Step-by-step explanation:
Find the radius: 6 ÷ 2 = 3m
Circumference = 2r with pi = 3cm x 3.14cm x 2 = 18.84m
Area = pi x 3cm x 3cm = 28.27m2
Calculate the circumference and area of given triangle.
Formula applied:Circumference of circle = 2πr
Area of circle = πr²
Solution:Radius,r = diameter/2 => 6/2 = 3 m
( i ) As we know that formula of circumference,
Circumference of circle = 2πr
\( \bf \: \star \: putting \: the \: values\)
\( \implies \: 2 \times 3.14 \times 3\)
\( \implies \: 6.28 \times 3\)
\( \implies \: 18.84 \: m\)
(ii) As we know,
Area of circle = πr²
\( \bf \star \: putting \: the \: values\)
\( \implies \: 3.14 \times {(3)}^{2} \)
\( \implies \: 3.14 \times 9\)
\( \implies \: 28.26 \: m {}^{2} \)
Find the sum of (-109) and 312, subtract (150)
Answer:
the answer is 62
Step-by-step explanation:
-109+321-150
212-150
62
Help me please! I don’t understand
Answer: Yes, they receive more than $82 for their job
Step-by-step explanation:
First, take 70 times 0.05% = $3.50
Then add them to equal $73.50 is their charge for the job!
Now it says that the homeowner tip 15%
So take 73.50 times 0.15% = $11.03
Then add 73.50 with 11.03 = $84.53
Yes, they receive more than $82 for their job
A bag of pet food weighs 3 Kilograms.
If a dog eats 300 grams of food each day, how many days will that food last?
Answer:
10 days
Step-by-step explanation:
3 kilograms -> 3000 grams
3000 grams / 300 grams per day = 10 days of food. (that is a lot for a dog to eat-)
1. How many miles can I expect to drive
if I have 5 gallons of gas in my tank?
Answer:
1 gallon of gas gives an average of 20 miles, so 5 should get you about 100 depending on how fast your driving and what car you're driving.
Which expression is equivalent to (9.2 × 12) + (9.2 × 10.4)
Answer:
9.2(12+10.4)
Step-by-step explanation:
which elapent weight 2.85 tons round to the nearst hundreth
Is 2.475858493 rational or irrational
Answer:
Irrational
Step-by-step explanation:
An investment firm invested in two companies last year. They invested $8000 in Company A and made a profit of 11%. They invested $24,000 in Company B and made a profit of 13%. What was the investment firm's total profit?
Answer:
The investment firm's total profit is $4,000
Step-by-step explanation:
The Profit from Company A = 11% * $8,000
= 11 * $8,000/100
= $880
The Profit from Company B = 13% * $24,000
= 13 * $24,000/100
= $3,120
The total profit = $880 + $3120
= $4,000
Thus, the investment firm's total profit is $4,000
if 500 pieces of something is a pound how much does 1 piece weigh?
Answer:
0.002 pounds
Step-by-step explanation:
1lb / 500 = 0.002 pounds
How many 5/16 's are in 1 and 1/17?
Answer:
3
Step-by-step explanation:
which of the choices represents the number of days a taxpayer is allowed to extend the time to petition the tax court?a. 10 days, plus any days the location was unavailable or inaccessible. b. 12 days, less any days the location was unavailable or inaccessible. c. 14 days, plus any days the location was unavailable or inaccessible.d. 21 days, less any days the location was unavailable or inaccessible.
The right response is 21 days, minus any days that the location was unavailable or inaccessible.
What is the time petition of the tax court?This is due to the fact that taxpayers have 21 days starting from the date of the Notice of Deficiency to file a petition with the Tax Court, as per the Internal Revenue Service. However, the taxpayer can be given longer time to submit the petition if their place of residence or business was inaccessible or unavailable as a result of a natural disaster..
Upon receiving a Notice of Deficiency, the Internal Revenue Service (IRS) gives taxpayers 21 days to file a petition with the Tax Court. This petition is a formally filed motion asking the court to consider the proposed assessment of the IRS and resolve the taxpayer's disagreements with the agency.
Therefore, the right response is 21 days, minus any days that the location was unavailable or inaccessible.
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Convert 4.5 x 104 to decimal format.A) 45,000 B) 4,500 C) 0.00045 D) 0.0045 E) 0.000450
After converting \(4.5 * 10^4\) to decimal format, one gets 45,000 as an answer. Thus, option (A) is the correct answer.
To convert numbers multiplied by 10 with having an exponent number to decimal format, one first needs to check the sign on the exponent.
If the sign is positive, we must shift the decimal to the right with each power of 10. The exponent indicates the number of zeros added after the number in case no decimal is used.
And if the sign is negative, we have to shift the decimal to the left with each power of 10. One has to divide the number by the number one gets after multiplying 10 by itself as many times as the exponent.
Therefore, to convert \(4.5 * 10^4\) to decimal format, we shift the decimal by 4 places and we get 45,000 as the answer.
