Answer:
A = 240π cm²
Step-by-step explanation:
Given that,
Height of a cylinder, h = 7 cm
Volume of the cylinder, V = 448π cm³
We need to find the total surface area of the cylinder.
The formula for the volume of the cylinder is given by :
[tex]V=\pi r^2 h\\\\r=\sqrt{\dfrac{V\pi }{\pi h}} \\\\r=\sqrt{\dfrac{448\pi }{\pi \times 7}} \\\\r=8\ cm[/tex]
The formula for the total surface area of the cylinder is given by :
[tex]A=2\pi r(r+h)\\\\A=2\pi \times 8\times (8+7)\\\\A=240\pi \ cm^2[/tex]
So, the total surface area of the cylinder is 240π cm².
Tyler says he invented a number puzzle.
He asks Clare to pick a number, and then asks her to do the following:
Triple the number
Subtract 7
Double the result
Subtract 22
Divide by 6
Clare says her final answer is -3. Tyler says her original number she thought must have been 3.
How did Tyler know that? Explain or show your reasoning.
-7 x - 2y = -13
x - 2y = 11
Please help me with this question!!
La Vasha noticed that she caught six pigeons for every turtle when she played Pocket Monster
Walk. If LaVasha caught 102 pigeons, how many turtles did she catch?
Answer:
She has 17 turtles
Step-by-step explanation:
You have to divide 102 by 6 which equals 17.
simplify 0.2×0.03055
Answer:
[tex]0.2 = \frac{2}{10} = \frac{2}{10 ^{1} } = 2 \times {10}^{ - 1} \\ 0.03055 = \frac{3055}{100000} = \frac{3055}{ {10}^{5} } = 3055 \times {10}^{ - 5} \\ 0.2 \times 0.03055 = 2 \times {10}^{ - 1} \times 3055 \times {10}^{ - 5} \\ = 2 \times 3055 \times {10}^{ - 1 + ( - 5)} \\ = 2 \times 3055 \times 10^{ - 1 - 5} \\ = 2 \times 3055 \times {10}^{ - 6} \\ = 6110 \times {10}^{ - 6} \\ = \frac{6110}{ {10}^{6} } \\ = \frac{6110}{1000000} \\ = 0.006110[/tex]
Can someone explain how I should solve this?
The perimeter of parallelogram ABCD is 92 cm. AD is 1 cm more than twice AB. Find the lengths of all four sides of ABCD
(1 point)
Answer:
Step-by-step explanation:
The perimeter of a parallelogram ABCD IS 92cm. AD is 1cm more than twice AB. Find the lengths of all four sides of ABCD
~~~~~~~~~~~~~~~~~~~~~~~~~~~
Let x = |AD| (the length of the side AD).
Let y = |AB| (the length of the adjacent side AB).
Then
2x + 2y = 92 (the perimeter)
x - 2y = 1 ("AD is 1cm more than twice AB.")
Add the two equations (both sides) and get
3x = 92 + 1 ---> 3x = 93 ---> x = 93/3---> x = 31.
Then from the second equation 2y = x - 1 = 30-1 = 30.
Hence, y = 30/2 = 15.
Answer. The sides of the parallelogram are 31, 15, 31 and 15 cm long.
Thelma ordered 2 tacos and 1 quesadilla and paid $5.51. Louise ordered 2 quesadillas and 1 taco and paid 7.09 find the cost for 1 of each of these items
Answer:
A single taco costs $1.31
A single quesadilla costs $2.89
Step-by-step explanation:
Let's suppose that:
T is the price of a single taco.
Q is the price of a single quesadilla.
Thelma ordered 2 tacos and 1 quesadilla, and she paid $5.51, this can be written as:
2*T + 1*Q = $5.51
And we know that Louise ordered 2 quesadillas and 1 taco, and she paid $7.09, this can be written as:
1*T + 2*Q = $7.09
Then we have a system of equations:
2*T + Q = $5.51
T + 2*Q = $7.09
To solve this, we first need to isolate one of the variables, let's isolate T in the second equation:
T = $7.09 - 2*Q
Now we can replace this in the first equation:
2*($7.09 - 2*Q) + Q = $5.51
Now we can solve this for Q.
