If the height is 4 feet and a base radius is 1 foot of the cylinder. Then the surface area of the cylinder will be 25.13 square feet,
What is the surface area of a right circular cylinder?Let r be the radius and h be the height of the cylinder.
Then the surface area of the cylinder will be
SA = 2πrh square units
The height is 4 feet and a base radius is 1 foot of the cylinder.
Then the surface area of the cylinder will be
SA = 2 × π × 1 × 4
SA = 8 × π
SA = 25.13 square feet
More about the surface area of the cylinder link is given below.
https://brainly.com/question/22074027
#SPJ1
Sin θ = ____ csc θ = ____ cos θ = ____ sec θ = ____ tan θ = ____ cot θ = ____ Equation of the Circle: _ the unit circle (r = 1), find the value of the six trig ratios:
Answer:
a. Sin θ = y/r
b. csc θ = r/y
c. cos θ = x/r
d. sec θ = r/x
e. tan θ = y/x
f. cot θ = x/y
g. x² + y² = 1
Step-by-step explanation:
Where (x, y) are the x and y coordinates of the position with radius r and angle θ measured from the positive x axis. y is the opposite side to the angle θ and x is the adjacent side to the angle θ and r is the hypotenuse side of the right-angled triangle formed by x, y and r. Also, x² + y² = r²
a. Sin θ = opposite/hypotenuse = y/r
b. csc θ = hyotenuse/opposite = 1/Sin θ = r/y
c. cos θ = adjacent/hypotenuse = x/r
d. sec θ = hypotenuse/adjacent = 1/cos θ = r/x
e. tan θ = opposite/adjacent = y/x
f. cot θ = adjacent/opposite = 1/tan θ = x/y
g. Equation of the Circle: _ the unit circle (r = 1),
Since x² + y² = r² ,for a unit circle, r = 1. So,
x² + y² = 1²
x² + y² = 1
Patrick can make 185 tacos in 2 hours. How many tacos can he make in one hour?
Answer:
92.5
Step-by-step explanation:
In a two-digit number, the tens' digit is 1 less than the units' digit. If the digits are
interchanged, the sum of the number obtained and the original number is 143. Find
the number.
Answer:
67
Step-by-step explanation:
Number: AB
A = B-1
BA + AB = 143
10*B + A + 10*A + B = 143
11A + 11B = 143
A + B = 13
(B-1) + B = 13
2B = 14
B = 7
A = 6
The number is 67
check: 6 = 7-1 and 67 + 76 = 143
Mike is catering a party. He plans on having 4 trays of 5 appetizers each on the buffet at the beginning of the party and will rotate in new trays as those become empty. To ensure that he does not run out of appetizers during the party, he is going to make 2 appetizers per person in addition to the initial number put out on the buffet. Which of the following represents A, the amount of appetizers Mike needs to make, in terms of p, the amount of people attending the party?
Answer:
A = 20 + 2p
Step-by-step explanation:
100 pts
Question 6
A grid shows the positions of a subway stop and your house. The subway stop is located at (-2,8)
and your house is located at (-8,0). What is the distance, to the nearest unit, between your house
and the subway stop?
O 15
010
07
0 20
Next >
< Previous
Russell drove his Land Rover 500 km before he needed to refill his tank with 70 L of petrol. Calculate the number of liters Russell used per 100 km.
The ratio of 500 km to 100 km is = --------------
Answer:
7.142857142857143
Step-by-step explanation:
500/70*10=answer above.
ratio of 500 km to 100 km is 5 : 1
determine the missing side lengths
Answer:
Given that is a 45-45 triangle, the hypotenuse should be x[tex]\sqrt{2}[/tex], so in this case. The hypotenuse should be 3[tex]\sqrt{2}[/tex], and the other side lengths 3. I see no other way of it going other than that one; I hope I helped at least a bit!
Step-by-step explanation:
Answer:
base =3in and hypotenuse =3√2
Step-by-step explanation:
relationship between perpendicular and hypotenuse is given by sin angle
sin 45=p/h
sin45=3in/h
h=3in/sin45=3√2 inch
relationship between perpendicular and base is given by tan angle
tan45=P/b
b=3in/tan45=3in
Evaluate 1/2(4^3-6*3^2)
The diameter of a circle is 18 m. Find its circumference in terms of \piπ.
Answer:
18π
Step-by-step explanation:
Shellys square garden has an area of 81f ft^2 what is the length of the side PLS HELPPPP
Answer:
9 ft
Step-by-step explanation:
Hope this helps!
Have a great day!
A bathtub is draining at a constant rate. After 2 minutes, it holds 35 gallons of water. Four minutes later, it holds 15 gallons of water. Write an equation that represents the number y of gallons of water in the tub after x minutes.
Answer:
Step-by-step explanation:
The slope-intercept formula is:
y = m x + b,
or: y = b - m x, since the rate is negative.
For the 1st formula we have: y = 30 and x = 2
For the 2nd formula: y = 12 and x = 5 ( because: 5 = 2 + 3, or : 3 minutes later, which can be confusing )
30 = b - 2 m
12 = b - 5 m
--------------------
b = 30 + 2 m
12 = 30 + 2 m - 5 m
3 m = 18
m = 18 : 3 = 6
b = 30 + 2 * 6 = 30 + 12 = 42
Answer:
y = 42 - 6 x
A blueberry muffin recipe calls for 3/4 cup of
sugar. How many cups of sugar would be
needed to make the muffin recipe 3 times?
Answer:
9/4 or 2 1/4 cups of sugar.
Step-by-step explanation:
To find the answer we multiply 3/4 by 3. Because the bottom stays the same, we wont multiply it. Since 3 x 3 = 9, it will be 9/4. Therefore, 9/4 or 2 1/4 is your answer.
Solve for X! 30 points! Please help!
Write the number seventy-nine million seven thousand 
Answer:
79, 007, 000
Step-by-step explanation:
79, 007, 000
Hope that helps!
Answer:
seventy-nine million seven thousand
Step-by-step explanation:
#WhenYouSideStepTheProblem
Geometry ,help ya girl outt
Find the distance between the points (-3,-2) and (-1, -2).
2
V6
4
Answer:
2 units. Hope this helps!
If p varies jointly as m and r, and p = 180, when p = 5 and r = 8, then find m when p = 324 and
r = 6.
Answer:
m = 12Step-by-step explanation:
If p varies jointly as m and r, then;
p = kmr
k is the proportionality constant
Given that p = 180, m = 5 and r = 8
180 = k(5)(8)
180 = 40k
k = 180/40
k = 4.5
To get m when p = 324 and r = 6
324 = 4.5(m)(6)
324 = 27m
m = 324/27
m = 12
Hence the value of m is 12
Solve for y.
4(y+4)=48
A. 8
B. 11
C. 13
D. 16
Answer:
A
Step-by-step explanation:
4(y+4)=48
4y +16 =48
48-16=4y
32=4y
y=32/4
y=8
Answer:
A. 8
Step-by-step explanation:
4(y+4)=48
(y+4)=48/4
y+4=12
y=12-4
y=8
HOPE THIS HELPS
Choose the best description for the real number 34 over 3 .
Irrational, because it is a fraction
Irrational, because it is a repeating decimal
Rational, because it is a fraction
Rational, because it is a terminating decimal
Answer:
C. Rational, because it is a fractionStep-by-step explanation:
34/3 is a fraction.
Any number that can be expressed as a fraction is a rational number.
Correct choice is C
6. Peter is standing next to a flagpole and wants to
know how tall it is. Peter knows that he is 5'6" tall,
and that his shadow is 3'3" long. If the flagpole's
shadow is 9'9" long, how tall is the flagpole?
Answer:
11'12
Step-by-step explanation:
so peter is 5'6, and his shadow is 3'3, which means that its subtracted by 2'3, therfore the flagpole is 11'12, hope this helps :)
The product of two consecutive positive integers is 26 more than ten times the largest of the two numbers.
1. Write an equation to represent the situation above.
Answer:
x(x+1)=10(x+1)+26
Step-by-step explanation:
Let the two consecutive positive integers be x and x+1.
The product of these two integers is x(x+1).
The largest of the two numbers is x+1.
By given, x(x+1)=10(x+1)+26.
50 POINTS!!! In rectangle ABCD, AB = 6 cm, BC = 8 cm, and DE = DF. The area of triangle DEF is one-fourth the area of rectangle ABCD. What is the length in centimeters of segment EF? Express your answer in simplest radical form.
Answer:
[tex]EF=4\sqrt{3}[/tex]
Step-by-step explanation:
In rectangle ABCD, AB = 6, BC = 8, and DE = DF.
ΔDEF is one-fourth the area of rectangle ABCD.
We want to determine the length of EF.
First, we can find the area of the rectangle. Since the length AB and width BC measures 6 by 8, the area of the rectangle is:
[tex]A_{\text{rect}}=8(6)=48\text{ cm}^2[/tex]
The area of the triangle is 1/4 of this. Therefore:
[tex]\displaystyle A_{\text{tri}}=\frac{1}{4}(48)=12\text{ cm}^2[/tex]
The area of a triangle is half of its base times its height. The base and height of the triangle is DE and DF. Therefore:
[tex]\displaystyle 12=\frac{1}{2}(DE)(DF)[/tex]
Since DE = DF:
[tex]24=DF^2[/tex]
Thus:
[tex]DF=\sqrt{24}=\sqrt{4\cdot 6}=2\sqrt{6}=DE[/tex]
Since ABCD is a rectangle, ∠D is a right angle. Then by the Pythagorean Theorem:
[tex](DE)^2+(DF)^2=(EF)^2[/tex]
Therefore:
[tex](2\sqrt6)^2+(2\sqrt6)^2=EF^2[/tex]
Square:
[tex]24+24=EF^2[/tex]
Add:
[tex]EF^2=48[/tex]
And finally, we can take the square root of both sides:
[tex]EF=\sqrt{48}=\sqrt{16\cdot 3}=4\sqrt{3}[/tex]
Answer:
4\sqrt3
Step-by-step explanation:
we know that the area is 6 * 8 = 48 cm^2. because triangle DEF is one fourth of that, triangle DEF's area would be 12.
to find the hypotenuse of triangle DEF, we would first need to find the bases (which have equal lengths). 1/2 * b * b = 12, so b^2 = 24. using the pythagorean theorem, we have \sqrt24 + \sqrt24 = h^2 which means h is the sqrt of 48. simplified, we have 4\sqrt3.
Simplify the question !! :))
Answer:
We combine like terms to get [tex]10x^{2} + 3x - 6[/tex]
Hope this helps!
What is the product of 5(5x ^2+ 2x - 4)?
A 25x^10 + 10x^5 – 20
B 25x^2 + 10x - 20
c 10x^2 + 7x - 9
Answer:
-540
Step-by-step explanation:
5(25x+ 2x - 4)
5(27x - 4)
-540
Determine the slope of the line that passes through the points
(4, 4) and (5,0).
Answer:
B) -1/2
Step-by-step explanation:
Slope is change in y divided by change in x.
So, 6-4/-4-0 = 2/-4 so reduces to -1/2
Answer:
Slope = -4
Step-by-step explanation:
Slope = change in y ÷ Change in x
[tex]= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\= \frac{0-4}{5-4}\\\\= \frac{-4}{1}\\\\= - 4[/tex]
(PLEASE HELP) Triangle LMN is similar to triangle OPR. Find the measure of side RO. Round your answer to the nearest tenth if necessary. Figures are not drawn to scale.
Answer:
RO = 107.36Step-by-step explanation:
ΔLMN = ΔOPR ----- (given)
so,-----------------------NM / NL = RP / RO
19 / 34 = 60 / RO
RO = 60 × 34 ÷ 19
RO = 107.36
Answer:
75
Step-by-step explanation:
I'm not sure l am strugging with this topic too
Write the equation of each line in slope-intercept form
Answer:
1) y=4/5x-8
3) y=7/5x -2
Step-by-step explanation:
Slope- intercept form is y=mx+b (y = (slope)x+ (y-intercept))
I hope this helps :)
helpppppp this hard for me :/
Jasmine always carries cash. Her friends think she should get a credit card. Which reasons show the benefits of having a credit card?
******Select all that apply.******
helps save money
safer
more convenient
free to use
rewards programs
Answer:
A and b
Step-by-step explanation:
it could also be c but it's definitely a and b
Answer:
Might be:
Safer
Rewards programs
More convenient
Online shopping
Step-by-step explanation:
HELP ME PLEASE!! Thank you!!
Answer:
Step-by-step explanation:
so by "exact" they mean leave in the [tex]\sqrt{x}[/tex] parts.... sooo
they tell us the Hypotenuse ( Hyp) and one angle and want that side Opposite ( Opp) of the angle... sooo use the mnemonic
SOH CAH TOA
to help remember how the sin , cos, and tan functions fit on a triangle
there problems b/c easy A's when you get this. :P so learn it, know it, live it :D
Sin = Opp / Hyp
Cos = Adj / Hyp
Tan = Opp / Adj
now look at which one of the above formulas have the things we know and want to find
Sin looks like a good choice b/c it's got Opp, which we want to find, and Hyp which we know and also an angle which we can plug into the function
Sin(45) = Opp / 6
see how I got that?
[tex]\sqrt{2}[/tex] / 2 = Opp / 6
6 ( [tex]\sqrt{2}[/tex] / 2 ) = Opp
3[tex]\sqrt{2}[/tex] = Opp
the problem says leave it exact.. so don't try to reduce [tex]\sqrt{2}[/tex] just leave it
there is your answer
X = 3[tex]\sqrt{2}[/tex]