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the sum of two consecutive even integers is 74 what are the two numbers
Answer: 36 and 28
Step-by-step explanation:
x + x+2 = 74
2x = 72
x1 = 36
x2 = 28
c=4x+5y make x the subject of the formula
Step-by-step explanation:
c=4x+5y
c-5y=4x
x=c-5y
4
hope it helps.
Answer:
-4x=5y-c
-4/-4x=5y/-4-c/-4
x=-5y/-4+1/4c
Can you help me •,__,•
Answer:
-14+8q
Step-by-step explanation:
Open the prentheses by using distributive property.
\(( - 7 + 4q)2 \\ - 14 + 8q\)
If a triangle is equilateral, then all the sides in the triangle are congruent.If all the sides in a triangle are congruent, then all the angles are congruent.
Answer:
Where's the question?
Step-by-step explanation:
8. What's the GCF of *
(1 Point)
4x2 - 6x + 8
Answer:2
Step-by-step explanation:
Before beginning voice lessons, Wanda already knew how to sing 19 pieces, and she expects to learn 1 new piece during each week of lessons. After 12 weeks of voice lessons, how many pieces will Wanda be able to sing, in total?
Answer:
19+12 = 31 pieces
Step-by-step explanation:
solve for x in [0, π]: 2 cos(x) > sec(x)
The value for x is 7π/6 and 11π/6.
sin2xsecx+2cosx=0
(2sinxcosx)(1/cosx)+2cosx=0
sinxcosx/cosx+2cosx=0
So,
2sinx+2cosx=0
2(sinx+cosx)=0
(2(sinx+cosx))²=0
4(sin²x+cos²x+2sinxcosx)=0
hence,
(sin²x+cos²x+2sinxcosx)/4=0/4
sin2x+cos2x+2sinxcosx=0
1+sin2x=0
sinx=−1/2
=7π/6 and 11π/6
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An architect wants to reduce a set of blueprints to make a portable set for easy access. The original dimensions of the blueprints are 24 inches by 36 inches. She reduces the blueprints by a scale factor of 13. She then decides that the reduced blueprints are a little too small and enlarges them by a scale factor of 1.25. Will the final image fit in a similar portfolio with an area of 160 square inches? Justify your response.
The final image will fit in a similar portfolio with an area of 160 square inches.
How to obtain the area of a rectangle?To obtain the area of a rectangle, you need to multiply its length by its width. The formula for the area of a rectangle is:
Area = Length x Width.
The dimensions for this problem are given as follows:
24 inches, 36 inches.
With the reduction with a scale factor of 1/3, the dimensions are given as follows:
8 inches, 12 inches.
With the enlargement by a factor of 1.25, the dimensions are given as follows:
10 inches and 15 inches.
Hence the area is given as follows:
15 x 10 = 150 square inches.
As the area of 150 square inches is less than 160 square inches, the final image will fit in a similar portfolio with an area of 160 square inches.
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adelia had 4 dollars. she found 50 cents then bought a snack. she ended up with 6 quaters. which expression equals the numbers of dollars adelia spent on the snacks
Answer:
4.00 - 0.50 = 3.50
Step-by-step explanation:
What is the value of p in the equation?
One-fourth (8 minus 4 p) + 2 p = 12
–20
–2
5
10
The value of p that satisfies the equation is 10. Option D
To find the value of p in the equation "One-fourth (8 minus 4p) + 2p = 12," we need to solve for p. Let's break down the steps to find the solution:
Distribute the 1/4 to the terms inside the parentheses:
(1/4) * (8 - 4p) + 2p = 12
Simplify the expression:
2 - p + 2p = 12
Combine like terms on the left side of the equation:
-p + 2p = 12 - 2
Simplify further:
p = 10
Therefore, the value of p in the equation is 10.
Looking at the given answer choices:
A) –20
B) –2
C) 5
D) 10
We can see that the correct answer is D) 10, as determined by solving the equation. The value of p that satisfies the equation is 10.
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Which function has a range of all real numbers greater than or equal to -4?
A. f(x) = x-4
B. f(x) = -4x
C. f(x) = (x+1)^2 - 4
D. f(x) = -|x-3|-4
Answer:
C. \(f(x)=(x+1)^2-4\)
Step-by-step explanation:
A. the graph is a straight line with slope 1. It goes up/down infinitely far so the range is all real numbers. Not A!
B. The graph is a straight line with slope -4, so, like the function in A, the range is all real numbers. Not B!
D. The graph is an absolute value function y = |x|, reflected over the x-axis, shifted right 3 units, then shifted down 4 units. So the graph starts witha "vee" shape opening up, becomes a vee opening down, then ultimately gets shifted down 4 units. The range is all real numbers less than or equal to -4.
See the attached graphs. image2 is the function in answer choice D.
Select the statement that is true about the line plot.
