Answer:
7.5 m 457.5[tex]\pi[/tex] [tex]m^{2}[/tex]
Step-by-step explanation:
First, visualize the original cone and the smaller cone as overlapping similar triangles. The scale factor of the original cone to the smaller cone is 50:40, so if the smaller cone has a radius of 6 m, then the radius of the original cone would be 7.5 m.
The volume of the frustum is the volume of the original cone minus the volume of the smaller cone. The formula for the volume of a cone is V = [tex]\frac{1}{3} \pi r^{2}h[/tex].
Original Cone = [tex]\frac{1}{3} \pi r^{2}h[/tex] = [tex]\frac{1}{3} \pi *7.5^{2}*50[/tex] = 937.5[tex]\pi[/tex]
Smaller Cone = [tex]\frac{1}{3} \pi r^{2}h[/tex] = [tex]\frac{1}{3} \pi *6^{2}*40[/tex] = 480[tex]\pi[/tex]
Frustum = 937.5[tex]\pi[/tex] - 480[tex]\pi[/tex] = 457.5[tex]\pi[/tex]
2.
Write a rule for the linear function in the table.
x f(x)
–1 –5
2 –2
5 1
8 4
A. f(x) = x – 4
B. f(x) = 3x
C. f(x) = x + 4
D. f(x) = x – 5
Answer:
C. f(x) = x + 4
Step-by-step explanation:
Write an equation for the following line.
10
-10
10
-101
Witch of the following equations have z=4
9z+22=26
7z-1=27
46-8z=14
5z+40=62
Answer:
b
Step-by-step explanation:
what is the value of x in the triangle??
Answer:
x=40°
Step-by-step explanation:
Every triangles area equals 180
75+65=140
180-140=40
Answer:
40
Step-by-step explanation:
All angles in a triangle add up to 180°.
65° + 75° + x° = 180
140° + x° = 180°
-140 -140
x° = 40°
Kobe wants to organize his toys. He wants to put his į inch cubes in a box with width 2 inches, length 3 inches, and height 2 inches? How many inch cubes can he fit in the box?
Volume of box : 2 x 3 x 2 = 12 cubic inches.
Volume of cube : 1^3 = 1 cubic inch.
Number of cubes = volume of box / volume of cube:
12/1 = 12 cubes.
Answer:
12 cubes
Step-by-step explanation:
hope this helped
10x - 4y for x = 14 and y = 5 PLEASE!
Answer:
120
Step-by-step explanation:
10(14)-4(5)
=140-20
=120
Answer:
120.
Step-by-step explanation:
10(14)-4(5)
140-20
120.
If a circle has an area of 49 squared, what is its exact radius?
Answer:
27.7
Step-by-step explanation:
Area = πr²
49²/π = r²
r = 49/√π = 49/1.77 = 27.7
Verdadero o falso a) al reducir a comun denominador las fracciones se sustituyen por otras equivalentes
Answer:
Verdadero
Step-by-step explanation:
Verdadero, cuando cambias dos fracciones para darles un denominador comun la fraccion entera se sustituye para otra que tiene el mismo valor numerico que la original. Por ejemplo tenemos una fraccion 2/6 en la cual tenemos que cambiarle el denominador a uno comun con otra fraccion que es 18. Entonces sustituyemos la fraccion por la siguente fraccion 6/18. Esta nueva fraccion es equivalente a la original y los dos tienen el mismo valor numerico...
2 / 6 = 0.333
6 / 18 = 0.333
A bank account with an initial deposit of $4,000 and an interest rate of 4% increases by 4% each year. The balance (B) as a function of time in years (t) can be described by an exponential function: B(t) = 4,000(1.04)t
What parameter would change if the interest rate were changed to 7%?
Parameter
(select)
would change if the interest rate were changed to 7%.
Is 1,48 rational or irrational
Answer:This number is classified as rational
Step-by-step explanation: Have a great day!
PLEASE HELP!!! (i will give brainliest)
Step-by-step explanation:
[tex] {9}^{2} = {6}^{2} + {x}^{2} \\ 81 = 36 + {x}^{2} \\ {x}^{2} = 45 \\ x = 6.71 \: ft[/tex]
6.71 is answer ok plz MARK me as BRAINLIST
Will mark BRAINLIEST!!
What is - 1 1/15 + (- 3/5) =
1) -5n – 4n ?????????????????????????????????????????
Answer: =−9n
Step-by-step explanation: hope this help
-5n-4n
=-5n-4n
=-5n+-4n
=-n+-n+-n+-n+-n+-n+-n+-n+-n
=-9n
2 It is 7:40 A.M. Delilah's bus arrives
at 7:53 A.M. It takes her 10 minutes
to get to the bus stop. Will she
catch her bus?
yourloos nosos 3 sovios
to
no 18119
What time will she get to the bus
stop?
9
SRB
Answer:
no she will be 3 min late
Step-by-step explanation:
will give brainliest at the right answer
Answer:
1.) 40.0 2.) 75.00 3.) 140.00 4.) 200.00 5.) 500.00 6.) 1300.00 7.) 70.0000
8.) 10.00 9.) 245.00 10.) 900.00
Triangle V P M. Angle V is 52 degrees, angle P is 78 degrees, angle M is x degrees.
Answer:
[tex]x = 50[/tex]
Step-by-step explanation:
[tex]52 + 78 + x = 180[/tex]
[tex]130 + x = 180[/tex]
[tex]x = 180 - 130[/tex]
[tex]x = 50[/tex]
Richard and Teo have a combined age of 49. Richard is 13 years older than twice Teo's age. How old are Richard and Teo?
Answer:
13×2=26
Maybe i can help u a little
Answer:
teo is 18 and Richard is 31
Step-by-step explanation:
hope it helps you
please mark me as brainlist
why do countries, make alliances, in wartime? please someone help me!
Answer:
Most of the time, it is because they need the military aid or the resources that a certain country needs. That's kinda what the UN is all about is aiding each other in times of war
Step-by-step explanation:
Answer:
Because when make allies, they have someone to have their back.
Step-by-step explanation:
For example, If you're in a fight, you're gonna need backup. In war, you need as many people as you can to take down the villain (your opponent). Which means people, ammo, guns, bombs, support, and inside spies. All of this helps and will be easier to defeat the person per-say.
what is the range for a x intercept of (5,0) and a y intercept of (0,3)
Answer:
(5,0)=x1,y1
(0,3)=x2,y2
so the range will be x1-x2/
Mark has $500 in his savings account. If he saves $25 each month, how many months will it take him to have $1000.
Answer: 20, I believe
Step-by-step explanation: You already have 500 which is half of 1000. 500 divided by 25 equals 20.
Bella went to Yard Depot multiple times. Each time she was there, Bella bought a gardening hat and y pairs of gardening gloves. The expression shown below represents the total amount of money, in dollars, Bella spent at Yard Depot. a(by + c) C. Explain what a, b, and c each mean in terms of the situation.
Answer:
a is how many times bella went 2 yard depot
b is how many gardening gloves she bought
c is how many gardening hats she bought
Which story shows 1/3 divided by 5?
When the stress on a rock in the mantle is greater than the rock is strong ________.
the rock breaks and energy is released in the form of s-waves and p-waves
a volcano erupts
a tsunami builds under the ocean
sedimentary rock is formed
Answer:
sedimentary rock is formed
Step-by-step explanation:
Pleasee help wit this
Answer:
Step-by-step explanation:
f(-9)=2(-9)²+5(-9)+20
= 162-45+20
= 137
Answer:
137
Step-by-step explanation:
f(-9) = 2(-9)^2 + 5(-9) + 20
= 162 - 45 + 20
= 137
Hey please help me!
Whats 12y + 2x = 24 ???
Answer:
y=2 x=0
Step-by-step explanation:
12x+2x=24
12 times 2+ 2 times 0
=24
help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Option C it is sure
,
A
trust me looooooooooll
Safeway has ginger ale on sale at 12 cans for $4.00 and Giant has the same brand
of ginger ale on sale for 20 cans for $6.00. Which store has the better deal?
Answer:
Giant
Step-by-step explanation:
Giant: .30c a can
Safeway: .33c a can
Select the correct answer.
Identify the expression equivalent to 4(x + x + 7) - 2x+8 - 4 by substituting x = 1 and x = 2.
ОА.
6x +11
OB. 3(x + 7)
OC. 2(3x + 16)
OD.
3x + 16
Reset
Next
Answer:
c
Step-by-step explanation:
The expression equivalent to this expression is 2(3x+16)
Data;
x = 1x = 2Equivalent ExpressionThe given expression is 4(x+x+7) -2x + 8 -4
Let's simplify this
[tex]4(x+x+7) -2x +8 - 4\\4(2x+7) -2x +4 = 8x + 28 - 2x + 4 = 6x + 32[/tex]
This can be simplified as
[tex]6x+ 32 = 2(3x + 16)[/tex]
The expression equivalent to this expression is 2(3x+16)
Learn more on equivalent expression here;
https://brainly.com/question/405965
Find the missing side length
Answer:
b
Step-by-step explanation:
First use the digits in the box to create the largest possible number. Then use the same digits to create the smallest possible number. Then find the difference between the two numbers.
Answer:
What are the digits in the box?
Step-by-step explanation: