The radius of the base after rotating the rectangle will be 5
What is the radius of the base?Since it has a perimeter of 32 units and it is to be rotated about the line, the solid to be created is a cylinder.
Let's calculate its radius from the perimeter;
[tex]2p=32[/tex]
[tex]2(b+h)=32[/tex]
[tex]b+h=16[/tex]
[tex]b=16-h[/tex]
Also, [tex]bh=60[/tex]
Thus;
[tex]h(16-h)=60[/tex]
[tex]h^2-16h+60=0[/tex]
Using the online quadratic formula, we have h = 6
Thus; b = 16 - 6 = 10
Since the line of rotation is the center, and the radius is half the line segment of the basis, then the radius is 10/2 = 5.
Thus the radius of the base after rotating the rectangle will be 5
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Answer:
cylinder and 6 units
Step-by-step explanation:
on e2020
1 The graph below shows a relationship between x and y. }
Answer:
C. 1/2x +2
Step-by-step explanation:
We can see in the graph that the value of y for 2 its 3, so we have to test each equations to see which one is going to give us a 3 whit 2 as the x.
A. 2x2=4 (4≠3)B. 2+2=4 (4≠3)C. 1/2 x 2+2=3 D. 2x2+1/2= 4.5 (4.5≠3)e total weight of two garden statues was 714 pounds. If one statue weighed 342 pounds, how heavy was the other one?
Answer:
372
Step-by-step explanation:
Since we know the total weight which is 714 and we know the weight of one garden which is 342, all we need to do now is subtract:
714 - 342 = 372
Can someone please help me?
Step-by-step explanation:
the upper answered person is correct
kindly give her brainlist
thw
A study investigated about 3000 meals ordered from Chipotle restaurants using the online site Grubhub. Researchers calculated the sodium content (in milligrams) for each order based on Chipotle's published nutrition information. The distribution of sodium content is approximately Normal with mean 2000 mg and standard deviation 500 mg. About what percent of the meals ordered exceeded the recommended daily allowance of 2400 mg of sodium?
Answer:
21.186%
Step-by-step explanation:
z = (x-μ)/σ,
where
x is the raw score = 2400mg
μ is the population mean = 2000mg
σ is the population standard deviation = 500mg
z = 2400 - 2000/500
z = 0.8
Probability value from Z-Table:
P(x<2400) = 0.78814
P(x>2400) = 1 - P(x<2400) = 0.21186
Converting to percentage:
0.21186 × 100
= 21.186%
Therefore, the percent of the meals
ordered that exceeded the recommended daily allowance of 2400 mg of sodium is 21.186%
21.186% of the meals ordered exceeded the recommended daily allowance of 2400 mg of sodium.
It is known that 3000 meals ordered from Chipotle restaurants using the online site Grubhub.
And the distribution of sodium content is approximately Normal with mean 2000mg and standard deviation 500 mg.
We know,
[tex]z = \frac{(x- \mu)}{\(\sigma\)}[/tex],
And daily allowance of 2400 mg of sodium
x is the raw score = 2400mg
μ is the population mean = 2000mg
σ is the population standard deviation = 500mg
[tex]z = \frac{2400 - 2000}{500}[/tex]
z = 0.8
Probability value from Z-Table:
[tex]P(x<2400) = 0.78814\\P(x>2400) = 1 - P(x<2400) \\= 0.21186[/tex]
Converting to percentage:
[tex]= 0.21186 (100)\\= 21.186%[/tex]
Therefore, the percent of the meals ordered that exceeded the recommended daily allowance of 2400 mg of sodium is 21.186%.
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What is the formula for area?
A. area = width + length
B. area = length x width
C. area = width ÷ length
D. area = length x height
I need help, i will give points.
Shaun's parents agreed to pay 2/5 of the cost of a
bike, if he was able to save the rest. If his parents
gave him $92, how much did the bike cost?
Answer:
The bike was $230
Step-by-step explanation:
If 2/5 is $92 you can divide 92 by two like so,
92 ÷ 2 = 46
So ONE fifth is 46 to find out the total (5/5) you multiply by 5 so it would turn up like this,
46 × 5 = 230
The bike was $230
Hope that helps and have a great day!
pls I'm begging for help T-T
Q1. I will use team A's results to claim that their shoes are larger because the mean of team A is 13.92 whereas the mean of team B is 12.83.
Q2. I will use team B's results to claim their shoes are larger because the table of team A stops at 16, however team B's top shoe size is 18, therefore team B has the largest shoe size.
Q3. Both teams have the same average shoe size because the results are only 1 size away from each other most times.
(sorry about Q3 I'm not entirely sure about that one.)
Answer:
b is 23.7
a is 17.6
d is 9m8
Step-by-step explanation:
these are based on my calculations
hope i helped :)
pls solve both questions for brainliest :)
Answer:
b n=5
c. n=4
Step-by-step explanation:
Solve for X. Show your work.
Answer:
x=9
Step-by-step explanation:
since the location of 4x+2 and 7x-25 is across from each other that means that they are equal to each other so you have to set them equal to each other by doing 4x+2=7x-25 then you add like terms you add 25 and 2 together which gives you 27 and the equation will look like 4x+27=7x and then you subtract 4x from 7x which gives you 3x and u get the equation 27=3x now you divide 27 by 3 and get 9 so the equation will be x=9
please help Thank you To anyone that helps
Lesson name: I write/solve systems of linear equations word problems
Problem: Tickets for the school play sell for $3 for a student and $5 for an adult. one night, 595 people bought tickets for a total sale of $1951. how many adults and how many student tickets were sold?
Let S=#of student tickets
Let A=#of adult tickets
Equation= 3s+5a=1951
Answer:
Long division calculator with decimals shows the work step by step. Solve long division with decimal numbers. Calculate the quotient showing long division ...
Step-by-step explanation:
Long division calculator with decimals shows the work step by step. Solve long division with decimal numbers. Calculate the quotient showing long division ...
What is the difference between a copay and coinsurance?
Answer:
A deductible is the amount you pay for a service before the plan shares the cost of the service with you. A copay is a set amount you pay for the service. Coinsurance is when you pay a percentage of the cost for an item or service.
Nicky spent $43.50 to buy 5 pairs of gloves and 5 pairs of socks. If a pair of gloves cost $3.50, what was the price of a pair of socks
Answer:
its $5.20
Step-by-step explanation:
Two groups of hikers take two different routes from Camp A to Camp B. The first group leaves Camp A at 9:00 AM and takes a route that is 30 miles longer than the second group's route.
The second group leaves Camp A at 1:00 PM. Their hiking speed is 2 mph slower than the first group's speed.
Both groups reach Camp B at 4:00 PM. How fast does each group hike?
Answer:
6 and 4 because its correct 100%
Step-by-step explanation:
Fill in the missing statement and reason of the proof below.
Given: \overline{AC} \perp \overline{BD}
AC
⊥
BD
and \angle ABD \cong \angle CBD.∠ABD≅∠CBD.
Prove: \triangle ABC△ABC is an isosceles triangle.
Answer:
b
Step-by-step explanation:
it’s b on edge
Simplify (27x^3-64/3x-4)
Answer:
9x² + 12x + 16
Step-by-step explanation:
(27x³ - 64) / (3x - 4)
= (3x - 4)(9x² + 12x + 16) / (3x - 4)
= 9x² + 12x + 16
coach P is deciding which job he would like to take. Job A will pay him time bonus of $10,000 plus $500 per day. Job B will pay him a one time bonus of $17,000 plus $300 per day. How many days would Coach P have to work for the two job offers to pay the same?
Answer:
35 days
500x35=17500
17500+10000=27500
300x35=10500
10500+17000=27500
Simplify 3(-6+8i)-(2-12i)
Answer:
-20+12i
Step-by-step explanation:
(-18+24i)-(2-12i)
-20+24i-12i
-20+12i
i = -1.666 or -1 and 2/3
Answer:
-20+11i
Step-by-step explanation:
3(-6+8i)-1 (2-12i)
-18+24i -2-13i
-20+11i
4 (-3x+ 6)=4 (-3x) + 4 (6)
Answer:
I think its 0= 0
Step-by-step explanation:
Item 12
SA−→ bisects ∠RST and m∠RST=54.2∘. Find m∠RSA and m∠AST.
Answer:
m∠RSA is 27.1° and m∠AST is 27.1°
Step-by-step explanation:
If a ray bisects an angle, then it divides it into two equal angles in measures and the measure of each one is half the measure of this angle
In the given question
∵ Ray SA bisects ∠RST
→ That means it divides it into two angles RSA and AST
∴ m∠RSA = m∠AST = [tex]\frac{1}{2}[/tex] m∠RST
∵ m∠RST = 54.2°
→ Multiply its measure by to find the measures its parts
∴ m∠RSA = [tex]\frac{1}{2}[/tex] × 54.2°
∴ m∠RSA = 27.1°
∴ m∠AST = [tex]\frac{1}{2}[/tex] × 54.2°
∴ m∠AST = 27.1°
Suppose A,B,C and D are different points on the same line. How many segments have endpoints at these points?
