Answer:
2l+2w, 60+60+30+30
Step-by-step explanation:
2(length)+2(width)
The perimeter of the ballroom will be represented by 2l+2w, and 2( 60 + 30 ).
What is a perimeter?The perimeter of a closed shape is the overall length of the boundary. As a result, the perimeter of that shape is determined by adding up all of its sides. Therefore, Perimeter(P) = Sum of All Sides is the perimeter formula.
A quadrilateral with four right angles is a rectangle. As all of its angles are equal, it can alternatively be described as an equiangular quadrilateral or a parallelogram with a right angle.
Given that a ballroom is 60 ft long and 30 ft wide. The equation for the perimeter of the ballroom will be calculated as:-
Perimeter = 2 ( l + w)
Perimeter = 2 ( 60 + 30 )
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Which led to the formation of oceans after water on Earth’s surface evaporated?
Answer:
The sun released a strong burst of water vapor. As Earth cooled, water in the atmosphere condensed. Materials collided due to strong gravitational forces. The ozone layer formed to protect against harmful UV ray exposure
Step-by-step explanation:
Answer:
As Earth cooled, water in the atmosphere condensed
Step-by-step explanation:
dues to high temps, water evaporated.
as the earth's surface cooled, water condensed and formed oceans
rocks hardened to form continents
sun^4A+sin^2Acos^2A=sin^2A
Step-by-step explanation:
sin⁴A + sin²Acos²A = sin²A
Proving the left hand side ( LHS)
That's
sin⁴A can be written as ( sin²A)(sin ²A)
So we have
( sin²A)(sin ²A) + sin²Acos²A
Next factor sin²A out
That's
sin²A ( sin²A + cos²A)
Using trigonometric identities
That's
sin²A + cos²A = 1Simplify the expression
That's
sin²A × 1
We have the final answer as
sin²AAs proven
Hope this helps you
1. You want to purchase a car that costs $25,000. You must pay a 10% down payment. How much is this?
Answer: 2,500
2. What do you still owe?
Answer: 22,500
3. Determine the monthly payment for 60 months with an APR of 5.5%. Round to the nearest cent.
Answer: 22,500(0.055/12)/(1-(1+0.055/12)^(-60)= 429.78 rounded to the nearest cent.
4. How much do you pay all together at the end of the 60 months including the down payment and interest charges?
I need help with number 4. Please.
Answer: If interest is not given, it would be 25,000+ interest as your answer
Step-by-step explanation:
when examining distributions of numerical data, what three components should you look for
Answer:
The three components you should look for when examining distributions of numerical data are Shape, center, and spread
-Source(I took AP statistics in senior year of high school and passed the AP test)
The three components for examining distributions of numerical data are Shape, centre, and spread.
What is distribution of data?
A normal distribution is a common probability distribution. It has a shape often referred to as a "bell curve." Many everyday data sets typically follow a normal distribution: for example, the heights of adult humans, the scores on a test given to a large class, errors in measurements.
When examining the distribution of a quantitative variable, one should describe the overall pattern of the data (shape, centre, spread), and any deviations from the pattern (outliers). When describing the shape of a distribution, one should consider: Symmetry/skewness of the distribution Peakedness (modality) - the number of peaks (modes) the distribution has. Not all distributions have a simple, recognizable shape. Outliers are data points that fall outside the overall pattern of the distribution. It is always important to interpret the features of the distribution (as they appear in the histogram) mean in the context of the data.
Hence, The three components for examining distributions of numerical data are Shape, centre, and spread.
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3(x-5) – 1/2(10x + 10) I don’t understand and I need the answers
Answer:3x-15-5x-5
-2x-20
Step-by-step explanation:
Answer:
-2x-20
Step-by-step explanation:
Expand 3(x-5) : 3x-15
Do not forget there is a subtraction sign in the middle.
Expand 1/2(10x+10) : 5x+5 : 5(x+1)
= 3x - 15 - 5(x+1)
Expand -5(x+1) : -5x-5
= 3x-15 - 5x - 5
Simplify 3x-15-5x-5 by adding like terms: -2x-20
= -2x-20
Evaluate the expression and enter your answer in the box below.
-7 • (5+ 3) +216 ➗ 4
Answer:
= -2
-7(5+3)+216/4
-7(8)+216/4
-56+54
= -2
What is the lcm of 12 and 3
Answer:
LCM of 12 and 3 is 12
Step-by-step explanation:
hope it helps you vhprince
A cylinder has a volume of 320x cubic inches and a height of 5 inches.
What is the radius of the cylinder?
Answer: 8 inches
Step-by-step explanation:
320π in³= π (r²) (5 in)
64 in² = r²
r = 8 in
Evaluate the expression and enter your answer in the box below.
[(8 + 10) /3] +3 • (7-3)
Answer:
38.6
Step-by-step explanation:
Which set of ordered pairs represents a function?
o {(5,-2), (-5,2), (-5, -4),(4, -5)}
{(9,6),(-1,7), (9,–7), (4,7)}
o {(-1,0),(-8, 9), (7,0), (1,3)}
{(8,6), (8, –4), (-7, -2),(-1, —8)}
Answer:
{(-1,0),(-8, 9), (7,0), (1,3)}
Step-by-step explanation:
number 3 is the only one with no colliding outputs.
