A parallelogram has one side that is 4 centimeters long and one side that is 6 centimeters long. What is the perimeter of the parallelogram? Explain.
How can you find the perimeter of a parallelogram??
Answer:
20
Step-by-step explanation:
2L + 2W = P :))
Please help answer the questions below
Answer:
(a) ∠7 = 47°. Angles 5 and 7 are vertical angles, hence congruent.
(b) 47 +(2x -5) = 180
(c) 69
Step-by-step explanation:
Given angles identified as ∠5, ∠6, ∠7 where two lines cross, and the measure of ∠5 as 47°, you want the measure of ∠7, and an equation and solution when ∠6 is (2x-5).
(a) Vertical anglesAngles that share a vertex and are formed from opposite rays are "vertical angles." They are congruent.
Angles 5 and 7 are vertical angles, so the measure of angle 7 is the same as the measure of angle 5.
∠7 = 47°
(b) Supplementary anglesAngles that form a linear pair are supplementary. This means the sum of angles 5 and 6 is 180°.
∠5 +∠6 = 180°
47° +(2x -5)° = 180°
(c) Solution2x = 138 . . . . . . . . . . . . divide by °, subtract 42
x = 69
Find the standard form of the equation of the hyperbola with the given characteristics.
Vertices:
(3, −4), (3, −8);
passes through the point
(7, −12)
The standard form of the equation of the hyperbola is
[(y + 6)²/4] - [(x - 3)²/16] = 1.08
We have,
To find the standard form of the equation of a hyperbola, we need to know the locations of the vertices and the foci.
In this case, we are given the coordinates of the vertices, but we need to find the foci. However, we are also given that the hyperbola passes through the point (7, −12), which will allow us to find the foci.
First, let's find the center of the hyperbola.
Since the vertices have the same x-coordinate of 3, the center must be the point (3, −6), which is the midpoint of the two vertices.
Next, we can find the distance between the center and one of the vertices. Using the distance formula, we get:
d = √[(3 - 3)² + (-8 - (-6))²] = 2
Since the vertices are vertically aligned, we know that the distance from the center to each vertex is the same.
Therefore, the distance from the center to each vertex is also 2.
We can now use the Pythagorean theorem to find the distance from the center to each focus, which we will call c.
We know that c² = a² + b², where a is half the distance between the vertices (in this case, a = 2), and b is half the distance between the foci.
We want to solve for b.
Since the hyperbola passes through the point (7, −12), we know that the distance from this point to each focus is constant and equal to the distance from this point to the center of the hyperbola.
Using the distance formula, we can set up the following equation:
√[(7 - 3)² + (-12 - (-6))²] = sqrt[(7 - 3)^²+ (-12 - (-8))²] + b
Simplifying this equation, we get:
2 √(37) = 2 √(20) + b
b = √(37) - √(20)
Now that we have the values of a and b, we can write the standard form of the equation of the hyperbola:
[(y + 6)²/4] - [(x - 3)²/16] = 1 + [(√(37) - √(20))²/16]
Simplifying, we get:
[(y + 6)²/4] - [(x - 3)²/16] = 1.08
Therefore,
The standard form of the equation of the hyperbola is
[(y + 6)²/4] - [(x - 3)²/16] = 1.08
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Compound Area mathsss
Answer:
The answer for Area is 189.29in²
Step-by-step explanation:
Area of compound =Area of semi circle +Area of rectangle
r=d/2=10/2=5in
A=1/2pir² + L×B
A=1/2×5² + 10×15
A=25pi/2+150
A=39.29+150
A=189.29in²
The ratio of the sides of rectangle LMNP to the sides of rectangle TUVW is 1:4. The length of LM is 3.6 in, and the length of UV is 16 in.
What is the difference between the areas of the two rectangles?
A. 226 in2
B. 172.8 in2
C. 211 in2
D. 216 in2
Sarah has 14 cupcakes she gives 3/7 away how many cupcakes did she give away
Answer:
she gave away 6 cupcakes
Step-by-step explanation:
3/7 is the same as 6/14.
if she gave away 6/14 cupcakes, she gave away 6 cupcakes
Find m AB
Please and thank you
Arcs get their angle measure from the central angle they're in, in this case the central angle of 86°, central to arcED, has a counterpart of a twin vertical angle across the center, since both vertical angles are identical twins that means the central angle for arcAB is 86° also, and that's the arcAB's measure too.
