Given:
Kiosk is the combination of a cylinder and a cone.
Diameter of cylinder and cone = 5 m
Height of the cylinder = 3 m
Height of the cone = 2 m
To find:
The volume of the kiosk.
Solution:
We know that the radius is half of the diameter. So,
Radius of cylinder and cone = [tex]\dfrac{5}{2}[/tex] m
= [tex]2.5[/tex] m
Volume of the cylinder is:
[tex]V_1=\pi r^2h[/tex]
Where, r is the radius and h is the height of the cylinder.
Putting [tex]\pi =3.14, r=2.5, h=3[/tex] in the above formula, we get
[tex]V_1=(3.14)(2.5)^2(3)[/tex]
[tex]V_1=(3.14)(6.25)(3)[/tex]
[tex]V_1=58.875[/tex]
Volume of a cone is:
[tex]V_2=\dfrac{1}{3}\pi r^2h[/tex]
Where, r is the radius and h is the height of the cone.
Putting [tex]\pi =3.14, r=2.5, h=2[/tex] in the above formula, we get
[tex]V_2=\dfrac{1}{3}(3.14)(2.5)^2(2)[/tex]
[tex]V_2=\dfrac{1}{3}(3.14)(6.25)(2)[/tex]
[tex]V_2\approx 13.083[/tex]
The volume of the kiosk is the sum of volume of cylinder and the volume of cone.
[tex]V=V_1+V_2[/tex]
[tex]V=58.875+13.083[/tex]
[tex]V=71.958[/tex]
[tex]V\approx 72[/tex]
Therefore, the volume of the kiosk is 72 cubic meter.
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This is Jovan’s solution for the equation x^2-8x-9=0:
x2 – 8x – 9 = 0
x2 – 8x = 9
x2 – 8x + 16 = 9 + 16
(x – 4)2 = 25
x – 4 = 25 and x – 4 = - 25
x = 29 and x = -21
Is Jovan’s solution correct?
Answer:
No, it's wrong
[tex] {x}^{2} - 8x - 9 = 0 \\ (x - 9)(x + 1) = 0 \\ x = 9 \: and \: - 1[/tex]
Answer:
NoStep-by-step explanation:
x² – 8x – 9 = 0 x² – 8x = 9 x² – 8x + 16 = 9 + 16 (x – 4)² = 25 x – 4 = 25 and x – 4 = - 25 ⇒ Incorrect, should be x - 4 = 5 and x - 4 = -5 x = 29 and x = -21 ⇒ Incorrect, should be x = 9 and x = -1Find the surface area of a cylinder with a height of 11 feet and base radius of 3 feet.
______ square feet
Answer:
the surface area is 263.76 feet²
hope this helps
have a nice day
9. Express 20% as a decimal and as a fraction.
An angle measures 97.2° less than the measure of its supplementary angle. What is the measure of each angle?
Answer:
41.4º
138.6º
Step-by-step explanation:
x + (x - 97.2) = 180
2x - 97.2 = 180
2x = 277.2
x = 138.6º
x - 97.2 = 41.4º
Please help me solve what was the original height of the post
Answer:
2.5 is the original height
Step-by-step explanation:
Hope this helps! :)
Ranking the correct answer brainliest !
Answer:
∠ 3 = 115°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ 3 is an exterior angle of the triangle, then
∠ 3 = ∠ 1 + ∠ 2 = 68° + 47° = 115°
Malachy and Paul win some money and share it in the ratio 2:1. Malachy gets £24 more than Paul. How much did they get altogether?
Step-by-step explanation:
How was Toto an expensive deal for grandfather? Do you think it
was a lesson for grandfather?
