27
The diagram shows a right-angled triangle and a quarter circle.
D
9 m
А
6 m
B.
The right-angled triangle ABC has angle ABC = 90°
The quarter circle has centre C and radius CB.
Work out the area of the quarter circle.
Give your answer correct to 3 significant figures.
You must show all your working.
Answers
Answer:
A ≈ 35.3 units²
Step-by-step explanation:
Calculate the radius CB using Pythagoras' identity in the right triangle.
CB² + AB² = AC²
CB² + 6² = 9²
CB² + 36 = 81 ( subtract 36 from both sides )
CB² = 45 = r²
Then area of quarter circle is
A = [tex]\frac{1}{4}[/tex] × πr² = [tex]\frac{1}{4}[/tex] × π × 45 ≈ 35.3
Related Questions
What are the midline, amplitude, and period of this function?
у
2
1.5
1
0.5
х
-21
-11
0
2n
-O
-1
-1.5
-2
-2.5
-3
-3.5
-4
The midline is y =
The amplitude is
The period is
7T
Answers
The midline is y = -2, the amplitude is 1.5, and the period is 4π if the because function completes one revolution in 4π.
What is a function?It is defined as a special type of relationship and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
From the graph:
The midline is the horizontal line about which the graph of a function oscillates
y = -2
The amplitude is the half vertical distance the function travels around the midline.
Amplitude = 1.5
The period: the distance traveled to complete the one rotation:
Period = 4π
Thus, the midline is y = -2, the amplitude is 1.5, and the period is 4π if the because function completes one revolution in 4π
Learn more about the function here:
brainly.com/question/5245372
#SPJ2
Answer:
Step-by-step explanation:
Period
Readiness TEKS 9.C, 9.D
6. Omar takes out a college loan for $28,000 to cover his
expenses for tuition, books, room, and housing. According to the
terms of the loan, he won't have to make payments for six years,
but the loan will continue to compound interest annually at 11%.
The table below shows the amount of the loan he owes assuming
he make no payments during the six years.
Number of Years
1
2
3
4
5
6
Loan Amount Owed
$28,000.00
$31,080.00
$34,498.80
$38,293.67
$42,505.97
$47,181.63
$52,373.61
Which function represents the amount of the loan owed in relation
to the number of years, x?
A. f(x) = 28,000(1.11)*
B. f(x) = 28,000(0.11)
C. f(x) = 28,000(11)*
D. f(x) = 28,000 + 1.11%
Answers
The answer is B
Anthony's hourly rate increased from $16.00 to $20.90 in January 2019. Find the
percent change in her hourly rate.
Answers
Answer:
30.6%
Step-by-step explanation:
Use the rule of three
someone please help me answer this
Answers
Answer:
7 17/100
Step-by-step explanation:
Answer: I think it’s 7 17/100
Step-by-step explanation:
Need help asap please help me.
Answers
Answer:
the speed of the swimmer increased as the time went up ,the swimmer speed decreased as the time was up
Step-by-step explanation:
help me pls i will give brainly if ur correct
Answers
Answer:
11
Step-by-step explanation:
Answer:
You'd need atleast 2
Step-by-step explanation:
Theres 5 ppl. Only 3 spots. You need two
>) Which unit is best to use to measure the length of a soccer field? D)) miles inches )) yards centimeters
Answers
The following data describes weekly gross revenue (), television advertising expenditures (), and newspaper advertising expenditures () for Showtime Movie Theaters.
Weekly Gross Revenue Television Newspaper Advertising Advertising
() () ()
95 5.0 1.5
90 2.0 2.0
95 4.0 1.5
92 2.5 2.5
95 3.0 3.3
94 3.5 2.3
94 2.5 4.2
94 3.0 2.5
Required:
Find an estimated regression equation relating weekly gross revenue to television advertising expenditures and newspaper advertising expenditures (to decimals).
Answers
Answer:
Step-by-step explanation:
The hiking trail for Enchanted Rock uses a scale in which 2 centimeters represents 5 kilometers. There are 130 kilometers of hiking trails in the park. How many centimeters of hiking trails are on the map?
Answers
Answer:
rtgw5s
Step-by-step explanation:
HELP PLEASEEEEEE I WILL GIVE YOU BRAINLIEST
Answers
Answer:
Step-by-step explanation:
so brh
Janessa is playing a board game with two friends. Using a single die, one friend rolled a four, and the other friend rolle
a three. Janessa needs to roll a number higher than both friends in order to win the game, and she wants to calculate
her probability of winning.
How many desired outcomes should Janessa use in her probability calculation?
A. 3
B. 6
C. 4
D. 2
Answers
Answer:
D. 2
Step-by-step explanation:
The only possible outcomes that Janessa could possibly calculate would be 5 and 6. This is because a single die has 6 possible outcomes. If Janessa's friends rolled a 3 and a 4, and Janessa needs to roll something higher, then the only higher possible outcomes would be a 5 or a 6. Meaning that Janessa can only use a total of 2 desired outcomes for her to actually win the game.
Answer:
sorry i need more points
Step-by-step explanation:
Please help!
I need the answers for E and F!
Please use the correct theorem! I will give brainliest to the first answer!!!!
Answers
Answer:
wait can you post the questions
Shopping While shopping for clothes, Tracy spent $28 less than 2 times what Daniel spent. Tracy
spent $10. Write and solve an equation to find how much Daniel spent. Let x represent how much
Daniel spent.
The equation that can be used to determine how much Daniel has spent is
Daniel spent $
!WORTH ALL MY POINTS!
ASAP
Answers
Answer:
Daniel spent $ 19.
Step-by-step explanation:
Given that, while shopping for clothes, Tracy spent $28 less than 2 times what Daniel spent, and Tracy spent $ 10, to determine how much Daniel spent the following equation must be performed:
Daniel: X
Tracy: 2X - 28 = 10
2X - 28 = 10
2X = 10 + 28
X = 38/2
X = 19
2x19 - 28 = X
38 - 28 = X
10 = X
So, Daniel spent $ 19.
Question:
Shopping While shopping for clothes, Tracy spent $28 less than 2 times what Daniel spent. Tracy
Shopping While shopping for clothes, Tracy spent $28 less than 2 times what Daniel spent. Tracyspent $10. Write and solve an equation to find how much Daniel spent. Let x represent how much
Shopping While shopping for clothes, Tracy spent $28 less than 2 times what Daniel spent. Tracyspent $10. Write and solve an equation to find how much Daniel spent. Let x represent how muchDaniel spent.
Shopping While shopping for clothes, Tracy spent $28 less than 2 times what Daniel spent. Tracyspent $10. Write and solve an equation to find how much Daniel spent. Let x represent how muchDaniel spent.The equation that can be used to determine how much Daniel has spent is
Shopping While shopping for clothes, Tracy spent $28 less than 2 times what Daniel spent. Tracyspent $10. Write and solve an equation to find how much Daniel spent. Let x represent how muchDaniel spent.The equation that can be used to determine how much Daniel has spent isDaniel spent $
Answer:Daniel $ 19.2/3 x 5/9 as a fraction
Answers
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{\dfrac{2}{3}\times\dfrac{5}{9}}[/tex]
[tex]\mathsf{= \dfrac{2\times5}{3\times9}}[/tex]
[tex]\mathsf{= \dfrac{2 + 2 + 2 + 2 + 2}{3 + 3 + 3 + 3 + 3 + 3 + 3 + 3 + 3}}}}[/tex]
[tex]\mathsf{= \dfrac{4 + 4 + 2}{6 + 6 + 6 + 6 + 3}}[/tex]
[tex]\mathsf{= \dfrac{8 + 2}{12 + 12 + 3}}[/tex]
[tex]\mathsf{= \dfrac{10}{24 + 3}}[/tex]
[tex]\mathsf{= \dfrac{10}{27}}[/tex]
[tex]\huge\textbf{Therefore, your answer should be:}[/tex]
[tex]\huge\boxed{\frak{\dfrac{10}{27}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]Talya is putting up a fence around their rectangular yard. The fence will be 16 yards long and 5 yards wide.
Answers
Answer:
80 yards2
Step-by-step explanation:
Area = l × w
= 16 × 5
= 80 yards2
please help me in this Q
Answers
9514 1404 393
Answer:
(a) (2x +36)° +(3x +14)° = 90°
(b) ∠C = 38°; ∠D = 52°; ∠E = 90°
Step-by-step explanation:
(a) Two acute angles are marked in a right triangle. We know the sum of angles in a triangle is 180°, so if one of those angles is 90°, the sum of the other two angles must be 90°. We can use that fact to write and equation for x.
(2x +36)° +(3x +14)° = 90°
__
(b) We can collect terms, subtract 50 and ...
5x +50 = 90 . . . . . . . collect terms, divide by °
5x = 40 . . . . . . . . . . subtract 50
x = 8 . . . . . . . . . .. divide by 5
∠C = (3x +14)° = (3·8 +14)° = 38°
∠D = (2x +36)° = (2·8 +36)° = 52°
∠E = 90°
_____
Angle E is marked as a right angle by the little square in that corner. The measure of a right angle is 90°, by definition.
The price of an item is p dollars. The store owner decides to mark this price up by 35%. Which expression correctly describes the new price? A 0.35 B 35p C p+0.35 D p+35p
Answers
If the height of a cylinder is tripled, but the area of the base stays the same, what happens to the volume? The volume is four times greater. The volume triples. The volume is nine times greater. The volume doubles.
Answers
Answer:
I gotchu
Step-by-step explanation:
The volume triples
Odysyware
Answer:
The volume triples
Step-by-step explanation:
i got 100% on quiz for odysseywa
Find the area of the figure shown.
6
8
20
Answers
Answer:
960? i dont see what shape ur talking abt
Step-by-step explanation:
Find the quotient. 492 ÷ 4 = ? HELP PLEASE
Answers
Answer:
123
Step-by-step explanation:
492 divided by four equals 123
what is the volume of this rectangular prism 5/4×5/3×5/2
Answers
Answer:
the answer is one!
Step-by-step explanation:
Answer:
answer: 125/24 cm3
volume= 5/3*5/2*5/4 cm3
=125/24 cm3
Please help..........
Answers
Answer:
210 degrees
Step-by-step explanation:
This question involves the unit circle. The unit circle is generally something you need to memorize, but if you can remember one quadrant you can just change the signs to apply it to other quadrants. In this case, when sinθ = -1/2, θ is 7π/6, which is equal to 210° (remember that π is equal to 180°)
2x+6y=6 has to be solved by elimination
-2x+y=8 has to be solved by elimination
Answers
Answer:
2x - 2x + 6y + y = 6 + 8
7y = 14
y = 2
2x + 6(2) = 6
2x + 12 = 6
2x = -6
x = -3
Answer:
X=-3, y=2
Step-by-step explanation:
When Janelle was born, her grandmother put $200 into a college savings account for her. Each month, her grandmother adds $50 to the account. Which inequality can be used to find m, the number of months it will take for Janelle’s savings account to have more than $1,250 in savings?
Answers
a farmer hires 110 workers to harvest apples from his trees.it takes the 12 days to harvest the farmers entire crop.how long does it take for 440 farmers to harvest the crop
Answers
Answer:
110 = 12
110 + 110 + 110 + 110 = 440
so 110 × 4 = 440
4 × 12 = 48 days
hope this helps
Can someone please explain to me how to do this
Answers
Answer:
-7
Step-by-step explanation:
-9(x+3)=36
-9x-27=36
-9x=36+27
-9x=63
-9x/9=63/9
x=-7
Simplify :
4a(6) + 3a
1. 24 a2 + 3 a
2. 13 a
3. 27 a
4. 27 a2
Answers
Answer:
Hi! The answer to your question is 3. 27a
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☆Brainliest is greatly appreciated!☆
Hope this helps!!
- Brooklynn Deka
Answer:
3
Step-by-step explanation:
Bodmas brakets first
Take out Common factor
Multiple
87 times a number minus 8
is equal to -42 less than the number
Answers
Answer:
-17/44
Step-by-step explanation:
87n - 8 = -42 - n
88n = -34
n = -34/88
n = -17/44
Jenny walked a total of 15.6 miles in 3 days. She walked the same distance
each day. PART B: How many total miles would Jenny walk if she continued
to walk the same number of miles each day for 7 days?
Answers
Answer: 36.4
Explanation:
First, you have to find how much she walked in one day(15.6/3)
which is 5.2. Then, multiply 5.2 by 7 and you get 36.4.
using y =4x^2 +5x -21 find the actual slope of the curve at x = 2
Answers
Answer:
Step-by-step explanation:
[tex]\frac{dy}{dx} =4 \times 2x+5=8x+5\\at ~x=2,\frac{dy}{dx} =8(2)+5=21\\slope~of~curve~at~x=2 =21[/tex]