Answer:
a
Step-by-step explanation:
5/3 is 1.6666667
8/5 is 1.6
therefore 5/3 > 8/5
The Rose garden is formed by joining the rectangle in the semicirculation below the rectangle is 22 ft long and 18 ft wide if the gardener wants to build a fence around the garden how many feet of fences required
First, let's find the area of the rectangle.We know that the area of a rectangle is the length times width, or 20⋅32in this example:20⋅32=640So the area of the rectangle is 640ft2.You may not know the area of a semicircle, but that's fine −we know the area of a circle, or πr2.Since the area of a semicircle is half the area of a circle, we just do the area of the circle divided by 2:So the area of a semicircle is πr22.The question asks for πto just be 3.14, so instead the equation is A=3.14r22The picture gives the diameter of the circle.To find the radius, or r, we divide the diameter by 2:202=10Now we can solve for the area of the semicircle:3.14(10)223.14(100)23142157ft2Now that we now the areas of the rectangle and semicircle, we can add them up to find the area of the rose garden:640+157=797ft2
A class consists of 15 boys of whom 5 are prefects.
a) How many committees of 8 can be formed if each consists of exactly 2 prefects?
there would only be one committee of eight, because there is only 15 boys if you add it up 7 + 8= 15 you do not have enough boys to form more than one committee there will be seven boys left out three of which are perfect
Find the value of k for which the line y = kx + 6 is a tangent to the curve x^2 + y^2 – 10x + 8y = 84
Answer:
k = 1/2
Step-by-step explanation:
input y = kx +6 into the equation of the curve x² + y² – 10x + 8y = 84
x² + (kx + 6)² - 10x + 8(kx + 6) = 84
expand:
x² + k²x² + 12kx + 36 - 10x + 8kx + 48 = 84
simplify by collecting like terms:
x² + k²x² + 20kx - 10x + 84 = 84
subtract 84 on both sides to bring it to the left:
x² + k²x² + 20kx - 10x + 84 - 84 = 0
x² + k²x² + 20kx - 10x = 0
factorise out x:
x²(1 + k²) + x(20k - 10) = 0
using the discriminant b² - 4ac where b is 20k - 10, a is 1 + k² and c is 0, substitute them in the formula b² - 4ac:
b² - 4ac
(20k - 10)² - 4(1 + k²)(0) = 0
the part highlighted in bold is gone because it's all multiplied by 0, so we are left with (20k - 10)² = 0
(20k - 10)² is the same as
(20k - 10)(20k - 10)
equate both to 0
20k - 10 = 0 and 20k - 10 = 0
add 10 on both sides
20k = 10 and 20k = 10
divide 20 on both sides
k = 10/20 and k = 10/20 which are both the same
10/20 is simplified to 1/2
k = 1/2
3x(x+6)=-10
Please explain how to solve!
Answer:
just look at picture
Step-by-step explanation:
Hope this helps :)
please help worth 100 pts
Answer:
the first one is x=20. the second one is x=31.33 cm.
Step-by-step explanation:
1. x=20
2. x=31.33 cm
Hope this helps!!! :)
- What is the measure of the external angle which is marked in yellow?
A 156 degrees
B 24 degrees
C 145 degrees
D 53 degrees
Answer:
the measure of the external angle which is marked by yellow is 156 degrees
Solve the following inequality. Then place the correct answer in the box provided. Answer in terms of an mixed number. 8P + 2 > 3P - 15
Answer:
8p+2 3p-15-2
5->-17
p>-17/15
Step-by-step explanation:
Education researchers are interested in the workload expectations of freshmen at a local university. Which of the
following techniques would give a stratified random sample?
Randomly select 10 freshmen from each of the majors at the university
Randomly select 10 freshmen from the cafeteria on each of the 5 days of the first school week.
Randomly select 1 professor at the university and have them survey all of their freshman students.
Survey the students in some randomly selected freshman seminar classes, since freshmen are randomly put into
those classes
Answer:
A: Randomly select 10 freshmen from each of the majors at the university.
Step-by-step explanation:
This is because stratified random sampling is taking a population and dividing them into subpopulations. So, majors would be the best way to divide up college freshmen into different subsections to survey them about their workloads because each major would have a different answer and result.
The techniques to give a stratified random sample would be A: Randomly select 10 freshmen from each of the majors at the university.
What is simple random sampling?If the sampling is done from the population randomly, without any other rule, then such sampling is called simple random sampling. Items are selected in a fixed size, all randomly.
The best sampling is simple random sampling, as it is randomly picking data values from the population.
Stratified random sampling it is taking a population and dividing them into subpopulations.
The majors would be the best way to divide up college freshmen into different subsections to survey them about their workloads because each major would have a different result.
The techniques to give a stratified random sample would be A: Randomly select 10 freshmen from each of the majors at the university.
Learn more about sampling here:
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Help PLEASEEE!!!
Given that AC=30, AB=5x-21, BC=3y+4, CD=2x-3, and DA=4x+1, find the indicated variables for each question. Find the value of x, y, z.
Answer:
x = 6
y = 7
z = 23
Step-by-step explanation:
ÀC = z + 7
30 = z + 7
30 - 7 = z
z = 23
2x - 3 = 5x - 21
21 - 3 = 5x -2x
18 = 3x
x = 18÷3
x = 6
4x + 1 = 3y + 4
4(6) + 1 = 3y + 4
25 = 3y + 4
3y = 25 - 4
y = 21 ÷ 3
y = 7
please mark as brainliest i appreciate so much
2. In a random sample of 87 college students, the average number of GroupMe messages handled in
one day is 49. The 95% confidence interval for the mean number of messages handled by students
daily is given as 47 to 51.
a. What is the population standard deviation of the sample?
b. If the number of samples were doubled, by what factor would the confidence interval change
(keeping the same confidence level?)
We have that the population standard deviation and confidence interval is mathematically given as
SD=1
W = 2.8284
Standard deviation and the new widtha) Generally, normal distribution 95% of the values lies within 2 standard deviations from the mean.
Therefore, we have here:
2*2SD = 51 - 47
2*2SD
SD=1
Hence, the standard deviation is
SD=1
b)
Where,the margin of error is inversely proportional to the square root of sample size.
1 / sqrt{2}
Hence, the new width is
1 / sqrt{2}[tex]1 \ sqrt{2}[/tex]
W = 2.8284
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if x-3 is a factor of 2x^k - 3 x^(k-1) +4x -39 find the value of k.
HELPP! i don’t know this
Answer: A
Step-by-step explanation:
Using the 3D Pythagorean theorem, [tex]AB=\sqrt(6^2 + 4^2 + 1^2)=\sqrt(53)[/tex]
The perimeter of a rectangle is 52 cm. If its width is 2 cm more than one-third of its length, find the dimensions of rectangle.
(A) 12 cm x 4 cm (B) 18 cm x 8 cm (C) 15 cm x 9 cm
Answer:
(B) 18 cm x 8 cm
Step-by-step explanation:
let the length be x,
then the width is [tex]\frac{1}{3}[/tex]x + 2
2( [tex]\frac{1}{3}[/tex]x + 2 + x ) = 52
[tex]\frac{1}{3}[/tex]x + 2 + x = 26
[tex]\frac{4}{3} x[/tex] = 24
x = (24*3)/4
x = 18
then the length is 18 cm
and width is (1/3)*18 + 2 = 8
Therefore the dimensions are length:width = 18 cm : 8 cm
Answer:
(B) 18cm x 8cm
Step-by-step explanation:
Perimeter of a rectangle = 52 cm
2(length + width) = 52 ==> l + w = 26
Let x be the length
width = (x/3) + 2
x + (x/3) + 2 = 26
[(3x + x)/3] + 2 = 26
4x / 3 = 24
4x = 24 (3)
x = 6(3) ==> 18 cm
Width = (18/3) + 2
= 6 + 2 = 8 cm
So, the required dimension is 18 cm x 8 cm.
can someone pls look at the recent questions on my page.
Answer:
sure I will
Step-by-step explanation:
please give brainiest
Answer:
where is your pic can you post
if f(x) = ax + b where a and b are Costants f(1) = 6and f(-2)=3, find the value of a and b?
Answer:
a = 1
b = 5
⇒ f(x) = x + 5
Step-by-step explanation:
Given
f(x) = ax + bf(1) = 6f(-2) = 3Therefore,
f(1) = 6 ⇒ a + b = 6
f(-2) = 3 ⇒ -2a + b = 3
Rewrite a + b = 6 to make a the subject, substitute into -2a + b = 3 and solve for b:
a = 6 - b
⇒ -2(6 - b) + b = 3
⇒ -12 + 2b + b = 3
⇒ -12 + 3b = 3
⇒ 3b = 15
⇒ b = 5
Substitute found value for b into a + b = 6 and solve for a:
⇒ a + 5 = 6
⇒ a = 1
Therefore, f(x) = x + 5
h(x)=x³+2x+5 what's the domain and the range?
II. UNKNOWN VALUE. Solve for the measure of the unknown angles in parallel lines cut by transversal
I need it asap
Answer it for 10 points
1. integers less than or equal to +5 but greater than -5
2. negative integers greater than -8 but less than +10
[tex] \tt\huge Answer \to[/tex]
5 , 4 , 3 , 2 , 1 , 0 , - 1 , -2 ,-3 , -4-7, -6 , -5, -4 , -3 , -2 , -1Simplify -3(9+2z).Simplify this expression and I will give you virtual points.
Answer:
-27 -6z
Step-by-step explanation:
"Simplify" in this context means "eliminate parentheses." You do that by making use of the distributive property. The factor -3 outside the parentheses multiplies each term inside parentheses.
-3(9 +2z)
= -3(9) +(-3)(2z)
= -27 -6z
Hey there!
-3(9 + 2z)
= -3(9) - 3(2z)
= -27 - 6z
= -6z - 27
Therefore, your answer is: -6z - 27
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
1 and 5/8 divided by 1/3
Answer:
15
Step-by-step explanation:
15
1 5/8 divided 1/3
first change 1 5/8 into a improper fraction which is 40/8
40/8 divided by 1/3
Keep Change Flip
40/8 divided by 3/1
40/8 x 3/1 = 120/8 simplify by 4 then you get 30/2 simplify again and you get 15/1 which is 15
i hope this is right
Answer:
4 and 7/8 (or as a decimal: 4.875)
Step-by-step explanation:
(Important:) Okay, so before we solve this problem we need to know the "dividing fraction rules." When you are dividing fractions, you need to remember that the second fraction is flipped and the sign goes from being a division symbol to being a multiplication symbol. It may sound confusing, but I'll explain as we go on.
First, let's turn that 1 and 5/8 into an improper fraction so that this is easier to solve. Multiply the denominator by the whole number, then add the numerator. Keep the same denominator (8 in 1 and 5/8), but place your new numerator on top instead.
1 and 5/8 = 13/8.
Now we can go through the steps of the dividing process. Flip the second fraction in the equation. Doing this changes the symbol to a multiplication symbol.
13 x 3
8 x 1
Now multiply across.
13 x 3 = 39
8 x 1 = 8
This question does not ask for an improper fraction, so let's reduce this fraction down to a mixed number and decimal.
Mixed number: 39/8 = 4 and 7/8.
Decimal: 4.875.
I hope that this helps.
Brainliest if correct
Answer:
Multiply 4 x 2 and the add the P in the front like this:
P = 8
HOPE IT HELPS, BE SAFE :3
Answer:
256
Step-by-step explanation:
Since p = 8
4(8)^2
[RevyBreeze]
Shapes A and B are similar.
a) Calculate the scale factor from shape A to shape B.
b) Find the value of w.
Give each answer as an integer or as a fraction in its simplest form.
The scale factor from shape A to shape B is 0.75 with w = 5.25 cm.
What is scale factor?The size by which the shape is enlarged or reduced is called as its scale factor.
Scale factor from shape A to shape B = [tex]\frac{3}{4}[/tex] = 0.75
It can be calculated by dividing the length of one side of the polygon to the corresponding side of the similar polygon. Keep the length of the side of the original figure in denominator and length of the side of the transformed figure in the numerator.
Calculating w.
[tex]\frac{w}{7} = 0.75\\\\w = 7 * 0.75 = 5.25[/tex]
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АВС аnd
APQR are similar. Find the missing side length.
Felicia pours juice from a carton into a glass. Every time she fills the glass, the amount of juice in the carton changes by −0.44 L. She fills her glass 2 3/4 times in all. Bernadette has a different carton of juice that is the same size. Every time she fills her glass, the amount of juice in her carton changes by −0.42 L. She fills her glass 2 2/3 times in all. Who has the greater total change in the amount of juice in their carton? Show your work. Explain your reasoning.
Random Question
Mr Sire purchases a bicycle for $163.62. How much cash will he need to pay?
Which of the following is equivalent to 4 square root of 12 minus square root of 27 plus 5 square root of 3?
Answer:
The answer is 10 square root of 3
Step-by-step explanation:
Hope this helps!
29. Find CD.
30. Find ZV.
Answer:
for cd it's 12 I believe fs
A stack of books is 24 inches high.
Each book in the stack is 3/4 inch thick
How many books are in the stack?
Answer:
32
Step-by-step explanation:
Let's say n such books make up the stack.
If each book is 3/4 inch thick, it contributes 3/4 to the total height of the stack – 24 inches.
==> number of books × 3/4 = 24
(to get this result add the heights of n such book, and equate it to 24. You'll get something like:
3/4 + 3/4 +. . . . n times = 24
And that's what's meant by 3/4 × n = 24)
==> n × 3/4 = 24
multiply both sides by 4
==> n × 3 = 24 × 4
divide both sides by 3
==> n = (24 × 4)/3
==> n = 8 × 4
==> n = 32
We assumed the number of books to be n.
so the answer is:
32 books, each if height 3/4 inch, are required to build a stack 24 inches high.
3x+3x+3x+3x+4x
what is the measure of vertex A
Answer:
16x
Step-by-step explanation:
just sum all of it friend π - π
the awnser is 16x duh that's easy how do u not know
Helppp pleaseeee 10 points
Answer:
x ≥ 3
Step-by-step explanation:
Solve for x by dividing both sides by -7. When dividing by a negative, you have to flip the inequality.
-7x ≤ -21
-7x/-7 ≤ -21/-7
x ≥ 3
Since it is greater than or equal to, put a closed circle over 3 with the arrow going right -------->