Answers
The amount of paper that Lemon needs for the actual poster will be 8 square feet.
What is a rectangle?It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the center.
The dimension of the poster is 10 cm by 20 cm.
And the scale factor will be 5 cm is equal to 1 ft.
Then the dimension of the poster will be 2 ft by 4 ft.
Then the amount of the paper that Lemon needs for the actual poster will be
Area = 2 × 4
Area = 8 ft²
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Related Questions
Match the graph with the correct equation.
y-1 = -4(x + 5)
y-1 = -1/4(x + 5)
y+1 = -1/4(x + 5)
y-1 = -1/4(x + 5)
Answers
Kate has $17. She wants to hire a bike for 5 hours. There are two companies.
The table shows the cost C, in $, of hiring the bike for n hours from each company.
Company A C = 2n + 6
Company B C = 3n + 3
Find the cost of hiring a bike from Company A and Company B.
Answers
Answer:
It's 8 yuan per hour in company A and 9 yuan per hour in company B
Find the remainder when 2x^3-5x^2+x-3 is divided by (x-1)
Answers
Answer:
-7.
Step-by-step explanation:
Using the Remainder Theorem :
If f(x) is divided by x-1 then the remainder is f(1), so
The required remainder
= f(1) = 2(1)^3 - 5(1)^2 + (-1) - 3
= 2 - 5 - 1 - 3
= -7.
Answer:
remainder = -5
Step-by-step explanation:
Divide using long division:
[tex]\large \begin{array}{r}2x^2-3x-2\phantom{)}\\x-1{\overline{\smash{\big)}\,2x^3-5x^2+x-3\phantom{)}}}\\\underline{-~\phantom{(}(2x^3-2x^2)\phantom{-b))))))}}\\0-3x^2+x-3\phantom{)}\\ \underline{-~\phantom{()}(-3x^2+3x)\phantom{-b}}\\ 0-2x-3\phantom{)}\\\underline{-~\phantom{()}(-2x+2)}\\ -5\end{array}[/tex]
x/7 ≥ -6 please help me solve for x
Answers
Answer:
x ≥ -42
Step-by-step explanation:
[tex]\frac{x}{7} > =-6[/tex]
[tex]\frac{x}{7}\cdot 7 > =-6\cdot 7[/tex]
[tex]\frac{1}{7}\cdot 7x > =-6\cdot 7[/tex]
[tex]x > =-6\cdot 7[/tex]
[tex]x > =-42[/tex]
Shortcut
• Multiply positive 7 by negative 6 to find x as a shortcut.
PLEADE HELP??????????????
Answers
Answer:
A
Step-by-step explanation:
because for combinatioj order are no imoortant
△MNP is the image of △JKL after a reflection in the x-axis. Select all of the statements that are always true. The length of side KL equals the length of side PM. The length of side , KL, equals the length of side , PM, . The length of side JK equals the length of side MN. The length of side , JK, equals the length of side , MN, . The measure of angle K equals the measure of angle P. The measure of angle , K, equals the measure of angle , P, . The measure of angle L equals the measure of angle P.
Answers
The corresponding sides and angles of the both triangle would be congruent to each other.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
△MNP is the image of △JKL after a reflection in the x-axis. Therefore, both triangles would be congruent.
The corresponding sides and angles of the both triangle would be congruent to each other.
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if x/5 + 6 = -14, then x =
Answers
Answer:
The answer is (-100).
Step-by-step explanation:
Given;x/5 + 6 = -14To Find;The value of xNow,
x/5 + 6 = -14
Cross multiplication
x + 5 × 6 ÷ 5 = -14
x + 30/5 = -14
Multiply 5 both sides we get,
x + 30/5 × 5 = -14 × 5
x + 30 = -70
x + 30 – 30 = -70 – 30
x = -100
Thus, The value of x is (-100).
