Answer:
6.2 meters
Step-by-step explanation:
1) area = l*w
74.4 = 12x
x=6.2
You have a Right Triangle with side lengths of 9ft and 12ft; solve for its perimeter and area.
Step-by-step explanation:
of course, we have to use Pythagoras.
c² = a² + b²
c is the Hypotenuse = the side opposite of the 90° angle.
and here is the problem : are 9 and 12 the legs. or is one of them the Hypotenuse ?
I don't know from the description.
let's see what we get one way or the other :
assumption : the known sides are the "legs".
c² = 9² + 12² = 81 + 144 = 225
c = 15 ft
that is a nice number. so, it looks like that was the intention.
just to be sure, here also the other options :
9² = 12² + side²
81 = 144 + side² that makes side² negative, so, not valid.
12² = 9² + side²
144 = 81 + side²
63 = side²
side = sqrt(63) this is not a nice round number, so, we go with the first option.
therefore, the 3 sides are
9 ft, 12 ft, 15 ft
perimeter = 9+12+15 = 36 ft
area = baseline×height/2
since this is a right-angled triangle, the "legs" with the enclosed 90° angle serve as baseline and height.
area = 9×12/2 = 9×6 = 54 ft²
What is the slope? X 0,1,2,3 y -5,-1,3,7
[tex]\begin{array}{|cc|ll} \cline{1-2} x&y\\ \cline{1-2} 0&-5\\ 1&-1\\ 2&3\\ 3&7\\ \cline{1-2} \end{array} \begin{array}{llll}\\[-0.5em] \leftarrow \textit{let's use this point}\\\\\\ \leftarrow \textit{and this point} \end{array}\qquad \qquad (\stackrel{x_1}{0}~,~\stackrel{y_1}{-5})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{7})[/tex]
[tex]\stackrel{slope}{m}\implies\cfrac{\stackrel{rise}{\stackrel{y_2}{7}-\stackrel{y1}{(-5)}}}{\underset{run}{\underset{x_2}{3}-\underset{x_1}{0}}}\implies \cfrac{7+5}{3}\implies \cfrac{12}{3}\implies 4[/tex]
write an equation in standard form for a line that is (a) parallel (b) perpendicular to the line with an equation of Y= 3x -5 that passes through point (8,5)
how many units is -3 2/3 from zero on the number line
Answer:
It is 3 2/3 away from zero or 3.7 (3.66666666667) away from zero.
Step-by-step explanation:
It is 3 2/3 away from zero or 3.7 (3.66666666667) away from zero.
The population in a major metropolitan city is given by the formula
P(t)=5.leº.0111
where t is measured in years since 2000 and P(t) is measured in millions.
What does the model predict the population is in the year 2015?
Interpret your result with a complete sentence.
Answer:
The rat population in a major metropolitan city is given by the formula n(t)=67e^0.035t where t is measured in years since 1994 and n(t)is measured in millions.
DIRECTION: Solve each proportion.
1. 6/15 = n/25
2. 3/5 = 21/n
3. n/12 = 15/30
4.3/n = 12/24n
5. 6/12 = n/72
plss help me :(
Answer:
1. n=10
2. n=35
3. n=6
4. n=0 ? not sure for this one. two variables in the proportion
5. n=36
Step-by-step explanation:
set each set of proportion equal to each other and do cross multiplication
hope this helps !
how are you ?
Answer:
10356636Step-by-step explanation:
Please take a look of the attached photo for the solution.
You invested $5,000 in a 10 year CD at the age of 12. The account pays 2.5% interest compounded continuously. How much money will you have after 10 years? (Round to the nearest cent.)
Answer:
Do PRT: 5009.31
Step-by-step explanation:
Princable: 5000
Rate: 2.5
Time: 10
Answer:
Write an equation in POINT-SLOPE for a line parallel to y=-2/3x+1 and goes through (5,-2)
Answer: y-(-2)=-2/3(x-5)
Step-by-step explanation:y-y1=m(x-x1)
Plug-in
What location on the line would you find the constant of proportionality?
Answer:
2.4
Step-by-step explanation:
The constant of proportionality is y=kx which should 2.4
Part D: Your parents put in fencing around the walkway for safety. If 110 feet of
fencing is used, what are the dimensions of the pool? Show your work.
Answer:
Step-by-step explanation:
Not near enough information to know.
I ASSUME that the pool is surrounded by a walkway of constant width (w = 2 ft, from comments)
The pool shape is important as well. No mention of the shape
If the pool is circular and the walkway is 3 ft wide
the fence encloses a diameter of 110/π = 35 ft
so the diameter of the pool would be 35 - 2(3) = 29 ft.
POOL IS RECTANGULAR from comments
If the pool is square and the walkway is 2 ft wide, each side of the fence is
110 / 4 = 27.5 ft and the pool would be 27.5 - 2(2) = 23.5 ft on a side.
There are an infinite number of rectangular width and length dimensions and walkway dimensions which would result in a fence length of 110 ft.
Edit from comments
Still an infinite number of rectangular length an width dimensions for a pool with a 2 ft wide walkway around it.
Let's say that we are told the pool is 12 ft wide with 2 ft walkway.
Let L be the pool length
110 = 2(12 + 2(2)) + 2(L + 2(2))
110 = 32 + 2L + 8
70 = 2L
L = 35 ft
15/4= simplify it please
Answer:
[tex]The \: fraction \: \frac{15}{4} \: is \: equivalent \: to \: 3 \frac{3}{4 } .[/tex]
This fraction is a improper fraction once the absolute value of the top number or numerator (15) is greater than the absolute value of the bottom number or denomintor (4). So, the equivalent fraction is a mixed number which is made up of a whole number (3) and a proper fraction [tex]3 \frac{3}{4} [/tex]
The fraction [tex] \frac{15}{4} [/tex]
is also equal to 15÷4 and can also be expressed as a decimal as 3.75 and expressed as a percentage as 375%.
The fraction 15/4 is equivalent to 3 3/4.
Here, we have,
To simplify the fraction 15/4, you need to find the greatest common divisor (GCD) of the numerator (15) and the denominator (4) and divide both the numerator and denominator by the GCD.
The GCD of 15 and 4 is 1 since there are no common factors other than 1.
Dividing both the numerator and denominator by 1, we get:
(15 ÷ 1) / (4 ÷ 1) = 15/4
This fraction is a improper fraction once the absolute value of the top number or numerator (15) is greater than the absolute value of the bottom number or denominator (4).
So, the equivalent fraction is a mixed number which is made up of a whole number (3) and a proper fraction 3 3/4.
The fraction 15/4 is also equal to 15÷4 and can also be expressed as a decimal as 3.75 and expressed as a percentage as 375%.
To learn more on fraction click:
brainly.com/question/10354322
#SPJ4
PLS HELP
The expression 46(1 + x) represents the total cost of a meal including the tip. What do the different parts of the expression represent? Match each description to the correct part of the expression.
Question 3 options:
The original price of the meal before tip was added.
The tip percentage written as a decimal.
1.
(1 + x)
2.
x
3.
46
true or false
A political party is a group of people who seek to control government by winning elections and holding office
Answer:
True
Step-by-step explanation:
Eg. Republican party nominates a candidate to be considered by the people [hopefully voted] into office. If they win the election, they control a part of government in office.
How much must you deposit in an account that pays 6.25% interest, compounded annually, to have a balance of $700 after two years?
= $
The compound interest is applied to the remaining balance in the account
each subsequent year.
The amount that must be deposited is approximately $620.07Reasons:
The given compound interest rate, r = 6.25% = 0.0625
The balance in the account after 2 years, A = $700
Required:
The required deposit, P, that gives the given account balance after 2 years.
Solution:
The following is the compound interest formula to use;
[tex]A = \mathbf{P \times \left(1+r \right)^{ t}}[/tex]Where;
t = 2 years
We get;
[tex]\displaystyle P = \mathbf{ \frac{A}{(1 + r)^t}}[/tex]
Which gives;
[tex]\displaystyle P = \frac{700}{(1 + 0.0625)^2} \approx \mathbf{620.07}[/tex]
The amount that must be deposited to give $700 after 2 years is P ≈ $620.07Learn more about compound interest here:
https://brainly.com/question/10028292
Find the volume of the following figure. Use 3.14 for pi. best answer gets brainliest also 100 points
Answer: 301.44 cubic inches.
Step-by-step explanation:
The formula for the volume of a cone is [tex]V = \pi r^2 \frac{h}{3}[/tex], so by plugging in the radius (6) and height (8), and using 3.14 as pi, you can get 301.44 as the total volume.
Since it is volume, it is in inches cubed, Therefore, the final answer is 301.44 cubic inches.
I hope this helps! :)
Question
Round to the nearest ten: 1,078
Answer:
7 = 7 * 10 = 70
Step-by-step explanation:
Answer:
• 1080
Step-by-step explanation:
How to Calculate Rounding to the Nearest Tens Whole Number?
If the ones digit (first number after decimal point) of the number is greater than or equal to 5 we add 1 to tens of number, If the ones digit of the number is less than 5 we change ones digit to 0.
Example:
1026The ones number is 66 is greater than 5, so we add 1 to tens.Result = 1030[tex] \: [/tex]
Use the numbers from the item bank down below to write the value of each expression
1. Value=206
2. Value=205
3. Value= 208
4. Value=207
What is the largest integer whose cube is less than 10,000?
Answer:
8 512 =8 X 8 X 8
Step-by-step explanation:
whats -2 - 19t if t=-1
Answer:
17
Step-by-step explanation:
-2 - 19 x -1
-2 + 19(because two negatives make a positive)
17
Answer:
17 is the answer.
Step-by-step explanation:
Given:
t = -1Let's substitute.
=> -2 - 19t
=> -2 - 19(-1)
=> -2 - (-19)
=> -2 + 19
=> 17
Therefore, 17 is the answer.
Hoped this helped.
Paula's Pies is famous
for their apple pie. At
Thanksgiving, they receive
orders for 296 pies. If
Paula can prepare 8 pies
in 3 hours, then how many
hours will it take her
prepare the order?
(PLEASE MAKE THE WORK A RATIO TABLE!)
Sets of 8pies
296/8=37No if time for 8pies=3h
No of time for 37 sets of 8pies:-
3(37)=111hWhat is the slope of the line that passes through the points C(-2, 4) and D(1, -1)? 3
Answer:
-5/3
Step-by-step explanation:
lmk if you want an explanation
Last week a candle store received $515.90 for selling 30 candles. Small candles sell for $11.25 and large candles sell for $22.40. how many large candles did the store sell?
Answer:
16
Step-by-step explanation:
x+y=30 solve for x x=30-y
substitute x with 30-y and solve
11.25x+22.4y=515.9
11.25(30-y)+22.4y=515.9
337.5+11.15y=515.9
11.15y=178.4
y=16
since we're solving for just large candles it's 16
if need small cangle number 30-16=14
What is the value of x? Enter your answer in the
box.
Answer:
70⁰ + 30⁰ + x = 180 ( angle sum property (
100⁰ + x = 180
x = 80⁰
find the 99th term of the arithimic sequence 2, 5/2, 3, 7/2, ...
Answer:
99th term is 51
Step-by-step explanation:
Arithmetic sequence equation
a1= first term = 2
d= common difference = 0.5 or 1/2
2, 5/2 = 5/2 - 2 = 0.5 or 1/2
3 - 5/2 = 1/2
7/2 - 3 = 1/2
an = a1 + (n - 1)d
a99 = 2 + (99-1) 1/2
a99= 2 + 98 (1/2)
a99 = 2 + 49
a99 = 51
find the maclaurin series of the given function f(x)=ln(1-x)
Answer:
[tex]-a-\frac{a^2}{2}-\frac{a^3}{3}-\frac{a^4}{4}-...-\frac{a^n}{n}-...[/tex]
Step-by-step explanation:
1) the rule is:
[tex]ln(1+a)=a-\frac{a^2}{2}+\frac{a^3}{3}-\frac{a^4}{4}+...+(-1)^{n-1}\frac{a^n}{n}+...[/tex]
2) according to the rule above:
[tex]ln(1+(-a))=(-a)-\frac{(-a)^2}{2}+\frac{(-a)^3}{3}-\frac{(-a)^4}{4}+...+(-1)^{n-1}\frac{(-a)^n}{n}+...[/tex]
finally,
[tex]ln(1-a)=-a-\frac{a^2}{2}-\frac{a^3}{3}-\frac{a^4}{4}-...-\frac{a^n}{n}-...[/tex]
Write a number using the following clues:
a multiple of 6
greater than 40, but less than 90
Answer:
48
Step-by-step explanation:
There are various multiples of 6 that are greater than 40, but less than 90. Including 42, 48, 54, 60, 66, 72, 78, and 84. :)
Which of the following is the decimal counterpart of the binary number 10012? a. 9 b. 10 c. 11 d. 12
Answer:
maybe it's 12 but i don't know...
.. Write the number word of 0.036???
Answer:
zero point zero three six
What happens to the median of the data set below if the number 10 is added?
{2, 4, 8, 2, 7, 6, 18, 20, 24}
Answer:
The median goes up 0.5
Step-by-step explanation:
Before the number 10.
Mean x¯¯¯ 10.111111111111
Median x˜ 7
Mode 2
Range 22
Minimum 2
Maximum 24
Count n 9
Sum 91
Quartiles Quartiles:
Q1 --> 3
Q2 --> 7
Q3 --> 19
Interquartile
Range IQR 16
Outliers none
After 10 is added.
Mean x¯¯¯ 10.1
Median x˜ 7.5
Mode 2
Range 22
Minimum 2
Maximum 24
Count n 10
Sum 101
Quartiles Quartiles:
Q1 --> 4
Q2 --> 7.5
Q3 --> 18
Interquartile
Range IQR 14
Outliers none
It goes up .5.
In a class of 30 students, 60% like math. How many students: Do not like math?
Answer:
12 students
Step-by-step explanation:
30×0.4=12.