Answer:
28043.3 [tex]m^{3}[/tex]
Step-by-step explanation:
Formula for volume of a hemisphere can be termed as:
[tex]V = \dfrac{2}{3} \pi r^{3}[/tex]
where [tex]r[/tex] is the radius of hemisphere
Please refer to the figure attached for the sample figure of a hemisphere.
We are given here, diameter of hemisphere = 47.5 m
Relation between diameter and radius is given as :
[tex]r = \dfrac{d}{2}[/tex]
where, [tex]r[/tex] is the radius and
[tex]d[/tex] is the diameter.
So, [tex]r = \dfrac{47.5}{2}\ m[/tex]
Volume is:
[tex]V = \dfrac{2}{3} \pi (\dfrac{47.5}{2})^3\\\Rightarrow \dfrac{2}{3} \times 3.14 \times (\dfrac{47.5}{2})^3\\\Rightarrow 28043.3\ m^3[/tex]
Hence, volume of given hemisphere is 28043.3 [tex]m^{3}[/tex].
Answer:
Step-by-step explanation:
What is the volume of a hemisphere with a diameter of 37.6 m, rounded to the of a cubic meter?
\text{Volume of a Sphere:}
Volume of a Sphere:
V=\frac{4}{3}\pi r^3
V=
3
4
πr
3
\text{radius} = \frac{\text{diameter}}{2} = \frac{37.6}{2}=18.8
radius=
2
diameter
=
2
37.6
=18.8
meters
\text{Plug in:}
Plug in:
\frac{4}{3}\pi (18.8)^3
3
4
π(18.8)
3
27833.1369876
27833.1369876
Use calculator
\text{Volume of Hemisphere HALF of Volume of Sphere:}
Volume of Hemisphere HALF of Volume of Sphere:
\frac{27833.1369876}{2}
2
27833.1369876
Divide volume by 2
13916.5684938
13916.5684938
\approx 13916.6\text{ m}^3
≈13916.6 m
3
Round to the nearest tenth
What’s the common denominator of 23/25 and 9/10
Answer:
50
Step-by-step explanation:
You find the common denominator by the LCM , which in this case is 50.
incase you did not understand LCM , am here to help.
which equation is the vertex form of y = 2x^2 + 16x + 26
Answer:
y = 2(x + 4)² - 6
General Formulas and Concepts:
Order of Operations: BPEMDASCompleting the SquareStep-by-step explanation:
Step 1: Define function
y = 2x² + 16x + 26
Step 2: Find vertex form
Factor GCF: y = 2(x² + 8x + 13)Complete the Square: y = 2(x² + 8x + 4² + 13 - 16)Simplify: y = 2((x + 4)² + 13 - 16)Combine like terms: y = 2((x + 4)² - 6)Simplify: y = 2(x + 4)² - 6A loan of £5200 gains interest of £2340 in 5 years.
Find the simple interest rate.
= ? % p.a.
Answer:
We have the formula to get the amount of money after 5 years:
A = Principal x (1 + rate)^year
or
5200 + 2340 = 5200 x (1 + rate)^5
=> (1 + rate)^5 = (5200 + 2340)/5200 = 1.45
=> 1 + rate = 1.077
=> rate = 1.077 - 1 = 0.077 = 7.7%
Hope this helps!
:)
Answer:
9
Step-by-step explanation:
r= 100i/pt=
100× 2340/5200×5=9
How many ways can you rearrange the letters in the word E-N-E-R-G-E-T-I-C?
Answer:60,480
Step-by-step explanation:
Given
Word ENERGETIC contains
[tex]3-E's[/tex]
[tex]1-N[/tex]
[tex]1-R[/tex]
[tex]1-G[/tex]
[tex]1-T[/tex]
[tex]1-I[/tex]
[tex]1-C[/tex]
i.e. there are 9 letters
So, no of ways of arranging 9 letters out of which 3 are same is given by
[tex]=\dfrac{9!}{3!}=60,480[/tex]
here 3! is for 3-E's
Can you please help with these algebra problems, having a mind blank right now.
Answer:
1. x= -1/2
3. a= 11
5.y= -14
7.x= 8
9.n=4
What is the measure of the angle?
Answer:
115°
Step-by-step explanation:
The external angle of a triangle is equal to the sum of the 2 opposite interior angles.
? is an exterior angle of the triangle , thus
? = 75° + 40° = 115°
Answer:
[tex]x = 115 \: \: degrees[/tex]
First answer is correct.Step-by-step explanation:
let's get the missing side as x
[tex]75 + 40 = x \\ 115 = x[/tex]
A punch recipe calls for a lemonade to soda ratio of
3:5. If there are 120 gallons of punch, how many
gallons of lemonade were used?
Answer:
45 gallons
Step-by-step explanation:
You have to do 3x (lemonade)+5x (soda)=120
8x=120
x=15
now multiply the 15 with the 3 which will get you to 45
i really hope this helped!!
Solve the following proportion for .
17/7 = u/8
Round your answer to the nearest tenth.
Answer:
19.4 =u
Step-by-step explanation:
17/7 = u/8
We can use cross products to solve
17*8 = 7u
Divide each side by 7
17*8/7 = 7u/7
19.42857143 = u
To the nearest tenth
19.4 =u
Answer:
[tex]u = 19.42[/tex]
Step-by-step explanation:
[tex] \frac{17}{7} = \frac{u}{8} \\ \\ cross \: \: \: multiple \\ 17 \times 8 = 7 \times x \\ 136 = 7u \\ \frac{136}{7} = \frac{7u}{7} \\ u = 19.42[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Elise fills a waffle cone with ice cream exactly level to the top of
the cone. If the cone has a diameter of 2 3/8 inches and a height of
6 inches, how much ice cream does the waffle cone hold?
Answer:
V=π r^2 h/3
d=2 3/8 inches
convert to radius d=2r
d=2.375 (value of 2 3/8 inches in decimal)
2.375 divide by 2
r=1.1875 inches
V=π r^2 h/3
V=3.14 x 1.1875^2 x 6/3
Volume will be 8.85.
Step-by-step explanation:
What is the answer for (3m-n)(3m+n)
Answer:
Step-by-step explanation:
9m^2 + 3mn - 3mn - n^2
9m^2 - n^2
Evaluate 16 to the power of 1/2 x 2 to the power of -3
Give your answer as a fraction in its simplest form.
If you get it right then i will give you 5 stars 1 thank you and mark you Brainallist
Answer:
1/2
Step-by-step explanation:
We want to evaluate 16 to the power of 1/2 multiplied by 2 to the power of -3. That is:
[tex]16 ^{1/2} * 2^{-3}[/tex]
Simplifying:
=> [tex]4 * \frac{1}{2^3}[/tex]
[tex]4 * \frac{1}{8} = \frac{1}{2}[/tex]
The answer is 1/2.
Simplify the expression.
Answer:
64x
Step-by-step explanation:
that would be my answer
hope this helps!!! :)
Answer:
64x
Step-by-step explanation:
Simplify into x*4 to the 3 power
Evaluate 4 to the 3 power is 64
Reorder x*64
Final answer = 64x
Every dimension of a triangular pyramid is multiplied by 10 to produce a new figure that is geometrically similar. What effect does this have on
the surface area of the pyramid?
A The surface area of the pyramid is multiplied by 10.
B. The surface area of the pyramid is multiplied by 50.
OC. The surface area of the pyramid is multiplied by 100.
D. The surface area of the pyramid is multiplied by 1,000.
E. The effect on the surface area cannot be determined.
Answer:
The correct option is;
C. The surface area of the pyramid is multiplied by 100
Step-by-step explanation:
The equation for the surface area of a triangular prism is as follows;
A = b×h + 2×l×s + l×b
Where:
b = Base width
h = Height of triangular sides
s = Slant height of pyramid
l = Base Length
Hence where every dimension of the triangular pyramid is multiplied by 10, we have
The surface area of original prism = A₁ = b×h + 2×l×s + l×b
The surface area of the new prism = A₂ = 10·b×10·h + 2×10·l×10·s + 10·l×10·b
A₂ = 100·b×h + 100·2×l×s + 100·l×b = 100×(b×h + 2×l×s + l×b)
Therefore, the surface area of the new pyramid is multiplied by 100.
Answer:
A The surface area of the pyramid is multiplied by 10.
Step-by-step explanation:
A triangular prism is a 3 dimensional shape. A triangular prism has 5 faces: 3 triangles and 3 rectangles.
The total surface area of the triangular prism is calculated as:
(Area of the triangle ÷ 2) + ( Area of the first rectangle) + ( Area of the second rectangle) + ( Area of the second rectangle)
If , every dimension of a triangular pyramid is multiplied by 10 to produce a new figure that is geometrically similar, hence, the surface area of the pyramid is multiplied by 10.
At local florists shop, yellow roses cost $2 and red roses cost $3. Steven wants to spend no more than $25 on a bouquet that includes both yellow and red roses. Let "x" represent the number of yellow roses and let "y" represent the number of red roses.
Answer:
2x + 3y ≤ 25
Completed question;
At local florists shop, yellow roses cost $2 and red roses cost $3. Steven wants to spend no more than $25 on a bouquet that includes both yellow and red roses. Let "x" represent the number of yellow roses and let "y" represent the number of red roses.
Represent the case with an equation.
Step-by-step explanation:
Given;
Cost of yellow roses = $2
Cost of red roses = $3
Maximum cost he can spend = $25
Let "x" represent the number of yellow roses
let "y" represent the number of red roses.
The total cost of yellow roses = 2 × x = 2x
The total cost of red roses = 3×y = 3y
Total = 2x + 3y
The equation for this case can be written as;
2x + 3y ≤ 25
Find the lateral area of the right prism with height 0.3 dm, if the base of the prism is Isosceles trapezoid with bases of 3 cm and 5 cm, and legs of 4 cm;
Answer:
48 cm²
Step-by-step explanation:
The lateral area (L) of a trapezoidal prism is the area of the four rectangles that connect the top and bottom trapezoids.
The four rectangles make one large rectangle with length equal to the sum of the four sides — the perimeter (p).
1. Convert the height to centimetres
[tex]h = \text{0.3 dm} \times \dfrac{\text{10 cm}}{\text{1 dm}} = \text{3 cm}[/tex]
2. Calculate the perimeter
p = 3 cm + 4 cm + 5 cm + 4 cm = 16 cm
3. Calculate the lateral area
L = ph = 16 cm × 3 cm = 48 cm²
The lateral area of the prism is 48 cm².
30 pts! Take a look at this square pyramid (image included). What is the surface area?
Answer:
160
Step-by-step explanation:
b^2 + 2 bl
8^2 + 2(8)(6)
64 + 16(6)
64 + 96
= 160
2:
The figure shows a square pyramid.
Calculate the volume and the surface area of the pyramid. If necessary, round to the nearest hundredth.
Volume
cubic meters
Surface Area
square meters
Answer:
I Have the same question
Step-by-step explanation:
Plz answer this for us.
PLEASE PLEASE PLEASE HELP I will mark brainliest
Answer:
Only the first one should be check-marked.
Step-by-step explanation:
HELP PLEASE thank you due todayyy
Answer:
18.85 feet
Step-by-step explanation:
C = 2 x 3.14 x 6/2
Answer:
C≈18.84
Step-by-step explanation:
Formula is 2πr
D = 6 ft
Radius is D/2 = 3
2π3 = 18.84955592153875943077586029967701730518301639625063492584
7
A dozen eggs costs GH¢ 4.80. Find the cost of 16 eggs
A. GH¢ 6.00
B. GHĆ 6.40
GH€ 7.20
GH¢ 8.00
Answer:
B.
Step-by-step explanation:
Make a ratio equation:
12 : 4.8 = 16 : x
[tex]\frac{12}{4.8} = \frac{16}{x}[/tex]
Cross multiply:
12x = 76.8
x = 6.4
Complete the ratio 8:40 = 1 : ?
Answer:
1:5
Step-by-step explanation:
.......................
Answer:
c. (-1, -8)
Step-by-step explanation:
[tex]y = 3x-5\\y = 2x-6\\\\3x - 5 = 2x - 6\\x = -1\\\\[/tex]
Put x in any of the two equations to get y,
y = -8
Points X(6, 8), Y(3, 3), and Z(13, –3) form a triangle. What is the area of △XYZ?
Answer:
34
Step-by-step explanation:
area = bh/2
The area of the triangle with vertices X(6,8), Y(3,3), and Z(13,-3) is 34 square units.
Coordinates of vertices are:
X≡(6,8)
Y≡(3,3)
Z≡(13,-3)
What is the area of a triangle with vertices [tex](x_1,y_1), (x_2,y_2),(x_3,y_3)[/tex]?The area of a triangle with the above vertices is given by:[tex]\frac{1}{2} [x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)][/tex]
So the area of the triangle with vertices X(6,8), Y(3,3), and Z(13,-3)
=[tex]\frac{1}{2} [6(3+3)+3(-3-8)+13(8-3)][/tex]
=34 square units.
Hence, the area of the triangle with vertices X(6,8), Y(3,3), and Z(13,-3) is 34 square units.
To get more about triangles visit:
https://brainly.com/question/2644832
What goes in the blank box
Answer:
vertex
Step-by-step explanation:
The answer is vertex because when two rays meet up, the point where they meet is the vertex. The vertex will always be the point of two lines. For example a triangle has three vertices because there are three places in which lines meet up.
Please help me pick the tallest ones
Answer:
1ST: MIDDLE 2ND:RIGHT SIDE 3RD: GIRAFFE ON THE LEFT5a squared - 6ab
i need help
Answer:
a (5a - 6b)
Step-by-step explanation:
Factor a
5a^2 - 6ab
a (5a - 6b)
What is the measure of arc WYZ?
A)231
B)200
C)255
D)168
Answer:
The answer is A. 231
Step-by-step explanation:
I took the test on quizizz.
What is round your answer to the simplest radical from?
I need an example or something i don’t know what that is
Answer/ Step-by-step explanation:
Simplest Radical Form. ... Expressing in simplest radical form just means simplifying a radical so that there are no more square roots, cube roots, 4th roots, etc left to find. It also means removing any radicals in the denominator of a fraction.
Please Mark BRAINLIEST! Really need it!
Got this image from one of my assignments:
If f(x) - 4 -3 and s() = x1, find (f-g)(x)
Answer:
=fx-gx
Step-by-step explanation:
Apply the distribute law
Remove Parentheses
Answer found
Answer: =fx-gx
Hope this helps.
I need help with these questions
1) The length of a rectangular room is five less than double the width, w, of the room. Write an expression to represent the area of the room.
2) A parking area is 8 meters by 10 meters. How much will each side have to increase the area by 88 square meters?
Answer: first problem: 2w-5w
Second problem: one side increases by 4 and another side decreases by -22.
Step-by-step
For the first question: make a rectangle and label the length 2w-5 and the width 5. Next, write w(2w-5). Draw a arrow from w to 2 and another arrow from w to 5. Lastly write 2w^2-5w. Answer: 2w^2-5w
2nd question: make a rectangle. For the length write 10 and for the width write 8 and inside the rectangle write 80. Then draw a arrow and on top of the arrow write +88 and then drew another rectangle and for the length write x+10 and for the width write x+8 and inside the rectangle write 168. Then write this on the bottom of the rectangles;
(x+10) (x+8) =168
X^2+8x+10x+80=168
-168. -168
X^2+18x-88=0
Then make a T-chart and on one of the top column write (x-4) and on the other top column write (x+22)=0
And on the bottom of (x-4) write X=4 and in parenthesis write (increase)
And on the bottom of (x+22)=0 write X=-22 and in parenthesis write (decrease)
Then on the area so of the T-chart write 88 and underline it and write -4+22=18 D. S large +.
-Tell me if you get what I am saying. And good luck!