Answer:
12
Step-by-step explanation:
30÷5
=6
therefore,
2×6
=12
please help fast!! Find the total surface area of the following cylinder:
explanation:total=addition
area=base x height plus the width (area the amount beneath the surface).
equation:3cm both sides 3cm
answer: 3+3= 6cm .
Answer: 36
Step-by-step explanation:
Formula: 2 pi rh + 2 pi r2
2 pi 3 • 3 + 2 pi 9
Leave answers in terms of pi
18 pi + 18 pi = 36 pi
Answer = 36
Patrick can make 185 tacos in 2 hours. How many tacos can he make in one hour?
Answer:
92.5
Step-by-step explanation:
Does this triangle have a hypotenuse about 39 feet long
Answer:
hypotenuse is about 33 ft long
Step-by-step explanation:
a^2+b^2=c^2
a= 30
b=14
30^2+14^2= 1096 =c^2
[tex]\sqrt{1096}[/tex]=c
33.1=c
hypotenuse is about 33 ft long
Answer:
No, the Hypotenuse is 33.11
Step-by-step explanation:
The formula for finding a hypotenuse is:
[tex]\sqrt{x^2+y^2}[/tex]
x=30 and y=14 here
[tex]x^2=900[/tex]
[tex]y^2=196[/tex]
[tex]x^2+y^2= 1,096[/tex]
[tex]\sqrt{1,096} = 33.11[/tex]
So it would be about 33, not 39
The movie you chose is 2 hours long. After only 1 /2 of an hour, you look and "Oh no!" you have already eaten a third of your popcorn! If you continue eating popcorn at this speed, do you think you will have enough for the rest of the movie? Include a mathematical explanation to support your thinking.
Answer:
no
at every 30 minutes, a third of the popcorn is consumed.
After an hour, 1/3 + 1/3 = 2/3 of popcorn would be consumed.
At one hour 30 minutes, 2/3 + 1/3 = 3/3 or 1 or all of the popcorn would have been consumed
Step-by-step explanation:
The rate at which popcorn is consumed is 1/3 in 30 minutes
so, in 1 and a half hours, all the popcorn would be finished
1/3 + 1/3 + 1/3 = 1
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 :)
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.
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
Solve for the value of y.
Solved for the value of y and found that y = 5.
What is the Pythagorean theorem?In the Pythagorean theorem, the sum of the squares of the sides of a right-angled triangle is equal to the square of the longest side i.e, the hypotenuse of the triangle.
z² = x² + y²
The given triangle is a right-angled triangle. This means that we can use the Pythagorean theorem.
∴ y² + 12² = 13²
⇒ y² + 144 = 169
⇒ y² = 169-144
⇒ y² = 25
⇒ y = 5
Therefore, we have solved for the value of y and found that y = 5. The correct answer is option C.
Learn more about the Pythagorean theorem here-https://brainly.com/question/343682
#SPJ2
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 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]
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!
Melanie invested $63,000 in an account paying an interest rate of 7 1/8% compounded
quarterly. Lillian invested $63,000 in an account paying an interest rate of 7 3/8%
compounded continuously. After 15 years, how much more money would Lillian have
in her account than Melanie, to the nearest dollar?
Answer: $8727- thsi should be the correct answer
Evaluate the expression (13 − 3)2 ÷ 50.
The value of the expression is
Answer:
0.24
Step-by-step explanation:
(13 - 3) 2 / 50
10 + 2 / 50
12 / 50
=0.24
Hope this helped! Have a nice day! Plz mark as brainliest!!!
-XxDeathshotxX
Answer:
Exact form: 2/5
Decimal: 0.4
Step-by-step explanation:
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
Give two ways to write the algebraic expression in words.
n - 5
Zayna has 4 boxes with 14 art books in each box. She has 3 bags with 12 math books in each bag. If she
gives 15 books away, how many art and math books does she have left?
Find the distance between the points (-3,-2) and (-1, -2).
2
V6
4
Answer:
2 units. Hope this helps!
Evaluate 1/2(4^3-6*3^2)
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
Angad was thinking of a number. Angad doubles it, then adds 8 to get an answer of 68.4. What was the original number?
Answer:
The answer is 30.2
Step-by-step explanation:
subtract 8. Then divide by 2
Answer: 30.2
Step-by-step explanation: so 68.4 - 8 because Angad added 8 so we have to subtract that. So 60.4 divided by 2 because Angad doubled the number, gets us 30.2.
Hope I could help!
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.
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
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:
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 :/
Simplify the question !! :))
Answer:
We combine like terms to get [tex]10x^{2} + 3x - 6[/tex]
Hope this helps!
Find the slope of the line write your answer in simplest form
Answer:
-3/5
Step-by-step explanation:
(y2-y1)/(x2-x1)=Slope ((1)-(-2))/((-4)-(1)) or 3/-5
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
The diameter of a circle is 18 m. Find its circumference in terms of \piπ.
Answer:
18π
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]