The radius of the base of the cylinder is 3cm
How to determine the valueThe formula for the total surface area of a cylinder is expressed as;
TSA = TSA = 2πr (h + r)
Such that the parameters of the formula are;
TSA is the total surface arear is the radius of the base of the cylinder.h is the height of the cylinder.From the information given, we have;
substitute the values
188 4/7 = 2× 22/7 × r ( 7 + r)
divide the values
1320/7 = 44/7r(7 + r)
1320/7 ×7/44 = 7r + r²
30 = 7r + r²
solve for the value of r, we have;
r² + 10r - 3r - 30 = 0
r(r + 10) - 3( r + 10) = 0
r = 3cm and r =- 10cm
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Geometry Support 4. Given: 6x-4 = 3x + 8. Prove: x = 4
Answer:
6(4)-4=3(4)+8
24-4=12+8
20=20
Step-by-step explanation:
To prove x=4, substitute four into the equation
6(4)-4=3(4)+8
24-4=12+8
20=20
Therefore x=4 is proved
Answer:
(Answer in Image)
Step-by-step explanation:
6x-4=3x+8
6x-4-3x=3x+8-3x subtract -3x on both sides
3x-4=8
3x-4+4=8+4 add four on both sides
3x=12 simplify
3/3x=12/3 divide both sides by 3
x=4
The expression 3s + s + 3 represents how much Alex and his family will spend to go to the movies. Which statement explains how this expression can be simplified?
Answer:
Step-by-step explanation:
The expression 3s + s + 3 represents the total amount Alex and his family will spend to go to the movies. To simplify this expression, we can combine like terms.
The terms 3s and s are like terms because they both have the variable "s" raised to the power of 1. To combine them, we add their coefficients:
3s + s = (3 + 1)s = 4s
Therefore, the simplified expression is 4s + 3, which represents the total amount Alex and his family will spend to go to the movies.
find the value of
tan 45º . tan- 30° tan 60°
Answer:
Find the exact value of tan 45º = 1/1 = 1.
Find the exact value of cos 30º = √3/2.
Find the exact value of csc 60º = 2√(3)/3
Step-by-step explanation:
math
If
R
=
{
x
|
x
>
0
}
and
S
=
{
x
|
x
<
3
}
, what is the number of integers in
R
∩
S
?
A. Zero
B. Two
C. Three
D. Four
As per the given data, the number of integers in R ∩ S is 2, and the correct answer is (B) Two.
In mathematics, the intersection of two sets is a set containing all elements that are members of both sets.
In symbols, the intersection of two sets A and B is denoted by A ∩ B, and it contains all elements that belong to both A and B.
The intersection of two sets contains only the elements that are present in both sets. In this case,
R ∩ S = {x | x > 0 and x < 3}
The integers that are present in this set are 1 and 2.
Therefore, the number of integers in R ∩ S is 2, and the correct answer is (B) Two.
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10 points. please answer
The measure of the angles for the similar triangles are ∠G = 105°; ∠H = 55° and ∠I = 20°
What are similar triangles?Two triangles are said to be similar if the ration of their corresponding sides are in the same proportion. Also, all their corresponding angles are congruent with each other.
From the diagram shown:
∠X + ∠Y + ∠Z = 180° (sum of angles in a triangle)
20 + 105 + ∠Z = 180
∠Z = 55°
Since triangle XYZ and triangle GHI are similar, hence:
∠X = ∠G = 105°; ∠Z = ∠H = 55° and ∠Y = ∠I = 20°
The measure of the angles are ∠G = 105°; ∠H = 55° and ∠I = 20°
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It costs a car company $25,000,000 to develop and market the model of a new car. The company sells each car for $30,000 . Which of the following represents the number of cars, c , that the car company must sell to make over $5,000,000 in profit?
Answer:1,000
Step-by-step explanation:
So we add 25 million to 5 million which is 30 million. Then we divide 30 million to 30 thousand and get 1 thousand.
¿COMO PUTAS SE HACE i¹⁰⁰²?
Answer:
nose
Step-by-step explanation:
Which of the following is the point and slope of the equation y - 8 = 4(x + 3)? a. (8, -3), 4 b. (3, -8), 4 c. (-8, 3), 4 d. (-3, 8), 4
Answer:
d
Step-by-step explanation:
This is point-slope form, and these coordinates make both sides equal to 0.
3.8.10) Inclusions are defects in poured metal caused by contamitants. The number of (large) inclusions in cast iron follows a Poisson distribution with a mean of 2 per cubic millimeter. Deter mine the following:
(a) Probability of at least one inclusion in a cubic millimeter.
(b) Probability of at least 3 inclusions in 4.0 cubic millimeters.
(c) Volume of material to inspect such that the probability of at least one inclusion is 0.98
(d) Determine the mean inclusion per cubic millimeter such that the probability of at least one inclusion is 0.98.
Answer:
a) P(X>=1) = 0,7293 or P(X>=1) = 72,93 %
b) P(X>=3) = 0,5686 or P(X>=3) = 56,86 %
c) y = 0,8494 mm³
d) λ = 1,69897 inc per mm³
Step-by-step explanation:
a) P(X>=1) = 1 - P(X=0)
P(X = 0) = λ⁰ * e∧⁻λ / 0! where λ = 2 in/mm³
P(X = 0) = e∧-2 ⇒ P(X = 0) = 0,2706
Then
P(X>=1) = 1 - 0,2706
P(X>=1) = 0,7293 or P(X>=1) = 72,93 %
b) 3 inc. in 4 mm³ = 2*4/3 λ = 2,67 inc. per mm³
P(X>=3) = 1 - P(X=1 ) - P(X=2)
P(X=1) = λ¹ * e∧-λ / 1! ⇒ P(X=1) = 2,67 *e∧- 2,67/1
P(X=1) = 0,1846
P(X=2) = λ² * e∧-λ / 2! ⇒ P(X=2) = (2,67)² * e ∧ - 2,67/2
P(X=2) = 7,1289* 0,06925/2 ⇒ P(X=2) = 0,2468
Then
P(X>=3) = 1 - 0,1846 - 0,2468
P(X>=3) = 0,5686 or P(X>=3) = 56,86 %
c) P(X>=1) = 0,98
and λ = 2*y where y is the quantity of material
P(X=0) = 1 - P(X>=1)
P(X=0) = 1 - 0,98 P(X=0) = 0,02
0,02 = (2*y)⁰ * e ∧ -2*y /0!
0,02 = 1 * e ∧ -2*y
Taking log on both sides of the equation
log (0,02) = -2*y - 1,69897 = - 2*y
y = 0,8494 mm³
d) P(X >=1 ) = 1 - P( X = 0)
0,98 = 1 - P( X = 0)
P( X = 0) = 0,02
0,02 = λ⁰ * e ∧ - λ / 0!
0,02 = e ∧ -λ
Taking log on both sides of the equation we get:
log ( 0,02 ) = - λ
- 1,69897 = - λ
λ = 1,69897 inc. per mm³
what is the greatest common factor of 15v to 3rd power and 12v to the 2nd power?
Answer:
Step-by-step explanation:
the great common factor is 3 =5v over 4 in a fraction
A box contains 35 gems, of which 10 are real diamonds and 25 are fake diamonds. Gems are randomly taken out of the box, one at a time without replacement. What is the probability that exactly 2 fakes are selected before the second real diamond is selected
Answer:
Step-by-step explanation:
The total number of ways of selecting 3 gems of any kind without replacement is 35 * 34 * 33 = 39270
Now selecting 2 gems from 25 is 25C2
25 C 2 = 25 * 24/2 = 300
Selecting one good gem is 10
Total selection = 300 * 10 = 3000
P(gems) = 3000 / 39270
P(gems) = 300/3927
P(gems) = 100/1309
2 Write 386 in expanded form
Answer:
300+ 80+6
Step-by-step explanation:
i think i not sure
What is 7(w-8)-3(-5w-10)
Answer:
}{7(w-8)}}-3(-5w-10)
7(w−8)−3(−5w−10)
Answer:
22w - 26
\(\large \bold {Solution \: Steps}\)
Use the distributive property to multiply 7 by w−8.\(\small\textsf{7w−56−3(−5w−10)}\)
Use the distributive property to multiply −3 by −5w−10.\(\small\textsf{7w−56+15w+30}\)
Combine 7w and 15w to get 22w.\(\small\textsf{22w−56+30}\)
Add −56 and 30 to get −26.\(\small\textsf{22w - 26}\)
Hope It's Help
Two buses leave Philadelphia at the same time and travel in opposite directions. The north bound bus travels
at a rate of 55 mph. The southbound bus travels at a rate of 45 mph. When will they be 400 miles apart?
Answer:
4 hours
Step-by-step explanation:
55x + 45x = 400
100x = 400
x = 400/100
x = 4
issac and his friends pitched 4 trekker tents in 60 minutes on a camping site. how long will they take to pitch 5 tents?
Answer: 75
Step-By-Step Explanation. 60 / 4 = 15, it takes 15 minutes for each tent.
15 x 5 = 75
so it takes them 75 minutes to do 5 tent
tell me if i'm wrong and if so tell me what the right answer was have a nice day
Graph the system of equation:
Y=-5/3x+3
Y=1/3x-3
Answer: first picture is for y=-5/3x + 3
Step-by-step explanation:
what type of object around in locality
Objects commonly found in a locality include residential buildings, commercial establishments, public facilities, transportation infrastructure, landmarks, natural features, utilities, street furniture, and vehicles.
The type of objects that can be found in a locality can vary greatly depending on the specific location and its surroundings. Here are some common types of objects that can be found in a locality:
Residential Buildings: Houses, apartments, condominiums, and other types of residential structures are commonly found in localities where people live.
Commercial Establishments: Localities often have various types of commercial establishments such as stores, shops, restaurants, cafes, banks, offices, and shopping centers.
Public Facilities: Localities typically have public facilities such as schools, libraries, hospitals, community centers, parks, playgrounds, and sports facilities.
Transportation Infrastructure: Localities usually have roads, sidewalks, bridges, and public transportation systems like bus stops or train stations.
Landmarks and Monuments: Some localities may have landmarks, historical sites, monuments, or cultural attractions that represent the area's heritage or significance.
Natural Features: Depending on the locality's geographical characteristics, natural features like parks, lakes, rivers, mountains, forests, or beaches can be present.
Utilities: Localities have infrastructure for utilities such as water supply systems, electrical grids, sewage systems, and telecommunications networks.
Street Furniture: Localities often have street furniture like benches, streetlights, waste bins, traffic signs, and public art installations.
Vehicles: Various types of vehicles can be found in a locality, including cars, bicycles, motorcycles, buses, trucks, and possibly other modes of transportation.
It's important to note that the objects present in a locality can significantly differ based on factors such as urban or rural setting, cultural context, economic development, and geographical location.
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You move right 8 units. You end at (5, -3). Where did you start?
If we move 8 units right and end up at the coordinate (5,-3) the starting point is (-3,-3)
In an x-y plane, the x-axis is the axis along the horizontal of the plane. Similarly, the y-axis is the axis along the vertical of the plane.
Thus, the change in the position affects the coordinates of the x and y axis accordingly.
Given:
Change in position: 8 unit rights
Thus, the movement is along the x-axis in the positive direction
Final position: (5,-3)
Starting point can be found by subtracting the movement of the particle from the endpoint.
Thus, Starting position: (5-8,-3) or (-3,-3)
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Earth has more than 60,000 tree species. Each look different and grows at a different rate. Pick a tree species below. If you planted a seed in year 0, calculate the dimensions of the trees trunk in years 1,2,3, and 10. Would you say that the tree grows by the same amount each additional year?
One of the species of trees is the Oak. If a seed of an Oak tree is planted, and it is assumed that the diameter of the seed is 0, the tree would grow by approximately 3.3 inches in year 1, 6.6 inches in year 2, 9.9 inches in year 3, and 33 inches in year 10. It cannot be said that the Oak tree would grow by the same amount each additional year.
Some years, the tree might grow more, while other years, it might grow less.Trees are perennial plants that have a single main stem, a supporting structure of branches and leaves, and the ability to produce wood.
A tree that is mature and has a single stem is known as a "single-trunked" or "single-stemmed" tree; trees with several stems originating at or near the ground are known as "multi-stemmed" or "clonal" trees.The height and trunk diameter of a tree increase as it matures.
The growth rate of each tree species is determined by various variables such as weather, altitude, and soil fertility.
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work out the area of the shape
Answer:
45cm^2
Step-by-step explanation:
we have two shapes in the diagram a square and a triangle so we find the area of each of them and add them together
finding the area of a square
we have area= s×s
area = 7×5
area = 35cm^2
finding the area of a triangle
1/2 ×b×h
1/2×4×5
area = 10cm^2
so we add together
total area = 35+ 10
area = 45cm^2
Hani sells postcards for $3 each. Accounting for fixed costs, he sold 7 postcards for a net profit of $1. Write an equation in point-slope form that represents this relationship?
A. y – 1 = 3(x − 7)
B. y – 7 = 3(x − 1)
C. y + 1 = 3(x + 7)
D. y + 7 = 3(x + 1)
Answer:D
Hani sells postcards for $3 each. Accounting for fixed costs, he sold 7 postcards for a net profit of $1. Write an equation in point-slope form that represents this relationship?
y is the cards 7 is the nuber of cards 3 is how much each (x+1) 1 is net profit x=y
the sum of 5 times a number and twice its cube
N
50°
AOMN~ ARPQ
Find 0.
M
Ө
0 = [?]°
<
P
70°
R
Answer:
60°
Step-by-step explanation:
In similar triangles, the corresponding angles are congruent.
∠O = R
O = 70°
In ΔOMN,
∠O + ∠M + ∠N = 180 {Angle sum property of triangle}
70 + 50 + Ф = 180
120 + Ф = 180
Subtract 120 from both sides,
Ф = 180 - 120
Ф = 60°
find the missing angles
Answer:
b = 34°
Step-by-step explanation:
b + 115° + 31° = 180°
b + 146° = 180
b = 180° - 146°
b = 34°
Answer:
\( {b}^{o} = {34}^{o} \)
Step-by-step explanation:
Hint :
Sum of angles = 180°
Simplify :
\( {115}^{o} + {31}^{o} + {b}^{o} = {180}^{o} \)
\( {146}^{o} + {b}^{o} = {180}^{o} \)
\( {b}^{o} = {180}^{o} - {146}^{o} \)
\( {b}^{o} = {34}^{o} \)
Hope it is helpful...Kendall has a model clock tower. The real tower is 316 feet tall. Kendall's tower is 79 centimeters tall. What is the scale of her model clock tower?
The phone company charges $19.99 per line for the first 3 phone lines and $15.99 for each additional line. Customer ordered 7 lines, how much will they be charge per month?
The total charge for the month is given as follows:
$123.93.
How to obtain the total charge for the month?The total charge for the month is obtained applying the proportions in the context of the problem.
The costs are given as follows:
$19.99 per line for the first three lines.$15.99 per line for each additional line.For a customer with 7 lines, the charges are given as follows:
$19.99 for each of the first three lines.$15.99 for each of the last four lines.Hence the total charge is then calculated as follows:
3 x 19.99 + 4 x 15.99 = $123.93.
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. A cocoa blender makes a profit of 30% be selling a super mix cocoa at Kshs.650 for 250 grams tin. He makes a super mix cocoa by blending two varieties of cocoa., A and which cost him Kshs. 1 800 and Kshs.2 400 per kg respectively. B In what proportion the cocoa types A and B mixed? were (3 marks)
Answer:
The cost price of 250 grams of super mix cocoa is Kshs.650/1.3=Kshs.500.
The cost price of 1 kg of super mix cocoa is Kshs.500*4=Kshs.2000.
If x kg of cocoa A is mixed with (1-x) kg of cocoa B, then the cost price of the mixture is Kshs.1800x+Kshs.2400(1-x).
Therefore, Kshs.1800x+Kshs.2400(1-x)=Kshs.2000.
Solving for x, we get x=2/3.
Therefore, the cocoa types A and B are mixed in the proportion 2:1.
Last week, Sherry bought 13 shirts and 12 hats for a total of $176.
Today, Sherry bought 6 shirts and 12 hats for a total of $120.
Assuming neither item has changed in price, what is the cost of a shirt in dollars?
Answer:
Cost of one shirt = $8
Step-by-step explanation:
We can find the cost of a shirt using a system of equations.
Our two equations are 13S + 12H = 176 and 6S + 12H = 120, where S represents the cost of shirts and H represents the cost of hats.
Elimination is the easiest method to solve:
\(13S+12H=176\\6S+12H=120\\\\-1(13S+12H=176)\\\\-13S-12H=-176\\6S+12H=120\\-7S=-56\\\\S=8\)
what is a definition of complex number?
Answer:
Step-by-step explanation:
A complex number is a number that contains a real part and an imaginary one .
Mathematical expression : a+bi xhera a and b are real numbers and i the solution of an equation like x²) -1 ..
Answer:a complex number is a number that can be shown in a form a+bi when a and b are real numbers and i is the answer to the equation x^2=-1
Please help answer this question for me.
Answer:
Yes
Step-by-step explanation: