Answer:
The radius of the cone is approximately 1.4 feet
Step-by-step explanation:
The given parameters of the cone are;
The height of the cone, h = 4 ft.
The volume of the cone, V = 7.77 ft.³
The volume, 'V', of a cone is given by the following formula;
V = 1/3 × π·r²·h
Where;
V = The volume of the cone = 7.77 ft.³
r = The radius of the cone
h = The height of the cone = 4 ft.
By substituting the vales of 'h' and 'V' in the above equation, we have;
7.77 ft.³ = 1/3 × π × r² × 4 ft.
∴ r = √(3 × 7.77 ft.³/(π × 4 ft.)) = 1.36196580784 ft.
∴ The radius of the cone, r ≈ 1.4 ft. (rounding the answer to the nearest 10th)
A farmer has just tilled her 51-yard by 68-yard field. To survey her field, the farmer begins in one corner and walks the length of the field. She then turns and walks the width before crossing diagonally across the field to the original corner. How far does the farmer walk?
Answer: l +w+ hypotenuse or 204
Step-by-step explanation: so the farmer walks the length then the width of the field then the diagonal which we don't know using pythagorean to find that last side then add the values 51^2+68^2=c^2 and 51+68+85= 204
During her first 6 moths, Susie gained 25% more than her birth weight. If she gained 2 1/2 pounds during this period, how much did she weigh at birth?
Find the missing supplementary angle.
I need help on this homework
Which expression is equal to the expression below?
(7•2)^7
A ladder is 12 metres long . It leans against a wall with one end on the ground 7 metres from the wall. The other end just reaches a windowsill. Calculate the height of the windowsill above the ground.
i need an explanation please...
Answer:
window sill height =9.75 meters
Step-by-step explanation:
Ladder^2=height^2+length^2
12^2=height^2+7^2
144=height^2+49
height^2=144-49=95
height=9.75
Find the measurement of angle ABC
Answer:
x=97° a=97° b=97°
Step-by-step explanation:
83°+a=180° (by linear pair)
a=180°- 83°
a=97
and a=x°(by corresponding angle)
x= 97°
x=b(by vertical opposite angle)
b = 97°
Two mechanics worked on a car. The first mechanic charged $115 per hour, and the second mechanic charged $65 per hour. The mechanics
combined total of 15 hours, and together they charged a total of $1475. How long did each mechanic work?
Answer:
Here is another case where we have two unknowns (the number of hours each mechanic worked) so we'll need two equations to solve.
Let A = number of hours first mechanic worked (the one who charged $45/hour)
Let B = number of hours second mechanic worked (the one who charged $105/hour)
From the problem statement, we know that the two mechanics worked a combined 35 hours so the first equation is:
Equation 1: A hours + B hours = 35 hours
We also know that in total, the charge was $2475. So the second equation is:
Equation 2: (A hours x 45 dollars/hour) + (B hours x 105 dollars/hour) = 2475 dollars
So our two equations are:
1: A + B = 35
2: 45A + 105B = 2475
Multiply both sides of the first equation by -45 to get the following:
-45A - 45B = -1575
Now the two equations are:
1: -45A - 45B = -1575
2: 45A + 105B = 2475
Add them together and the "A" term drops out:
-45B + 105B = -1575 + 2475
or
60B = 900
Now divide both sides by 60:
B = 15
Now plug B = 15 into the first equation:
A + 15 = 35 thus A = 20
So Mechanic A (at $45/hour) worked 20 hours and Mechanic B (at $105/hour) worked 15 hours
Check: 20x45 + 15x105 = 900 + 1575 = 2475
Step-by-step explanation:
hope it helps you (:
Help I will be marking brainliest!!!!
A. 119.92
B. 80.49
C. 113.68
D. 175.49
===========================================================
Work Shown:
Because segment GI is parallel to segment TA, this means triangle VGI is similar to triangle VTA.
From that we can set up the proportion
VG/VT = VI/VA
which breaks down into
VG/(VG+GT) = VI/(VI+IA)
Let's plug in the given values. Let x be the length of segment IA.
Let's solve for x
VG/(VG+GT) = VI/(VI+IA)
72/(72+61) = 95/(95+x)
72/133 = 95/(95+x)
72(95+x) = 133*95 ......... cross multiply
6840+72x = 12635
72x = 12635-6840
72x = 5795
x = 5795/72
x = 80.4861111111111 ......... which is approximate
x = 80.49 ......... rounding to the nearest hundredth
The length of IA is roughly 80.49 units. This is not the final answer. The fact that 80.49 is listed as one of the answer choices seems to imply your teacher put it as a trick answer.
Since we found IA = 80.49, this means,
VA = VI + IA
VA = 95 + 80.49
VA = 175.49
This is the length of segment VA, which is the same as segment AV.
-----------------------------
Here's a slightly similar way to solve:
VT = VG+GT = 72+61 = 133
VG/VT = VI/VA
72/133 = 95/x
72x = 133*95
72x = 12635
x = 12635/72
x = 175.486111111111
x = 175.49 is the approximate length of segment AV.
Pleaseee helppp answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!
Answer:
let the opposite angle of 44 be x
and let opposite angle of z be y
44+52 + x=180( by sum of all angle is 180°)
96+x=180
x= 180-96
x=84
y+x=180 ( linear pair angle)
y+84=180
y=180-84
y=96
now the y, z,40 are triangle.
y+z+40=180( by sum of all angle)
96+z+40=180
z+136=180
z=180-136
z=44
Which diagram is a net of the figure shown at the right?
Deborah spent $70 on food and clothes. She spent $26 more on clothes than on food. On your worksheet, solve the question and write your answer below. How much did she spend on food and how much did she spend on clothes?
Answer:
She spent $22 on food, and $48 on clothes.
Step-by-step explanation:
Let's define the variables:
C = amount of money that Deborah spent on clothes
F = amount of money that Deborah spent on food.
We know that she spent in total $70, then we have the equation:
F + C = $70
And we know that she spent $26 more on clothes than on food, then we have the equation:
C = F + $26
This means that we have a system of equations:
F + C = $70
C = F + $26
To solve these type of systems, we usually start by isolating one variable in one of the equations. Here we can see that C is already isolated in the second equation.
Now we can replace it in the first equation.
F + (F + $26) = $70
Now we can solve this for F.
2*F + $26 = $70
2*F = $70 - $26 = $44
F = $44/2 = $22
So she spent $22 on food.
Now we can use the equation:
C = F + $26
To find how much she spent on clothes, where we need to replace F by the value we found.
C = $22 + $26 = $48
She spent $48 on clothes.
please help
solve c+23-16=100
Answer:
c=93
=23-16=7
7+93=100
hence proved
Show how to rewrite 1/2 with the denominator 10.
Answer:
5/10
Step-by-step explanation:
2 x 5 = 10
you will do the same thing to the top
1 x 5 = 5
so 5/10 = 1/2
The triangles shown below must be congruent.
47
710
71
)47
62
7
7
O A. True
B. False
Answer:
True
(Angle-Side-Angle)
The triangles shown below must be congruent is a True Statement.
We have two Triangles in which
There are three angles Congruent in both Triangles.
Also, the side of the triangle is congreunt.
As we know that there is no Criteria which as congruency rule AAA Criteria.
So, we can take two Congruent angles and one Congruent side.
Thus, the statement is True.
Learn more about Congruency here:
https://brainly.com/question/7888063
#SPJ7
A man drive 250 miles on 2.5 hours.if the posted speed limit was 75 mph the entire way, approximately how many miles per hour over the speed limit was he going
Answer:
He was going 25 miles over the speed limit.
Step-by-step explanation:
250 miles in 2.5 hours is 250/2.5. That equals 100
100-75=25
Evaluate: 4+8 divided by 2x (6-3)
Answer:
Step-by-step explanation:
(4+8)/(2x(6-3)) = 12/(2x(6-3)) = 12/6x = 2/x
Answer:
2x
Step-by-step explanation:
A triangle has a height of 24km and a base of 18km. What is the area of the figure?
Answer:
216 square km
Step-by-step explanation:
24 x 18 / 2 =
432 / 2 =
216 km square
Hope that helps!
Answer:
225 [tex]km^{2}[/tex]
Step-by-step explanation:
Plz help offering 100 and will give branliest to teh first who answers! what is
2+2?????????
Answer:
4
Step-by-step explanation:
Answer:
its 4 u should know this LOLLLL
Step-by-step explanation:
Hey guys please help me!
Answer: Option 2
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
Because it is
Please help me solve this
Answer:
i have done it (*_*)
add them together then you should get 180 add 16 into it which should giver you 196 then divide by 4 which should give you 14.
Each square is one square unit. Sienna uses the same square units to draw a 6 x 2 rectangle and says that it has the same area as the 3 x 4 rectangle. Is she correct?
Answer:
Yes, Sienna is correct because 6 times 2 is 12 and 3 times 4 is 12.
a) Work out angle x.
x
55°
b) Write down the value of angle y, giving a reason for your answer.
y =
67°
Answer:
math is hard for me but yeah a good place to find answers is here or ggl maybe search on gg and the at the end put answer key i do that a lot hope my
Step-by-step explanation:
explanation helps
I need help solving this practice question solve for x
Shavon has a gift box shaped like a rectangular prism. The box is 12 inches long, 8 inches wide, and 3 inches high. What is the surface area if the gift box?
A. 156 in
B. 184 in
C. 312 in
D. 288 in
Please help :)
If it's correct I might give your brainliest
If you get the answer just give me the full answer please. No matter the length.
Answer:
CD = 4
Step-by-step explanation:
I believe you know the geometric mean for altitudes?
CD = √AD * DB = √8 * 2 = √16 = 4
If you are not aware of this theorem, then use the similarity of triangles.
ADC ~ CDB
AD/DC = CD/DB (cross-multiply)
CD^2 = AD*DB,
CD = √AD * DB = √8 * 2 = √16 = 4
Please answer asap, Due at 11:59!! ( giving brainliest )
Select the equation and solution for the problem. Let x represent the unknown number.
A total of 15 people on a sports team are riding in 3 vans. How many people are riding in each van if each van is carrying the same number of people?
Answer:
C
Step-by-step explanation:
So your total is 15. There are 3 vans, and we want to know how many are on each van.
3 (number of people on each van)=15
Number of people are unknown
3x=15
Divide both sides by 3 to solve for x
x=5
which options are correct representations of slope?
Answer: Option 2
Step-by-step explanation:
2. Emma knows that her mix of 5 cups of orange juice to 2 cups of ginger
ale will create enough drink for 7 people. If she is looking to create
enough drinks for 28 people, how many cups of orange juice will she
need? *
Answer:
11 1 /2 ( 11 and a half)
Step-by-step explanation:
If you noticed 7 and 2 are five numbers away.
To solve this I just added one to both of them until the sum was equal to 28.
If I had added one to 16 and 11, it would have given me 29, so I added a half.
That gave me 28.