A rectangle is 18.4 cm long and 16.3 cm wide. What is a) the perimeter of this rectangle and b) the area of this rectangle?
Answers
Answer:
Perimeter = 69.4 cm
Area = 299.92 square cm
Step-by-step explanation:
Given:
length of rectangle (l) = 18.4 cm
Width of rectangle (w) = 16.3 cm
a) Perimeter of rectangle
= 2( l + w)
= 2 ( 18.4+16.3)
= 2 * 34.7
= 69.4 cm
b) Area of rectangle = lw = 18.4*16.3 = 299.92 square cm
Related Questions
toddler triplets whose names are red, green and blue each have a coat whose colour is given by their name, but they aren't clear on which coat belongs to which of them. when they go out, red chooses a coat at random among the three coats, green chooses a coat at random among the remaining two coats and blue is left to take the remaining coat. how many ways are there for exactly one of the toddler triplets to end up with their coat?
Answers
Answer:
A way for one of the toddler triplets to end up with their coat is if the other two toddler triplets each get one another coat.
making it a 33% chance of one of the toddler triplets to end up with their own coat.
100% divided by 3 = 0.33
If two triangles are similar what is true regrading the sides of the two triangles
Answers
Answer:
A triangle has 3 sides so if it has to add up all the sides it will be 6 and if u r mine-sing it will be 3 so i think the answer is 3
Step-by-step explanation:
and that is my answer to the problem se ya
Please help me!!!!!!!!!!!!!!!
Answers
Answer:0.03
Step-by-step explanation:
Answer:
Answer: 0.03Step-by-step explanation:
I hope it helps you ❤❤❤As part of a survey, 300 girls were asked to name their favorite sport. 12 of the girls named bowling as their favorite. Based upon the results, how many of the next 200 girls surveyed would you expect to choose bowling as their favorite sport?
Answers
The number of girls in the next 200 girls surveyed that would choose their favorite sport as bowling are 8 girls.
What is percentage?We must divide the value by the entire value to find the percentage, and then multiply the resulting number by 100.
Given that 300 girls were asked to name their favorite sport. 12 of the girls named bowling as their favorite.
The percentage of girls that selected the sport is thus:
12/ 300 (100) = 4%
For the next 200 girls, calculate the 4% of the number to get the number of girls who like bowling:
200 (4%) = N
N = (200)(4/100)
N = 8
Hence, the number of girls in the next 200 girls surveyed that would choose their favorite sport as bowling are 8 girls.
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Hello, happy Friday, I am just here with some geometry questions.
Please only answer this if you know the answer. If you have a comment, please add it to the comment box. Only answer the question if you can explain your answer and why you think it is accurate. Thanks, good luck!
Please explain how you got it.
Answers
Answer:
\(x=4\)
Step-by-step explanation:
By the Triangle Proportionality Theorem:
\(\displaystyle \frac{x}{12}=\frac{x+1}{15}\)
By cross-multiplication:
\(\displaystyle 12(x+1)=15(x)\)
Distribute:
\(12x+12=15x\)
Subtract 12x from both sides:
\(12=3x\)
Hence:
\(x=4\)
Answer:
4
Step-by-step explanation:
The first thing you should notice is that the triangles (the smaller one and the larger one) are similar due to angle-angle similarity (the top angle equals itself, and because the bases are parallel lines cut by a transversal, the base angle of the bigger triangle is equal to the corresponding base of the smaller triangle.
Similar triangles' corresponding sides have equal ratios to one another. That means we can set up an equation: side of smaller triangle ÷ corresponding side of larger triangle = other side of smaller triangle ÷ corresponding side of larger triangle. We plug the values given to us and can change this equation to:\(\frac{x}{x + 12} = \frac{x + 1}{x + 16}\) **
We now multiply both sides of the above equation by \((x + 12)(x + 16)\) to get: \(x(x + 16) = (x + 1)(x + 12)\)
\(x^{2} + 16x = x^{2} + 13x + 12\)
\(3x = 12\)
\(x = 4\)
That means our answer, for the value of x, is 4
** Make sure you don't say \(\frac{x}{12} = \frac{x + 1}{15}\), because those aren't the sides of the larger square.
Help me with this question no explanation needed or just give it to me
Answers
Answer:
Step-by-step explanation:
No explanation is needed because there is no question.
Answer:
you got it
Step-by-step explanation:
no explanation needed
tan(x-1) ( sin2x-2cos2x) = 2(1-2sinxcosx)
Answers
The equation is proved.
