The perimeter of the bedroom is 76 meters.
Hannah will need to obtain additional wallpaper to cover the entire perimeter.
To determine if Hannah has enough wallpaper to install a border around the perimeter of her bedroom, we need to calculate the perimeter of the room and compare it to the length of the wallpaper she has.
First, let's find the dimensions of the bedroom since we know its floor area. Since the bedroom is most likely rectangular, we can find the dimensions by taking the square root of the floor area:
√361 m² = 19 m
Now, let's calculate the perimeter of the bedroom. The perimeter of a rectangle is given by the formula: P = 2 * (length + width)
In this case, since the bedroom is rectangular, we can assume one side is the length and the other side is the width:
P = 2 * (19 m + 19 m) = 2 * 38 m = 76 m
So, the perimeter of the bedroom is 76 meters.
Hannah has 72 meters of wallpaper, which is less than the perimeter of the room. Therefore, she does not have enough wallpaper to install a border around the entire perimeter of her bedroom.
Unfortunately, Hannah will need to obtain additional wallpaper to cover the entire perimeter.
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I need the answer asap....
Answer:
\(x=9\)
Step-by-step explanation:
ABC is the sum of the angles CBD and ABD. So:
\(\angle ABC=\angle CBD+\angle ABD\)
Substitute them for their equations:
\((-7x+241)=(-4x+123)+(154-7x)\)
Solve for x. Combine like terms on the right:
\(-7x+241=-11x+277\)
Add 11x to both sides:
\(4x+241=277\)
Subtract 241 from both sides:
\(4x=36\)
Divide both sides by 4:
\(x=9\)
The value of x is 9.
And we're done!
An artist will use isometric transformations of square LMNO to create a symmetrical design with contrasting colors.
Which statement is true?
If LMNO is reflected over the y-axis, the small center square in the image will have a lesser area.
It LMNO is reflected over the x-axis, the small center square in the image will have the same area.
If LMNO is rotated 180° counterclockwise about point O, the small center square in the image will have a lesser area.
If LMNO is rotated 180° counterclockwise about point O, the small center square in the image will have a greater area.
Answer:
The Answer is B: It LMNO is reflected over the x-axis, the small center square in the image will have the same area.
Step-by-step explanation:
The other answers state that the canter square will change size when reflection doesn't do that. Reflection keeps the size and shape of the object. It only changes the positioning.
I hope this helps. Brainliest would be nice to.
Answer:
The Answer is B: It LMNO is reflected over the x-axis, the small center square in the image will have the same area.
Step-by-step explanation:
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Answer:
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Step-by-step explanation:
Answer:
Step-by-step explanation:
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What are the solutions of the equation? y=-7(x-3)(x+4)
Answer: y=−7x^2−7x+84
Step-by-step explanation: Hope this help :D
If three slugs have six eye-stalks then two slugs will have (blank) eye-stalks
Answer:
four
Step-by-step explanation:
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Answer:
my wattapp number
is 7667587493
Step-by-step explanation:
I think the answer is 8
Find the difference in the given lengths of the polygons . (7x + 2) units (6x - 5) units .
Answer:
Difference in the lengths of the polygons is (x + 7) units.
Step-by-step explanation:
Lengths of the given polygon = (7x + 2) units and (6x - 5) units
Therefore, difference in the given lengths = (7x + 2) - (6x - 5)
= (7x - 6x) + (2 + 5)
= x + 7
Therefore, difference in the lengths of the polygons is (x + 7) units.
Which function is represented by the graph? *
x-2y = -6
x-2y=6
x + 2y = -6
x+2y=6
The equation of the given line plotted on the graph is : 2y + x = 6 or y = (-1/2)x + 3.
What is the general form of a straight line? What is a mathematical function, equation and expression?straight line equation : The general equation of a straight line equation is given byy = mx + c
where -
[m] : slope of line
[c] : y - intercept
Given is the graph of a straight line as shown.
The general equation of a straight line equation is given by : y = mx + c.
The y - intercept is given by -
[c] = 3 (0, 3)
The line passes through the points -
(0, 3) and (6, 0)
So, the slope of the line will be -
m = (0 - 3)/(6 - 0)
m = -3/6
m = -1/2
So, the equation of the line would be -
y = (-1/2)x + 3
y + (x/2) = 3
2y + x = 6
Therefore, the equation of the given line plotted on the graph is : 2y + x = 6 or y = (-1/2)x + 3.
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Geoff Poshingten is out at a fancy pizza joint, and decides to order a calzone. When the waiter asks what he would like in it, he replies, "I want either pepperoni or sausage. Also, if I have sausage, then I must also include quail. Oh, and if I have pepperoni or quail then I must also have ricotta cheese. "
A. Translate Geoff's order into logical symbols.
B. The waiter knows that Geoff is either a liar or a truth-teller (so either everything he says is false, or everything is true). Which is it?
C. What, if anything, can the waiter conclude about the ingredients in Geoff's desired calzone?
1 ) P be Pepperoni, Q be Quail, R be Ricotta cheese, S be Sausage.
To translate Geoff's order using Discrete Math,
I want either pepperoni or sausage = P or S = (P ∨ S)If I have sausage, then I must also include quail = S→QIf I have pepperoni or quail then I must also have ricotta = (P∨Q)→R2 ) Geoff is a truth-teller. Based on his last statement, where ricotta (R) is implied from pepperoni (P) or quail (Q) , we would have no way of knowing if R is true/false if (P or Q) was false- so, R must be true if (P or Q) is false because of the whole “innocent until proven guilty” thing. therefore, since a lie in P or Q would lead to truth, Geoff must be a truth-teller because he can’t tell all lies.
Using this information, that Geoff always tells the truth.
For the third statement, if Geoff is lying then the truth is "I must have pepperoni or quail and I cannot have ricotta cheese."
~[(P ∨ Q) → R] = [(P v Q) ∧ ~R)]
Or in more general terms, ~(a → b) = (a ∧ ~b)
Which, gives us (a → b) = (~a ∨ b)
Anyhow, even if Geoff tells all lies, there is a valid statement that can be made: Pepperoni and sausage, no quail, no ricotta.
Also, if Geoff tells the truth, there's nothing that says he can't have quail with pepperoni: pepperoni, quail, and ricotta is also valid.
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Determine the WVC on for each day presented below. Day 1: Air Temperature= 86°F and RH= 60% Day 2: Air Temperature= 41°F and RH=90% At what point during the day would you expect outside relative humidity values to be the lowest? …to be the highest? Explain/justify your response.
Relative humidity tends to be highest during the early morning hours, shortly before sunrise.
To determine the Wet-Bulb Temperature (WBT) and Wet-Bulb Depression (WBD), we need the dry-bulb temperature (DBT) and relative humidity (RH) values.
The Wet-Bulb Temperature (WBT) is the lowest temperature that can be achieved by evaporating water into the air at constant pressure, while the Wet-Bulb Depression (WBD) is the difference between the dry-bulb temperature (DBT) and the wet-bulb temperature (WBT). These values are useful in determining the potential for evaporative cooling and assessing heat stress conditions.
Day 1: Air Temperature= 86°F and RH= 60%
To calculate the WBT and WBD for Day 1, we would need additional information such as the barometric pressure or the dew point temperature. Without these values, we cannot determine the specific WBT or WBD for this day.
Day 2: Air Temperature= 41°F and RH= 90%
Similarly, without the necessary additional information, we cannot calculate the WBT or WBD for Day 2.
Regarding your question about the point during the day with the lowest and highest outside relative humidity values, it is generally observed that the relative humidity tends to be highest during the early morning hours, shortly before sunrise. This is because the air temperature often reaches its lowest point overnight, and as the air cools, its capacity to hold moisture decreases, leading to higher relative humidity values.
Conversely, the outside relative humidity tends to be lowest during the late afternoon, typically around the hottest time of the day. As the air temperature rises, its capacity to hold moisture increases, resulting in lower relative humidity values.
It's important to note that these patterns can vary depending on the local climate, weather conditions, and geographical location. Other factors such as wind patterns and nearby bodies of water can also influence relative humidity throughout the day.
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the length of the garden to be x-2 feet and the width to be x+3 feet
standard form:
function form:
what is the y intercept of the function
Step-by-step explanation:
\((x - 2)(x + 3) = \\ {x}^{2} + x - 6\)
standard form
\( {x}^{2} + x - 6 = 0\)
function form
\(f(x) = {x}^{2} + x - 6\)
y-intercept = -6
El garage "Bolivar" tiene3 pisos. En el primero hay 5 filas con 20 lugares en cada una. En el segundo y en el tercero, 4 filas con 15 lugares en cada una. ¿Cuantos automoviles entran cuando el garage esta completo?
Answer:
220 automóviles
Step-by-step explanation:
Aquí, queremos saber la cantidad de autos que ingresarán al garaje cuando esté completamente ocupado.
De la pregunta, nos dicen que hay 3 pisos. Para el 1er piso, hay 5 filas de 20 lugares.
El número total de autos que pueden estar en esto será 5 * 20 = 100 autos.
Para el segundo y tercer piso, tenemos 4 filas de 15 cada una.
El número total de autos aquí será 2 (15 * 4) = 2 * 60 = 120 autos
El número total de automóviles cuando está completamente ocupado es, por tanto, = 100 + 120 = 220 automóviles
the line.
Distance (miles)
УГ
150
100
50
0
Bus Trip
(2, 120)
(1, 60)
1 2
Time (hours)
3 x
The slope of the line is. T
As a result, when the graph's slope and speed are 60 and 60 mph, respectively, the slope is 60 and the speed is 60 mph.
what is slope ?The steepness of a line determines its slopes. "Gradient overflows" is the name of a contour mathematical equation (the change in y divided by the change in x). The inclination is the ratio of such vertical (rise) to the horizontal (run) change in level between any two places. The gradient form of an answer is used to illustrate a straight line when its equation is represented as y = mx + b. The y-intercept is situated where the slope of the line is m, b is b, and (0, b). For instance, considering como and slope of the eqs y = 3x - 7 (0, 7). The line has a slope of m, a b quantity at the y-intercept, and (0, b). As
given
The graph's slope and speed are as follows:
Slope = 60
Speed is 60 mph.
The ratio of the ascent to the run is the line's slope.
Rise is equal to y2 - y1 = (120 - 60) = 60.
Run = x2 - x1 = (2 - 1) = 1
The incline is equal to (Rise / Run) = (60 / 1) = 60.
The slope indicates that the bus will travel 60 miles per hour throughout the journey.
The distance traveled per hour is the speed.
You can compute the speed as follows:
(120 ÷ 2) = 60 mph
As a result, when the graph's slope and speed are 60 and 60 mph, respectively, the slope is 60 and the speed is 60 mph.
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Kaley solved 10 x 5 x 2 using the equations below.
10 x 5 x 2 = (10 × 5) × 2
= 50 x 2
= 100
Use the equations below to solve 10 x 5 x 2 in a different way.
10 x 5 x 2
= 10 x (
= 10 x
=
= 100
=
x 2)
Answer + Step-by-step explanation:
10 × 5 × 2
= 10 × (5 × 2) (associative property)
= 10 × (10)
= 10 × 10
= 100
Find the Area of the figure below, composed of a rectangle and a semicircle. The
radius of the circle is shown, Round to the nearest tenths place.
12
Write the equation of the line parallel
to y = 4 /5x + 4/5 that passes through the point ( -6,6).
Step-by-step explanation:
Here, slope= 4/5 , As y= mx+c
according to formula, y-y1= m(x-x1)
y-6= 4/5(x+6)
5/4 (y-6)= x+6
5/4y - 15/2= x+6
x- 5/4y + 27/2 =0
What is the y-intercept of the equation y = 1.5x – 4.5?
Answer:
The y-intercept is (0,-3
Step-by-step explanation:
Y=mx+bY= 1.5x-4.5So (0,-3) is the y-intercept.Step-by-step explanation:
to find the y intercept you simply equate x to 0. therefore, the y intercept is -4.5
and its coordinate is:
(0, -4.5)
which graph represents 3x - 2y greater than or equal to 4?
Help? Please I’m desperate
Answer:
its called a calculator division and multiplication
Step-by-step explanation:
If the public debt of a country in 2009 was $11,982,000,000,000and the
budget for 2010 was in deficit by $101,347,000,000 , what was the public debt
in 2010? Do not include commas in your answer.
If a country's public debt in 2009 was $11,982,000,000,000 and its budget for 2010 was $101,347,000,000 in deficit, the public debt in 2010 is $12083347000000.
What is public debt?Government obligations, particularly those evidenced by securities, to pay certain sums to holders at some future time. Private debt, which includes the obligations of individuals, businesses, and nongovernmental organizations, is distinct from public debt. A debt-to-GDP ratio compares a country's total debt to its economic productivity. Divide a country's debt by its GDP to calculate the debt-to-GDP ratio. Governments can use public debt to raise funds to expand their economies or pay for services. Politicians would rather increase the national debt than raise taxes. The national debt includes public debt, and when the national debt reaches 77% or more of GDP, the debt begins to slow growth.As given
if the public debt of a country in 2009 was $11,982,000,000,000 and the budget for 2010 was in deficit by $101,347,000,000 .
Total public debt in 2010 = Public debt in 2009 + Amount by which 2010 budget deficit .
= $ 11982000000000 + 101347000000
= $ 12083347000000
Therefore the public debt in 2010 is $12083347000000.
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Find the product.
a 4(3a2 - 2a + 1)
(typed answers not selection)
Answer:
\(3a^6-2a^5+a^4\)
Step-by-step explanation:
Use the rules of indices to find the product.
One of the rules is that when we multiply indices that have the same base we add the powers. For example:
\(x^4 * x^5 = x^9\)
So to work out \(a^4(3a^2-2a+1)\) we need to follow this rule.
Let's expand the bracket:
\(a^4(3a^2-2a+1) = (a^4)(3a^2)+(a^4)(-2a)+(a^4)(1)\)
Let's simplify keeping in mind the rule we know.
\((a^4)(3a^2)=3a^6\)
\((a^4)(-2a) = -2a^5\) - remember that \(a = a^1\)
\((a^4)(1) = a^4\)
Which of the following represent a multiplicative relationship? Select THREE correct answers.
Answer:
Bicycle workout, Andrea, and Wendy
Step-by-step explanation:
In the bicycle workout it is a multiplicative relationship because there is a constant increase of 15 / hour
Andrea's is multiplicative because the constant increase of $20 / month
Wendy's is as well because of the constant increase of 2 miles / day
Diego invested $6,100 in a 9-month certificate of deposit paying 1.8% interest. How much interest did he earn form this investment?
Answer:
0.018
Step-by-step explanation
6,100,9a-mo,0.018
Find the apothem, in feet, of a regular heptagon with side length
13 ft and area 614.25 ft. Round to the nearest hundredth.
The apothem of the regular heptagon is 13.49 feet.
To find the apothem of a standard heptagon with side length 13 ft and region 614.25 ft, we can utilize the recipe:
The formula for determining the heptagon's perimeter is: Area = (1/2) Perimeter Apothem Since we already know the side length and the area,
Edge = 7 × Side Length
Connecting the given qualities, we get:
Now that we know the perimeter and area of the apothecary, we can enter them into the formula:
614.25 ft = (1/2) × 91 ft × Apothem
Addressing for the apothem, we get:
Apothem = (2 × 614.25 ft)/(91 ft) = 13.49 ft (adjusted to the closest 100th)
In this way, the apothem of the customary heptagon is 13.49 feet.
The distance between the midpoint of a side and the center of a regular polygon is known as the apothem. Knowing the apothem is helpful for computing the border and area of standard polygons.
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twenty-four feet (six 4-ft sections) of track lighting must be installed in a continuous row in a retail store. what is the minimum number of supports required?
The minimum number of supports required is 7.
To determine the minimum number of supports required for the twenty-four feet (six 4-ft sections) of track lighting to be installed in a continuous row in a retail store, follow these steps:
1. Determine the total length of the track lighting: 6 sections * 4 feet per section = 24 feet.
2. Consider that a support is needed at the beginning and end of the track.
3. Assess the spacing between supports. For instance, let's assume supports can be placed every 4 feet.
4. Calculate the number of supports in between the ends: (24 feet - 4 feet) / 4 feet = 5 supports.
5. Add the supports at the beginning and end: 5 supports + 2 supports = 7 supports.
The minimum number of supports required is 7.
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a straight line joins the points A (2,1) and B (8,10) The point (6,y) lies on the line AB Find the y coordinate of c
Are rectangles ABCD and WXYZ congruent? Why or why not?
A. Yes, all right angles were preserved
B. Yes, both rectangles have an area of 24 square units.
C. Yes, a 180° rotation about the origin will map ABCD to WXYZ.
D. No, there is not a rigid transformation or a combination of rigid transformations that will map ABCD to WXYZ.
Answer:
D.
Step-by-step explanation:
ABCD area =12
WXYZ area=24
Answer:
D
Step-by-step explanation:
Palm Tree Paradise is a slum in Nairobi. The slum is 50 square kilometers in size.Currently, 100,000 people live there. Last year, 150,000 children were born and 80,000 people immigrated. 95,000 people died and 2,000 emigrated. It is believed that theslum, with proper infrastructure, could support up to 500 people per square kilometer.The current population density is ___.
Therefore, the current population density of Palm Tree Paradise is 2,000 people per square kilometer.
To calculate the current population density of Palm Tree Paradise, we divide the total population by the area of the slum:
Population Density = Total Population / Area
Given:
Total Population = 100,000 people
Area = 50 square kilometers
Population Density = 100,000 / 50
= 2,000 people per square kilometer
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find the value of b if side a measures 8.7 cm?
Answer:
The correct equation is 8.7 + b = 54.6
Step-by-step explanation:
because it is given that measure of side a is 8.7cm, in all other equations the values of a is different.