Answers
Answer:
Area = x² + 10x + 21
Step-by-step explanation:
Area = L * W
Length = (x + 7)
Width = (x + 3)
=> Area = (x + 7) * (x + 3)
=> Area = x² + 3x + 7x + 21
Combining like terms would result in;
=> Area = x² + 10x + 21
Hope this helps!
Related Questions
An insurance company has provided you with a sample of paid claims. The sample includes the following claims: 192, 113, 200, 287, and 225. What are the mean and the variance respectively of this sample rounded to nearest whole number
Answers
Answer:
The mean of this sample is 203.
The variance of this sample is 3154.
Step-by-step explanation:
Mean:
Sum of all values divided by the number of values.
In this case:
[tex]M = \frac{192 + 113 + 200 + 287 + 225}{5} = 203.4[/tex]
Rounding to the nearest whole number, 203.
Variance:
Sum of the difference squared between each value and the mean, divided by the number of values. So
[tex]V = \frac{(192-203.4)^2 + (113-203.4)^2 + (200-203.4)^2 + (287-203.4)^2 + (225-203.4)^2}{5} = 3153.8[/tex]
Rounding to the nearest whole number, 3154.
The mean of this sample is 203. The variance is 3154.
The variance of this sample is 3154.
Mean is given by,
[tex]M=\frac{192+113+200+287+225}{5}[/tex]
M=203.4
Sum of all values divided by the number of values.
In this case:
[tex]M=\frac{192+113+200+287+225}{5}\\M=203.4[/tex]
Rounding to the nearest whole number, 203.
What is the variance?Some of the differences squared between each value and the mean are divided by the number of values. So
[tex]V=\frac{(102-203.4)^2+(113-203.4)^2+.......+(225-203.4)^2}{5}\\V=3153.8[/tex]
Rounding to the nearest whole number, 3154.
To learn more about the variance visit:
https://brainly.com/question/25639778
#SPJ5
Soo I need you guys help
Answers
Ummmmmm ok hold on let me see
Answer:
Josh made 40 free throws.
Step-by-step explanation:
5/7=0.71428571428
0.71428571428*56 = 39.99
so Josh made 40 free throws.
Have a nice day! :-)
Katherine is 17 years younger than Joe. If Joe is 44 years old, how old is Katherine?
_____years old
Answers
Answer:
Katherine is 27 years old.
Step-by-step explanation:
44-17=27.
Answer:
27
Step-by-step explanation:
44 age of Joe
-17 years younger
______________
27 years of age
Annabelle works in a deli and has been tracking the daily sales of different items over several months. Anabelle found that when there was an increase in the number of cups of hot chocolate sold, the number of cups of coffee sold also increased similarly, when there was a decrease in the number of cups of hot chocolate sold, the number of cups of coffee also decreased
Answers
Answer:
When hot chocolate sales increase, so do coffee sales, but the sale of one does not increase the other. There were just more customers that day.
Step-by-step explanation:
Question 1
12.5 pts
1. A triangular prism is shown below. What is the volume of the triangular prism in
cubic inches?
15cm
112cm
9cm
12cm
ОА.
1,296 cm
OB.
180 cm
O C.
1,620 cm3
OD.
648 cm3
Question 2
willgive brainlest
Answers
Answer:
The volume of the triangular prism = 648 cm³
Step-by-step explanation:
Check the image uploaded for the diagram of the prism.
Given;
hypothenuse side of the triangle, = 15 cm
base of the triangle, b = 12 cm
height of the triangle, h = 9 cm
height of the prism, I = 12 cm
The volume of the triangular prism = Area of the base triangle x height of the prism
The volume of the triangular prism = ¹/₂ x b x h x I
The volume of the triangular prism = ¹/₂ x 12 x 9 x 12
The volume of the triangular prism = 648 cm³
HELP PLISS
Which Trig ratio should be used to find the missing side?
A.Sin
B.Cos
C.Tan
Answers
Answer:
It's Cos.
Hope this helps
Tina wrote 2 equivalent expressions that could be used to calculate the number of books on her shelves. Which pair of expressions is equivalent?
4+(9+8) and 4−(9−8)
3(9+8) and 9(3+8)
(4×9)×8 and 9×(4×8)
(5+4)+1 and 5(4+1)
Answers
Answer:b
Step-by-step explanation:
Not D
Answer:
(4×9)×8 and 9×(4×8)
Step-by-step explanation:
Victoria took a test and got 80% of the questions right. She answered 20 questions correctly. How many questions were on the test?
Answers
Answer:
25 questions :D
Step-by-step explanation:
BEST ANSWER GETS BRAINLIEST!!!
Given the following system of equations and its graph below, what can be determined about the slopes and y-intercepts of the system of equations?
5x + 2y = 2
3x − 3y = 18
The slopes are the same, and the y-intercepts are the same.
The slopes are the same, and the y-intercepts are different.
The slopes are different, and the y-intercepts are the same.
The slopes are different, and the y-intercepts are different.
Answers
Answer:
option 4
Step-by-step explanation:
[tex]5x + 2y = 2\\2y = -5x + 2\\y = -\frac{5}{2}x + 1\\\\Slope = -\frac{5}{2}, \ y - intercept = 1[/tex]
[tex]3x - 3y = 18\\3y = 3x - 18\\y = x - 6\\\\Slope = 1, \ y - intercept = -6[/tex]
Find the value of x to the nearest tenth. Please help fast
Answers
Answer:
14.72
Step-by-step explanation:
Answer:
14.7
Step-by-step explanation:
we can use the law of sines to find x.
sin46°/x=sin20°/7
x sin20° = 7(sin46°)
x=7(sin46°)/sin20°
x≈14.72246211
rounded to the nearest tenth:
x≈14.7
Natalie bought 4 large drinks and 4 large bags of popcorn. Each bag of popcorn cost $4.00 each and she spent $26. How much was each large drink?
WRITE AN EQUATION
HELP ASAP WILL MARK BRAINLEST
Answers
Answer:The drinks are $2.50 each
Step-by-step explanation:$4.00 x 4 = $16.00 then do $26 - $16 = 10 and 10 divided by 4 = 2.5
The temperature at 12 p.m. wa
34. The temperature at 12 a m
was-16. What was the difference
in the temperatures?
An elevator was at the 4floor
It traveled up 18 floors, down 7
floors, up 6 floors and down 2
floors. What floor did the elevator
end up on?
submarine was traveling at 62
feet below sea level. It rose 17
feet, dropped 250 feet, then rose 25
feet. What was the submarines
Final position?
Answers
Answer:
first is 52°C
Step-by-step explanation:
320% of 69 is what number?
Answers
Answer:
220.8
Step-by-step explanation:
I believe 220.8
sorry if I am wrong.
Answer:
320×69÷100
answer * number is 220
What is the slope of the line that passes through the points (-2, 3) (−2,3) and (-14, -5) ?(−14,−5)? Write your answer in simplest form.
Answers
Answer:
2/3
Step-by-step explanation:
the steps are in the pic above
Which expression is positive
Answers
Answer:
I would say none of the above
Step-by-step explanation:
When you evaluate A & B they both give you negatives So C
Good luck on Khan academy ;)
Answer:
the answer should be C
Step-by-step explanation:
the first two questions both come out to negative numbers so the only option would be the third.
please help need asap
Answers
Answer:
[tex] \displaystyle AC = 2.18[/tex]
Step-by-step explanation:
we are given a right angle triangle where:
BC=6AC=?θ=70°since BC is the opposite side and AC is is the adjacent side of the triangle therefore we can consider using tan function given by
[tex] \displaystyle \tan( \theta) = \frac{opp}{adj} [/tex]
substitute:
[tex] \displaystyle \tan( {70}^{ \circ} ) = \frac{6}{AC} [/tex]
cross multiplication:
[tex] \displaystyle AC \tan( {70}^{ \circ} ) = 6[/tex]
b
divide both sides by tan(70°):
[tex] \displaystyle AC = \frac{6}{ \tan( {70}^{ \circ} ) }[/tex]
by using calculator we obtain:
[tex] \displaystyle AC = 2.18[/tex]
and we are done!
please no link! need question answered as soon as possible
Answers
[tex]\huge\bold{Given :}[/tex]
Angle 1 = 40°
Angle 2 = x°
Angle 3 = ( x + 28 )°
[tex]\huge\bold{To\:find :}[/tex]
The value of x.
[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]
[tex]{\boxed{\mathcal{\purple{The\:value\:of\: x \:is\:56 ° .\:}}}}[/tex]✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
We know that,
[tex]\sf\pink{Sum\:of\:angles\:of\:a\:triangle\:=\:180°}[/tex]
➪ ∠ 1 + ∠ 2 + ∠ 3 = 180°
➪ 40 + x° + x° + 28° = 180°
➪ 2x° + 68° = 180°
➪ 2x° = 180° - 68°
➪ x° = [tex] \frac{112° }{2} [/tex]
➪ x° = 56°
[tex]\sf\red{Therefore, \:the\: value \:of \:x\: is \:56°.}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]
∠ 1 + ∠ 2 + ∠ 3 = 180°
✒ 40° + 56° + 56° + 28° = 180°
✒ 180° = 180°
✒ L. H. S. = R. H. S.
[tex]\boxed{Hence\:verified.}[/tex]
[tex]\bold{ \green{ \star{ \orange{Hope\:it\:helps.}}}}⋆[/tex]
The triangular prism has a square base face of 8 cm. The perpendicular height from
the square base face is 15 cm. The surface area in square centimetres is
15 cm
8 cm
B.
248
264
A
384
C 324
Answers
convert 495.05 to fraction
Answers
Answer:
495 1/20
Step-by-step explanation:
Answer:
[tex]495.05 = \frac{49505}{100} = \frac{9901}{20}[/tex]
work out the area of this circle
Take pi to be 3. 142 and give
your answer
to be 2
decimal places..
11, 2cm
Answers
Answer:
11.2 cm i think so ya yo write 11.2cm
if y+1/y=5 then show that (y^3+1/y^3)=110
Answers
A line passes through the point (8,6) and has a slope of - 3. Write the equation of the line in point-slope form,
4
Answers
substitute the x- and y-values into the equation
(8,6)
8 is x-value and 6 is y-value
6=m(8)+b
slipe is given, it's -3 so substitute that into the equation as well
6=3(8)+b
6=24+b
substract 24 from both sides
-18=b
equation: y=3x-18
The table shows the balance of a money market account over time. Write a function that represents the balance y (in dollars) after t years.
Answers
9514 1404 393
Answer:
y = 2200(1.08^t)
Step-by-step explanation:
The interest earned the first year is ...
(2376 -2200)/2200 = 0.08 = 8%
The balances the remaining years are consistent with that interest being compounded annually. An appropriate function is ...
y = 2200(1.08^t)
_____
The compound interest formula is ...
A = P(1 +r/n)^(nt) . . . . principal P earning rate r compounded n times per year for t years
One bag contains 6 red, 2 blue, and 3 yellow balls. A second bag contains 2 red, 4 blue, and 5 yellow balls. A third bag contains 3 red, 7 blue, and 1 yellow ball. One bag is selected at random. If 1 ball is drawn from the selected bag, what is the probability that the ball drawn is yellow?
Answers
Answer:
2 is the probability
Step-by-step explanation:
When testing joint hypothesis, you can use: Group of answer choices the F- statistic. the chi-squared statistic. either the F-statistic or the chi-square statistic. none of the above. g
Answers
Answer:
F Statistics
Step-by-step explanation:
In a joint hypothesis, the researcher is interested to determine the significance of each independent variable individually as well joint impact of all independent variable on the dependent variable. Hence, F statistics would be used as researcher would be interested to know about the the significance of all the independent variable jointly
An owner wants to discount his pizza from $15 to $14.25, how much percent does he need to discount?
Answers
Answer:
5%
Step-by-step explanation:
Amount of money that is discounted
= $15 - $14.25
$0.75
Percentage that needed to be discount
=(0.75/15) * 100%
= 5%
Thus, owner needs to discount 5% to discount his pizza from $15 to $14.25.
Emiko makes shibori scarves and sells them for 48 each on a website for hand made goods the expression 48s represents the total price of buying s scarves.
Answers
Answer:
Step-by-step explanation:
true
1. number of scarves
2. price per scarf
Step-by-step explanation:
Help please just write the ratio like #1 300: ?
Answers
2) 25:31
3) 9:21 = 3:7
4) 5:21
5) 5:13
6) 15:14
Last year, a French restaurant used 792,800 ounces of cream. This year, due to a menu
update, the restaurant used 673,880 ounces of cream. By what percentage did the
restaurant's annual cream usage decrease?
Answers
In a random sample of 60 shoppers 12 said that they only buy products that are on sale. If there are 3000 shoppers at the mall today about how many would you predict only buy items on sale?
Answers
Answer:
Number of shopper buy from sale [3,000shopper] = 600 (Approx.)
Step-by-step explanation:
Given:
Number of shopper in mall = 60
Number of shopper buy from sale = 12
Find:
Number of shopper buy from sale if total number number of shopper are 3,000
Computation:
Number of shopper buy from sale [3,000shopper] = 3000[Number of shopper buy from sale/Number of shopper in mall]
Number of shopper buy from sale [3,000shopper] = 3000[12 / 60]
Number of shopper buy from sale [3,000shopper] = 3000[1/5]
Number of shopper buy from sale [3,000shopper] = 600 (Approx.)