G\(`tan(x-1)(sin2x-2cos2x)=2(1-2sinxcosx)`\)
We need to prove the given equation. Solution: Using the identity \(`sin2x=2sinxcosx` and `cos2x=1-2sin^2x`\)
in the given equation, we get
\(`tan(x-1)(sin2x-2cos2x)=2(1-2sinxcosx)`⟹ `tan(x-1)(2sinxcosx-2(1-\)
\(2sin^2x))=2(1-2sinxcosx)`⟹ `tan(x-1)(4sin^2x-2)=2-4sinxcosx`⟹ `2sin(x-1)\)
\((2sin^2x-1)=2(1-2sinxcosx)`⟹ `2sin(x-1)(2sin^2x-1)=2(1-2sinxcosx)`⟹\)
\(`2sinxcos(x-1)(4sin^2x-2)=2(1-2sinxcosx)`⟹ `2sinxcos(x-1)(2sin^2x-1)=1-\)
\(sinxcosx`⟹ `2sinxcos(x-1)(2sin^2x-1)=sin^2x+cos^2x-sinxcosx`⟹\)
`\(2sinxcos(x-1)(2sin^2x-1)=(sinx-cosx)^2`⟹ `sinxcos(x-1)(2sin^2x-1)=(sinx-cosx)^2/2`\)
For `LHS`, using identity
\(`sin(90 - x) = cosx`⟹ `sinxcos(x-1)(2sin^2x-1)=(sinx-sin(91-x))^2/2`⟹\)
\(`sinxcos(x-1)(2sin^2x-1)=(-sin(x-1))^2/2`⟹ `sinxcos(x-1)(2sin^2x-1)=sin^2(x-\)
\(1)/2`⟹ `sinxcos(x-1)(4sin^2x-2)=sin^2(x-1)`⟹ `sinxcos(x-1)(2sin^2x-1)=1/2`⟹ `1/2=1/2`.\)
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Which equation represents h(x)?
The table shows three functions and their output values
for different values of x.
0 h(x) =
g(x)
х
1
2
3
3
9
27
g(x)
18
21
24
h(x)
15
12
-3
O h(x) = 0
Oh(x) = f(x) - g(x)
Oh(x) = g(x) – f(x)
Answers
Answer: -01
Step-by-step explanation:
The correct equation for represents h (x) is,
⇒ h (x) = g (x) - h (x)
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
We have to given that;
The table shows three functions and their output values for different values of x.
Now, By the table;
f (x) = 3
g (x) = 18
h (x) = 15
Hence, We can formulate;
g (x) - f (x) = 18 - 3
= 15
= h (x)
Thus, The correct equation for represents h (x) is,
⇒ h (x) = g (x) - h (x)
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4. P/E Ratios. Favorita Candy’s stock is expected to earn $2.40 per share this year. Its P/E ratio is 18. What is the stock price? (LO7-1)
Answers
Answer:
2.4*18 = $43.2
stock price is $43.2
Step-by-step explanation:
Proportionality yes or no - show work
X y
____ ____
6 -2
7 -1
8 0
9 1
Answers
No, the relationship on the table is not proportional
How to determine if the relationship is proportionalFrom the question, we have the following parameters that can be used in our computation:
x y
____ ____
6 -2
7 -1
8 0
9 1
On the table of values, we can see that:
The values of x increase by 1 i.e. 6, then 7, then 8 and finally 9 As these values of x increase by 1, the values of y increase by 1 also i.e. -2, then -1, then 0 and finally 1Using the above as a guide, we have the following:
The relationship is not a proportional relationship
This is so because it does not have a constant rate (addition of 1 to x and y does not represent proportional relationship)
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Felicia filled the bathroom sink with water. Is the amount more than
1 liter, about 1 liter, or less than 1 liter
Answers
What is the slope of the line y=3-x/8?
Answers
charges $1.25 for
gasoline plus $6.50 per hour for
mowing lawns, For she earns
$20.75, how many hours did
she work?
Answers
A television transmission tower casts a shadow 1130 feet long. The angle formed by the ground and a line from the top of the tower to the tip of the shadow is 48.3 degrees. How tall is the tower? Round your answer to the nearest foot.
Answers
The height of the television transmission tower is approximately 1298 feet.
The height of the television transmission tower, we can use trigonometry and the concept of tangent.
Let's denote the height of the tower as h.
We know the length of the shadow is 1130 feet and the angle formed by the ground and the line from the top of the tower to the tip of the shadow is 48.3 degrees.
The tangent of an angle is defined as the ratio of the opposite side to the adjacent side.
The height of the tower is the opposite side and the length of the shadow is the adjacent side.
Using the tangent function, we can set up the following equation:
tan(48.3°) = h / 1130
To solve for h, we can multiply both sides of the equation by 1130:
1130 × tan(48.3°) = h
Using a calculator, we find:
h ≈ 1130 × 1.1477
≈ 1297.601 feet
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need help with this question about amplitude
Answers
Step-by-step explanation:
the amplitude is the height of the wave.
like with sound - the further away you are, the lower the volume of the sound (as the sound volume is the indicator of the amplitude of a sound wave, or the brightness of a light is the indicator of the amplitude of a light wave).
the same for any other type of wave (like the seismic wave of an earthquake).
so, the larger the distance, normally the smaller the amplitude.
1. A new compact has a sticker price of $14500. Options add another $982. Destination charges are $592. Dealer preparation is 5% of the total price. Sales tax is 7%. Tag fee is $145. Title fee is $45. What is the total price of the vehicle?
2. The selling price of a used car is $8850. Trade in allowance is $1500. Tax is 8%. Tag fee is $130. Title fee is $35. Finance charges are 9.5% annual simple interest. What is the total price of the financed amount? What are the total finance charges? What are the monthly payments if the vehicle is financed for 3 years? What is the total deferred price of the car?
3. The total deferred price of a car is $28000. After a down payment of $2100, the monthly payments are $380. How long is the financing agreement?
4. Stanley bought a new car with a sticker price of $19200. The dealer agreed to a 6% discount. The sales tax was 8% of the selling price. The tag fee was $65, and the title fee was $45. What is the total price of the car? The interest rate is 9% for financing the car for 5 years. What is the total deferred price after all the payments were made?
5. Mark bought a truck with a sticker price of $23000 plus additional options totaling $3500. He received a 4% discount and a $1500 trade-in allowance. The tax was 7%, tag fee was $125, and title fee was $75. He bought an extended warranty for $700, which was financed into the total cost of the truck. The interest rate was 6.5% for 5 years. How much are the monthly payments?
Answers
The total price of the vehicle would be $18,192.88.
The total deferred price of the car would be $11,191.60.
The length of the financing agreement is 68 months .
The total deferred price after the payments was $19,601.84.
The monthly payments would be $516.92.
How to find the price of the vehicle ?Subtotal = Base price + Options + Destination charges
Subtotal = $14,500 + $982 + $592 = $16,074
Dealer preparation = 5% of subtotal
Dealer preparation = 0.05 x $16,074 = $803.70
Sales tax = 7% of subtotal
Sales tax = 0.07 x $16,074 = $1,125.18
Total price = Subtotal + Dealer preparation + Sales tax + Tag fee + Title fee
Total price = $16,074 + $803.70 + $1,125.18 + $145 + $45 = $18,192.88
How to find the total deferred price ?Tax = 8% of selling price = 0.08 x $8,850 = $708
Tag fee = $130
Title fee = $35
Total amount financed = Amount financed + Tax + Tag fee + Title fee = $7,350 + $708 + $130 + $35 = $8,223
Annual interest rate = 9.5%
Number of years financed = 3
Total finance charges = $8,223 x 0.095 x 3 = $2,341.595
Total financed amount = $8,223 + $2,341.595 = $10,564.595
Monthly payments = Total financed amount / (Number of years financed x 12 months) = $10,564.595 / (3 x 12) = $293.4615
Total deferred price = Selling price + Total finance charges = $8,850 + $2,341.595 = $11,191.595
How to find the length of the financing agreement ?Total deferred price = $28,000
Down payment = $2,100
Total amount financed = Total deferred price - Down payment = $28,000 - $2,100 = $25,900
Monthly payments = $380
Number of months = Total amount financed / Monthly payments = $25,900 / $380 = 68.16
The financing agreement is approximately 68 months long.
How to find the deferred price after the payments ?Sticker price = $19,200
Discount = 6% of sticker price = 0.06 x $19,200 = $1,152
Selling price = Sticker price - Discount = $19,200 - $1,152 = $18,048
Sales tax = 8% of selling price = 0.08 x $18,048 = $1,443.84
Total price = Selling price + Sales tax + Tag fee + Title fee = $18,048 + $1,443.84 + $65 + $45 = $19,601.84
How to find the monthly payments ?Using the formula for monthly payments on a loan:
P = (PV x r x (1 + r)^ n) / ((1 + r) ^ n - 1)
= ($26,515.80 x 0.005265 x (1 + 0.005265) ^ 60 ) / ((1 + 0.005265) ^ 60 - 1) = $516.92
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The product of 48 and a number n
Answers
Answer:
48n
Step-by-step explanation:
By putting them directly together, it means they are being multiplied
Hope this helps!
Answer:
48n
Step-by-step explanation:
Product is the total,
48 is our product,
N=number,
just combine them.
Final answer 48n
Jim bought a new freezer last winter. When he plugged it in at noon the temperature
inside the freezer was 21°C. That night the temperature inside the freezer was -15°C. By
how many degrees Celsius did the temperature change?
Answers
Answer:
The temperature inside the freezer dropped 36°C.
Step-by-step explanation:
You need to subtract the new temperature from the old temperature to get the difference. That's a pretty cool freezer! (Pun intended!)
I hope this helps!
adriana has already taken 11 pictures at home, and she expects to take 1 during every vacation. After 6 days of vacation , how many picures would adriana hve taken
Answers
Answer:
The answer is 17
Step-by-step explanation:
11 + 6 = 17
the perimeter of a rectangle is 36cm.If it is length is 10 cm find its breadth
Answers
Answer:
The perimeter of a rectangle is 36 cm, its breadth is 8 cm
Step-by-step explanation:
For a given rectangle
Perimeter (P) = 36 cm
length (L) = 10 cm
Now,
Perimeter (P) = 2 × (length + breadth)
P = 2 × (l + b)
36 = 2 × (10 + b)
36 = 20 + 2b
2b = 36 - 20
2b = 16
b = 16 ÷ 2
b = 8 cm
Thus, The perimeter of a rectangle is 36 cm, its breadth is 8 cm
-TheUnknownScientist
The perimeter of a rectangle is 36 cm. If its length is 10 cm, find its breadth.
Answer:-Given:-\( \bullet \) Perimeter (P) of a rectangle is 36 cm.
\( \bullet \) Length (L) of a rectangle is 10 cm.
To Find:-Breadth (B) of a rectangle.
Solution:-We know,
P = 2(L + B)
So,
36 = 2(10 + B)
36 = 20 + 2B
36 - 20 = 2B
16 = 2B
B = 16/2 = 8 cm.
Breadth (B) of a rectangle is 8 cm. [Answer]The figure shows three tennis balls in a can with each tennis ball having a diameter of 2.5 inches. What is the total volume of the air space around the three tennis balls?
Answers
The total volume of the air space of spherical ball is A = 12.265625 inches³
Given data ,
Since each tennis ball has a diameter of 2.5 inches, the radius of each ball is 1.25 inches.
The air space around the balls can be thought of as a cylinder with a height equal to the diameter of one ball and a radius equal to the radius of one ball.
The height of the cylinder is 2.5 inches, and the radius is 1.25 inches.
The formula for the volume of a cylinder is:
V = πr²h
V = ( 3.14 ) ( 1.25 )² ( 7.5 )
V = 36.796875 inches³
where V is the volume, r is the radius, and h is the height.
So, the volume of the one ball is:
V₁ = ( 4/3 )π(1.25)³
V₁ = 8.177083 inches³
The total volume of three balls is = volume of 3 spherical balls
V₂ = 3V₁ = 3(8.177083) ≈ 24.53125 cubic inches
Therefore, the total volume of the air space around the three tennis balls is approximately A = 36.796875 inches³ - 24.53125 inches³
A = 12.265625 inches³
Hence , the volume of air space is A = 12.265625 inches³
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Megan’s TV had a base price of $189 and the sales tax was 6.88%. Over the next four years, the TV consumed an average of $0.06 of electricity every day. It also needed repairs twice, costing $29 each time. After four years, Megan got a new TV. What was the lifetime cost of Megan’s TV? (Remember that one in every four years is a leap year.)
a.
$357.68
b.
$318.66
c.
$347.66
d.
$351.65
Answers
Answer:
Step-by-step explanation:
price of tv and sales tax = 1.0688×$189 = $202.0032 ≅ $202.00
4 years = 3×365 days + 366 days = 1461 days
cost of electricity = 1461 days × $0.06/day = $87.66
lifetime cost = purchase price + electricity + repairs
= $202.00 + $87.66 + 2·$29
= $347.66
Answer:
347.66 is your answer
Step-by-step explanation:
glad to help btw the answer is on edge 2021.
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answers
Answer:
5.
Step-by-step explanation:
Have you heard of something called reading?
The sector of a circle has an area of 104pi/9
square inches and a central angle with measure 65 degree
. What is the radius of the circle, in inches?
Answers
Answer:
Given:
Area of the sector (A) = 104π/9 square inches
Central angle (θ) = 65 degrees
The formula for the area of a sector of a circle is:
A = (θ/360) * π * r^2
We can rearrange this formula to solve for the radius (r):
r^2 = (A * 360) / (θ * π)
Plugging in the given values:
r^2 = (104π/9 * 360) / (65 * π)
r^2 = (104 * 40) / 9
r^2 = 4160 / 9
r^2 ≈ 462.22
Taking the square root of both sides:
r ≈ √462.22
r ≈ 21.49
Therefore, the radius of the circle is approximately 21.49 inches.
Answer: 8 inches
Step-by-step explanation:
HELP NEEDED PLEASEEE:(
Answers
Answer: b
Step-by-step explanation:
four more
+4
twice a number
n2 (we dont know the number and it’s multiplied by 2)
is
=
-10
so
n2 + 4 = -10
Answer: b.
Step-by-step explanation:
Four more than = +4
Twice a number means two times a number = 2n
“Is” is a keyword for equals, so “is -10” means = -10
Which of the following is equivalent to 7(2x+1)-2(6x+3)=15
2x+4=15
-2x+13=15
-2x+4=15
2x+1=15
Answers
Answer:
2x + 1 = 15
Step-by-step explanation:
Answer:
D or 2x+1
Step-by-step explanation:
first we have to distribute the 7 to the 2x+1
14x+7-2(6x+3)=15
now distribute the -2
14x+7-12x-6=15
combine like terms on the left side
2x+1=15
your answer would be D
hope this helps!
if you pay for $48.02 item with a $50 how much change will you get back?
Answers
Answer:
$1.98
Step-by-step explanation:
50 - 48.02 = 1.98
Answer: 2 dollars
Step-by-step explanation: i think im bad at money wait why did i even awnser lol
los estudiantes del colegio Andrés Bello estuvieron de excursión 1/3 viajaron a nuquí 2/15 viajaron al parque natural los katíos y el resto viajó al parque natural la Ensenada de utría.
¿qué número decimal presentan los estudiantes que viajaron al parque natural la Ensenada en utría?
con procedimiento.
Answers
Answer:
El número decimal que presenta los estudiantes que viajaron al parque natural la Ensenada en utría es 0.5333.
Step-by-step explanation:
La soma de todos los estudantes és 100% = 1.
Andrés Bello estuvieron de excursión 1/3 viajaron a nuquí 2/15 viajaron al parque natural los katíos y el resto viajó al parque natural la Ensenada de utría.
Isto implica que:
\(\frac{1}{3} + \frac{2}{15} + x = 1\)
Aplicando el minimo múltiplo comum, tiene-se:
\(\frac{5 + 2 + 15x}{15} = 1\)
\(7 + 15x = 15\)
\(15x = 8\)
\(x = \frac{8}{15}\)
\(x = 0.5333\)
El número decimal que presenta los estudiantes que viajaron al parque natural la Ensenada en utría es 0.5333.
Given the polynomial 9x2y6 − 25x4y8, rewrite as a product of polynomials.
(9xy3 − 25x2y4)(xy3 + x2y4)
(9xy3 − 25x2y4)(xy3 − x2y4)
(3xy3 − 5x2y4)(3xy3 + 5x2y4)
(3xy3 − 5x2y4)(3xy3 − 5x2y4)
Answers
Answer:
Option 3
(3xy³ + 5x²y⁴) (3xy³ - 5x²y⁴)
Step-by-step explanation:
Factorize polynomials:
Use exponent law:
\(\boxed{\bf a^{m*n}=(a^m)^n} \ & \\\\\boxed{\bf a^m * b^m = (a*b)^m}\)
9x²y⁶ = 3²* x² * y³*² = 3² * x² * (y³)² = (3xy³)²
25x⁴y⁸ = 5² * x²*² * y⁴*² = 5² * (x²)² * (y⁴)² = (5x²y⁴)²
Now use the identity: a² - b² = (a +b) (a -b)
Here, a = 3xy³ & b = 5x²y⁴
9x²y⁶ - 25x⁴y⁸ = 3²x²(y³)² - 5²(x²)² (y⁴)²
= (3xy³)² - (5x²y⁴)²
= (3xy³ + 5x²y⁴) (3xy³ - 5x²y⁴)
if the earthquake has stronger magnitude what does it mean
Answers
Answer:
Step-by-step explanation:
The magnitude of an earthquake is a measure of the amount of energy released during the earthquake. A stronger magnitude generally means a more powerful earthquake.