5. John is tiling the living room floor of his home. The living room is a rectangular shape
room that is 10 ft. 9in, by 15ft. 3 in.
a. What is the perimeter of the room?
B. How many 6in by 6in square tiles are required to cover the floor?
C. Calculate 10% of the answer from
Part b (this accounts for the overage due to grout and waste)
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.
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Question 3 of 10
If f(x) = 2x2 + 1 and g(x) = x2 - 7, find (f + g)(x).
O A. 3x2 + 8
O B. x + 8
O C. 3x2 - 6
D. x2 - 6
Answer:
C. 3x^2 -6
Step-by-step explanation:
f(x) = 2x^2 +1
g(x) = x^2 -7
(f+g)(x) is simply the sum of the above functions.
(f+g)(x) = 2x^2 +1 + x^2 -7 = 3x^2 -6
Solve for y. 2y - 5 = 5y - 11
Answer:
y = 2
Step-by-step explanation:
Given equation:
[tex]2y - 5 = 5y - 11[/tex]
Subtract 5y both sides:
[tex]\implies 2y - 5 = 5y - 11[/tex]
[tex]\implies 2y - 5 - 5y = 5y - 5y - 11[/tex]
[tex]\implies -3y - 5 = -11[/tex]
Add 5 both sides:
[tex]\implies -3y - 5 = -11[/tex]
[tex]\implies -3y - 5 + 5 = -11 + 5[/tex]
[tex]\implies -3y = -6[/tex]
Multiply -1 both sides:
[tex]\implies -3y = -6[/tex]
[tex]\implies \dfrac{-3y}{-1} = \dfrac{-6}{-1}[/tex]
[tex]\implies 3y = 6[/tex]
Divide 3 both sides:
[tex]\implies 3y = 6[/tex]
[tex]\implies \dfrac{3y}{3} = \dfrac{6}{3}[/tex]
[tex]\implies \boxed{y = 2}[/tex]
Explain how to find if the value of the expression if between 0 and 1. Do you have to find the exact value of the expression?
The statement that determines if an expression has its value between 0 and 1 is the IF conditional statement
How to determine the value of the expression?
To find if the value of an expression is between 0 and 1, we make use of an IF conditional statement
Assume the programming language is Python, and the expression is represented by the variable x.
The statement that determines the range of the expression is:
if x >= 0 and x <= 1
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can some one tell me the answet
4. In the figure below, rays KV and JP intersect at point M
K
Р
M
Which expression has a value that is equal to MPMV?
A 180° (MLKJM M JKM)
B 180° - (m_KJM
-
m/KMJ)
C 180°
(m. JMK)
D 180°
(m/JKM)
The intersection of the rays KV and JP would create vertical angles
The expressions that have the equal values as PMV are KMJ, 180 - JMV and 180 - PMK
How to determine the expression with equal value?The rays are given as:
Rays KV and JP
The point of intersection is given as:
Point M
When the rays KV and JP intersect at point M, the following angles are created
KMJ, JMV, PMV and PMK
Such that:
KMJ and PMV are vertical angles JMV and PMK are vertical anglesThe above means that angles KMJ and PMV are equal and
PMV = 180 - JMV
PMV = 180 - PMK
Hence, the expressions that have the equal values as PMV are KMJ, 180 - JMV and 180 - PMK
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Which function corresponds to the graph below? A. f(x)= -4/2(x+1/2 +3 B. f(x)=4/2(x+1/2-3 C. f(x)=4/-2x(x+1+3 D. f(x)=4/-2(x+1)-3
Answer:
B.f(x)=4/2(x+1/2-3
12) A radio transmission tower is 170 feet tall. How long should a guy wire be if it is to be attached 15 feet from the top and is to make an angle of 30° with the ground? Give your answer to the nearest tenth of a foot.
13) A building 230 feet tall casts a 100 foot long shadow. If a person looks down from the top of the building, what is the measure of the angle between the end of the shadow and the vertical side of the building (to the nearest degree)? (Assume the person's eyes are level with the top of the building.)
The length of guy wire needed to make an angle of 30° with the ground is 310 feet. The angle between the end of the shadow and the vertical side of the building is 23°
What is trigonometric ratio?
Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.
a) Let l represent the length of the guy wire.
sin(30) = (170 - 15) / l
l = 310 feet
b) Let Ф represent the angle, hence:
tanФ = 100/230
Ф = 23°
The length of guy wire needed to make an angle of 30° with the ground is 310 feet. The angle between the end of the shadow and the vertical side of the building is 23°
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please help me with this graph problem. NO LINKS!!!
Step-by-step explanation:
a)
Eric runs for 4 min and walks for 8 min.
The distance covered is
4*200 + 8*80 = 800 + 640 = 1440The goal of 1600 m is not met, needs additional 160 m
b)
The equation of distance is
d = 200x + 80yc)
For d = 1600, the equation is
200x + 80y = 1600Simplified form of it
2.5x + y = 20Some combinations of x and y to make the equation right
x = 2, y = 15x = 4, y = 10x = 6, y = 5d)
See the attached graph for more combinations, where the first coordinate represents running time and the second coordinate - walking time
Answer:
Part (a)Given:
Average running speed = 200 m/minAverage walking speed = 80 m/minIf Eric runs for 4 minutes ⇒ 200 x 4 = 800 m
If Eric walks for 8 minutes ⇒ 80 x 8 = 640 m
Total distance covered = 800 + 640 = 1440 m
Therefore, he is 160 m away from his 1600 m goal.
Part (b)Let x = number of minutes Eric runs
Let y = number of minutes Eric walks
Let d = total distance Eric covers
Equation: d = 200x + 80y
Part (c)Set d = 1600, then rewrite to make y the subject:
200x + 80y = 1600
⇒ 5x + 2y = 40
⇒ 2y = 40 - 5x
⇒ y = 20 - 2.5x
Now find ordered pairs (points on the line):
x-intercept (y = 0): 20 - 2.5x = 0 ⇒ x = 8 ⇒ (8, 0)y-intercept (x = 0): 20 - 2.5(0) = 20 ⇒ (0, 20)when x = 4: 20 - 2.5(4) = 10 ⇒ (4, 10)Part (d)Plot (8, 0) (0, 20) and (4, 10) and connect with a straight line.
(see attached graph)
From inspection of the graph, other combinations of running and walking times for which Eric would cover 1600 meters are:
2 minutes running, 15 minutes walking6 minutes running, 5 minutes walkingMary, Kate and Amy have a total of $159. Mary has $11 more than Kate. Amy has twice as much money as Kate. a)Using a bar model, illustrate this scenario showing CLEARLY where the $11 and $159 go. b)Determine how much money each girl has.
Kate has $37, Mary has $48, and Amy has $74.
EquationsGiven that Mary, Kate and Amy have a total of $159, and Mary has $11 more than Kate, while Amy has twice as much money as Kate, to determine how much money each girl has, the following calculation must be performed:
M = K + 11A = 2KK = KK + 11 + 2K + K = 1594K = 159 - 11K = 148 / 4K = 37So Kate has $37, Mary has $48, and Amy has $74.
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Answer:Kate has $37, Mary has $48, and Amy has $74.
Step-by-step explanation:
A square pyramid has a height of 6 units and a volume of 70 units. If a square prisn
has the same base area and volume as the square pyramid, what is its height?
O2 2 units
4 units
6 units
08 8 units
Answer:
6 units
Step-by-step explanation:
Volume of square pyramid is
1/3 * base area * height
For the first pyramid
70 = 1/3 * base * 6
base = 35
For the second pyramid
70 = 1/3 * 35 * h
h = 6
Arrange the three side
lengths in increasing
order.
Answer:
a < c < b
Step-by-step explanation:
The sum of the interior angles of a triangle is 180°
Therefore, the measure of the missing angle (opposite side c) is:
180° - 69° - 54° = 57°
Relationship between sides and interior angles of any triangle:
The shortest side is always opposite the smallest angleThe longest side is always opposite the largest angleTherefore, from inspection of the triangle:
a is opposite the smaller angle of 54°c is opposite the angle of 57°b is opposite the largest angle of 69°So the side lengths in increasing order are:
a < c < b
Rest angle:-
180-(69+54)180-12357Note that smaller side has smaller opposite angle
Hence the order is
a<c<bI have taken a picture for easier access.
What do most banks offer with savings accounts?
A. No transaction fees
B. A larger amount of money
C. Lower minimums
D. Interest
Sophie purchased a pair of Airpods that cost
$215. She used a coupon that offers 12% off.
How much did Sophie spend on the Airpods after
the discount?
Answer:
$189.20
Step-by-step explanation:
Since 12% off is the same thing as 88% of the original value, then you can simply multiply 215 by 0.88. This results in 189.2.
Answer:
$189.2
please make this answer brainliest If I helped you!
HELP PLEASE HELP ME PLEASE
Answer:
I THINK THR ANSWER IS A !
Answer:
1. U should know what the median is the median is the middle.
2. The interquartile range is when u subtract the 1 and 3 meidan.
3. The rang is when u subtract the biggest number from the smalest number.
Step-by-step explanation:
I hope this helped u . If not than please ask me.
ASAP . Solve and graph each inequality
Answer:
x less than or equal to -24
graph attached
Step-by-step explanation:
attached in image
Which figures demonstrate a single translation?
Select each correct answer.
Answer:
Bottom left & bottom right
Step-by-step explanation:
Bottom left & bottom right are only being moved in x-axis (i direction) & y-axis (j direction)
Top left uses translation and rotation
To right uses reflection
What is the most logical first step in solving the equation x^2 + 6x + 9 = 10?
A. Take the square root of both sides of the equation
B. Subtract 10 from both sides of the equation
C. Factor the left side of the equation
D. Subtract 9 from both sides of the equation
8x5/4 <.>.= 8
can some one please answer this for me please
>.
hope it helps...!!!!!!
Find the volume of the figure?
Answer:
Make two piece of this figure
Step-by-step explanation:
then use formula of v = l × b × h
pls help me with this
Answer:
the rule is multiply input by 25 then add 2, for example 2 x 25 = 50, 50 + 2 = 52
Step-by-step explanation:
this is because you minus 2 from the output to see the pattern from input. For example, 52 - 2 = 50 and to get from 2 to 50 you have to multiply by 25. This can be seen in the other numbers as well. Therefore the answer as a graph will be y = 25x + 2
Answer:
52 divided by 2 equal 26
102 divided by 4 equal 25.5
127 divided by 5 equal 25.4
177 divided by 7 equal 25.28
202 divided by 8 equal 25.25
Step-by-step explanation:
4\5 divided by 3\7 what is the answer
4\5 divided by 3\7
solution:4/5 ÷ 3/7
4 = dividend numerator
5 = dividend denominator
3 = divisor numerator
7 = divisor denominator
To make it a fraction form answer, you multiply the dividend numerator by the divisor denominator to make a new numerator.
you multiply the dividend denominator by the divisor numerator to make a new denominator:
4 × 7/ 5 × 3
= 28/15
Thus, the answer to 4/5 divided by 3/7 in fraction form is 28/15.
Complete the ratio that can be used to solve this problem. 15 points
What are the zeros of this function?
5
O A. x = 0 and x = 2
O B. x = 0 and x = -4
O c. x= 0 and x = 4
O D. x = 2 and x = -4
PLEASE HELPPP
THANK YOUUU
Answer:
At origin x-axis and y-axis are Zeros and when the the will at x-axis then y-axis wil zero so,
C is the right answer
Question 1: Last Friday Trevon had $29. Over the weekend he received some money for cleaning the attic. He now has $41. How much money did he receive? Your response should include: The answer to how much money Trevon received AND your reasoning for your answer, with a focus on writing as complete of sentences as you can.
Question 2: Jenny wants to buy a game that costs $30.98. How much change does she receive if she gives the cashier $40?Your response should include: The answer to how much change Jenny will receive back AND your reasoning for your answer, with a focus on writing as complete of sentences as you can.
I WILL CHECK BEFORE GIVING POINTS, I REALLY NEED THIS THANK YOU :)
The amount of money Trevon had last Friday⇢$29
The total amount of money he has after cleaning the attic⇢$41
So,
The amount of money he received after cleaning the attic ⇢ Total money he has after cleaning the attic - The money he had last Friday
⇢ $41-$29⇢$12Thus ,he received $ 12 for cleaning up the attic.
Answer²↷$9.02Solution ↷The cost of the game ⇢$30.98
The amount of money she gave to the cashier ⇢$40
The amount she'll receive back⇢ the amount of money she gave to the cashier - the cost of the game
⇢$ 40 - $ 30.98⇢$ 9.02Hence , she'll receive $ 9.02 back from the cashier.
Answer:
Question 1Given:
Last Friday Trevon had $29He received money for cleaning the atticHe now has $41To calculate the money Trevon received for cleaning the attic over the weekend, we need to find the difference between the money he started with and the money he now has. To find the difference, subtract the smaller number from the bigger number:
⇒ Money Trevon received = Money he has now - money on Friday
= $41 - $29
= $12
Therefore, Trevon received $12 for cleaning the attic over the weekend.
Question 2Given:
Cost of game = $30.98Money gave the cashier = $40To calculate the change Jenny received from the cashier, we need to find the difference between the two amounts. To find the difference, subtract the cost of the game from the money Jenny gave to the cashier:
⇒ Change = money given - cost of game
= $40 - $30.98
= $9.02
Therefore, Jenny received $9.02 in change from the cashier after paying for a game that costs $30.98 with $40.
How do I do this question
Answer:
Step-by-step explanation:
(a). sin2x + sinx = 0 ( 0 ≤ x ≤ 2π )
sin2x = 2sinx(cosx)
2 ( sin x )( cos x ) + sin x = 0
sin x ( 2 cos x + 1 ) = 0
sin x = 0 ⇒ x = 0 , [tex]\pi[/tex] , [tex]2\pi[/tex]
2 cos x = - 1
cos x = [tex]-\frac{1}{2}[/tex] ⇒ x = [tex]\frac{2\pi }{3}[/tex] , [tex]\frac{4\pi }{3}[/tex]
x ∈ { 0 , [tex]\frac{2\pi }{3}[/tex] , [tex]\pi[/tex] , [tex]\frac{4\pi }{3}[/tex] , [tex]2\pi[/tex] }
(b). sin 2x - 2 cos x = 0 ( 0 ≤ x ≤ 2π )
2 cos x ( sin x - 1 ) = 0
cos x = 0 ⇒ x = [tex]\frac{\pi }{2}[/tex] , [tex]\frac{3\pi }{2}[/tex]
sin x = 1 ⇒ x = [tex]\frac{\pi }{2}[/tex] , [tex]\frac{3\pi }{2}[/tex]
x ∈ { [tex]\frac{\pi }{2}[/tex] , [tex]\frac{3\pi }{2}[/tex] }
An ellipse has vertices along the major axis at (0,1) and (0,-9). The foci of the ellipse are located at (0,-1) and (0,-7). The equation of the ellipse is the form below. (y-k)^2/a^2 + (x-h)^2/b^2 = 1 Which is a correct value for one of the variables shown in the equation?
a = 10
b = 4
h = 3
k = 0
The equation of the ellipse in standard form with vertices along the major axis at (0, 1) and (0, -9) and the foci of the ellipse at (0, -1) and (0, -7) is (y+4)²/16 + x²/25 = 1.
How to derive an equation of the ellipse based on the information of the major axis and foci
The location of the center of the ellipse is the midpoint of the line segment between the ends of the major axis, that is:
(h, k) = 0.5 · (0, 1) + 0.5 · (0, -9)
(h, k) = (0, -4)
The length of the major semiaxis (b) is 5 and the distance between the center and any of the foci (c) is 3. Then, the length of the minor semiaxis is:
[tex]a = \sqrt{b^{2}-c^{2}}[/tex] (1)
a = 4
Lastly, we substitute all the variables and conclude that the equation of the ellipse is (y+4)²/16 + x²/25 = 1. [tex]\blacksquare[/tex]
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Answer:
A=10
Step-by-step explanation:
Got it right on Edge2022
can someone please ASAP
Answer:
1. 168 inches squared 2. 55 centimeters squared 3. 18 meters squared 4. 62 feet squared
Step-by-step explanation:
To find the area of a parallelogram, multiply the base times the height. For numbers three and four, do the same thing, except subtract the area of the rectangles inside them (the area for the rectangles are also base times height).
Evaluate 1/2x^4-1/4x^2 for x=2
Answer:
7
Step-by-step explanation:
To evaluate an expression given a valeu means to substitute the value in. So :
1/2(2)^4 - 1/4(2)²
First we do powers since we follow BODMAS/BIDMAS :
1/2(16) - 1/4(4)
Now we do multiplication:
8 - 1
Now we do the only step left of simplification through subtraction:
8 - 1 = 7
Hope this helped and brainliest please
The value of (1/2)x⁴ - (1/4)x² when x = 2 is 7.
What are Expressions?Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.
Given expression is (1/2)x⁴ - (1/4)x².
We have to calculate the value of the expression when x = 2.
Substitute x = 2 in the expression.
(1/2)x⁴ - (1/4)x² = (1/2) (2)⁴ - (1/4) (2)²
= (1/2) × 16 - (1/4) × 4
= 16/2 - 4/4
= 8 - 1
= 7
Hence the value of the expression when x = 2 is 7.
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