The number of fifteenths which are contained in 2/5 as required to be evaluated in the task content is; 6.
What is the number of fifteenths which are present in 2/5 as required in the task content?It follows from the task content that the number of fifteenths which are contained in 2/5 as required is to be computed.
Given;
2/5.
To find;
How many fifteenths?
Hence, the number of fifteenths in 2/5 as required can be evaluated as follows;
2/5 ÷ 1/15
= 2/5 × 15/1
Multiply the numerators and denominators accordingly;
= 30/5
= 6.
Ultimately, the number of fifteenths in 2/5 is; 6.
Therefore, The number of fifteenths which are contained in 2/5 as required to be evaluated in the task content is; 6.
This concept follows from the division of fractions as in arithmetic operations.
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The distance from Earth to the moon is 2.4 × 105 miles. The distance from Earth to the sun is 9.3 × 107 miles.
Complete the sentence by typing numbers in the boxes.
The distance from earth to the sun is 387.5 times greater than the distance from the earth to the moon.
How many times greater is the distance from Earth to the Sun than Earth to the Moon?Given Data;
The distance from earth to the sun = 9.3 x 10⁷ miles
The distance from the earth to the moon = 2.4 x 10⁵ miles
The distance ES to EM
Then we need to divide the distance from earth to the sun by the distance from the earth to the moon
= 9.3 x 10⁷ miles / 2.4 x 10⁵ miles
= 387.5 times is greater.
Therefore, The distance from earth to the sun is 387.5 times greater than the distance from the earth to the moon.
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The diagram shows a rectangular garden path.
Ziad is going to cover the path
with paving stones.
Each paving stone is a square
of side 40 cm.
Each paving stone costs £4.50
Ziad has £280 to spend on paving stones.
Does Ziad have enough money to buy all the paving stones? Yes/No Yes
You must show your working.
Area of a Rectangle
800 cm
View One Minu
120 cm
He has enough money to buy all the paving stone for the rectangular garden.
How to use area to know if the stone is enough for the rectangular path?The garden path is rectangular.
He wants to cover the path with a paving stone. The paving stone is square in shape and have side of 40 cm.
Therefore,
area of the square stone = l²
where
l = side lengthTherefore,
area of the square stone = 40²
area of the square stone = 1600 cm²
area of the rectangular garden = lw
where
l = lengthw = widthTherefore,
area of the rectangular garden = 800 × 120
area of the rectangular garden = 96000
area of the rectangular garden = 96000 cm²
Therefore,
number of paving stone required = 96000 / 1600
number of paving stone required = 60
Hence,
cost of covering the path = 4.50 × 60 = £ 270
Therefore, he has enough money to buy all the paving stone for the rectangular garden.
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each side of the base of a right octagonal prism is 7 in. long. the altitude of the prism measures 12 in. find the lateral area.
The lateral area of the right octagonal prism is 672 square inches
How to determine the lateral areaThe formula for lateral area of a right octagonal prism is expressed as;
Lateral area = 8ah
Where;
a is the side length = 7 Inchesh is the height of the prism = 12 InchesSubstitute the values into the formula
Lateral area = 8 × 7 × 12
Multiply through
Lateral area = 672 square inches
Thus, the lateral area of the right octagonal prism is 672 square inches
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HELP PLS
Drag and drop the words into the correct locations.
Answer:
d,c,a,b
Step-by-step explanation:
Make a line graph with this data. Note: It is helpful to make data points for each individual
and then draw a line that best goes through those points.
2)
Individual
Height (cm)
Weight (kg)
A
155
60
150
59
C
168
85
D
190
85
E
182
78
F
177
80
G
165
63
H
187
80
2a -c = d-r, solve for a
HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!??
The measure of angle 1 is 76⁰, the measure of angle 2 is 104⁰, the measure of angle 3 is 76⁰ and the measure of angle 4 is 104⁰.
Sum of angles in circleThe sum of angles in a circle is 360 degrees.
In other words, we can say that, the sum of the measures of the central angles of a circle with no points in common is 360 degrees.
In the given diagram, angle 1, angle 2, angle 3 and angle 4 will sum to 360 degrees.
m∠1 + m∠2 + m∠3 + m∠4 = 360⁰
another interesting to observe is that;
m∠1 = m∠3
m∠2 = m∠4
if m∠1 = 76⁰, then
m∠3 = 76⁰
m∠2 + m∠4 = 360 - (76 + 76)
m∠2 + m∠4 = 208
m∠2 = m∠4 = 208/2 = 104⁰
Thus, the measure of angle 1 is 76⁰, the measure of angle 2 is 104⁰, the measure of angle 3 is 76⁰ and the measure of angle 4 is 104⁰.
