Answer:
289.4 = 289.400
Step-by-step explanation:
no matter how many 0s are added to the end theyre always gonna be the same
Two sides of a rectangle are 7cm and 9cm respectively. What is the range of the possible length of the third sides?
Answer:
Step-by-step explanation:
9 - 7 < length of 3rd sides < 9 + 7
so the range is greater than 2 cm and less than 16 cm
Pls help on this question pls
Answer:
42b -7.5
Step-by-step explanation:
Explain in your own words how to find the area of a trapezoid.
Answer:
Step-by-step explanation:
[tex]Area \ of \ trapezoid = \dfrac{h(a+b)}{2}[/tex]
h - altitude or height between the parallel sides
a , b area the length of the parallel sides
Find the slope of the line through the pair of points: (3,4)and (0,2)
Step-by-step explanation:
To find the slope, we'll use this formula:
[tex] \frac{y2}{x2} - \frac{y1}{x1} = m[/tex]
m will represent our slope.
Use the first point as the second in the formula, as we'll subtract for the correct slope.
Substitute the 2 given points into the formula format:
[tex] \frac{4}{3} - \frac{2}{0} = m[/tex]
Subtract:
[tex] \frac{2}{3} = m[/tex]
The slope is 2/3.
Answer:
[tex]\boxed{\sf{\dfrac{2}{3} }}}[/tex]
Step-by-step explanation:
A slope formula is all you need to use to find the slope.
Slope:
[tex]\sf{\dfrac{Y_2-Y_1}{X_2-X_1} }[/tex]
y2=2
y1=4
x2=0
x1=3
Rewrite the problem.
[tex]\sf{\dfrac{2-4}{0-3} }[/tex]
Then, solve it.
[tex]\sf{\dfrac{2-4}{0-3}=\dfrac{-2}{-3}=\boxed{\sf{\dfrac{2}{3} }}} }[/tex]
As a result, the slope is 2/3, which is our answer.
I hope this helps you! Please let me know if my answer is wrong or not.
A Triangle has a base length of 14cm.
The perpendicular height is 9cm.
Find the area of the triangle.
Step-by-step explanation:
multiply 14cm by 9cm
[tex]14cm \times 9cm[/tex]
equals 126
Answer:
63
Step-by-step explanation:
4
Find the discriminant and State of real and imaginary solutions.
9n^2 - 3n - 8= -10
-2x^2 - 8x -14= -6
[tex]\qquad \qquad \qquad \textit{discriminant of a quadratic} \\\\\\ 9n^2-3n-8=-10\implies 9n^2-3n+2=0 \\\\\\ \stackrel{\stackrel{a}{\downarrow }}{9}n^2\stackrel{\stackrel{b}{\downarrow }}{-3}n\stackrel{\stackrel{c}{\downarrow }}{+2}=0 ~~~~~~~~ \stackrel{discriminant}{b^2-4ac}= \begin{cases} 0&\textit{one solution}\\ positive&\textit{two solutions}\\ negative&\textit{no solution} \end{cases}[/tex]
[tex](-3)^2-4(9)(2)\implies 9-72\implies -63\leftarrow \stackrel{\textit{two \underline{imaginary} solutions}}{\textit{no real solution}} \\\\[-0.35em] ~\dotfill\\\\ -2x^2-8x-14=-6\implies -2x^2-8x-8=0 \\\\\\ \stackrel{\stackrel{a}{\downarrow }}{-2}x^2\stackrel{\stackrel{b}{\downarrow }}{-8}x\stackrel{\stackrel{-8}{\downarrow }}{-8}=0\qquad \qquad \qquad \qquad (-8)^2-4(-2)(-8) \\\\\\ 64-64\implies 0\leftarrow \textit{one \underline{real} solution}[/tex]
The perimeter of a rectangular balcony is 32 feet. The balcony is 12 feet long. How wide is it?
Answer:
4 feet wide because to find the perimeter you add all the numbers around
A couple plans to save for their child's college education. What principal must be deposited by the parents when their child is born in order to have $44,000 when the child reaches the age of 18? Assume the money earns 5% interest, compounded monthly.
Answer:
$17,922.55
Step-by-step explanation:
The future value of a one-time investment is calculated using the formula ...
FV = P(1 +r/n)^(nt)
where principal P is invested at annual rate r compounded n times per year for t years.
__
You have FV = 44000, r = 0.05, n = 12, t = 18, and you want to find P.
44000 = P(1 +0.05/12)^(12·18) ≈ 2.455008P
P = 44000/2.455008 = 17,922.55
The couple must deposit $17,922.55 in order to have $44,000 in 18 years.
_____
Additional comment
Some calculators, all spreadsheets, and a number of apps can make this calculation for you. All you must do is fill in the numbers.
56 is 80% of what number? Use the percent equation
Answer:
70
Step-by-step explanation:
56 = .80 · x
divide both sides by .8
Answer:
70
56= 0.8 *x is the equation
In a cryptarithm, each letter is assigned its own unique digit. In the cryptarithm shown (where MATH is 3 times FUN), FUN is a 3-digit number with its digits in consecutive and increasing order. What 3-digit number is FUN? [No leading digit can be 0.]
The 3 digit number that is FUN is; 678
What is the combination of the numbers?We are told that MATH is 3 times the word "FUN".
We are also told that each letter is assigned a unique number and that no leading digit can be zero and that the digits must be consecutive.
Now, product of 789 by 3 gives;2367.
Each letter should have a unique letter and so that is not the correct sequence.
Let us try the product of 678 by;
678 * 3 = 2034
This fulfils the condition of the question because each letter has a unique digit, the lead digit is not zero and the numbers are consecutive numbers in increasing order.
Thus, the 3-digit number that is FUN is 678.
Read more about combination of numbers at; https://brainly.com/question/12468032
The ratio of the weight of cement to the weight of sand is 1:3. How many pounds of sand are in 9 pounds of cement?
Which statement is true?
A. 30 is 3% of 100.
B. 6 is 12% of 200.
C. 15 is 30% of 50.
D. 12 is 5% of 60.
Answer:
A. 30 is 3% of 100
Step-by-step explanation:
So if 10 is 1% of 100, then 30 is 3% of 100
Find the missing side lengths. Answers are in simplest radical form with the
denominator rationalized.
Answer:
side y would be 4xroot(2); side x would be 8.
Step-by-step explanation:
45-45-90 triangle rules.
Please help
If the m∠A is 33° and m∠D is 27°, determine the measure of the following:
Answer:
See below
Step-by-step explanation:
By inscribed angle theorem:
measure of intercepted arc is equal to twice the measure of its corresponding inscribed angle.
[tex]\implies[/tex]
[tex]arc\: AC = 2(27\degree) =\boxed{\purple{54\degree}}[/tex]
[tex]arc\: BD = 2(33\degree) =\boxed{\red{66\degree}}[/tex]
[tex]arc\: CB= 180\degree-(54\degree+66\degree)[/tex]
[tex]\implies arc\: CB= 180\degree-120\degree[/tex]
[tex]\implies arc\: CB= \boxed{\blue{60\degree}}[/tex]
Simplify the expression
3.4n + 9.6 - 2.1n
Answer:
1.3n + 9.6
Step-by-step explanation:
3.4n + 9.6 - 2.1n
So you can rearrange it to make it visually easier (but it's not needed)
3.4n - 2.1n + 9.6
Subtract like terms
1.3n + 9.6
Why should you find out what kinds of damage are common in your area?
Answer:
Wind. “The most common source or cause of damage is wind-related,” Scott Humphrey, second vice president of risk control at Travelers, told TODAY Home. ...
Nonweather-Related Water. ...
Hail. ...
Weather-Related Water.
Theft.
hope i correct
Joel has a photo box that is 10 inches in length, 8 inches in width, and 5 inches in height. What is the volume of the box? Show your work below.
The volume of the photo box is 400 cubic inches.
What is volume?Volume is defined as the space covered by any solid body in the three-dimensional plane. For the reectangular box, we need the length, width and height of the box to calculate the volume.
The volume of the box will be calculated as:-
V = L x W x H
Here, L = 10 In, W =8 In, and H = 5 in put the values.
V = 10 x 8 x 5
V = 400 cubic inches
Hence, the volume is 400 cubic inches.
To know more about volume follow
https://brainly.com/question/12336871
#SPJ2
please do not use words just use the equation step by step please
Answer:
[tex]x=6[/tex]
Step-by-step explanation:
The angle vertical to 8+17x corresponds with 110, so we set them equal to each other and solve for x since they are congruent:
[tex]8+17x=110\\\\17x=102\\\\x=6[/tex]
Answer:
x=6x=6
Step-by-step explanation:
The angle vertical to 8+17x corresponds with 110, so we set them equal to each other and solve for x since they are congruent:
\begin{gathered}8+17x=110\\\\17x=102\\\\x=6\end{gathered}
8+17x=110
17x=102
x=6
word problem for 3 divided by 1/2
Answer:
Step-by-step explanation:
it is 1.5 take it like that
What is 80% of 160
(math homework ☹️)
Answer:
128
Step-by-step explanation:
1.28 x 10^2,2^7
80% x 160 =128
Hope this helps mark me brainlist if possible
Answer:
128
Step-by-step explanation:
(80/100)*160
or
(80*160)/100
12800/100=128
A beverage producer needs to minimize shipping costs from its two primary plants in Hamilton and Waterloo. All wholesale orders within the city are shipped from one of these plants. An outlet in Toronto orders 200 cases of soft drinks, on the same day an order for 240 cases comes from London. The plant in Hamilton has 300 cases ready to ship and the plant in Waterloo has 200 cases. The cost of shipping each case to Toronto is $0.50 from Hamilton, and $0.70 from Waterloo. The cost of shipping each case to London is $0.60 from Hamilton, and $0.65 from Waterloo. How many cases should be shipped from each warehouse to minimize costs?
