Please find perimeter and area. also show work plz. It's really easy. I will mark as brainliest.
Answers
The perimeter of an enclosure is the length around the enclosure, or the sum of all the outer sides added up (red+blue lines in picture).
1) We are told that the two vertical sides of the enclosure (shown in blue) are each 20ft, making it 20 + 20 = 40ft total. All we need to find is the sum of the lengths of the four sides of the triangles (shown in red).
2) We are given the height of the triangle, 16ft, and the length of the base of the triangle, 20ft. To find the length of the edge we're looking for, we need to find the hypotenuse of the right triangle shaded in green. One of the legs of the triangle is 10ft (half of the base of the larger triangle) and the other leg is 16ft (same as height of the larger triangle).
Use the pythagorean theorem, which says [tex] a^{2} + b^{2} = c^{2} [/tex].
a and b are the length of your legs, 10ft and 16ft, and c is the length of the hypotenuse, or the side we're looking for. Plug your numbers in and find c:
[tex]10^{2} + 16^{2} = c^{2} \\ c^{2} = 356\\ c = 18.868 ft[/tex]
3) Now you know each red side is 18.868 ft. There are 4 red sides, so 4 x 18.868ft = 75.472ft. Add this number to the length of your two blue sides to get the perimeter:
75.472ft + 40ft = 115.472ft.
--------------
Area: [tex]720ft^2[/tex]
The area of the enclosure is shaded in yellow. To find the area of the enclosure, you want to find the sum of the areas of all the shapes. Break the enclosure down into one square (in the middle) with two triangles on the top and bottom, find the area of those three shapes, and add those areas together.
1) The equation for the area of the square is [tex]A=s^2[/tex], where s = length of the side.
You're told that the length, s = 20ft. Plug that in and solve for the area of the square:
[tex]A=s^2\\ A=20^2\\ A = 400 ft^2[/tex]
2) The equation for the area of a triangle is [tex]A = \frac{1}{2} bh[/tex], where b = length of base and h = height of triangle.
You're told that the length of the base, b = 20ft and the height of the triangle, h = 16ft. Plug these values in and solve for area of one of the triangles:
[tex]A = \frac{1}{2} bh\\ A = \frac{1}{2} (20)(16)\\ A = 160 ft^2[/tex]
3) Since you have two identical triangles, multiply the area of one triangle by two to get the total area of the two triangles:
[tex]160 ft^2 \times 2 = 320 ft^2[/tex]
4) Add up the areas of the square and the two triangles to get the total area of the enclosure:
[tex]400 ft ^2 + 320 ft^2 = 720ft^2[/tex]
Related Questions
A new patio will be an irregular hexagon. The patio will have two long parallel sides and an area of 360 square feet. The area of a geometrically similar patio is 250 square feet, and it’s long parallel sides are 12.5 feet apart. What is the corresponding distance on the new patio
Answers
The area scale factor=(area of new patio)/(area of original patio)
=360/250
=36/25
but
Linear scale factor=√(area scale factor)
Linear scale factor=√(36/25)=6/5
thus the length of the patio will be:
length=(linear scale factor)*(length of the original patio)
=6/5×12.5=15 ft
Which word best describes 8(2x +4)
Answers
Final answer:
The word that best describes 8(2x + 4) is multiplication. When we multiply a number by an expression, we distribute the multiplication to each term in the expression. Simplifying further, 8(2x + 4) becomes 16x + 32.
Explanation:
The word that best describes 8(2x + 4) is multiplication. In this expression, the number 8 is being multiplied by the expression 2x + 4. When we multiply a number by an expression, we distribute the multiplication to each term in the expression. Therefore, the expression becomes 8 * 2x + 8 * 4.
Simplifying further, we get 16x + 32. So, the word that best describes 8(2x + 4) is multiplication.
Which rule matches the function graphed below?
y = x + 3
y = x - 4
y = x - 3
y = x + 4
Answers
Because if the coordinates are 0,-3 it's 0 (which equals x) -3 = -3
And 2 - 3 = -1
Hope this makes sense (sorry I’m really bad at explaining things)
the sum of 2 consecutive even integers is 234, what is the larger integer
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x+2= larger integer
Add the integers
x + (x + 2)= 234
2x + 2= 234
subtract 2 from both sides
2x= 232
divide both sides by 2
x= 116 smaller integer
x+2= 118 larger integer
CHECK:
116 + 118= 234
234= 234
ANSWER: The larger consecutive even integer is 118.
Hope this helps! :)
The other number will be x + 2.
Sum of the 2 numbers is 234.
x + x + 2 = 234
2x + 2 = 234
2x + 232
x = 116
One number = 116
Other number = 116 + 2 = 118
Answer: Larger number = 118
Justin is exchanging dollars for rolls of quarters and rolls of dimes at a bank. Each roll of quarters has a value of $10 and each roll of dimes has a value of $5. He exchanges $90 and receives 11 rolls of coins. How many of each type of roll of coins did he receive?
Answers
Answer:
Justin got 7 rolls of quarters and 4 rolls of dimes.
Step-by-step explanation:
Let the roll of quarters be x
Let the rolls of dimes be y
As total money received is $90, the equation becomes;
[tex]10x+5y=90[/tex] .....(1)
And he got 11 roll of coins, so equation becomes;
[tex]x+y=11[/tex] or [tex]x=11-y[/tex] .... (2)
Substituting the value of x from (2) in (1)
[tex]10(11-y)+5y=90[/tex]
[tex]=> 110-10y+5y=90[/tex]
[tex]=> -5y=-110+90[/tex]
[tex]=> -5y=-20[/tex]
So, y = 4
As [tex]x=11-y[/tex]
So, [tex]x=11-4[/tex]
x = 7
Hence, Justin got 7 rolls of quarters and 4 rolls of dimes.
Sam intends to roll a six sided cube 100 times. What is the probability model he can use to predict whether or not each roll will give a result that is not a prime number?
Answers
The outcomes of rolling fair six sided die is [tex] \{1,2,3,4,5,6\} [/tex]. The prime numbers in the above outcomes are [tex] \{2,3,5\} [/tex]. The probability of not rolling a prime number is [tex] p=\frac{3}{6}= 0.5 [/tex].
Each trial is independent.
In the given experiment of 100 trials, the binomial probability model can be used to predict the number of occurrence of non-prime numbers (X). The probability mass function is
[tex] P(X=x)=C(100,x)p^x(1-p)^{100-x},x=0,1,2,3,...,100 [/tex]. Since [tex] p=0.5,1-p=0.5 [/tex]
[tex] P(X=x)=C(100,x)0.5^x(0.5)^{100-x},x=0,1,2,3,...,100 \\
P(X=x)=C(100,x)(0.5)^{100},x=0,1,2,3,...,100 [/tex]
The table shows the results of spinning a spinner several times. (Don’t mind my answer)
Answers
The experimental probability of spinning a B or a C is [tex]\( \frac{1}{4} \)[/tex].
To find the experimental probability of spinning a B or a C, we need to sum up the frequencies of outcomes B and C and then divide that by the total number of spins.
Given frequencies:
Outcome A: 3
Outcome B: 2
Outcome C: 1
Outcome D: 4
Outcome E: 2
Total frequency of B and C: 2 (from outcome B) + 1 (from outcome C) = 3
Total number of spins: Sum of all frequencies = 3 + 2 + 1 + 4 + 2 = 12
Experimental probability of spinning a B or a C: [tex]\(\frac{\text{Total frequency of B and C}}{\text{Total number of spins}} = \frac{3}{12} = \frac{1}{4}\)[/tex]
So, the experimental probability of spinning a B or a C is [tex]\(\frac{1}{4}\)[/tex].
To know more about experimental probability, refer here:
https://brainly.com/question/34234573
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Evaluate the expression 7x2y, when x = 4 and y = 2. 112 224 542 718
Answers
Keep in mind that all the terms are just being multiplied together, like this:
7 * x * 2 * y
When we plug in 4 for x and 2 for y, we end up with this:
7 * 4 * 2 * 2 =
28 * 4 =
112
Your answer should be 112.
224 will be your answer
7 x^2 y
7 (4 ^2) 2=?
4x4=16
16x 7= 112
112x2 =224
Find the variance and standard Deviation of the probability distribution of the random variable x, which can take the values 1,2,3 given that p(1) = 10/33 p(2) = 1/3 p(3) =12/33?
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Which system of equation can represent the equation?
Answers
log(x+3)
y₁ = --------------
log(4)
log(2 + x)
y₂ = ----------------
log(2)
Explanation:
1) Here you must use the property named change of base of the logarithm.
That rule is:
[tex]log_{a}b= \frac{log_c{b}}{log_ca} [/tex]
2) Changing to base 10 that is:
[tex]log_{b}a= \frac{loga}{logb} [/tex]
3) Using it with the given equation, you get:
[tex]log_4(x+3)= \frac{log_(x+3)}{log(4)} log_2(2+x)= \frac{log(2+x)}{log(2)}[/tex]
4) Now, to set your system you can make the left side of the equation equal to y₁ and the right side equal to y₂
log(x+3)
y₁ = -------------
log(4)
log(2 + x)
y₂ = ---------------
log(2)
And that is your system which is the first choice of the list.
Answer:
A on edge 2021
Step-by-step explanation:
Les drew the number line shown to add 2.5 + (–25). He says the sum is 22.5.
Which is a correct description of his work?
A. His number line is correct, and the correct sum is 22.5.
B. Les should have started at 0, moved right to 2.5, and then moved left to –25. The correct sum is –23.5.
C. Les should have started at 0, moved right to 2.5, and then moved left 25 units. The correct sum is –22.5.
D. The correct sum is 22.5, but his number line is incorrect. Les should have started at 0, moved left to –2.5, and then moved right 25 units.
Answers
Answer:
Answer = c
Step-by-step explanation:
Two classes have a total of 50 students. One of the classes has 6 more students than the other. How many students are in the larger class?
Answers
class 2 = x
total= 50
so you need to find the x
50=6+x+x
50=2x+6
50-6=2x
44=2x
22=x
22+6
28 is the larger class
The following table shows the data collected from four random samples of 50 students from a small middle school regarding their reading preferences
Based on the results in the table, what type of reading is preferred by the majority of students in the samples? (1 point)
A. Novels
B. Short Stories
C. Classics
D. Comic Book
Answers
Answer:
A. Novels Hope this helps!
Step-by-step explanation:
Jack is trying to figure out a rule for this table. He comes to the conclusion that the rule is f(x)= 3x. Why is Jack's rule incorrect?
Answers
Will give brainliest. How long is this side?
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Have questions? let me know (:
Good Luck!
Have a great day!!
If I'm correct give me 5 stars and brainliest.
What is the quotient in polynomial form?
Answers
Completing the synthetic division, first bring down the leading coefficient:
-1| 2 7 5
2
Now multiply this by the divisor, -1, and write it under the 7:
-1| 2 7 5
-2
2
Now add the two values in the middle, 7 and -2:
-1| 2 7 5
-2
2 5
Multiply the 5 by the -1:
-1| 2 7 5
-2 -5
2 5
Add the 5 and -5:
-1| 2 7 5
-2 -5
2 5 0
This corresponds with an answer of 2x+5 and remainder of 0.
Which expression represents the multiplicative inverse of -9/7
A. -7/9
B. 9/7
C. 7/9
D. -9/7
Answers
Answer:
-7/9Step-by-step explanation:
To find a multiplicative inverse, switch the numerator and denominator in the fraction. The sign stays the same. In this problem, we have -9/7. Switching the numerator and denominator, we get -7/9.
I am always happy to help :)
the stem and leaf plot below shows the number of points scored in each basketball game a team played during a season in how many games were more than 40 points scored?
|Stem | Leaf|
| 6 | 1 6 7|
| 5 |2 2 8|
| 4 |4 5 8 9|
| 3 |0 2 6 6 6|
| 2 | 0 8 |
A. 4
B. 6
C. 7
D. 10
Answers
Counting the number of leaves that have stems of at least 4, there are 10.
The Lin family has a fish tank
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Answer: And... what about the fish tank can you give more detail?
Step-by-step explanation:
LAST QUESTION HELP A GIRL OUT
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[tex]y=7.5\left(\dfrac{16.875}{7.5}\right)^{\frac{x-1}{3-1}}=7.5\cdot (2.25^{\frac{1}{2}})^{x-1}\\=7.5\cdot 1.5^{x-1}=7.5\cdot 1.5^{-1}\cdot 1.5^{x}\\y=5\times 1.5^{x}[/tex]
To the nearest tenth, find the approximate distance between points A and C. Graph with coordinates A negative 4, negative 4. B negative 2, 5. C 2, 1. D 2, negative 4.
A. 3.3 units
B. 7.8 units
C. 5.2 units
D. 3.6 units
PLEASE HELP!!!!!
Answers
A(-4,-4) B(-2,5) C(2,1) D(2,-4)
step 1
find the distance AC with the formula
d=√[(y2-y1)²+(x2-x1)²]------> dAC=√[(1+4)²+(2+4)²]----> dAC=√61 units
dAC=√61-----> dAC=7.8 units
the answer is
the option
B. 7.8 units
Please help me with these. You'll be respected forever. I really need help with these.
a) please write 5.(6) % as a common fraction or a mixed number. The (6) is repeated.
b) Eight pounds of peanuts cost $24.00. Six pounds of walnuts cost half as much. Which is more expensive and by how much?
c) Eight pounds of peanuts cost $24.00. Six pounds of walnuts cost half as much. How much will Jim pay for 3 lbs of peanuts and 6 lbs of walnuts?
d) Write “four hundred dollars and seventy two cents”... as a fraction (and then reduce).
I will give brainliest if correct. Thanks.
Answers
Answer:
b) Peanuts, $1 per lb
c) $21
Step-by-step explanation:
b)
Peanuts= 12*2=$24
Walnuts= 6*2=$12
1 lb of peanut= 3 lb
1 lb of walnut= 2 lb
24 is greater than 12
3-2=1
$1 greater per lb
c)
1 lb of peanut= 3 lb
1 lb of walnut= 2 lb
3*3=9
2*6=12
9+12= $21
Sorry I only figured out b and c :(
11499 round to the nearest thousand
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i needs help ........ .
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3 3/4 + 5 1/4 = 9 inches ( 3/4 + 1/4 = 1, 3+5 = 8, 8+1 = 9 )
1/2 inch on the map = 4 miles
there are 2 1/2 inches to 1 inch so 4 miles x 2 = 8 miles to 1 inch
so now multiply 9 inches x 8 miles = 72 total miles
17 is the sum of a number and 6 write this in an equation for the word sentence.
Answers
A number plus 6 is equal to 17.
x + 6= 17
ANSWER: x + 6= 17
Hope this helps! :)
17 is the sum of a number and 6
⇒ x + 6 = 17
Answer: Equation: x + 6 = 17
To solve x:
x+ 6 = 17
x = 17 - 6
x = 11
Answer: x = 11
what is the sum of the polynomials
(-x^2+9)+(-3x^2-11x+4).
• -4x^2-2x+4
• -4x^2-11x+13
• 2x^2+20x+4
• 2x^2+11x+5
Answers
-x² + 9 + (-3x² - 11x + 4)
Now,, remember that when there is a "+"sign in front of the parenthesis,, then the parenthesis in the expression remains the same. This means that all you need to do for the second side of the expression is remove the parenthesis.
-x² + 9 + -3x² - 11x + 4
Collect the like terms that have an exponent of two.
-4x² + 9 - 11x + 4
Add the regular numbers together.
-4x² + 13 - 11x
Lastly,, use the commutative property to reorder the terms and get your final answer.
-4x² - 11x + 13
Since we cannot simplify this expression down any further,, our final answer is going to be -4x² - 11x + 13 or option B.
Let me know if you have any further questions.
:)
The sum of the given polynomials is -4x²-11x+13. Therefore, option B is the correct answer.
What is addition of algebraic expression?Addition of Algebraic Expressions is the process of collecting like terms and adding them. Identify and add the coefficients of like terms and sum them to find the final expression of given problems.
Given that, (-x²+9)+(-3x²-11x+4).
Here, -x²+9-3x²-11x+4
= (-x²-3x²)-11x+9+4
= -4x²-11x+13
Therefore, option B is the correct answer.
Learn more about the addition of algebraic expressions here:
https://brainly.com/question/21443100.
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how many times greater is one hour than one minutes
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Sorry If I’m wrong
The weather report says there is an 85% chance it will be very hot tomorrow. Should you get ready to use the air conditioner? Explain.
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Based on the 85% chance of very hot weather, it is reasonable to prepare to use the air conditioner. Weather forecasts with high probabilities can guide us in making practical preparation decisions for comfort and safety.
The weather report indicates there is an 85% chance that it will be very hot tomorrow. Given this high probability, it would be reasonable for you to prepare to use the air conditioner. Decisions based on weather forecasts often involve considering the likelihood of different outcomes and planning accordingly.
Weather is the atmospheric conditions at a particular place over a short period of time, and preparing for it helps us manage daily activities and comfort levels. When the probability of a specific weather event, such as extreme heat, is high, it is generally wise to prepare for that scenario. By planning to use the air conditioner, you can ensure you're able to maintain a comfortable environment during the hot weather.
48 pounds are equal to approximately _______ kg.
Answers
1 pound = 0.453592kg
48 x 0.453592 = 21.7724
Answer : 21.7724 kg, rounding off would be 22kg.
Hope this helps. - M
You need to convert pounds to kg, first. The closest that number 21.7724 relates to is 21. So it is about 22 kg.
Hope this helps,
-DJ-
Please help. I’ll give brainliest
Answers
Answer:
4/15
Step-by-step explanation:
Multiples of 4: 4, 8, 12, 16, 20, 24, 28 (there are 7)
19: There is 1
Total: 7+1=8
8/30=4/15