Answer:
50pi circumference
96pi area
Step-by-step explanation:
The outer pathway is a circle of radius 25, so the circumference is
2*pi*25 or 50pi
The are is pi*r^2 or 625 pi - pi*23^2 = 96pi
Multiply.
11 x 2 =
Submit
Is it 22
Answer:
yes
Step-by-step explanation:
Answer:
Yes...yes it is.
Step-by-step explanation:
Another way to help you see it is as adding 11 + 11, because the equation is stating that there are two 11's.
80 people were asked which was their favourite animal.
The pictogram shows the results.
The key is missing.
Cat
a)
Which animal was the least popular?
b)
How many people does
represent?
Dog
Giraffe DDI
Monkey D.
Dolphin
c)
How many more people preferred
giraffes than dogs?
Answer:
(a)Cat
(b)8 animals
(c)6 people
Step-by-step explanation:
From the attached diagram:
Let the [tex]\square[/tex] be x.
Half of [tex]\square[/tex] =x/2
From the pictogram, we then have:
[tex]Cat = x+\frac{x}{4} \\Dog=x+\frac{3x}{4}\\Giraffe=2x+\frac{x}{2}\\Monkey =x+\frac{x}{2}\\Dolphin=3x[/tex]
Therefore:
[tex]x+\frac{x}{4} +x+\frac{3x}{4}+2x+\frac{x}{2}+x+\frac{x}{2}+3x=80\\8x+\frac{x}{4}+\frac{3x}{4}+\frac{x}{2}+\frac{x}{2}=80\\10x=80\\x=8[/tex]
So we have the following numbers
[tex]Cat = x+\frac{x}{4} =8+\frac{8}{4}=10\\Dog=x+\frac{3x}{4}=8+\frac{3*8}{4}=14\\Giraffe=2x+\frac{x}{2}=2*8+\frac{8}{2}=20\\Monkey =x+\frac{x}{2}=8+\frac{8}{2}=12\\Dolphin=3x=3*8=24[/tex]
(a)Cat was the least popular
(b) [tex]\square[/tex] represents 8 animals
(c)
Number of People who preferred giraffe=20
Number of People who preferred dogs=14
Difference=20-14=6
Therefore, 6 more people preferred giraffes than dogs.
A pictogram is a simple drawing that represents something
(a). Cat is least popular animal
(b)Total 8 complete square in given pictogram represented 64 people.
(c) 6 more people preferred giraffes than dogs.
Let us consider that a large complete square represented by variable y .
Since, peoples whose favourite animal is cat is represented by a complete square and one fourth of square.
It means, Peoples who like cat = [tex]y+\frac{y}{4}[/tex]
Similarly,
People who like dog = [tex]y+\frac{3}{4}y[/tex]
Peoples who like Giraffe = [tex]2y+\frac{y}{2}[/tex]
Peoples who like monkey = [tex]y+\frac{y}{2}[/tex]
Peoples who like Dolphin = [tex]3y[/tex]
Since, total people = 80
Therefore,
[tex]y+\frac{y}{4}+y+\frac{3}{4}y+2y+\frac{y}{2}+y+\frac{y}{2} +3y=80\\\\10y=80\\\\y=\frac{80}{10}=8[/tex]
So, a complete large square is equivalent to 8 peoples.
Peoples who like giraffes = [tex]2y+\frac{y}{2}=2(8)+\frac{8}{2}=20[/tex]
Peoples who like dog = [tex]y+\frac{3}{4}y=8+(\frac{3}{4} ) 8=14[/tex]
So, 20 - 14 =6 more people preferred giraffes than dogs.
Thus,
(a) Cat is least popular animal
(b)Total 8 complete square in given pictogram represented 64 people.
(c) 6 more people preferred giraffes than dogs.
Learn more:
https://brainly.com/question/23021563
I do not understand this math.
How many inches are in a square foot?
Answer:
144 inches.
Step-by-step explanation:
One foot = 12 inches
One square foot = 144 inches.
Answer:
144
Step-by-step explanation:
Foot=12 inch
Square foot= foot times foot
Square foot= 12 inch times 12 inch
Square foot= 144 square inch.
Identifying a proportion Which proportion resulted in the equation 3a = 7b
Answer:
a
Step-by-step explanation:
Identifying a proportion Which proportion resulted in the equation 3a = 7b
Answer:
B
Step-by-step explanation:
In RST, the measure of
Answer:
27.5 degrees
Step-by-step explanation:
First, choose which method would work in this problem, SOH, CAH, or TOA.
We have opposite, O and adjacent, A. So we have an O and an A.
Thus, we should use TOA.
Tangent x = 44/84
Tangent x= 0.52
x= Tangent^-1 (0.52)
x=27.5 degrees
Answer:27.6
Step-by-step explanation:
Please help with this question thank you!
Find the area of the shaded region. Can I have the steps explained please?
Answer:
76.3 cm²
Step-by-step explanation:
step 1
area of circle= πr²= 3.14*5²= 78.6 cm²step 2
area of 60° sector= 60/360*area of circle= 1/6*78.6= 13.1 cm²step 3
Area of equilateral triangle = √3/4a²= √3/4*5²= 10.83 cm²step 4
Area of circle - area of sector + area of triangle= 78.6 - 13.1 + 10.8= 76.3 cm²If f(x) = 3x2 + 1 and g(x) = 1 - x, what is the value of (f - g)(2)
Answer:
14
Step-by-step explanation:
(f - g)(x) = f(x) - g(x)
f(x) - g(x)
= 3x² + 1 - (1 - x)
= 3x² + 1 - 1 + x
= 3x² + x , thus
(f - g)(2)
= 3(2)² + 2 = 3(4) + 2 = 12 + 2 = 14
Please help ASAP! Correct answer only! I need to finish this assignment today.
There are 9 college students running for student government class president. The candidates include 5 biology majors.
If 5 of the candidates are randomly chosen to give the first 5 speeches, what is the probability that exactly 3 of the chosen candidates are biology majors?
Write your answer as a decimal rounded to four decimal places.
Answer:
0.4762
Step-by-step explanation:
There are 9C5 = 126 ways to choose 5 candidates to give speeches. There are (5C3)(4C2) = 60 ways that 3 of those candidates can be biology majors (and the other two can be non-biology majors). The probability of interest is ...
60/126 ≈ 0.4762
__
nCk = n!/(k!(n-k)!)
Which rule represents the translation from the pre image, rhombus ABCD, to the image rhombus A'B'C'D' ?
Answer:
Square ABCD was translated using the rule (x, y) → (x - 4, y + 15) to form A'B'C'D'.
is it a proportional relationship
Answer:
Yes
Step-by-step explanation:
Which graph represents an exponential function?
Answer:
The 1st Picture
Step-by-step explanation:
An exponential function is a base with an exponent of x. The parent graph f(x) will always have an asymptote at x= 0 and curve steeply.
Answer:
A
Step-by-step explanation:
took it a minute ago on edg
Three tickets to attend an Off-Broadway show cost $81, 4 tickets cost $108, and 5 tickets cost $135. Show that the relationship between number and the cost is a proportional relationship by making a table of tickets for 1 to 5 tickets. Show your work. Number of Tickets 1 2 3 4 5 Total Cost ($) What is the constant of proportionality, k? Write and Equation for the relationship. (Remember to state what the variables represent)
Answer:
k=27y=27xStep-by-step explanation:
3 tickets to attend an Off-Broadway show cost $81,
4 tickets cost $108; and
5 tickets cost $135.
Let the price of a ticket=k
Therefore:
3k=814k=1085k=135Solving any of the equation above gives: x=27
We therefore have:
[tex]\left|\begin{array}{c|c|c|c|c|c}$Tickets&1&2&3&4&5\\$Total Cost(\$)&27&54&81&108&135\end{array}\right|[/tex]
Let y be the total cost of x tickets
From the above, the constant of proportionality, k=27An equation for the relationship is therefore:
y=27x (where x is the number of tickets and y is the total costs (in $)).
Suck at maths! HELP!
Answer:
Step-by-step explanation: you can use a protractor if you have 1 or seeing as the bottom left is 65, the bottom right will be the same, mostly a guess but half 65 and try that.
Please help! Correct answer only, please! I need to finish this assignment this week. What are the dimensions of the matrix shown below? A. 3 X 15 B. 5 X 3 C. 15 X 3 D. 3 X 5
Answer:
3 x 5
Step-by-step explanation:
The dimension of a matrix is normally represented in form of:
number of rows x number of columns
In the given matrix, there are 3 rows and 5 columns.
=> The dimension of this matrix is 3 x 5
=> Option D is correct
Hope this helps!
Simply the expression [tex]\frac{x-7}{3} - \frac{5-x}{2}[/tex]
Answer: [tex]\frac{5x-29}{6}[/tex]
Step-by-step explanation:
To simplify the equation, we can just subtract the 2 fractions. First, we need to make sure they have a common denominator.
[tex]\frac{2(x-7)}{6} -\frac{3(5-x)}{6}[/tex]
Now that the fractions have the same denominator, we can distribute the numerator and subtract.
[tex]\frac{2x-14}{6} -\frac{15-3x}{6} =\frac{2x-14-15+3x}{6} =\frac{5x-29}{6}[/tex]
Help pls! I ended up getting the wrong answer, so an explanation would help! (:
Answer:
4p squared - 28pqStep-by-step explanation:
4p(p−7q)
=(4p)(p+−7q)
=(4p)(p)+(4p)(−7q)
=4p squared −28pq
Please answer the following:
CLASS 8 SPOT TEST
1. WHAT IS THE PROBABILITY THAT AN INTEGER CHOSEN AT RANDOM BETWEEN 1 TO 10 INCLUSIVE IS EVEN?
2. A BAG CONTAINS 5 WHITE, 4 BLACK AND 1 BLUE BALLS. ONE BALL IS CHOSEN AT RANDOM. WHAT IS THE PROBABILITY THAT IT IS BLACK?
3. FIND THE PROBABILITY OF GETTING AN ODD NUMBER IN A SINGLE TOSS OF A FAIR DIE?
4. A FAIR DIE IS THROWN 900 TIMES. FIND THE NUMBER OF TIMES YOU WOULD EXPECT TO GET A 6.
5. THE PROBABILITY THAT IT WILL BE CLOUDY TOMORROW IS 0.45. WHAT IS THE PROBABILITY THAT IT WILL NOT BE CLOUDY TOMORROW?
Step-by-step explanation:
1. Of the following 10 numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, 10.
Only these 5 are even: 2, 4, 6, 8, 10.
The probability on an even number is 5 / 10 = 0.5 = 50%
2. The total number of balls is 10.
5 WHITE, 4 BLACK AND 1 BLUE
The probability on a black ball is 4 / 10 = 0.4 = 40%
3. A fair die can show the following 6 numbers 1, 2, 3, 4, 5, 6.
Only these 3 are odd: 1, 3, 5.
The probability on an odd number is 3 / 6 = 0.5 = 50%
4. The probability of a six is 1 / 6. If the die is cast for 900 times you can expect it to be 900 * 1 / 6= 900/6 = 150. The number of times you would expect a 6 would be 150.
5. If the probability on a cloudy tomorrow is 0.45, then in mathematics, that defines the propability for an non cloudy tomorrow as 1 - 0.45 = 0.55, which is 55%.
(The total should always add up to 100%).
If g(x)=2x-1 and h(x)= swuare root x, find (g o h) (9)
Answer:
5
Step-by-step explanation:
To evaluate (g ￮ h)(9), evaluate h(9) , then use this value to evaluate g(x)
h(9) = [tex]\sqrt{9}[/tex] = 3, then
g(3) = 2(3) - 1 = 6 - 1 = 5
could someone please help with these two questions (I WILL MARK BRAINLAST)
question 1: which of these points lies on the line y = -x + 2
question 2: evaluate: -ab-a if a=-4 and b =-5
Answer:
1. b
2. -16
Step-by-step explanation:
1. -1+2 is equal to 1 so it works
You plug in each of the coordinates x and y variables on the graph and find one that satisfies the equation.
2. -(-4)(-5) is -20
-(-4) is = 4
-20+4 is -16
which expression is equivalent to: -9x^-1y^-9/-15x^5y^-3
Answer:
3 / 5x^6y^6
Step-by-step explanation:
= -9x^-1y^-9/-15x^5y^-3
= -9y-9 / -15x^6y^-3
= -9 / -15x^6y^6
= 3 / 5x^6y^6
Answer:
b on edge
Step-by-step explanation:
On a road trip you see a sign "350 km to Indianapolis". About how many hours will it
take you to drive to Indianapolis if you are traveling at 68 mi/h (1 mile 1.61 km).
Round your answer to the nearest hundredth.
Answer: 3.20 hours
Step-by-step explanation:
Hi, to answer this question, first we have to convert the kilometers into miles:
Since: 1 mile = 1.61 km
For 350km:
350 /1.61 = 217.39 miles
Next, we have to apply the next formula:
Time = distance / speed rateReplacing with the values given:
Time = 217.39 mi / 68 mi/h = 3.20 hours
Feel free to ask for more if needed or if you did not understand something
The names of 5 boys and 5 girls are in a hat. What is the probability of first drawing a girl’s name and then a boy’s name from the hat?
Answer:
9/20
Step-by-step explanation:
The probability of drawing a girl's name is 0.5, since there are 5 girls in 10 kids here. If that girl's name is not replaced, then the probability of drawing a boy's name is 5/9, since there are still such names but the total number of names is now 9.
Thus, the probability of this joint event is (0.5)(9/10) = 4.5/10 = 9/20
Answer:
so drawing a girls name from the hat would be 5/10 since 5 girls are there out of 10 students in total. After, you pick the girls name the total number of student names would become 9 and since there are 5 guys, you get a 5/9 probability
Language is a complex system that includes the ways we express ourselves, such as speaking or writing, and ways we receive information, such as listening and reading. a. true b. false
Answer: False, language is a more specific word.
Step-by-step explanation:
Language is a complex and structured system of communication.
This word particularly refers to the "artificial codes or ciphers" that humans use to communicate.
The thing in the sentence is more general than language, this refers to communication:
"Communication is a complex system that includes the ways we express ourselves, such as speaking or writing, and ways we receive information, such as listening and reading."
So the actual sentence is false.
Isabella changes 700 euros to pounds sterling for her trip to England. The exchange rate is 1 euro = £0.72 How many pounds will she get?
Answer:
700/1=700
Th ratio is 700 times more so we multiply by 700
700 x 0.72 = 504
504 pounds
Hope this helps
Step-by-step explanation:
She will get 504 pounds by multiplying 700×0.72= 504.
What is the benefit of changing currency?Official currency substitution helps to promote fiscal and monetary discipline and thus greater macroeconomic stability and lower inflation rates, to lower real exchange rate volatility, and possibly to deepen the financial system.
Can you change the currency at the bank?
Many banks offer currency exchange to their customers. Though there may be a small fee, your bank or credit union will almost always be the best place to exchange currency (and the cheapest).
Learn more about Currency here https://brainly.com/question/24373500
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Divide 21a^3-14a by -7
Answer:
A
Step-by-step explanation:
[tex]\dfrac{21a^3-14a}{-7}= \\\\\\\dfrac{-7(-3a^3+2a)}{-7}= \\\\\\-3a^3+2a[/tex]
Hope this helps!
Vertical angles are always adjacent.
True False
Answer:
False
Step-by-step explanation:
Vertical angles are opposite to each other, so they are not adjacent.
factorise 32 x cube minus 8 y square
Answer: [tex]8(4x^3-y^2)[/tex]
Step-by-step explanation:
[tex]32x^3-8y^2[/tex]
[tex]8(4x^3-y^2)[/tex]
How are the equations of a parabola, ellipse, and hyperbola created?
Answer:
ellipses and hyperbolas as a simple form has the x-axis as principal axis and the origin (0,0) as center. If it's a circle, c = 0 so a2 = b2. And for the parabola, the standard form has the focus on the x-axis at the point (a, 0) and the directrix the line with equation x = −a.
(I'm sorry I got most of this from google) :(