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A student ran a distance of 2 1/2 miles each day for 5 days. Then the student ran a distance of 3 1/4 miles each day for the next 5 days. What was the total distance in miles the student ran during these 10 days?
- - - - - - - - - - - - - - - - - - - - - - - -
First I'd like to convert the fractions into decimals.
2 1/2 = 2.5
3 1/4 = 3.25
Now, multiply each number by how many days that distance was reached.
2.5 x 5 = 12.5
3.25 x 5 = 16.25
We add our products:
28.75 (28 3/4)
- - - - - - - - - - - - - - - - - - - - - - - -
Good luck! :)
(Consider leaving a Brainliest if this helped!)
~pinetreee
with show work needed please! a and b.
Part (a)
r = radius
h = height = 5r
SA = Surface area of a cylinder
SA = 2pi*r^2 + 2pi*r*h
SA = 2pi*r^2 + 2pi*r*5r
SA = 2pi*r^2 + 10pi*r^2
SA = (2pi+10pi)*r^2
SA = 12pi*r^2
Answer: 12pi*r^2====================================================
Part (b)
r = radius
h = height = 5r
V = volume of a cylinder
V = pi*r^2*h
V = pi*r^2*5r
V = 5pi*r^3
Set this equal to the stated volume of 1715pi cubic cm and solve for r.
The pi terms cancel
So,
V = 5pi*r^3
1715pi = 5pi*r^3
1715 = 5r^3
r^3 = 1715/5
r^3 = 343
r = CubeRoot(343)
r = 343^(1/3)
r = 7
Answer: The radius is 7 cma board measures 212 inches. how many feet is this? [ ? ] ft. give your rounded answer with one decimal place.
The board measures 212 inches which is equal to 17.7 feet.
Measurement:
Measurement is used to identify the quantity of the object.
Each object has its own measurements, like solid objects are measured using grams and the liquid one are measured using liters, etc.
For example,
We can buy the vegetables in grams because they are solid objects.
Instead, we have buy the milk in liters because they are liquid.
Given,
A board measures 212 inches.
Here we need to convert this into feet.
We know that,
1 inch = 0.0833333 feet.
So, 212 inches is equal to,
=> 212 x 0.0833333
=> 17.6667 feet.
Here we have to round the answer with one decimal place.
So, that is,
=> 17.7 feet.
Therefore, the board measurement in feet is 17.7 feet.
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A large window is made of a semicircle and a square. The square section is made of 9 square window panes. The builder wants to buy glass for each of the parts of the window.
a. What is the area, in square inches, of the semicircular pane of glass the builder needs? Round the answer to the nearest tenth, if necessary. You can disregard the width of the white window trim in your calculations.
_____in^2
b. What is the area, in square inches, of each of the 9 panes of glass for the square part of the window? Round the answer to the nearest tenth, if necessary.
_____in^2
c. What is the perimeter, in inches, of the entire window? Round the answer to the nearest tenth, if necessary.
_____in.
The 2 ft 3 in. semicircular section of the window and the 4 ft 6 in. by 4 ft 6 in. of the square section gives;
a. The area of the semicircular pane is approximately 1145.1 in.²
b. The square section is 2916
c. The entire window has a perimeter of approximately 354.82 inches
How can the area and the perimeter of the shapes be found?a. The given radius of the semicircular pane, r = 2 ft. 3 in. = 27 in.
The area of a semicircle, A = 0.5•π•r²The area of the semicircular pane is therefore;
A = 0.5 × π × 27² ≈ 1145.1
The area of the semicircular pane is approximately 1145.1 in.²b. The area, A, of the 9 panes of glass, disregarding the window trim is found using the equation for the area of a square, as follows;
A = Side × Side
The area of the 9 panes is therefore;
A = 4 ft. 6 in. × 4 ft. 6 in.
Which gives;
A = 54 in. × 54 in. = 2916 in.²
The area of the square section is 2916 in²c. The perimeter of the entire window, P, is given by the sum of the perimeter of the semicircular pane, P1, and the perimeter of the 9 square window panes, P2, as follows
P1 = 54 + π×27
P2 = 4 × 54
P = P1 + P2Which gives;
P = 54 + π × 27 + 4 × 54 ≈ 354.82
The perimeter of the entire window is approximately 354.82 inches.Learn more about finding the area of a plane figure here:
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from the top of a 160-ft lighthouse, the angle of depression to a ship in the ocean is 26°. how far is the ship from the base of the lighthouse? (round your answer to the nearest foot.)
The distance between both the ship and the lighthouse's base is 328 feet.
