Answer:
3 ft, 144 ft³Step-by-step explanation:
Find the width as below
l² + w² + h² = d², where l- length, w- width, h- height, d- the distance between top and bottom cornersSubstitute the values and solve for w
4² + w² + 12² = 13²w² + 160 = 169w² = 9w = 3 feetNow find the volume
V = lwhV = 4*3*12 = 144 ft³Answer:
width = 3ft
volume = 144 ft³
Step-by-step explanation:
Pythagoras Theorem
[tex]\sf a^2+b^2=c^2[/tex]
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
The diagonal of the base of the aquarium, its height, and the length from the top corner to the opposite bottom corner forms a right triangle. As we know two of the lengths, we can use Pythagoras Theorem to calculate the unknown length (diagonal of base).
Given:
a = height of aquarium = 12 ftb = diagonal of basec = top corner to opposite corner = 13 ft[tex]\implies \sf 12^2+b^2=13^2[/tex]
[tex]\implies \sf b=\sqrt{13^2-12^2}[/tex]
[tex]\implies \sf b=5[/tex]
Now we know the length of the diagonal of the base, we can again use Pythagoras Theorem to find the width of the aquarium.
Given:
a = length of aquarium = 4 ftb = width of aquarium c = diagonal of base = 5 ft[tex]\sf \implies 4^2+b^2=5^2[/tex]
[tex]\sf \implies b=\sqrt{5^2-4^2}[/tex]
[tex]\sf \implies b=3[/tex]
Therefore, the width of the aquarium is 3 ft.
As the aquarium is modeled as a rectangular prism:
[tex]\begin{aligned}\textsf{Volume of a rectangular prism} & = \sf width \times length \times height\\ \implies \textsf{Volume of aquarium} & = \sf 3\:ft \times 4\:ft \times 12\:ft\\& = \sf 144 \:\:ft^3\end{aligned}[/tex]
James buys 7 baseballs and 1 bat.
• Each baseball costs the same amount.
• The bat costs $42.00.
• The total cost is $66.50, before tax.
What is the cost of each baseball?
$3.50
$6.00
$9.50
$15.50
The cost of each baseball is $3.50, option A is correct.
Given that the Number of baseballs are 7.
Cost of the bat = $42.00
Total cost before tax = $66.50
The total cost of the baseballs can be calculated by multiplying the cost of each baseball by the number of baseballs:
Total cost of baseballs = 7 × x
The total cost of all items, including the baseballs and the bat, is the sum of the individual costs:
Total cost = Total cost of baseballs + Cost of the bat
$66.50 = 7x + $42.00
We need to solve this equation for x.
Subtracting $42.00 from both sides:
$66.50 - $42.00 = 7x
$24.50 = 7x
Dividing both sides by 7:
$24.50 / 7 = x
x = $3.50
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ2
0.046×0.3
Show your work
Select the reason that best supports Statement 6 in the given proof.
Answer: D. Subtraction property of equality
Step-by-step explanation:
They are subtracting 6 from both sides of the equality.
Bradley bought 8 quarts of lemonade. How many cups did Bradley buy?
Answer: 32 cups
Step-by-step explanation:
1 quart: 4cups
8 x 4 : 36 cups
Bobby says, “when you multiply two numbers, the product is greater than both factors “ Bobby’s claim is not always true select the two multiplication expressions that show Bobby’s claim is not always true
Answer:
0*1=0 7*1 basically anything multiplied by 0 or 1 will not be greater than both factors
Step-by-step explanation:
Based on how I do not know the options I am going to say what I believe you might have as options for example, anything multiplied by 0 is less than and anything multiplied by 1 is not greater it is equal to.
For tanisha's lemonade recipe, 14 lemons are required to make 7 cups of lemonade. at what rate are lemons being used in lemons per cup of lemonade?
In a spot check of cartons of eggs, Matilda found that 6 out of 200 eggs were cracked.
If the store has 3,000 eggs for sale, how many can expect to be cracked?
pls help with math it is due soon
Answer:
x = 25
Step-by-step explanation:
- Use trigonometric ratios to solve for x
Cos(45) = x / (25×(2^0.5))
x = (Cos(45)) × (25×(2^0.5))
x = 25
Select the correct answer. what makes mobile banking somewhat less secure than regular online banking? a. mobile banking apps are inherently less secure than banking programs on a computer. b. mobile devices can be lost or stolen more easily than a computer, such as a laptop. c. information entered into a mobile device can be accessed by other users on the same network. d. unlike with computers, mobile banking apps store personal financial information and share it with other apps.
The reason that makes mobile banking somewhat less secure than regular online banking is given by: Option B: Mobile devices can be lost or stolen more easily than a computer, such as a laptop.
Mobile banking is doing transaction and bank related works through mobile apps.
Online banking refers to internet banking, usually done through websites of banks. Usually, user uses this type of banking in desktops, rather than mobiles as for mobiles, there are apps already available which are more convenient than websites.
Option A is not correct as there is almost same security for both types of banking.
Option C is not correct as this third party information access can be done for both mobile and online banking if the security is weak, else none of them will be affected.
Option D: Mostly, banking apps do not store crucial informations in memory, and if they do so,then they are protected and no other app can use it., so this option is incorrect.
Option B is somewhat correct as mobiles can be lost or stolen easily. The hacker can then use that device to steal the data if the security is weak. But, even if the security is tight, the situation when your mobile with banking information is in hands of an unethical hacker is somewhat risky.
Thus, the reason that makes mobile banking somewhat less secure than regular online banking is given by: Option B: Mobile devices can be lost or stolen more easily than a computer, such as a laptop.
Learn more about online banking versus mobile banking here:
https://brainly.com/question/14733614
9. The value of U.S. postage stamps increases -5% per year. The current price is 55€. Estimate what the price will be in 20 years
[tex]\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &\$0.55\\ r=rate\to 5\%\to \frac{5}{100}\dotfill &0.05\\ t=years\dotfill &20\\ \end{cases} \\\\\\ A=0.55(1 + 0.05)^{20}\implies A=0.55(1.05)^{20}\implies A\approx 1.46[/tex]
The population of the high school increases by 10% each year what would B= in the form of y=a(b)^x
[tex]\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &a\\ r=rate\to 10\%\to \frac{10}{100}\dotfill &0.10\\ t=\textit{elapsed time}\dotfill &x\\ \end{cases} \\\\\\ A=a(1 + 0.10)^{x}\implies A=a(1.1)^x~\hfill \boxed{y=a(1.1)^x}[/tex]
A movie theater is open x hours Monday through Thursday and y hours Friday through Sunday. Write an algebraic expression that represents the number of hours per week the theater is open
Answer: 4×+3y
Step-by-step explanation:
1. There are 4 days from Mon to Thurs. Since x hours are opened on each of the 4 days, we get 4x.
2. There are 3 days from Fri to Sun. Since y hours are opened on each of the 3 days, we get 3y.
In a week, it will just be the sum of 1 and 2, which is 4x+3y
Jon invests $4,100 into an account that pays 5 percent simple interest each year. What is the total balance in the account after 3 years?
$615.00
$3,485.00
$4,305.00
$4,715.00
what is 5% off 4,100?
once you get that number you should have it..
hi there :>
your answer is $4,715.00
have an amazing day <3
(please tell me if this is incorrect.)
help pleaseee thankssssssss :))))))
Answer:
it is 20
Step-by-step explanation:
because it rounds from the ten value which is to the left of the decimal which means it has to be either 10 or 20 and 8 is greater than 5 so the answer if 20
This question is asking you to round to the nearest ten, not the nearest tenth. To do this, all you have to do is round to the nearest product of ten - in this case, 20.
If each customer takes 3 minutes to check out, what is the probability that it will take more than 9 minutes for all the customers currently in line to check out?
Using a discrete probability distribution, it is found that there is a 0.15 = 15% probability that it will take more than 9 minutes for all the customers currently in line to check out.
What is the discrete probability distribution?Researching the problem on the internet, it is found that the distribution for the number of customers in line at the store is given by:
P(X = 0) = 0.2;P(X = 1) = 0.15;P(X = 2) = 0.30;P(X = 3) = 0.20;P(X = 4) = 0.10;P(X = 5) = 0.05;Hence, since each customer takes 3 minutes to check out, the probability that it will take more than 9 minutes for all the customers currently in line to check out is the probability that there are more than 3 customers, hence:
P(X > 3) = P(X = 4) + P(X = 5) = 0.10 + 0.05 = 0.15.
0.15 = 15% probability that it will take more than 9 minutes for all the customers currently in line to check out.
More can be learned about a discrete probability distribution at https://brainly.com/question/24855677
The table represents a linear function that shows the number of stamps y that a student collects after x months. Complete the table.
Answer:
24
Step-by-step explanation:
a linear function has the form: y = ax + b
According to the table: b = 5 and a = (43 − 5)/(2 − 0) = 38/2 = 19
Then our function is of the form: y = 19x + 5
Now ,we replace x by 1 in the function to get the missing value :
Missing value = 19(1) + 5 = 19 + 5 = 24.
Bill has to choose between a 10% off coupon and a coupon that saves $10.00. Which of the following totals would allow Bill to save more with the $10 coupon? Answer choices:
$140 $120 $100 $80
Answer:
$80
Step-by-step explanation
(chart)
10% -$10
$140 $126 $130
$120 $108 $110
$100 $90 $90
$80 $72 $70
Determine the equation of the parabola that opens up, has focus (−2,7), and a focal diameter of 24.
Answer:
[tex] \sf{(x + 2)}^{2} = 24(y -1) [/tex]
Step-by-step explanation:
Given:
focus(h,k)= (−2,7)
Focal Diameter (Latus rectum) = 24
To find:
Equation of parabola= ?
Solution:
Focal Diameter also known as letus rectum is the segment which passes through Focus and intersects the Axis of parabola having end point at the wall of of parabola.
Focal Diameter = 24
[tex]4p = 24 \\ p = \cancel\frac{ 24}{ 4} = 6 \\ \fbox{p = a = 6}[/tex]
Now to find the equation of parabola we need the vertex(h,v).
Vertex is a point on parabola which lies in same axis of symmetry at equidistant from the directrix and Focus and the distance is one fourth of letus rectum.
Now,
[tex] \sf \: (h,v) = (h,k-p) \\ \sf \: (h,v)= (-2,7-6) \\\sf \: \fbox{ (h,v) = (-2,1)}[/tex]
Equation of parabola
[tex]\sf{(x-h)}^{2} = 4a(y - v)[/tex]
Substituting the cordinate of vertex in above equation,
[tex] \sf{(x - (-2)}^{2} = 4 \times ( 6)(y-1 ) \\ \sf{(x + 2)}^{2} = 24(y -1)[/tex]
This is the final answer.
Thanks for joining brainly community!
Without using a calculator, order the following expressions from least to greatest.
11/3, square root 20, square root 17
Answer:
[tex]\displaystyle \large{\frac{11}{3} < \sqrt{17} < \sqrt{20}}[/tex]
Step-by-step explanation:
( 1 ) 11/3
[tex]\displaystyle \large{\frac{11}{3}}[/tex] can be converted to mixed fractions to [tex]\displaystyle \large{3\frac{2}{3}}[/tex]
Therefore, 11/3 is at least around 3, almost 4. It could be more than 3.5 by approximation but not exactly 4.
( 2 ) √20
[tex]\displaystyle \large{\sqrt{20}=\sqrt{5\cdot 4}}\\\displaystyle \large{\sqrt{20}=\sqrt{5\cdot 2\cdot 2}}\\\displaystyle \large{\sqrt{20}=2\sqrt{5}}[/tex]
We know that [tex]\displaystyle \large{\sqrt{4}=2}[/tex] so [tex]\displaystyle \large{\sqrt{5} > \sqrt{4}}[/tex] which means approximately, [tex]\displaystyle \large{\sqrt{20}}[/tex] can be either at least 4.3 up to 4.4
( 3 ) √17
We know that [tex]\displaystyle \large{\sqrt{16} = 4}[/tex] so [tex]\displaystyle \large{\sqrt{17}}[/tex] can be at least 4.1 up to 4.2, but it’s obvious that the square root of 17 is less than square root of 20 since [tex]\displaystyle \large{\sqrt{a} > \sqrt{b}}[/tex] for a > b
Hence, from least to greatest:
[tex]\displaystyle \large{\frac{11}{3} < \sqrt{17} < \sqrt{20}}[/tex]
PLEASE HELP CHOOSING BRAINLIEST
Answer:
C
Step-by-step explanation:
The denominator is the same and the expression can be rewritten as 2n⁴ + 6 - 7 in the numerator, which simplifies to 2n⁴ - 1 over n⁴ + 3.
Algebraically:
[tex]\frac{2n^4+6}{n^4+3} -\frac{7}{n^4+3}[/tex]
[tex]\frac{2n^4+6-7}{n^4+3}[/tex]
[tex]\frac{2n^4-1}{n^4+3}[/tex]
I hope this helps!
Find the equation of line a and line b.
HELP PLEASE
Answer:
Blue-y=1/2-1
Red-x=-3
Step-by-step explanation:
find a area of a circumference that is 13 ft for 3.14 π
Answer:
4.14x3.14=12.9996
Step-by-step explanation:
This is the closest to 13 ft via circumference
Here is a few equations a dn formulas to remind you.
Area=3.14xRxR or Pi*rr
This is Pi times the radius times the radius.
The radius is half of the circle or half of the Diameter.
Area(semi-circle)=1/2x3.14xrxr
Circumfrence=3.14xDor 3.14xdiameter
If this answer helped pls give brainlest.
Is this a right triangle?
Answer:
Yes
Step-by-step explanation:
Use the Pythagorean theorem (a^2 + b^2 = c^2) to find out if the hypotenuse (20 cm) squared is equal to the sum of the other two sides when squared. This will determine if it is truly a right triangle.
[tex]12^{2} +16^{2} =20^{2}[/tex]
[tex]144 + 256 = 400[/tex]
[tex]400 = 400[/tex]
The triangle is indeed a right triangle.
pls simplify this will give brainly and a lot of points!!!!! 5:00min
Answer:
More details please ._.
Step-by-step explanation:
[tex] \frac{{b}^{4} }{ {a}^{2} {c}^{2} } [/tex]
explanation:
There's 4 as in the denominator which cancels out the 2 in the numerator. Thus leaving you with 2 as in the denominator. Then there's only 1 b I the denominator which is canceled out by the ones in the numerator, leaving you with only 4 b's in the numerator. Finally there is only 1 c in the numerator which is canceled out by the ones in the denominator. Thus leaving you with 2 c's in the denominator.
If b= 110 degrees and a= 50 degrees, what is the value of x?
I think you're question is incomplete or is missing an attachment.
Find the volume of the cone.
Use 3.14 for π. Round your answer to the nearest tenth if needed. Do not enter units.
Answer:
94.2 cm³
Step-by-step explanation:
Volume of cone= ⅓πr²h
Let's identify the radius of the base and the height of the cone!
r= 3 cm
h= 10 cm
Next, substitute r= 3 and h= 10 into the volume of cone formula.
Volume of cone
= ⅓(3.14)(3²)(10)
= 94.2 cm³
I NEED HELP IM STUCK ON THIS
Step-by-step explanation:
[tex]12 \frac{1}{25} - 7 \frac{2}{15} [/tex]
[tex] \frac{368}{75} [/tex]
The means and mean absolute deviations of sidney’s and phil’s grades are shown in the table below. means and mean absolute deviations of sidney’s and phil’s grades sidney phil mean 82 78 mean absolute deviation 3.28 3.96 which expression represents the ratio of the difference of the two means to sidney’s mean absolute deviation? startfraction 82 over 3.28 endfraction startfraction 4 over 3.28 endfraction startfraction 4 over 0.68 endfraction startfraction 82 over 0.68 endfraction
The expression that represents the ratio of the difference of the two means to Sidney’s mean absolute deviation is given by: Option B: 4/3.28
What is mean absolute deviation?Mean absolute deviation is the average of the absolute deviation of each observation from their mean, for a considered set of observations.
For this case, the table of mean and mean absolute deviation is given as:
[tex]\begin{array}{ccc}&Mean&M.A.D.\\\text{Sidney}&82&3.28\\\text{Phill}&78&3.96\end{array}[/tex]
(M.A.D refers to Mean Absolute Deviation).
So, difference in their mean is 82 - 78 = 4
Absolute deviation for Sidney is 3.28
Thier ratio is: 4/3.28
Thus, the expression that represents the ratio of the difference of the two means to Sidney’s mean absolute deviation is given by: Option B: 4/3.28
Learn more about ratio here:
https://brainly.com/question/12106245
Answer:
Option B: 4/3.28
Step-by-step explanation:
Jina makes eight dollars for each hour of work. Write an equation to represent her total pay ‘p’ after working ‘h’ hours
Answer:
p = 8h
Step-by-step explanation:
Simple math my guy
Answer:
p=8h
Step-by-step explanation:
For each hour, she gets paid $8. So the total pay would be the number of hours multiplied by 8.
Felix has $100 in an account that earns 5% interest compounded annually.
To the nearest cent, how much interest will he earn in 2 years?
Based on the amount that Felix deposited in the account and the 5% compounded annual interest, the interest Felix will earn in 2 years is $10.25
How to find the interest earned?First, find the amount the $100 would have accrued to in 2 years:
= Amount deposited x (1 + rate) ^ number of years
Solving gives:
= 100 x (1 + 5%)²
= $110.25
The interest earned is:
= Amount in 2 years - Amount deposited
= 110.25 - 100
= $10.25
Find out more on compounded interest at https://brainly.com/question/24924853
#SPJ1
Answer:10.25
Step-by-step explanation:
