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
y = 2x - 1
y=-3x + 4
Solve the following system of equations for x
Answers
Answer:
x = 1
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityAlgebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
y = 2x - 1
y = -3x + 4
Step 2: Solve for x
Substitution
Substitute in y: 2x - 1 = -3x + 4Add 3x on both sides: 5x - 1 = 4Add 1 to both sides: 5x = 5Divide 5 on both sides: x = 1Answer:
[tex]y = 2x - 1 \: and \: y = - 3x + 4 \\replacing \: the \: value \: of \: y, \: we \: get \\ 2x - 1 = - 3x + 4 \\ 5x = 5 \\ \boxed{x = 1}[/tex]
x= 1 is the right answer.!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!JJ
Answers
Answer:
its
Step-by-step explanation:
i cant explane
a person can pay 14$ for a membership to the science museum and then go to the mesum for just 1$ per visit what is the maxium number of visits a member of the science museum can make for the total cost of 43$
Answers
Answer:
I think 43 visits
Step-by-step explanation:
I hope this helps you and I hope this is right and have a wonderful day:)
Hello! I won't give you the answer but I'll show you an example to a similar question like that!
Okay, so what if: a person can pay $6 for a membership to the art museum and then go to the museum for just $1 per visit. what is the maximum number of the art museum can make for a total cost of $18?
An easy way to solve this is to make an equation.
Let's call the number of times we can visit "x".
So, we pay $6 off the bat, and then pay $1 per visit after.
6+1x
That's the cost associated with visiting "x" number of times, now, we need to know how many times we can visit for 18, so we equate the expression to 18.
6+x=18
x=12
We can visit 12 times.
I hope this helps and that now you know the problem is supposed to be solved!
See ya later, pal!
Julien is baking cookies with his mother.
The recipe calls for:
1 ½ cups of flour
2 ⅔ cups of oatmeal
3 ¼ cups of chocolate chips
1 cup of sugar
½ cup of brown sugar
The only measuring cups that Julien can find are ⅛ cup and ⅓ cup. How will he make the cookies?
Answers
Answer:
well quite easily just doing the math
Step-by-step explanation:
Ta -Da
1 1/2 cups of flour = 12/8 cups of flour
2 2/3 cups of oatmeal = 2 2/3 cups of oatmeal
1 cup sugar = 3/3 or 8/8 cups of sugar
1/2 cup of brown sugar = 4/8 cups of brown sugar
i need help this too help me and thank you and thank you
Answers
30 points! See pic attached. Will mark brainliest.
Answers
Answer:
Step-by-step explanation:
i think it a c e i hope this helps :^
answer: D,B,C
Step-by-step explanation:
line A is perpendicular to B and line A and B is parallel to line C
Given g(x)=30-6x, find g(-4)=____?
Answers
Answer:
g(-4)=54
Step-by-step explanation:
g(-4)=30-6(-4)
g(-4)=30+24
g(-4)=54
Pedro drives the same route to work on Monday through Friday. His route includes one traffic light. According to the local traffic department, there is a 55% chance that the light will be red when he arrives at the intersection on a randomly selected workday. Suppose we choose 10 of Pedro's workdays at random and let Y = the number of times that the light is red.
Answers
Answer:
6 days
Step-by-step explanation:
Given
The proportion can be represented as:
[tex]p = 55\%[/tex]
And the number of days can be represented as:
[tex]n = 10[/tex]
Required
Determine the expected number of times, the light is red
To do this, we simply multiply the proportion by the number of days:
[tex]Y = n * p[/tex]
Substitute values for n and p
[tex]Y = 10 * 55\%[/tex]
Convert percentage to decimal
[tex]Y = 10 * 0.55[/tex]
[tex]Y = 5.5[/tex]
Approximate
[tex]Y = 6[/tex]
Hence, the expected number of days is 6 days
Which is 42.364 written with words?
Answers
Kim drives 156 miles from rotherman to London she drives the average speed of 60 miles per hour
Answers
Answer:
2 hours and 36 minutes
Step-by-step explanation:
156/60 hours=2.6 hours. i.e. it takes her 2 hours and 36 minutes to reach from Rotherham to London
Use SUBSTITUTION to solve the system
y=4x
2y-2x=12
Answers
y
=
2
x
−
10
y=2x−10 into
y
=
4
x
−
8
y=4x−8.
2
x
−
10
=
4
x
−
8
2x−10=4x−8
2 Solve for
x
x in
2
x
−
10
=
4
x
−
8
2x−10=4x−8.
x
=
−
1
x=−1
3 Substitute
x
=
−
1
x=−1 into
y
=
2
x
−
10
y=2x−10.
y
=
−
12
y=−12
4 Therefore,
x
=
−
1
y
=
−
12
x=−1
y=−12
Mr. Bradley is building a storage closet. He has four boards that are 9 feet long. He needs to cut boards into 18 inches long. What is the greatest number of 18-inch pieces that Mr. Bradley can cut from the four wooden boards? (1-foot = 12 inches)
PLEASE HELP. And dont answer if you dont know please it just a waste of time. This is a test
Answers
Answer:
The answer would be 6
Plz help!! Meera is researching cruising speeds of different planes. Which airplanes has a greater cruising speed?
Answers
Answer:
The one on the graph
Step-by-step explanation:
For what value of x must ABCD be a parallelogram?
Answers
Answer:
yes it could be
Step-by-step explanation:
Answer:
5x = 6x-7 subtract 6x from each side-x=-7x=7
A company makes Poppy Lapel Pins.
Each of them costs £1.10 to make.
In October it made 1000 lapel pins.
35% of them are given to charities.
The rest are sold in two formats: 60% of them at £3.00 each
40% of them at £5.00 for 2
Assuming that all the lapel pins will be sold by the end of November,
work out the percentage profit the company should make.
Give your answer to 1 decimal place.
Answers
Answer:
1000 less 35% == 650
so 250 given to charity
total cost making the pins was 1000x 1.10 = 1100
so you need to find 60 percent of 650 =390
and 40 percent of 650 = 260
so then you need to find the cost 390 x 3 pounds each so × this and gives you 1170 cost sold for intotal
Then you have 260 ÷2 = 130 x 5 = 650
so you have 650+1170 = 1820 - 1100 cost to make =720 pounds
think this right
write the first four terms of the arithmetic sequence given a1=-3 and d=-2
Answers
2) -5
3) -7
4) -9
Explanation:
Arithmetic Sequence Formula
a(n) = a1 + (a - 1) (d)
a= term position
a(n)= nth term
a1= first term
By leading figure estimation, approximate the value of 5 850÷22
Answers
I need help asap pls
Answers
Answer:
[tex]\displaystyle 36° = m∠NQS[/tex]
Step-by-step explanation:
Apply the Midsegment Theorem:
[tex]\displaystyle \frac{1}{2}[96 - 4x]° = [5x + 6]° → [48 - 2x]° = [5x + 6]° → -42 = -7x; 6 = x \\ \\ [48 - 2(6)]° = [48 - 12]° = 36° \\ \\ AND/OR \\ \\ [5(6) + 6]° = [30 + 6]° = 36°[/tex]
I am joyous to assist you at any time.
Tickets to a play cost $4 in advance and $5 at the door. The theater club president wants to raise at least $400 from the ticket sales. If the club sells 40 tickets in advance, what is the least number of tickets the club needs to sell at the door to reach the president’s goal?
Least number of tickets =
Answers
Answer:
x≥48
Step-by-step explanation:
4×40 = 160
400-160 = 240
240÷5 = 48
Please help me lol!!!!!!
Answers
Answer:
A
Step-by-step explanation:
how i solve this one
Answers
Answer:
Look at explanation
Step-by-step explanation:
3x - y = 14
-3 -3
x=11
-------------------------------------------------
5x + 4y = 12
9xy=12
-9 -9
xy=3
x=1.5 y=1.5
--------------------------------------------------------
total= 14
Sorry if wrong btw
(2x - 5), (2 +30), and (2x – 5)
Solve for x
Answers
I WILL GIVE YOU BRAINLIEST JUST PLEASE HELP ME WITH THIS PROBLEM
Answers
Answer:
answer
Step-by-step explanation:
yes!
.............
Answer:
yes
if it's helpful ❤❤❤
THANK YOU
If you could help I would really appreciate it, but if not that’s fine. Thank you.
Answers
x=5
so 5 is the answer!
help me out with this so confused
Answers
Answer:
The answer is 3.
Step-by-step explanation:
A rational number means the number can be written as a fraction of two integers. [tex]5\sqrt{9}[/tex]=5*3=15, so it is the only rational number. The other answers cannot be written as a fraction of two integers.
Simplify: - 7a + 8 + 5a
Answers
Answer:
it is -2a+8 your welcome
Hope this helps ^W^
If the simple interest on $2000 for 10 years is $,1000 then what is the interest rate?
Answers
[tex] \bf \underline{Given :}[/tex]
[tex] \sf{• \: Principal \: (P) = \$ \: 2000}
[/tex]
[tex] \sf{• \: Simple \: Interest \: (I) = \$ \: 1000}
[/tex]
[tex] \sf{• \: Time \: (T) = 10 \: years}[/tex]
[tex] \sf{• \: Interest \: Rate \: (R) = \: ?}[/tex]
[tex] \bf \underline{Solution:-}[/tex]
[tex] \sf {We \: know \: that, }[/tex]
[tex]\bf \red{\bigstar{ \: I = PRT}}[/tex]
[tex] \sf{⟹1000 = 2000 \times \frac{R}{100} \times 10 }[/tex]
[tex] \sf{⟹1000 = \frac{R}{100} \times 20000}[/tex]
[tex] \sf{⟹ \frac{R}{100} = \frac{1000}{20000} }[/tex]
[tex] \sf{⟹R = \frac{1}{20} \times 100 }[/tex]
[tex] \sf⟹ R = 5[/tex]
[tex] \pink{\bf{Hence, \: the \: interest \: rate \: is \: 5 \: \%. }}[/tex]
describe the horizontal and/or vertical shifts used to transform the equation y=|x| to the equation y=|x|+4
Answers
Tell whether the equation has one solution, no solution, or infinitely many solutions. 3x - 7 = 3(x - 3) + 2
Answers
Answer:3x-7=3(x-3)+2
3x-7=3x-9+2
3x-7=3x-7
Group like terms
3x-3x=-7+7
0=0
Step-by-step explanation: the above calculations implies that, the equation has no solution, since all the unknown variables also vanish to zero.
pls help me with this question i’ll be giving a brainliest to the person with the correct answer
Answers
Answer:
i believe it’s the second and third one, not too sure about the first
Step-by-step explanation: