Answer:
12.5%
Step-by-step explanation:
This is the architectural plan for a fenced-in garden.
The shaded region represents an area for trees.
How long is the fence around the edge of the garden?
(Do not include the edge around the tree region.)
The fence around the edge of the garden is 17.86 m long.
The fence around the edge of the garden is the perimeter of the quarter circle. That is the length of the arc plus the two radii.
Since the radius is 5 units long, its length r = 5 m.
The length of the arc L = rθ where r = radius of quarter circle = 5 m and θ = angle subtended by the arc in radians = π/2 (90°)
So, the length of the fence L' = L + r + r
L' = L + 2r
L' = rθ + 2r
L' = r(θ + 2)
Substituting the values of the varaibles into the equation, we have
L' = r(θ + 2)
L' = 5 m(π/2 + 2)
L' = 5 m(1.571 + 2)
L' = 5 m × 3.571
L' = 17.855 m
L' ≅ 17.86 m
So, the fence around the edge of the garden is 17.86 m long.
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2950 divided by 67 in partial quotints
Answer:
Math answers to fraction 2950 divided by 67 can be calculated as follows.
2950/67 math problems division = 44.0298507463. Therefore 44.0298507463 to 2 decimal places= 44.03
2950/67 divided by 2 » (2950/67) ÷ 2 » 44.0298507463 ÷ 2 = 22.0149253731 . Check 2950/67 long division below
Step-by-step explanation:
if there was a group of ten people the probability of two of them being born on the same day of the same week is 1? is this correct yes or no explain you answer.
Answer:yes
Step-by-step explanation:
Im not that good but if there is a birth rate of 1000 people per day then if you estimate that awnser you have a possibility of 60%
Evaluate this function: h(t) = |t+2| + 3; Find h(6)
Answer:
Step-by-step explanation:
h(6) = |6 + 2| + 3 = |8| + 3 = 8 + 3 = 11
Prove <5 is supplementary to <6 using theorems.
Answer:
Theorem 10.5: If two parallel lines are cut by a transversal, then the exterior angles on the same side of the transversal are supplementary angles.
PLEASE HELPPP!! I need help with both questions
9514 1404 393
Answer:
borrow: $21,056.60interest: $1,983.40Step-by-step explanation:
The relation between the monthly payment (A) and the principal borrowed (P) is ...
A = P(r/12)/(1 -(1 +r/12)^-n)
where the annual interest rate is r and n is the number of monthly payments.
Then the principal P can be found as ...
P = $384(12/0.036)(1 -(1 +0.036/12)^-60) ≈ $21,056.60 . . . loan amount
The sum of payments is ...
$384 × 60 = $23,040.
The difference between the payments made and the loan principal amount is the interest paid:
$23,040.00 -21,056.60 = $1,983.40 . . . total interest
The perimeter of the smallest square is 48 feet. What is the perimeter of the largest square?
Answer:
x > 48
Step-by-step explanation:
There’s nothing told to us or showed to us to answer It So I was only able to answer it with an inequality :(((
sorry if this didn’t help but once again… not enough information :(
What is
[tex] \frac{4}{60} [/tex]
simplified?
Answer:
1/15
Step-by-step explanation:
4/60
Divide the top and bottom by 4
4/4 =1
60/4= 15
1/15
Solve 12x- 6y = 18 for y.
The given equation solved for y as y=2x-3.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The given equation is 12x-6y=18.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
The equation can be solved as follows
6(2x-y)=18
⇒ 2x-y=3
⇒ y=2x-3
Therefore, the given equation solved for y as y=2x-3.
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-15(-4)
pls solve, this is page 237 in 7th grade math book, problem 2
Answer: 60
Step-by-step explanation:
The negatives cancel each other out and you are left with 15 times 4
A construction crew needs to pave a road that is 207 miles long. The crew paves 8 miles of the road each day. The length, L (in miles), that is left to be paved after d days is given by the following function. L(d) = 207–8d Answer the following questions. (a) IF 143 miles of the road is left to be paved, how many days has the crew been paving the road? E 1 days (b) How many miles of the road does the crew have left to pave after 13 days?
Answer:
8: 207
x: 143
and solve that to get your answer
The required answers are-
(a) The crew been paving the road for 8 days.
(b) 103 miles of the road have left for the crew to pave after 13 days.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .
The given equation to pave a road is,
L(d) = 207– 8d
where, length, L (in miles), and d days.
(a) For 143 miles of the road is left to be paved, the number of days is given as-
Put Length L(d) = 143 in the equation to pave a road
we get,
143 = 207– 8d
or, 8d = 207– 143
or, 8d = 64
or, d = 64/8
⇒ d = 8 days
So, The crew have been paving the road for 8 days.
(b) miles of the road have left for the crew to pave after 13 days.
Put d = 13 days in the equation to pave a road
we get,
L(d) = 207– 8*13
or, L(d) = 207– 104
⇒ L(d) = 103 miles
So,103 miles of the road have left for the crew to pave after 13 days.
Thus,The required answers are-
(a) The crew have been paving the road for 8 days.
(b) 103 miles of the road have left for the crew to pave after 13 days.
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How would I write 129.701 in expanded form
Solve equation by applying the distributive property to simplify both sides of the equation if needed
4(w-9)=w+9
Answer:
w=15
Step-by-step explanation:
4w-36=w+9
3w=45
w=15
Answer:
15
Step-by-step explanation:
The distributive property applies to the expression on the left hand side. It means that the multiplication of 4 is distributed to all the terms in the brackets.
[tex]4(w-9) = w + 9\\4w-36 = w + 9\\4w-w = 9 + 36\\3w = 45\\w = 15[/tex]
2x+5y=(-24),3x+y=(-10) solve for using elimination method
Answer:
x equals -2 and y equals−4
At Cheng's Bike Rentals, it costs $24 to rent a bike for 5 hours. How many dollars does it cost per hour of bike use?
Answer: $4.80
Step-by-step explanation:
24/5 = 4.8
$4.80
Question 8 of 10
The blue segment below is a radius of 0. What is the length of the diameter
of the circle?
A. 6.35 units
B. 25.4 units
o
12.7
C. 19.05 units
OD. 12.7 units
Step-by-step explanation:
the diameter is 2 times the radius.
so,
12.7×2 = 25.4
so, B is right.
HELP PLEASE
What is (are) the x intercept(s) of the function graphed above?
-4
-14 and 4.5
-5,1, and 4
-4, -1 and 5
Answer:
-4, -1, and 5
Step-by-step explanation:
1. The x-intercepts of a function is where the function intersects with the x-axis.
2. Given the information above, we can see that the function intersects the x-axis at (-4,0), (-1,0), and (5,0).
This means that the x-intercepts are -4, -1, and 5.1.5a + 6 = 9a + 12
please answer quick i hate math
Answer:
-0.8
Step-by-step explanation:
First move the variable terms to one side of the equal sign. I always move the smallest to the largest.
[tex]1.5a + 6 = 9a + 12 \\ - 1.5a \: \: \: \: \: \: \: \: \ \: - 1.5a[/tex]
Solve and move the constants to opposite side. I'm going to subtract 12 from both sides.
[tex] 6 = 7.5a + 12 \\ - 12 \: \: - 12[/tex]
Now solve for a by dividing both sides by 7.5
[tex] \frac{ - 6}{7.5} = \frac{7.5a}{7.5} [/tex]
[tex]a = - 0.8[/tex]
NOT SURE HELPP... it's a khan academy question
Answer:
36.87
Step-by-step explanation:
Sine rules says:
. sin x = opposite / hypotenuse
We just substitute in the values
. sin x = 3 / 5
. sin x = 0.6
Now we use sin inverse to find the value of the angle
. x = sin^-1(0.6) = 36.87
[tex]\sin \angle A = \dfrac{3}{5} \\\\\implies \angle A = \sin^{-1} \left( \dfrac 35 \right) = 36.87^{\circ}[/tex]
Who is the general information of acounting
Answer:
General accounting essentially refers to general ledger collection and accounting activities that include account charges in credits and debits and documenting financial statements for a quarter, calendar or fiscal year.
If an item is $6.49 for 36 ounces, then it is $
Answer:
0.18
Step-by-step explanation:
Simplify.
1) 448
A) 5V3
C) 12V2
B) 8V
D) 10v2
Answer:
B
Step-by-step explanation:
The square root of 448 rounded up to 6 decimal places is 21.166010. It is the positive solution of the equation x2 = 448. We can express the square root of 448 in its lowest radical form as 8 √7.
Please help me help please please help me please
Answer:
y = 3x + 1 is the answer
Hello there! :)
The slope of this line is 3.
There are lots of ways to calculate the slope.
Here's one of them:
Rise/Run
Here, the rise is 3 (we move up 3 units)
And the run is 1 (we move 1 unit to the right)
3/1=3
So the slope is 3.
Now, the y-intercept is where the graph touches the y-axis.
Here, the y-intercept is 1.
So the equation is
y=3x+1
Hope this helps!
~Just a determined gal
#CarryOnLearning
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[tex]MysteriousNature :)[/tex]
Two angles form a linear pair. The measure of one angle is twice the measure of the other angle. Find the measure of each angle.
The smaller angle measures =?
The larger angle measures =?
Answer:
The smaller angle measures = 60º
The larger angle measures = 120º
Step-by-step explanation:
The sum of angles in linear pair is 180
The measure of one angle is twice the measure of the other angle.
x + 2x = 180
Combine like terms
3x = 180
Divide both sides by 3
x = 60º
2x = 120º
What's the negative reciprocal of 5? Question 12 options: A) 1∕5 B) –5 C) –1∕5 D) 5
Answer:
[tex]\huge\boxed{C)\ -\dfrac{1}{5}}[/tex]
Step-by-step explanation:
The reciprocal of 5: [tex]\dfrac{1}{5}[/tex]
The negative reciprocal of 5: [tex]-\dfrac{1}{5}[/tex]
Assume each choice is random and equally likely. What is the probability that someone gets a bowl of ice cream, with two scoops of vanilla?
Answer:
1/4
Step-by-step explanation:
Solution: as shown in the figure,
2/8 = 1/4
Answer:
3
Step-by-step explanation:
i thing
Fill in the missing
numbers?
?•(-10) = 90
Answer:
?=-9
Step-by-step explanation:
A negative x negative is positive. 90/10=9 and mutiply both by -1. -10x-9=-90
Jacob saw a model of a building that will be built in his city. The model has a height of 40 centimeters and will be built to a scale of 1:50. What is the actual height of the building? (1 m = 100 cm)
Answer:
20 m
Step-by-step explanation:
1/50 = 40/x
Cross multiply.
1 × x = 50 × 40
x = 2000
2000 cm × (1 m)/(100 cm) = 20 m
Answer: 20 m
According to the concept of tragic hero, can we consider the happy prince and the swallow tragic heroes?
Answer:
Both Prince and swallow were alike because both were kind, fully sympathy for the needy and suffering people. Both gave all which was there with them. the swallow gave his own life by carrying out all the errands commanded by the Prince.
Step-by-step explanation:
What is tan(50)?
-.57
5.88
2.36
1.19
Answer:
1.19
Step-by-step explanation:
tan 50 degrees is the value of tangent trigonometric function for an angle equal to 50 degrees .. the value of 50 degrees is approximately 1.1918