Using the area of a rectangle, the total floor area to be tiled = area of the dinning room + area of the lounge floor = 32 m²
What is the Area of a Rectangle?The area of rectangle = (length)(width).
Total floor area to be tiled = area of the dinning room + area of the lounge floor
Total floor area to be tiled = (4)(5) + (3)(4)
Total floor area to be tiled = 20 + 12
Total floor area to be tiled = 32 m²
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Am thinking of a number,l take away 3 the results is 14.what number is it
Kate is the captain of a large cruise ship. As she
drives the ship, she sits 50 meters above the sea.
Paul is the captain of a boat. He sits 15 meters
above the sea. If the radius of the earth is
6,371,000 meters, how much further can Kate see
across the horizon than Paul?
Kate can see across the horizon by 3.33 times further than Paul.
What is the shape of the horizon?The volume of the cone can be used to determine how far they can see across the horizon from the cone shape.
Using the volume of the cone
[tex]\mathbf{ V=\pi r \dfrac{h }{3}}[/tex]
For Kate:
Height (h) = 50 mRadius (r) = 6,371,000 m[tex]\mathbf{ V=\pi r \dfrac{h }{3}}[/tex]
[tex]\mathbf{ V=\pi \times (6371000)^2 \times \dfrac{50 }{3}}[/tex]
V = 2.12526863 × 10¹⁵ m³
For Paul
Height (h) = 15 mRadius (r) = 6,371,000 m[tex]\mathbf{ V=\pi r \dfrac{h }{3}}[/tex]
[tex]\mathbf{ V=\pi \times (6371000)^2 \times \dfrac{15 }{3}}[/tex]
V = 6.3758059 × 10¹⁴ m³
To determine how much further can kate see across the horizon than Paul, we have:
= 2.12526863 × 10¹⁵ m³/6.3758059 × 10¹⁴ m³
= 3.33 times further.
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help me
?
10
450
15
675
20
900
Answer:
Y=45x
Step-by-step explanation:
Y = f(x)
If you plot a chart, you can find that relation is just a linear relation. So y = mx + c
By putting any one case into the equation, you can find c = 0 and m = 45
Retest the equation for other cases to ensure u are correct
Solve for x and show your steps. Is the solution extraneous? Check your work to show how you determined if the solution is extraneous or not.
The square root of the quantity 2 x minus 7 end quantity equals 1.
Answer:
Solve for x , 1x − 2+1x + 2=4(x − 2)(x + 2) .
1x − 2+1x + 2=4(x − 2)(x + 2)
(x − 2)(x + 2)(x − 2)+(x − 2)(x + 2)(x + 2)=4(x − 2)(x + 2)(x − 2)(x + 2)
(x−2)+(x+2)=4
2x=4
x=2
But 2 is excluded from the domain of the original equation because it would make the denominator of one of the fractions zero--and division by zero is not allowed! . Therefore, it cannot be a root of the original equation. So, 2 is an extraneous solution. So, the equation has no solutions.
Step-by-step explanation:
An equal when substitute x = 4, the solution is not extraneous the solution x = 4 is valid for the original equation.
The equation is: √(2x - 7) = 1
Step 1: Square both sides of the equation to remove the square root:
(√(2x - 7))² = 1²
Simplify:
2x - 7 = 1
Step 2: Add 7 to both sides to isolate the term with "x":
2x - 7 + 7 = 1 + 7
Simplify:
2x = 8
Step 3: Divide both sides by 2 to solve for x:
2x / 2 = 8 / 2
Simplify:
x = 4
Now, we have found that the solution for x is 4.
To check if the solution is extraneous, we need to substitute the value of x back into the original equation and see if both sides are still equal:
Original equation: √(2x - 7) = 1
Substitute x = 4:
√(2(4) - 7) = 1
Simplify:
√(8 - 7) = 1
√1 = 1
1 = 1
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The volume of this cone is 140 cm3
Find the perpendicular height, c.
Give your answer rounded to 1 DP.
х
7 cm
Answer:
x = 10.9 cm
Step-by-step explanation:
Formula for a cone
Volume (cone) = 1/3 × π × (radius)² × heightHere, we are given :
Diameter = 7 cmVolume = 140 cm³Solving
140 = 1/3 × 22/7 × (7/2)² × (x)420 = 11 × 7/2 × (x)77x = 840x = 840/77x = 10.9 cm (1 DP)Answer:
x ≈ 3.6 cm
Step-by-step explanation:
the volume (V) of a cone is calculated as
V = πr²h ( r is the radius and h the perpendicular height )
here diameter = 7 , so r = 7 ÷ 2 = 3.5 , V = 140 and h = x , then
π × 3.5² × x = 140
π × 12.25x = 140 ( divide both sides by 12.25π )
x = [tex]\frac{140}{12.25\pi }[/tex] ≈ 3.6 cm ( to 1 dec. place )
Which number has 3 significant
figures?
A. 15.233
B. 153.2
C. 5.24399
D. 57.2
Answer:
b because it is
Step-by-step explanation:
153.2 is a cool number
Rita wants to save her babysitting money to buy a $249.99 camera. she makes $64.33 a month, and her fixed expenses are $34.50 a month. how do you think she should budget for the camera?
The number of months in which Rita has a budget to buy a camera is 8 and a half months if Rita wants to save her babysitting money to buy a $249.99 camera.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
Rita wants to save her babysitting money to buy a $249.99 camera. she makes $64.33 a month, and her fixed expenses are $34.50 a month.
Let x be the number of months in which Rita has a budget to buy a camera.
The linear equation in one variable can be framed as follows:
(64.33 - 34.50)x = 249.99
29.83x = 249.99
x = 8.38 = 8.5
Thus, the number of months in which Rita has a budget to buy a camera is 8 and a half months if Rita wants to save her babysitting money to buy a $249.99 camera.
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help me pls pls pls pls pls pls
Answer:
2.25 square inches
Step-by-step explanation:
SOLUTION,
HERE,
AREA OF SQUARE = L²
=(1.5)²
= 2.25 INCHES²
Answer:
2.25 inches
Step-by-step explanation:
The area of a square is two of its sides multiplied together. Each side is 1.5 inches. If you multiply 1.5x1.5, you get 2.25 inches.
Determine the following for each sinsusoidal functions
Answer
whats the question
Step-by-step explanation:
Find the constant of proportionality for the relationship plotted in the distance versus time graph shown below, and hence predict the distance covered at 10 seconds.
Answer: The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other. Once you know the constant of proportionality you can find an equation representing the directly proportional relationship between x and y, namely y=kx, with your specific k.
Step-by-step explanation:
Does anybody know the other two? QSRT is a Rectangle find the lengths of the following sides
Answer:
/TS/=12cm
/QP/=
/QR/²=16²+12²
/QR/²=256+144
/QR/²=400
/QR/=√400
/QR/=20
/QP/=20/2=10
let /PT/ be x
hyp²=opp²+adj²
16²=20²+x²
x²=400-256
x²=144
x=√144
x=12.
Plsss HELP ASAP WILL GIVE POINTS AND BRAILEST I WILL DO IT ASAP
Jayden wants to fence a rectangular area for his garden. The length of the garden should be at least 4 ft shorter than the width. And the distance around should be no more than 32 ft. Let x = length Let y = width Write two inequalities that model this problem and enter them below.
The two inequalities will be L>W-4 and (L x W) ≤ 32.
What is an area?The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.
It is given that:-
The length of the garden should be at least 4 ft shorter than the width
The distance around should be no more than 32 ft
The two inequalities will be as follows:-
a)The length of the garden should be at least 4 ft shorter than the width
L>W-4
b)The distance around should be no more than 32 ft
(L x W) ≤ 32.
Hence the two inequalities will be L>W-4 and (L x W) ≤ 32.
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What is the rule for the following sequence of numbers: 2, 7, 17, 37, ?
Answer:
The rule is "add 5, add 10, add 20" and the rule keeps doubling.
HELLPPPPPP!!!
Change 36.2% to a fraction.
A. 181/50
B. 181/500
C. 180/50
D.18/50
Answer:
B - 181/500
Step-by-step explanation:
To convert percentages to fractions you divide by 100. That would make this 36.2/100. But we dont like fractions with decimal points in so you would multiply the whole thing by 5 to get rid of the .2 this makes the answer 181/500
Answer:
181/500
Step-by-step explanation:
Firstly do
362/1000 so their is no decimals
then
181/500 which is your answer
The figure shown is a rectangle. If you draw a new rectangle in which the dimensions are doubled, what is the relationship between the AREAS of the two rectangles? A) The area of the new rectangle is twice that of the original rectangle. B) The area of the new rectangle is one-half that of the original rectangle. C) The area of the new rectangle is four times that of the original rectangle. D) The area of the new rectangle is eight times that of the original rectangle.
Answer:
Step-by-step explanation:
Givens
L = 5
w = 3
Formula
Area = L*w
Solution
Area = 3 * 5
Area = 15
Now double both the width and the Length.
New Length = 2*5 = 10
New Width = 2 * 3 = 6
Area = New Length * New Width
Area = 10 * 6
Area = 60
Answer (look at the choices)
The old rectangle has an area of 15. The new Rectangle has an area of 60. If you double 15, do you get 60. No, so the answer is not A
The new rectangle is 60. If you halve it, do you get 15. No so the answer is Not B
C is the answer
D is you multiply 8 * 15, do you get 60? No so the answer is not D
Find the volume of the prism. Please help!