Find x
Find x
Find x
Thank you.
The value of x in the triangle is 7 units.
How to find the side of a triangle?The triangle has three sides. Let's find the value of x in the triangle as follows:
x + 12 - 15 = 4
Therefore,
x - 3 = 4
add 3 to both sides of the equation
x - 3 = 4
x - 3 + 3 = 4 + 3
x = 7 units
Therefore, the value of x in the triangle is 7 units.
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-3(w+5)+4(3w-5) simplify
Answer:
9w - 35
Step-by-step explanation:
-3(w + 5) + 4(3w - 5)
(Use the distributive property to multiply -3 by w + 5.)
-3w - 15 + 4(3w - 5)
(Use the distributive property to multiply 4 by 3w - 5)
-3w - 15 + 12w - 20
(Combine -3w and 12w to get 9w.)
Subtract 20 from -15 to get -35.
9w - 35.
Answer:
[tex]\mathrm{9w-35}[/tex]Step-by-step explanation:
[tex]\mathrm{-3(w+5)+4(3w-5) }[/tex]
Expand (Apply the distributive property) :-
[tex]\mathrm{-3w-15+12w-20}[/tex]
Combine like terms:-
[tex]\mathrm{-3w+12w=\bf 9w}[/tex]
[tex]\matherm{-15-20=\bf-35}[/tex]
[tex]\mathrm{9w-35}[/tex]
______________________
Hope this helps!
$6,000 dollars is invested in two different accounts earning 3% and 5% interest. at the end of one year, the two accounts earned $220 in interest. how much money was invested at 3%
The amount of money is 4000 was invested at 3%.
Let x be the amount of money invested at 3%.
Then, the amount of money invested at 5% is 6000 - x.
The interest earned on the amount invested at 3% is 0.03x.
The interest earned on the amount invested at 5% is 0.05(6000 - x) = 300 - 0.05x.
The total interest earned is given as $220.
So, we can write the equation:
0.03x + (300 - 0.05x) = 220
Simplifying and solving for x, we get:
0.03x + 300 - 0.05x = 220
-0.02x + 300 = 220
-0.02x = -80
x = 4000
Therefore, $4000 was invested at 3%.
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a = 19.5 cm, b = 12.5 cm and c = 5.5 cm for the triangle shown below.
X
X =
- C
Work out the value of a rounded to 1 DP.
The diagram is not drawn to scale.
cm
a
- b----
The value of x rounded to 1 decimal place is 15.9 cm.
What is Pythagorean theorem?In Mathematics and Geometry, Pythagorean's theorem is modeled or represented by the following mathematical equation (formula):
x² + y² = z²
Where:
x, y, and z represents the length of sides or side lengths of any right-angled triangle.
How to determine the value of x?First of all, we would determine length of sides or side lengths of the opposite side of the ight-angled triangle as follows;
12.5² + y² = 19.5²
156.25 + y² = 380.25
y² = 224 cm.
y = √224 cm
Now, we can determine value of x;
x² = (√224)² + (5.5)²
x² = 224 + 30.25
x = 15.9 cm.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
James Abbott McNeill Whistler's Nocturne in Black and Gold: The Falling Rocket (c. 1875) is an example of "art-for-art's sake" of the
________ movement.
O Color Field
Aesthetic
Impressionist
Avant-Garde
James Abbott McNeill Whistler's Nocturne in Black and Gold: The Falling Rocket (c. 1875) is an example of "art-for-art's sake" of the Aesthetic movement is: B. Aesthetic.
What is The Falling Rocket?The art for art's sake movement which began to form in the late 19th century as a response against the utilitarian and moralistic attitude to art that had predominated in previous centuries is exemplified by The Falling Rocket.
The movement emphasized the value of art as a self sufficient and independent field, free from politics, religion and other outside influences.
Therefore the correct option is B.
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12. You start the day left with 3 assignments due tomorrow. Your work load seems to double every period!
That means you would have how many assignments due tomorrow by 1st period? 4th period? 8th period?
Write an equation for this scenario & answer all questions.
The equation for the scenario of the work load doubling every period would be Assignments due = 3 x 2^(number of periods)
The assignments due would be:
1 st period - 6 assignments 4 th period - 48 assignments 8th period - 768 assignments How to find the assignments due ?Assignments start at 3 assignments and then double per period so the best equation is:
Assignments due = 3 x 2^(number of periods)
After 1 period:
Assignments due = 3 x 2^(number of periods)
= 3 x 2
= 6 assignments
After 4 periods:
= 4 x 2⁴
= 48 assignments
After 8 periods:
= 4 x 2 ⁸
= 768 assignments
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Find the surface area to the nearest whole number.
The surface area of the figure in this problem is given as follows:
S = 48m².
What is the surface area of a rectangular prism?The surface area of a rectangular prism of height h, width w and length l is given by:
S = 2(hw + lw + lh).
This means that the area of each rectangular face of the prism is calculated, and then the surface area is given by the sum of all these areas.
The figure in this problem is composed as follows:
Rectangular prism of dimensions 2m, 2m and 4m.Four triangles of base 2 m and height 2m.Hence the surface area of the figure is given as follows:
S = 2 x (2 x 2 + 2 x 4 + 2 x 4) + 4 x 1/2 x 2 x 2
S = 48m².
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The spinner shown has eight congruent sections. The spinner is spun 320 times. What is a reasonable prediction for the number of times the spinner will land on an odd number?
It is fair to assume that the spinner will land on an odd number 160 times.
The likelihood of landing on any one of the eight congruent portions of the spinner is 1/8. This information allows us to reasonably forecast the frequency with which the spinner will fall on an odd number.
The likelihood of landing on an odd number is 4/8 or 1/2 since the spinner has four odd numbers (1, 3, 5, and 7) and four even numbers (2, 4, 6, and 8). Thus, we may anticipate that the spinner will land on an odd number on average 50% of the time.
If the spinner is spun 320 times, we would expect it to land on an odd number about half of those times, or approximately:
(1/2) x 320 = 160
Therefore, the probability that the spinner will fall on an odd number 160 times is fair.
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A reasonable prediction for the number of times the spinner will land on an odd number is 160.
We have,
Since the spinner has eight congruent sections, each odd number (1, 3, 5, and 7) appears once on the spinner, and there are a total of four odd numbers.
Since the spinner is spun 320 times, we can expect each section of the spinner to be landed on equally, on average.
Therefore, the expected number of times the spinner will land on any one section is 320/8 = 40.
Since each odd number appears once on the spinner, we can expect the spinner to land on an odd number 4 times in every 8 spins, or once in every 2 spins.
Therefore, the expected number of times the spinner will land on an odd number in 320 spins is approximately 320/2 = 160.
Thus,
A reasonable prediction for the number of times the spinner will land on an odd number is 160.
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Mia and Allen have been married for 3 years. They both have well-paying jobs
that allow them to live comfortably and pay their bills. They are trying to live on
a budget. They have a $1,000 emergency fund, and they are paying down $28,000
worth of combined student loan debt. Each year for the past 3 years, they have
received a large tax refund -- which they call their "celebration fund" - and use it
to take a nice vacation each summer. They are receiving a large refund, rather
than one close to zero. Why is this kind of tax refund problematic?
Receiving a large tax refund is problematic because it means overpaying taxes and missing out on the opportunity to use that money throughout the year for paying down debt, building an emergency fund, or investing.
We have,
While receiving a large tax refund each year may seem like a positive thing, it actually means that Mia and Allen are overpaying their taxes throughout the year.
This means that they are essentially giving the government an interest-free loan by allowing them to hold onto their money instead of having it available to them throughout the year to use for things like paying down debt or investing in their future.
By overpaying their taxes,
Mia and Allen are essentially missing out on the opportunity to use their money in ways that could benefit them in the long run.
Additionally, the large tax refund they receive each year may create a sense of false security, leading them to believe that they are in a better financial situation than they actually are.
Rather than receiving a large tax refund each year, it may be more beneficial for Mia and Allen to adjust their tax withholdings so that they are receiving more money in each paycheck.
This way, they can use the extra money to pay down debt, build up their emergency fund, or invest in their future, rather than giving the government an interest-free loan.
Thus,
Receiving a large tax refund is problematic because it means overpaying taxes and missing out on the opportunity to use that money throughout the year for paying down debt, building an emergency fund, or investing.
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In the figure, m<1 = (3x + 12) degrees, m<2 = (3x + 18) degrees and m<3 = (7x + 10) degrees. What is m<3 in degrees?
The measure of the angle m∠3 of the triangle is m∠3 = 150°
Given data ,
Let the triangle be represented as ΔABC
Now , the measures of the angles are
m∠1 = ( 3x + 12 )°
m∠2 = ( 3x + 18 )°
m∠3 = ( 7x + 10 )°
m∠3 = 180° - ( m∠1 + m∠2 )
Now , for a triangle , the total angles = 180°
So , m∠1 + m∠2 = m∠3
On simplifying , we get
( 3x + 12 ) + ( 3x + 18 ) = ( 7x + 10 )
6x + 30 = 7x + 10
Subtracting 6x on both sides , we get
x + 10 = 30
Subtracting 10 on both sides , we get
x = 20
m∠3 = 150°
Hence , the measure of m∠3 = 150°
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The complete question is attached below :
In the figure, m<1 = (3x + 12) degrees, m<2 = (3x + 18) degrees and m<3 = (7x + 10) degrees. What is m<3 in degrees?
Look at the scatter plot below.
Which statement is true about data?
A The data shows a strong linear association
B There is no association
C There is a nonlinear association
D There is week negative association
Answer:
there is no associstaion
Step-by-step explanation:
help pls pls pls pls pls pls pls pls
how long would it take a car going 20 mph to real 528 feet?
The time will take the car to reach it's destination is 0.005 hours
The first step is to convert 528 feet to miles
1 foot= 0.000189394 miles
528= x
cross multiply
= 528 × 0.000189394
= 0.1
Time= distance/speed
distance= 0.1 miles
speed= 20
Time= 0.1/20
= 0.005 hours
Hence it will take the car 0.005 hours to reach its destination
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Rotations : If the point (6,2) was on a figure that was rotated 180 degrees clockwise what would be the coordinates of the new point on this figure
The coordinates of the new point is (-6, -2)
What would be the coordinates of the new pointFrom the question, we have the following parameters that can be used in our computation:
Point = (6, 2)
Rule: 180 degrees rotation
The rule of 180 degrees rotation is
(x, y) = (-x -y)
Substitute the known values in the above equation, so, we have the following representation
image = (-6, -2)
Hence, the image is (-6, -2)
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q
5cm
X =
X
8cm
4cm
cm
The value of x is given as follows:
x = 2.5 cm.
What are similar triangles?Similar triangles are triangles that share these two features listed as follows:
Congruent angle measures, as both triangles have the same angle measures.Proportional side lengths, which helps us find the missing side lengths.The logic for similar triangles can be expanded for any similar polygons, as is the case for this problem.
The proportional relationship for the side lengths is given as follows:
x/5 = 4/8
Applying cross multiplication, the value of x is obtained as follows:
8x = 20
x = 2.5 cm.
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A ladder measures 6 feet. If the top of the ladder is placed 4 feet up on a wall, how many feet from the base of the wall is the bottom of the ladder?
Answer:
4.47214
Step-by-step explanation:
phuti wants to plant a rectangular patch of lawn in his garden .the sides of the rectangle measure 28,9 m and 14,2 m . he incorrectly measures it to be 29 m and 14 m and calculates the area of the rectangle to be 406 m².by how much does this area differ from the true area of the rectangle?
The real answer is 29.8x14.2= 410.38m, so it differs by 4.38m squared
convert 1324 base 5 to base 8
In conclusion 1324 base 5 = 326 base 8.
To convert the number 1324 in base 5 to base 8, you can follow these steps:
Step 1: Write the given number in expanded form with powers of 5.
1324 base 5 = 1 × 5² + 3 × 5¹ + 2 × 5⁰ + 4 × 5⁻¹
Step 2: Simplify the expression to obtain the decimal equivalent.
1324 base 5 = 25 + 15 + 2 + 0.4 = 42.4
Step 3: Convert the decimal equivalent to base 8 by successive multiplication by 8.
0.4 × 8 = 3.2 (0)
0.2 × 8 = 1.6 (1)
0.6 × 8 = 4.8 (4)
0.8 × 8 = 6.4 (6)
0.4 × 8 = 3.2 (3)
0.2 × 8 = 1.6 (1)
The integer parts obtained in order give the equivalent representation of the number in base 8.
Therefore, 1324 base 5 = 42163 base 8.
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complete question:
How can I convert the number 1324 in base 5 to its equivalent representation in base 8?
Olga Semargl's medical care bills for a recent illness were $4,620. Her major medical policy did not
cover $312 of the bill. Olga's policy had a coinsurance feature that paid 80% of all covered expenses
over a $500 deductible. What was the amount paid by the major medical policy?
The amount paid by the major medical policy is $3,046.40.
First, we need to calculate the covered expenses before the coinsurance feature comes into play. Since Olga's major medical policy did not cover $312 of the bill, the covered expenses will be:
Covered expenses = Total bill - Amount not covered
Covered expenses = $4,620 - $312
Covered expenses = $4,308
Next, we need to calculate the amount of the covered expenses that is subject to the coinsurance feature. Since Olga's policy has a $500 deductible, the covered expenses subject to coinsurance will be:
Covered expenses subject to coinsurance = Covered expenses - Deductible
Covered expenses subject to coinsurance = $4,308 - $500
Covered expenses subject to coinsurance = $3,808
The coinsurance feature pays 80% of the covered expenses subject to coinsurance, so the amount paid by the major medical policy will be:
Amount paid = Coinsurance rate x Covered expenses subject to coinsurance
Amount paid = 0.8 x $3,808
Amount paid = $3,046.40
Therefore, the amount paid by the major medical policy is $3,046.40.
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1. You decide to buy a TV set for $800 and agree to pay for it with 18 equal monthly payments at 1.5% interest per month on the unpaid balance. How much are your payments? What is the total interest paid?
The total interest paid is $58.52.
We are given that;
P = 800
r = 0.015
n = 18
Now,
We can plug in the values given in question:
EMI = 800 x 0.015 x (1+0.015) ^ 18 / { (1+0.015) ^ 18-1}
EMI = 47.64
This means that your monthly payments are $47.64.
To find the total interest paid, we can multiply the EMI by the number of months and subtract the loan amount12:
Total interest paid = EMI x n - P
Total interest paid = 47.64 x 18 - 800
Total interest paid = 58.52
Therefore, by the given interest the answer will be $58.52.
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You are given an image of a panda to create a custom shirt. The original image is 9mm tall and 16mm wide. You need to enlarge the image by a scale factor of 6. What is the new height?
The height of the image after the dilation with scale factor of 6 is given by the relation H = 54 mm
Given data ,
Let the image be an image of a panda to create a custom shirt
Now , original image is 9mm tall and 16mm wide
Let the dilation scale factor of enlargement be k = 6
So , the new image is 6 ( 9mm tall and 16mm wide )
On simplifying the equation , we get
The new image is 54 mm tall and 96 mm wide
Hence , the height of the image is 54 mm
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Solve for x.
x =
(50 POINTs will give BRAINIEST FOR EFFORT)
Answer: x=3 <W=27
Step-by-step explanation:
<Y is half of the arc XW
<Y=78/2 =39
The sum of all the angles in a triangle is 180
so add all angles ang make =180
114+39+7x+6=180 Simplify
159+7x=180 Subtract 159 from both sides
7x=21 Divide 7 to both sides
x=3
plug back in x to find <W
<W=7(3)+6
=21+6
27
if you are asked to find the value of the 100th term of a sequence, would you use the explicit formula for that sequence or the recursive formula?
An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference.
We know that,
An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference.
The explicit formula for any arithmetic series is given by the formula,
a_n = a_1 + (n-1)d
where d is the difference and a₁ is the first term of the sequence.
The major distinction between recursive and explicit formulas is that a recursive formula returns the value of a particular term depending on the preceding term, whereas an explicit formula returns the value of a given term based on its location.
When the value of the first term and the common difference is known then an explicit formula is used, while the recursive formula will be used when the value of the previous value is known and the value of the common difference is known.
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complete question:
what is the difference between the explicit formula and recursive formula for sequences when would you use one over the other