The number of line segments that can be formed on the same line is A = 6
What are Combinations?The number of ways of selecting r objects from n unlike objects is given by combinations
ⁿCₓ = n! / ( ( n - x )! x! )
where
n = total number of objects
x = number of choosing objects from the set
Given data ,
If A, B, C, and D are different points on the same line, then the number of line segments with endpoints at these points can be calculated by counting the number of ways to choose 2 points from the 4 points.
The number of ways to choose 2 points from 4 points is given by the binomial coefficient 4 choose 2, which is:
So , the combination is ⁴C₂
4 choose 2 = ⁴C₂ = (4!)/(2!(4-2)!) = (4 x 3)/(2 x 1) = 6
Hence , there are 6 line segments with endpoints at A, B, C, and D.
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Q. Mary lost 30 pounds. Before her diet she weighed 180 pounds. What is the
percent of change?
Answer:
16.67%
Step-by-step explanation:
A fraction consists of two numbers and a fraction bar:
30/180
The number above the bar is the numerator: 30
The number below the bar is the denominator: 180
Divide the numerator by the denominator to get fraction's value:
Val = 30 ÷ 180
30/180=16.666666667
16.666666667= 16.67%
Answer:
16.67
Step-by-step explanation:
PLEASE HELPPPPPPPPPPPPP
Answer:
sure.. 16pi
Step-by-step explanation:
use the equation
[tex]a = \pi \: {r}^{2} [/tex]
[tex]radius = diameter \div 2[/tex]
r = 8÷2 = 4 ft
[tex]a = \pi \times {4 }^{2} [/tex]
[tex]a = 16 \: \pi[/tex]
I need help on this question
Answer:
[tex]-\frac{21}{2} < x < -5[/tex]
Solve the inequality
[tex]-3 < 2x+18 < 8[/tex]
Separate compound inequalities into system of inequalities
[tex]\left \{ {{2x+18 > -3} \atop {2x+18 < 8}} \right.\\ 2x+18 > -3\ and[/tex] [tex]2x-18 < 8[/tex]
Rearrange variables to the left side of the equation
[tex]2x > -3-18[/tex] [tex]2x < 8-18[/tex]
Calculate the sum or difference
[tex]2x > -21[/tex] [tex]2x < -10[/tex]
Divide both sides of the inequality by the coefficient of variable
[tex]x > -\frac{21}{2}[/tex] [tex]x < -\frac{10}{2}[/tex]
Cross out the common factor
[tex]x < -5[/tex]
[tex]x > -\frac{21}{2}\ and\ x < -5[/tex]
Find the intersection
[tex]-\frac{21}{2} < x < -5[/tex]
I hope this helps you
:)
find the slope of the line that passes through the points (1, -4) and (3, -1)
A. 5/4
B. 2/3
C. -3/2
D. 4/5
E. 3/2
Answer:
e
Step-by-step explanation:
1,-4
3,-1
-1-(-4) = 3
3-1 is 2
slope is 3/2
What value of x makes this equation true?
2x = 4x – 10
Answer:
5
Step-by-step explanation:
2x = 4x - 10
4x - 2x = 10
2x = 10
x = 10/2
X = 5
2(5) = 4(5) - 10
10 = 20-10
10=10
Answer:
x = 5
Step-by-step explanation:
put x on one side (subtract the x on the left from both sides)
-2x = -10
divide the extra number with the x from both sides
x = 5
hope this helps!
have a wonderful day :)
The function f(x) is shown on the provided graph.
Graph the result of the following transformation on f(x). F(x)+6
Answer:
Step-by-step explanation:
the answer is in the attachment below the graph.
What is that decimal value of 4/11
Answer:
0.3636
Step-by-step explanation:
Can sombody please help me solve this: x + 14 = 7x + 32 – 3x
x+14 = 7x+32-3x
x+14 = 4x+32
-x -x
14 = 3x+32
-32 -32
-18 = 3x
/3 /3
-6 = x
x = -6
Answer:
x=-6
Step-by-step explanation:
x+14=7x+32-3x
x+14=7x-3x+32 group like terms
x+14=4x+32 add similar element
x+14-14=4x+32-14 subtract 14 from both sides
x=4x+18 simplify
x-4x=4x+18-4x subtract 4 from both sides
-3x=18
then divide both sides by 3
and then simplify
then u get x=-6
Which is a factor of 6x2 x − 7? x 1 2x 1 6x 7 3x 7
The factor of the polynomial 6x² + x − 7 using factorization is (x − 1) and (6x + 7). Then the correct option is C.
What is a factorization?It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.
The polynomial is given as 6x² + x − 7
On factorization, we have
6x² + x − 7
6x² + 7x − 6x − 7
x (6x + 7) −1 (6x + 7)
(x − 1)(6x + 7)
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