Answer:
20 feet
Step-by-step explanation:
48 inches is equivalent to 2 feet
so basically 10 x 2 gets you 20 feet
A community hall is in the shape of a cuboid. The hall is 40 m long, 15 m wide and 3 m high. The community hall needs re-decorating with new paint for the walls and ceiling, and new tiles on the floor. 3 m A 10 litre tin of paint covers 25 m² and costs £10. 1 m² floor tiles cost £3 each. Work out the total cost of paint and tiles needed to re-decorate the community hall. 40 m 15 m
Based on the above, the total cost of refurbishing the community hall would be £1,032
How to calculate the value of the materials required to remodel the community hall?To calculate the value of the materials required to remodel the community hall we must carry out the following procedure:
Find the area of the living room walls:
40 * 3 = 1203 * 15 = 4545 * 2 = 90120 * 2 = 240240 + 90 = 330m²According to the above, the total area of the walls would be 330m². To know the number of cans of paint we need would be:
330m² / 25m² = 13.2 cans13.2 * £10 = £132On the other hand, to calculate the value of the floor tiles we must carry out the following procedure:
Calculate the floor area:
15 * 40 = 600m²600m² * 1 = 600m²600m² * £3 = £900Finally, to know the total value we must add both values:
£900 + £132 = £1,032Note: This question is incomplete. Here is the complete information:
Attached image
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write a linear equation that is perpendicular to y=-3/5x-4 and passes through the point (3,-2).
Help pls
Answer:
Y=5/3x-7
Step-by-step explanation:
Y=5/3x+k
as it has (3,-2) as a point.
-2=5/3*3+k
or, k= -7
Help please !??? This is kinda confusing
1. To find the original number divide the given number by the percentage ( written as a decimal)
5 / 0.67 = 7.462686567
Round the answer as needed.
2. Divide the smaller number by the larger number then multiply by 100 to get percent:
43.8 / 52 = 0.8423076923
0.8423076923 x 100 = 84.23076923%
Round answer as needed.
5. Multiply the given number by the percent( written as a decimal)
152 x 1.8 = 273.6
1. The Fibonacci sequence In the 13th century, the Italian mathematician Leonardo Fibonacci-as a way to explain the geometic growth of a population of rabbits-devised a mathematical sequence that now bears his name. The first two terms in this sequence, Fib(0) and Fib(1), are 0 and 1, and every subsequent term is the sum of the preceding two. Thus, the first several terms in the Fibonacci sequence look like this: Fib(0) = 0 Fib(1) = 1 Fib(2) = 1 (0+1) Fib(3) = 2 (1+1) Fib(4)= 3 (1+2) Fib(5)=5 (2+3) Write a program that displays the terms in the Fibonacci sequence, starting with Fib(0) and continuing as long as the terms are less than 10,000. Thus, your program should produce the following numbers: 0 1 1 2 3 5 8 13 21 34 55 89 144 233 377 610 987 1597 2584 4181 6765 This program continues as long as the value of the term is less than the maximum value, so that the loop construct you need is a while, presumably with a header line that looks like this: while term
To display the terms in the Fibonacci sequence, starting with Fib(0) and continuing as long as the terms are less than 10,000, a program is written with a loop construct. This loop is implemented using a `while` loop with a header line that looks like this: `while term < 10000:`.
Fibonacci sequence is named after the Italian mathematician Leonardo Fibonacci who developed a mathematical sequence in the 13th century to explain the geometric growth of a population of rabbits.
The first two terms in this sequence, Fib(0) and Fib(1), are 0 and 1, and every subsequent term is the sum of the preceding two.
The first several terms in the Fibonacci sequence are:
Fib(0) = 0, Fib(1) = 1, Fib(2) = 1, Fib(3) = 2, Fib(4)= 3, Fib(5)=5.
This program continues as long as the value of the term is less than the maximum
The output is as follows:
```1 2 3 5 8 13 21 34 55 89 144 233 377 610 987 1597 2584 4181 6765```
The while loop could also be used to achieve the same goal.
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home plate at a baseball field is in the shape of a pentagon. three of the interior angles are right angles, the other two angles have equal measures. what are the measures of the interior angles of home plate
Three right angles are 270, the rest of two angle are 135 degree for each.
What is right angle triangle explain?
A right-angled triangle is a particular kind of triangle in which one of the angles is 90 degrees. The combined angles of the other two are 90 degrees. Perpendicular and the triangle's base are the sides that make up the right angle. The longest of the three sides, known as the hypotenuse, is the third side.it is not a diamond shape. it is five angles, five sides.
sum of 5 angles is 540
three right angles are 270, the rest of two angle are 135 degree for each.
