Step-by-step explanation:
3.14
To round to the nearest hundredth, we therefore need to look at the digit immediately to its right—in other words, the 1 in the thousandths place. Since that number is less than 5, we need to round down—which gives us a rounded value of pi equal to 3.14
David has available 2800 yards of fencing and wishes to enclose a rectangular area. Express the area A of the rectangle as a function of the width W of the rectangle.
Answer:
The area of the rectangular area is (1400w-w²) square yards.
Step-by-step explanation:
Given that,
David has available 2800 yards of fencing. He wants to enclose a rectangular area.
Assume that, the length and width of the rectangular be l and w respectively.
The perimeter of the rectangular area is
=2(length+ width)
=2(l+w)
So,
2(l+w)= 2800
[tex]\Rightarrow l+w= \frac{2800}{2}[/tex]
[tex]\Rightarrow l+w= 1400[/tex]
[tex]\therefore l= 1400-w[/tex]
The area of the rectangular area is = length× width
=l×w
=(1400-w) w
=(1400w-w²) square yards.
Final answer:
The area A of the rectangle can be expressed as a function of the width W by using the equation 2L + 2W = 2800, where L represents the length of the rectangle. The formula for the area of a rectangle is A = L * W, substituting the value of L in terms of W, we get A = ((2800 - 2W)/2) * W.
Explanation:
To express the area A of the rectangle as a function of the width W, we need to understand that a rectangle has two equal lengths and two equal widths. Let's assume the length of the rectangle is L. Since the perimeter of the rectangle is 2800 yards, we can write the equation: 2L + 2W = 2800.
Now, we can express L in terms of W: L = (2800 - 2W)/2. The area of the rectangle is given by the formula A = L * W. Substituting the value of L, we get A = ((2800 - 2W)/2) * W.
This is the function that expresses the area A as a function of the width W.
Joel biked 9 miles east and then 12 miles north. If he
biked back to his starting point using the most direct
route, how many miles would he ride all together?
Answer:
36 miles
Step-by-step explanation:
His entire journey, represented with a diagram, is in the shape of a right angle triangle.
We need to first find the hypotenuse of the triangle, then, add all the sides together:
hyp² = opp² + adj²
hyp² = 9² + 12²
hyp² = 81 + 144 = 225
Find the square root of both sides:
hyp = 15 miles
Therefore, adding the three sides together:
Total distance traveled = 9 + 12 + 15
Total distance traveled = 36 miles
He would ride 36 miles altogether.
Answer:
36
Step-by-step explanation:
Two of the sides of a right triangle are 8 and 6 units long. How long is the third side? Find all possible answers.
Answer:
10 units.
2√7 units.
- (or 5.29 units to the nearest hundredth)
Step-by-step explanation:
If the 2 sides are legs of the triangle ( that is they are at 90 degrees to each other) the third side, by Pythagoras theorem:
= √(6^2 + 8^2)
= √100
= 10 units.
The other possibility is that 8 is the length of the hypotenuse, in which case
The third side
= √(8^2 - 6^2)
= √28
= 2√7 units.
The population in a small town is increasing annually by 1.8%. What is the quarterly rate of population increase
Quarterly Rate means the per annum interest rate to be determined for the Bonds on a quarterly basis and the quarterly rate of population increase [tex]0.00447[/tex].
What is quarterly?
If the rate of interest is annual and the interest is compounded quarterly then the number of years [tex](n)[/tex] is [tex]4 times[/tex] and the rate of annual interest [tex](r)[/tex] is one-fourth.
Here given that the annual rate is [tex]r=0.018[/tex].
And the exponential growth function is
[tex]y=a(1+r)^{x} ...(1)[/tex]
where [tex]a[/tex] is the initial amount
and [tex]r[/tex] is the rate of growth.
So, By equation [tex](1)[/tex], we get
[tex]y=a(1+0.018)^{t}\\y=a(1.018)^{t}[/tex]
The quarterly growth rate, the exponent is the number of quarters in [tex]t years[/tex] or [tex]4t[/tex].
So, by multiplying the exponent by [tex]\frac{4}{4}[/tex], the [tex]4t[/tex] represents the number of quarters
[tex]i.e., y=a(1.018)^\frac{4t}{4}\\y=a(1.018^\frac{1}{4})^{4t}\\y=a(1.00447)^{4t}\\[/tex]
Hence, the quarterly growth rate is [tex]1.00446[/tex], now we subtract it with [tex]1[/tex] so it is of the form:-
[tex]1.004477-1=0.00447[/tex]
which implies that the population is increasing.
To learn more about quarterly
https://brainly.com/question/19592579
#SPJ5
help me pls when was the game adopt me made
On April 11, 2020, Adopt Me! reached 1,615,085 concurrent Roblox players, making it the first and only game as of now to cross the 1 million concurrent players mark.
Answer:
On April 11, 2020
Step-by-step explanation:
I think sorry if i'm wrong
a. The windows and door will not be painted. Calculate the area of the wall that will be painted
b. If a quart of Extra- thick exterior paint covers 30 Square feet, how many quarts must be purchased for the painting job? (SHOW WORK THANK YOU) (PICTURE IS ABOVE)
Given:
A rectangular wall with 2 windows and a 1 door.
To find:
The area of the wall and the amount of paint required to cover the wall.
Solution:
The area of the wall can be determined by subtracting the areas covered by the windows and the door from the area of the entire wall.
The entire wall has a length of 12 feet and a width of 8 feet.
The area of a rectangle [tex]=(l)(w).[/tex]
The area of a square [tex]= a^{2} .[/tex]
The entire wall's area [tex]= (12)(8)= 96[/tex] square feet.
The door has a length of 3 feet and a width of 6 feet.
The area of the door [tex]=(3)(6)=18[/tex] square feet.
The windows are in the shape of a square.
The side length of the windows is 2 feet.
The area of a window [tex]= 2^{2} =4[/tex] square feet.
The area of 2 windows [tex]= 2(4) = 8[/tex] square feet.
The area of the wall [tex]=96-18-8=70[/tex] square feet.
If a quart of extra-thick exterior paint covers 30 square feet, then 70 square feet will need;
The paint needed to cover 70 square feet [tex]= \frac{70}{30} = 2.333[/tex] quarts.
So the area of the wall was 70 square feet and 2.333 quarts of extra-thick exterior paint is required to cover the wall.
What is the sum of 7/18 + 14 1/9 ?
Answer:
14 9/18 (or
Step-by-step explanation:
The sum of 7/18 + 14 1/9 are
7/18 + 14 1/9
7/18 + 14 2/18 <= Make the fraction the same denominator
14 9/18 <= Simplify the Fraction
14 1/2
Hope this helps! Make sure to give me the brainliest answer, if you like my answer. It will be greatly appreciated!
Answer:
14 1/2
Step-by-step explanation:
A line parallel to $3x-7y = 65$ passes through the point $(7,4)$ and $(0,K)$. What is the value of K?
Answer:
1
Step-by-step explanation:
Hi, its you again lol.
I am in elementary btw.
I don't want to put the equation down.
Answer:
1
Step-by-step explanation:
AoPs Algebra ~ Graphing Multiple Lines Question
Find 1% of 100.
Find 5% of 100.
Find 12% of 100.
1% of 100 is 1.
5% of 100 is 5.
12% of 100 is 12.
If you're going to ask an easy question, then please give me a thanks at least
Show that 9^n can't end with 2 for any integer n.
Please tell me fast!
Answer:
i have no idea ask one of your dorm roomates.
Step-by-step explanation:
Evaluate the variable expression for x = 5, and enter your answer in the box
below.
6.(x- 9) - 5
The value of the variable expression 6.(x- 9) - 5 when x = 5 is -29.
To evaluate the variable expression for x = 5, we simply substitute 5 for x in the expression.
6.(x- 9) - 5 = 6.(5- 9) - 5
= 6.(-4) - 5
= -24 - 5
= -29
Therefore, the value of the variable expression 6.(x- 9) - 5 when x = 5 is -29.
For such more question on expression
https://brainly.com/question/1859113
#SPJ2
Simplify: 3(5x+3x)+(x−8)
Thanks.
Answer:
=25x-8
hope this helps
Which expression shows a sum of four terms?
a. 4 + x + 4 + x
b. x4
c. 4(x + 4)
d. 4x
Answer:
a
Step-by-step explanation:
Answer:
I think c MAYBE dont quote me on it tho
-12 = 4 is equivalent to?
Answer:
no
Step-by-step explanation:
if you multiply 4 by -3 you get -12 tho
What percent of 125 is 25?
Answer:
20%
Step-by-step explanation:
Step-by-step explanation:
When you check in percentage calculator the answer is 6.25
Megan has A quarters and B dimes with a total value of $1.95, where A and B are both counting numbers. How many different values of A can Megan have?
Answer: The number of quarters can be 1, 3, 5 or 7
Step-by-step explanation:
Megan has A quarters and B dimes.
The value of a quarter is $0.25 and the value of a dime is $0.10
Then we have that:
A*$0.25 + B*$0.10 = $1.95
We want to know the different possible values of A.
Now, it is usefull to see the different multilpes of 0.25 (this is the odd multyples of 0.25) we only care for the ones that have a 5 in the undredth place, becauses we only can ad multiple of $0.10, so the 5 in the undredth place needs to come from this
Then the possible values of A are the odd numbers such that A*0.25 is smaller than 1.95, let's do the math:
0.25*1 = 0.25 (here 1.95 - 0.25 = 1.70, then B = 1.70/0.10 = 17) the pair is B = 17 and A = 1
0.25*3 = 0.75 (here 1.95 - 75 = 1.20, then B = 1.20/0.10 = 12) the pair is B = 12 and A = 3.
0.25*5 = 1.25 (here 1.95 - 1.25 = 0.70, then B = 0.70/0.10 = 7) the pair is B = 7 and A = 5
0.25*7 = 1.75 (here 1.95 - 1.75 = 0.20, then b = 0.20/0.10 = 2) The pair is B = 2 and A = 7
help plzzzzz its hard
Answer:
Hehe Hopefully I'm the first one to help you
Step-by-step explanation:
Answer: I don't know....I'm here for emotional help cuz I'm also struggling in geo rn TwT. I relate to you so yea... Ily and I need more points to ask more questions about geo haha. Supporting you tho
Answer:
The surface area is 259.94 and the volume is 149.81
Step-by-step explanation:
Jaden collected 9 of the 12 hidden treasures in his video game. Write as a decimal.
Answer:
0.75
Step-by-step explanation:
9/12 equals 3/4 which is 0.75
Answer:
0.75
Step-by-step explanation:
First, you would need to convert it to a fraction for it says "of the", which is one of the key words to a fraction.
In fraction form it would look like this:
9/12
Now, if you remember, fractions are actually division; meaning this problem is also 9 divided by 12. So let's do that!
9 divided by 12 = 0.75.
You can also simplify the fraction; 9/12 is the same as 3/4, and you should know that 3/4 is the same as 0.75
Imagine that you are eating at a restaurant with your friends. You and your best friend, Arabella, are seated at opposite ends of a large table, and
Arabella orders first. The probability that both you and Arabella end up ordering vegetable soup is in simpler terms, if the probability that you
order vegetable soup is P(A), and the probability that Arabella orders vegetable soup is PB), then is the probability of A and 8, or P(A and B).
The probability that you order vegetable soup given that you know that Arabella has ordered its P(
A B) = What is the probability that
Arabella orders vegetable soup?
Answer:
3/4
Step-by-step explanation:
Answer:
P(A | B) = P(A and B)/P(B)
1/3 = (1/3)/P(B)
P(B)=3/4
Step-by-step explanation:
EDMENTUM
PLEASE I NEED THE ANSWER QUICKLY BEING TIMED!!! 20 MINUTES LEFT
Answer:
Step-by-step explanation:
B) 360 in²
3 rectangles + 2 triangles
(10×12) + (10×13) + (10×5) + 2(½×12×5)
= 120 + 130 + 50 + 60
= 360 in²
What type of number is 0.25 over -0.25 whole number, intiger rational, irrational
[tex]\frac{0.25}{-0.25}[/tex] simplified will give us -1.
It's not a whole number, because it's negative. It isn't irrational because there is a determined answer. While it is rational, it more fits into integer - which is a less broad scope than rational.
Punkt p (1;2k+1) należy do wykresu funkcji f(x)=-4x2+7. Oblicz k
Answer:
k = 1
Step-by-step explanation:
English Translation
Find k if the point P (-1, 2k + 1) belongs to the graph of the function f (x) = - 4x^2 + 7.
The function is given as
y = f(x) = -4x² + 7
and point (-1, 2k+1) lies on the graph.
This point means that, at x = -1, y = 2k+1
y = -4x² + 7
Substituting the values in
2k + 1 = -4(-1)² + 7
2k + 1 = -4 + 7 = 3
2k = 3 - 1
2k = 2
k = 1
Hence, the point (-1, 2k+1) is (-1, 3)
To check,
y = -4x² + 7
3 = -4(-1)² + 7
3 = -4 + 7
3 = 3
So, this is truly correct.
Hope this Helps!!!
What is not always true about 2 regular pentagons
Answer:
b
Step-by-step explanation:
The two regular pentagons could be differnt sizes, so they are not all congruent hope this helps :)
TV
A frog is sitting on the ground when he is scared by a big dog. His movement is modeled by
the equation h = -6t2 + 6t where h is the frog's height at any given time, t. How many
seconds until the frog is back on the ground?
2 seconds
1.5 seconds
3 seconds
1 second
0.5 seconds
Answer:
Step-by-step explanation:
Model of the frog jump is
h = -6t² + 6t
When will the frog be on the ground? The frog will be on the ground at h=0
Therefore,
0 = -6t² + 6t
Divide through by 6
0 = -t² + t
0 = t(-t + 1)
So, t = 0 OR. 0 = -t + 1
So, t = 0. OR. t = 1
So, we should note that, at t = 0, was when he wanted to lift of from the ground... So, t = 0 will be discarded
So, at t = 1 is when the frog is back to the ground.
It is like it starts from the ground at the 0 seconds and get backs to the ground at 1 seconds
I hope this helps!!!
A square box is 9 cm tall if you fill it 1/3 with water how much water did you use?
Answer:
3 cm
Step-by-step explanation:
Because 9 divided in 3 is 3 and if you used 1/3 it’s 3cm
Which of the following are perfect powers?
W
24
27
081
99
100
Answer:
81 and 100
Step-by-step explanation:
9 x 9 = 81
and...
10 x 10 = 100!
The others doesn't match the rules stated-
3 x 8 = 24, 2 x 12 = 24, 4 x 6 = 24, but no number that are the same multiply together to equal 24(that's also an integer)
All the others are the same way-
Hope this helps!
Answer: 27, 81, 100
Those are the answers.
115.9 rounded to the nearest hundred
Answer:
100
Step-by-step explanation:
Answer:
100
Step-by-step explanation:
115.9 is closer to 100 then it is to 200, so round down to 100
What is the area of a circle with a radius of 21 cm?
Answer:
441[tex]\pi[/tex]
Step-by-step explanation:
Please help!!! I NEED HELP!
A triangular pyramid has a triangular base with a height of 4 inches and a base length of 7 inches. The height of the pyramid is 6 inches. What is the volume of the pyramid in cubic inches?
(Recall the formula V = one-third B h.)
A. 14
B. 56
C. 28
D. 42
Answer:
the answer is 28
Step-by-step explanation:
i guessed ngl
Answer:
Bb 2ent option 28
Step-by-step explanation:
What statements are correct? Check all that apply.
The conditional probability formula is P(
X
Y) = Pan
PO
The conditional probabilities P(
D N) and P(N | D) are equal for any events D and N.
The notation P(
R S) indicates the probability of event R, given that event S has already occurred.
Conditional probability applies only to independent events.
Conditional probabilities can be calculated using a Venn diagram
Answer:
a,c and e are right on edge