PLEASE HELP 50 points
Answer:
Scalene triangle [any side and angle are not equal]isosceles triangle [two side and two angle are equal]equilateral triangle [all sides and angle are equal]right angled isosceles triangle [having one angle 90° and two other side and two angle are equal]scalene triangleequilateral triangleright angled trianglescalene triangleright angled isosceles triangleright angled isosceles trianglescalene triangleisosceles triangleequilateral triangleright angled triangleright angled isosceles triangleisosceles trianglescalene triangleequilateral triangleright angled isosceles triangleisosceles triangleequilateral trianglescalene triangleisosceles triangleright angled isosceles triangleright angled triangleright angled isosceles triangleisosceles triangleThe green line below Check all that apply. A crosses the x axis B. is parallel to the x-axis O c. crosses the yaxis D D. crosses the origin I E. is in the xy plane D F is perpendicular to the yaxis
Answer:
a, c, d, e
Step-by-step explanation:
What is the inequality for this verbal description? The value of yis less than or equal to the sum of six times the value of x and three. IN O A. y56x+ 3 O B. ys 3x + 6 O c. yz 6x+ 3 O D. y: 3x + 6 SUBMIT
Answer:
y =< 6x + 3
you copypasta looks weird, but I would go for option c if i read this correctly
Now solve this equation for y. Remember the roller coaster is above ground, so you are only interested in the positive root.
Answer:
[tex]y = \sqrt{ 900 - x\²[/tex]
Step-by-step explanation:
In the complete question, the area of the roller coaster is:
[tex]x\² + y^2 = 900[/tex]
Required
Solve for y
We have:
[tex]x\² + y^2 = 900[/tex]
Subtract [tex]x\²[/tex] from both sides
[tex]y^2 = 900 - x\²[/tex]
Take positive roots of both sides
[tex]y = \sqrt{ 900 - x\²[/tex]
20 POINTS!
The time t required to drive a certain distance varies inversely with the speed r. If it takes 4 hours
to drive the distance at 50 miles per hour, how long will it take to drive the same distance at 40
miles per hour?
Answer:
1.78 hours
Step-by-step explanation:
If t varies inversely with the speed, the formula for that is t= \frac{k}{r} . If t = 2 and r = 40, then we can solve for k, the constant of variation. Multiply both sides by 40 to get k = 80. Now we need to find the value for t when r = 45. Using the k value we just solved for, we will fill in the equation as t= \frac{80}{45} for a t value of about 1.78 hours
Find the mode of the data.
Length (inches) of fish in tank:
2, 3, 1, 4, 5, 2, 2
Mode: [?] in.
Answer:
The mode is 2 in.
Step-by-step explanation:
The mode of a data set is the number that occurs most frequently in the set which in this case, this data is 2.
Hope this is helpful.
Classify the following triangle check all that apply
Answer:
Option E, Acute
Option F, Scalene
Hope this helps!
Answer:
Acute & Scalene
Step-by-step explanation:
This triangle has no equal sides. Therefore, it is scalene.
Moreover, this triangle has no angles greater than or equal to 90°. Therefore, it is also acute.
Use the measures of angle 4 and 7 to create
an equation and solve for x:
Equation:
X=
so Angle 4 =
degrees
Need help on these questions ASAP DUE TOMORROW PLEASE
9514 1404 393
Answer:
3) D
4) D
5) B
6) B
Step-by-step explanation:
3) A "Pythagorean triple" is a set of 3 integers that could be the sides of a right triangle. The only triangle shown with integer side lengths is choice D.
__
5) The only triangle for which the square of the hypotenuse is the sum of the squares of the other two sides is choice D.
11² +2² = (5√5)²
121 + 4 = 125
__
6) The lengths of sides of each right triangle are 2/3 of those of choice D in problem 4. That is, they are a 7-24-25 triangle, multiplied by 2. That means the height is 24·2 = 48, and the area is ...
A = 1/2bh
A = 1/2(28 m)(48 m) = 672 m² . . . . matches choice B
__
7) The side lengths of a 30-60-90 triangle have the ratios 1 : √3 : 2. That is, the short leg is half the hypotenuse, a fact stated in A and D. Those true statements make it clear that statement B is false.
Dominic took a 20-question online quiz. He received 5 points for every correct answer. For every
question he answered incorrectly, he lost 2 points. The quiz also had a 20-point bonus for
finishing in one hour or less. Since Dominic finished the quiz in less than one hour, his score S is
determined by x, the number of questions answered correctly.
Drag and drop expressions into the function to correctly define S(2).
Х
X + 20
X-20
20 - x
2
5
20
S(x) = 5
-2
+
Answer:
X+20=2 i think this is a little above my head
what is the correct answer
Answer:
The answer is A (8 inch)
Step-by-step explanation:
All if the sides and angles are the same.
Which choice is a correct equation for the line graphed below?
Please hurry!!!
Answer:
y = 3x + 1
Step-by-step explanation:
The y - intercept is +1
And the rise over run = 3/1 (because 3 is also 3/1)
Pictures are attached.
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
A) y=3x+1
1 is the y-intercept (it is on the y axis)
you start at the 1 on the graph where the line passes through, then go 3 squares up and 1 to the right to land on the line again. This is rise over run, which you rise 3 squares up from 1, then run 1 square to the right. 3/1 = 3
Of the 25 students who take a standardized test, the minimum score is 98 and the maximum score is 312. The mean score is 216. Standard deviation is 52. What is the number of standard deviations that includes all the data values?
Answer:
5
Step-by-step explanation:
so we can say that 5 standard deviations include all the data values.
Fifteen million four hundred and ten thousand five hundred
and sixty eight with commas
Dan is making a model volcano for the science fair. He wants an awesome eruption, so he
tries different amounts of baking soda and vinegar. First, he tries 2 tablespoons of baking
soda and 6 tablespoons of vinegar. Next, he tries 3 tablespoons of baking soda and 9
tablespoons of vinegar. Did Dan use the same ratio of baking soda to vinegar in both
eruptions?
yes
no
Answer:
Yes
Step-by-step explanation:
Dan used 2 and 6, and after 3 and 9. If you multiply 2×1.5 = 3, and 6×1.5 = 9, so the ratio is the same and is equal to 1.5
Answer:
Yes
Step-by-step explanation:
2/6 for the first ratio can be reduced to 1/3
3/9 for the second ratio can also be reduced to 1/3
What is the converse of the conditional statement?
If x is even, then x + 1 is odd.
If x is not even, then x + 1 is not odd.
O If x + 1 is odd, then x is even.
Olf x + 1 is not odd, then x is not even.
If x is even, then x + 1 is not odd.
Answer:
Step-by-step explanation:
it's b
Geometry
Introduction to chord lengths in a circle
Answer:
x is equal to 6
Step-by-step explanation:
in a circle the perpendicular from centre to any chord bisects the chord into 2 equal parts.
PLEASE HELP
IM BEGGING PLEASE
Lake Pyramid, Nevada is one of the best places in the connected 48 states to
catch trophy cutthroat trout. History shows that about 37% of guest catch a
cutthroat. Let X be a random variable that represents the first trip to Lake
Pyramid on which a guest catches a cutthroat. Let X be a random variable that
represents the first trip to Lake Pyramid on which a guest catches a cutthroat.
Find the probability that it takes the fisher no more than 4 trips to catch a
cutthroat. . *
If an event occurs 0 times (out of 4, in this case) then it does not occur at least once. So we can find the probability of it not occurring and then subtract that value from 1.
So, what are the chances of it not occurring in 1 trip?
1−.37=.63
What about not occurring in 2 trips?
(1−.37)⋅(1−.37)=.63⋅.63=.3969
Now what about not occurring in 4 trips?
.63^4 = 0.15752961
We must subtract this value from 1
(recall that what we just calculated is the probability of it not occurring, so the probability of it occurring at least once is:
1−0.15752961 = .84247039
TLDR - In 4 trips the chance of a guest catching a cutthroat once in under 4 trips in 0.84.
Given a polyhedron with 15 faces and 32 edges, how many vertices does it have
mama ate koya bonso tatay lola
Find the area of a parallelogram with a base of 12cm and a height of 5cm. Giving your answer in square meters
Use f(x) = 5x+2 and g(x)=x-3
to find (f+g)(x).
A 5x-1
B 5x^2-6
c 6x-1
D 6x+5
Answer:
d took test
Step-by-step explanation:
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A college cafeteria wants to know which lunch food is least popular. Which of the following groups should be interviewed to ensure that the survey results will not be misleading?
A. students who go out for lunch
B. students who bring their lunch
C. students who eat in the cafeteria
D. students’ families
Answer:
c. students who eat in the cafeteria
Step-by-step explanation:
it wouldnt help to include people who dont eat the food and therefore wont have an honest opinion about the food. They have to talk to the people who do eat the food, which are those who eat in the cafeteria
Does anyone know this one !??
Answer:
I can't see what this says
Step-by-step explanation: