Answer:
The volume of the kiosk is 72 m³.
Step-by-step explanation:
The volume of the kiosk is given by the sum of the volume of a cylinder ([tex]V_{cy}[/tex]) and the volume of a cone ([tex]V_{c}[/tex]):
[tex] V = V_{cy} + V_{c} = \pi r^{2}h_{cy} + \frac{1}{3}\pi r^{2}h_{c} [/tex]
Where:
r: is the radius of the cylinder and the cone = d/2 = 5/2 = 2.5 m
d: is the diameter = 5 m
[tex]h_{cy}[/tex]: is the height of the cylinder = 3 m
[tex]h_{c}[/tex]: is the height of the cone = 2 m
Hence, the volume is:
[tex] V = \pi (2.5 m)^{2}(3 m + \frac{1}{3}*2 m) = 72 m^{3} [/tex]
Therefore, the volume of the kiosk is 72 m³.
I hope it helps you!
the measure of the supplement of an angle is 39° more then the angle. find the measure of the angle and it’s supplement.
Step-by-step explanation:
s = a+39
s+a = 180
a+39+a = 180
2a = 180-39
2a = 141
the angle = 70.5°
the supplement = 109.5°
One of the legs of a right triangle measures 1 cm and its hypotenuse measures 20 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.
Answer:
[tex]\sqrt{399}[/tex] or 19.97 but if you round to nearest tenth it is 20
Step-by-step explanation:
using the Pythagorean theorem of [tex]a^{2} +b^{2} =c^{2}[/tex]
substitute the values of 1 for a, leave b since we do not know it, and 20 for c.
So we have
[tex]1^{2}+b^{2}=20^{2}\\1+b^{2}=400\\[/tex]
Solve for b,
[tex]b^{2}=399\\b=\sqrt{399}[/tex]
Answer:
20
Step-by-step explanation:
a^2+b^2=c^2
1^2+b^2=20^2
1+b^2=400
-1 -1
b^2=399
then take the square root of both and get 19.97498436
and after that, u round to the nearest 10th and get 20
hope this helps
What is the length of a diagonal of a rectangle 9m long and 5m wide?
Add the following complex numbers:
(4-2i) + (12 + 7i)
O A. -8 + 9i
O B. 16 + 9i
O C. 16 + 5i
O D. -8 + 5i
Answer:
option c
Step-by-step explanation:
(4 - 2i) + (12 + 7i)
multiply the brackets first
4 - 2i + 12 + 7i
combine like terms
16 + 5i
Answer:
O C. 16+5i
Step-by-step explanation:
=(4+12) + (7i-2i)
=16+5i
If k = -18 and m = 7, what is m - k?
Submit
Answer:
5
Step-by-step explanation:
Evaluate and substitute:
Sqrt of 7 - (-18)
Sqrt of 7 + 18 = 25
Sqrt of 25 = 5
Therefore, our answer!
Hope this helps, best of luck! :p
2. Your distant family has invited you to stay at the farm with them this summer.
Congrats! Your first task is to repaint the old silo. The radius of the silo is 15 feet. How
much area will you need to cover with your paint?
24 karat gold is 100% gold. How pure is 8 karat gold?
Answer:
branllest if right
60%
Step-by-step explanation:
Answer:
Your answer is 33.3% as 8 goes into 24 3 times, then 100 - 33.3(repeating)% should equal 100 percent
Step-by-step explanation:
All you have to do is divide 8/24, and convert it into a percent, by moving the decimal twice to the right.
Need help, please help me ASPA!!!
Answer:
35 degrees
Step-by-step explanation:
What is the total surface area of the square pyramid?
Answer:
D
Step-by-step explanation:
[tex]A_1 = a^2 = 14^2 = 196[/tex]
[tex]A_2 = 4(\frac{b * h}{2}) = 4(\frac{14 * 12}{2}) = 4(\frac{168}{2}) = 4 * 84 = 336[/tex]
[tex]SA = A_1 + A_2 = 196 + 336 = 532\ cm^2[/tex]
PLEASE HELP!
*multiple choice*
Answer:
∠B, ∠A, ∠C
Step-by-step explanation:
The largest angle will have the largest side length and vice versa.
Hi. the answer should be E. B A C
hope this helps!
In a certain video game, players earn bonus points after finishing a
level. The number of bonus points is based on how many seconds, t,
it takes the player to finish the level. The game uses the expression
-5.5 + 500+ 0.9t + (1 - 1.9t to determine the number of bonus points. .
Zahara finishes a level in 201 seconds. How many bonus points does she earn?
Answer:
If Zahara finishes a level in 201 seconds, she earns:
294.5 pointsStep-by-step explanation:
To identify the number of points that Zahara obtained when she finished a level in 201 seconds, you must use the given expression:
-5.5 + 500+ 0.9t + (1 - 1.9t)Where:
t = time in seconds.As Zahara took 201 seconds to finish a level, we're gonna replace this value in the equation:
-5.5 + 500+ 0.9t + (1 - 1.9t)-5.5 + 500+ 0.9(201) + (1 - 1.9[201]) (we're not use the unit "seconds", because we don't need it in this calculation)-5.5 + 500+ 180.9 + (1 - 381.9)-5.5 + 500+ 180.9 - 380.9 (You can organize the numbers is you want)500 + 180.9 - 380.9 - 5.5294.5 pointsAs you can see, Zahara obtains 294.5 points if she finishes the level in 201 seconds.
Hi there. May you please help if you can!
A(-4, 1), B(1, 5), C(4, -3), and D(-2, -3) are the vertices of a quadrilateral. Determine the coordinates of the image vertices after each transformation of ABCD. a) a reflection in the x-axis b) a reflection in the y-axis c) a rotation of 180° cw about the origin d) a rotation of 270° cw about the origin
Show your work
Answer:
hello brother or sister can you please send a picture of the graph in provided but if not there are no specific calculations on reflection so you have to be smart on it and try imagining it or have your own scratch
PLEASE HELPP
64, 16, 4, 1 converging or diverging
Answer:
The series 64, 16, 4, 1 is convergent.
Step-by-step explanation:
Let be [tex]\{x_{1}, x_{2},...,x_{n}\}[/tex] the set of values of the series. A series is convergent if and only if:
[tex]\frac{x_{i + 1}}{x_{i}} < 1, \, \forall\,i\in \mathbb{N}[/tex] (1)
If we know that [tex]x_{1} = 64[/tex], [tex]x_{2} = 16[/tex], [tex]x_{3} = 4[/tex] and [tex]x_{4} = 1[/tex], then the convergence ratio of each pair of consecutive values are, respectively:
[tex]\frac{x_{2}}{x_{1}} = \frac{1}{4}[/tex], [tex]\frac{x_{3}}{x_{2}} = \frac{1}{4}[/tex], [tex]\frac{x_{4}}{x_{3}} = \frac{1}{4}[/tex]
Hence, the series 64, 16, 4, 1 is convergent.
Factor the following expression.
12x2 + 22x + 8
Answer:
The answer is 2(23x+4).
What is point A on the coordinate plane
Answer:
4,1
Step-by-step explanation:
Answer:
(4,1)
Step-by-step explanation:
Ez
Wats the volume of this prism
Naomi requires 2.75 pounds of cream cheese for a cake. She has 4 ounces of cream cheese. Cream cheese is available in the store in blocks. Each block is 8 ounces. What is the minimum number of blocks of cream cheese Naomi has to buy? (1 point) 3 4 5 6
Answer:
5
Step-by-step explanation:
1 pound = 16 ounces
total ounces needed = 2.75 x 16 = 44 pounds
Ounces of cake she needs = 44 - 4 = 40
Minimum blocks needed = ounces needed / ounces of each block
40 / 8 = 5
Select the rule for each piece. Rule for piece 1: Rule for piece 2:
Answer:
Rule for piece 1: y=-x
Rule for piece 2: y=1
Rule for piece 3: y = 2-x
Step-by-step explanation:
Pam is placing a bird feeder in a tree in her back yard. She first needs to put up a 10-inch wooden platform in the fork of two tree branches that make a 52° angle, as shown below. What equation can Pam use to determine xthe distance up the tree trunk from the fork at she should drill attach the platform?
Answer:
[tex]x = \frac{10}{\tan(52^o)}[/tex]
Step-by-step explanation:
Given
See attachment for illustration
Required
Equation to find x
The relationship between angle [tex]52^o[/tex] and side lengths x and 10 inches is by tangent formula which is given by:
[tex]\tan(\theta) = \frac{Opposite}{Adjacent}[/tex]
So, we have:
[tex]\tan(52^o) = \frac{10}{x}[/tex]
Make x the subject
[tex]x = \frac{10}{\tan(52^o)}[/tex]
Please HELP ME ITS DUE IN A COUPLE OF MIN!!!
Fruits and vegetables are a great source and insoluble ________,which helps detoxify the body and in doing so helps prevent against cancer,diabetes and cardiovascular disease.
A.protein
B.fat
C.fiber
D. sugar
Answer Please
...................................................................
Answer:
Step-by-step explanation:
In rectangle , diagonals are equal and bisect each other.
FI = EI
6x - 5 = 2x + 7 {subtract 2x from both side}
6x - 2x -5 = 7
4x - 5 = 7 {Add 5 to both sides}
4x = 7 +5
4x = 12 {Divide bot sides by 4}
x = 12/4
x = 3
EI = 2x + 7 = 2*3 +7 = 6 +7
EI = 13 units
EG = 2 *EI = 13 * 2
EG = 26 units
ΔFIG is an isosceles triangle.
∠IGF = ∠IFG = x
x + x + 120 = 180 {Angle sum property}
2x + 120 = 180 {Subtract 120 form both sides}
2x = 180 - 120
2x = 60
x = 60/2
x = 30
∠IGF = ∠IFG = 30
EH // FG and FH is transversal.
∠IHE = ∠IFG {Alternate interior angles}
∠IHE = 30°
A hiker is descending 152m every 8 minutes what will be hikers change in elevation in half an hour? what as an integers
Answer:
570 meters
Step-by-step explanation:
[tex]\frac{8}{152} :\frac{30}{y}[/tex]
y × 8 = 152 × 30
8y = 4560
8y ÷ 8 = 4560 ÷ 8
y = 570
Solve 7x-c=k for x
...........
Answer:
The value of x in given question will be [tex]x=\frac{k+c}{7}[/tex]
Step-by-step explanation:
Given data:
7x-c=k
Now,
7x-c=K
7x=K+c
[tex]x=\frac{k+c}{7}[/tex]
Therefore,
The value of x in given question will be : k+c/7
BRANLIEST FOR CORRECT ANSWER ASAP
Complete the statement about the tables below. Then, choose a rule for each.
x y
0 5
1 7.5
2 11.25
This table represents a(n)
relationship.
Rule:
x y
0 -6
1 12
2 30
This table represents a(n)
relationship.
Rule:
Answer:
Step-by-step explanation:
First rule:- Each value of y after the first one is obtained by multiplying the previous value by 1.5, ( Note 11.25 / 7.5 = 1.5 and 7.5 / 5 = 1.5).
The relationship is : a(n) = 5 * 1.5^(n-1)
Second Rule:- Note:- 12 - (-6) = 18 and 30 - 12 = 18. So we add 18 to get the next term in this rule.
Relationship is : a(n) = -6 + 18(n - 1).
-4х + 5y=— 28
4x – 3y = 20
I hope it's correct and it helps I don't know how to explain it lol
Given the numbers 24 and 18 as legs of a right triangle, what is the length of the hypotenuse? Round your answer to the nearest tenth (1 decimal place)
Total area of composite figure
Answer:
Hello! answer: 99 units2
Step-by-step explanation:
9 × 6 = 54 9 × 10 = 90 90 ÷ 2 = 45
54 + 45 = 99 therefore the area is 99 units2 hope that helps!
.
What is the solution set of 4x = y and 2x - y=0
Answer:
x = 0 , y = 0
Step-by-step explanation:
given:
[tex]4x = y \\\\2x - y = 0\\\\Substitute \ y\ =\ 4x\ in \ second \ equation :\\2x - 4x = 0\\\\-2x = 0\\\\x = 0, \\y = 0[/tex]
HELP ASAP- IF YOU ARE CORRECT I WILL MARK BRAINLY
The Answer is:
B) -3/2
Helppp plzzzzz pointttttts
Answer:
AD & BE
Step-by-step explanation:
1) AB+BD = AD
2)BC+CE = BE
