Answer:
D) 16π/3 ft
Step-by-step explanation:
The Question is calculated using Arc length formula
Arc length = 2πr × θ /360
r = 4 ft
θ = Central angle in degrees = 240°
2 × π × 4 × 240/360
8π × 240/360
8π × 20/30
16π/3 ft
Hence, the arc length = Option D = 16π/3 ft
Jennifer buys a desk on sale for $478.60. If the regular price was $684.00, what is the percentage of discount?
Answer:
30%
Step-by-step explanation:
Find the percent discount by dividing the change in the price by the original price:
(684 - 478.6) / 684
205.4 / 684
= 0.3
So, the percent discount was approximately 30%
Find the inverse of the following function.
f(x) = + 12
OA (1) = x
= 1 – 12
OB. (v) = 12 - Foto
oc. 5- (6) = x3 – 12
OD. 1-() =
= 1 + 12
Answer:
c
Step-by-step explanation:
exchange y and x
then find y
Select the correct answer. What are the solutions of this quadratic equation?
6x^2 + 6 = 12x + 18
[tex]x = 1 + \sqrt{3} [/tex]
[tex]x = 2 + 2 \sqrt[]{3} [/tex]
[tex]x = 2 + \sqrt{6} [/tex]
[tex]x = - 1 \: and \: x = 3[/tex]
Answer:
x=1+√3
Step-by-step explanation:
Let's solve your equation step-by-step.
6x^2+6=12x+18
Step 1: Subtract 12x+18 from both sides.
6x^2+6−(12x+18)=12x+18−(12x+18)
6x^2−12x−12=0
For this equation: a=6, b=-12, c=-12
6x^2+−12x+−12=0
Step 2: Use quadratic formula with a=6, b=-12, c=-12.
x=−b±√b2−4ac/2a
x=−(−12)±√(−12)2−4(6)(−12)/2(6)
x=12±√432/12
x=1+√3
a gping out if bisinuess sale has the entire store marked 80./. off
Answer:
huh- So lemme get this straight if a dollar tree (where I live) goes out of business I can buy it for like 20 cents??? AWESOME. I'll do that.
Step-by-step explanation:
11 (6 - y) = ??
THANK YOUUU
Answer:
The Answer is gonna be 66-11y
EXPLANATION :
11 (6 - y)
11x6=66
11(y)=11y
So we will get 66-11y
Which point does not pass through?
10 Points
Answer:
C ( 9 , 15)
Step-by-step explanation:
A 10-foot ladder leans against a wall so that it is 6 feet high at the top. The ladder is moved so that the base of the ladder travels toward the wall twice the distance that the top of the ladder moves up. How much higher is the top of the ladder now? (Hint: Let 8−2x be the distance from the base of the ladder to the wall.)
Answer:
Step-by-step explanation:
The Pythagorean Theorem holds for both positions.
The first configuration is an 6-8-10 right triangle.
The second configuration using the Pythagorean Theorem:
10^2 = (8-2x)^2 + (6 + x)^2
100 = 64 - 32x + 4x^2 + 36 + 12x + x^2
100 = 100 - 20x + 5x^2
5x^2 - 20x = 0
5x(x - 4) = 0
x = 4 feet (we throw out the x = 0 solution as extraneous)
Answer:
Step-by-step explanation:
The Pythagorean Theorem holds for both positions.
The first configuration is an 6-8-10 right triangle.
The second configuration using the Pythagorean Theorem:
10^2 = (8-2x)^2 + (6 + x)^2
100 = 64 - 32x + 4x^2 + 36 + 12x + x^2
100 = 100 - 20x + 5x^2
5x^2 - 20x = 0
5x(x - 4) = 0
x = 4 feet (we throw out the x = 0 solution as extraneous)
A 7.0 kg textbook is placed in a shelf 1.5 m high. What is the potential energy relative to the floor?
Answer:
PE = 102.9 Joules
Step-by-step explanation:
PE = mgh
= (7.0 kg)(9.8 m/s^2)(1.5 m)
= 102.9 Joules
image down below plz help
Answer:
A
Step-by-step explanation:
I feel strongly that it is A.