2*$7.09 - 2*(2*Q) + Q = $5.51
$14.18 - 4*Q + Q = $5.51
$14.18 - 3*Q = $5.51
$14.18 - $5.51 = 3*Q
$8.67 = 3*Q
($8.67)/3 = Q
$2.89 = Q
This means that the price of a single quesadilla is $2.89
Now we can use the equation:
T + 2*Q = $7.09
T + 2*($2.89) = $7.09
T + $5.78 = $7.09
T = $7.09 - $5.78 = $1.31
The price of a single taco is $1.31
Given:
RS ⊥ ST
RS ⊥ SQ
∠STR = ∠SQR
Prove:
△RST ≅ △RSQ
Answer:
1.) RS ⊥ ST, RS ⊥ SQ, ∠STR ≅ ∠SQR | Given
2.) RS≅RS | Reflexive Property
3.) △RST ≅ △RSQ | AAS Triangle Congruence Property
Step-by-step explanation:
The required fill-in-the-blank below as:
1.) RS ⊥ ST, RS ⊥ SQ, ∠STR ≅ ∠SQR | Given
2.) RS≅RS | Reflexive Property
3.) △RST ≅ △RSQ | AAS Triangle Congruence Property
What are congruent triangles?Two triangles are said to be congruent if their corresponding sides and angles are equal.
The given in question as:
RS ⊥ ST
RS ⊥ SQ
∠STR = ∠SQR
To prove:
△RST ≅ △RSQ
1.) RS ⊥ ST, RS ⊥ SQ, ∠STR ≅ ∠SQR | Given
2.) RS≅RS | Reflexive Property
According to AAS, two triangles are congruent if the two sides and the included angle of one triangle are equal to the corresponding sides and the included angle of the other triangle.
3.) △RST ≅ △RSQ | AAS Triangle Congruence Property
Hence, △RST ≅ △RSQ
Thus, the required fill-in-the-blank above is in the solution.
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NEED ASAP PLEASE HELP
Answer:
Step-by-step explanation:
Im sorry but looks hard
Please help me ilysm if u do ILL ALSO GIVE U BRAINLIEST
simplify sqrt n/18 !!!
Answer:
are u really done this one or not I help U okay salamat
Pls help and show workings
It due ASAP
Answer:
its SAS
Step-by-step explanation:
As S stand for side A for angle
so side angle side gives SAS
Answer:
Side Angle Side Postulate. The Side Angle Side postulate (often abbreviated as SAS) states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent.
Step-by-step explanation: Perhaps the easiest of the three postulates, Side Side Side Postulate (SSS) says triangles are congruent if three sides of one triangle are congruent to the corresponding sides of the other triangle. This is the only postulate that does not deal with angles.
Lee filled several jars with 1/4 cup of water in each jar .He used a total of 8 cups of water. Let j represent the number of jars that Lee filled. Write and Solve an equation to find out how many jars lee filled.
Answer: 32
Step-by-step explanation:
8x4 = 8 / 0.25
Which has the same product as 2/3 x 8
A. 5/6 x 7
B. 1/4 x 13
C. 3/8 x 2
D. 1/3 x 16
Answer: D. 1/3 x 16
Step-by-step explanation:
Find the zeros of the function.
Enter the solutions from least to greatest.
g (x)=(-5x -1)(2x +8)
lesser x =
greater x =
Answer:
[tex]x=-4,\:x=-\frac{1}{5}[/tex]
Step-by-step explanation:
The zeroes of the function [tex]g(x)=(-5x-1)(2x+8)[/tex] can be found by setting [tex]g(x)[/tex] to [tex]0[/tex], then solving for [tex]x[/tex]:
[tex](-5x-1)(2x+8)=0[/tex]
When either term is [tex]0[/tex], the equation is true. Therefore we have two cases:
[tex]\begin{cases}-5x-1=0,\: -5x=1, \:\fbox{$x=-\frac{1}{5}$}\\2x+8=0,\:2x=-8,\:\fbox{$x=-4$}\\\end{cases}[/tex]
Form the given function lesser x value is -4 and the greater x value is -1/5.
