Answers
Answer:
Step-by-step explanation:
Circumference is given by the formulas :
[tex]2\pi r[/tex] or [tex]\pi d[/tex]
Since we are given the diameter we can use the second one :
We are told to use 3.14 for π :
C = (3.14)×(16)
C = 50.24
Area of a circle is given by the formula:
[tex]\pi r^{2}[/tex]
To work out r we simply half the diamter:
16÷2 = 8
Now we put this into the area formula:
π(8)² = 64π
We are told to use 3.14 as pi so:
64π = 64×3.14 = 200.96
Answer:
Circumference = 50.24 in
Area = 200.96 in²
Step-by-step explanation:
First, let us find the circumference of the circle.
For that, let us use this formula.
C = π d
Given that,
d ⇒ diameter ⇒ 16 in
Let us find now.
C = π d
C = 3.14 × 16
C = 50.24 in
And now let us find the area of the circle.
Before that, let us find the radius.
d = 2r
16 = 2r
Divide both sides by 2.
8 in ⇒ radius
Let us use the below formula to find the area of the circle.
A = π r²
A = 3.14 × 8 × 8
A = 200.96 in²
Related Questions
Given m < AFB = 40, m < BAF = 90, and m < AGD = 86. Find measure of arc AC.
Answers
=================================================
Explanation:
Refer to the figure below.
Focus on triangle ABF. Angle AFB = 40 is marked in red. Angle BAF = 90 is marked in blue. The missing angle is 180-90-40 = 50 which is angle ABF.
Inscribed angle ABF = 50 doubles to arc AC since this inscribed angle subtends the arc in question. I'm using the inscribed angle theorem.
arc AC = 2*(angle ABF) = 2*50 = 100 degrees
Note: We don't need the fact that angle AGD = 86
Solve the system of equations.
−4x+11y=15
x=2y
Answers
Hope this helps ....... :)
A cube has total surface area 150 cm square, find the volume of cube. somebody help me to solve this.
Answers
We have been provided with the total surface area of cube that is 150cm².
So here we will first find out the value of a side of cube.
★ Total surface area of cube :-
T.S.A. = 6a²Here,
a is side of cubePutting the values,
6a² = 150cm²
a² = 150 / 6
a² = 50 / 2
a² = 25
a = √25
a = 5
Henceforth,
Side of a cube is of 5 cm.★ Finding out volume of cube :-
As we know that volume of cube is calculated by the formula :
V = a³Putting the values,
V = 5³
V = 5 × 5 × 5
V = 25 × 5
V = 125
Henceforth,
Volume of cube is of 125 cm³.Find two solutions to the following system of inequalities. Please write it in ordered pair form.
Answers
Answer:
(5, 5) and (6, 1)
Step-by-step explanation:
Solutions to the system of inequalities are any points that are in the overlapped shaded region.
For example (5, 5) and (6, 1)
ProofFind the equations of the two lines.
Blue line
Two points on the line: (-5, 8) and (0, -7)
[tex]\implies \sf slope\:(m)=\dfrac{change\:in\:y}{change\:in\:x}=\dfrac{-7-8}{0-(-5)}=-3[/tex]
Point-slope form of linear equation: [tex]\sf y-y_1=m(x-x_1)[/tex]
(where m is the slope and (x₁, y₁) is a point on the line)
[tex]\implies \sf y-(-7)=-3(x-0)[/tex]
[tex]\implies \sf y=-3x-7[/tex]
As the shading is above the line, and the line is dashed:
[tex]\sf y > -3x-7[/tex]
Red line
Two points on the line: (0, -9) and (2, 1)
[tex]\implies \sf slope\:(m)=\dfrac{change\:in\:y}{change\:in\:x}=\dfrac{1-(-9)}{2-0}=5[/tex]
Point-slope form of linear equation: [tex]\sf y-y_1=m(x-x_1)[/tex]
(where m is the slope and (x₁, y₁) is a point on the line)
[tex]\implies \sf y-(-9)=5(x-0)[/tex]
[tex]\implies \sf y=5x-9[/tex]
As the shading is below the line, and the line is solid:
[tex]\sf y\leq 5x-9[/tex]
[tex]\sf Inequality\:1: y > -3x-7[/tex]
[tex]\sf Inequality\:2:y\leq 5x-9[/tex]
Point (5, 5)
[tex]\sf Inequality\:1\implies -3(5)-7=-22 < 5\: \implies\:true[/tex]
[tex]\sf Inequality\:2\implies 5(5)-9=16 > 5\: \implies\:true[/tex]
Point (6, 1)
[tex]\sf Inequality\:1\implies -3(6)-7=-25 < 1\: \implies\:true[/tex]
[tex]\sf Inequality\:2\implies 5(6)-9=21 > 1\: \implies\:true[/tex]
Leila wanted to order her IFTAR meal from La Gondola, Al Khobar. The menu stated that their pasta is a blend of wheat and corn. La Gondola does not disclose the percentage of each ingredient in the blend but we know that the wheat in the blend contains 5% protein, and the corn in the blend contains 10% protein. Overall, each 57 gram serving of pasta contains 4 grams of protein.
Leila told her sister that there was more wheat than corn in the pasta. Use multiple representations to justify if this is a true statement. (You may use DESMOS for graphing. You must also put in the algebraic solution and a table.)
Answers
Step-by-step explanation:
Let the amount of wheat is x and amount of corn is y.
The total amount of pasta is
x + y = 57Amount of protein in same pasta is
5% of x + 10% of y = 4or
0.05x + 0.1y = 4The graphical solution is attached
x = 34, y = 23It is easy to solve the system by substitution
y = 57 - x0.05x + 0.1(57 - x) = 40.05x + 5.7 - 0.1x = 40.1x - 0.05x = 5.7 - 40.05x = 1.7x = 1.7/0.05x = 34Then the value of y is
y = 57 - 34 = 23As we see x > y, so Leila is right
The above problem is solved using Multiple Representations. Multiple representations are used to achieve a deeper comprehension of concepts related to the same operation.
How do we evaluate the veracity of Leila's assertion?We can arrive at whether the statement is true or false by solving for the value of Y using the graphical method. Where Y is the amount of wheat and X is the amount of corn.
Our function is given as follows:
X + Y= 57. ..........1
Recall that the total amount of pasta is 57 grams
Recall as well that the total amount of protein in the pasta is given as:
0.05x + 0.1y= 4grams.......2
By inputting equations 1 and 2 into the Desmos Graph, we have x to be equal to = 34, and y = 23. (please see the attached image).
Recall that Leila's assertion was that there is more corn in the Pasta. Since x is the amount of corn, then Leila's assertion is True that: x>y.
The algebraic solution is arrived at using substitution.
Rewriting equation (1), we have
y = 57 - x .......................(3)
Let us substitute y into equation (2) above. That gives us:
0.05x + 0.1(57 - x) = 4.........................(4)
Expanding the brackets, we obtain
0.05x + 5.7 - 0.1x = 4
Collecting like terms, we can rewrite the quation as:
0.1x - 0.05x = 5.7 - 4
0.05x = 1.7
Rewriting the equation such that it is subject to x, we have
x = 1.7/0.05
x = 34
If from the above, x = 34, inputting that into equation (3) above, we have
y = 57 - 34; Therefore,
y = 23
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Express with fractional exponents instead of radicals.
6√x² y³
Answers
Answer:
using of fractional exponents give us the value 6(x^2y^3)^1/2 or 6xy^3/2.
P. 1. Evaluate the double integral
Answers
The given double integral results [tex]\frac{e^8-1}{4e^8}=0.25[/tex]
IntegrationThe integrals are the opposite of derivatives. They are used in several applications, like: calculations of areas, volumes and others.
For solving an integration, you should know its rules. For this question will be necessary to apply the following integration rules:
For constant function - ∫b dx = b ∫ dx= bx+CFor integration by parts - ∫u v dx = uv -∫v duFor exponential function - [tex]\int\ e^x \, dx[/tex] =[tex]e^x+C[/tex]Changing the order integration
[tex]\int _0^2\int _0^xe^{-2x^2}dydx[/tex]
[tex]\int _0^2xe^{-2x^2}dx[/tex]
[tex]\frac{e^8-1}{4e^8}=0.25[/tex]
Solve the system of equations by elimination. Show your work. i’ll give brainliest
Answers
Answer:
x = 5
y = 4
Step-by-step explanation:
multiply the second equation by -1 and add the first equation to eliminate "x"
[tex]4x+6y=44\\-4x-2y=-28[/tex]
_____________
[tex]4y=16[/tex]
[tex]y=16/4 =4[/tex]
Replace "y" in the first equation:
[tex]4x+6(4)=44[/tex]
[tex]4x+24=44[/tex]
[tex]4x=44-24[/tex]
[tex]x=20/4=5[/tex]
Hope this helps
Answer:
x = 5, y = 4.
Step-by-step explanation:
4x + 6y = 44 (A)
4x + 2y = 28 (B)
Subtract equations: (A) - (B).
0 + 4y = 16
y = 16/4
y = 4.
Now plug y = 4 into equation A:
4x + 6(4) = 44
4x = 44 - 24
4x = 20
x = 5.
Now check if these roots are correct by plugging them into equation B:
4x + 2y = 28
4(5) + 2(4) = 28 - check OK.
how many thousand equal 700 ten
Answers
No thousands, just 70
Answer:
seven
Step-by-step explanation:
What is the area of the obtuse triangle given below?
6, 18
Answers
Answer:
54
Step-by-step explanation:
A = 1/2 bh
A = 1/2 (6)(18)
A = 1/2 (108)
A = 54
Area of the Obtuse triangle whose measures are 6 and 18 is 54 square units.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
We need to find the area of the obtuse triangle whose base is six units and height is eighteen 18 units.
A triangle whose any one of the angles is an obtuse angle or more than 90° is called Obtuse.
The area of triangle is 1/2×Base×Height
Half base times of height
Area of triangle=1/2×6×18
=54 square units
Area is 54 square units.
Hence, Area of the Obtuse triangle whose measures are 6 and 18 is 54 square units.
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-7,-3,1,5,9
its about numeric and gemetric pattern how do we do it until to 10th term with clear styppes easy and answers too
Answers
-7 + 4(n-1). Use this and plug in 10 for n, making it
-7 + 4(9)
-7+36
29
Help answer question
Answers
Answer:
Yes and yes
Step-by-step explanation:
Find the slope of the line passing through (3,-4) and (3,8)
Answers
To find the slope ⇒ we must know the formula
Formula = [tex]\frac{y2-y1}{x2-x1}[/tex]
(x1, y1) ⇒ (3, -4)(x2, y2) ⇒ (3,8)Now let's solve and plug the known variables
Slope = [tex]\frac{8-(-4)}{3-3} =\frac{12}{0}[/tex]
Nothing can be divided by zero
⇒ in this case, the slope is undefined
*interesting fact: the line is vertical
Hope that helps!
find the mean, variance, and standard deviation of sampling distribution of the sample population p=.2 and n=107
Answers
Answer:
2923 is your p is equal to 2 and n
You roll a 6-sided die two times.
What is the probability of rolling a 5 and then rolling a 3?
Write your answer as a fraction or whole number.
Answers
Answer:
1/36
Step-by-step explanation:
The chance of you rolling a 5 is 1/6
While the chance of you rolling a 3 is a 1/6
If you want both a 5 then a 3 then you multiply the fractions
1/6 * 1/6 = 1/36
The circumference of circles
Answers
Answer:
circumference = 31.43 cm
Step-by-step explanation:
circumference = 2πr = 2 × 22/7 × 5 = 220/7
= 31.43 cm
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's find the circumference of given circle ~
Circumference :[tex]\qquad \tt\dashrightarrow \:c =2 \pi r[/tex]
where,
r = radius = 5 cmnow, let's calculate circumference ~
[tex]\qquad \tt \dashrightarrow \:c = 2 \times \pi \times 5[/tex]
[tex]\qquad \tt \dashrightarrow \:c = 10 \pi \: \: cm[/tex]
Now, let's plug in approximate value of pi :
[tex]\qquad \tt \dashrightarrow \:c = 10\times 3.14 \: \: [/tex]
[tex]\qquad \tt \dashrightarrow \:c = 31.4\: \: cm[/tex]
Select the correct answer.
What term is used to describe a metropolitan area that spreads out to include several cities?
O A. suburb
O B. megalopolis
OC. freeway
OD. urban core
Answers
Answer:
B. megalopolis
Step-by-step explanation:
Hope it helps you in your learning process.
Astronomers measure large distances in light-years. One light-year is the distance that light can travel in one year, or approximately 5,880,000,000,000 miles. Suppose a star is 13.6 light-years from Earth. In scientific notation, how many miles away is it?
a)5.88 × 1012 miles
b)7.9968 × 1013 miles
c)5.88 × 1013 miles
d)1.36 × 1012 miles
Answers
Answer:
b) 7.9968 × 1013 miles
Step-by-step explanation:
So one light-year equals 588 × 10^10
13.6 light-years equals 13.6 × 588 × 10^10 = 79968 × 10^9 = 7.9968 × 1013 miles
please answer
Tomato seed packets are sold in packs of 6 for $2.88. Watermelon seed packets are sold in packs of 4 for $3.04. How much more do the watermelon seeds cost per packet? a) 0.26 b) 0.20 c) 0.28 d) 0.48
Answers
Answer:
C) $0.28 per packet
Step-by-step explanation:
I divided them to find how much each packet costs
Each pack of watermelon costs $0.76
Each pack of tomato seed packet costs 0.48
Subtract and you have your answer!
0.76 - 0.48 = 0.28
need help with geometry (number 19)
Answers
Answer:
The answer is 65
Step-by-step explanation:
As تھ measure of angles of rectangle is 90
So 90-25 is equal to 65
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASETrue or false?
The greater a fractional part of a circle an angle takes up, the smaller it’s measurement will be.
Answers
This is the Answer :
true
how many gallons each of 25% alcohol and 5% alcohol should be mixed to obtain 20 gal of 8% alcohol?
Answers
[tex]\begin{array}{lcccl} &\stackrel{solution}{gallons}&\stackrel{\textit{\% of }}{amount}&\stackrel{\textit{gallons of }}{pure~alcohol}\\ \cline{2-4}&\\ \textit{25\% solution}&x&0.25&0.25x\\ \textit{5\% solution}&y&0.05&0.05y\\ \cline{2-4}&\\ mixture&20&0.08&1.6 \end{array}~\hfill \begin{cases} ~\hfill x + y &= 20\\\\ 0.25x+0.05y&=1.6 \end{cases} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{\textit{using the 1st equation}}{x+y=20\implies \underline{y = 20-x}} \\\\\\ \stackrel{\textit{substituting on the 2nd equation}}{0.25x~~ + ~~0.05(\underline{20-x})~~ = ~~1.6}\implies 0.25x+1-0.05x=1.6 \\\\\\ 0.20x+1=1.6\implies 0.2x=0.6\implies x=\cfrac{0.6}{0.2}\implies \boxed{x=3}[/tex]
"Last week you sold 30, 45, 50, 75, and 80 units each day of the week, in that order. On average, how many units did you sell per day?"
Answers
Answer:
56
Step-by-step explanation:
1) Add together all numbers. 30+45+50+75+80 = 280.
2) Divide result by amount of numbers. 280/5 = 56
3) You are welcome. :)
On an average, you sold 56 unit per, day.
What is average?A number that is calculated by adding quantities together and then dividing the total by the number of quantities.
Given that, Last week you sold 30, 45, 50, 75, and 80 units each day of the week.
To find the average, we will, first add together all numbers and then divide the result by the sum of numbers.
Therefore,
Adding together all numbers = 30+45+50+75+80 = 280.
Divide result by amount of numbers = 280/5 = 56
Hence, On an average, you sold 56 unit per, day.
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Charlie is riding his bicycle. He rides 44.8 kilometers in 7 hours. What is his speed in kilometers per hour?
Answers
This is because it’s distance / time
Check out this rectangular prism 2 2 5 5 2 2 Find the surface area of the rectangular prism (above) using its net (below).
Answers
I need help please due in 10 min
Answers
Answer:
Step 1. Plot x and y-intercepts
Step 2. Draw a line through the points
y = -1/2x - 2
m, rise over run = -1/2
b, y-intercept = (0, -2)
x-intercept = (-4, 0)
y = -1/3x - 4m, rise over run = -1/3
b, y-intercept = (0, -4)
x-intercept = (-12, 0)
Hope this helps! Good luck!
Dan needs to make a total of 25 deliveries this week So far he has completed 19 of them. What percentage of his total deliveries has Dan completed?
Answers
Answer:
76 percent.
Step-by-step explanation:
76% of deliver Dan completed
Explanation:
19/25
19 out of 25
Hope it helps, Let me know if you have any other questions!
Have a nice rest do your day :)
Abigail volunteers as a gift wrapper at a children's bookstore during the holiday season. She can gift wrap a book in 3.5 minutes. Let t be the total number of books she wraps, and let m be the total minutes she spends wrapping. The equation m=3.5t represents this situation. Graph the equation.
Answers
t is the number of books she wraps
So 3.5t is the total number of minutes she spends wrapping or m
For example on the graph
If she wraps 6 books then she spends a total of 21 minutes wrapping books because 3.5(6) is 21.
Factor 99-45f+36b99−45f+36b99, minus, 45, f, plus, 36, b to identify the equivalent expressions.
Choose 2 answers:
Choose 2 answers:
(Choice A)
A
9(11-5f+4b)9(11−5f+4b)9, left parenthesis, 11, minus, 5, f, plus, 4, b, right parenthesis
(Choice B)
B
3(33-15+12)3(33−15+12)3, left parenthesis, 33, minus, 15, plus, 12, right parenthesis
(Choice C)
C
11(9-4f+3b)11(9−4f+3b)11, left parenthesis, 9, minus, 4, f, plus, 3, b, right parenthesis
(Choice D)
D
3(33-15f+12b)3(33−15f+12b)3, left parenthesis, 33, minus, 15, f, plus, 12, b, right parenthesis
Answers
Answer:
its A and D dont listen to the other person lol
W
Solve the proportion.
3x/10=3/
Answers
Answer: 10, And i dont know how to really explain but the answer is 10