The perimeter of Mark's deck in real life is calculated by converting the layout measurements to actual measurements using the scale factor and then applying the perimeter formula. The perimeter is found to be 160 meters.
To calculate the perimeter of Mark's deck, which is represented on a layout where the scale is 1 centimeter = 10 meters, we use the perimeter formula for a rectangle: Perimeter (P) = 2 * (length + width). Since both the length and width of Mark's deck are provided as 4 centimeters each, and each centimeter corresponds to 10 meters in reality, we first convert the measurements from centimeters to meters by multiplying them by the scale factor.
Length in meters = 4 cm * 10 meters/cm = 40 meters
Width in meters = 4 cm * 10 meters/cm = 40 meters
Now, calculate the perimeter:
P = 2 * (40 meters + 40 meters)
P = 2 * 80 meters
P = 160 meters
The real-life perimeter of Mark's deck is 160 meters.
35 feet. The distance from the slide to the bench is 12 feet. Use the Pythagorean theorem to find the distance from the bench to the swings.
the answer to this question is 37
3. Haruto was the starting pitcher for his baseball team. In his last two games, the coach kept a close eye on the number of pitches, balls, and strikes he threw.
(a) In the first game recorded, the coach wrote 60%, or 54 pitches, were strikes. Find the total number of pitches Haruto threw in this game.
(b) In the second game recorded, the coach recorded 40%, or 34 pitches, were balls. Find the number of strikes and the total number of pitches he threw in this game.
Answer:
90
Step-by-step explanation:
:P
Find the slope and the y-intercept in this equation: 3y+6=-2x
am always plans his leisure time for surfing the Internet and painting in the same ratio. Use the information given to complete the table. Internet surfing (min) Painting (min) 24 24 36 40 33 44
Is 6 pints is greater than less than or equal to 60 fluid ounces
Use what you learned in the lesson and the online content to answer the following question: Which renewable source of energy should the United States focus its research and development efforts to make this source of energy our country’s main energy source by the year 2050? Why?
Answer:
Renewable electricity
Step-by-step explanation:
Renewable electricity is an option for everybody. Using a small solar panel device can create renewable electricity for your home. Renewable electricity is safer and cleaner.
The renewable source of energy is the generation of energy from naturally extracted resources. These sources are naturally replenishing due to excess consumption and overpopulation.
These renewable sources are virtually inexhaustible. The types of renewable energy sources are: biodiesel, wind, solar, hydropower, and many more.
Renewable electricity is the source of energy upon which the United States must focus its research and development efforts.
Renewable electricity is the most suitable option over which the research and development must focus for making it one of the main sources of energy for the country by the yer 2050.
This can be done by using solar panel devices at homes and factories so that they can generate their own electricity. This will help in saving the electricity supply from the poles.
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Complete the compass rose below with the correct bearings, please help ASAP
Laura bought a square canvas to paint a picture of her cat one side measured 22 centimeters what is tha area of the canvas
Felicia had made 1/4 gallon if punch and poured an equal amount into 8 glasses.would the amount i n each glass be more ot less than 1/16 gallon?
The formula that relates the length of a ladder, L, that leans against a wall with distance d from the base of the wall and the height h that the ladder reaches up the wall is mc024-1.jpg. What height on the wall will a 15-foot ladder reach if it is placed 3.5 feet from the base of a wall? 11.5 feet 13.1 feet 14.6 feet 15.4 feet
Answer: 14.6 feet
Step-by-step explanation:
Since, here a ladder which has the length 15 foot and it is far from the base of the wall by 3.5 feet.
Here L represents the length of the ladder while d represents the distance of the ladder from the base of the wall. ( shown in figure)
While h represents height that the ladder reaches up the wall.
Thus, L= 15 foot, d= 3.5 foot
Then on applying Pythagoras theorem,
[tex]L^2=d^2+h^2[/tex]
⇒[tex]15^2=3.5^2+h^2[/tex]
⇒[tex]225=12.25+h^2[/tex]
⇒[tex]h^2=21.75[/tex]
⇒[tex]h=14.5859521458[/tex]≈ 14.6 foot
Thus,height that the ladder reaches up the wall= 14.6 foot ( approx)
What mixed number does it show?
A box is filled with black (B), white (W), red (R), green (G), and pink (P) phone cases. A phone case is selected at random.
What is the sample space for this experiment?
S = {B, W, R}
S = {B, W, R, G, P}
S = {G, P}
S = {B, R, G, P}
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Twenty-four students took a test. Fourteen students earned an A and 10 students earned a B. A student will be randomly chosen.
What is the probability that the student earned an A on the last test?
Enter your answer as a fraction, in simplest form, in the box.
ANSWER 1 :
Sample Space ( S )= {B, W, R, G, P} Option (ii)
Explanation:
There are five types of phone cases. Colors of the phone cases are Black, White, Red, Green, Pink.
One phone case is selecte as random, in this case we have 5 choices to select one phone case at a time.
So, Sample space is S = {B, W, R, G, P} Option(ii)
Final answer.
Answer 2 :
Probability for student earn grade A = [tex] \frac{7}{12} [/tex]
Explanation :
There are total 24 students in a class.
All student appeared in a test.
14 students are got grade A
and 10 students are got grade B.
One student choose at random whose grade is A.
Probability for selected grade A student = (total students of grade A)/(Total number of student in a class)
Probability for selected grade A student = [tex] \frac{14}{24} [/tex]
Probability for selected grade A student =[tex] \frac{7}{12} [/tex]
Final answer.
What is the slope of the function?
how too solve for x 5x+8
The front of an a-frame house is in the shape of a triangle.The height of the house is 20 feet.The area of the front of the a-frame is 600 square feet.Write and solve an equation to find the base of the A-frame house
Answer:
60 feet
Step-by-step explanation:
Multiply the area by 2 to get 1200 feet. then, divide by 20 to get 60. The base of the a-frame is 60 feet.
What is 2/5³? Please put it in simplest form.
A circular garden has a circumference of 44 yards. Lars is digging a straight line along a diameter of the garden at a rate of 7 yards per hour. How many hours will it take him to dig across the garden?
It will take almost 2 hours to dig across the garden.
What is circumference of circle?"It is the length of the boundary of the circle."
Formula for the circumference of circle:[tex]c = 2\times \pi \times r[/tex]
What is rate?"It is the distance covered per unit times."
For given question,
A circular garden has a circumference of 44 yards.
⇒ C = 44
⇒ 2 × π × r = 44
⇒ 2 × r = 14.01 yards
We know, the diameter of the circle is d = 2 × r
This means, the diameter of the circular ground is 14.01 yards.
here, the rate (s) = 7 yards per hour
Using the formula of rate,
[tex]\Rightarrow s=\frac{d}{t}\\\\\Rightarrow 7=\frac{14.01}{t}\\\\ \Rightarrow t= 2.001\\\\ \Rightarrow t\approx 2~~hours[/tex]
Therefore, it will take him almost 2 hours to dig across the garden.
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I hope you can see the picture
Bill was able to walk 2 more than twice as many dogs as his friend Steve. Write an algebraic expression to represent the number of dogs Bill walked compared with Steve.
BD is the perpendicular bisector of AC. What is the length of AC?
Answer:
AC = 12 units.
Step-by-step explanation:
Given : A triangle ABC with BD is the perpendicular bisector of AC.
To find : What is the length of AC.
Solution : We have given triangle ABC with BD is the perpendicular bisector of AC.
Bisector : Which cut the line equally in to two part.
So , BD cut AC in two equal part AD = DC.
We can write
AC = AD + DC.
Plug the values DC = 6 , AD =DC = 6.
AC = 6 + 6
AC = 12 units.
Therefore , AC = 12 units.
what is the surface area of this triangular prism
Find two consecutive whole numbers that square root 62 lies between
The square root of 62 lies between the consecutive whole numbers 7 and 8, because 7² is 49 and 8² is 64, and 62 is between these two square numbers.
Explanation:The student is asking for two consecutive whole numbers between which the square root of 62 lies. First, identify the whole numbers whose square roots are immediately less than and greater than √62. Considering square numbers we know, 7² = 49 and 8² = 64. Since 49 < 62 < 64, the square root of 62 must be between 7 and 8. Therefore, the two consecutive whole numbers are 7 and 8, as √62 is greater than 7 but less than 8.
which are the roots of the quadratic function f(q) = q^2 - 125? check all that apply.
What is the value represented by the letter A on the box plot of the data?
{10, 12, 15, 21, 24, 30}
Enter your answer in the box.
The value of letter A on the box plot is given by A = 10
What is box plot?A box and whisker plot, often known as a box plot, shows a data set's five-number summary. The minimum, first quartile, median, third quartile, and maximum make up the five-number summary.
here, we have,
we know that,
A box is drawn from the first quartile to the third quartile in a box plot. At the median, a vertical line passes through the box.
It is used when showing the distribution of data points across a selected measure and if the box in a box plot is stretched in one direction or the other, then the data is skewed in that direction.
Given data ,
Let the box plot be represented as Z
Now , the values of the data from the box plot is given by
Z = { 10 , 12 , 15 , 21 , 24 , 30 }
The value of the letter A from the box plot is the first value
where A = 10
Therefore , the value of A is 10
Hence , the box plot is solved
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Use elimination to solve the system of equations given by 3x + 4y = 5 and 21x + 28y = 35.
(0 = 0) is a true statement, it means that the system of equations has infinitely many solutions.
The correct option is (C).
To solve the system of equations using elimination, we'll manipulate one or both equations to eliminate one of the variables, either \(x\) or \(y\). Let's start by using elimination to eliminate \(x\).
Given the system of equations:
[tex]\[ \begin{cases} 3x + 4y = 5 \quad \quad \quad \quad \quad (1) \\21x + 28y = 35 \quad \quad \quad (2)\end{cases} \][/tex]
We can see that if we multiply equation (1) by 7, we can eliminate (x) when we add the equations together:
[tex]\[ 7(3x + 4y) = 7 \times 5 \][/tex]
[tex]\[ 21x + 28y = 35 \][/tex]
Now, we can rewrite equation (1) as:
[tex]\[ 21x + 28y = 35 \quad \quad \quad \quad \quad (3) \][/tex]
Now, we'll subtract equation (2) from equation (3):
[tex]\[ (21x + 28y) - (21x + 28y) = 35 - 35 \][/tex]
[ 0 = 0 ]
Since (0 = 0) is a true statement, it means that the system of equations has infinitely many solutions.
So, the correct answer is option C: Infinitely Many Solutions.
complete question given below:
Use elimination to solve the system of equations given by 3x + 4y = 5 and 21x + 28y = 35.
A. No Solution
B. (5/3, 0)
C. Infinitely Many Solutions
D. (0, 5/4)
ASAP
Anthony spent $11.23 on his lunch while Margo spent $8.96 on her lunch. Anthony paid with a twenty dollar bill and gave a $2.25 tip. How much did Anthony have left from his twenty dollar bill?
A. $13.48
B. $8.77
C. $6.52
D. $2.24
the answer is c
sorry if im wrong.
Lee and Lyn both invested their birthday money. Lee put his money in a savings account that earned 8% simple interest annually. Lyn put her money in an account that earned 8% interest compounded annually. Who made the better investment and why?
iT COST $9 TO GO TO PETE'S POTTERY PLACE TO MAKE YOUR OWN BOWLS $3 PER BOWL. NATALIE GOES TO PETE'S POTTERY PLACE AND MAKES B BOWLS. SHE DECIODES TO MAKE BOWLS 5 DAYS THIS MONTH SO SHE CAN SELL THEM AT A CRAFTS FAIR.
Part A:write an expression that will represent Natalite's total costy for this month.
What is the area of the trapezoid?
Enter your answer in the box.
[ in] and two at the top
Hallie hikes 5 miles in 90 minutes. At this pace, how long will it take her to hike the next 2 miles? Enter your answer in the box.