Answer:
a. i. 3000 cm² ii. 220 cm b. 6 feet
Step-by-step explanation:
A. i. The area of the sector AOB is A = ¹/₂r²θ where r = radius of circle = 50 cm and θ = angle subtended at the center of the circle by the sector in radians = 2.4 radians.
So, A = ¹/₂r²θ
= ¹/₂(50 cm)² × 2.4 rad
= ¹/₂ × 2500 cm² × 2.4 rad
= 1250 cm² × 2.4 rad
= 3000 cm²
ii. The perimeter of the sector is P = 2r + rθ = (2 + θ)r
substituting r and θ, we have
P = (2 + θ)r
= (2 + 2.4) × 50 cm
= 4.4 × 50 cm
= 220 cm
B. Since length of an arc L = rθ where r = radius = length of pendulum and θ = angle swept by pendulum = ½ radian and length of the arc swept = 3 feet, the radius is
r = L/θ
= 3 feet ÷ ½ rad
= 3 × 2
= 6 feet
PLEASE HELP ASAP!!!!
Which graph shows a proportional relationship between x and y?
PLEASE HELP ASAP!!! i’ll mark brainlest
Answer:
B. 7 = n + 4
Step-by-step explanation:
7 dogs
4 doberman
n Non doberman
7 - 4 = n
so B. 7 = n + 4
rewrite number with expression with the power of 10
8,000,000,000
Answer:
8 × 10^9
Step-by-step explanation:
hope it's helpful
Answer:
8 × 10⁹
Step-by-step explanation:
8 × 10⁹
6)
A grill at a barbeque restaurant will be used to cook chicken logs that are 1.25 pounds each and racks of ribs that
are 7 pounds each. No more than 110 pounds of chicken legs and racks of ribs will be cooked on the grill. Which
inequality represents all possible combinations of x, the number of chicken legs that will be cooked on the grill,
and y, the number of racks of ribs that will also be cooked?
A) 1.25x + 7y s 110
B) 1.25x + 7y > 110
C) 7x +1.25y< 110
D) 7x + 1.25y > 110
Answer:
A. [tex] 1.25x + 7y \le 110 [/tex]
Step-by-step explanation:
No more than 110 lb total will be grilled. That means that the amount of meat that will be grilled is equal to or less than 110 lb.
[tex]total~weight \le 110[/tex]
The total weight is made up of the weight of the chicken legs plus the weight of the racks of ribs.
1 chicken leg weighs 1.25 lb.
x chicken legs weigh 1.25x.
1 rack of ribs weighs 7 lb.
y racks of ribs weight 7y.
The total weight of the meat is
1.25x + 7y.
That weigh must be less than or equal to 110 lb.
[tex] 1.25x + 7y \le 110 [/tex]
Answer: A. [tex] 1.25x + 7y \le 110 [/tex]
Answer:
A is the answer
Step-by-step explanation:
1.25 per every Chicken leg
Chicken leg=x
7 per every Rack of ribs
Rack of ribs= y
1.25x+7y<110
Tiana's Cafe offers two kinds of espresso: single-shot and double-shot. Yesterday afternoon, the cafe sold 50 espressos in all, 60% of which were single-shot. How many single-shot espressos did the cafe sell?
Answer:
I am pretty sure its 43.48%
x-3y=-15 standard form to slope-intercept form
Can someone help me with this ASAP
In the table, the relation (x, y) is not a function if the missing value of x is ___
Answer:
6 is a answer
Step-by-step explanation:
if it is x 3+3 is equal to 6
if it is 10+10 is equal to 20
What is the value of a in the right triangle shown below?
15
12
O aſ
O Q=3
Oa=9
O G = 81
What is the vale of |-25|?
Ang hirap.................!
Answer:
25
Step-by-step explanation:
The things around 25 means the absolute value
25’s absolute value is 25 and -25’s absolute value is 25.
HOPE THIS HELPS
PLZZ MARK BRAINLEIST
pls answer What are the values of [tex](-2)^4[/tex] and [tex]-2^4[/tex] ?
Answer:
-16
Step-by-step explanation:
Can anyone give me a poem about tolerance
Answer: See explanation
Step-by-step explanation:
Tolerance
OH, TOLERANCE!
Imagine a world filled with various attributes of tolerance
The somewhat cheaply expensive substance
Exuding from the spirit of acceptance
Giving the assurance of living and interaction
Oh, tolerance!
Imagine the impending disaster or menace
Evidence of living in this world without tolerance
If we could reminisce the possible chaos of its absence
Then acknowledge the need to seek for its protection
Oh, tolerance!
Imagine a city filled with the fragrance of tolerance
The acquiescence of human coexistence
The aura of the essence of our existence
In a city of unity and strength
Oh, tolerance!
Remedy for our shortcomings and ignorance
Enhancing strength and resilience
Giving us evidence and endurance
To forge ahead and be hopeful that we can make progress
Oh, tolerance!
Antidote to our offences and weaknesses
Exuberance and mistakes
The consciousness that you are with us
Gives us reason to accommodate all and sundry
Oh, tolerance!
You romance our ego
Showing us reasons that we are not perfect
The remembrance of your tenets
Increases our stimulus for acceptance and coexistence
Oh, tolerance!
in order to lure new customers to a credit card, a bank is offering an initial cash back award, plus cash back amounting to a percentage of the value of all purchases made with the card. If p is the value if all purchases made with the card and c is the amount of cash back, which of these equations does the graph represent?
Answer:
c = 0.03p + 150
Step-by-step explanation:
Let the equation of the line representing the relation between cash back and value of purchases be,
c = mp + b
Where m = slope of the line = rate of change in cash back earned
b = y-intercept = cash back already earned
Slope of the line = [tex]\frac{\triangle p}{\triangle c}[/tex] = slope of the line passing through points (0, 150) and (2000, 210)
= [tex]\frac{210-150}{2000-0}[/tex]
= [tex]\frac{60}{2000}[/tex]
= 0.03
And 'b' = y-intercept = 150
Therefore, equation represented by the graph will be,
c = 0.03p + 150
A submarine starts at the surface of the water and then travels 95 meters below sea level in 19 seconds. If the submarine traveled an equal distance each second, what integer gives the distance traveled each second? a. –1805 c. –5 b. 1805 d. 5
Answer:
-5
Step-by-step explanation:
Given that:
Total distance traveled from surface of water = 95 meters
Total travel time = 19 seconds
If equal distance Is traveled per second :
Distance traveled per second :
Total distance covered / total time taken
95 meters / 19 seconds
= 4.842 meters / second
Since it travels below sea level ( negative).
Hence distance traveled per second to the nearest integer = - 5 m/s
A line has the equation y =1/3 x - 5.
Find the equation of a
perpendicular line passing through
(3,2).
cup of juice. Howard mixes 1 2/3 cups of water with 1/4 cup juice. Whose mixture is stronger
plz help i keep getting it wrong.
Answer:
angle 1= 122
Step-by-step explanation:
We know this is an isosceles triangle because of the two marks indicating that the lines have the same measure and therefore have the same angle measurement as well.
Frist let's find the the 2 smaller sides by subtracting 64 from 180 and dividing by 2 (both sides are the same).
180-64=116, 116/2=58,
Now we know the measure of the smaller angles, and notice that the smaller angle on the forms a linear pair (both add up to 180 degrees) with angle 1
so, 180-58= angle 1
Angle 1= 122
Feel free to ask any questions or comments!
HELPPPPPP PLS AH !!!!!
Answer:
y=3x+5
Step-by-step explanation:
We know the slope-intercept form is y=mx+b.
To find the slope:
11-(-1)/2-(-2)=12/4
12/4=3
To find the y-intercept, we can look at the table pattern. If x is 0, then y must equal 3.
Therefore our final answer is y=3x+5
Which statement about the ordered pairs (-9, 3) and (2, - 4) is true for the equation 6.0 6x - 142 2 9. 3) is a solution to the equation. (2. 4) is a solution to the equation. O Neither ordered pair is a solution. Both ordered pairs are solutions. 1 2
Answer:
It should be Neither ordered pair is a solution
Step-by-step explanation:
I take the same math lol
The sum of two consecutive even integers is -170. Find these numbers.
PLEASE HELP THIS IS DUE AT 11:59PM IS 11:16!HELP HELP
Answer:
Step-by-step explanation:
-127.5 +( -42.5) i really hope this helped im sorry-
HELP ME ASAP THIS IS DUE IN A LITTLE BIT AND I DON'T UNDERSTAND PLS HELP.
The last one is two PLS HELP ME THIS IS DUE IN A LITTLE BIT.
Answer:
17) B; 12)H; 9)D; 10)F
Step-by-step explanation:
Geometry need help answering
Adam worked 8 hours per week before his work load increased. After the increase, he worked 4 hours per day for 6 days each week. How many more hours per week did he work after the increase?
Answer: Adam worked for 24 hour after the increase
Step-by-step explanation:
How many solutions does the equation 1/5(20x-25)=4x-5 have?
Answer:
Infinitely many solutions
Step-by-step explanation:
we need to simplify the equations
1/5(20x-25)=4x-5
distribute the 1/5
4x-5=4x-5
+5 to each side
4x=4x
divide each side by 4
x=x
since x=x there are infinitely many solutions.
Answer:
no real solutions
Step-by-step explanation:
1/5(20x-25)=4x-5
1/5(20-25)=4-5
1/5(-5)=1
-1=1
A pair of jeans is sold for $28. If the sales tax is 6%, what is the total cost of the jeans including tax?
Answer:
29.68
Step-by-step explanation:
28 x 0.06 = 1.68
T = SP + ST
T = 28 + 1.68
T = 29.68
HELP ASAPPPPPPPP 25 POINTS
Answer:
g(x) = x² + 4x + 5
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
Here (h, k ) = (- 2, 1 ), thus
y = a(x + 2)² + 1
To find a substitute (0, 5) ← y- intercept into the equation
5 = a (0 + 2)² + 1 ( subtract 1 from both sides )
4 = 4a ( divide both sides by 4 )
a = 1
g(x) = (x + 2)² + 1 ← in vertex form
Expand parenthesis and simplify
g(x) = x² + 4x + 4 + 1, then
g(x) = x² + 4x + 5 ← in standard form
please help me with this 8th grade math
How about this simply thing ....
Answer:
RP=16
Step-by-step explanation:
In a parallelogram, the intersection point of the diagonals represents the midpoint of each diagonal. Knowing this, we can say that RS=SP.
If RS=8, then SP=8.
RP is equal to RS + SP, and 8+8 is 16.
I hope this helps! Please comment if you have any questions :)
Every year on November 1, the Stablo family plants a tree. This tradition has happened for generations and the first tree the family planted is now 183 years old. Two of the trees were planted in their backyard; one is an apple tree and the other is a maple tree. The maple tree is older than 100, but was not the first tree planted. On November 1 of this year, the age of the maple tree is fifteen times the age of the apple tree.
On November 1 of some year from now, the age of the maple tree will be eleven times the age of the apple tree. How old are the trees that year?
Answer:
Apple- 14 Maple- 154
Step-by-step explanation
Since 11 x n - n is equal to a number that ends in 10, 20 etc. and the number has to be a multiple of 11 for the maple tree, and the difference has to stay the same throughout two all we need to find is 15 x n = a number that is divisable by 10. 15 x 10 = 150 so that's the age of the trees this year, and the difference between the trees is 140 so it corresponds with our rule. and the multiple of 11 that the difference is 140 is 11 x 14 = 154 and 154 - 11 = 140. Therefore the apple tree is 14 years old and the maple tree is 154 years old.
Aluminium has a density of 2900 kg/mº. A construction company
need four cubic metres of aluminium.
Calculate the mass of the aluminium needed.
Answer:
11600kg
Step-by-step explanation:
Given parameters:
Density of aluminium = 2900kg/m³
Volume needed = 4m³
Unknown:
Mass of the aluminum needed = ?
Solution:
Density is the mass per unit volume of a substance.
Mathematically;
Density = [tex]\frac{mass}{volume}[/tex]
Mass = density x volume
Now, insert the parameters and solve;
Mass = 2900 x 4 = 11600kg