What is considered as angle of depression?If a line of sight is slightly down from the horizontal line, it forms an angle with the horizontal line. If the object being observed is below the observer's level, the angle formed between both the horizontal line and also the observer's lines of sight is known as the angle of depression.
Given the circumstances, a right angle triangle is constructed. The lighthouse's height represents the right angle triangle's opposite side.
The adjacent side of a right angle triangle is represented by the horizontal distance, h, between both the ship and thus the base of the lighthouse.
Because they are opposite angles, is if angle of depression to the fire is 26°, the angle of elevation of a lighthouse from the ship is also 26°.
To calculate h, we would use
the trigonometric tangent ratio;
Tan θ = opposite side/adjacent side. Therefore,
Tan 26 = 160/h
h = 160/tan26 = 160/0.4877
h = 328 feet
Therefore, the distance between the ship and the base of the light house is 328 feet.
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The formula for simple interest is i = prt, where i is the interest earned,p is the principal, r is the interest rate and t is the number of years. solve the formula for p in terms of r, i and y.
The principal in terms of Simple Interest, Time, and Rate can be expressed as p=(i×100)/(r×t).
Whenever a loan is given to a person it is given for some specific amount of time at a specific rate of interest which is to be paid along with the principal amount. Simple Interest is the method of calculating the interest amount on a loan given for a specific period.
It involves the multiplication of the principal amount, rate of interest, and the time for which the loan is given divided by 100.
Here Simple interest is denoted by i, time in years is denoted by t, the principal is denoted by p, and the rate of interest is denoted by r.
The formula of simple Interest is given by:
Simple interest = (Principal×Rate×Time)/100
i=(p×r×t)/100
Now principal can be denoted as:
p=(i×100)/(r×t)
Thus, the Principal in terms of Simple Interest, Time, and Rate can be expressed as p=(i×100)/(r×t).
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Kindly solve these in copy and send pic !! Plis urgent
Answer:
log(m) - log(n) + 1/2 log(p)
log(m/n) + log(√p)
log[(m*√p)/n]
Use the data to make a frequency table.
7. wing spans (cm): 150 126 139 144 125 149 133 140 142 149 150 127 130
8. marathon times (min): 135 211 220 180 175 161 246 201 192 167 235 208
9. top speeds (mi/h): 108 90 96 150 120 115 135 126 165 155 130 125 100
Answer:
Step-by-step explanation:
What steps should be taken to complete the conversion?
8mi/1 × 1.61k/1mi × 1000m/1k
Answer:
c
Step-by-step explanation:
Which is the correct definition of perpendicular lines?
A. A part of a line that is bounded by two distinct endpoints.
B. A set of points that extends infinitely in two directions.
C. Two lines that intersect at a right angle.
D. Two lines that never cross.
(Note: the selected answer is the image is not guaranteed to be correct)
By definition of perpendicularity, plane, point and line, we find that two lines are perpendicular if they intersect at a right angle. (Correct choice: C)
When are two lines on a plane perpendicular?
According to Euclidean geometry, two pairs of opposite angles are created by generating two lines with different slopes on the same plane. Two lines with same slope never cross on the plane and are known as parallel lines.
Opposite angles have the same measure and the two lines are perpendicular to each other if and only if each pair of opposite angles are right angles. Right angles have a measure of 90° (π / 2 radians), then each of the four angles must have a measure of 90° (π / 2 radians).
In summary, two lines set on a plane are perpendicular to each other if they intersect at a right angle.
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Determine whether the conclusion is based on inductive or deductive reasoning.A person must have a membership to work out at a gym. Jesse is working out at a gym. Jesse has a membership to the gym.
The fact that Jesse is working out at a gym mean that Jesse has a membership to the gym. Therefore, this is a deductive reasoning.
What is a deductive reasoning?It should be noted that the deductive reasoning is when one arrives at conclusion based on the information that was given earlier.
Based on the information given, it should be noted that one can only work out at the gym if the person has a membership. An individual without a membership will be unable to work out.
In this case, the fact that Jesse is working out at a gym mean that Jesse has a membership to the gym. Therefore, this is a deductive reasoning.
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Find the value of n
(3√2)2=2n
Answer:
3√2
Step-by-step explanation:
divide both sides by 2
3√2 = n
Answer:
n = 9
Step-by-step explanation:
note that ([tex]\sqrt{a}[/tex] )² = a , then
(3[tex]\sqrt{2}[/tex] )² = 2n
3 × 3 × [tex]\sqrt{2}[/tex] × [tex]\sqrt{2}[/tex] = 2n
9 × 2 = 2n
18 = 2n ( divide both sides by 2 )
9 = n
One year, the population of a city was 117,000. Several years later it was 136,890. Find the percent increase.
Answer: 17%
Step-by-step explanation:
136,890-117,000=19,890
19,890/117,000=0.17
0.17*100=17% increase in the city population
Write an equation in slope-intercept form for the line parallel to the given line
that passes through the given point.
y = - 4x + 5, (0,4)
A. Y= -4x + 4
B. y = -1/4x + 4
C. Y= 1/4x + 4
D. Y= 4x + 4
===========================================================
Explanation:
The given equation y = -4x+5 has a slope of -4. Compare it to y = mx+b and m is the slope.
Parallel lines have equal slopes, but different y intercepts. The answer will have a slope of -4.
The point we want the answer to go through is (x1,y1) = (0,4)
We'll plug the following values
m = -4x1 = 0y1 = 4into the point slope formula below. Solve for y.
y - y1 = m(x - x1)
y - 4 = -4(x - 0)
y - 4 = -4x
y = -4x+4 which is choice A
Ian invested $2500 in a vehicle that earns 4%interest a year. the amount of money,a is his account as a function of the # of years. t since creating the account is given by the equation a(t)=2500(1.04) evaluate
The value of 't' that is nearest entire year is
18 years
Ian made a vehicle investment of $2500.
that would ensure an annual interest rate of 4%.
the function for this A(t)=2500(1.04).
Find the value of t that makes the equation A(t)=5000 true, to the nearest whole year, using the tables on your calculator.
Give numerical support for your response.
Ian invested $2500
yearly interest 4%
function is A(t)=2500(1.04)
equation A(t)=5000.
[tex]A(t)=2500\times(1.04)^t[/tex]
A ( t ) = 5000
[tex]5000=2500\times(1.04)^t[/tex]
[tex](1.04)^t=5000:2500[/tex]
[tex](1.04)^t=2[/tex]
t = 17.68 ≈ 18
The value of t is 18 years.
Therefore, The value of 't' that is nearest entire year is
18 years
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Convert the percent to a reduced fraction, mixed number, or whole number.
0.2%
Answer:
2/10 or 20
Step-by-step explanation:
the only one i could figure out was the reduced fraction and the whole
important please answer this only one i need
Answer:
B
Step-by-step explanation:
please help asap!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
∠ B = 23°
Step-by-step explanation:
vertical angles are congruent , so
∠ B = ∠ A , that is
5x - 17 = x + 15 ( subtract x from both sides )
4x - 17 = 15 ( add 17 to both sides )
4x = 32 ( divide both sides by 4 )
x = 8
Then
∠ B = 5x - 17 = 5(8) - 17 = 40 - 17 = 23°
Vertically opposite angles are equal
So,[tex]x + 15 = 5x - 17 \\ 15 + 17 = 5x - x \\ 32 = 4x \\ x = 8[/tex]
Therefore;[tex] \sf \: \angle \: a = x + 15 = > 8 + 15 = 23 \degree[/tex]
[tex] \sf \: \angle \: b= 5x - 17 = > 5 \times 8 - 17 = > 40 - 17 = 23 \degree[/tex]
-135.4 + 78 1/2 =___
HELP PLEASE DUE IN A LIL BIT 20 POINTS
I WASNT HERE WHEN THEY WENT OVER THIS LESSON LOL
Answer:
x=-19
Step-by-step explanation:
For solving for x you will have to use inverse operations
-6=(-5+x)/4
-6(4)=-5+x
-6(4)+5=x
-19=x
x=-19
Find the equation of the line.
Use exact numbers.
y= x+
Answer:
y = 3/4x -2
Step-by-step explanation:
We first find the slope of the line using two points
(0,-2) and (8,4)
m = ( y2-y1)/(x2-x1)
m = ( 4---2)/(8 - 0)
= (4+2)/(8)
= 6/8
= 3/4
We can write the equation in slope-intercept form using
y = mx+b where m is the slope and b is the y-intercept
b is where it crosses the y axis. It crosses at -2
y = 3/4x -2
Evaluate √b-4ac for the given values of a, b, and c, and simplify.
a=2, b=4, and c= 10
The result is ?
Answer:
8i
Step-by-step explanation:
[tex] \sqrt{ {4}^{2} - 4(2)(10)} [/tex]
[tex] \sqrt{16 - 80} [/tex]
[tex] \sqrt{ - 64} = 8i[/tex]
a powdered drink calls for 3 scoops powder to 8 ounces of water. how much powder do you need if you have 32 ounces of water
Answer:
12
Step-by-step explanation:
This is a ratio problem where 3 is to 8 as x is to 32. Set up as fractions and solve:
3/8 = x/32 solve for x