Answers
Given:
Height of a cone is 30cm, its slant height is 34 cm.
To find:
The radius of the cone.
Solution:
Using the Pythagoras theorem, the relation between Height, radius and slant height is
[tex]r^2+h^2=l^2[/tex]
[tex]r^2=l^2-h^2[/tex]
Where, r is radius, h is height and l is the slant height.
Putting the given values, we get
[tex]r^2=(34)^2-(30)^2[/tex]
[tex]r^2=1156-900[/tex]
[tex]r^2=256[/tex]
Taking square root on both sides.
[tex]r=\pm\sqrt{256}[/tex]
[tex]r=\pm 16[/tex]
Radius cannot be negative. So, r=16 cm.
Therefore, the correct option is b.
Related Questions
math work pls help :)
Answers
if triangle dgh is congruent to triangle def find the value of x
Answers
Answer:
x = 25
Step-by-step explanation:
[tex] \triangle DGH\sim\triangle DEF... (given) [/tex]
[tex] \frac{DG}{DE} =\frac{GH}{EF} [/tex]
[tex] \frac{52}{91} =\frac{x+3}{2x-1} [/tex]
[tex] \frac{4}{7} =\frac{x+3}{2x-1} [/tex]
4(2x - 1) = 7(x + 3)
8x - 4 = 7x + 21
8x - 7x = 21 + 4
x = 25
which one is right, i need to knowwwwwwwwwwwwwwwww!!!!!!!!!!!!!!!!!!!1
Answers
Answer:
what is the question?
Step-by-step explanation:
lol
Solve the system by substitution.
4x + 7y = -41
x = y + 5
Answers
Answer:
x=-6/11, y=-61/11. (-6/11, -61/11).
Step-by-step explanation:
4x+7y=-41
x=y+5
-----------------
4(y+5)+7y=-41
4y+20+7y=-41
11y=-41-20
11y=-61
y=-61/11
x=-61/11+5=-61/11+55/11=-6/11
8x=2 what is the value ofx
Answers
Answer:
x=0.25
Step-by-step explanation:
8x=2
4x=1
4x÷4=1÷4
x=0.25
I need help with this question
Answers
Answer:
A
Step-by-step explanation:
Answer:
Step-by-step explanation:
4 and -1 are y-intercepts. Then based off of those points, find the next coordinate points by using the given slope. I do not see the correct answer in any of the options. You may have one not included in the image. If so, look at the image below.
An African elephant weighs 2 tons. How many pounds are in a herd with 26 elephants? Note: 1 ton = 2,000 pounds
Answers
Answer:
the answer is 104,000
Step-by-step explanation:
because if an elephant is two tons and 1 ton is 2000 lbs then you know that each elephant is 4000 lbs so then you have to multiply 4000 by 26 wich gives you 104,000
Step-by-step explanation:
2tons multiplied by 1 elephant will give is=4000
26*4000=104000
a herd of elephant weighs 52000 pounds
please mark brainiest thank you
Which pairs of expressions are equivalent?
Quick
Answers
Answer:
a
Step-by-step explanation:
Answer:
its A.
Step-by-step explanation:
Bc i just did it
.Does the graph below represent a function?
Explain how you know. Hint: Vertical line Test
Answers
which single transformation could be applied to the rectangle below to create a rectangle that is similar but not congruent
A. Rotation
B. Dilation
C. Reflection
D. Translation
Answers
Answer:
B
Step-by-step explanation:
Dilations are the only transformations in which the shape is changed.
Question 3 (1 point)
A cylinder has a radius of 13 feet and a
height of 28 feet. Which statement about
the cylinder is not true?
a
The circumference is about 82 ft.
The area of one base is about 531 ft2
ОООО
The lateral area is about 2,286 ft?
The total surface area is about 2,818 ft?
Question 4 (1 nointi
Answers
Step-by-step explanation:
The radius of a cylinder, r = 13 feet
Height of the cylinder, h = 28 feet
The circumference of the cylinder is given by :
[tex]C=2\pi r\\\\=2\pi \times 13\\\\=81.68\ ft\\\\C=82\ ft[/tex]
The area of one base is given by :
[tex]A=\pi r^2\\\\=\pi \times 13^2\\\\=530.92\ ft^2\\\\=531\ ft^2[/tex]
The lateral area of the cylinder is given by :
[tex]A=2\pi r h\\\\A=2\pi\times 13\times 28\\\\A=2287.07\ ft^2[/tex]
Total surface of the cylinder is given by :
[tex]A=2\pi r h+2\pi r^2\\\\=2287.07+2\pi \times (13)^2\\\\=3348.92\ ft^2[/tex]
The total surface area of the cylinder is not matched with the given data. Hence, option (4) is not correct.
Which expression can you substitute in the indicated equation to solve the system below 5x+y =8 x+4y=2
Answers
Answer:
x = 1.58 and y = 0.105
Step-by-step explanation:
Given equations are :
5x+y =8 ...(1)
x+4y=2 ...(2)
Multiply equation (2) by 5.