Answer:
[tex]\huge\boxed{\sf x = -100}[/tex]
Step-by-step explanation:
Given Equation:
x/5 + 6 = -14
Subtract 6 to both sides
x/5 = -14 - 6
x/5 = -20
Multiply 5 to both sides
x = -20 × 5
x = -100
[tex]\rule[225]{225}{2}[/tex]
A training field is formed by joining a rectangle and two semicircles, as shown below. The rectangle is 86m long and 64m wide. Find the area of the training field. Use the value 3.14 for π, and do not round your answer. Be sure to include the correct unit in your answer.
Answers
The area of the training field is 5606.48 m².
What is area?Area can be defined as the region bounded by a plane shape.
To calculate the area of the training field, we use the formula below.
Formula:
A = lw+π(w/2)².................. Equation 1Where:
A = Area of the training fieldl = Length of the training fieldw = width of the training fieldπ = pieFrom the question,
Given:
l = 86 mw = 64 mSubstitute these values into equation 1
A = (86×64)+[3.14×(64/2)²]A = 5504+100.48A = 5604.48 m²Hence, the area of the training field is 5606.48 m².
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Determine the volume of a cube with sides of 30mm
Answers
Answer: Hello, your answer would be [tex]2.7x10^-5m^3[/tex]
Step-by-step explanation:
[tex]30mm[/tex]
[tex]a=0.03m[/tex]
[tex]V=a^3=0.03^3=2.7x10^-5m^3[/tex]
(the answer is also in the picture)
Answer:
V≈2.7×10^-5m³
Step-by-step explanation:
a=edge
Unit Conversion:
a=30mm/1000m
a=0.03m
Solution
V= a³= 0.03³
a³=0.03x0.03x0.03 ≈ 2.7×10^-5m³
There was a population of 160 beavers in a National Park. After a year, the population increased by 45%. How many beavers are there in the park now?
Answers
Answer:
232
Step-by-step explanation:
→ Find the percentage multipier
( 100 + 45 )÷ 100 = 1.45
→ Multiply this by the original amount
1.45 × 160 = 232
NO LINKS!!! For each table, tell whether represents a linear, exponential, inverse, or no relationship. Write an equation each table(if possible).
Answers
[tex]\large\boxed{\sf inverse \ variation}[/tex]
[tex]\sf \large\boxed{\sf xy = 12}[/tex]
Explanation:The coordinates are given in the table. Plot the points and draw a smooth curve on the graph. Identify the type of curve it forms.
After identification, it looks like a inverse graph.
Constant variable:
1 × 12 = 122 × 6 = 123 × 4 = 124 × 3 = 126 × 2 = 12Inverse variation: xy = a [a is constant]
Equation: xy = 12 or y = 12/x
Answers:
This is an Inverse variation
The equation is y = 12/x which is the same as saying xy = 12
======================================================
Explanation:
Notice that for each column, the x & y values multiply to 12.
1*12 = 122*6 = 123*4 = 124*3 = 126*2 = 128*1.5 = 1210*1.2 = 1212*1 = 12This tells us that x*y = 12 which rearranges to y = 12/x
All inverse variation equations are of the form y = k/x which is equivalent to xy = k.
As x increases, y decreases, and vice versa.
Which of the following is equal to tan O using coordinates on the unit circle?
А) У/ х
B) xly
C) x
D) y
Answers
The expression which is equal to tan O using coordinates on the unit circle is y/x. Option A is correct.
What is right angle triangle property?In a right angle triangle, the ratio of the opposite side to the base side is equal to the tangent angle between them.
[tex]\tan\theta=\dfrac{b}{a}[/tex]
Here, (a) is the base side, (b) is the opposite side.
Let suppose y is the length of opposite side in a unit circle and x is the length of base side. Thus, the value of tan theta is:
[tex]\tan\theta=\dfrac{y}{x}[/tex]
Hence, the expression which is equal to tan O using coordinates on the unit circle is y/x. Option A is correct.
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Please heLp me lollol
Answers
Answer:
AC = 10Step-by-step explanation:
AB = 6
BC = 4
just sum
6 + 4 = 10
AC = 10
Part 1: Complete the operations geometrically.
Use vector operations to draw the resultant vector.
⦁ Draw 2u + 4v.
