Answer:
274.23 feet
Step-by-step explanation:
From the question,
The measure of the arc between any two blades (s) = 2πrΦ/360
s = 2πrΦ/360................... Equation 1
Where Ф = angle formed betwen two blades, r = length of each blade.
Given: Ф = 360/3 (the three blades are equally spaced) = 120°, r = 131 feet.
Constant: π = 3.14
Substitute these values into equation 1
s = (2×3.14×131×120)/360
s = 274.23 feet.
Hence, the measure of the arc between any two blades is given = 274.23 feet
If using the method of completing the square to solve the quadratic equation
x² + 2x + 16 = 0, which number would have to be added to "complete the
square"?
Answer:
x=-1+\sqrt{15}i,\:x=-1-\sqrt{15}i
Step-by-step explanation:
For the given quadratic equation,x² + 2x + 16 = 0 the value of x will be x=-1+√15i, and x-=-1-√15i you must add 1 in order to complete the square.
What is a quadratic equation?Any equation with the formula [tex]\rm ax2 + bx + c = 0[/tex] where x is a variable and a, b, and c are any real values; a quadratic equation is one where a ≠ 0.
It is given that the equation is, x² + 2x + 16 = 0,
The value of x obtained after solving the given equation is x=-1+√15i and x-=-1-√15i.
In order to complete the square you have to take out the following operations,
x² + 2x + 16 = 0
Add and subtract by 1 as
x²+2x+16+1-1
x²+2x+1 +15
(x+1)²+(√15)²
Thus, you must add 1 in order to complete the square.
Learn more about quadratic equations here:
brainly.com/question/17177510
#SPJ2
Solve the equation.
-2/3 (x + 3/5) = 1/2
x=
angle relationships. please help me. i will give you brainlist. if you are right though.
Step-by-step explanation:
12x+15+69= 180
12x = 96 X =8
x+137 + 50 = 180
x = - 7
80= 20x
x = 4
Please help. Will give brainliest.
Answer:
7.
radius [r]=3in
length of bold part of circle=(360-40°)/360×2πr
=8/9×2×π×3=16.755
8.
we have
x²-2=2-y²
x²+y²=4..........(1)
comparing above equation with
(x-h)²+(y-k)²=r²
we get
centre(h,k}=(0,0)
radius [r]=2 units
The square below has an area of 64-16x+x^264−16x+x 2 64, minus, 16, x, plus, x, squared square meters. What expression represents the length of one side of the square?
What is the ratio for sin A?
3/4
3/5
4/5
4/3
Which expression has the same value as -5x+ 10y?
-10y - (-5x)
5x + 10y
10y + 5x
-5x – (-10y)
Answer:
-5x-(-10y)
Step-by-step explanation:
-5x-(-10y)
-5x+10y
Answer:
-5x – (-10y)
Step-by-step explanation:
-5x – (-10y) is the same as -5x+ 10y. The two negatives will cancel out and become a positive.
Matthew is choosing between two Internet plans for his smart phone. Plan A costs $18 per month plus $0.05 per minute. Plan B costs $28 per month for unlimited usage. Please help me. Show all steps
Answer:
I would go with plan b because $0.05 can add up pretty fast and would be more expensive than $28
w - 4 > -10
Solve the inequality for W
A gas container in the shape of a cone has a height of 12 inches and a maximum diameter of 8 inches. When the container is filled to three-quarters of its height, what is the volume of the gas in the container, to the nearest tenth of a cubic inch.
Answer:
150.9 cubic inches
Step-by-step explanation:
volume of he gas = volume of a cone x 3/4
Volume of a cone 1/3(nr^2h)
n = 22/7
r = radius
h = height
the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.
A radius is half of the diameter
8/2 = 4 inches
1/3 (22/7 x 4^2 x 12) = 201.142857 in^3
volume of the gas = 3/4 x 201.142857 in^3 = 150.9 in^3
the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero
hello whats this ? ill give brainliest
Answer:
congruent
Step-by-step explanation:
90+90=180
so not 0 or 270
and complementary means they add up to 90 and none of that is true
so it has to be congruent
Kira brought chocolate and vanilla cupcakes to school for her birthday. 80 students decided to take a cupcake, and 32 of them picked vanilla. What percentage of the students picked a vanilla cupcake?
Answer:
40%
Step-by-step explanation:
Percentage of students that picked a vanilla cupcake = (students that picked a vanilla cupcake / total number of students)x 100
(32 / 80) x 100 = 40%
54 can be divided with no remainder by which of the following numbers 2 3 4 5 6 9 10
LINKS WILL BE REPORTED NOT HAVING IT
Answer:
6 and 9
Step-by-step explanation:
6 x 9 = 54
please help me out :))
Answer:
144
Step-by-step explanation:
It rotates out of 360 degrees, and since it is a pentagon that rotates from two of its vertices, then 360/5 would give us the amount it is rotating from one vertice. So 72. Then multiply it by two because you are moving from e to b.
144
Which is equivalent to 437
O A 7
B. 12
OC 16
OD. 64
E. 81
A shirt is originally priced at
$
24.50
. The shirt goes on sale for
30
%
off the original price. How much money, to the nearest cent, does the shirt cost including
7
%
tax on the sale price?
Answer:
$18.35
Step-by-step explanati
Your Welcome
NO LINKS!! PLSS HELP ME I WILL GIVE YOU BRAINLYEST!!
Mr. Hernandez bought 16 meters of
chain-link fencing. The section of his yard that
needs to be fenced is 50 feet long. Did Mr.
Hernandez buy enough fencing? Determine the
number of feet Mr. Hernandez still needs to buy
or how many extra feet he has purchased.
(1 meter = 3.28 feet.)
Answer:
well yes he has 2.4 extra
Step-by-step explanation:
1 meter is 3.28 feer so 3.28 x 16 is 52.4 and he only need 50.
hoped this hlepd and you have to give me brailyest. i just want to help...
Answer:
yes
Step-by-step explanation:
well we can just multiply the 3 with the 16
well now we have 48
add 28, 16 times which gives us 4.48
48+4.48 52.48
you have 2.48 feet left
and yes he has enough
now, about that deal.....
Don't worry it's not a virus just listen to it it's cool
Answer:
I dunno if i typed it wrong it says video unavailable.
Step-by-step explanation:
Tom started a stamp collection with 32 stamps each week he added 8 to his collection. Rhea started with 102 stamps each week she gave away 6
Answer:
The total number of stamps that Tom collect at the end of X weeks is
[tex]32 + 8 * X[/tex]
Step-by-step explanation:
Complete question
Tom started a stamp collection with 32 stamps. Each week he added 8 stamps to his collection.
Rhea started her stamp collection with 102 stamps. Each week she gave away 6 stamps.
Write an equation to represent the number of stamps in Tom’s collection based on the number of weeks he has been collecting stamps.
Solution
Let "X" be the number of weeks for which Tom collected the stamps
The number of stamps that Tom had at the time of starting the collection [tex]= 32[/tex]
It is given that he collects 8 stamps per week
So the total number of stamps that Tom collect at the end of X weeks is
[tex]32 + 8 * X[/tex]
Angle E and angle H are supplementary. If angle E has a measure of 156 degrees, find the measure of angle H
Answer:
24 degrees
Step-by-step explanation:
Supplementary angles sum up to give 180°
E + H = 180°
156 + H = 180
H = 180 - 156
H = 24°
I need help I will give brainliest I promise
Answer:
1/4 is the answer
Step-by-step explanation:
First, we see that the total students is 20 & the students who got 6 or 7 is 5.
5/20 = 1/4
1/4 = 25%
I would like help on this math problem please!
Answer:
4^11
Step-by-step explanation:
[(4^3)(4^4)]÷(4^1+4^-4)
using laws of indices
(4^3)(4^4)=4^(3+4)
=4^7
(4^1 +4^-4)=4^(1-4)
=4^-3
4^7/4^-3,recalling about laws of indices if the exponentials are dividiy ,you subtract the powers give their base is equal
4^7/4^-3=4^(7-(-3)
=4^(7+3)
=4^11
6.James is fencing his rectangular garden.The garden
has a side with 5meters and another side with 3 meters. What is the perimeter of the garden?
Answer:
16 meters
Step-by-step explanation:
5+3+5+3= 16 meters
Three friends compare the balances in their checking accounts.
The balance in Al's account is $32.60.The balance in Dee's account is 34
the balance in Al's account.
The balance in Zac's account is $49.08 less than the balance in Dee's account.
What is the balance in Zac's account?
It takes 100 maple trees to make 20 gallons of maple
syrup. How many maple trees will it take to make one
gallon of syrup? Justify your reasoning.
In the XY coordinate plane, the slope of a line is 4 and it passes through the point (1,3). Find the equation of a line that is perpendicular to the given line and intersects it at the given point.
A. y=4x-1
B. y=-4x+7
C. y=1/4x -1
D. y=4x+13/4
E. y=-1/4x+13/4
Answer:
E?
Step-by-step explanation:
I'm sorry of this answer is wrong
The square pyramid below represents a tent that Wayne is making. The sides of the tent will be covered in blue fabric, and the base of the tent will be covered in brown fabric. Find the surface area that will be covered in each color of fabric. Enter your answer in the boxes
10x-18=15x+48 solve for the x please.
Answer: 15
Step-by-step explanation:
I rly need help with #2-4 and #8-9 PLZZ
Answer:
2. sin=12\15 cos=9/15 tg=12/9
3. sin=3/v13 cos=2/v13 tg=3/2
4. sin=v15/4 cos=7/4 tg=v15/7
7. Giovanni made the design below for an art project. What is the area of the drawing? 13 in. 5 in. 4in.
Answer:
75 in^2
Step-by-step explanation:
Given data
From the figure
We can see a rectangle and a triangle
The area of the rectangle is
Area= L*W
Area= 13*5
Area= 65 in^2
Area of the triangle
Area= 1/2b*h
Area= 1/2*4*5
Area= 2*5
Area= 10 in^2
Hence the area of the composite figure is
Area= 65+10
Area= 75 in^2
