The diameter of the reservoir is:
Part (a): 112.86 m
part (b): 56. 44 m
How to find the diameter of the reservoir?The volume of a cylinder is given by the formula:
V = πr²h
where r is the radius and h is the height or depth
Part (a):
We have:
h = 10 cm = 0.1 m
V = 1000,000 litres = 1000 m³ (Remember: 1 litre = 1000 cubic metre)
V = πr²h
1000 = 3.14 * r² * 0.1
1000 = 0.314 r²
r² = 1000 / 0.314
r² = 3184.71
r = √3184.71
r = 56.43 m
Since diameter = 2 * r
diameter = 2 * 56.43
diameter = 112.86 m
part (b):
We have:
h = 10 cm = 0.1 m
V = 250,000 litres = 250 m³
V = πr²h
250 = 3.14 * r² * 0.1
250 = 0.314 r²
r² = 250 / 0.314
r² = 796.18
r = √796.18
r = 28.22 m
Since diameter = 2 * r
diameter = 2 * 28.22
diameter = 56. 44 m
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In 2007, the FDIC’s insurance limit was $100,000 per person per bank. At that time, if Kit had three separate $50,000 CDs at Bank R, a $60,000 checking account and a $140,000 money market account at Bank S, and an $80,000 savings account at Bank T, how much of Kit’s money was FDIC insured?
a.
$230,000
b.
$280,000
c.
$300,000
d.
$390,000
The correct option is c. $300,000. In 2007, the FDIC’s insurance limit was $100,000 per person per bank. Kit had three separate $50,000 CDs at Bank R, a $60,000 checking account and a $140,000 money market account at Bank S, and an $80,000 savings account at Bank T.
How much of Kit’s money was FDIC insured?The amount of Kit’s money that was FDIC insured was c. $300,000.In 2007, the Federal Deposit Insurance Corporation (FDIC) insured deposit accounts up to $100,000 per person per bank, or up to $250,000 for certain retirement accounts.
This means that if the bank fails, the FDIC will provide insurance coverage up to the specified amount for the deposits.Based on the details given in the question, we need to calculate the amount of Kit’s money that was FDIC insured.Kit has the following accounts:
Three $50,000 CDs at Bank R.$60,000 checking account and a $140,000 money market account at Bank S.$80,000 savings account at Bank T.
So, the total amount of money that Kit has is:$50,000 + $50,000 + $50,000 + $60,000 + $140,000 + $80,000 = $430,000Therefore, the total amount of Kit’s money that was FDIC insured is:$100,000 (maximum amount insured per person per bank) × 3 banks = $300,000.So, the correct option is c. $300,000.
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Answer:
The answer is B) 280,000
Step-by-step explanation:
Find the formula for the nth term of the arithmetic sequence whose first term and a common difference are given: a=1, d=5
Step-by-step explanation:
The formula for the nth term of an arithmetic sequence is:
a_n = a + (n - 1)d
where a is the first term, d is the common difference, and n is the term number.
Substituting a=1 and d=5, we get:
a_n = 1 + (n - 1)5
Simplifying this expression, we get:
a_n = 5n - 4
Therefore, the formula for the nth term of the arithmetic sequence with first term a=1 and common difference d=5 is a_n = 5n - 4.
Answer:
nth=3n+1. (B) nth=5n−13. Explanation: the nth term of an Ap is given by. nth=a+(n−1)d. (A). nth=4+(n−1)3. nth=4+3n−3.
use average rates of change to generate a liner function model.
Answer:
To generate a linear function model using average rates of change, we need to have two points on the line. Let's suppose we have two points (x1, y1) and (x2, y2) on the line, where x2 > x1. Then the slope of the line, m, can be calculated as:m = (y2 - y1) / (x2 - x1)This represents the average rate of change of y with respect to x between the two points.Once we have the slope, we can use the point-slope form of the equation of a line to write the equation of the line:y - y1 = m(x - x1)where (x1, y1) is one of the points on the line.To simplify this equation, we can rearrange it to slope-intercept form, y = mx + b, where b is the y-intercept. We can solve for b by plugging in the coordinates of one of the points on the line:y1 = mx1 + bb = y1 - mx1Once we have m and b, we can write the equation of the line in slope-intercept form:y = mx + bHere's an example: Suppose we have the two points (2, 5) and (4, 9). The slope of the line between these two points is:m = (y2 - y1) / (x2 - x1) = (9 - 5) / (4 - 2) = 2Using point-slope form, we can write the equation of the line as:y - 5 = 2(x - 2)Simplifying, we get:y = 2x + 1So the linear function model generated using average rates of change is y = 2x + 1.
Step-by-step explanation:
Does anyone know this question?
In this question, measure of angle 4 is c. 60 degree. It has been calculated using properties of parallel lines.
It can be seen that in this question l and m are parallel lines and there is a transverse passing through it. We know through the properties of parallel lines that sum of ∠2 and ∠4 is 180° as they are consecutive interior angles and consecutive interior angles are supplementary meaning their sum is 180.
∠2 + ∠4 = 180° (consecutive interior angles)
120° + ∠4 = 180°
∠4 = 180 - 120
= 60°
Parallel lines are straight lines that never meet, no matter how far they are extended. Many pairs of angles are generated when two parallel lines are intersected by another line known as a transversal.
Some angles are congruent (equal), whereas others are supplementary (different). Consecutive interior angles, also known as co-interior angles, develop on the inside of the transversal and are additional.
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Find the missing side length.
a
26
24
Answer:
a = 10
Step-by-step explanation:
using Pythagoras' identity in the right triangle
the square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
a² + 24² = 26²
a² + 576 = 676 ( subtract 576 from both sides )
a² = 100 ( take square root of both sides )
a = [tex]\sqrt{100}[/tex] = 10
y intercepts of f((x)=x^{2}+2x-3
Answer:
The y-intercept is -3
Written as a point it is (0, -3)
Step-by-step explanation:
To find the y-intercept, let x = 0
(and to find x-intercepts, let y = 0)
So let's let x = 0
f(x) = x^2 + 2x - 3
y = x^2 + 2x - 3
y = 0^2 + 2(0) - 3
y = -3
This means the y-intercept is -3. The graph crosses the y-axis at -3. This is the point (0, -3).
The spinner will be spun 2 times.
What is the probability that both spins result in the same color?
Note that the the probability that both spins result in the same color is 0.28
How did we get this ?Probability of getting ...
red on both spins = (1/5) x (1/5) = 1/25
yellow on both spins = (1/5) x (1/ 5) = 1/25
blue on both spins = (1/5) x (1/5 = 1/25
pink on both spins = (2/5)x (2/5) = 4/25
So the total probability of getting the same color in both spins is computed as
= 1/25 + 1/25 + 1/25 + 4/25
= 7/25 or 0.28
So the correct asnwer is 0.28 or 7/25
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Point C is on line segment BD. Given CD = 5 and BC = 4, determine the length
BD.
The length of BD is equal to 9 units.
How to determine the midpoint of a line segment?In Mathematics, the midpoint of a line segment with two end points can be calculated by adding each end point on a line segment together and then divide by two (2).
Since C is the midpoint of line segment BD, we can logically deduce the following relationship:
Line segment BD = Line segment BC + Line segment CD
By substituting the given line segments into the equation above, we have the following:
Line segment BD = 4 + 5
Line segment BD = 9 units.
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If the universal set is U=(1, 2, 3, 4, 5, 6, 7, 8, 9, 10), select the true statements regarding
the subsets below.
A=(2,3,5,7)
B=(1,2,5,10)
C=(1,2,3, 6)
D=(3,5,7)
DACD
DACU
ODCA
DUCC
OBCB
Answer: its D because Jews (Hebrew: יְהוּדִים, ISO 259-2: Yehudim, Israeli pronunciation: [jehuˈdim]) or Jewish people are an ethnoreligious group,[10] nation or ethnos[11][12] originating from the ancient Israelites[13][14][15] and Hebrews[16][17][18] of historical Israel and Judah. Jewish ethnicity, nationhood, and religion are strongly interrelated,[19][20] as Judaism is the ethnic religion of the Jewish people, although its observance varies from strict to none.[21][22]
Jews originated as an ethnic and religious group in the Middle East during the second millennium BCE,[9] in a part of the Levant known as the Land of Israel.[23] The Merneptah Stele of ancient Egypt appears to confirm the existence of a people of Israel somewhere in Canaan as far back as the 13th century BCE (Late Bronze Age).[24][25] The Israelites, as an outgrowth of the Canaanite population,[26] consolidated their hold in the region with the emergence of the kingdoms of Israel and Judah. Some consider that these Canaan-sedentary Israelites melded with incoming nomadic groups known as the "Hebrews".[27] The experience of life in the Jewish diaspora, from the Babylonian captivity and exile (though few sources mention this period in detail[28]) to the Roman occupation and exile, and the historical relations between Jews and their homeland in the Levant thereafter became a major feature of Jewish history, identity, culture, and memory.[29]
In the following millennia, Jewish diaspora communities coalesced into three major ethnic subdivisions according to where their ancestors settled: the Ashkenazim (Central and Eastern Europe), the Sephardim (initially in the Iberian Peninsula), and the Mizrahim (Middle East and North Africa).[30][31] Prior to World War II, the global Jewish population reached a peak of 16.7 million,[32] representing around 0.7 percent of the world population at that time. During World War II, approximately 6 million Jews throughout Europe were systematically murdered by Nazi Germany during the Holocaust.[33][34] Since then, the population has slowly risen again, and as of 2018, was estimated to be at 14.6–17.8 million by the Berman Jewish DataBank,[1] comprising less than 0.2 percent of the total world population.[35][note 1] The modern State of Israel is the only country where Jews form a majority of the population.
Step-by-step explanation: Hitler + jew=bad
2. A triangular field ABC is such that AB-90m, BC = 30m and
AC-85m Make a scale drawing of it, using a scale of 1 cm to 10m.
From
your
scale drawing, find the actual distance from A to the
mid-point of BC and the the actual distance from B to the
mid-point of AC.
The actual distance from A to the mid-point of BC is 42 m.
The actual distance from B to the mid-point of AC is 27 m.
A scale of 1 cm to 10 m can draw the triangular field ABC as follows:
C
/ \
85 / \ 90
/ \
A-------B
30
Here, we draw AB as a horizontal line segment of length 9 cm (since AB is 90 m and the scale is 1 cm to 10 m), BC as a vertical line segment of length 3 cm (since BC is 30 m and the scale is 1 cm to 10 m) and AC as the hypotenuse of a right triangle with legs of length 8.5 cm and 9 cm (since AC is 85 m and AB is 90 m).
We can use a ruler to measure the actual distances from A to the mid-point of BC and from B to the mid-point of AC on the scale drawing.
The actual distance from A to the mid-point of BC, we first locate the mid-point of BC on the scale drawing is at a distance of 1.5 cm from B.
Then, we measure the distance from A to the mid-point of BC on the scale drawing is approximately 4.2 cm.
The scale of 1 cm to 10 m, we can convert this to the actual distance:
Actual distance = 4.2 cm × 10 m/cm
= 42 m
The actual distance from B to the mid-point of AC first locate the mid-point of AC on the scale drawing is at a distance of 4.25 cm from A.
Then, we measure the distance from B to the mid-point of AC on the scale drawing is approximately 2.7 cm.
Using the scale of 1 cm to 10 m, we can convert this to the actual distance:
Actual distance = 2.7 cm × 10 m/cm
= 27 m
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what is the range of this graph?
(5, 55) is the range of the given curve.
Determining the range of a graphThe given graph is similar to a quadratic graph. The range of a function is defined as the values of the function that lies along the y-coordinate.
From the given graph, the range will lie between the initial point on the graph top the vertex.
The initial point is (0, 5) while the vertex is (1, 55). The equivalent y-coordinate values will form the values for the range.
Hence the range of the given graph is (5, 55)
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251,400 kilometers. What do you estimate is the circumference of the moon’s orbit around the earth?
The estimated circumference of the Moon's orbit around the Earth is approximately 1,579,896.8 kilometers.
The circumference of the Moon's orbit around the Earth can be estimated using the given distance of 251,400 kilometers.
The circumference of a circle is calculated using the formula:
Circumference = 2 × π × Radius
The Moon's orbit around the Earth can be considered as a circular path.
We can estimate the circumference by considering the given distance as the radius of the circle.
Circumference ≈ 2 × π × 251,400 kilometers
Using an approximate value of π as 3.14, we can calculate the estimated circumference:
Circumference ≈ 2 × 3.14 × 251,400 kilometers
Circumference ≈ 1,579,896.8 kilometers
The stated distance of 251,400 kilometres can be used to calculate the circumference of the Moon's orbit around the Earth.
In order to determine a circle's circumference, use the following formula:
Circumference equals two radii.
It is possible to think of the Moon's orbit around the Earth as a circle.
By using the specified distance as the circle's radius, we can calculate the circumference.
Approximately 251,400 km around.
We may determine the approximated circumference using an approximation of as 3.14:
= 2 × 3.14 × 251,400 kilometers around the earth.
1,579,896.8 km around the circumference
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Which statement can be concluded using the true statements shown?
If two angles in a triangle measure 90° and x degrees, then the third angle measures (90-x) degrees.
In triangle ABC, angle A measures 90 degrees and angle B measures 50⁰.
Angle C must measure 50 degrees.
O Angle C must measure 40 degrees.
Angle C must measure (90- 40) degrees.
O Angle C must measure (90-30) degrees.
Answer: 60
Step-by-step explanation: If you subtract then you will continue to get 60
What is the area of a sector with a central angle of 130° and a diameter of 5.6 in.?
Use 3.14 for π and round your final answer to the nearest hundredth.
Enter your answer as a decimal in the box.
___ in²
Step-by-step explanation:
The first step is to find the radius of the circle, which is half the diameter:
r = 5.6/2 = 2.8 inThe area of the entire circle is:
A = πr² = 3.14 x 2.8² = 24.616 in²To find the area of the sector, we need to multiply the area of the whole circle by the fraction of the circle represented by the central angle. Since the central angle is 130° out of 360° (a full circle), the fraction of the circle represented by the sector is:
130/360 = 13/36Therefore, the area of the sector is:
A = (13/36) x 24.616 = 8.912 in²Rounding to the nearest hundredth, we get:
A ≈ 8.91 in²Therefore, the area of the sector is approximately 8.91 in².
Us the information above to answer the following questions: What does the acronym VAT stand for? How many items on the till slip are zero rated? Give a reason why the items are zero rated. 13 If Mr Se hole decides to buy at a later stage 6 kg of rice (packed and priced in the same way as on the till slip), what will he pay for the rice? Mr Sethole states that he paid R23,99 for playboy deodorant (150 ml). Is Mr Sethole's staten ent correct? Do all the necessary calculations to support your answer. Show how the VAT amount of R17,36 was calculated. Hence, calculate the total cost excluding VAT.
Answer:
A food manufacturer may use zero-rated goods in the manufacturing of a food product, but when the consumer buys the final product, it includes a VAT.
Step-by-step explanation:
find the perimeter of an equilateral triangle of edge of 4.24 cm
Answer:
perimeter = 12.72 cm
Step-by-step explanation:
an equilateral triangle has 3 congruent sides
the perimeter is the sum of the 3 sides , that is
perimeter = 4.24 + 4.24 + 4.24 = 12.72 cm
Find the surface area of the composite figure.
A three-dimensional L-shaped figure is made of two rectangular prisms joined at a right angle. A horizontal rectangular prism has a length of eight inches, a width of two inches, and a height of two inches. A vertical rectangular prism connected at the right end of the other prism has a length of two inches, a width of two inches, and a height of eight inches.
The total volume of the composite figure is 64 in³.
Volume of a rectangular prism
The volume of a rectangular prism, V = lwh where
l = length,
w = width and
h = height
Volume of horizontal rectangular prism
Since horizontal rectangular prism has a length of eight inches, a width of two inches, and a height of two inches. So,
l = 8 in,
w = 2 in and
h = 2 in.
So, its volume V' = lwh
= 8 in × 2 in × 2in
= 32in³
Volume of vertical rectangular prism,
Since the vertical rectangular prism connected at the right end of the other prism has a length of two inches, a width of two inches, and a height of eight inches. So,
l = 2 in,
w = 2 in and
h = 8 in.
So, its volume V" = lwh
= 2 in × 2in × 8 in
= 32 in³
Volume of composite figure
The volume of the composite figure V"' = V' + V"
= 32 in³ + 32 in³
= 64 in³
So, the total volume of the composite figure is 64 in³.
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Timothy and Sean are masseur. Timothy charges $45 for each massage and Sean charges $55 for each massage. This week
Timothy made $102 in tips and Sean made $96 in tips. Given that T and S represent the number of massages given by Timothy
(T) and Sean (S), which expression can be used to represent their combined earnings for the week?
Answer: 45T + 55S +102 + 96= Combined income
Step-by-step explanation:
How do I solve for this?
Answer: [tex]cosx =- \sqrt{ 1 - sin^2x}[/tex]
Step-by-step explanation:
Generally speaking; [tex]cos^2x + sin^2x = 1[/tex]
rearranging this gives us all sorts of cool things.
for now, we will use: [tex]cosx = \sqrt{ 1 - sin^2x}[/tex]
This however, is general.
In the third quadrant, cosine is negative. So cosx in QIII will be:
[tex]cosx =- \sqrt{ 1 - sin^2x}[/tex]
and thats the answer :)
Elia owns 2/5 of a cross fit training company. If the company is worth $157,000, what is the value of Elia's share of the
business. Round to the nearest dollar. Do not include a dollar sign in your answer.
Step-by-step explanation:
To calculate the value of Elia's share in the business, we need to multiply the company's worth by the fraction representing Elia's ownership.
Here's the calculation:
(2/5) * $157,000 = $62,800
So, the value of Elia's share in the business is approximately $62,800.
Answer:
His share is 62800 dollars
Step-by-step explanation:
You would divide 157000 by 5 and then multiply your answer by 2.
a baseball diamond is a square with sides of 90 feet. what is the shortest distance ,to the nearest tenth of a foot, between first base and third base?
Answer:
The distance from first base to third base is 127.3 ft,
i need help again
plss
Step-by-step explanation:
answer is 10 hope it's helps
PLEASE HELP ME SOLVE THIS ANSWER
The function of C(d) in the given inverse function is determined as C(d) = (d - 3)/10
option A.
What is the inverse of the function?The inverse of the given function is calculated by applying the principle of inverse of functions as follows;
let C(d) = 10d + 3
The inverse of the function is calculated as follows;
C = 10d + 3
make d the subject of the formula;
10d = C - 3
d = (C - 3)/10
Now replace, C with d;
C = (d - 3)/10
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Create an expression with at least two different operations that has an answer of 14 . Please help me and explain step by step!
Answer:
Step-by-step explanation:
There are many expressions that could have an answer of 14, but here’s one example:
(7 x 2) - 1 = 14
Let’s break it down step by step:
The first operation in this expression is multiplication. We multiply 7 by 2, which gives us 14.
7 x 2 = 14
The second operation in this expression is subtraction. We subtract 1 from the result of our multiplication, which gives us 14.
14 - 1 = 14
So, the final expression is (7 x 2) - 1 = 14, which has an answer of 14.
Keep in mind that there are many other expressions that could have an answer of 14 as well. This is just one example!
Answer:
(49÷7)2=14
(2×3.5)2=14
Step-by-step explanation:
I honestly don't know of this is exactly what our asking for but here are two equations that are equal to 14, hope this helps
What would a map's scale be if 6 miles measured 8 inches?
Point O is the center of the circle in the diagram. What is
mBCA?
A. 80°
B. 75°
C. 70°
D. 65°
The measure of m∠BCA is equal to: C. 70°
What is a circle?In Mathematics and Geometry, a circle is a closed, two-dimensional curved geometric shape with no edges or corners.
Additionally, a circle refers to the set of all points in a plane that are located at a fixed distance (radius) from a fixed point (central axis), and a full circle always has a measure of 360 degrees.
In this context, the sum of an angle around any point is equal to 360 degrees;
m∠(BOA) = 360 - 250
m∠(BOA) = 110°
Also, the sum of all the interior angles inscribed in this circle, CAOB = 360 degrees;
m∠BCA = 360 - (110 + 90 + 90)
m∠BCA = 70°
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Solve the problem. What is the slope of a roof that rises 12 feet over a run of 28 feet? a. StartFraction negative 3 Over 7 EndFraction c. StartFraction 3 Over 7 EndFraction b. StartFraction negative 7 Over 3 EndFraction d. StartFraction 7 Over 3 EndFraction
Answer:
im pretty sure the slope would be 3 over 7 (3/7)
Step-by-step explanation:
Please help me with this 19-20
A potter made two cylindrical cups; one with a radius of 4 cm and a height of 5 cm, the other with a radius of 3 cm and a height of 9 cm. how much more liquid does the larger cup hold? please help and show work on a piece of paper i will mark you brainliest!!
The amount of liquid that the larger cup holds more than the smaller cup would be =3.14cm³
How to calculate the volume of the cylindrical cups?To calculate the volume of the cylindrical cups, the formula for volume of cylinder should be used an it is given below as follows;
Volume of cylinder = πr²h
For smaller cup;
radius = 4cm
height = 5cm
volume = 3.14×4×4×5
= 251.2cm²
For the larger cup;
radius = 3cm
height= 9cm
volume = 3.14×3×3×9
= 254.34
The difference between the two cups = 254.34 -251.2 = 3.14cm³
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28. Find the area of the above triangle
B. 40cm' C. 32cm²
E. 16cm²
A. 64cm
D.20cm²
The area of the given triangle, given the height and the type of triangle would be E. 16 cm ²
How to find the area ?To find the area of an equilateral triangle when given just the height, the formula is:
= ( height ² x √ 3 ) / 2
We are given a height of 4 cm.
The area of the triangle is therefore :
= ( height ² x √ 3 ) / 2
= ( 4 cm ² x √ 3 ) / 2
= ( 16 x √ 3 ) / 2
= 27. 712 / 2
= 13. 85
The closest option is 16 cm ² so this is the answer.
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