A line plot with the title Read a Thon. Below the line is the label Measurement in Hours. The line begins at 5 and ends at 8. Each whole is partitioned into four equal parts. There are two marks above five, zero marks above five and one fourth, zero marks above five and two fourths, five marks above five and three fourths, four marks above six, two marks above six and one fourth, one mark above six and two fourths, two marks above six and three fourths, three marks above seven, zero marks above seven and one fourth, four marks above seven and two fourths, two marks above seven and three fourths, and zero marks above eight.
The median is six and one fourth.
The mode is seven and two fourths.
The range is five and three fourths.
There are 23 values in the data set.
The correct statements are:
The median is six and one-fourth.
The mode cannot be determined from the given information.
The range is five and three-fourths.
What is the median?The median measures the central tendency in a dataset, which is the middle value when the data is arranged in order from lowest to highest (or highest to lowest). If the dataset has an odd number of values, the median is the middle value. If there is an even number of values in the dataset, the median is the average of the two middle values.
The median is six and fourth: This statement is true based on the given information that there are 11 marks on the line plot above 6 and fourth, and 11 marks below.
The mode is seven and two-fourths: This statement is false based on the given information. The mode is the value that appears most frequently in the dataset, and there are no values that appear more than once in the given data.
The range is five and three-fourths: This statement is true based on the given information. The range is the difference between the highest and lowest values in the dataset, which in this case is 5 and three-fourths (8 minus 2 and one-fourth).
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An amusement park sold 15 child tickets. The other 35 tickets it sold were
adult tickets. What is the ratio of the number of adult tickets to the number of
child tickets?
Answer:
3 : 7
Step-by-step explanation:
RatioRatios are Proportinalised Numbers that we can use to compare number of units relative to the other value.
Eg. 3 : 15 = 1 : 5
SolutionGiven Information from the Question:
15 Child Tickets : 35 Adult Tickets
Now we reduce them to simplest form.
(15 ÷ 5) : (35 ÷ 5) = 3 : 7.
Therefore the ratio of Child Tickets to Adult Tickets is 3 : 7.
What is the probability of each possible sample if a random sample of size 3 is to be drawn from a finite population of size? (a) 4 (b) 6 (c) 12 (d) 18
Since the graph shows the population P in a small industrial city from 1950 to 2000, we can assume that x = 0 corresponds to 1950, x = 10 corresponds to 1960, x = 20 corresponds to 1970, x = 30 corresponds to 1980, and x = 40 corresponds to 1990.
(a) To find the average rate of change of P between x = 20 and x = 40, we can use the formula:
average rate of change = (change in P) / (change in x)
The change in P between x = 20 and x = 40 is:
P(40) - P(20) = 60 - 80 = -20
The change in x between x = 20 and x = 40 is:
40 - 20 = 20
Therefore, the average rate of change of P between x = 20 and x = 40 is:
average rate of change = (-20) / (20) = -1
(b) The value of the average rate of change that we found in part (a) is -1. This means that the population of the small industrial city was decreasing at an average rate of 1 unit per year between 1990 and 1970. In other words, for every year that passed during this time period, the population decreased by an average of 1 person. This rate of decline is relatively slow, but it could have significant long-term effects on the city's economy, infrastructure, and social dynamics if it continued for a prolonged period of time.
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what do functionalists view as the purpose of the incest taboo?
If h(x) = x - 7 and g(x) = x2, which expression is equivalent to (g0h)(5)?
O (5 – 7)^2
O (5)² – 7
0 (5²(5 – 7)
O (5 – 7)x^2
Answer:
A
Step-by-step explanation:
I honestly couldn't tell you how to do this, I don't understand it. I just took the test and got this question correct. The answer is A, (5-7)^2.
Please help me! thank you
Suppose an object is thrown upward with initial velocity of 48 feet per second from a high of 120 feet. The height of the object t seconds after it is thrown is given by h(t)=-16t^2+48t+120. Find the average velocity from t=2 to t=4.
Type your answer as a number with no units.
The average velocity from t = 2s to t = 4s would be - 48 ft/s.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.
Given is that an object is thrown upward with initial velocity of 48 feet per second from a high of 120 feet. The height of the object t seconds after it is thrown is given by h(t) = - 16t² + 48t + 120.
Average velocity
Average rate of change of velocity with time is called average velocity. Mathematically -
v{avg.} = Δx/Δt .... Eq { 1 }
Δx = x(4) - x(2)
Δx = - 16(4)² + 48(4) + 120 - {- 16(2)² + 48(2) + 120}
Δx = - 96
Δt = 4 - 2 = 2
So -
v{avg.} = Δx/Δt = -96/2 = - 48 ft/s
Therefore, the average velocity from t = 2s to t = 4s would be - 48 ft/s.
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David buys 3 movie tickets for $6 each and 2 bags of popcorn
for $2 each. Simplify the expression 3.6 +2.2 to find out how
much money David spent in all
Answer:
5.8 thats the answer you get when it is simplified and 1 movie ticket=$2 and 1 bag of popcorn= $1
Step-by-step explanation: