Answer:
216π sq ft
Step-by-step explanation:
given that :
d = 12 ft => r = 12/2 = 6ft
h(cyl) = 10 ft
h(cone) = 8 ft
the surface area = ?
the solution :
the slant of cone = √r²+h²
= √6²+8²= √100 = 10 ft
the surface area of silo =
the lateral area of cone + the lateral area of cylinder + the base area
= π×r×slant + 2×π×r×h(cyl) + π×r²
= π×6×10 + 2×π×6×10 + π×6²
= 60π + 120π + 36π
= 216π sq ft
The surface area of the silo will be 216π square feet. Then the correct option is C.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
A silo consists of a cone stacked on top of a cylinder, where the radii of the cone and the cylinder are equal.
The surface area is the sum of the surface area of the cone and cylinder. Then we have
The diameter of the cylindrical base of the silo is 12 ft and the height of the cylinder is 10 ft, while the height of the cone is 8 ft.
Surface area = πrl + 2πrh + πr²
The length of the radius will be
r = d /2
r = 12 / 2
r = 6 ft
The length of slant height will be
l² = 6² + 8²
l² = 100
l = 10 ft
Then the surface area of the silo will be
SA = π × 6 × 10 + 2π × 6 × 10 + π6²
SA = 60π + 120π + 36π
SA = 216π square feet
The surface area of the silo will be 216π square feet.
Then the correct option is C.
More about the geometry link is given below.
https://brainly.com/question/7558603
#SPJ2
Find c Round to the nearest tenth 27 201 28 c=?
Answer:
56.3 =c
44.1 =a
Step-by-step explanation:
Using the law of sines
sin 102 sin 28
---------- = ----------
c 27
Using cross products
27 sin 102 = c sin 28
Divide by sin 28
27 sin 102
------------ = c
sin 28
56.25470702= c
Rounding to the nearest tenth
56.3 =c
To find a
We need Angle A
A = 180 - 102 -28
A = 50
sin 50 sin 28
---------- = ----------
a 27
Using cross products
27 sin 50 = a sin 28
27 sin 50
------------ = a
sin 28
44.0563425= a
Rounding to the nearest tenth
44.1 =a
Trong đợt xảy ra một loại dịch bênh X ,người ta điều tra ngẫu nhiên 1600 nhười dân ở một vùng thấy có 160 người đã được tiêm vaccine đủ liều và đúng lịch
Answer:
Probability of an event = 1 / 10
Step-by-step explanation:
Given:
Total number of people in particular area = 1,600
Number of people vaccinated = 160
Find:
Probability[people vaccinated]
Computation;
Probability of an event = Number of favorable outcomes / Total number of outcome
Probability of an event = 160 / 1600
Probability of an event = 16 / 160
Probability of an event = 1 / 10
The image of a parabolic lens is projected onto a graph. The image crosses the x-axis at –2 and 3. The point (–1, 2) is also on the parabola. Which equation can be used to model the image of the lens?
y = (x – 2)(x + 3)
y = (x – 2)(x + 3)
y = (x + 2)(x – 3)
y = (x + 2)(x – 3)
Answer:
[tex]y =-\frac{1}{2}(x +2)(x - 3)[/tex]
Step-by-step explanation:
Given
[tex]x_1 = -2[/tex]
[tex]x_2 = 3[/tex]
[tex](x,y) = (-1,2)[/tex] --- a point on the parabola
Required
The equation
First, calculate the equation from the zeros
[tex]y =k(x - x_1)(x - x_2)[/tex]
Substitute [tex]x_1 = -2[/tex] and [tex]x_2 = 3[/tex]
[tex]y =k(x - -2)(x - 3)[/tex]
[tex]y =k(x +2)(x - 3)[/tex]
To solve for k, we substitute [tex](x,y) = (-1,2)[/tex]
[tex]2 = k(-1+2)(-1-3)[/tex]
[tex]2 = k(1)(-4)[/tex]
[tex]2 = -4k[/tex]
Divide by -4
[tex]k=\frac{2}{-4}[/tex]
[tex]k=-\frac{1}{2}[/tex]
So, the equation is:
[tex]y =k(x +2)(x - 3)[/tex]
[tex]y =-\frac{1}{2}(x +2)(x - 3)[/tex]
Answer: c
Step-by-step explanation:
Aldo drives a truck for a soft drink company. His truck is filled with 15 ounce cans and 70 ounce bottles. Let c be the number of 15 ounce cans the truck is carrying, and let b be the number of 70 ounce bottles suppose the truck can carry 7000 pounds (112,000 ounces) using the values and variables given write an inequality
Answer:
15c+70b[tex]\leq[/tex]112000
Step-by-step explanation:
Truck could carry 7000 pounds.
There are 15 ounce cans and 70 ounce bottles.
There are 'c' number of 15 ounce cans and 'b' is the number of 70 ounce bottles.
So, C number of cans can carry 15C ounces
'b' number of bottles can carry 70b ounces
So, we can set up inequality as
15c+70b[tex]\leq[/tex]112000
Please help I’ll give brainliest
Answer:
3675
Step-by-step explanation:
Encuentra en cada producto notable el error o errores,enciérralo y escribe el resultado correcto.
Given:
The equation is:
[tex](2x+3y)(2x-3y)=4x^2+6y^2[/tex]
To find:
The error in the given equation and correct it.
Solution:
We have,
[tex](2x+3y)(2x-3y)=4x^2+6y^2[/tex]
Taking left-hand side, we get
[tex]L.H.S.=(2x+3y)(2x-3y)[/tex]
[tex]L.H.S.=(2x)^2-(3y)^2[/tex] [tex][\because a^2-b^2=(a-b)(a+b)][/tex]
[tex]L.H.S.=(2)^2(x)^2-(3)^2(y)^2[/tex] [tex][\because (ab)^x=a^xb^x][/tex]
[tex]L.H.S.=4x^2-9y^2[/tex]
It is not equal to right-hand side [tex]4x^2+6y^2[/tex]. In the right hand side, there must be a negative sign instead of positive sign.
Therefore, [tex](2x+3y)(2x-3y)=4x^2-6y^2[/tex].
Brian purchased a rectangular-shaped granite countertop for the island in his kitchen. The granite slab measures
72 inches by 42 inches by 1.25 inches. If the density of granite is 170 pounds per cubic foot, how much does the
countertop weigh in pounds?
HELP ME PLEASE!!!
Answer: [tex]371.8\ \text{Pounds}[/tex]
Step-by-step explanation:
Given
Dimensions of rectangular granite countertop is [tex]72\times 42\times 1.25\ in.^3[/tex]
Density of granite is [tex]\rho=170\ \text{Pounds per cubic ft}[/tex]
Volume of granite countertop
[tex]\Rightarrow V=72\times 42\times 1.25\\\Rightarrow V=3780\ in.^3[/tex]
We know, 1 ft=12 inch
[tex]\therefore V=2.187\ cm^3[/tex]
Weight of granite
[tex]\Rightarrow m=\rho \times V\\\Rightarrow m=170\times 2.1875\\\Rightarrow m=371.8\ \text{Pounds}[/tex]
At sunrise, the outdoor temperature was 2 degrees
below zero. At dusk, the outdoor temperature has
dropped to 15 degrees below zero. What is the distance
between the two temperatures?
Answer: 13 degrees
Step-by-step explanation:
1. - 2<0
2. (- 2)-(-15)=(-2)+15=13
can somebody help me frl frl cause I'm failing
HELP ME PLEASE ITS FOR MATH
Answer:
4.50
Step-by-step explanation:
[tex] \sin(40) \times 7 = 4.499513268[/tex]
round it up
[tex] = 4.50[/tex]
Rewrite the following polynomial in standard form. -x -7x^2 -10
Please Help
Answer:
-7x^2 - x - 10
Step-by-step explanation:
Rewriting a polynomial in standard form most often involves writing the x terms in descending order by power: x^2, x^1, x^0
Rewrite -x -7x^2 -10 as -7x^2 - x^1 - 10x^0, which is usually simplified to:
-7x^2 - x - 10
This result is in "standard form."
[tex]-7x^2-x-10
[/tex]
Which expression is equal to 12x
A. 4x + 4x - 4x
B. 24x/2
C. (3x)(4x)
D. 15x - 3
Answer:
B.
Step-by-step explanation:
4x + 4x - 4x = 4x
24x ÷ 2 = 12x
3x • 4x = [tex]12x^2[/tex]
15x - 3 = 15x - 3
Answer:
B. 24x/2
Step-by-step explanation:
12x
A. 4x + 4x - 4x = 8x - 4x = 4x
B. 24x/2 = 24/2 x = 12x
C. (3x)(4x) = 12 x^2
D. 15x - 3 = 15x -3 ( no like terms
HELP ⚠️⚠️⚠️
WILL GIVE BRAINLIEST⚠️⚠️⚠️
DID THE SHOP MEET THE TARGET?⚠️⚠️
WORTH MANY POINTS!!
Answer:
No the shop did not meet the 65 mean.
Step-by-step explanation:
The mean is the same thing as the average of the sales. So the first six months sales were 52, 82, 71, 92, 51, and 28. the average of these six numbers is 62.66667 which is short of the 65 mean.
52+82+71+92+51+28=376
take that number 376 and divide by the number of months (6)
376/6=62.66667
2.8x + x (3)
i need the answer to this math question and show your work please
complete the conversion:
5 grams / metres squared = _________ kilograms / hectares
(5g/m2=_________ kg/ha)
Answer:
5 grams/metres squared = 50 kg/hectares
Step-by-step explanation:
We need to convert 5 grams/metres squared to kilograms/hectares.
We know that,
1 kg = 1000 g
1 hectare = 10000 m²
So,
[tex]5\ \dfrac{g}{m^2}=5\times \dfrac{0.001}{\dfrac{1}{10000}}\\\\=50[/tex]
Hence, 5 grams/metres squared = 50 kg/hectares
if 7=42,6=30,5=20 then 3=? find it's value
Answer:
6
Step-by-step explanation:
7=42 is 7*6
6=30 is 6*5
5=20 is 5*4; it's multiplied by the number below it, so 3 will be 3*2
3 = 6
Step-by-step explanation:
Given: 7 = 42, 6 = 30, 5 = 20
7 (x 6) = 42
6 (x 5) = 30
5 (x 4) = 20
Follow the pattern
4 (x 3) = 12
3 (x 2) = 6
3 = 6
Find the missing angle
Answer:
∅ ≈ 34º
Step-by-step explanation:
sin = opp/hyp
∅ = arcsin opp/hyp
∅ = arcsin 14/25
Use calculator
∅ = 34.055797742567906
∅ ≈ 34º
Answer:
is 55
Step-by-step explanation:
×[tex]\frac{x}{1}*\frac{14}{25}[/tex]⇒0.56
cos0.56
55
I need help fast with the first question in the page which is the find algebraically in R
Answer:
2x²+5x-6 = 0
using the quadratic formula
x = 0.886 and x= -3.386
Jeff had 5 apples but ate 2 Kyle had 3 apples but ate 1 kelsea has 8 apples but ate 4
Answer:
jeff has 3 apples left. kyle has 2 apples left. kelsea had 4 apples left.
Step-by-step explanation:
5-2=3
3-1=2
8-4=4
Answer:
jeff 3 apples, kyle 2 apples, kelsea 4 apples
total apples left = 9 apples
total apples eaten = 7 apples
total apples = 16 apples
Step-by-step explanation:
What is the value of n?
Answer:
n = 28 degree
Step-by-step explanation:
2n + 17 + 2n - 5 + 2n = 180 degree (sum of interior angles of a triangle)
6n +12 = 180
6n = 180 - 12
n = 168/6
n = 28 degree
Eva bought a guitar for $80. Later that guitar was marked down by 35%. By how much has the value been decreased?
Answer:
r
Step-by-step explanation:
Answer:
$52 is the sale price.
Step-by-step explanation:
First find 35% of $80. Multiply .35 x 80 to do this.
.35 x 80 = 28
Then subtract 28 from the original price 80.
80 - 28 = 52
Hello everyone
Please need this
thank you
Answer:
a. x=9
b. PR = 59
Step-by-step explanation:
a. 11x-40 = 6x+5
11x-6x=5+40
5x=45
x=9
b. PR = 11(9) -40
= 99-40
= 59
125.315 to two significant figures
Answer: 130
Step-by-step explanation:
The five rounds up making it 130
30 POINTS HURRY ILL GIVE BRANLIEIST!!!
A landscape architect built a rectangular playground. The length and width of the playground measure 4x and 2x meters. The playground has an area of 800 m^2. How much fencing is needed to fully enclose the playground?
can someone please answer this
Answer:
x = 100
It is on a straight line and so, it equals to 180.
180 - 80 = 100
Find the area of the circle.
Answer:
153.86
Step-by-step explanation:
So first off, what is the formula for finding area of a circle?
Its [tex]\pi r^{2}[/tex]
We know that r(radius), is the distance from one point of the circle to its center.
In this case it is 7.
Note that in other cases, you might see a line going strait through the middle of the circle.
This is the diamater, and is 2x the radius. If you see the diamater, divide it in half, and you will find radius.
Now, back to the problem.
We know our radius is 7, so lets plug that into [tex]\pi r^{2}[/tex]:
[tex]\pi *7^{2}[/tex]
=
[tex]\pi *49[/tex]
=
153.93
So tecnically, this test is wrong. THe actual answer is .07 bigger than what they give.
However, it is the only possible answer, so it is correct.
Answer:
153.86
Hope this helps!
Calculate the distance of line segment AB.
1 pm
B
A
24 cm
10 cm
с
14
O 25
O 28
0 26
O 31
Answer:
26 cm
Step-by-step explanation:
[tex]a^{2} +b^2=c^2[/tex]
[tex]24^2+10^2=c^2[/tex]
576 + 100 = 676
[tex]\sqrt{676}[/tex] = 26 cm
Just wanna double check my answer on this one. I got a profit of 60%
Answer:
Yes the answer is indeed 60%
the answer is 60% so you are correct
HELPPPPP!!!! ASAPPPPP!!!!
Answer:
the second one
Step-by-step explanation:
Beth said the distance to school is 2.8 km. The actual distance is 3.5 km. What is the percent error
Answer:
20%
Step-by-step explanation: The percent of error formula is |(theoretical value-actual value)/actual value|=percent of error. Substitute the values in. |(2.8-3.5)/3.5|=|(-0.7)/3.5|=0.2. The percent equal to 0.2 is 20%.