Using the Least Cost Method, 200 cases should be shipped to Toronto from Hamilton and 100 cases from Hamilton to London with the remaining 140 cases shipped from Waterloo to London to complete the orders.
What is the Least Cost Method for solving transportation problems?The Least Cost Method is a method of solving transportation problems. The allocation starts by allocating with the cell or column with the minimum cost.
The lower-cost cells are first chosen over the higher-cost cells to obtain the least cost of transportation.
Data and Calculations:Toronto London
Demand 200 cases 240 cases
Inventory:Hamilton = 300 cases
Waterloo = 200 cases
Transportation Costs per case:Toronto London
Hamilton $0.50 $0.60
Waterloo $0.70 $0.65
Various Transportation Costs:Toronto London
Hamilton $100 (200 x $0.50) $144 (240 x $0.60)
Waterloo $140 (200 x $0.70) $156 (240 x $0.65)
The number of cases that should be shipped from each warehouse to minimize transportation costs is as follows:
Toronto London
Hamilton 200 cases 100 cases (at a total cost of $60)
Waterloo 0 case 140 cases (at a total cost of $91)
Total 200 cases 240 cases
Total transportation
costs $100 (200 x $0.50) $151 (100 x $0.60 + 140 x $0.65)
Thus, using the Least Cost Method, 200 cases should be shipped to Toronto from Hamilton and 100 cases from Hamilton to London with the remaining 140 cases shipped from Waterloo to London to complete the orders with the total transportation cost incurred for the two orders from Toronto and London as $251.
Learn more about solving transportation costs problems at https://brainly.com/question/15185511
Other than itself, which angle is congruent to
EAI
The population of small town grew from 4732 to 5967 from
2009 to 2015.
All rounding should be to the nearest thousandth.
A) Assuming exponential growth, write a function to model the
situation.
Define appropriate variables. (3 points)
B) When will the population of this town reach 9000?
Answer:
the small town grew to 2022
(worth 100 points) Miguel is organizing his collection of sports memorabilia into glass display cases. He wants to cover each side of the cases with a protective film to protect the glass. This net represents a single display case.
How much film is needed to cover each display case?
Enter your answer in the box.
Answer:
4240 inches²
Step-by-step explanation:
In order to find the amount of film needed, we have to find the surface area of this cuboid.
Formula to Find Surface Area of Cuboid: [tex]2(wl+hl+hw)[/tex], where w = width, l = length, and h = height.Now, let's solve!
[tex]2(36*25+20*25+20*36)[/tex] [tex]2(900+500+720)[/tex] [tex]2(2120)[/tex] [tex]4240[/tex]Therefore, the answer is 4240 inches².
Answer:
pretty sure the answer in 4240
Step-by-step explanation:
Which of the following figures is a pair of lines that are parallel?
answer all of them and i will give brainlist i thought they were to hard
get them correct il give brainlist
Answer:
thought they were to hard
get them correct il give brainlist
Write the name for the decimal value of point M on the number line.
A number line has endpoints 5.6 and 5.7 with 9 tick marks between them. Point M is on the fourth tick mark after 5.6.
The decimal value of point M on the number line is 5.644.
What is a number line?Number line is a straight line divided with numbers placed at equal intervals or segments along its length.
From the question:
Point M = 5.6 + (4/9) * (5.7 - 5.6) = 5.644
The decimal value of point M on the number line is 5.644.
Find out more on number line at: https://brainly.com/question/24644930
Write the equation of a line in slope intercept
form that has a slope of 5/8 and has a y-intercept
of 2.
Answer:
y=(5/8)x+2
Step-by-step explanation:
Equation of Line in Slope-Intercept Form is y=mx+c
where m is the Slope and c is the y-intercept
so for our Problem
m=5/8 and c=2
y=(5/8)x+2
Answer:
Step-by-step explanation:
The general equation is y = mx + b
The slope is m
and b is the y intercept.
Now all you need do is substitute the values given for m and b
m = 5/8 = 0.625
b = 2
Answer
y = 5/8 * x + 2 I think the decimal form is much clearer.y = 0.526x + 2Find y-intercept for y= (x+2)(x-5)
Answer:
I you added them to gether
Simplify this problem. Leave answer in exponents.
which class are you bro I can't solve it XD
Answer:
a^7/64
Step-by-step explanation:
8^-2a^7
(8^-2 would be 1/64)
1/64a^7
(1/64 * a^7 would be 1a^7/64)
Which could be
a^7/64