Answer:
288
Step-by-step explanation:
1/2*B*H
1/2*(6*12)*8
1/2*72*8
1/2*576
288
Answer:
[tex]V=288\ cm^2[/tex]
Step-by-step explanation:
Step 1: Determine the volume
[tex]V = \frac{b*h}{2}[/tex]
[tex]V = \frac{(6\ cm * 12\ cm) * (8\ cm)}{2}[/tex]
[tex]V = \frac{72\ cm*8\ cm}{2}[/tex]
[tex]V=\frac{576\ cm^2}{2}[/tex]
[tex]V=288\ cm^2[/tex]
Answer: [tex]V=288\ cm^2[/tex]
Determine the equation of the circle graphed below.
Answer:
(x-6)^2+(y-5)^2=16
Step-by-step explanation:
Focus on the center point ONLY and change the signs of those numbers to negative for your equation. Count how much the outer circle moves back (which is 4) and times that as your radius
In a survey of 100 people, 65 read the Kantipur or gorkhapatra, 10 read the Himalaya Times only. How many people didn't read all three papers?
Answer:
25Step-by-step explanation:
the number of people that read the Kantipur or gorkhapatra or the Himalaya Times = 65 + 10 = 75
Then
The number of people that didn't read all three papers = 100 - 75 = 25
What is equal to 3 tons 2000 pounds 5000 pounds 6000 pounds 300 pounds
Answer:
6000 pounds or lbs.
Step-by-step explanation:
A ton=2000 lbs.
Hope this helps! ;-)
What is the length of BD?
Round to one decimal place.
Answer:
4.0
Step-by-step explanation:
Here is one way
By pythag theorem AD = sqrt (5,5^2 - 4.3^2) =3.42928564
Then pythag theorem again for the lower triangle
BD = sqrt (5.3^2 - 3.42928564^2) = 4.041
At Everyday Donuts, 3 of the last 6 donuts sold had sprinkles. Considering this data, how many of the next 10 donuts sold would you expect to have sprinkles?
__5___Sprinkles
THAT IS THE ANSWER
If 10 donuts are sold. Then the expected value of the number of sprinkles will be 5.
How to find that a given condition can be modeled by binomial distribution?Binomial distributions consist of n independent Bernoulli trials.
The expected value will be given as
E(X) = np
At Everyday Donuts, 3 of the last 6 donuts sold had sprinkles. Considering this data.
If 10 donuts are sold.
Then the number of the sprinkles will be
The probability will be
p = 3/6
p = 0.5
n = 10
Then the expected value of the number of the sprinkles will be
E(x) = 10 x 0.5
E(x) = 5
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What number am i?7 times two digit number equals 4 times number with the digit reversed .the sum of the digits is 3.
Answer:
12
Step-by-step explanation:
7 times 12 is 84. 4 times 21 is 84. The digits have a sum of 3.
complete the process of solving the equation 5t+8=63 subtract 8 from both sides of the given equation
Answer:
t=11
Step-by-step explanation:
so to start we subtract 8 from both sides to get...
5t=63-8
5t=55
now we just divide 5 from both sides so we just have t
t=11
Answer:
t=11
Step-by-step explanation:
Subtract 8 from both sides to get 5t=55 then divide by 5 to get t=11
Round this number to the nearest one.
87.6
ANWER:
rounded o the nearesr tens is 88.6
Answer:
88
Step-by-step explanation:
Because 6 is greater than 5 it will rounded off and 87.6 = 88
what is the GCF of 5 and 14
Answer:
1, because 5 and 14 are divisible by no other number except themselves in this instance only, and for this case, that only number is 1.
Your answer is 1.
Hope this helps
Given that f(x)=x3, find
Answer:
(f ∘ f)(–1) = –1
Step-by-step explanation:
To solve a composite function, rewrite using brackets and solve from inside to outside.
(f ∘ f)(x) is the same as: f[f(x)]
Given that x = –1 in (f ∘ f)(–1), we are solving for:
f[f(–1)] = ?
Solve for f(–1) inside the square brackets first.
f(x) = x³
f(–1) = (–1)³ Simplify.
f(–1) = –1 Solved the inside.
Substitute f(–1) = –1 into the square brackets.
f[f(–1)] = f[–1]
Now, we can solve the outside.
Solve with the equation of the function, x³.
f[–1] = x³
f[–1] = [–1]³ Substitute x = –1.
f[–1] = (–1)³ Simplify.
f[–1] = –1 Final answer
Find the approximate volume of a cylinder that has a radius of 4 inches and a height of 6 inches. Use 3.14 for Pie
150.72 cubic inches
163.28 cubic inches
301.44 cubic inches
452.16 cubic inches
7. Graph the equation using the slope and the y-intercept.
Please help
Answer:
See below ~
Step-by-step explanation:
help for 10 points that is all i have
Answer:
22 in. and o.5 ft i think so
The graph of the function above is shown below. Which of the following statements about f(x) is true? A. The function f(x) does not have an inverse because it never crosses the x-axis. B. The function f(x) has an inverse because it passes the horizontal line test. C. The function f(x) does not have an inverse because it does not pass the horizontal line test. D. The function f(x) has an inverse because it passes the vertical line test.
Answer:
The correct answer is b)
Step-by-step explanation: