Answer:
5.95cm
Step-by-step explanation:
Given data
Area of base of cone= 120π cm^2
Volume of cone= 240π cm^3
Area of base= Area of circle
Area= πr^2
120π= πr^2
120= r^2
r= √120
r= 10.9
r= 11cm
Let us find the height of the cone
The expression for the volume of cone is given as
V= 1/3πr^2h
240π= 1/3π*11^2*h
240= 1/3*121*h
240= 40.33h
divide both sides by 40.33
h=240/40.33
h= 5.95cm
Hence the height of the cone is 5.95cm approx
help me please i could really use some help
the answer is in the picture
Pls help!! Will mark brainliest
Answer:
-5 = Contraction
-(1/4) = Contraction
3.5 = Expansion
(6/7) = Expansion
Step-by-step explanation:
Contraction means decreasing and expansion means increasing. So the numbers containing negative signs are contraction and the numbers containing positive signs are expansion.
Hope this will help and if so, please mark me brainliest.
Two researchers are studying the decline of orangutan populations. In one study, a population of 784 orangutans is expected to decrease at a rate of 25 orangutans per year. In a second study, the population of a group of 817 orangutans is expected to decrease at a rate of 36 per year. After how many years will the two populations be the same?
The two populations will be the same after
years.
Answer:
3 years
Step-by-step explanation:
Let y = number of orangutans, and let x = number of years.
For each study, the population, y, after x years is:
First study:
y = 784 - 25x
Second study:
y = 817 - 36x
We set the populations equal and solve for x, the number of years.
784 - 25x = 817 - 36x
Add 36x to both sides. Subtract 784 from both sides.
11x = 33
Divide both sides by 11.
x = 3
Answer: 3 years
Consider a function that describes how a particular car gas mileage depends on its speed. What would appropriate domain for this function?
A. 0 to 100 per hour
B. 0 to 50 miles per gallon
C. Times from 0 to 10 minutes
D. Times from -10 to 10 minutes
Answer: A. 0 to 100 per hour
==================================================
Explanation:
The phrasing "Depends on its speed" tells us that the speed is the independent variable, and therefore it's the x variable.
The domain is the set of allowed x values of a function, or allowed inputs. In this case, it appears the car's max speed is 100 mph.
Answer:
0 to 100 miles per hour
Which fraction is equal to a whole number? 10/4. 8/4. 3/6. 7/8
plz help
Answer:
[tex]\frac{8}{4}[/tex] = 2
Step-by-step explanation:
Divide numerator by denominator
[tex]\frac{10}{4}[/tex] = 2.5 ← not a whole number
[tex]\frac{8}{4}[/tex] = 2 ← a whole number
[tex]\frac{3}{6}[/tex] = 0.5 ← not a whole number
[tex]\frac{7}{8}[/tex] = 0.875 ← not a whole number
Question 2 of 10 What is the slope of the line shown below? O A O B. O c. LOG O p. 3
A, B or D
..................
................
...............
......
.
.
.
.
Which could be the first step in solving the equation represented by the model below?
X X X x
II
O Add 4 negative unit tiles to both sides.
O Add 4 negative unit tiles to the left side, and add 6 negative unit tiles to the right side.
O Add 4 positive unit tiles to both sides.
O Add 6 negative unit tiles to the left side, and add 4 negative unit tiles to the right side.
Find the area of a parallelogram if a base and corresponding altitude have the indicated lengths.
Base 3 1/2 feet, altitude 3/4 feet.
Answer:
below
Step-by-step explanation:
base * height = area of a parallelogram
7/2 × 3/4
=21/8 feets
That is the question below!
Answer:
Step-by-step explanation:
Dhehekej
can somebody please help, i'll mark you as brainiest and no links:)
Answer:
[tex]28[/tex]
Step-by-step explanation:
The formula for the area of the shape is given is equal to its base multiplied by its height. We're given a base of 7 and height of 4, hence the area is [tex]7\cdot 4=\boxed{28}[/tex]
Please help due today
Answer:2.3
Step-by-step explanation:
Cut the the shape into a right triangle and a rectangle
Tri: find measure of the base
sin(45)= opp/hyp
= x/1.8
1.8 *sin (45) = x
x = 1.3
base of tri = 1.3
Area of tri = 1/2bh
1/2(1.3)(1.3)
=0.845
Area of rectangle: 1.1*1.3=1.43
Total area = 1.43+0.845
=2.245
=2.3m^2
Find the measure of arc ABC.
Answer:
Step-by-step explanation:
The angle (angle D) created by 2 tangents to a circle (DC and DA) is half of the difference between its intercepted arcs (arc ABC - arc AC):
[tex]65=\frac{1}{2}(x-[360-x])[/tex] If we don't know the measures of either of the arcs, but we DO know that the measure around the outside of a circle is 360 degrees, then we will call arc ABC "x", making arc AC "360 - x". Solving:
2(65) = 2x - 360 and
130 = 2x - 360 and
130 + 360 = 2x and
490 = 2x so
x = 245. This means that arc ABC is 245 and arc AC is 115.
Tom bought a pizza. He ate 1/3 of the pizza and gave some of it to his brother. He was left with 1/5 of the pizza. What fraction of the pizza did he give to his brother?
Answer:
2/3 = 10/15
1/5 = 3/15
10/15 - 3/15 = 7/15 of the pizza to his brothers
Express sin P as a fraction in simplest terms.
Answer:
1/15
Step-by-step explanation:
sin P = ON/PN = 2/30 = 1/15
Aaron has $35 and a coupon for 35% off for one
item. He wants to buy a new pair of shoes for $41.
Will he be able to get the shoes after the
discount?
Answer:
YES
Step-by-step explanation:
Find 35% of $41. You can basically replace the "of" with multiplication, and then remember that "percent" means "per hundred", so divide 35 by 100.
You will get:
(35/100) x 41
Putting it into decimal form:
0.35 x 41
And you get: $14.35
Remember, you're not done yet, because we have just found the amount of money that will be taken off of the original price. So we have to subtract this from $41.
$41.00 - $14.35 = $26.65
Now compare the prices! Aaron has $35, and with the discount, the shoes will only cost $26.65!
$26.65 is less than $35, so he will be able to get the shoes! Yay for Aaron!
. Is (4,-3) a solution to the following system of equations?
X - y = 4
2x + y = 5
(Use elimination method)
Answer:
No. The correct solution is (3,-1)
Step-by-step explanation:
Since we are using elimination method, we can go ahead and see that we can cancel "-y" from the first equation and "+y" from the second equation.
Once we do that, we go ahead add the like terms and get 3x = 9
Then, we divide by 3 on each side and get x = 3
Now, we can take that value of x and plugin to any of the original 2 equations we started with.
Say we plugin x = 3 into the second equation.. it will turn to, 2(3) + y = 5
Then we solve for y.
2(3) + y = 5
6 + y = 5
6 - 1 = 5
y = -1
There, we found our x value and our y value, (3,-1) :)
Triangle EFG is congruent to triangle YXZ by ASA. The congruent parts already marked in the picture. What other corresponding parts can be marked congruent by CPCTC? Select all that apply.
EG ≅ YX
∠F ≅ ∠X
∠E ≅ ∠G
∠F ≅ ∠Z
∠G ≅ ∠X
GF ≅ ZX
EF ≅ YX
EF ≅ ZY
Given:
Triangle EFG is congruent to triangle YXZ by ASA.
To find:
The other corresponding parts can be marked congruent by CPCTC.
Solution:
We have,
[tex]\Delta EFG\cong \Delta YXZ[/tex]
We know that the corresponding parts of congruent triangles are congregant (CPCTC). So,
[tex]\angle E\cong \angle Y[/tex]
[tex]\angle F\cong \angle X[/tex]
[tex]\angle G\cong \angle Z[/tex]
[tex]EF\cong YX[/tex], it is also written as [tex]FE\cong XY[/tex]
[tex]FG\cong XZ[/tex], it is also written as [tex]GF\cong ZX[/tex]
[tex]EG\cong YZ[/tex], it is also written as [tex]GE\cong ZY[/tex]
Therefore, the correct options are 2, 6 and 7.
Two lines are intersecting. What is the value of x? Enter your answer in the box. Two straight lines intersecting each other where the consecutive angles formed are x plus twenty three degrees and two x plus four degrees.
Answer:
x = 51
Step-by-step explanation:
Supplementary angles total 180º
(2x + 4) + (x + 23) = 180
Combine like terms
3x + 27 = 180
Subtract 27 from both sides
3x = 153
Divide both sides by 3
x = 51
Answer:
Hello! x = 51
Step-by-step explanation:
OMG I CAN ANSWER FINALLY!
it is forming a supplementary angle meaning it will add up to 180 degrees
51 × 2 = 102 102 + 4 = 106
51 + 23 = 74
106 + 74 = 180 therefore x = 51 Hope that helps.
A silo has a diameter of 50 feet and a height of 30 feet with a cone on top adding another 10 feet of height. What is the volume of the silo.
Answer:
Step-by-step explanation:
Solve this by adding the volume of the cylinder with the volume of the cone. The volume of a cylinder is found from the equation:
pi * r^2 * h
In this case that gives pi * 50^2 * 30 = 75000pi
The area of the cone is found from the equation:
pi * r^2 * h *1/3
In this case you get pi * 50^2 * 10 * 1/3= 8333.pi
Add the two to ger 83333.333*pi ~261799
The radius of a circular garden is 10 feet. Find the diameter, circumference, and area of the garden
Answer:
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no hablo Taka Taka
Step-by-step explanation:
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fycyvjmljid trabajos de todo n ok la ya TAS h BB la
Between which two integers does -√46 appear on the number line please write in words
==========================================================
Explanation:
List out the perfect squares
1^2 = 12^2 = 43^3 = 94^2 = 165^2 = 256^2 = 367^2 = 498^2 = 64and so on. We can see that 46 is between 6^2 = 36 and 7^2 = 49.
We can say 6^2 < 46 < 7^2
Applying the square root to all three sides leads us to 6 < sqrt(46) < 7
Now multiply all three sides by -1. This will flip the inequality signs
We go from
6 < sqrt(46) < 7
to
-6 > -sqrt(46) > -7
It might help to order things from smallest to largest to get this
-7 < -sqrt(46) < -6
This means -sqrt(46) is between -7 and -6 on the number line
See the diagram below.
Answer:
Step-by-step explanation:
First notice that -√46 lies between -√49 and -√36, that is, between
-7 and -6.
Here all three numbers are negative because they lie to the left of zero (0) on the number line.
Use the line of best fit to predict the total amount of money earned in tips
after working 12 hours.
A. $100
B. $102
C. $120
D. $112
Answer:
So its C! Heart it if its explained well, thanks!
Step-by-step explanation:
There is a pattern. The ordered pairs look like this...(1,10), (2,20), (3,30), (8,80) etc. So if we keep going (12,120)
Answer:
C
Step-by-step explanation:
can some one help me solve this?
Answer:
i’m not sure good luck
Step-by-step explanation:
See image for question.
Answer:
See belowStep-by-step explanation:
#3
P(A) = 3/8P(B) = 2/7(i)
P(A and B) = P(A) * P(B) = 3/8*2/7 = 3/28(ii)
P(A or B) = P(A) + P(B) - P(A and B) = 3/8 + 2/7 - 3/28 = 1/56(21 + 16 - 6) = 31/56(iii)
P(not A and not B) = P(not A) * P(not B) = (1 - 3/8)*(1 - 2/7) = 5/8*5/7 = 25/56Another way:
P(not A and not B) = 1 - P(A or B) = 1 - 31/56 = 25/56#4
Outcomes with two fair coins: TT, TH, HT, HH
Outcomes with normal dice: 1 to 6
a)
P(odd number) = 3/6 = 1/2b)
P(two heads and an even number) = 1/4*3/6 = 1/8c)
P(head and tail) = 1/2P(prime) = 3/6 = 1/2 (primes are 2, 3 and 5)P(head, tail and prime) = 1/2*1/2 = 1/4d)
P(two tails and odd number) = 1/4*3/6 = 1/8Tao uses elimination to solve the following system of linear equations.
Given:
The system of equation is:
[tex]-2x+4y=16[/tex]
[tex]2x+2y=8[/tex]
To find:
The solution of the given system of equations.
Solution:
We have,
[tex]-2x+4y=16[/tex] ...(i)
[tex]2x+2y=8[/tex] ...(ii)
Add (i) and (ii) to eliminate the variable x.
[tex]6y=24[/tex]
[tex]y=\dfrac{24}{6}[/tex]
[tex]y=4[/tex]
Putting [tex]y=4[/tex] in (ii), we get
[tex]2x+2(4)=8[/tex]
[tex]2x+8=8[/tex]
[tex]2x=8-8[/tex]
[tex]2x=0[/tex]
Divide both sides by 2.
[tex]x=0[/tex]
Therefore, the solution of given system of equations is (0,4). Hence, the correct option is A.
Answer:
(0,4) or A
Step-by-step explanation:
Edge 2021
Find the measure of angle 2 if the measure of angle 8 is 40
degrees.
Answer:
what is the shape?
Step-by-step explanation:
like is a square triangle or what ? show us a picture
Find value of x
A.)46
B.)80
C.)15
D.) 26
The two angles are supplementary angles, which when added together equal 180 degrees.
6x -10 + 6x +10 = 180
Combine like terms:
12x = 180
Divide both sides by 12:
x = 180/12
x = 15
The answer is C) 15
PLEASEEEEEEEEEEE HELPPPPPPPPPPPP!!!!!!! ASAPPPPPPP TYSM
Answer:
c
Step-by-step explanation:
Which equation could be used to find the length of the hypotenuse?
Triangle A B C. Side A C is 5 centimeters and side C B is 8 centimeters. Hypotenuse A B is labeled c.
5 squared + 8 squared = c squared
5 squared + c squared = 8 squared
c squared minus 5 squared = 8 squared
8 squared minus 5 squared = c squared
Answer:
AC^2+BC^2= AB^2
So 5^2+8^2=c^2
5 squared + 8 squared = c squared
Please mark me as brainliest.
Of the first fifteen kindergartners, four of them select treat bags containing bubbles, and eleven of them select treat bags containing sidewalk chalk.
The next kindergartner in line is ____ to select a treat bag containing bubbles than of sidewalk chalk
Equally likely
Less likely
More likely