Radius of circular grass lawn(without path)=[tex]35 \: cm[/tex]
Radius of circular grass lawn (with path)=[tex]35 \: cm+7 \: cm=42 \: cm[/tex]
Area of circular path=[tex]\pi ( R + r)( R- r)[/tex]
[tex] = \displaystyle{ \frac{22}{7} (42 + 35)(42 - 35)}[/tex]
[tex] = \displaystyle{ \frac{22}{7} \times 77 \times 7}[/tex]
[tex] = \displaystyle{ \frac{22}{ \cancel7} \times \cancel{77} {}^{11} \times 7}[/tex]
[tex] = 22 \times 11 \times 7[/tex]
[tex] = 242 \times 7[/tex]
[tex] = 1649 {cm}^{2} [/tex]
[tex]\boxed{\red{\frak{unic0rntaking0ver}}}[/tex]
Solve for x and y 60° 15°
Answer:
y = 4x hope this Helps!
Step-by-step explanation:
y = kx
k = y/x = 60/15 = 4
y = 4x
Given cos 0 = 11/6 and angle 0 is in Quadrant I, what is the exact value of sin 0 in
simplest form? Simplify all radicals if needed.
1 = sin²0 + cos²0
sin²0 = 1 - cos²0
sin²0 = 1 - 11/36
sin²0 = 25/36
sin 0 = 5/6 or -5/6
In the first quadrant, the values for sin, cos and tan are positive.
sin0 = 5/6
make x the subject of the following: k = 2(3x - 5)
Answer:
x = (k+10)/6
Step-by-step explanation:
k = 2(3x - 5)
Distribute the 2
k = 6x - 10
Add 10 to each side
k+10 = 6x-10+10
k+10 = 6x
Divide each side by 6
(k+10)/6 = 6x/6
(k+10)/6 = x
Answer:
x = (k + 10) / 6
Step-by-step explanation:
k = 2(3x - 5)
k = 6x - 10
k + 10 = 6x
(k + 10) / 6 = x
after spending $5 on ice cream, payton had $20 left. how much money did payton have to begin with
Answer: The answer is 25
Step-by-step explanation: because it said he spend $5 on ice cream then he had $20 left so that mean he had 25 - 5 = 20
How many solutions in x=2+3 and 3x-6y=9
[] One solution
-> x = 2 + 3
-> 2 + 3 can only equal one thing, 5.
[] Invitinte solutions
-> 3x - 6y = 9
-> This is a linear equation, so it will go on forever. If you graph it you can find the solutions.
-> See attached
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.
- Heather
The formula for the volume of a square pyramid is V = 1/3 8^2h. Choose the formula in terms of h.
Answer:
h = 3V/b^2
Step-by-step explanation:
V = 1/3 * b^2 * h
multiply through by 3
3V = b^2 *h
divide both sides by b^2
3V/b^2 = h
long devision for 53 divided by 23
Answer:
2, 7 remainder is the answer
Step-by-step explanation:
Answer:
Step-by-step explanation:
53/23 = [tex]2\frac{7}{23}[/tex] or ≈ [tex]2.3[/tex]
Hope this helps!
Find the slope.
Find the slope
Answer:
-x + 1 __________________________
Answer:
-1
Step-by-step explanation:
The slope is the change in y over the change in x. In this graph, the y-value decreases by 1 unit to the right, and the x-value increases by 1 unit. So, this means that the slope is represented as -1/1. This can then be rewritten as -1.
We know that this slope is negative because it decreases to the right. Positive slopes increase to the right.
A teacher simulated her students’ scores on a biology test using 200 trials. The results are shown in the table.
Based on the data from the simulation, what is the probability of students’ scores falling between 80 and 99?
Scores 50-59 60-69 70-79 80-89 90-99
Frequency 13 25 69 58 35
A. 0.535
B. 0.350
C. 0.465
D. 0.580
Help pleaseeee I’m in need
* Which value can you use for n to show that the
first step in a proof by mathematical induction of
"For all the positive integers n
1^2+2^2+...+n^2?
n(n+1) (2n+1)" /6 is true?
A-n=1/4
B- n=1
C- n=3.26
D- n=-10.1
Answer:
B- n = 1
Step-by-step explanation:
"For all the positive integers n" is a qualifying statement. The number used has to be positive and also must be an integer. Integers are whole numbers and their opposites, so basically no fractions and no decimals. Answer A is a fraction and C is a decimal and D is negative and a decimal. So they don't work for this problem.
The value is n to show that the first step in a proof by mathematical induction of for all the positive integers is 1.
Thus, option B is correct.
The conditions can be checked through the options.
The option C and D will be eliminated because the condition is for all the positive integers n but n is decimal here.
For n = 1/4, the solution will be in fractions.
So, it does not hold true for n= 1/4.
For n = 1
[tex]\dfrac{n(n + 1)(2n + 1)}{6}[/tex]
=[tex]\dfrac{1(1 + 1)(2 \times 1 + 1)}{6}[/tex]
= 1
Thus, the value is n to show that the first step in a proof by mathematical induction of for all the positive integers n is 1.
So, option B is correct.
Learn more about positive integers here:
https://brainly.com/question/26051073
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Lara earned $16.92 per hour working at a store.
This week she worked for 12 1/4 hours.
She used the money she earned this week to buy concert tickets for herself and her friends.
Each concert ticket cost $19.55.
What is the maximum number of tickets Lara could have bought?
Answer:
The maximum number of tickets Lara could have bought are 10.
1/2 s a termating ecimal
Hey there!
1/2
= 1 ÷ 2
= 0.50
≈ 0.5
≈ 50%
Thus, 1/2 is most likely a: terminating decimal
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
HELPPPP PLEASE SHOW YOUR WORK
Answer:
Step-by-step explanation:
m∠A = arctan [tex]\frac{9.6}{7.2}[/tex] ≈ 53°
Aforest that is populated by crows and doves currently contains a total of 1,500 crow and dove
nests. Crows use approximately 8 grams of twigs when building a nest, and doves use
approximately 6 grams of twigs when building a nest. Which of the following equations best
approximates the relationship between C, the total amount, in grams, of twigs used for crow
nests and D, the total amount, in grams, of twigs used for dove nests?
The equation that show the relationship is given by 8x + 6y = C + D
Equation
An equation is an expression used to show the relationship between two or more numbers and variables.
Let x represent the number of Crows and y represent the number of doves, Let C represent the number of trigs needed for Crow and D the amount of twigs needed for dove, hence:
x + y = 1500 (1)
also:
8x + 6y = C + D (2)
The equation that show the relationship is given by 8x + 6y = C + D
Find out more on Equation at: https://brainly.com/question/13763238
What is 5 1/2 as a fraction
Answer:
11/2
Step-by-step explanation:
Given Mixed fraction is 51/2
Step 1: Multiply 5 by 2: 5 × 2 = 10
Step 2: Add 10 with 1: 10+1 = 11 (New numerator value).
Hence, the improper fraction is 11/2.
11/2 is 5 1/2 as a fraction.
What is mixed fractions?Mixed fraction is a number contain whole number and a proper fraction.
Given:
Mixed fraction is 5 1/2
To convert mixed fraction into proper fraction:
To get the fraction from mixed number you just need to take the number standing alone, multiply with the denominator and add with the numerator and keep it on top with the denominator in place to turn it into a fraction.
Step 1: Multiply 5 by 2: 5 × 2 = 10
Step 2: Add 10 with 1: 10+1 = 11 (New numerator value).
Proper fraction is 11/2.
Therefore, 11/2 is 5 1/2 as a fractions.
Learn more about fractions here:
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WORTH 100 POINTS
Lucas is having yogurt and an apple for a snack. There are five containers of yogurt in the refrigerator: three are raspberry, one is vanilla, and one is peach. There are also two green apples and three red apples.
If he reaches into the refrigerator to get a yogurt without looking, what is the probability that Lucas will choose a raspberry yogurt?
What is the probability that he will choose a red apple if it is the first item he selects?
What is the probability that Lucas will eat a raspberry yogurt and a red apple?
Answer:
If Lucas reaches into the refrigerator to get a yogurt without looking, there is a 3/5 probability that Lucas will choose a raspberry yogurt.
There is a 3/5 probability that he will choose a red apple if it is the first item he selects.
There is a 9/25 probability that Lucas will eat a raspberry yogurt and a red apple.
Step-by-step explanation:
3/5 x 3/5 = 9/25
Answer:
Probability of yogurt being raspberry = 3/5 = 0.6Probability of choosing a red apple = 3/10 = 0.3Probability of raspberry yogurt AND red apple = 9/50 = 0.18Step-by-step explanation:
Total of 5 yogurts: 3 raspberry + 1 vanilla + 1 peach
Probability of yogurt being raspberry = 3/5 = 0.6
Total of 5 apples: 2 green + 3 red
Total number of snacks = 10
Probability of choosing a red apple = 3/10 = 0.3
Probability of raspberry yogurt AND red apple = 0.6 x 0.3 = 9/50 = 0.18
can u help me solve c=q v+q for v
Answer:
V = c/q - 1
Step-by-step explanation:
hope this helps if u need anymore help let me know
What is the measure of x
Answer:
156°
Step-by-step explanation:
the total internal angle of a triangle in 180°
so,
180 - (85 + 71)
= 24°
this is the internal angle, to find the external angle subtract this value from 180
so,
180 - 24
= 156° (answer)
dw its fine, i dont need the work. just give me the answer
Answer:
j = 35 - k
35 = j + k
k = 35 - j
(the 2nd, 3rd, and 4th one)
Which of the following is most likely the next step in the series?
O
n
It should be d
Sorry if this is not correct
Multiply 79 liters 42 millilitres by 4 =
Answer:
316.168
Step-by-step explanation:
you get 316.168 Liters or 316168 mL
please mark brainliest i need one more!
Answer:
316.168
Step-by-step explanation:
that is the answer when i tried this equation
You have 128 eggs and 72 strips bacon, what is ratio of eaggs to bacon?
Answer:
16:9
Step-by-step explanation:
What is the measure of y? 4 16 z y x
Answer:
y = 4[tex]\sqrt{3}[/tex]
Step-by-step explanation:
using the Altitude- on- Hypotenuse theorem
y² = product of the segments on the hypotenuse of the large right triangle.
y² = 4 × 16 = 48 ( take square root of both sides )
y = [tex]\sqrt{48}[/tex] = [tex]\sqrt{16(3)}[/tex] = [tex]\sqrt{16}[/tex] × [tex]\sqrt{3}[/tex] = 4[tex]\sqrt{3}[/tex]
What is the area of a rectangle whose side are x – 3 and x + 5?
Given :
The sides of a rectangle are (x - 3) and (x -5).To Find :
The area of the rectangle.Solution :-
Here we are given two sides of rectangle . We know that the area of rectangle is ,
→ Area = side 1 * side 2
Substituting the respective values ,
→ A = (x-3)(x+5)
→ A = x(x+5) -3(x+5)
→ A = x² + 5x -3x -15
→ A = x² +2x - 15
Hence the area of the rectangle is x² +2x -15.
I hope this helps .
Use the order of operations to simplify + 8(2.5 – 0.5).
-
O A. 4
O B. 20
O c. 2
O D. 164
[tex] \dashrightarrow \tt8(2.5 – 0.5)[/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow \tt8(3)[/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow \tt8 \times 3[/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow \tt24[/tex]
Answer:
16
Step-by-step explanation:
I think the question is either incorrect or a number is being omitted in the options.
But, lets make do with what we have here so you have an idea of how its been solved.
USING THE ORDER OF OPERATIONS IS BEING FOLLOWED SO THAT EVERYONE CAN ARRIVE AT THE SAME ANSWER.
8(2.5 - 0.5) = 8 (2) = 16
Please help!! With solution needed!!
Answer:
There are [tex]3p^2[/tex] animals on the farm
Step-by-step explanation:
2p^2-p+4 . p^2+p+1
[tex](2p^2-p+4)+(p^2+p+1)\\2p^2+p^2+p-p+4+1\\3p^2+5[/tex]
Answer:
3p² + 5
Step-by-step explanation:
since no equations are given I will simply add on the number of cows and buffaloes.
total number of animal= number of cows + number of buffaloes
= 2p²- p + 4 + p² + p + 1
= 3p² +5
can you answer this?
2 Sami made 27 phone calls in 12 days. Marta made 45 phone calls in 18 days. a Work out the mean number of calls per day for each person. b Who made more calls per day?
The mean number of calls for Sami is 2.25 calls per day and for Marta it is 2.5 calls per day
The person who made more calls per day is Marta.
What is the mean?Mean is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number
Mean = sum of the numbers / total number
Sami = 27 / 12 = 2.25 calls per day
Marta = 45 / 18 = 2.5 calls per day
To learn more about mean, please check: https://brainly.com/question/25842202
I'm doing a poll for school. Comment whether or not you like pugs.
Answer:
I do not like pugs. I think they are quite ridiculous creatures.
Step-by-step explanation:
Answer:
I do like pugs
Step-by-step explanation:
Find the x-intercept of h(x)= |x| + 4
Answer:
(-4,0)
Step-by-step explanation:
if you substitute the number 0 then it is (-4,0). and there is your answer!