Answer:
29 and 12
Step-by-step explanation:
x + y = 41
x - y = 17
Adding the two equations:
x + y + x - y = 41+17
2x = 58
x = 58/2
x = 29
Substituting 'x' into the first equation:
29 + y = 41
y = 41-29
y = 12
Feel free to mark it as brainliest :D
Work out the volume of this cylinder? 12m height and 5m radius
Answer:
942m³
Step-by-step explanation:
π×radius²×height
π×5²×12=942.4777961m²
to 3sf it's
942m³
3 significant figures is 3 numbers.
Question :-
What is the volume of a cylinder with a radius of 5 m and a height of 12 m?Answer :-
The volume of a cylinder is 942 m³.[tex] \rule{180pt}{4pt}[/tex]
Diagram :-
[tex]\setlength{\unitlength}{1mm}\begin{picture}(5,5)\thicklines\multiput(-0.5,-1)(26,0){2}{\line(0,1){40}}\multiput(12.5,-1)(0,3.2){13}{\line(0,1){1.6}}\multiput(12.5,-1)(0,40){2}{\multiput(0,0)(2,0){7}{\line(1,0){1}}}\multiput(0,0)(0,40){2}{\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\multiput(18,2)(0,32){2}{\sf{5 \: m}}\put(9,17.5){\sf{12 \: m}}\end{picture}[/tex]
Solution :-
As per provided information in the given question, we have been given that the Radius of a cylinder is 5 meters. The height of a cylinder is 12 meters. We have been asked to find the volume of a cylinder.
To calculate the volume of a cylinder, we will apply the formula below :-
[tex] \bigstar \: \: \: \boxed{ \sf{ \: \: Volume_{(Cylinder)} = \pi r^2 h \: \: }}[/tex]
Substitute the given values into the above formula and solve for Volume :-
[tex]\sf:\implies Volume_{(Cylinder)} = \pi r^2 h[/tex]
[tex]\sf:\implies Volume_{(Cylinder)} = (3.14)(5 \: m)^2(12 \: m)[/tex]
[tex]\sf:\implies Volume_{(Cylinder)} = (3.14)(25 \:m^2)(12 \: m)[/tex]
[tex]\sf:\implies Volume_{(Cylinder)} = (78.5 \:m^2)(12 \:m)[/tex]
[tex]\sf:\implies\bold{Volume_{(Cylinder)} = 942 \: m^3}[/tex]
Therefore :-
The volume of a cylinder is 942 m³.[tex]\\[/tex]
Learn more about the Volume of a Cylinder at https://brainly.com/question/15197979
Have a great day! <33
Please help me please please
7a + b - 12 wich is the coefficient?
Solve for c, giving brainliest. please show your work/explain, i got to the point of square rooting 185, but i don't understand where to go from there if it cannot be simplified. Thanks.
Answer:
13.6 in (mrs clark)
Step-by-step explanation:
a²+b²=c²
16 + 169 = c²
c² = 185
c ≈ 13.6
mr.wilkinson pours 2 cups of blue paint into a jar for each art station. How many jars can he fill with 1 gallon of blue paint
Answer:1 jar = 2 × 8 = 16 ounces. So, number of jars required to fill 1 gallon of blue paint is : Therefore, 8 jars are required to fill 1 gallon of blue paint.
A cake has two layers. Each layer
is a regular hexagonal prism. A slice removes one face of
each prism, as shown.
a. What is the volume of the slice?
b. What is the volume of the remaining cake?
Answer:
Volume of slice is 40 in³
Volume of the remaining cake is 197.014 in³
Step-by-step explanation:
hope this helps!!
brainliest please?
help plsss!!!
For which interval is the function constant?
(2, 6)
(6, ∞)
(−∞, 0)
(0, 2)
9514 1404 393
Answer:
(a) (2, 6)
Step-by-step explanation:
The function is constant where its graph is horizontal. That portion of the graph lies between x=2 and x=6. In interval notation, the function is constant in the interval (2, 6).
Write the quadratic function 5x2 - 40x + 60 in its vertex form by completing the square. Then
identify its turning point.
9514 1404 393
Answer:
5(x -4)² -20turning point = (4, -20)Step-by-step explanation:
It can work well to factor the leading coefficient from the x-terms.
5(x² -8x) +60
Now, add the square of half the x-coefficient inside parentheses, and subtract the same amount outside parentheses.
5(x² -8x +16) +60 -(5)(16)
5(x -4)² -20 . . . . write as a square, simplify the added constant
The vertex form is ...
5(x -4)² -20
It shows you the vertex is (4, -20). This is the turning point.
_____
Vertex form is a(x -h)² +k, where (h, k) is the vertex.
What is the value of f(-3) when f(x)=5(2)
Answer:
a) 5/8
Step-by-step explanation:
f(-3) when f(x)=5(2)^x just replace the x with -3
f(x)=5(2)^x = 5 (2)^-3 we find the 3rd power of 2 first which means multiply 2 with itself 3 times
2×2×2 = 8 but here, it asks us for negative third power of 2 so we turn the 8 upside down :
if 2^3 = 8 then 2^-3 = 1/8 and now we multiply it with 5
5 × 1/8 = 5/8
Jennifer had $300.00 in her bank account she made a withdrawal of $500. what is her balance as an integer?
Compare the unit rates to find which is the better value.
A. 24 cans for $21.36
B. 12 cans for $10.56
C. 20 cans for $17.20
D. 16 cans for $13.60 m
Answer:
The 16 cans for 13.60
Step-by-step explanation:
21.36 ÷ 24 = 0.89
10.56 ÷ 12 = 0.88
17.20 ÷ 20 = 0.86
13.60 ÷ 16 = 0.85
The 16 cans for 13.60 is the best buy, just remember, cost ÷ amount!!
Answer:
i think the awnser wold be 16 cans for 13.60$
Step-by-step explanation:
if i am wrong i am truly sorry!
you can buy 16 cans for 13.60 and if you need more you would be saving a lot of money for 32 cans for 17.20.
What is the solution for this system of equations: y=2x and y=x + 1 *
A.(1,2)
B.(2,1)
C.(5,0)
D.(-1,2)
Answer:
I think the answer to that would be (2,1)
Step-by-step explanation:
Because there are two positive numbers
Subject:Mathematics
Answer:
true sorry if wrong im not the best at this type of math but im average
Step-by-step explanation:
helpppppppppp plzzzzzzz due in 20 min
Answer:
A. [tex]3<\sqrt{15} <4[/tex]
Step-by-step explanation:
First we need to know what [tex]\sqrt{15}[/tex] equals.
It equals around 3.87, which is more than 3 and less than 4.
Answer: It might be "A" i dont know.
Sawyer was last year's PI Day
champion. He is feeling
confident this year with his
chocolate silk ple. One recipe
calls for 16.8 grams of semi
sweet chocolate. Sawyer only
uses premium. Imported Belgian
chocolate, so each gram costs
him $472. How much did he pay
for the chocolate? Round to the
nearest hundredth If
necessary
2/3(x - 6)=6 what is the value of x?
Answer:
15
Step-by-step explanation:
if 2 binders of the same size take up 3 inches on the shelf how much space will be needed for 28 of these binders?
Answer:
84
Step-by-step explanation:
28x3=84
I hope i did that right
please give me Brainliest you dont have to tho
Write the ratio as a fraction in simplest form.
63 : 28
The ratio as a fraction in simplest form is
.
Answer:Thus, 9/4 is the simplified fraction for 63/28 by using the GCD or HCF method. Thus, 9/4 is the simplified fraction for 63/28 by using the prime factorization method. 94 is already in the simplest form. It can be written as 2.25 in decimal form (rounded to 6 decimal places).
The given ratio 63:28 can be expressed as the simplified fraction 9/4.
What is the fraction?A fraction is defined as a numerical representation of a part of a whole that represents a rational number.
The given ratio is following as:
63:28
To express this ratio as a fraction in simplest form, we can use the method of finding the greatest common divisor (GCD) or highest common factor (HCF) between the numerator and denominator.
The GCD/HCF of 63 and 28 is 7.
We can divide both the numerator and denominator by 7 to simplify the fraction:
⇒ (63 ÷ 7) / (28 ÷ 7) = 9/4
Therefore, the ratio 63:28 can be expressed as the simplified fraction 9/4.
Learn more about the fraction here:
brainly.com/question/10354322
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If 20 articles cost ? 90, then the cost of 9 articles is ?
Answer:
40.50
Step-by-step explanation:
1. 90 ÷ 20 = 4.50
2. 4.50 × 9 = 40.50
Ten students each attempted 10 free throws. This list shows how many free throws each student made. 8 5 6 6 4 9 7 6 5 9 What is the median number of free throws made?
Answer:
six 6 is the median number i think
Step-by-step explanation:
can I get help pls :')
Answer:
1.a: 6x = y
1.b: 7 packs
Step-by-step explanation:
1.a: there are 6 cups per can so if you multiply it for each can, you get the cups.
1.b: there are 16 cups per gallon. Packs of 4 cans so in total, there are 24 cups in total. So there are 1.5 gallons per pack. 1.5x6 = 90 so that's no enough. 1.5x7 = 10.5. That's more than enough but she can't split the pack so she needs to buy 7 packs.
Please help me answer this
Answer:
Your answer would have to be Graph A
Step-by-step explanation:
Because it's properly set up
Which equation is this model?
Solve the equation. -3x+2x=8
Answer:
= − 8
Step-by-step explanation:
Combine like terms
Divide both sides of the equation by the same term
Simplify
Find the values of x and y
2 quarts of paint equally into 6 containers how much paint in quarts into each container written as a fraction
Answer:
0.333 or 1/3
Step-by-step explanation:
2/6 = 0.333 = 1/3
Need help with answers
Distribute
(x+4)(x-6)
a) x^2-2x-24
b) x^2-10x+24
c) x^2+10x+24
d) x^2-10x-24
Answer:
A) x² - 2x - 24
Step-by-step explanation:
(x+4)(x-6)
x² - 6x + 4x - 24
x² - 2x - 24
Last question on my assignment need help. Find x.
Answer:
I think it would be 20 hope it helps and good luck
Step-by-step explanation:
Answer:
i think its at 21
Step-by-step explanation:
I NEED HELP ASAP 50 POINTS!!!
Write the polynomial in standard form. Then name the polynomial based on its degree and number of terms. x + 7 – 4x^3
Answer:
Step-by-step explanation:
Standard form: -4x³ + x + 7
Name of the polynomial:
Based on number of terms: 3 terms are there.
Trinomial
Based on degree:
Degree of the polynomial is 3
Cubic polynomial