On two investments totaling $6,500, Lydia lost 7% on one and earned 8% on the other. If her net annual receipts were $364, how much was each investment?
Answer:
$3,442.40
$3,057.60
Step-by-step explanation:
The computation of the each investment is as follows:
let us assume the one investment be x
And, the other investment be y
So
According to the question
x + y = $6,500
And,
-7x + 8y = $364
Now multiply by 7 in equation 1
7x + 7y = $45,500
-7x + 8y = $364
15y = $45,864
y = $3,057.60
x = $6,500 - $3,0657.60
= $3,442.40
lol please help me i really don’t get this
Answer:
If y is inversely proportional to x then y is 3
A man has Rs 1900. he lent some of it at 5% p.a and rest at9% p.a. The total amount of interest which he got after4 years was Rs 580.Wwhat was the sum
ans= Rs650,Rs 1250
Answer:
The sum is Rs 1,250 and Rs 650
Step-by-step explanation:
Let the amounts be represented as $x and $y
The sum of both is 1900
Thus;
x + y = 1,900 •••••(i)
Mathematically, the interest on the amount borrowed is;
I = PRT/100
where p is the principal, representing the amount borrowed
R is the rate
T is the time
for the first amount of $x ; we have interest as;
I = (x * 5 * 4)/100 = 20x/100
for the second, we have
I = (y * 9 * 4)/100 = 36y/100
The sum of both is 580
Thus;
20x/100 + 36y/100 = 580
20x + 36y = 58000 •••••(ii)
From equation i;
x = 1,900 - y
Substitute this into equation ii
We have this as;
20(1900-y) + 36y = 58,000
38000 - 20y + 36y = 58,000
16y = 58000 - 38000
16y = 20,000
y = 20,000/16
y = 1250
From equation 1;
x + y = 1900
x = 1900-y
x = 1900-1250
y = 650
can someones please help me i dont get this
Answer:
176.25in^2
Step-by-step explanation:
You can tell that the two triangles on the left, and the two triangles on the right make a rectangle if you flip one of them. Because of this, you can multiply the base and height to get the area of both.
7.5*16=120 (left side)
7.5*7.5=56.25 (right side)
Now we add them to get the full area:
120+56.25=176.25in^2
The distance between two cities is 4000 kilometers. One kilometer is 6 10 millimeters. What is the distance between the two cities in millimeters?
Answer: 4,000,000,000 mm
Step-by-step explanation:
One kilometer is 10^6 or 1000000 millimeters
So 4000x1000000
4x1 is 4
Annex the zeros. There are 9 zeros.
= 4,000,000,000 millimeters
The distance between the two cities in millimetres of 4,000,000,000 mm
What is a distance?
Distance is defined as the length between the two points just like in the question it is the length between the two cities.
We know that:-
One kilometer is 10^6 or 1000000 millimeters
So 4000x1000000
4x1 is 4
Annex the zeros. There are 9 zeros.
= 4,000,000,000 millimeters
Therefore the distance between the two cities in millimetres of 4,000,000,000 mm
To know more about distance follow
https://brainly.com/question/2854969
#SPJ2
find the distance between the two points rounding to the nearest tenth (1,9) (-2,6)
Answer:
3sqrt2 is the distance between these two points
can someone help me asap
Answer:
so 414 so the 4 in the hounded coloum
1011 the one is in the tenths coloum
does this help you work out the over two
Step-by-step explanation:
WRITE AN EQUATION THAT MATCHES THE STORY!! Five students came for after-
school tutoring. Priya's teacher assigned each of them the same number of
problems to complete. Then she assigned 2 more problems to one of the
students. 27 problems were assigned in all.
Answer:
5 + 2 = 27
Step-by-step explanation:
Answer:
let's take s as student
let's take p as problem
sp as student that has gotten a problem
1s × 5p + 1s × 5p + 1s × 5p + 1s × 5p + 1s × 5p
5sp + 5sp + 5sp + 5sp + 1s × 5p + 2p
20sp + 1s × 7p
20sp + 7sp
27sp
Find the area of this circle.
Use 3.14 to approximate
A = ar2
20 ft
Answer:
314
Step-by-step explanation:
Answer:
314
Step-by-step explanation:
R= half of d
d= 20
20/2= 10
r=10
Plug into formula:
3.14(10)^2
= 314
6.8 x + 9.3 6.8 x + 9.3 equals -9.4 + 3.4 (2 minus 5x)
Answer:
x=-0.5
Step-by-step explanation:
6.8x + 9.3= -9.4 + 3.4 (2-5x)
6.8x + 9.3 = -9.4 + 6.8 - 17x
6.8x + 9.3 = -2.6 - 17x
22.8x = -11.9
x = -0.5
Draw a line to match each fraction, decimal, or percent in Column A to the equivalent value in Column B.
A B
40/50 1 3/4
13% 1 11/20
1.75 0.13
155% 80%
Answer:
This is the answer
Step-by-step explanation:
40/50 - 80%
13% - 0.13
1.75 - 1 3/4
155% - 1 11/20
Hope this helps
mel randomly selects a coin 150 times of which she selects a dime 30 times
Answer:
Random numbers for experimental probability. This means that if we roll a die 60 times we can expect each of the six faces to come up.
hope this helps
have a good day :)
Step-by-step explanation:
what is a non example substitution method?
Answer:
The substitution method consists of solving for in one of the equations, basically the one that is easiest, and substituting the resulting expression in the other. With this, the second equation is converted into a linear equation with one unknown, which is solved by simply solving for.
Step-by-step explanation:
l hope and this can help you
Peter says If you subtract 14 from my number and multiply the difference by -2, the result is -44 What is Peters number?
Answer:
36
Step-by-step explanation:
According to the scenario, computation of the given data are as follows,
Let the number be x, then
First subtract 14 from number x, then
x - 14
Now multiply difference by -2, results -44
(x - 14) × -2 = -44
By solving equation,
-2X + 28 = - 44
- 2X = -44 - 28
X = -72 ÷ -2
x = 36
So, Peter's number is 36.
The current temperature is 48F. It is expected to drop 1.5F each hour. Determine how many hours the temperature will be 36 F.
Answer: 6 hours
Step-by-step explanation:
48/6 = 8
36/6 = 6
Solve. Your solution needs to have the variable first. -4 + x < -10
Answer and Step-by-step explanation:
First off, we need to get the variable by itself. We do this by adding 4 to each side of the inequality.
x < -6
Our answer is x < -6, so all values that are inputted to x and are less than -6 are solutions to the inequality.
#teamtrees #PAW (Plant And Water)
Which value of x makes the inequality true
Answer:
the answer is D
you would end up with 14% and 14 is in between 12 ns 18
Step-by-step explanation:
help needed asap will give brainliest
Answer:
the corect answer for this question is (-x,y)
Shana plans to borrow $1,300 to buy a guitar. One bank is offering a simple interest rate of 5% per year on borrowed amounts. Another bank is offering a simple interest rate of 4%. Shana plans to repay the loan in 3 years. In dollars, how much can she save by borrowing from the bank with the lower interest rate? Record your answer in the box.
Answer:
5% times 3=15%
4% times 3=12%
15-12=3
1300 times 0.03= $39
39 dollars.
ASAPPPP
18. The steps used to solve the equation 2x + 8 = 20 for x are shown below.
2x + 8 = 20
Step I: 2x = 12
Step II: x = 6
Which property makes Step I true?
A. Division property of equality
B. Reflexive property of equality
C. Subtraction property of equality
D. Symmetric property of equality
Answer:
C. Subtraction property of equality
Step-by-step explanation:
Bubble algae cells can grow up to 5 cm in diameter. Calculate the surface area : volume ratio of this cell.
Answer:
6:5
Step-by-step explanation:
Bubble algae cells can grow up to 5 cm in diameter. Calculate the surface area : volume ratio of this cell.
The algae is spherical in nature
Volume of the algae =4/3 pi r³
Volume of the algae = 4/3×pi×2.5³
Volume of the algae = 62.5/3 pi
Surface area = 4pi r²
Surface area = 4pi ×2.5²
Surface area = 25pi
Taking their ratio
surface area : volume ratio
= 25pi:62.5/3 pi
= 25 × 3/62.5
= 1.2
Hence the required ratio is 12/10 which is 6:5