Answer:
A≈1206.37 cm²
Step-by-step explanation:
Radius = 12
Height = 16
Using the formulas
A= πrl+πr²
l = √r²+h²
A=πr(r + √h²+r²)=
π·12·(12+√16²+12²) ≈1206.37158cm²
Given :
The height of a cone is 16 cm.Its base radius is 12 cm.⠀
To Find :
The curved surface area of the cone. The total surface area of the cone.⠀
Solution :
h = 16 cmr = 12 cmHere,
h is denoted as height. r is denoted as radius.So, from l² = h² + r², we have :
⠀
The slang height of the cone is represented by l.⠀
[tex]{\qquad \sf \dashrightarrow{ \: l = \sqrt{ {h}^{2} + {r}^{2} \: }cm }}[/tex]
[tex]{\qquad \sf \dashrightarrow{ \: l = \sqrt{ {(16)}^{2} + {(12)}^{2} \: }cm }}[/tex]
[tex]{\qquad \sf \dashrightarrow{ \: l = \sqrt{ 256 + 144 } \: cm }}[/tex]
[tex]{\qquad \sf \dashrightarrow{ \: l = \sqrt{ 400} \: cm }}[/tex]
[tex]{\qquad \sf \dashrightarrow{ \: \bf l = 20 \: cm }}[/tex]
⠀
So, Curved surface area = [tex] \pi{rl}[/tex]
[tex]{\qquad \sf \dashrightarrow \: 3.14 \times 12 \times 20 \: {cm}^{2} }
[/tex]
[tex]{\qquad \bf \dashrightarrow \: 753.6 \: {cm}^{2} }
[/tex]
⠀
Further, total surface area = [tex] \pi{rl} + \pi{ {r}^{2} }[/tex]
[tex]{\qquad \sf \dashrightarrow \: (753.6 + 3.14 \times 12 \times 12 )\: {cm}^{2} }[/tex]
[tex]{\qquad \sf \dashrightarrow \: (753.6 + 452.16 )\: {cm}^{2} }[/tex]
[tex]{\qquad \bf \dashrightarrow \: 1205.76 \: {cm}^{2} }[/tex]
PLEASEE HELP!!
Write and equation for this graph in slope- intercept form.
Answer:
-1.25x+2
Step-by-step explanation:
x intercept = 2.5
y intercept = 2
0-y intercept/x intercept-0 = m
0-2.5/2-0 = -1.25
Equation form:
y = m*x+b where b is the y intercept.
m = -1.25
c = 2
To put it all together,
y = -1.25x+2
What is the difference between the 15th and the 2nd square number?
Answer: [tex]15^{2} - 12^{2} \\= 81 = 9^{2}[/tex]
What is the slope of the line that passes through the points (−1,−10) and (-1, -2)
? Write your answer in simplest form.
Answer: There is no slope
Step-by-step explanation:
These points form a straight line. You can tell because both of their x coordinates are -1 which means they are a straight line when formed. If both coordinates have the same x (sign and number) they form a straight line.
I need help on number 7 I don’t understand it
Answer:
a) Right triangle b) Obtuse triangle c) equilateral triangle.
Step-by-step explanation:
A right triangle has a 90 degree angle. Obtuse triangles need to have one angle greater than 90 degrees, and equilateral triangles have same sides.
Find the circumference of the circle use 3.14 for r=3ft
Answer:
[tex]circumference \: = 2 \times 3.14 \times 3 = 18.84[/tex]
Does anyone know the answer for 7 and 8?
Answer:
7) A 8) C
Step-by-step explanation:
number 7 tells us that y=x+1
so we just basically plug it in
2x+3(x+1)=4 Answer: A
to eliminate x's in number 8, we have to multiply one of the equations by -1
let's multiply the second one
4x+3y=6
4x ·-1-y·1=2·-1
4x+3y=6
-4x+y=-2
x's eliminate
4y=4, meaning that the answer is C
What Is the coordinates for this translation 6 units left and 3 units down......
Answer:
Step-by-step explanation:
I will give brainliest who ever answer this question:) Thank you!
Answer:
2(x-4)+2(2x+5)
Step-by-step explanation:
The perimeter of a rectangle is 2(length)+2(width). Thus, the side values can be simply plugged into this equation.
Answer:
P = 2(2x+5) + 2(x-4)
Step-by-step explanation:
Perimeter is found by adding all sides
(2x+5) + (2x+5) + (x-4) + (x-4)
Notice there are two sets of sides.
E
Rrrrrrrerererererererere
Answer:ssssssssssuuuuuuupp
Step-by-step explanation:
Insurers use a process of selecting and classifying insurance applicants to prevent individuals who have a higher-than-average probability of loss from obtaining insurance at average rates. This process is called
Answer:
This process is called
Producing. underwriting.
Step-by-step explanation:
mia picked 1 cup of strawberries for a cake which is enough for 3/4 of the cake how many cups does she needs for the whole cake
Answer:
to make the full cake the strawberries required will be (4/3) cups.
Step-by-step explanation:
For the given data set; 2, 5, 7, 9, 11, 15 , 17 find the range.
Identify the range of the function shown in the graph
Answer:
a
Step-by-step explanation:
i’m not to sure what to do here.. can someone help? this assignment is 20 points!
after a tourist covers 36% of the lenght of a route, he notices that he still has 240 km to park. What is the length of the route?
Answer:
375km
Step-by-step explanation:
The tourist has already covered 3% of the journey.
So the remaining distance to be covered is 64% f the total journey.
(100% - 36% = 64%)
Therefore 64% of the journey = 240km
Then 100% of the journey:
y km --> 100%
240 km --> 64%
Total length of the route = 240 km * (100/64) = 375km
In an arithmetic sequence, the third term is 1 and the ninth is 49. What is the explicit formula for the sequence?
A) a n = 8n − 15
B) a n = −8n − 15
C) a n = 8n − 23
D) a n = −8n − 23
Answer:
C
Step-by-step explanation:
A) a(n) = 8n - 15
this is incorrect because if n = 3, then a = 9 not 1.
B) a(n) = -8n-15
this is incorrect because if n = 3, then a = -39 not 1.
C) a(n) = 8n-23
this is correct because if n = 3, then a = 1, and if n = 9, then a = 49.
D) a(n) = -8n-23
this is incorrect because if n = 3, then a = -47 not 1.
Hope this helps!
Also, please mark me as brainliest!
HELPPP!!! BRAINLEST??
Answer:
1/3
Step-by-step explanation:
1 cup and 6 hours (5) over total (15)
5/15 simplifies to 1/3
please help, don’t know how to do this
Answer:
-3=-2 -2=-1 -1=0 0=1 1=2 2=3 3=4
Step-by-step explanation:
You add one to each of the listed numbers due to the question being x+1 so you take all of your x´s and add one raising their amount up by 1
pl.z hel..p m.e Si r
mat.h geom.etry ques.tion....
[tex]\\ \rm\Rrightarrow 7x+10+3x+10=180[/tex]
[tex]\\ \rm\Rrightarrow 10x+20=180[/tex]
[tex]\\ \rm\Rrightarrow 10x=160[/tex]
[tex]\\ \rm\Rrightarrow x=16[/tex]
Now
z=7x+10=7(16)+10=112+10=122°y=3x+10=3(16)+10=48+10=58°Answer:
y = 58°
z = 122°
Step-by-step explanation:
Linear pair: a pair of adjacent angles formed when two lines intersect. The two angles are always supplementary and so their measures sum to 180°.
Therefore,
(7x + 10) + y = 180
(3x + 10) + z = 180
Alternate interior angle theorem: when 2 parallel lines (AB and CD) are cut by a transversal (EF), the resulting alternate interior angles are equal.
Therefore,
y = (3x + 10)
z = (7x + 10)
Substituting y = (3x + 10) into (7x + 10) + y = 180 and solving for x:
⇒ (7x + 10) + (3x + 10) = 180
⇒ 10x + 20 = 180
⇒ 10x = 160
⇒ x = 16
Calculate angle y and angle z by substituting the found value for x into their equations:
y = 3(16) + 10 = 58°
z = 7(16) + 10 = 122°
Answer and you worlds smartiest.
Answer:
A.
Step-by-step explanation:
By using elimination, you get 0 = 1, which isn't a solution.
Let me know if this helped, brainly is appreciated <3
Answer:
The first answer choice (3x + y = 8 and 3x + y = 9)
Step-by-step explanation:
You can't have 3x + y equal 8 and 9.
It must only be 1 value.
please answer B and C for me, i already know A.
Use the information below to answer 1–3.
Three students are playing a video game. Each player is randomly
assigned a character from a collection of characters that includes
5 blue, 6 green, and 3 red characters. After each character is picked,
it is not replaced in the collection.
A. What is the probability that the first player does not get a blue character?
B. The first player gets a blue character. What is the probability that the
second player also gets a blue character?
C. Both the first and second players get blue characters. What is the
probability that the third player does not get a blue character?
Answer: B: 4/13, C: 3/4
B:
There were originally a total of 14 characters (including 5 blue characters) from the collection. Since the first player got a blue character, there are now 13 characters to choose from and 4 of them are blue. Therefore, the probability is 4/13.
C: If both the first and second players get blue characters, then there will be 12 characters left, and 3 of them are blue. Now we know that there are 9 characters that are NOT blue. Therefore, the probability is 9/12, or 3/4.
X=1 and x=3 write the quadratic equation
x2^-3x+1
Step-by-step explanation:
All you have to do is the 3 Forms of Quadratic Equations
Standard Form: y = a x 2 + b x + c y=ax^2+bx+c y=ax2+bx+c.
Factored Form: y = a ( x − r 1 ) ( x − r 2 ) y=a(x-r_1)(x-r_2) y=a(x−r1)(x−r2)
Vertex Form: y = a ( x − h ) 2 + k y=a(x-h)^2+k y=a(x−h)2+k.
Can someone explain this question to me please
Replace x in y in the equation and see if it is true:
5x + 3y = -4
5(-5) + 3(7) = -25 + 21 = -4
(-5,7) is a solution
5(1) + 3(-3) = 5 + -9 = -4
(1,-3) is a solution
If x = 9 and y = -3, evaluate the following expression: = 6x - 8y
Answer: 78
Step-by-step explanation:
Step 1:
Substitute the variables in:
6(9) - 8(-3)
Step 2:
Multiply to get rid of the parentheses:
54 - -24 = 54 + 24 (the two negatives cancel out)
Step 3:
Add, and then you're done:
54 + 24 = 78
hope this helps :)
1. Lennox is in NYC and has $10 to get to his destination. The taxi charges $0.75 per mile with
a flat fee of $2.35. How many miles can he travel
Answer:
(10-2.35)/.75 =10.2 miles.
Step-by-step explanation:
Re-write the quadratic function below in Standard Form
y = 2(x – 5)2 – 3
Answer:
y=2x-13
Step-by-step explanation:
PEMDAS
Distribute parenthesis --> y=2x-10-3
Add like numbers --> y=2x-13
Pls help!
Find the perimeter and area the figure.
last question i Promise! :)
Answer:
Perimeter: 37.4
Area: 74.1
Step-by-step explanation:
Perimeter is 2(5.7) + 2(13) = 11.4 + 26 = 37.4
Area is 5.7*13 = 74.1
Let me know if this helped! Brainliest is appreicated <3
sean had 40 red marbles and 36 green marbles.he won some more red marbles and the number of green marbles is now 2/5 of sean total marbles. how many red marbles did he win
Answer:
14
Step-by-step explanation:
*Notice that number of green marbles did not change throughout
Therefore,
36 green marbles -> 2/5 of Sean total marbles
Sean's total marbles = 36/2 *5 = 90
Number of red marbles won = 90-36-40 = 14
What is the y-value when x equals-12? y=-200 - 6(x)
Step-by-step explanation:
y= -200 - 72
y= -272
because -a - b = -x
this is a formula
Multi-Step Find the angle measures of each inscribed quadrilateral.
10-13 20 points please help
The angle measure of each inscribed quadrilateral is as follows;
10
∠P = 90°
∠R = 90°
∠Q = 140°
∠S = 40°
11.
∠A = 70°
∠C = 110°
∠ B = 115°
∠D = 55°
12.
∠B = 100°
∠D = 80°
∠E = 141°
∠C = 39°
13.
∠V = 101°
∠T = 79°
∠U = 86°
∠W = 94°
Cyclic Quadrilateral
A cyclic quadrilateral has all it vertices on the circumferences of the circle . opposite angle of a cyclic quadrilateral add up to 180 degrees. The sum of the whole angles add up to 360 degrees. Therefore, tha angle measure of each inscribed quadrilateral is as follows
10.
5x + 20 + 7x - 8 = 180
12x + 12 = 180
12x = 180 - 12
12x = 168
x = 168 / 12
x = 14
Therefore,
∠P = 5x + 20 = 5(14) + 20 = 90°∠R = 90°∠Q = 10x = 10(14) = 140°∠S = 40°11.
4z - 10 + 10 + 5z = 180
9z = 180
z = 20
Therefore,
∠A = 4z - 10 = 4(20) - 10 = 70°∠C = 110°∠ B = 6z - 5 = 6(20) - 5 = 115°∠D = 55°12.
1 / 2 z + 1 / 4 z + 30 = 180
3 / 4 z + 30 = 180
3 / 4 z = 150
3z = 600
z = 600 / 3
z = 200
Therefore,
∠B = z / 2 = 200 / 2 = 100°∠D = z / 4 + 30 = 200 / 4 + 30 = 80°∠E = z - 59 = 200 - 59 = 141°∠C = 39°13.
15y - 4 + 12y - 5 = 180
27y = 180 + 9
y = 189 / 27
y = 7
14 + 4x + 6x - 14 = 180
10x = 180
x = 18
Therefore,
∠V = 15y - 4 = = 101°∠T = 79°∠U = 14 + 4x= 14 + 72= 86°∠W = 94°learn more on quadrilateral here: https://brainly.com/question/9177423