5x+20y=10 ..(3)
Subtract equation (1) from (3).
5x+20y-(5x+y) = 10-8
5x+20y-5x-y = 2
19y = 2
y = 0.105
Put the value of y in equation (2).
x+4(0.105)=2
x = 2-0.42
x = 1.58
Hence, the values of x and y are 1.58 and 0.105.
HELP ASAP!!
1. Consider the sequence
4, -12, 36, -108
Part A: Identify whether the function is an arithmetic sequence or a geometric
sequence and justify your answer.
Part B: Write an explicit formula that could be used to find any term in the
sequence.
Part C: Write a recursive formula for the sequence.
Part D: What is the 9th term in the sequence?
Answers
Answer:
[tex] \underline{\boxed{Part \: A}}: \\ \: \\the \: function \: is \: a \: \boxed{ geometric \: sequence} \\ \\ \underline{\boxed{Part \: B}}: \\\boxed{T_n = a( {r})^{(n - 1)}} \\ \\ \underline{\boxed{Part \: C}}: \\ \boxed{T_4 = T_3( { - 3})^{(1)}} \\ \\ \underline{\boxed{Part \: D}}: \\ \boxed{ T_9 = 26,244}[/tex]
Step-by-step explanation:
[tex] \underline{\boxed{Part \: A}}: \\ \: \\the \: function \: is \: a \: \boxed{ geometric \: sequence} \\ this \: due \: to \: their \: common \: ratio (r)= \boxed{- 3} \\ \\ \underline{\boxed{Part \: B}}: \\ \\ let \: the \: required \: term \: be \to \: T_n \\ let \: the \: first \: term \: be \to \: a \\ let \: the \:common \: ratio \: be \to \: r \\ hence : \boxed{T_n = a( {r})^{(n - 1)}} \\ where \: n \: is \: the \: number \: of \: term. \\ \\ \underline{\boxed{Part \: C}}: \\ let \: the \: required \: term \: be \to \: T_4 \\ hence : \boxed{T_4 = T_3( { - 3})^{(1)}} \\ \\ \underline{\boxed{Part \: D}}: \\if \: a = 4 : r = ( - 3) : n = 9 \\ hence : \boxed{T_9 = 4( { - 3})^{(9 - 1)}} \\ hence : \boxed{T_9 = 4( { - 3})^{(8)}} \\T_9 = 4( 6,561) \\ \boxed{ T_9 = 26,244}[/tex]
can someone help me with this real quick?
Answers
Answer:
11. A) 6x = 13
Step-by-step explanation:
11. Subtract 10 from both sides to make it equal 6x=13
12. For #12... None of the answers seem right? If you distribute and subtract, it should be
-4x + 44 = 66 then
-4x = 22...
Sorry if this didn’t help much, I know that 11 is right though ;)
The hypotenuse of a right triangle is 13 inches long. The shorter leg is 7 inches shorter than the longer leg. Find the side lengths of the triangle.
Answers
Answer:
5 and 12 inches
Step-by-step explanation:
Let the shorter leg be x.
13²=x²+(x+7)²
169=x²+x²+14x+49
169=2x²+14x+49
120=2x²+14x
120=2x(x+7)
60=x(x+7)
60=x²+7x
x=5
shorter length=5, longer length=12
uHhhhhHHHhHhHhHh heLp?
Answers
Answer and Step-by-step explanation:
Use the Pythagorean theorem to solve.
Plug in the value 5 for a, and 6 for b. c will stay as c.
[tex]a^{2}+ b^{2}= c^{2} \\\\\\5^{2}+6^{2}= c^{2} \\\\\\25 + 36= c^{2} \\\\\\61 = c^{2} \\\\\\\sqrt{61} = c[/tex]
5 squared is equal to 25, and 6 squared is equal to 36.We add those together to get 61.
We then square root both sides of the equation to get c by itself, resulting in the square root of 61.
The square root of 61 becomes 7.810249676
c = 7.8102
To check, you would multiply that number by itself, then you will get 61. With the rounded version, you would get close to 61.
If you got 7.08 as an answer, then multiplying it by itself results in 50.1264, which isn't close to 61.
#teamtrees #PAW (Plant And Water)
The graph shows the number of cycles of a crosswalk signal during the day and during the night.
Answers
Answer:
Step-by-step explanation:
a). Since, both the lines are passing through origin (0, 0) y-intercept of the lines are zero.
For day periods,
Let the equation is, y = mx
Since, this line passes through (2, 80),
80 = 2m
m = 40
Therefore, equation for the day periods will be,
y = 40x
For night periods,
Let the equation is, y = mx
Since, this lines passes through (3, 90),
90 = 3m
m = 30
Therefore, equation of the line is,
y = 30x
b). For x = 6 hours,
Number of cycles in the day (y) = 40 × 6 = 240
Number of cycles in the night (y) = 30 × 6 = 180
Therefore, difference in the cycles in day and night = 240 - 180 = 60
1) Robert takes 10 days more than Peter to complete a job. If they work together they will
complete the job in 12 days. How long will Peter alone take to finish the job?
Answers
Answer:
2 days
Step-by-step explanation:
think about it it's simple math I'm in 7 th grade easy
?
?
?
?
?
?
?
?
?
90 balls
10%
20%
30%
40%
50%
60%
70%
80%
90%
100%
Answers
10 % = 9 balls
20 % = 18 balls
30 % = 27 balls
40 % = 36 balls
50 % = 45 balls
60 % = 54 balls
70 % = 63 balls
80 % = 72 balls
90 % = 81 balls
100 % = 90 balls
Hope that helps!
Which fraction is equivalent to 2/34 ? A 11/2 B 11/3 C 11/4 D 11/12
Answers
Answer:
C. 11/4
Step-by-step explanation:
We can make 2 into fourths: in one whole there are 4 fourths so in two wholes there are 8 fourths.
Then add the 3/4 to the 8/4 and we get 11/4.
C. 11/4
giving brainliest do 2 and 3
Answers
Answer:
2. (5, -7)
3. (-6, 5)
Step-by-step explanation:
Answer:
The answers are uploaded in pictures
Use the equation below to find y, if m=11, x=2, and b=5.
y=mx-b
Y=
Answers
Here is my answer, hope to help you.
Answer Please !
Choose The Correct Reason
{Answer Boxes are similar to all questions :
A: Base angles of an isosceles triangle are congruent
B: Given
C: Def. of an isosceles triangle
D: AA Similarity Theorem
E: Substitution property}
(Question 1 )
Reason 1
(Question2)
Reason 2 < type you’re answer From Answer Boxes>
(Question 3)
Reason 3
(Question 4)
Reason 4
(Question 5)
Reason 5
(Question 6)
Reason 6
Answers
PLEASE HELP.. A LOT OF POINTS GIVEN!! JUST PLEASE GIVE ME THE RIGHT ANSWER.
Question 1 :
The graph of f(x)=x2 was transformed to create the graph of g(x)=(x−4)2.
Which statement describes this transformation?
A) a horizontal shift to the right 4 units
B) a horizontal shift to the left 4 units
C) a vertical shift up 16 units
D) a vertical shift down 16 units
Question 2 :
The graph f(x)=x2 was transformed to create the graph g(x)=−(x2)2.
Which statement describes this transformation?
A) a reflection over the y-axis and a vertical stretch
B) a reflection over the x-axis and a horizontal stretch
C) a reflection over the x-axis and a vertical stretch
D) a reflection over the y-axis and a horizontal stretch
Answers
Answer:
A) a horizontal shift to the right 4 units
Step-by-step explanation:
As you can see in the image we simply went 4 unites to the right.
pls help me!! this is trig. and its very confusing i cant fail!! i will mark brainliest
Answers
Answer:
too blury I can't see can you make another?
the school store has1200 pendls in stock and sells and sells an average of 25 pencils per day the manager reorders when the number of pencils in stock in 650
Answers
Answer:
Number of pencils in stock = 1200
Average number of pencils sold by the manager per day = 24
Number of pencils that would be sold before reordering = 1200 - 500
= 700
Then
The number of days after which the manager will reorder = 700/24
= 29.16
So the manager has to reorder after about 30 days. Since the answer comes in fraction of more than 29 days, so it has to be 30 days. I hope the procedure is clear for your understanding.
Just to be clear, this answer is not mine, but I remember seeing this question so I just copied someones' answer. Still, you might find this helpful.
Here is the original https://brainly.com/question/955219
Are the two triangles similar? How do you know?
Answers
Answer:
Yes the triangles are similar.
if you look at Angle C it's 60° and F is also 60°
60 + 67 is 127
127 + 53 is 180° which is the amount a triangle is. (assuming that E is 67°)
Similar triangles may or may not be congruent triangles.
The two triangles are similar.
From the figure, we have:
[tex]\mathbf{\angle F \cong \angle C = 60}[/tex] ----- Angles F and C are corresponding
[tex]\mathbf{\angle D \cong \angle G = 53}[/tex] ----- Angles D and G are corresponding
[tex]\mathbf{\angle H \cong \angle E = 67}[/tex] ----- Angles H and E are corresponding
Add the above angles.
[tex]\mathbf{Sum = 60 + 53 + 67}[/tex]
[tex]\mathbf{Sum = 180}[/tex]
The sum of the angles equal 180 degrees,
Hence. the triangles are similar triangles.
Read more about similar triangles at:
https://brainly.com/question/14926756
math work pls help :)
Answers
Answer:
HL
Step-by-step explanation:
It is HL because they are right angles.
MULTIPLE CHOICE
What is your output when x is -5?
A. 1
B. -9
C. -1
D. 9
Answers
STEP BY STEP EXPLANATION
a-shifted 4 units right and 3 units up
B-shifted 3 units right and 2 units up
C-shifted 3 units right and 3 units up
D.shifted 2 units right and 3 units up .
PLS HELP!! ASAP
