The perimeter of the room is 624 inches.
We need 657 tiles to cover the floor.
We need to add 66 extra tiles to account for the overage due to grout and waste.
What is a rectangle?A rectangle is a 2-D shape with length and width.
The length and width are different.
If the length and width are not different then it is a square.
The area of a rectangle is given as:
Area = Length x width
We have,
Length = 10 ft 9in
Width = 15ft 3 in
a.
Perimeter = 2 (Length + Width)
Length = 10 ft 9 in = (10 x 12) + 9 = 129 in.
Width = 15 ft. 3 in. = (15 x 12) + 3 = 183 in
Perimeter.
= 2(129 + 183)
= 624 in.
b.
Area = Length x Width
Area = 129 in. x 183 in
Area == 23,607 in²
Each tile covers an area of 6 in. x 6 in
Area of tiles = 36 in²
So,
The number of tiles required.
= Area ÷ Tile area
= 23,607 in² ÷ 36 in²
≈ 656.3 tiles.
c.
10% of 657
= 10/100 x 657
= 0.1 x 657
= 65.7
= 66
Thus,
The perimeter of the room is 624 inches.
We need 657 tiles to cover the floor.
We need to add 66 extra tiles to account for the overage due to grout and waste.
Learn more about rectangles here:
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HELLPP PLEASE ASAP!!!!
Find all solutions to the equation
in the interval [0, 27). Enter the
solutions in increasing order.
cos 2x + cos x = 0
It looks like the equation is
cos(2x) + cos(x) = 0
Use the double angle identity for cosine to write this as
(2 cos²(x) - 1) + cos(x) = 0
2 cos²(x) + cos(x) - 1 = 0
Factorize the left side:
(2 cos(x) - 1) (cos(x) + 1) = 0
Then either
2 cos(x) - 1 = 0 or cos(x) + 1 = 0
2 cos(x) = 1 or cos(x) = -1
cos(x) = 1/2 or cos(x) = -1
[x = cos⁻¹(1/2) + 2nπ or x = -cos⁻¹(1/2) + 2nπ]
… or [x = cos⁻¹(-1) + 2nπ]
(where n is any integer)
x = π/3 + 2nπ or x = -π/3 + 2nπ or x = π + 2nπ
We get the following solutions in the interval [0, 2π):
x = π/3 and x = π and x = 5π/3
If the terminal side of angle θ passes through a point on the unit circle in the first quadrant where x=√2/2, what is the exact measure of θ?
The exact measure of the angle is 45°.
How to get the angle?
We know that the terminal side passes through a point of the form (√2/2, y).
Notice that the point is on the unit circle, so its module must be equal to 1, so we can write:
[tex]1 = \sqrt{( \frac{\sqrt{2} }{2} )^2 + y^2} \\\\1^2 = \frac{2}{4} + y^2\\1 - 1/2 = y^2\\\\1/\sqrt{2} = y[/tex]
We know that y is positive because the point is on the first quadrant.
Now, we know that our point is:
(√2/2, 1/√2)
And we can rewrite:
√2/2 = 1/√2
So the point is:
( 1/√2, 1/√2)
Finally, remember that a point (x, y), the angle that represents it is given by:
θ = Atan(y/x).
Then in this case, we have:
θ = Atan(1/√2/1/√2) = Atan(1) = 45°
If you want to learn more about angles, you can read:
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what is the solution to this system of equations?
4x+y=6
x-2y=6
x=2 and y=(-2)
hope it helps...
Answer:
y = ( -2 )
x = 2
Step-by-step explanation:
4x + y = 6 ⇒ ( 1 )
x - 2y = 6 ⇒ ( 2 )
x = 6 + 2y ⇒ ( 3 )
First, let us find the value of y.
For that, we can replace x with ( 6 + 2y ).
Let us use equation 1 for that.
4x + y = 6
4 ( 6 + 2y ) + y = 6
24 + 8y + y = 6
24 + 9y = 6
9y = 6 - 24
9y = -18
Divide both sides by 9.
y = -2
Now let us find the value of x by replacing y with -2.
For that let us take equation 3.
x = 6 + 2y
x = 6 + 2 × -2
x = 6 - 4
x = 2
what is 2+2x490+30 divided by 100
Answer:
982.3
Step-by-step explanation:
What formula can we use to find the surface area of a rectangular prism?
Answer:
First one
SA = 2lw + 2lh + 2wh
Step-by-step explanation:
The area is this, it is a fact..
A=2(wl+hl+hw)
Answer:
first one
Step-by-step explanation:
SA = 2wl + 2lh + 2hw
Solve the equation 7(x + 4) = -21.
x =
Answer:
-7
Step-by-step explanation:
7(x+4)=-21
x+4=-21/7
x+4=-3
x=-3-4
x=-7
WILL MARK BRAINLIEST PLS HELP!! Given the functions f(x) = x ^ 3 + x ^ 2 - 2x + 3 and g(x) = log (x) + 2 what type of functions are f(x) and g(x) ? Justify your answerWhat key features do f(x) and g(x) have in common ? (Consider domain , range, xintercepts , and y intercepts)
The functions f(x) and g(x) are different functions.
How to explain the function?The function f(x) is a cubic function, while the function g(x) is a logarithmic function. The common feature of both functions is their range
The functions are given as:
f(x) = x³ + x² - 2x + 3 and g(x) = log(x) + 2
This means that the function f(x) is a cubic function, while the function g(x) is a logarithmic function.
From the attached graph, we have the following features:
Domain: -∞ < x < ∞
Range: -∞ < y < ∞
y-intercept = 3
x - intercepts = -2.37
Function g(x)
Domain: x > 0
Range: -∞ < y < ∞
y - intercept = None
x - intercepts = 0.01
By comparing the key features above, we can conclude that the common features in both functions are their range
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What is 30,182 rounded to the nearest ten thousand?
Answer:
30,000
Remember the hundreds place rounding rule...
Between 0 to 400? Keep the same, or round down.Between 500 to 900? Round up.Answer:
30,000
Step-by-step explanation:
the answer is 30,000 because, the three is getting rounded up or down based on the zero behind it. Since there is no way the three can round up because the zero is under five, all the numbers after it shall become a zero. But if it were a decimal, the answer would just be thirty. But the actual answer is 30,000
A family of 6 is going to the fair. They have a coupon for $2.50 off each ticket. If they pay $96 for all of their tickets, and each ticket costs the same amount, how much does a ticket, t, cost without the coupon?
How much is the family spending all at the fair?
Answer:
$18.50
Step-by-step explanation:
because there are 6 people, to find out the total discount, we do:
2.50 x 6 = 15
This means that they saved $15 out of the $96. So, to find out the total before the discount, all we have to do is
96 + 15 = 111
Then, to find the cost of 1 ticket, before discount, we do 111 / 6, which gives us:
$18.50
Hope this helps! If you have any further questions, let me know!
- profparis
Help Asap please 100 points
find the slope of the line graphed below.
Answer: I got 4/7
Step-by-step explanation:
(-3,1)(4,5)[this points from graph btw]
the formula of slop is [tex]\frac{y_{2} - y_{1}}{x_{2}-x_{1} }[/tex]
[tex]\frac{5-1}{4-(-3)\\}\\ \\\frac{5-1}{4+3} \\\\=\frac{4}{7}[/tex]
help?????????? i don't really know how to answer
Answer:
[tex] \fbox{4\:dollars\:and\:99\:cents}[/tex]
Step-by-step explanation:
Given:
Total money Marsha gave = 20$
Total money she received in return = 5.03$
Number of pairs of socks she purchased= 3 pairs
To find: Cost of each pair of socks =?
Solution:
Let the cost of each pair of socks is x, and the equation that satisfies above scenario would be,
[tex]3x + 5.03 = 20 \\ 3x = 20 - 5.03 \\ 3x = 14.97 \\ x = \frac{14.97}{3} \\ x = \cancel{\frac{14.97}{3} } \: ^{4.99} \\ x = 4.99[/tex]
Each pair of socks cost 4.99 dollar which can be written as 4 dollars and 99 cents.
Thanks for joining brainly community!
Answer:
$4.99
Step-by-step explanation:
Since the cashier gave $5.03 in change, Marsha paid $5.03 extra for the 3 pairs of socks. This means that the cost is;
⇒ Cost for 3 pairs of socks = 20 - 5.03 = $14.97⇒ Cost for 3 pairs of socks = $14.97To determine the cost for each pair of socks, we need to divide 3 both sides of the equation obtained above, as it is the cost for 3 pairs of socks.
⇒ Cost for 3 pairs of socks/3 = $14.97/3⇒ Cost for each pair of socks = $4.99Therefore, the cost for each pair of socks $4.99.
One side of a rectangle is 24 cm longer than four times another side. Find the length of the sides, given that the area of the rectangle is 1260 cm ^ 2 . Enter both sides, separated by a comma. Length of the sides: cm
Answer:
84 cm, 15 cm
Step-by-step explanation:
Check the attachment.
∠A and \angle B∠B are vertical angles. If m\angle A=(7x-6)^{\circ}∠A=(7x−6) ∘ and m\angle B=(8x-27)^{\circ}∠B=(8x−27) ∘ , then find the measure of \angle B∠B.
Answer: 141 degrees
Step-by-step explanation:
PLEASE HELP ASAP! Find the volume of the prism.
Answer:
5 * sqrt(3)
Step-by-step explanation:
First, find the area of the triangle. Do this by determining the height of the triangle. The main triangle is really two right triangles, so do half of it at a time. This causes the base to become one.
According to the Pythagorean Theorem, the height is the square root of 3.
The area of one half of the triangle is sqrt(3)/2, but you need to double that to find the whole triangle's area, so the whole area is sqrt(3).
Now just multiply by 5.
The answer is 5 * sqrt(3), the one you have selected in the image.
When the bank returns a check for which there is not enough money in the bank to cover it, what do we call the check?
o uncovered
O irresponsible
O bounced
o free
Which function represents the sequence? 45, 40, 35, 30, 25
Answer:
the function is subtracting 5 from the next number, the next number would be 20. If this helped please mark brainliest
Step-by-step explanation:
help pls!!!
free brainleist
Answer:
28
Step-by-step explanation:
subtract 248 from 360 to get 112, add up all x's to get 4, then divide 112 by 4 to get 28
Answer:
ah P00
Step-by-step explanation:
Question regarding proportions and inference - What is the proportion of tourists who visit Skydeck Willis Tower in Chicago? One hundred fifty tourists visiting Chicago voluntarily filled out a questionnaire. Sixty-three of them indicated that they had visited Skydeck Willis Tower or were planning on doing so. To answer the question above one would calculate:
Question 2 options:
Answer:
gang
Step-by-step explanation:
ion
Determine the solution, if any, to the system of equations below
8x - 2y = 1
-4x + y=3
Show your work.
Answer:
This question cant be determine
Step-by-step explanation:
there's no input
Five is to three as thirty is to what number?
5/3 = 30/x. Multiplying across: 5x = 3 times 30. Solving this gives you 5x = 150, or x = 30.
Anvils Works' requires, on average, 2,500 tons of aluminum each week, with a standard deviation of 800 tons. The lead time to receive its orders is 11 weeks. The holding cost for one ton of aluminum for one week is $11. It operates with a 0.98 in-stock probability. Use Table 11.5.
Suppose its on-hand inventory is 5050 tons, on average. What in-stock probability does it offer to its customers?
Based on the inventory on hand, the lead time, and the standard deviation, the in-stock probability will be 96.56%
What is the in-stock probability?To find the in-stock probability, you first need to find the Z score as:
= On-hand inventory / Standard deviation x √(lead time + 1)
Solving gives:
= 5,050 / 800 x √(11 + 1)
= 5,050 / 2,771.28
= 1.82
With a Z score of 1.82, the probability according to the Z tables will be 96.56%
Find out more on Z scores at https://brainly.com/question/25638875.
Identify the domain of the following rational expression:
7x
3x+15
O All real numbers except 5.
O All real numbers except 15.
O All real numbers except - 15.
O All real numbers except - 5.
The domain for the rational expression as given in the task content is; All real numbers except -5.
Domain of Rational functionsThe domain of a rational function such as that given in the task content includes all possible values of the variable except that which renders the expression undefined.
On this note, the expression is undefined when, 3x + 15 = 0.
Hence, the domain is All real numbers except -5.
Read more on rational functions;
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How many pieces of stone each of size 20 cm x 30 cm x 10 cm are required to construct a wall of 20 m x 60 cm x 2m?
4000 pieces of stones needed
Explanation:
All measurements should be taken in cm unit wise
For wall:
20 m = 2000 cm60 cm = 60 cm2 m = 200 cmFor each stone:
20 cm30 cm10 cmVolume of the wall:
2000 x 60 x 200 24000000 cm³Volume of each stone:
20 x 30 x 106000 cm³Pieces of stone needed:
24000000/60004000 pieces of stonesAnswer:
=> 4000 pieces
Step-by-step explanation:
First change m into cm
20m -> 2000cm
2m -> 200cm
volume of wall = 2000×200×60
=> 24000000 cm³
volume of each stone = 20×30×10
=> 6000 cm³
stone needed = 24000000/6000
=> 4000 pieces
pls help!!! What is the surface area of the pyramid?
Answer:
SA = 224 ft^2
Step-by-step explanation:
B - base
H - height
SA - surface area
B = 8
H = 10
SA = (B×B) + 4((1/2)×(B×H))
SA = (8×8) + 4((1/2)×(8×10))
SA = 224 ft^2
A machine fills boxed at a constant rate. At the end of 35 minutes, it has filled 5 boxes. Which table represents the relationship between the number of minutes the machine fills boxed and the number of boxes it has filled?
Answer:
35 divided by 5 = 7
Step-by-step explanation:
Buddy orders 50 burritos for a conference meeting.
Each burrito costs $5 how much will he spend?
A $316
B $134
C $250
D $562
Find the oils for and the odds against the event rolling a fair die and getting a 3, a 2, a 6, or a 4
Answer:
See below ↓↓↓↓
Step-by-step explanation:
⇒ 3
Odds for : 1/6Odds against : 5/6⇒ 2
Odds for : 1/6Odds against : 5/6⇒ 6
Odds for : 1/6Odds against : 5/6⇒ 4
Odds for : 1/6Odds against : 5/6What is the measure of each angle in the circle?
36°
40°
45°
60°
Answer:
45 degrees
Step-by-step explanation:
360 degrees is a whole circle, and there are 8 slots
360 / 8 = 45