The play area in a local school is a rectangle that is 18’ x 40’ in size. The management about it to put a 4-foot side walk all around the building, leaving a 2-foot space for plants between the building and the sidewalk. Give the perimeter of the outer edge of the sidewalk and the area of the sidewalk itself?
Answer:
528 is the Area
148 is the Perimeter
Step-by-step explanation:
We know that there is a 4 foot ring around the building so we add 8 feet to 18 x 40 which is 26 x 48.
To find the perimeter we take the Length and Height times 2 and then add that together.
26•2=52
48•2=96
52+96=148
148 is the Perimeter.
To find the area of the sidewalk.
We have to multiply the area together.
4•48=192•2=384
18•4=72•2=144
528
Add that together you have the area of the sidewalk
Water boils at 100 degrees celsius or 212 degrees fahrenheit. Water freezes at 0 degrees celsius or 32 degrees fahrenheit. If the weather forecaster says it will be 25 degrees celsius today. write and solve a linear equation to find what fahrenheit temperature this is.
Answer:
given with two conditions: after 0 degrees Celsius, this is equal to 32 degrees Fahrenheit and after at 100 degrees Celsius, this is equal to 212 degrees Fahrenheit . We translate these into points, we have (0,32) and (100, 212). we get the slope of the points ((212-32)/100) or 9/5. we plug to the equation y-y1 = m (x-x1) where m is equal to 9/5. y-32 = 9/5 (x-0). Simplifying, we get y -32 = 9x/5 or equal to y = 9/5 x + 32 where x is degrees Celsius and y is degrees Fahrenheit.
hope this helps
The given temperature is required in Fahrenheit.
The required temperature is 77 degrees Fahrenheit.
Let the x axis denote Celsius
and y axis denote Fahrenheit
The ordered pairs are \((100,212)\) and \((0,32)\)
The equation of the line will be
\(y-212=\dfrac{32-212}{0-100}(x-100)\\\Rightarrow y-212=1.8(x-100)\\\Rightarrow y-212=1.8x-180\\\Rightarrow y=1.8x+32\)
The temperature is 25 degrees Celsius so \(x=25\)
\(y=1.8\times 25+32\\\Rightarrow y=77\)
The required temperature is 77 degrees Fahrenheit.
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What is the domain and range of:
Answer:
b
Step-by-step explanation:
how it works with life
What is the greatest common factor, or GCF, of 120 and 68?
Answer: 4
Step-by-step explanation:
What i do is i make a row by row of the multiples 1-10
and i check off after to see which is right
Answer:
4
Step-by-step explanation:
the ratio of the number of oranges to apples to bananas is 8:5:2. if there are 120 fruits in total, how many bananas are there
Answer:
Step-by-step explanation:
To find the number of bananas, we need to determine the proportion of bananas in the total number of fruits based on the given ratio.
Let's assume that the ratio of oranges, apples, and bananas can be represented by 8x, 5x, and 2x, respectively, where x is a common multiplier.
The sum of the parts in the ratio is 8x + 5x + 2x = 15x.
We know that the total number of fruits is 120. Therefore, we can set up the following equation:
15x = 120
To solve for x, we divide both sides of the equation by 15:
x = 120 / 15
x = 8
Now that we know the value of x, we can find the number of bananas by multiplying it by the corresponding part of the ratio:
Number of bananas = 2x = 2 * 8 = 16
So, there are 16 bananas in total.
We can add all the parts to the ratio and get 15. Out of 15 parts, 2 are bananas. Now we can calculate how many fruits are in one part. One fifteenth of 120 is 8, so there are 8 fruits in one part. 2 parts are bananas, so multiplying 8 with 2 gives us our answer, 16.
In the diagram below, all angles are given in degrees (°)
Find the value of x.
Answer:
\(x=20^o\)
Step-by-step explanation:
from the diagram, we can define the remaining angle in the quadrilateral through the sum of angles in any quadrilateral, which is \(360^o\), so the remaining unknown angle should be:
\(360-(50+2x+x)=310-3x\)
now that we have the unknown angle, we can find x through the point at which the outer angle is. \(x+90\) degrees. (sum of angles at one point is 360 degrees)
\(310-3x +x+90=360\\\\400-2x=360\\2x=400-360\\x=20^o\)
The value of variable x is,
x = 20
We have to given that,
In the diagram below, all angles are given in degrees.
Since, the sum of angles in any quadrilateral is, 360 degree.
Let measure of fourth angle is, y
Hence, We get;
(50 + 2x + y + x ) = 360
50 + 3x + y = 360
3x + y = 360 - 50
3x + y = 310
y = 310 - 3x
Now, We get;
(310 - 3x) + (x + 90) = 360
Solve for x,
310 - 3x + x + 90 = 360
400 - 2x = 360
400 - 360 = 2x
2x = 40
x = 40/2
x = 20
Therefore, The solution is, 20
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I'M SORRY WHAT IS THY ANSEWR?
super easy, giving brainliest
Answer:
-19
-18
(these two number are the answer for the first question
Step-by-step explanation:
:)
There were 9/12 gallons of white paint in storage. William used 2/7 of the paint for the fence. How much paint did he use?
How do you solve this?
Explain the cosine rule and sine rule while also saying how to use it and provide examples (keep it in simple terms)
Answer:
Sure, I'll explain the cosine rule and sine rule in simple terms:
The cosine rule (also known as the law of cosines) is used to find the length of a side or the measure of an angle in a triangle given the lengths of the other sides and the angle between those sides. It states that c^2 = a^2 + b^2 - 2ab cos(C), where c is the length of the side opposite angle C, and a and b are the lengths of the other two sides.
Here's an example of how to use the cosine
Suppose we have a triangle with sides a=6, b=8, and an angle between them c=45 degrees. We want to find the length of the remaining side of the triangle, side a.
Using the cosine rule:
a^2 = b^2 + c^2 - 2bc * cosA
where A is the angle opposite side a, we can plug in our values and solve for a:
a^2 = 8^2 + 6^2 - 2(8)(6) * cos(45)
a^2 = 64 + 36 - 96 * 0.707
a^2 = 10.56
a = sqrt(10.56)
a = 3.25 (rounded to two decimal places)
Therefore, the length of side a is approximately 3.25 units.
Answer:
Step-by-step explanation:
pleeeaaaaasssseeee help me
Answer:
3- 2 4/7
4- 10/21
5- 4
6- 40
Step-by-step explanation:
hope this helps!!! :D
Answer correctly and fast please.
Answer: C
Step-by-step explanation: your fast answer is C.
Find the diagonal of the box, AD, using the Pythagorean Theorem twice - 1. To find BD and 2. To find AD.
AB = 12 in
BC = 18 in
CD = 4 in
Show all steps for findin the diagonal of the box above using the formula instead of the Pythagorean Theorem twice.
Answer:
BD = √(18² +4²) = √340; AD = √(12² +(√340)²) = 22AD = √(12² +18² +4²) = 22Step-by-step explanation:
You want the space diagonal of the given box (a) using the Pythagorean theorem twice, and (b) using the formula.
Pythagorean theorem twiceThe length of BD can be found from ...
BD² = BC² +CD²
BD² = 18² +4² = 340
BD = √340 ≈ 18.439
and
AD² = AB² +BD²
AD² = 12² + 340 = 484
AD = √484 = 22
The lengths of the face and space diagonals are ...
BD = √340 ≈ 18.439AD = 22FormulaNo formula is given as part of the problem statement. We can simplify the above calculations to get ...
AD² = AB² +BD²
AD² = AB² +BC² +CD²
AD = √(AB² +BC² +CD²) . . . . . . a reasonable formula
AD = √(12² +18² +4²) = √(144 +324 +16) = √484
AD = 22
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What is the distance from (5, −18) to (5, 24)?
A. −42 units B. −6 units C. 6 units D. 42 units
Answer:
Step-by-step explanation:
b
Malika volunteers on the weekend at the Central Library. As a school project, she decides to record how many people visit the library, and where they go. On Saturday, 497 people went to The Youth Wing, 369 people went to Social Issues, and 416 went to Fiction and Literature.
On Sunday, the library had 1400 total visitors. Based on what Malika had recorded on Saturday, about how many people should be expected to go to The Youth Wing? Round your answer to the nearest whole number.
Answer:
397
Step-by-step explanation:
Someone help me with this ASAP!
Answer:
48.1 somewhere around 36 and 57
Step-by-step explanation:
Answer:
36-57
Step-by-step explanation:
18.50 x 2.6 = 48.10, which is between those two numbers
Please remember its estimation, not exact numbers.
estimation my guess
55
Step-by-step explanation:
Multiply the pairs of numbers and match them with their products. Tiles (-5)(4.2) (-7)(-3) (4) (5) (2.5)(-9) Pairs 22.5 21 -22.5 -21 111
Here are the pairs matched with their products:
- (-5)(4.2) matches with -21
- (-7)(-3) matches with 21
- (2.5)(-9) matches with -22.5
Pairs (4) and (5) do not have corresponding products in the given options.
7 ounce- 4.58$
15 ounce- 6.30$
Find the unit rate of both numbers
Answer:
7 ounces-4.58 = 1 ounce-0.654....
15 ounces-6.30= 1 ounce- 0.42
Explanation:
Divide 4.58 and 7 and divide 6.30 and 15.
And you get your answers.
I think im not really good with unit rate.
Help pls. Also wdym this is to short yk why so long >:/
Answer:
Y= mx + b
so Y = 1/3x + 2
just substitute
qestion in the photo
2) -3,3
Explanation : -3+3 =0
\( \)
PLS help me with theses Questions 30P + brainlyest
Answer: 3/2
4/(3/8)
9
21
Step-by-step explanation:
Answer:
3x1/2=3/2
Step-by-step explanation:
i cant read the rest its to small if you can take a picture of each problem then i can help u kay
have a nice day and just contact me when you took all the pictures kay!!
The scatter plot shows the resale value of the same make and model car and the age of the car in years. Predict the price you would pay if you purchase one of these cars that is 9.5 years old.
Answer: $4000
Step-by-step explanation:
In the age of cars you go 9.5 and then go up till you reach a part of the line. In that, you can see that 9.5 goes up and reaches the line at $4000.
The predicted price you would pay if you purchase one of these cars that is 9.5 years old is 4000.
What is a scatter plot?A scatter plot is a graphical representation of bivariate data that uses dots to represent values for two different variables.
The data for each observation is represented by the position of the dot on the x-axis and y-axis.
The x-axis represents one variable and the y-axis represents the other variable.
Scatter plots are commonly used to observe relationships between variables, such as correlations or trends, and to identify outliers or patterns in the data.
We have,
To predict the price you would pay for a car that is 9.5 years old, you need to look at the scatter plot and find the point that corresponds to an age of 9.5 years.
Once you have identified that point, draw a vertical line from that point to the line of best fit (or draw the line of best fit if it's not already on the plot).
Next, draw a horizontal line from the point where the vertical line intersects the line of best fit to the y-axis.
This will give you an estimated price for a car that is 9.5 years old based on the data in the scatter plot.
Now,
We see that,
At 9.5 years, the vertical line and the horizontal line correspond to a resale value of 4000.
Thus,
The predicted price you would pay if you purchase one of these cars that is 9.5 years old is 4000.
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If you multiply this number by any other number, the answer will always be the same. What is this number?
- First right answer will get brainliest! ( Pretty easy once you get it)
Answer:
1?
Step-by-step explanation:
The number that when multiplied by any other number, the answer will always be the same is 1.
What is multiplication?Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression some number of times.
Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.
When you multiply any number by 1, the product is always the same as the original number.
For example, 5 times 1 is 5, and 100 times 1 is 100.
So 1 is known as the multiplicative identity because it has the special property that when it is multiplied by any number, the result is always the same as that number.
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What is this in simplest form
Answer:
this is the simplest form
Step-by-step explanation:
since there is a variable in the fraction, you can't simplify it any further until we know that term.
Answer:
-7y/2
Step-by-step explanation:
-7y/2 cannot be simplified any further as there are no common factors of -7y and 2
Shelly is asked to put parentheses in the equation
14−8−5+6×2=23 so that it is true.
Choose the correct expression.
A. 14−8−(5+6)×2=23
B. 14−(8−5)+6×2=23
C. 14−8)−(5+6)×2=23
D. 14−(8−5+6)×2=23
Answer:
C)(14-8)-(5+6)×2=23
using bodmas
cassie is placing stickers on a page that is 12 inches long and 8 inches wide the sticker are 3 inches long and 2 inches wide
Answer:
To find the greatest number of stickers Cassie can place on a page that is 11 inches long and 8 inches wide without them overlapping, we need to use the same approach as before.
Firstly, we need to calculate the maximum number of stickers that can fit along the length of the page, which is now 11 inches. Since each sticker is 3 inches long, we can fit 3 stickers along the length (11 ÷ 3 = 3 with a remainder of 2).
Next, we can calculate the maximum number of stickers that can fit along the width of the page, which is still 8 inches. Since each sticker is 2 inches wide, we can fit 4 stickers along the width (8 ÷ 2 = 4).
To ensure that the stickers do not overlap, we can only use the full row of 3 stickers from the previous calculation. Therefore, we can place 3 stickers along the length and 4 stickers along the width, giving us a maximum of 12 stickers that Cassie can place on the page without them overlapping.
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
First, find out how much stickers you can put on the long side:
12/3 = 4
Next, find out how much stickers you can put on the wide side:
8/2 = 4
Lastly, calculate them together:
4x4=16
So the answer is 16.
What is the length of the hypotenuse of a right triangle whose legs have lengths of 5 and 12?
a)13
b)15
c)17
Answer:
Tha answer is A.
Step-by-step explanation:
Given that hypotenuse of a triangle is the longest length so you have to apply Pythagoras Theorem :
hypo² = side² + side²
hypo² = 5² + 12²
hypo² = 25 + 144
hypo² = 169
hypo = √169
hypo = 13 units
NEED ANSWER (CORRECT ANSWER)
Answer:
44
Step-by-step explanation:
range=max value-min value
140-96=44