Answers
Answer:
Step-by-step explanation:
The geometrically operations 2u + 4v is (2,12).
For immediately line graphs there is a linear relationship between the x and y values and so the line is instantly and should be drawn with a ruler. The gradient determines how steep the road is and the y-intercept tells us the vicinity wherein the immediate line intersects the y-axis.
Why is a graph a direct line?It continually goes up in steps of equal length, so it is a straight line. that is first-class as a way because it goes. It identifies the defining assets of a linear feature—that it has a constant rate of exchange—and relates that property to a geometric feature of the graph.
What is a straight line graph?The graph follows a straight line equation shows a straight line graph.
equation of a straight line is y=mx+cy represents vertical line y-axis.
x represents the horizontal line x-axis.
m is the slope of the line
slope(m)=tan∅=y axis/x axis.
c represents y-intercepts (it is the point at which the line cuts on the y-axis)Straight line graphs show a linear relationship between the x and y values.Learn more about geometry here:-https://brainly.com/question/19241268
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Find the probability giving brainlest
Answers
Answer:
[tex]0.33[/tex]
Step-by-step explanation:
There are 6 sides on dice, therefore the sample space would be 6 (the sample space is the denominator). We were asked to find the probability of getting a 1 or a 6. Since we were given 2 options 1 or 6, it therefore means that we are trying to find the probability of the dice rolling on 2 out of the 6 sides it has. Therefore the probability would be:
[tex] \frac{2}{6} \: or \: \frac{1}{3} [/tex]
A third as a decimal is
[tex]0.33[/tex]
An airplane is headed due south with an airspeed of 300 kph. A wind is blowing from the west at 120 kph. What is the ground speed and direction of the plane?
323 kph with a directional bearing of S 22° E
328 kph with a directional bearing of S 68° E
420 kph with a directional bearing of S 22° E
420 kph with a directional bearing of S 68° E
Answers
The ground speed and direction of the plane is 323 kph with a directional bearing of S 22° E
To find the ground speed of the plane, we need to know what a vector is
What is a vector?A vector is a variable that has both magnitude and direction.
Since the airplane is headed due south with an airspeed of 300 kph, its vector is V = (-300 kph)j.
Also, the wind is blowing from the west at 120 kph. Its vector is v = (-120 kph)i
Now, the ground speed of the plane V' is the resultant vector of the airspeed and wind speed.
What is a resultant vector?A resultant vector is the sum of two or more vectors.
So, V' = v + V
V' = (-120 kph)i + (-300 kph)j
So, its magnitude V' = √(x² + y²) where
x = -120 kph and y = -300 kph.So, V' = √[(-120 kph)² + (-300 kph)²]
= √[14400 kph² + 90000 kph²]
= √(104400 kph²)
= 323.11 kph
≅ 323 kph
The direction of the planeIts direction, Ф = tan⁻¹(y/x)
Ф = tan⁻¹(-300 kph/-120 kph)
Ф = tan⁻¹(2.5)
Ф = 68.2°
From the South-line we have α = 90° - Ф = 90° - 68.2° = 21.8° ≅ 22°
So, the directional bearing of the plane is S22°E.
So, the ground speed and direction of the plane is 323 kph with a directional bearing of S 22° E
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Answer:
A on edge 2022
Step-by-step explanation:
323 kph and 22 E
.
Jill rolled a regular 6-faced die three times and got 2 each time.
What is the probability that she will roll 2 again on the next roll?
Answers
Answer: 1/6
Step-by-step explanation:
Since there’s only one side on the dice that has two on it out of six sides it has to be 1/6.
Find the equation of the perpendicular line, to the line: y=2x+4
Answers
Answer:
y = -1/2 x + 4
Step-by-step explanation:
y = 2x + 4
Since this equation is in slope-intercept form, the slope of the line is 2. Perpendicular lines have slopes that are negative reciprocals of each other. Thus, the slope of a line perpendicular to this line would be -1/2.
So, any equation of the form y = -1/2 x + b
it does not matter what the y-intercept of either line is. They will remain perpendicular as long as their slopes are negative reciprocals.
4.
Let the cost function f of the unusual planet that orbit the earth is given as follows:
Vx+c² - c
f(x)=
c>0
x
I
(a)
Find the domain of f?
(b) Explain how can you define ſ so that it is continuous at x=0?
b
Answers
(a)The domain of the function is, [tex]\rm x \geq -c^2 \ x\neq0[/tex]
(b)The given function is discontinuous at x=0.
What is the domain and range of a function?
Domain is the set of values for which the given function is defined. Range is the set of all values which the given function can output.
The standard function is;
[tex]\rm f(x)= \frac{\sqrt{x+c^2-c} }{x} , c > 0[/tex]
The domain of the given function is found as;
[tex]\rm x+c^2 \geq 0 \ x\neq 0 \\\\ x\geq-c^2 \ x\neq 0[/tex]
The domain of the function is,
[tex]\rm x \geq -c^2 \ x\neq0[/tex]
To find the function is continuous or not, we have to find the continuity;
[tex]\rm f(x) = \frac{\sqrt{ x+c^2-c}}{x} ,c > 0[/tex]
At x= 0 the function is undefined. So that the function is discontinuous at x=0.
Hence, The domain of the function is, [tex]\rm x \geq -c^2 \ x\neq0[/tex] and the function is discontinuous at x=0.
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In order to predict future housing needs the population of two towns, Appletown and Callwood, have been monitored and plotted on a graph for the past four years. The results are shown on the graph above. If both towns continue to grow at their current rates, which town will have the largest population at year 10 of the study? A
Answers
If both towns, Appletown and Callwood, continue to grow at their current rates, Callwood will have the larger population at year 10 because it is increasing exponentially.
What is exponential growth?Exponential growth occurs when the pattern of increase is higher with the passage of time.
The formula for the exponential increase is as follows:
f(x)=a(1+r)^{x}
Where:
f(x) = exponential growth function
a = initial number or amount
r = growth rate
{x} = number of time intervals
Thus, if both towns, Appletown and Callwood, continue to grow at their current rates, Callwood will have the larger population at year 10 because it is increasing exponentially.
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*2.) Which trinomial is equivalent to 4(x - 5)^2– 3(x - 2)?
Answers
Answer:
4x² - 43x - 106
Step-by-step explanation:
4(x - 5)²– 3(x - 2)
4(x - 5)(x - 5) - 3 (x - 2)
distribute
4(x(x - 5) - 5(x - 5)) - 3 (x - 2)
4(x² - 5x - 5x - 25) - 3 (x - 2)
↓
combine like terms ↓
4(x² - 10x - 25) ((( ↓
distribute again ↓
4x² - 40x - 100 ↓
↓
distribute ↔ ↓
4x² - 40x - 100 - 3 (x - 2)
4x² - 40x - 100 - 3x + 6
add
4x² - 40x - 106 - 3x
combine
4x² - 43x - 106
Jan's electric bill is averaging $8 per day mostly due to the air conditioner. By setting the AC to a higher temperature, closing curtains to block sunlight, and using direct-blowing fans for comfort, Jan reduces the bill to $5 per day. How much did Jan reduce the electric bill for a 30-day month?
Answers
Answer:
$5×30days= $150 for the whole month
Answer: $90 saved
Step-by-step explanation:
8 - 5 = $3 dollars saved each day
Multiply daily amount saved by number of days
$3 × 30 = $90 saved
the marathon runner runs 5/2 miles in 1/4 hour what is the unit rate?
Answers
Step-by-step explanation:
Divide the two numbers.
5/2 / 1/4
Flip the 2nd fraction and multiply:
5/2 * 4/1
20/2
10
So the marathon runner travels at a unit rate of 10 MPH.
Find the missing digit for the following bank identification numbers:
71100139█
321000█56
Answers
Answer:
711001392
321000759
Step-by-step explanation:
hope it helps ^o^
Type such digits that's are correlated to both numbers but they are not present in both rather than present in one.
They can be 2 and 7 or 5 and 9
711001392321000756You can write other one also
Dried rose petals can be used to make rose water. Fatima buys 0.454 kilogram
of rose petals.
• She uses 0.02 kilogram of the rose petals to make rose water.
• Then, she buys an additional 0.056 kilogram of rose petals.
• Finally, she uses 0.095 kilogram of the rose petals to make more rose water.
Fatima completes the steps below and says she has 0.413 kilogram of rose
petals left. What mistake did Fatima make?
Use the drop-down menus to explain her mistake and to find the number of
kilograms of rose petals left.
First Step
Second Step
Third Step
0.454
0.452
0.508
0.02
+0.056
- 0.095
0.452
0.508
0.413
Click the arrows to choose an answer from each menu.
Fatima made her first mistake at the Choose...
step.
She incorrectly Choose...
Fatima has Choose...
Y
kilogram of rose petals left.
Answers
Fatima's claim that she has 0.413 kilogram of rose petals left is wrong
How to determine the amount of rose petals left?The given parameters are:
Amount purchased = 0.454 kg and 0.056 kgUsed amounts = 0.02kg and 0.095 kgThe amount left is the difference between the amount purchased and the amount used.
So, we have:
Remaining = 0.454 + 0.056 - 0.02 - 0.095
Evaluate
Remaining = 0.395
This means that the remaining amount is 0.395kg, not 0.413 kg
Hence, Fatima's claim that she has 0.413 kilogram of rose petals left is wrong
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Answer: she is left with 0.395 kilogram of rose pedals
Step-by-step explanation: she misalinged the first step,
0.454 - 0.02 = 0.434 + 0.056 = 0.490 - 0.095 = 0.395
Javier uses 1/8 teaspoon of nutmeg for each loaf of banana bread he makes. How many loaves f banana bread can Javier with 4 teaspoons of nutmeg?
Answers
What is the perimeter of this composite figure?
Answers
Answer:
24.56
Step-by-step explanation:
the circumference of a cricle is pi times diameter (so 4pi) then add both sides of 6 (so 12)
Answer:
P= 24.56cm
Step-by-step explanation:
P=2L + πd
P=2x 6cm + 3.14x4cm
p=12cm+12.56cm
P= 24.56cm
Convert the degree measure to radian measure as a multiple of pi and as a decimal rounded to three decimal places.
Answers
Step-by-step explanation:
remember, 360° (the full circle) = 2pi
a)
60° = 60/360 × 2pi = 2pi/6 = pi/3 = 1/3 × pi =
= 1.047197551... ≈ 1.047
b)
210° = 210/360 × 2pi = 210/180 × pi = 7/6 × pi =
= 3.665191429... ≈ 3.665
c)
225° = 225/360 × 2pi = 225/180 × pi = 45/36 × pi =
= 5/4 × pi = 3.926990817... ≈ 3.927
d)
120° = 120/360 × 2pi = 2pi/3 = 2/3 × pi =
= 2.094395102... ≈ 2.094
I need help with this question please!! See attached
Answers
Answer:
(a) 191 had side effects
(b) 370 had nausea
(c) 86 had both anxiety and fatigue
Step-by-step explanation:
See attached. We look at the Venn diagram to answer the different questions.
If you are color blind let me know and I will mark the attachment more clearly.
When hired at a new job selling electronics, you are given two pay options: • Option A: Base salary of $10,000 a year with a commission of 9% of your sales • Option B: Base salary of $20,000 a year with a commission of 4% of your sales How much electronics would you need to sell for option A to produce a larger income? Enter your answer as an inequality using the variable x to represent electronics sales in dollars. Do not enter any commas in your answer.
Answers
Using linear functions, it is found that the number of electronics that you need to sell for a larger income in option A is x > 200,000.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.Considering the base salaries as the intercept and the commissions as the slope, the functions are given by:
A(x) = 10000 + 0.09x.B(x) = 20000 + 0.04x.To produce a larger income in option A, it is needed that:
A(x) > B(x).
Hence:
10000 + 0.09x > 20000 + 0.04x
0.05x > 10000
x > 10000/0.05
x > 200,000
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