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if two pizzas cost $14.50 how much will 15 pizzas cost
Answer:
108.75
Step-by-step explanation:
7.25 x 15 = 108.75
Please please please please help me someone
Answer:
That incorrect
Step-by-step explanation:
Yes
The temperature in London was -1º C. The next day it fell by a further 4ºC. What was the new temperature?
Answer:
-5
Step-by-step explanation:
Given:
-1°c
Fell further 4°c (Fell Further mean negative so -4)
Solve:
-4 + -1 = -5
plzz help 15 points.. .. . .
Answer:no solution
Step-by-step explanation:
How large should nn be to guarantee that the Simpson's rule approximation to ∫10ex2 dx∫01ex2 dx is accurate to within 0.000010.00001?
By Simpson's rule approximation, n should be at least 17 to guarantee that the Simpson's rule approximation is accurate to within 0.00001.
To guarantee that the Simpson's rule approximation to the integral ∫₀¹ e^(x²) dx is accurate to within 0.00001, you need to consider the error bound formula for Simpson's rule:
Error ≤ (K * (b - a)⁵) / (180 * n⁴)
In this case, a = 0, b = 1, and the desired error bound is 0.00001. The function to integrate is f(x) = e^(x²). To find the value of K, you need to determine the maximum value of the fourth derivative of f(x) on the interval [0, 1].
After calculating the fourth derivative, you'll find that K is less than or equal to 12 (K ≤ 12). Plug these values into the error bound formula:
0.00001 ≥ (12 * (1 - 0)⁵) / (180 * n⁴)
Solve for n:
n⁴ ≥ (12 * 1⁵) / (180 * 0.00001)
n⁴ ≥ 66666.67
n ≥ ∛√66666.67
n ≥ 16.10
Since n must be an integer, round up to the nearest whole number. Thus, n should be at least 17 to guarantee that the Simpson's rule approximation is accurate to within 0.00001.
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How do you find the sides of a 45 45 90 triangle when given the hypotenuse?
The value of the legs of the triangle would be hypotenuse/√2 and trignometric angle are 45 degree
You can use basic trigonometry to solve this problem. We know that the sine of the angle made by the hypotenuse and the base is equal to the ratio of perpendicular height and the hypotenuse, given that the angle is 45° the perpendicular will be equal to ⇒ hypotenuse × sin(45°).
That is perpendicular=hypotenuse/√2
Similarly, the cosine of the angle made by the hypotenuse and the base is equal to the ratio of base length and the hypotenuse, given that the angle is 45° the base will be equal to ⇒ hypotenuse × cos(45°)
That is base=hypotenuse/√2
Therefore, the value of the legs of the 45°-45°-90° triangle would be hypotenuse/√2.
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7(3a + 116)
=
?
+
?
math
This equation shows that when we multiply 7 to the sum of 3a and 116, we get the sum of 21a and 812.
The expression 7(3a + 116) represents a mathematical equation where we need to find the sum of two unknown values that make the equation true.
To solve for the missing values, we first simplify the expression by distributing the 7 to the terms inside the parentheses, giving us:
7(3a + 116) = 21a + 812
Now we can see that the missing values are 21a and 812, so the complete answer is:
7(3a + 116) = 21a + 812.
This equation shows that when we multiply 7 to the sum of 3a and 116, we get the sum of 21a and 812. This equation can be useful in solving problems involving algebraic expressions and simplification.
In general, it is important to understand the properties of numerical expressions in mathematics to effectively solve problems. Distributive property is one of them which tells us how to multiply a term with a sum or difference of terms. By understanding the distributive property, we can simplify expressions and solve equations more efficiently.
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You pick a ceratin amiunt of
Answer:
Okay so if your current scores are 93, 97, 89 and 81, You would have to score at least a 90. Even if you scored a 100%, the highest you would be able to make is a 92 average.
Step-by-step explanation:
Here's the thing about average, all you do is take all of the numbers, add them up, then divide them by the number of numbers there are.
For example, 93 + 97 + 89 + 81 = 360. There are 4 numbers so you would take 360 and divide it by 4 which gets you 90. 90 is your average.
To figure out the highest score you are able to get, take the highest score you can possibly score (100) and add it to the mix. 93 + 97 + 89 + 81 + 100 = 460. Now, there are 5 numbers. So you take 460 and divide it by 5 which will get you 92.
Hope I helped.
What is the radius of the circle, given that the central angle measure 120 degrees and the length of the subtended arc 87? (round to the nearest whole number if necessary.)
The radius of the circle is approximately 41 units.
We can use the formula relating the central angle, subtended arc length, and radius of a circle:
arc length = radius x central angle (in radians)
Since the central angle is given in degrees, we first need to convert it to radians by multiplying by pi/180:
120 degrees x pi/180 = 2/3 pi radians
Substituting the given values into the formula and solving for the radius, we get:
87 = r x (2/3 pi)
r = 87 / (2/3 pi)
r ≈ 41 (rounded to the nearest whole number)
Therefore, the radius of the circle is approximately 41 units.
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If Sabrina has seven letters, with no repeats, how many possible arrangements are there with the seven letters.
Answer:
5040
Step-by-step explanation:
There are 7 possibilities for the first spot, 6 for the second, etc.
7*6*5*4*3*2*1=5040
answer the 2 questions in the photo
Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.
I don't want links.
I don't want links.
I don't want links.
Answer:
Step-by-step explanation:
5\(x^{2}\) + 45x - 50
5 ( \(x^{2}\) + 9x - 10 )
(x-1) (x+10)
x = 1
x = -10
blank 1 ) gfc = 1
blank 2) 9x
blank 3) -10
X is normally distributed random variable with a mean of 5 and a variance of 4. The probability that X is greater than 10.52 is?
The probability that X is greater than 10.52 is approximately 0.0029.
How to find probability that X is greater than 10.52?We can start by standardizing the normal distribution using the z-score formula:
z = (X - μ) / σ
where X is the random variable, μ is the mean, and σ is the standard deviation. In this case, we have:
X ~ N(5, 4)
μ = 5
σ =\(\sqrt(4)\) = 2
So, the z-score for X = 10.52 is:
z = (10.52 - 5) / 2 = 2.76
We can then use a standard normal distribution table or calculator to find the probability that Z is greater than 2.76.
Using a standard normal distribution table, we find that this probability is approximately 0.0029.
Therefore, the probability that X is greater than 10.52 is approximately 0.0029.
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What is the image of (0, -3) after a dilation by a scale factor of 1/3 centered at th origin?
best answer gets brainliest
The image of (0, -3) with a dilation by a scale factor of 1/3 is (0, -1).
What are coordinates in a graph?The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.
We have,
(0, -3)
Dilation by a scale factor of 1/3.
This means,
(0, -3) = (1/3 x 0, 1/3 x (-3) )
(0, -3) = (0, -1)
Thus,
The image is (0, -1).
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Help Please I need help please
Answer:
$361.68
Step-by-step explanation:
First we'll express the price after the discount:
\(370\times0.85\)
Then we'll express the price after the markup:
\((370\times0.85)\times 1.15\\=361.675\\\approx361.68\)
Drag each sentence to the correct category Determine the type of account that each description applies to. If no deposits or withdrawals are made, money held in this account may increase or decrease. There is no risk of losing any money put in this account. Interest income is the only way to earn money in this type of account. This account may generate income from a variety of sources. into saving account and investment accoun
Answer:
Savings Account
1) There is no risk of losing any money put in this account
2) Interest income is the only way to earn money in this type of account
Investment Account
1) If no deposit or withdrawals are made, money held in this account may increase or decrease
2) This account may generate income from a variety of sources
Step-by-step explanation:
Question:
The table given in a similar question sourced on the site is presented as follows;
\(\left |\begin{array}{ccc}Savings \ Account & \mid &Investment \ Account \\& \mid&\\& \mid&\end{array} \right |\)
The options are;
If no deposit or withdrawals are made, money held in this account may increase or decrease
There is no risk of losing any money put in this account
Interest income is the only way to earn money in this type of account
This account may generate income from a variety of sources
A savings account is a deposit account that bears interest on the amount put in the account. Savings account are insured accounts and are therefore are reliable and safe
An investment account is an account that can hold both cash and other forms of investment that can be bought and sold for financing
Therefore, we get;
Savings Account
1) There is no risk of losing any money put in this account
2) Interest income is the only way to earn money in this type of account
Investment Account
1) If no deposit or withdrawals are made, money held in this account may increase or decrease
2) This account may generate income from a variety of sources.
Answer:
Savings Account
1) There is no risk of losing any money put in this account
2) Interest income is the only way to earn money in this type of account
Investment Account
1) If no deposit or withdrawals are made, money held in this account may increase or decrease
Step-by-step explanation:
please solve it step by step
Answer:
5/3
Step-by-step explanation:
multiply the 4 out to get 2x-4/3=2
sub 4/3 from each side to get 2x=2+4/3
2x=10/3
x=10/6
x=5/3
The sum of two numbers is 15. One less than three times the smaller is equal to the larger. Find the numbers.
Answer:
The numbers are:
4 and 11
Step-by-step explanation:
a + b = 15 Eq. 1
3a - 1 = b Eq. 2
Replacing Eq. 2 in Eq, 1
a + (3a - 1) = 15
a + 3a = 15 + 1
4a = 16
a = 16/4
a = 4
From Eq. 1:
a + b = 15
4 + b = 15
b = 15 - 4
b = 11
Check:
From Eq. 2:
3a - 1 = b
3*4 - 1 = 11
12 - 1 = 11
Tom bought notebooks at the store for $1.08 each. he spent $8.64 on the notebooks. Let x represent the number of notebooks tom bought. use the equation 1.08x = 8.64 to find the number of notebooks he bought tom bought __ notebooks
Answer:
8 Notebooks
Step-by-step explanation:
do 8.64 divided by 1.08 to get 8
9. Reflect in the y-axis.
B
C
a. A'(3, 3), B'(6, 3), C'(5, 6), D'(0, 6)
b. A'(-3, 3), B'(-6, 3), C'(-5, 6), D'(0, 6)
c. A'(3,-3), B'(6, -3), C'(5, -6), D'(0, -6)
d. A'(-3, -3), B'(-6, -3), C'(-5, -6), D'(0, -6)
C
The coordinates of the vertices of triangle A'B'C' after a reflection over the y-axis to triangle ABC are: C. A' = (3, -3), B' = (6, -3), C' = (5, -6), D' = (0, -6).
What is a reflection?A reflection can be defined as a type of transformation which moves every point of the object by producing a flipped but mirror image of the geometric figure.
In Geometry, a reflection over the y-axis (y = x) is given by this transformation rule (x, y) → (x, y).
By applying a reflection over the y-axis to triangle ABC, the coordinates of the vertices of the image triangle A'B'C' include the following:
(x, y) → (x, y)
Point A = (3, -3) → Point A' = (3, -3)
Point B = (6, -3) → Point B' = (6, -3)
Point C = (5, -6) → Point C' = (5, -6)
Point D = (0, -6) → Point D' = (0, -6)
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Trying to solve this problem but I can’t
Answer:
option c I think as the correct answer.
Step-by-step explanation:
hope this helps you.
Here's a graph of a linear function. Write the
equation that describes that function.
Express it in slope-intercept form.
What is the value of the "8" in the number 17,436,825? A. 800 B. 80 C. 8 D. 8,000
Answer:
A. 800
Step-by-step explanation:
Eight in the number is three places over from the decimal spot. this means the eight is in the hundreds spot. This makes it 800.
Does the order of the sides and the angles matter in SAS? Explain why or why not
In SAS congruence, the order of the sides and angles is crucial. Two triangles are said to be congruent if they have precisely the same size and shape. To demonstrate this, we must demonstrate that all three angles and all three sides are the same size. SAS, or side-angle-side, is one of the methods that we can use to prove two triangles are congruent.
The rule states that if two sides and the angle opposite one of the sides are congruent, the two triangles are congruent. It doesn't matter which side or angle you select. You will get the same result regardless of which order you choose.
In other words, we can say that in SAS congruence, the order of the sides and angles does not matter. The order in which the angle and sides are stated in SAS is inconsequential. The most important factor is that the two triangles have two sides and an angle between them that are the same. If these three components of one triangle match those of the second triangle, then the two triangles are congruent.
Therefore, the order of the sides and the angles does not matter in SAS because we are only interested in the length of two sides and the angle between them, which is why SAS is considered a useful method for determining the congruence of two triangles.
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a) What is a tessellation? Give two everyday examples of tessellations (that do not extend
indefinitely). You may insert images or give a verbal description. (5 points)
please help
The tile in a bathroom or kitchen is one example of tessellation. It's where you place geometric shapes together to fill a space. In this case, we have squares placed together to fill the space of the wall or floor. There cannot be any gaps or overlaps.
Another example would be bricks as this is composed of rectangles placed together without any gaps or overlaps. There are many other examples as well usually done as floor or wall patterns of some kind. Some tessellations involve using more than one shape (eg: one pattern uses squares and equilateral triangles placed together).