Answer:
A = 8.75 cm²
Step-by-step explanation:
Given that,
Radius, r = 5 cm
The arc length, l = 3.5 cm
We need to find the area of a sector. Let [tex]\theta[/tex] be the angle. So,
[tex]\theta=\dfrac{l}{r}\\\\\theta=\dfrac{3.5}{5}\\\\\theta=0.7\ rad[/tex]
The formula for the area of sector when [tex]\theta[/tex] is in radian is given by :
[tex]A=\dfrac{1}{2}\times \theta r^2\\\\A=\dfrac{1}{2}\times 0.7\times 5^2\\\\A=8.75\ cm^2[/tex]
So, the area of the sector is 8.75 cm².
Answer: (b)
Step-by-step explanation:
Given
the radius of circle r=5 cm
arc length [tex]l=3.5\ cm[/tex]
Arc length is also given by
[tex]l=\dfrac{\theta }{360^{\circ}}\times 2\pi r[/tex]
[tex]\Rightarrow 3.5=\dfrac{\theta }{360^{\circ}}\times 2\pi \times 5\\\\\Rightarrow \theta =40.10^{\circ}[/tex]
Area of the sector is given by
[tex]\Rightarrow A=\dfrac{\theta }{360^{\circ}}\times \pi r^2\\\\\Rightarrow A=\dfrac{40.101^{\circ}}{360^{\circ}}\times 3.142\times 5^2\\\\\Rightarrow A=8.749\approx 8.75\ cm^2[/tex]
About 40% of athletes at a gym use a professional trainer. The proportion of successes is when p = 0.4. You choose a random sample of 50 athletes at the gym.
Answer: 0.089
Step-by-step explanation:
Math
A store manager decides to clear out
school supplies to make room for new
inventory. Now a $20 bookbag will be
on sale for only $9. What is the
discount, as a percentage?
A:55%
B:40%
C:45%
D:50%
Answer:
it would be A:55%
Step-by-step explanation
For percent, to make it easier try to turn it into a 100.
20x5=100
do the same to the 9.
9x5=45.
Now subtract 45 from 100.
100-45=55.
There was a discount of 55%.
Kenji walks 44 feet in 10 seconds. At this rate, how many miles does Kenji walk in an hour? Show your work. (1 mile 5 5,280 feet) (make it simple)
Answer:
3 miles
Step-by-step explanation:
1 hour = 3,600 seconds (3,600 ÷ 10 = 360)
360 x 44 = 15,840 Feet
1 mile = 5,280 feet
15,840 feet ÷ 5,280 feet = 3 miles
Kenji walks 3 miles in 1 hour.
Hopefully this helps :3 sorry if wrong :( plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3
-Bee~
Write an algebraic expression that illustrates the additive identity.
Answer:
Step-by-step explanation:
I hope this helped
what is 4 3/4-1/3 or 19/4 -1/3
Answer:
4 and 5/12
Step-by-step explanation:
which is the following is true about the graph of linear inequalities?
a.)it is a line
b.)it is a parabola
c.)it os a curve
d.)it is a half-plane
Answer:
d.) half-plane..
Reason:
A linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality. The boundary line is dashed for > and < and solid for ≤ and ≥. The half-plane that is a solution to the inequality is usually shaded.
help plz
The first four terms of a sequence are shown below:
9, 5, 1, −3
Which of the following functions best defines this sequence?
A.) f(1) = 9, f(n + 1) = f(n) − 4; for n ≥ 1
B.) f(1) = 9, f(n + 1) = f(n) + 4; for n ≥ 1
C.) f(1) = 9, f(n + 1) = f(n) − 5; for n ≥ 1
D.) f(1) = 9, f(n + 1) = f(n) + 5; for n ≥ 1
Answer:
A.) f(1) = 9, f(n + 1) = f(n) − 4; for n ≥ 1
Step-by-step explanation:
The first four terms of a sequence are shown below.
Let
f(1) = 9
f(2) = 5
f(3) = 1
f(4) = -3
Therefore we know that
f(2) - f(1) = 5 - 9
f(2) - f(1) = - 4
f(2) = f(1) - 4
f(3) - f(2) = 1 - 5
f(3) - f(2) = - 4
f(3) = f(2) - 4
f(4) - f(3) = -3 - 1
f(4) - f(3) = - 4
f(4) = f(3) - 4
Hence the answer is A.) f(1) = 9, f(n + 1) = f(n) − 4; for n ≥ 1
A diver jumps off of a diving board and is modeled by the equation d(t)= -16t2 +8t + 30. How long will it take for her to reach the water?
Answer: (1/4,31)
Step-by-step explanation: Use the formula x = − b/2a a to find the maximum and minimum.
5. The recursive formula NEXT = 3. NOW models the number of goldfish in a pond each year. If there are 36 goldfish in the pond after 3 years, how many goldfish will be in the pond after 6 years? A 324 B. 936 c. 972 D. 2,916
Answer:
B
Step-by-step explanation:
A rectangular sheet of metal measures 8 inches by 10 inches. The metal is worth $3.00 per
square inch. How much is the sheet of metal worth?
Answer:
240$$
Step-by-step explanation:
find the area
A=LW
A=8x10
A=80
80x3=240
Type your answer as a mixed number
4 times as much as the sum of 1/5 and 2/3
Answer: 3 7/15
Step-by-step explanation: You first do 1 /5 plus 2/3.But they don't have the same denominator so you make it the same which you can make it to 15 so you make both denominator of 1/5 and 2/3. So 1 /5 change to 3/15 and 2/3 change to 10/15.Now add 3/15 to 10/15 which is 13/5.After that you do 4 times 13/5.But change 4 to a fraction to make it easy which is 4/1.Now multiply 4/1 by 13/5 which gives you 52/15 .Finally change 52/15 to a mixed number which is 3 7/15.
Hope it helps and look at pic below to see the steps :)
On Joe’s business trip, he spent $258.14 during the 5 day trip on meals. How much did he spend per day on meals, round to the nearest penny?
Answer:
$51.63
Step-by-step explanation:
Joe spent 5 days on the trip and spent $258.14 total on food. To find the cost for each day, divide 258.14 by 5.
258.14 / 5 ≈ 51.63
Identify as indicating a linear function or quadratic function. f (x) = ax^2 + bx +c
Prove that the sum of three successive even integers is always a multiple of 6.
Answer:
if you see three consecutive numbers you can figure out that at least one of them is divisible by 6
Step-by-step explanation:
you can use mathematical induction by proving it mathematically. for a number to be divisible by 6, it should be divisible by 2. Since all are even numbers the number will be divisible by 2.
which situation shows a constant rate of change?
Answer: option D
Step-by-step explanation: just did it
C was wrong and showed option D was the correct answer
e)
2 Before you calculate these answers, first estimate the
a) 30 870 ÷49
b) 221 340 ÷17
c) 100 719÷ 279
d) 75 640 ÷310
Step-by-step explanation:
1.) 630
2.) 13020
3.) 361
4.) 244
can you help thanks
I will give you b if your answer is correct I only mark first answer so please help me
Answer:
b
Step-by-step explanation:
STD 10
maths
If the roots of the equation 9x2 – (2k – 5)x – 25 = 0 are additive inverse ( opposite),
then k = ………… .
(a) 0 (b) 1 (c) -5/2 (d) 5/2
Answer:
k = 5/2
Step-by-step explanation:
.....................
Dan is randomly selecting an outfit to wear to school. He can choose from 3 shirts: blue striped, red striped, or white. He
can choose from 3 pairs of shorts: tan, blue, or plaid.
Determine whether each statement is true or false.
Select True or False for each statement.
The probability that Dan chooses a striped shirt and a pair of tan shorts is
O True
o
False
There are 6 possible outcomes in the sample space.
O
True
O
False
The probability that Dan chooses a striped shirt and a pair of blue shorts is
o
True
O False
There are 2 ways to choose a red striped shirt and a pair of tan shorts.
O True
O False
Answer:i dont know :(
Step-by-step explanation:
im sorry :(
Answer:
1. true
2. false
3. false
4. false
Step-by-step explanation:
hope this helps
please mark brainiest
please give 5 stars
thank you
the ages of six boys are given as 12 years 3 months, 18 years, 13 years 7 months, 17 years 2 months 15 years and 14 years respectively. what is their average age?
Answer:
15 years (180 months)
Step-by-step explanation:
turn it into months first
147
216
163
206
180
168
add them together, then divide by how many there are
1,080/6=180 months
180/12 =15
need help please look at attachment
Answer:
y = 1/2x + 2
Step-by-step explanation:
Perpendicular slope = 1/2
( -2, 1)
y - y1 = m(x - x1)
y - 1 = 1/2(x + 2)
y - 1 = 1/2x + 1
y = 1/2x + 2
Answer:
y1=+/2/5+1
y1+/15
/1=+5/36
-2=1/-/12
Robin weighs her math textbook and finds that it is 2 kilograms. How many grams does her textbook weigh?
Answer:
2000
Step-by-step explanation:
1 kilogram is 100 grams therefore 2 kilo grams is equal to 2000 grams
The word kilo means thousand in Greek and i think French
:)
Answer:
2,000 grams :)
✎Question:Amirah is 4 years elder than Priya and Shirley is 2 years younger than Priya. If the sum of their ages is 47, find their respective ages ✔
Answer:
Priya's age = 15
Amirah's age = 19
Shirley's age = 13
Step-by-step explanation:
Let x be the age of Priya.
According to the question,
Amirah's age = x + 4
Shirley's age = x - 2
Their sum is 47.
So,
x + 4 + x + x - 2 = 47
3x + 2 = 47
3x = 47 - 2
3x = 45
x = 45/3
x = 15
So,
Priya's age = 15
Amirah's age = 15 + 4 = 19
Shirley's age = 15 - 2 = 13
Answer:
Priya is 15 years old
Amirah is 19 years old and
Shirley is 13 years old
Step-by-step explanation:
let Amirah =x
let Priya = y
let Shirley = s
so we have
x= 4+y
s=y-2
x+y+s =47
we have x= 4+y
4+y+y+s=47
4+2y+s=47
2y+s=43
s-y=-2 (MULTIPLY BY NEGATIVE 1)
y-s =2
2y+s= 43
by solving simultaneously we get
3y= 45
y=15
x= 4+y
x=19
s=y-2
s= 13
so Priya is 15 years old
Amirah is 19 years old and
Shirley is 13 years old
Which expression is equivalent to -6(3x-3)?
O 2x+4
2
-3X-6
O 3 6
-18.X+ 12
- 15x+4
POSSIBLE
Name the relationship: complementary, supplementary, vertical, or adjacent.
1)
2)
b
b
A) supplementary
B) complementary
C) corresponding
D) alternate interior
A) complementary
B) vertical
C) alternate exterior
D) alternate interior
3)
4)
I
I WILL GIVE BRAINLIEST !!!What is the product of 4 and 7?
7
O
o
8 9
14
9
14
7
8
Answer:
8? I think I'm not quite sure. lmk
free BRAINLESS it could be youea
find the missing value no trolling please
Answer: 2
The equivalent ratios are 1:2 and 5:10
Step-by-step explanation:
Write the equation of b with center b(-2,3) and radius 10.
Answer:
(x+2)^2+(y-3)^2=100
Step-by-step explanation:
so the equation is (x-h)^2+(y-k)^2=r^2
(h,k)=center
r^2=radius
in this case (h,k)=(-2,3)
r^2=r^2
10^2=100
(x-(-2))^2+(y-3)^2=100
Hope fully that helps :)