Find the nth term of the sequence:
23, 19, 13, 5, -5.......
Answer:
Step-by-step explanation:
Given the sequence :
23, 19, 13, 5, -5.......
From the sequence, the common difference is unequal, as their is a constant Increment in the difference after successive numbers.
19 - 23 = -4
13 - 19 = -6
5 - 13 = -8
-5 - 5= -10
Hence an constant difference of - 2 after each successive difference.
Hence, this is a quadratic sequence
With the formula
an² + bn + c
What is 456,345,698,746 ft in cm?
Answer:
13909416897778.08 cm
Step-by-step explanation:
Answer:
13909416897778.08 cm
Step-by-step explanation:
Question 4: The following data give the numbers of computer keyboards assembled at the Twentieth Century Electronics Company for a sample of 25 days.
76 61 74 62 73 63 73 64 72 64
72 65 72 66 71 66 71 67 70 67
70 68 69 68 68
Determine the (approx) value of the 53rd percentile Round answer to nearest integer:
Answer:
69
Step-by-step explanation:
Since there are 25 values, then n=25.
Now, calculate the index:
i=p/100n=53/100⋅25=53/4.
Since the index i is not an integer, round up: i=14
The percentile is at the position i=14. So, the percentile is 69.
Question 2 : There are 40 students in Mrs. Jackson's class, and
1/4 of the class has their own cell phone. Of this group of
students, 1/2 of them are allowed to use social media. How many
of the students have a cell phone and can use social media?
Answer:
5
Step-by-step explanation:
First find the number that have their own cell phone
1/4 * 40 = 10
There are 10 students with their own cell phone
1/2 of the 10 can use social media
1/2 * 10 =5
5 have their own cell phone and can use social media
Answer: 10 students have a cell phone and only 5 of them can use social media
Step-by-step explanation: We see there are 40 students in total and 1/4 OF the class have their own cell phone. The OF means multiplacation so we do 40 X 1/4 which is 10 students who have their cellphone. We then again see 1/2 OF the 10 students can use social media meaning we do 10 X 1/2 which is equal to 5 students out of the 10 can use social media.
Find a ratio that is equivalent to 9 to 15
The required equivalent ratio of the given ratio is 3/5.
Given that,
The ratio that is equivalent to 9 to 15 is to be determined.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
What is the Ratio?The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.
Here,
Mentioned ration,
= 9 / 15
Reducing the expression by eliminating the common factors
= 3 / 5
Thus, the required equivalent ratio of the given ratio is 3/5.
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what is an interest rate
Answer:
An interest rate is the amount of interest due per period, as a proportion of the amount lent, deposited or borrowed
Solve for the missing angle?
A) 32*
B)44*
C)61*
D)50*
Answer:
using question mark as reference angle
Base = 13
hypotenuse = 18
usimg trigonometric ratios
cos? = B/h
? = inverse(13/18) = 43.74 = 44°
Step-by-step explanation:
Here, we are given with two sides and the triangle is a right angled triangle. Here, we can use trigonometry to find the missing angle.
Note: Always remember that the perpendicular, base and hypotenuse changes with the reference angle.According to missing angle, cos theta can be used because we are given with base and hypotenuse. No need to find the perpendicular.
[tex] \cos( \theta) = \frac{base}{hypotenuse} \\ [/tex]
[tex] \cos( \theta) = \frac{13}{18} [/tex]
Now for finding the missing angle theta, inverse of cosine will be applied on the other side. Because, inverse of multiplication is division.
[tex] \theta = \cos {}^{ - 1} ( \frac{13}{18} ) [/tex]
[tex] \theta = \cos {}^{ - 1} (0.7222222222) [/tex]
[tex] \boxed{ \theta \approx \: 43.76174269 \degree}[/tex]
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A washer and a dryer cost $857 combined. The washer costs $93 less than the dryer. What is the cost of the dryer?
Answer:
Dryer cost $475; Washer cost $382
Step-by-step explanation:
For this problem, we will simply set up a system of equations to find the value of each the washer (variable x) and the dryer (variable y).
We are given the washer and dryer cost $857 together.
x + y = 857
We are also given that the washer cost $93 less than the dryer.
x = y - 93
So to find the cost of the dryer, we simply need to find the value of y.
x + y = 857
x = y - 93
( y - 93 ) + y = 857
2y - 93 = 857
2y = 950
y = 475
So now we have the value of the dry to be $475. We can check this by simply plugging in the value and see if it makes sense.
x + y = 857
x + 475 = 857
x = 382
And check this value:
x = y - 93
382 ?= 475 - 93
382 == 382
Therefore, we have found the values of both the washer and the dryer.
Cheers.
The cost of the dryer is $475 and the cost of the washer is $382.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given that, a washer and a dryer cost $857 combined.
Let the cost of dryer be x.
The washer costs $93 less than the dryer.
Then, the cost of washer will be x-93
So, x+x-93=857
2x=857+93
2x=950
x=$475
x-93=475-93
= $382
Hence, the cost of the dryer is $475.
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Wich is equivalent to 12(3 2/3)!?
Answer:
1/5 = 2/10 = 3/15 = 4/20
= 5/25 = 6/30 = 7/35 = 8/40
= 9/45 = 10/50 = 11/55 = 12/60
= 13/65 = 14/70 = 15/75 = 16/80
= 17/85 = 18/90 = 19/95 = 20/100
= 21/105 = 22/110 = 23/115 = 24/120
= 25/125 = 26/130 = 27/135 = 28/140
= 29/145 = 30/150 = 31/155 = 32/160
= 33/165 = 34/170 = 35/175 = 36/180
= 37/185 = 38/190 = 39/195 = 40/200
= 41/205 = 42/210 = 43/215 = 44/220
= 45/225 = 46/230 = 47/235 = 48/240
= 49/245 = 50/250 = 51/255 = 52/260
= 53/265 = 54/270 = 55/275 = 56/280
= 57/285 = 58/290 = 59/295 = 60/300
= 61/305 = 62/310 = 63/315 = 64/320
= 65/325 = 66/330 = 67/335 = 68/340
= 69/345 = 70/350 = 71/355 = 72/360
= 73/365 = 74/370 = 75/375 = 76/380
= 77/385 = 78/390 = 79/395 = 80/400
= 81/405 = 82/410 = 83/415 = 84/420
= 85/425 = 86/430 = 87/435 = 88/440
= 89/445 = 90/450 = 91/455 = 92/460
= 93/465 = 94/470 = 95/475 = 96/480
= 97/485 = 98/490 = 99/495 = 100/500
Step-by-step explanation:
all of these are equivalent
Answer: 36/11 Or 3 3/11
Step-by-step explanation:
which answer is right?
Answer: D
Step-by-step explanation:
Since we know that the area of the square is 900 in², we can use that to find the length of each side.
900=x² [square root both sides]
x=30
Now that we know each side is 30 in, we know that the diameter of the circle is also 30 in. To find the radius, divide the diameter by 2.
2r=30 [divide both sides by 2]
r=15
With the radius, we can find the area of the circle.
A=π(15)² [exponent]
A=225π
Since the problem said to leave in terms of π, the area is A=225π in².
make 2 2/5% a fraction in simplest form
Answer: 3/125
Step-by-step explanation:
Answer:
24/1000
Step-by-step explanation:
Step 1:
2 2/5% = 2.4%
Step 2:
2.4% = 0.024
Step 3:
0.024 = 24/1000
Answer:
24/1000
Hope This Helps :)
Solve for all possible values of x.
Vx+7-11=2
Ox= 6
O x = 20
Ox= 162
Ox = 169
Solve equation t+26=25
Answer:
t+26=25
t= 26-25 = 1
Step-by-step explanation:
The sum of the ages of Caleb and Linda is 55 years. 8 years ago, Caleb's age was 2 times Linda's age. How old is Caleb now?
Answer:
34
Step-by-step explanation:
1. if to guess the Caleb's age is 'x' years and Linda's age is 'y' years now, then
2. according to the 'sum of the ages of Caleb and Linda is 55 years' it may be written: x+y=55 - the first equation of the system;
3. according to the condition '8 years ago, Caleb's age was 2 times Linda's age' it may be written: (x-8)(y-8)=2 - the second equation of the system;
4. if to make up the system of two equation and calculate the values of 'x' and 'y':
5. if x=34, then Caleb is 34 old now.
calculate 188 meters___________Yards
Answer:
205.599
Step-by-step explanation:
Answer:
205.599 yards
Step-by-step explanation:
1 meter = 1.09361 yards
Multiply 188 meters by 1.09361 yards
188 meters = (1.09361 yards) x (188 meters)
= 205.599 yards
-4 1/2 divided by (-2 2/3
Answer:
1 11/16
Step-by-step explanation:
Answer:
1 11/16
Step-by-step explanation:
Convert mixed numbers into improper fractions:
-4 1/2
Step 1: whole number x denominator + numerator
-4 x 2 + 1 = -9
Step 2: write that number over your original denominator
-9/2
Step 3: repeat for other fraction
-2 2/3
-2 x 3 + 2 = -8
-8/3
Step 4: copy, dot, flip
-9/2 × -3/8
Step 5: solve
27/16
Step 6: convert back to mixed number
1 11/16
*note* Negative x negative = positive
x = - 4y + 37x + 3y = 29 pls help i need this grade!!!!!!!!
please help me fr tho
Answer: y=2x+1
Step-by-step explanation:
To solve for y, we want to use our algebraic properties to isolate y.
16x+9=9y-2x [add both sides by 2x]
18x+9=9y [divide both sides by 9, divide to each term]
2x+1=y
Now, we know that y=2x+1.
Answer:
no thx and thx for the points
Step-by-step explanation:
(7)/(9)-2n+(1)/(9) please helpppppp
Answer:
-2n + 8/9
Step-by-step explanation:
Try that tell me I it don't work
Write Three and eight thousandths in standard form? What is it
Thousandths is the 3rd decimal place
The answer is 3.008