What are the zeros of a function?The zeros of a function are defined as the values of the variable of the function such that the function equals 0. Graphically, the zeros of a function are the points on the x-axis where the graph cuts the x-axis. In other words, we can say that the zeros of a function are the x-intercepts of its graph. The number of zeros of a polynomial function is equal to the degree of the polynomial.
The given function is g(x)=(-5x -1)(2x +8)
Now, (-5x -1)(2x +8)=0
(-5x -1)=0 and (2x +8)=0
-5x=1 and 2x=-8
x=-1/5 and x=-4
Therefore, form the given function lesser x value is -4 and the greater x value is -1/5.
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find the x for these
Answer:
i hope these are helpful
Do this for a lot of points and brainly!!! Asap
Answer:
(-4,1)
Step-by-step explanation:
you can choose any point on the line
intro to inequalities 16>f, if f=17
Answer:
Is No Solution
Step-by-step explanation:
Jared painted a mug 3 16 red and 5 16 blue. What part of the mug is not red or blue? of the mug is not red or blue.Jared painted a mug 3 16 red and 5 16 blue. What part of the mug is not red or blue? of the mug is not red or blue.
Answer:
8 16
Step-by-step explanation:
3/16+5+16=8/16
16/16(the whole mug)-8/16=8/16
Answer:
8 16
Step-by-step explvanation:
Tile costs $28 per square meter. How much will it cost to cover the countertop with the new tile? It will cost $ to cover the countertop with new tile.
Answer:
A. 4.4652 square meters
B. $125.03
Step-by-step explanation:
A countertop is 16 feet long and 3 feet wide.
A. Calculation for What is the area of the countertop in square meters
First step is to calculate to convert 16 feet long length to meters and 3 feet wide length to meters
Since 1 meter=3.28 Feet
Hence,
Meters=16 feet long /3.28 Feet
Meters=4.88 meters
Meters=3 feet wide/3.28 Feet
Meters=0.915 Meters
Now let calculate the area of the countertop in square meters
Area of the countertop=4.88 meters*0.915 Meters
Area of the countertop=4.4652 square meters
B. Calculation for How much will it cost to cover the countertop with new tile
Total cost=$28*4.4652 square meters
Total cost=$125.03
Therefore How much will it cost to cover the countertop with new tile is $125.03
Ill mark you brainliest And you'll get 20 points!
Answer:
F. 3k - 11 =-34
Step-by-step explanation:
3(-15) -11 = -34
-45 - -11 =-34
- + - = a positive
-45 + 11 = -34
Which of the equations below has a slope of of 1/5 ?
Very confused. Will give 40pts.
Answer:
Y = 10.25 or 10.247
Step-by-step explanation:
Alright So use the Formula A^2 + B^2 = C^2
You have one leg and the hypotenuse so first you are going to find 19 ^2 = 361.
Next, you need to find 16^2 = 256.
Last but not least, you subtract the leg from the hypotenuse, which equals 361-256=105
Finally, you take 105 and find its square root.
And depending on how far you round it down, your answer would be 10.25(that is in tenths), or 10.247(which is rounded to hundredths)
Hope this helps!
there are only r red counters and g green counters in a bag. a counter is taken at random from the bag. the probability that the counter is green is 4/9 the counter is put back in the bag. 4 more red counters and 2 more green counters are put in the bag. a counter is taken from the bag. the probability that the counter is green is 10/23 find the number of red counters and the number of green counters that were in the bag originally. your final line must say, ... red and ... green counters.
The number of red counters and the number of green counters that were in the bag originally is: 10 red and 8 green counters.
How to calculate the probability of an event?Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.
Then, suppose we want to find the probability of an event E.
