaper is given by the function R(t) = -18t2 + 720t – 103, where t is number of years that the paper has been in production. What is the daily advertising revenue after the paper has been in business for 15 years?

Answers

Answer:

6647

Step-by-step explanation:

The computation of the advertising revenue for 15 years is shown below:

Given that

r(t) = -18t^2 + 720t - 103

where

t = number of years = 15

now put the value of t in the above equation

= -18(15)^2 + 720(15) - 103

= -4050 + 10,800 - 103

= 6647

What's 0.016 as a fraction

Answers

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Answer: 2/125

Explanation:

I hope this helped!

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Answer:

16/1,000

Understanding place values:

The first 0 before the decimal point in 0.016 represents ones, the 0 after the decimal point represents tenths, the 1 represents hundredths and the 6 represents thousandths. We use 1,000 in our fraction because of the place value.

Step-by-step explanation:

1. Convert 0.016 into a fraction:

   0.016 = 16/1,000

2. Simpilfy the fraction 16/1,000:

   16/1,000 ÷ 8 = 2/125

2/125 is equivalent to 0.016

Side Note: Step 2. is only for people looking for the simplified answer!

            ~Hope this helps!

           ~Hocus Pocus

Convert the following description to a proper scale ratio:

3 cm represents an actual distance of 15 m.

Answers

Answer:

1:500

Step-by-step explanation:

3cm:15m

1cm:5m

1cm:500cm

1:500

no photo??

how do u want me to help u when there's nothing

The sum of two numbers is -34 One number is 28 more than the other one. Find the numbers.

Answers

Answer:

-3 and -31

Step-by-step explanation:

x+y= -34

x-y= 28

solving

2x= -6

x=-3

y= -34+3=-31

Answer:

-31, and -3

Step-by-step explanation:

math is cool right, it's simple, just think it through.

What is the answer? ​

Answers

Answer:

1) 189.25 square inches

2) 21 square feet

Step-by-step explanation:

1) In order to find the area of a semicircle, you use  (πr^2)/2. When you plug in 3.14 as pi and 5 as your radius, you'll get 39.25. The area of the rectangle is base x height which is 10 x 15/150. 150 + 39.25 = 189.25

2) If you draw a vertical line that is parallel to the 2 feet measure, you'll have two rectangles with areas (5x3) and (3x2). 15 + 6 = 21

Please help! Due soon

Answers

Answer:

its 2/6

Step-by-step explanation:

in the sequence 80, 64, 48, 32, ..., what number should come next?
a) 96
b) 14
c) 31
d) 16

Answers

(b) sixteen is the answer

Answer:

16 should come next

Step-by-step explanation:

First, determine the rule

N, decreases by 16. We know this because 80-64 is 16, 64-48 is 16, 48-32 is 16, and so forth.

Therefore, subtract 16 from 32 to receive 16

Solve each equation b+3.3=8.9 what is b?

Answers

the answer will be 5.6 !

you can get this by doing 8.9 - 3.3 ! remember you can apply this to all problems by turning division to multiplication, addition to subtraction, etc.

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x²-x-2=(x-2)
its quadratic equation

yow guys help ur og right now
dont run away ​

Answers

Answer:

ig its -2 or 1

Step-by-step explanation:

Answer:

parabola

Step-by-step explanation:

is y+7=2x a direct variation

Answers

Answer:

No, y+7=2x does not represent direct variation

Step-by-step explanation:

No, y+7=2x does not represent direct variation, because of the constant (initial value) 7.

y = 2x represents direct variation; y = 2x - 7 does not.

if i helped 255 people and i only answered 38 questions whats my average number of people that i help per question?

Answers

Answer:

About 7 users per question

Step-by-step explanation:

Just divide the number of users helped by the number of questions answered.

Which side corresponds to angle ABC
1 point
ДАВС
B
A
хо
+
АВ
вс
СА

Answers

Answer:

C. CA

Step-by-step explanation:

The side that corresponds to angle ABC, is the side that is opposite to the vertex B.

From the figure given, side CA is directly opposite to vertex B.

Therefore, CA corresponds to angle ABC.

In Triangle JKL, K is 3 times the measure of J, and L is 8 times the measure of J. Find the measure of each angle in Triangle JKL.

Answers

Answer: The measure of angle J = 15°, measure of angle K  =45° and the measure of angle J = 120°.

Step-by-step explanation:

Let the measure of angle J be x.

Then, the measure of angle K will be 3x

and the measure of angle L = 8x

Since the sum of all angles of a triangle is 180 degrees.

Then,

angle J + angle K + angle L = 180 degrees

⇒ x+3x+8x =180

⇒ 12x = 180  

⇒x = 15  [divide both sides by 12]

Hence, the measure of angle J = 15°, measure of angle K = 3(15) =45° and the measure of angle J = 8 (15) = 120°.

i.e. the measure of angle J = 15°, measure of angle K  =45° and the measure of angle J = 120°.

Need help asap will give brainlest whatever it is call

Answers

4 small and 2 large: $17.90
x small and y large: 1.95x + 5.05y

There is a 0.9987 probability that a randomly selected 31​-year-old male lives through the year. A life insurance company charges ​$186 for insuring that the male will live through the year. If the male does not survive the​ year, the policy pays out ​$100,000 as a death benefit. Complete parts​ (a) through​ (c) below.

Answers

Parts a through c is missing and it is;

a) From the perspective of the 33-year-old male, what are the monetary values corresponding to the two events of surving the year and not surviving?

The value corresponding to surviving the year is $_____.

The value corresponding to not surviving the year is $_____.

b) If the 33-year-old male purchases the policy, what is his expected value?

The expected value is $_____.

c) Can the insurance company expect to make a profit from many such policies? Why?

_____ because the insurance company expects to make an average profit of $_____ on every 33-year-old male it insures for 1 year.

Answer:

A) the value that corresponds to surviving the year = - $186

The value corresponding to not surviving the year = $99814

B) μ = -$56

C) Yes, the company can make a profit from many such policies because it makes an average profit of $56 on every 31 year old male it insures for 1 year.

Step-by-step explanation:

A) The company charges $186 for insuring. Thus;

Amount paid out = - $186

Therefore, the value that corresponds to surviving the year = - $186

Therefore, the value corresponding to not surviving the year = $100000 - $186

The value corresponding to not surviving the year = $99814

B) since probability that a 31 year old male survives is 0.9987, then;

Probability that a male doesn't survive is;

P(doesn't survive) = 1 - 0.9987

P(doesn't survive) = 0.0013

The expected value is calculated from;

μ = Σx•P(x) = (0.0013 × 99814) + (-186 × 0.9987)

μ = -$56

C) Yes, the company can make a profit from many such policies because it makes an average profit of $56 on every 31 year old male it insures for 1 year.

Given the definitions of f(c) and g(x) below, find the value of g(f(5)).
f(x) = 2x – 10
g(x) = x2 + 6x – 8

Answers

Answer:

gf(5) = -8

Step-by-step explanation:

gf(x) = g(x^-1) = x^2 + 6x - 8

f(x) = 2x - 10

gf(x) = 6(2x - 10) - 8

gf(x) = 12x - 60 - 8

gf(x) = 12x - 68

gf(5) = gf(x) = 12x - 68

gf(5) = 12(5) - 68

gf(5) = 60 - 68

gf(5) = -8

Jasmine has twice as much money as Madison. Madison has $6 less than Devanie. Together they have $54. How much money does Madison have?

Answers

Answer:

madision be $12

Jasmine be $24

And, the devanie be $18

Step-by-step explanation:

The computation is shown below:

Madison be x

Jasmine be 2x

Devanie be x + 6

And, the total is $54

Now the equation is

x + 2x + x + 6 = $54

4x = $48

x = $12

So madision be $12

Jasmine be $24

And, the devanie be $18

There are 15 counters. One-third of the counters are yellow . How many counters are yellow?

Answers

Answer:

5

Step-by-step explanation:

15 counters/3groups=5 counters per group

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