Answer:
2 : 3
Step-by-step explanation:
We'll begin by calculating the area of the entire garden. This can be obtained as follow:
Length of garden (L) = 12 m
Width of garden (W) = 5 m
Area of entire garden (A) =?
A = L × W
A = 12 × 5
Area of entire garden is 60 m²
Next, we shall determine the area of the garden reserved for flower. This can be obtained as follow:
Length of flower garden (L₁) = 12 – 4
= 8 m
Width of flower garden (W₁) = 3 m
Area of flower garden (A₁) =?
A₁ = L₁ × W₁
A₁ = 8 × 3
A₁ = 24 m²
Next, we shall determine the area of the garden reserved for grass. This can be obtained as follow:
Area of entire garden (A) = 60 m²
Area of flower garden (A₁) = 24 m²
Area of grass garden (A₂) =?
A = A₁ + A₂
60 = 24 + A₂
Collect like terms
A₂ = 60 – 24
A₂ = 36 m²
Finally, we shall determine the ratio of the area of the garden reserved for flowers to the area reserved for grass. This can be obtained as follow:
Area of flower garden (A₁) = 24 m²
Area of grass garden (A₂) = 36 m²
Ratio of flower garden to grass garden = A₁ : A₂
= 24 : 36
= 24 / 36
= 2 : 3
Therefore, the ratio of the area of the garden reserved for flowers to the area reserved for grass is 2 : 3
Which of the following angles is in standard position?
Answer:
C)
Step-by-step explanation:
Standard position for an angle means that the initial side is the positive x-axis.
Answer: C)
Answer:
C
Step-by-step explanation:
Angles in standard position have a vertex at the origin and one ray is on the positive x axis
What is the exact value of the trigonometric expression?
tan (7π/4)
a) -√2/2
b)1
c)-1
d)√2/2
Guys please help me with this question
Answer:
Step-by-step explanation:
[tex]\frac{g}{f} (x)=\frac{g(x)}{f(x)} \\=\frac{3x^2+x}{4x} \\=\frac{x(3x+1)}{4x} \\=\frac{3x+1}{4}[/tex]
Determine the period
Answer:
10
Step-by-step explanation:
acellus
The period of the given graph is 10.
Use the concept of a period of function defined as:
One full wave is set up in a medium for the length of time it takes a particle of that medium to complete one vibration or one wave period.
In the given wave,
X-axis represents time
The Y- axis represents the amplitude of the curve
As we can see,
The first peak of this graph is located at x = 1 and the second peak is at,
x = 13
Since the period is the time interval between two consecutive peaks in a graph.
In this case, the time interval is 10.
Hence,
The period of the given graph is 10.
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If z is a standard normal variable, find the probability.
The probability that z lies between -1.10 and -0.36.
0.2239
-0.2237
0.2237
0.4951
Answer:
Step-by-step explanation:
We are looking for the probability that (-1.10 < z < -.36)
The z score for -1.10 = .13567 and
the z score for -.36 = .35942
To find the probability that z will fall in between them, subtract the smaller from the larger to get .2237, or 22.37%
Today only, a sofa is being sold at a 72% discount. The sale price is 218.40.
What was the price yesterday?
Answer:
780
Step-by-step explanation:
Let x be the original price
x - x*72% is the new price
x - .72x = 218.40
.28x = 218.40
Divide each side by .28
.28x/.28 = 218.40/.28
x =780
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Suppose you obtain a five-year lease for a Porsche and negotiate a selling price of $146,000. The annual interest rate is 8.4%, the residual value is $75,000, and you make a down payment of $3000. Find each of the following.
A.) The net capitalized cost.
B.) The money factor. (Rounded to four decimal places)
C.) The average monthly finance charge. (Rounded to the nearest cent).
D.) The average monthly depreciation. (Rounded to the nearest cent.)
E.) The monthly lease payment. (Rounded to the nearest cent.)
Answer:
Look down below
Step-by-step explanation:
A.)Net capitalized cost=146,000-3000= $143,000
Net capitalized cost = 143,000
B.)Money factor=8.4/100 over 24=0.084/24=0.0035
Money Factor= 0.0035
C.)Average monthly finance charge= (143,000+75,000)x 0.0035= 218,000 x 0.0035=$763
Average Monthly Finance Charge= $763
D.)Average monthly depreciation= 143,000-75000/5 x 12=68000/60=$1133.33
Average monthly deprecation= $1133.33
E.)monthly lease payment=1133.33/5= $226.66
Monthly lease payment= $226.66
What is the angle of C?
Answer:
50°
Step-by-step explanation:
65 + 65 +C = 180
130+C = 180
C = 180 - 130 = 50
Hi there!
[tex]\large\boxed{C = 50^o}[/tex]
A line contains an angle of 180°, so:
∠C = 180° - 65° - 65°
∠C = 180° - 130°
∠C = 50°
Can someone please help me find 120% of 55
Answer:
Below
Step-by-step explanation:
It's 66
To find a percentage of a number just multiply it by 0.whatever the percentage if that makes sense...
In this case you would do 55 x 1.2 = 66
Hope this helps!
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\boxed{\mathsf{120\% \ of\ 55}}\\\huge\boxed{= \dfrac{120}{100}\times55}\\\huge\boxed{= \dfrac{6}{5}\times\dfrac{55}{\bf 1}}\\\huge\boxed{= \dfrac{6\times55}{5\times 1}}\\\\\\\huge\boxed{6\times55=\bf 330}\\\boxed{5\times1=\bf 5}\\\\\\\huge\boxed{= \dfrac{330\div5}{5\div5}}\\\huge\boxed{=\dfrac{66}{1}}\\\huge\boxed{= \bf 66}[/tex]
[tex]\huge\boxed{\textsf{Therefore, your ANSWER is: 66}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\huge\boxed{\frak{Amphitrite1040:)}}[/tex]
A sandwich shop offers a choice of 5 types of bread, 4 types of meat, and 3 types of cheese. How many different sandwiches could be made with 1 type of bread, 1 type of meat, and 1 type of cheese?
Answer:
12 type of bread 1 type of meat, 1 type of cheese and 1 type of bread.☺️☺️
Na função y = x² - 2x +1, temos que a = 1, b = -2 e c = 1, calcule as coordenadas do vértice da parábola
Answer:
(1, 0)
Step-by-step explanation:
x = -b / 2a
x = 2 / 2(1)
x = 2 / 2
x = 1
y = x^2 - 2x + 1
y = (1)^2 - 2(1) + 1
y = 1 - 2 + 1
y = -1 + 1
y = 0
vértice: (1, 0)
PLEASE HELP ME WITH THIS !!!
9514 1404 393
Answer:
(x -2)^2/16 +(y +2)^2/4 = 1
Step-by-step explanation:
The equation of an ellipse is ...
((x -h)/a)^2 +((y -k)/b)^2 = 1
where (h, k) is the center, and 'a' and 'b' are the semi-axes in the x- and y-directions respectively.
Here, we have (h, k) = (2, -2), and a=6-2 = 4, b = 0-(-2) = 2. Then the equation is ...
((x -2)/4)^2 +((y +2)/2)^2 = 1
More conventionally, the denominators are multiplied out, so this is ...
(x -2)^2/16 +(y +2)^2/4 = 1
help please!! i need to find the value of x
Answer:
The measure of angle JKM is:
JKL - MKL = JKM
⇒80°-25°=55°
so measure of angle JKM is 55°
Step-by-step explanation:
Given: overline LM cong overline ON and overline LO cong overline MN Prove : LMNO is a parallelogram
[tex]\overline {LM} \parallel \overline {ON} \ and \ \overline {LO} \parallel \overline {MN}[/tex] because they form congruent alternate interior angles with a common transversal, therefore, LMNO is a parallelogram because the opposite sides are parallel
The reason the above statement are correct is presented as follows:
The given parameters are;
[tex]\overline {LM}[/tex] is congruent to [tex]\overline {ON}[/tex] and [tex]\overline {LO}[/tex] is congruent to [tex]\overline {MN}[/tex]
Required:
To prove that LMNO (quadrilateral) is a parallelogram
Solution:
The two column proof is presented as follows;
Statement [tex]{}[/tex] Reason
[tex]\overline {LM} \cong \overline {ON}[/tex] [tex]{}[/tex] Given
[tex]\overline {LM} = \overline {ON}[/tex] [tex]{}[/tex] Definition of congruency
[tex]\overline {LO}[/tex] ≅ [tex]\overline {MN}[/tex] [tex]{}[/tex] Given
[tex]\overline {LO}[/tex] = [tex]\overline {MN}[/tex] [tex]{}[/tex] Definition of congruency
[tex]\overline{LN}[/tex] ≅
[tex]\overline{LN}[/tex] =
ΔLNO ≅ ΔLMN [tex]{}[/tex] Side Side Side (SSS) congruency postulate
∠NLM ≅ ∠LNO [tex]{}[/tex] Cong. Parts of Cong. Triangles are Cong. CPCTC
∠NLM and ∠LNO are alternate interior angles
[tex]\mathbf{\overline {LM} \parallel \overline {ON}}[/tex] [tex]{}[/tex] Alternate interior angles between parallel lines are congruent
∠MNL ≅ ∠NLO [tex]{}[/tex] CPCTC
∠MNL and ∠NLO are alternate interior angles
[tex]\mathbf{\overline {LO} \parallel \overline {MN}}[/tex] [tex]{}[/tex] Alternate interior angles formed between parallel lines are congruent
LMNO is a parallelogram because the opposite sides, [tex]\overline {LM} \parallel \overline {ON}[/tex] and [tex]\overline {LO} \parallel \overline {MN}[/tex] are parallel
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LMNO is a plane shape which has the properties of a parallelogram. The the explanations below, it has been proven to be a parallelogram.
A parallelogram is a quadrilateral which has some unique properties. These properties can be used to prove if a given shape is a parallelogram or not.
To prove that LMNO as given in the question is a parallelogram:
The opposite sides of a parallelogram are congruent.Thus,
/LM/ ≅ /ON/ (opposite side property)
/LO/ ≅ /MN/ (opposite side property)
The opposite sides are parallel to each other.i.e LM || ON and LO || MN
Consecutive angles are supplementary.i.e <MLO + <LMN = [tex]180^{o}[/tex]
also
<LON + <MNO = [tex]180^{o}[/tex]
The diagonals are at right angles to each other.LN ⊥ MO
Opposite angles are congruent.<LMN ≅ <LON and <MLO ≅ <MNO
Therefore the given quadrilateral LMNO has all the properties described above, then it is a parallelogram.
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5. Simplify: 2/5 +3/7+(-6/5)+ (-13/7)
Answer: -78 / 35
Step-by-step explanation:
Given
2/5 + 3/7 + (-6/5) + (-13/7)
Combine terms that have the same denominator
= 2/5 + (-6/5) + 3/7 + (-13/7)
= -4/5 - 10/7
Convert denominator by Least Common Multiple (LCM)
= (-4 × 7) / (5 × 7) - (10 × 5) / (7 × 5)
= -28/35 - 50/35
= -78 / 35
Hope this helps!! :)
Please let me know if you have any questions
Answer:
[tex] \frac{2}{5} + \frac{3}{7} + ( - \frac{6}{5} ) + ( - \frac{13}{7} ) \\ \frac{2}{5} + \frac{3}{7} - \frac{6}{5} - \frac{13}{7} \\ ( \frac{2}{5} - \frac{6}{5} ) + ( \frac{3}{7} - \frac{13}{7} ) \\ \frac{2 - 6}{5} + \frac{3 - 13}{7} \\ \frac{ - 4}{5} + \frac{ - 10}{7} \\ \frac{ - 4}{5} - \frac{10}{7} \\ \frac{ - 28 - 50}{35} \\ \frac{ - 78}{35} \\ - \frac{78}{35} [/tex]
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
A charity is holding a benefit at an Italian restaurant. The owner of the restaurant offers to donate $200 in addition to $4 for each person that attends. Write an equation where d is the total donation and p in the number of people that attend.
A. d=4p+200
B. d=4+200p
C. p=4+200d
D. p=4d+200
Answer:
A. d=4p+200
Step-by-step explanation:
The reason why this is, is because d is the total amount, equaling to 4 times p due to the fact that it is $4 for each person that attends.
Which of the following is a monomial?
9/x and 20x⁹ are the monomials.
The correct option A and D.
What is a polynomial?An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial.
A monomial is a polynomial with just one term.
From the given choices:
9/x and 20x⁹ are the monomials.
11x - 9 and 20x⁹ -7x are the binomial.
Therefore, A and D are the monomials.
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Correct answer gets brainliest and 5 stars
Answer:
A is false
Step-by-step explanation:
notice how in both diagrams, there are 4 triangles with lengths a, b, c, but in each diagram the triangles are just rotated and positioned differently. if there are the same amount of triangles in both diagrams, and the have equal lengths then the area of the remaining figure, should both match up.
basically the area of the big square in Step 2, is equal to both of the shaded squares, combined area, in Step 1.
the volume of a cube that is 6 units on an edge in exponential form
Answer:
[tex] {6}^{3} = 216[/tex]
Look at this rectangular prism:
If the height is quadrupled, then which of the following statements about its volume will be true?
Answer:
the new volume Will be 4 times the old volume
Step-by-step explanation:
I have put the photo 3
Erynn glued k seashell on a photo frame. She made 5 such photo frames. How many seashells did she use?
Seashells glued on 1 photo frame = k
So, seashells glued on 5 photo frame
= Seashells glued on 1 photo frame × 5
= k × 5
= 5k
So, Erynn used 5k seashells.
In circle O, the length of OB is 6 inches, and the measure of ∠AOB is 120°. What is the length of arc AB, in inches (show your answer in terms of π)? *
Answer:
4π inches
Step-by-step explanation:
Formula for finding length of arc AB = θ/360*2πr
Where,
Central angle (θ) = 120°
Radius (r) = 6 inches
Length of arc AB = 120/360*2*π*6
Length for arc AB = ⅓*12π
= 4π inches
Does anyone know how to do these. Its due in the morning. Pls help
Answer:
15)Given equation:
y = 2/5x - 3To plot the line first find two points:
1. x = 0 ⇒ y = -32. x = 5 ⇒ y = -1Plot (0, -3) and (5, -1) and connect the points with a line. This will be the required line.
16)Use Pythagorean to find the missing leg:
[tex]x = \sqrt{13^2 - 5^2} = \sqrt{144} = 12[/tex] unitsA circle has a radius of \sqrt{45} 45 square root of, 45, end square root units and is centered at (-2.4,-4.8)(−2.4,−4.8)left parenthesis, minus, 2, point, 4, comma, minus, 4, point, 8, right parenthesis.
What is the equation of this circle?
Answer:
(x + 2.4)² + (y + 4.8)² = 45Step-by-step explanation:
Circle equation:
(x - h)² + (y - k)² = r², where (h, k) is the center, r - radiusSubstitute the values to get the equation:
(x - (- 2.4))² + (y - (-4.8))² = (√45)²(x + 2.4)² + (y + 4.8)² = 45Answer:
(x+2.4)^2 + (y+4.8)^2 =45
Step-by-step explanation:
Consider the formula 4(h-3k)= h+7.
(a) Make k the subject of the above formula.
(b) If the value of h is decreased by 8, write down the change in the value of k.
guys I really need help
plzzzzzz
Answer:
=k=0.25h-7/12
Step-by-step explanation:
4(h-3k)=h+7
=4h-12k=h+7
collecting like terms and leaving characters with k on 1 side, we get;
12k=3h-7
=k=0.25h-7/12
40÷1+3‐(3×7)+7-5 use pedams to answer the following question
Hey there!
40 / 1 + 3 ‐ (3 * 7) + 7 - 5
= 40 + 3 - (3 * 7) + 7 - 5
= 43 + 7 - 5 - 3 * 7
= 50 - 5 - 3 * 7
= 45 - 3 * 7
= 45 - 21
= 24
Answer: 24
Good luck on your assignment and enjoy your day!
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Given the function f(x) = -2c+cx-x^2, and f^-1(5) = -1, find c
Answer:
[tex]c=-2[/tex]
Step-by-step explanation:
We are given the function:
[tex]f(x) = -2c + cx - x^2[/tex]
And that:
[tex]\displaystyle f^{-1} (5) = -1[/tex]
And we want to determine the value of c.
Recall that by definition of inverse functions:
[tex]\displaystyle \text{If } f(a) = b, \text{ then } f^{-1}(b) = a[/tex]
So, since f⁻¹(5) = -1, then f(-1) = 5.
Substitute:
[tex]f(-1) = 5 = -2c + c(-1) - (-1)^2[/tex]
Simplify:
[tex]5 = -2c - c - (1)[/tex]
Combine like terms:
[tex]6 = -3c[/tex]
And divide. Hence:
[tex]c = -2[/tex]
In conclusion, the value of c is -2.
Please hurry I will mark you brainliest
Find the median, first quartile, third quartile, interquartile range, and any outliers for each set of data. 111, 68, 93, 88, 74, 152, 119, 87, 88, 105, 84, 102, 151, 115, 112 A. Median: 102, Q1: 87, Q3: 113, IR: 28, outliers: none B. Median: 102, Q1: 87, Q3: 115, IR: 28, outliers: 68 C. Median: 102, Q1: 87, Q2: 115, IR: 28, outliers: none D. Median: 102, Q1: 87, Q3: 115, IR: 27, outliers: none
Answer:
Q1 = 87 ;
Q2 = 102 ;
Q3 = 115 ;
IQR = 28
OUTLIER = None
Step-by-step explanation:
Given the data:
111, 68, 93, 88, 74, 152, 119, 87, 88, 105, 84, 102, 151, 115, 112
Ordered data : 68, 74, 84, 87, 88, 88, 93, 102, 105, 111, 112, 115, 119, 151, 152
Sample size, n = 15
The first quartile, Q1 = 1/4(n+1)th term
Q1 = 1/4(15+1)th term
Q1 = 1/4(16) = 4th term
Q1 = 87
The Median , Q2 = 1/2(n+1)th term
Q2 = 1/2(15+1)th term
Q2 = 1/2(16) = 8th term
Q2 = 102
The third quartile, Q3 = 3/4(n+1)th term
Q3 = 1/4(15+1)th term
Q3 = 3/4(16) = 12th term
Q3 = 115
The interquartile range, IQR = Q3 - Q1
IQR = (115 - 87) = 28
Q1 = 87 ;
Q2 = 102 ;
Q3 = 115 ;
IQR = 28
OUTLIER = None
I need help finding y
to solve for y, we must multiply by t on both side to get ride of the t in the denominator. By doing this, we will get:
[tex] {t}^{3} [/tex]
on the right side.
Subtracting 3, and we have successfully isolated y.
It would be impossible to get a quantitative value for y if we don't know the value of t.
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