Then, its probability is given as
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)}[/tex]
where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.
For this case, let we had:
R numbers of red counters, and G number of green counters originally.
Then, total counters in the bag originally = R +G
One counter out of R+G counters can be chosen in R+G ways. But one green counter out of R+G counters can be chosen in G ways.
Thus, probability of taking green counter out in one random picking is:
[tex]\dfrac{G}{R + G}[/tex]
It is given that this probability is 4/9. Therefore, we get:
[tex]\dfrac{G}{R+G} = \dfrac{4}{9}\\\\\\9G = 4R + 4G\\\\5G = 4R[/tex](first equation)
When 4 more red counters and 2 more green counters were added, then:
One counter out of R+G+6 counters can be chosen in R+G+6 ways. But one green counter out of R+G+6 counters can be chosen in G+2 ways (since there are G+2 green counters in the considered bag) ways.
Thus, probability of taking green counter out in one random picking is:
[tex]\dfrac{G+2}{R + G+6}[/tex]
It is given that this probability is 10/23. Therefore, we get:
[tex]\dfrac{G+2}{R+G+6} = \dfrac{10}{23}\\\\\\23G + 46 = 10R + 10G + 60\\\\13G = 10R + 14[/tex](second equation)
Thus, we got a system of two linear equations as:
[tex]5G = 4R\\13G = 10R + 14[/tex]
From first equation, getting the value of G in terms of R,
[tex]G = \dfrac{4R}{5}\\[/tex]
Now, substituting this with G in the second equation, we get:
[tex]\\13\left(\dfrac{4R}{5} \right) =10R + 20\\\\52R = 50R + 20\\2R = 20\\R = 10[/tex]
From this value of R, and the value of G in terms of R, we get:
[tex]G = \dfrac{4R}{5}\\\\ = \dfrac{4 \times 10}{5} = 8[/tex]
Thus, R = 10 and G = 8.
Thus, the number of red counters and the number of green counters that were in the bag originally is: 10 red and 8 green counters.
Learn more about probability here:
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Algebraically find the vertex of the function f(x) = x2 – 6x + 16.
help please n thank u
i’ll mark brainlist
Answer:
Slope = -1/4
Y-intercept = 50
Step-by-step explanation:
Change in y/ change in x = slope
75/-100 = -1/4
For y, the numbers decrease 25 each time so the change in y is -25.
For x, the numbers increase 100 each time so the change in x would be 100.
The fraction you have left is -25/100
Now, you simplify -25/100 and you get -1/4.
The y-intercept is 50 because x is 0 at the same time in the chart.
Elliot is promoting a concert and needs to print posters to put up aro und the city. He gets information from two companies on printing costs. APlus Printing charges a setup fee of $20 and 10 cents for each poster printed. PrintMore, a competing company, charges $55.00 for setup and five cents per poster. How can Elliot determine which plan will be cheaper?
Step-by-step explanation:
Each of the printing companies have their own advantages. APlus Printing has a lower setup fee and PrintMore has a lower cost for each poster printed. We can find out at what number of posters are the 2 costs the same.
Let x be the number of posters.
We have $20 + $0.1x = $55 + $0.05x.
=> $0.05x = $35
=> x = 700
Hence we can give a conclusion:
If Elliot is printing less than 700 posters, he should use APlus Printing.If Elliot is printing more than 700 posters, he should use PrintMore.If Elliot is printing exactly 700 posters, he should use either company.Liam and Harper are racing on a track. Liam runs 4 miles per hour and gets a 0.25 mile head start. Harper runs 0.5 miles per hour fastet than Lism. If harper and Liam run the same distance, how many hours, x, do they run?
Answer:
30 minutes = 0.5 hour
Step-by-step explanation:
0.5 miles faster than Liam:
4x + 0.25 = 4.5x
0.25 = 4.5x - 4x
0.25 = 0.5x
x = 0.25 / 0.5
x = 0.5 hours
x = 30 minutes
Refer to the diagram shown.
Answer:
60º
Step-by-step explanation: