PLEASE HELP
A circular garden will have grass planted around a triangular region of flowers as shown in the diagram below. How many square feet will be covered in grass? Round to the nearest square foot.
1,858 ft 2
9,888 ft 2
1,291 ft 2
1,966 ft 2
Answers
Answer:
Option (4)
Step-by-step explanation:
From the picture attached,
ΔABC is a right triangle.
Since, inscribed angle in a semicircle is always a right angle, Hypotenuse AC will be the diameter of the circle.
Length of diameter AC = 58 ft
Radius of the circle = [tex]\frac{58}{2}=29[/tex] ft
Area of the circular garden = πr² [r = radius of the circle]
= π(29)²
= 2642.08 ft²
Area of the right triangle = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}(27)(50)[/tex]
= 675 ft²
Area of the of the region covered with grass = Area of the circular garden - Area of the right triangle
= 2642.08 - 675
= 1967.08 ft²
≈ 1966 [Nearest value]
Option (4) will be the answer.
Related Questions
Solve the following inequalities and sketch a
graph of each solution.
a 7 - 2x 54
b 4r + 16x - 8
c-3x + 5 > 0
Answers
Answer:
Step-by-step explanation:
A= - 101
B = 4( r + 4x - 2 )
C = x < 5/3
I hope this helps. Best of luck.
Calculate the volume of the following shape.
8cm
20cm

Answers
Answer:
Volume of Cylinder =
[tex]\pi {r}^{2} h[/tex]
So :
Step-by-step explanation:
[tex]volume = 3.14 \times ( {8}^{2} ) \times 20 = 3.14 \times 64 \times 20 = 4019.2[/tex]
Answer:
Volume = 4021.24 cm ^3
Step-by-step explanation:
V = πr2h = π·82·20 = 4021.2386 cm ^3
Kaitlyn loves to read. She reads 90 pages in half an hour. How many pages does she read per minute?
Answers
Answer:
3 pages/minute
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
a hour is 60 minutes so half of that is 30 30÷90=3
how do I find the value of x in 6 / x + is equal to 9/3
Answers
Answer:
its 2
Step-by-step explanation:
9/3 = 3
6/x has to = 3
thus x= 2
6/2= 3
you answered 6 out of 11 questions on your test. what is your score?
Answers
Answer:
54
Step-by-step explanation:
.......................
Answer:
54
Step-by-step explanation:
What is x in the equation 5^{3-2x} = 5^{-x}
A) x = 3
B) x = 1
C) x = -1
D) x = -3
Answers
Answer:
The answer is A) x equals 3
ASAP like now I need help!!!!
Answers
Answer:
(5x + 40), (7x + 8), (10x)
Step-by-step explanation:
Ok, I'm not completely sure, I'm taking a bullet here. But lemme know what you get
What is the answer of this q ❓
Answers
Answer:
68Step-by-step explanation:
lets mijdkdefbdhnrr
confused with preimeter
Answers
To find the perimeter of a shape, you need to add up the measurements of all the sides to find it. I hope this helps. Let me know if you need some help with some perimeter problems :)
A school purchases a used van that costs $10,000. The value, V(t), in dollars, of the van t years since its purchase is modeled by the exponential function V(t)=10,000(0.8)^t . Select ALL statements that are true regarding the value of the van. a.The value of the van decreases by 20% each year since its purchase. b.The value of the van decreases by 80% each year since its purchase. c.The value of the van decreases by $2,000 each year since its purchase. d.Each year since its purchase, the value of the van is 80% of the value of the previous year. e.Each year since its purchase, the value of the van is 0.8 times the value of the previous year.
Answers
Answer:
a.The value of the van decreases by 20% each year since its purchase.
b.The value of the van decreases by 80% each year since its purchase.
d.Each year since its purchase, the value of the van is 80% of the value of the previous year.
Step-by-step explanation:
From the above question, we are given the Exponential function
V(t)=10,000(0.8)^t
Verifying the given options:
a.The value of the van decreases by 20% each year since its purchase.
Option a is correct , this is because, the Exponential function above is and Exponential Decrease.
The formula is given as:
V(t) = 10000(1 - r) ^t
Where r = Decreasing rate
Comparing
= 1 - r = 0.8
= 1 - 0.8 = r
r = 0.2
Converting to percentage
= 0.2 × 100 = 20%
Option a is correct
b.The value of the van decreases by 80% each year since its purchase.
Let solve for t = 1 and t = 2
V(t) = 10000(0.8) ^t
When t = 1
= 10000× 0.8¹
= 8000
When t = 2
= 10000× 0.8²
= 6400
Confirming option d
For year 2
= 80% × year 1
Year 1 = 8000
= 80% × 8000 = 6400
Option b is correct
c.The value of the van decreases by $2,000 each year since its purchase.
Option C is incorrect
d.Each year since its purchase, the value of the van is 80% of the value of the previous year.
Option d is correct because
Let solve for t = 1 and t = 2
V(t) = 10000(0.8) ^t
When t = 1
= 10000× 0.8¹
= 8000
When t = 2
= 10000× 0.8²
= 6400
Confirming option d
For year 2
= 80% × year 1
Year 1 = 8000
= 80% × 8000 = 6400
Option d is correct
e.Each year since its purchase, the value of the van is 0.8 times the value of the previous year.
Option e is incorrect
From the options given in the question, the correct statements are,
Options a, b, and d.
how can you round 0.234 to the nearest hundredth?
Answers
Answer:
0.23 or 0.230
Step-by-step explanation:
You can round it by looking at the hundredths place.
Look to the thousandths place, if its 5 or more, you round up, if its 4 or less you round down.
Answer:
the way that you do this is
Step-by-step explanation:
so the number goes from 0 as in the whole number and then the decimal indicates that the whole number getting separated by a whole bunch of other numbers which go by smaller factors they go from ten hundred thousand and so forth so for this equation you have 0.234 the hundreds is the three the reason why is because the two is the tenths and the four is the thousands the reason why it's the thousands is because there's four numbers in the entire number. so that number (0.234) would be 0.23 rounded to the nearest hundreth because the 4 is less than 5 which makes the number go lower. If it was 0.238 then the answer would now be 0.24 because it's higher then 5. please give me brainliest.
A 2-meter street sign casts a 3-meter shadow. At the same time, an 8.2 meter
Aelephone pole casts a shadow. How long is the telephone pole's shadow?
Answers
Answer: 5.46
Step-by-step explanation: 2x8.2 / 3
Mindy needs to rake a rectangular part of her yard that is 9 feet by 8 feet. It takes her 10 minutes to rake an area that is 12 feet square. How long will it take Mindy to rake the rectangular part of her yard?
Answers
Answer:
60 minutes
Step-by-step explanation:
Time taken to rake 12ft² = 10 minutes
Area of Mindy's rectangular path :
Area of rectangle = Length * Width
Dimension of Mindy's rectangular path = 9ft by 8ft
Area = 9ft * 8ft
Area = 72ft²
Hence, it will take Mindy;
(Area of Mindy's path / 12 ft) * time taken
(72ft² / 12ft²) * 10 minutes
6 * 10 = 60 minutes
1,100÷22. I know the answer but I am kinda struggling on how that is possible I checked it on paper but I got the wrong answer every time so could you please explain it to me.
Answers
Answer:
50 is the answer to this question
Answer:
50
Step-by-step explanation:
Well, you're having trouble with how it's supposed to be 50 right? So I suggest breaking it down a little bit.
As you see:
1100 ÷ 22
1100 and 22 are both divisible by 2 so if we divide both numbers by 2 you get:
550 ÷ 11
now try solving from there!!
If you still don't get it here:
firstly 11 goes into 5 zero times so put nothing
next does 11 go into 55? Yes! it does so how many times does it go into 55?
well let's see: 11 + 11 + 11 + 11 + 11 = 55
now if we count how many 11s there are there is 5! so then you put:
5_
now lets see the next number is 0 and does 11 go into 0? Nope! so we just put:
50 and that is your answer!!
What is the probability that a number selected from the numbers (1, 2, 3,........,15) is a
multiple of 4?
Answers
P(multiple of 4) = 3/15 = 1/5
Tori bought 24 candy bars for 69 cents each. She used partial products to find the total cost in cents. Which are NOT possible partial products for 24 × 69?
Answers
Answer:
Options A, B, C and D
Step-by-step explanation:
This question is not complete; here is the complete question.
Tori bought 24 candy bars for 69 cents each. She used partial products to find the total cost in cents. Which are NOT possible partial products for 24 × 69?
A. 24
B. 36
C. 180
D. 240
E. 1656
Cost of one candy = 69 cents
Since, cost of 24 candies = Cost of one candy × Number of candies
= 69 × 24
For partial product,
69 × 24 = (60 + 9)(20 + 4)
= 60(20 + 4) + 9(20 + 4)
= 60×20 + 60×4 + 9×20 + 9×4
= 1200 + 240 + 180 + 36
= 1656
Therefore, Options A, B, C and D are not possible partial products.
The regular price of a skateboard is p. Which expression represents the price of the skateboard when it is on sale for 25% off? Select all that apply.
Answers
Answer: The expression represents the price of the skateboard when it is on sale for 25% off = 0.75p
Step-by-step explanation:
Given: Regular price of a skateboard is p.
Discount = 25% off = 0.25p
Now, the price of the skateboard when it is on sale for 25% off = p - Discount
= p -0.25p
= (1-0.25)p
= 0.75p
Hence, the expression represents the price of the skateboard when it is on sale for 25% off = 0.75p
Answer: The expression represents the price of the skateboard when it is on sale for 25% off = 0.75p
Step-by-step explanation:
Simplify (4/5)^-2. Show your work!
PLEASE HELP ASAP! 40 POINTS!
Answers
Answer: (16/25)
Step-by-step explanation: That's -(4/5) x -(4/5) = (16/25). It's that answer because a negative times a negative equals a positive. The exponent in the problem is telling you to multiply -4/5 times itself 2 times.
Find the slope and the y-intercept of the line.
5x - 4y= -8
Write your answers in simplest form.
Answers
Answer: The slope is 5/4 and the y intercept will be 2
Step-by-step explanation:
First convert the equation to slope intercept form ( y = mx+b) where m will be the slope and b will be the y intercept.
5x - 4y = -8 Subtract 5x from both sides
-5x -5x
-4y = -5x - 8 Divide both sides by -5
y = 5/4x + 2
Find the x- and y-intercepts of 4x-9y=-12
Answers
Y-int (0,4/3)
Solve k−7≤0. Graph the solution
Answers
Answer:
k ≤ 7
Step-by-step explanation:
what is the anser to the equation 2^{2x+2} = 2^{3x}
A) x = 2.5
B) x = 1
C) x = 2
D) x = -2
Answers
Answer: C) x = 2
2^{2x + 2} = 2^{3x}
Since both terms (above) have the same base, set the exponents to be equal:
2x + 2 = 3x (Rearrange to solve for x)
x = 2
∴ x = 2
What are the zeroes of P(x) = x3 – 6x2 - x +62
Answers
Answer:
x = 6
x = -1
x = 1
Step-by-step explanation:
Given:
Correct equation;
P(x) = x³ - 6x² - x + 6
Computation:
x³ - 6x² - x + 6
x²(x-6)-1(x-6)
(x-6)(x²-1)
we know that;
a²-b² = (a+b)(a-b)
So,
(x-6)(x²-1)
(x-6)(x+1)(x-1)
So,
zeroes are;
x = 6
x = -1
x = 1
Austin Moore has been working in a factory for 28 years. He is preparing to retire. His pension is calculated on the average of his last 3 years’ salaries where he earned $48,592, $47,590, and $47,710. His employer will give him 1.8% of that average for each year he worked. Calculate his pension.
Answers
Answer:24,173.856
Step-by-step explanation: you calculate the average of the last 3 years then find 1.8% of that number and then multiple by 28 years to find his total pension
Answer:
★ The answer is 24,173.856
Step-by-step explanation:
Hope you have a great day
You have performed very well on your new job. Without even requesting it your boss gave you a $2.50 raise. If your previous wage was $6.25, what was the percent increase of your raise?
Answers
Answer:
40%
Step-by-step explanation:
$6.25/100=0.0625
$2.50/0.0625=40
so your wage increased by 40%
Round your answer to the nearest tenth.
Answers
Answer:
The value of MB = 8.4
Step-by-step explanation:
We know that the point of intersection of the Medians of a triangle is called the centroid of a triangle.
Thus,
For the given triangle ΔJKL,
The point M is the centroid of the triangle.We also know that the centroid is 2/3 of the distance from each vertex to the midpoint of the opposite side.
Also, each Median is split into two parts such that the longer part is 2 times the length of the smaller part.
In our case,
The median KB is split into two parts such that the longer part KM is 2 times the length of the smaller part MB.
i.e.
KM = 2 MB
Given KM = 16.8
so substitute KM = 16.8 in the equation KM = 2 MB
16.8 = 2 MB
MB = 16.8/2
MB = 8.4
Therefore, the value of MB = 8.4
or false if that was worried and simplify to say it was a slave through his own curiosity and I was worried because of the fact I have had been working in my last three months but the following x are the
. A girl pushes herself up a steep ramp in her
wheelchair. She gains a vertical distance of
25.8 m when she reaches the top of the ramp.
She turns around and coasts back down the ramp.
If the combined mass of the girl and her wheelchair
is 64.6 kg, what would be her coasting speed at the
bottom of the ramp? Show all your work.
Answers
Answer:
32 Joule by 21 secs
Step-by-step explanation:
I hope that's the correct answer. Best of luck
How many 3 or 8 are in 5 over 4
Please help
Answers
Answer:
[tex]3 \frac{1}{3}[/tex]
Hope this helps.
Step-by-step explanation:
Find the area of the shaded region. Round your answer to the nearest hundredth.
6 m
IT T
24 m
The area is about
square meters
Answers
The area of the shaded region in the circle to the nearest hundredth is 1695.60 meter squared.
Area of a circle
area = πr²
where
r = radius of the circleThe area of the shaded portion is the difference of the area of the large and small circle.
Therefore,
area of the large circle = πr²
area of the large circle = 3.14 × 24²
area of the large circle = 3.14 × 576
area of the large circle = 1808.64 m²
Therefore,
area of the small circle = 3.14 × 6²
area of the small circle = 3.14 × 36
area of the small circle = 113.04 m²
The area of the shaded region = 1808.64 - 113.04 = 1695.6 m²
learn more on area here: https://brainly.com/question/16761235
Please help 30 points
The number of lattes sold daily by two coffee shops is shown in the table.
Shop A Shop B
55 45
52 42
56 57
48 48
57 11
30 10
45 46
41 43
Based on these data, is it better to describe the centers of distribution in terms of the mean or the median? Explain.
Mean for both coffee shops because the data distribution is symmetric
Median for both coffee shops because the data distribution is not symmetric
Mean for shop B because the data distribution is symmetric; median for shop A because the data distribution is not symmetric
Mean for shop A because the data distribution is symmetric; median for shop B because the data distribution is not symmetric
Answers
Answer: correct option is mean for shop A because the data distribution is symmetric; median for shop B because the data distribution is not symmetric
Step-by-step explanation:
According to the given data the correct statement is Mean for shop A because the data distribution is symmetric; median for shop B because the data distribution is not symmetric.
Note that the two values of Shop B (10 and 11) are alot lower than the other values.
Thus the correct option is Mean for shop A and Median for shop B.
