Jack wants to plant a border of flowers in the shape of an arc along the edge of a circular walkway. of the circle has a radius of 5 yards and the angle subtended by the arc measures 1 1/2 radians, what is the length, in yards, of the border
Answers
1. You must apply the formula for calculate the arc length, which is:
arc length=(angle)(radius)
2- As you can see, the circle has a radius of 5 yards and the angle subtended by the arc measures 1 1/2 radians. Therefore, you have:
The angle is:
1 1/2 radians=1.5 radians
3. When you susbtitute these values into the formula, you obtain:
arc length=(1.5 radians)(5 yards)
arc lenght=7.5 yards
4. Therefore, the answer is: 7.5 yards.
Related Questions
What do I do to figure out this problem:3x+8=26+x
if Scott wood makes 91% of all his free throws then what is the probability that he will make all of his next 6 attempts
5x + 4y = 6 and y = 5/4x + 5
The equation y-4=-3(x+4) is written in point-slope form. What is the y-intercept of the line? *1 point16-81-7Other:
−8xy2 + 4x4y2 + 3x3
x4y2 + 4x3y5 + 10x4
x6y2 + 4x3y8 + 10x7
Answers
Answer:
Option A is the correct option.
Step-by-step explanation:
Polynomials given in the question are
1)
2)
3)
4)
In a standard form of a polynomial term with the highest degree should be written first, then second highest degree term and similarly other terms should be written.
Here 1st polynomial is in the standard form only in which degree of terms are as followed.
1 term degree of term = (5 +2) = 7
2nd term degree of term = (3 +1) = 4
3rd term 10x² degree of term = 2
So the answer is option A.
-3x^5^2 + 4x^3y + 10x^2
As you can see, the terms are arranged based on the value of the exponents. From the largest exponent x^5 to the smallest exponent x^2.
Answers
f^-1 means finverse
find finverse then subsitute 3 for x
to solve
replace f(x) with y
solve for x
switch x with y
replace y with finverse or f^-1
f(x)=(x+5)/3
y=(x+5)/3
3y=x+5
3y-5=x
3x-5=y
finvers=3x-5
fiinverse(3)=3(3)-5
finverse(3)=9-5
finverse(3)=4
why is it not listed again
$3,500 at 9%; $4,300 at 11%
$3,400 at 9%; $3,200 at 11%
$3,100 at 9%; $4,900 at 11%
Answers
Answer:
The answer is $3,100 at 9%; $4,900 at 11%
Step-by-step explanation:
You can solve this problem with a system of equations, that is, a system that can contain 2 or more equations. In this case, arms 2 linear equations with two variables: x and y. So first you define what your variables are:
- x: amount of money invested in the account with 9% interest
- y: amount of money invested in the account with 11% interest
Now you can define the system of equations. On the one hand you know that in the account that has 11% interest Mr. Brownwood deposited $1800 more than in the other account. In an equation and according to the previously defined variables this means: y=x+1800 Equation (A)
On the other hand, you know Mr. Brownwood earned $ 818 in interest. This means that the sum between the interest generated in the account deposited with 9% interest plus the interest generated in the account deposited with 11% interest is $ 818. And to calculate the amount of money generated by interest you multiply the percentage of interest by the amount deposited. Remember that to convert from percentage to decimal you must divide the number by 100. Then 9% is 0.09 and 11% is 0.11. In summary, considering this, you get the equation: 0.09*x+0.11*y=818 Equation (B)
Now you have both equations with the two variables to solve the system. There are several ways to solve the system. One of the most used ways is substitution, which consists in isolating one of the variables from one of the equations and replacing it in the other equation.
In this case you isolate the variable "y" from equation A, and you get: y=1800+x
Now replace it in equation (B): 0.09*x+0.11*(1800+x)=818
First you apply distributive property, which consists of distributing the multiplication by the terms within the parenthesis:
0.09*x+0.11*1800+0.11*x=818
0.09*x+198+0.11*x=818
Now, we leave the variable x on one side of the equality, in this case the left, and the numbers without the variable on the other side, in this case the right. To pass the numbers from one side of the equality to the other, you must keep in mind that you must use the opposite operation, that is, if the number 198 is adding on one side of the equality, the other side is subtracted:
0.09*x+0.11*x=818-198
Now you perform the corresponding operations. Then you isolate the variable and, and as in the previous case, you pass the number that accompanies the variable on the other side of equality with the opposite operation. In this case it is multiplying and its opposite operation is the division:
0.2*x=620
x=3100
Now you replace this value in either of the two equations, A or B, and solve that equation to get the value of y. So: y=4900
Remembering that x was amount of money invested in the account with 9% interest and y was amount of money invested in the account with 11% interest, you can say that $3100 was the amount invested at 9% and $4900 was the amount invested at 11%
Answer:3100 with 9%
Step-by-step explanation:
Answers
x% of $257.00 is $12.85
x% * 257.00 = 12.85
x/100 * 257.00 = 12.85
x = 12.85 * 100 / 257.00
x = 5%
Result: 5% of $257.00 is $12.85.
Answers
Answer:
61°
Step-by-step explanation:
∠SPQ is a straight line, so it equals to 180°.
∠SPR is 119° and since we're looking for ∠QPR, we subtract 119° from 180°.
180° - 119° = 61°, so ∠QPR = 61°
Answer:
61 degrees
Step-by-step explanation:
Because SPQ is said to be a straight line, we know that a straight line in this kind of equation is equal to 180 degress.
Since we already know the measure to one angle (119), we would need to find the difference between 180 and 119, meaning we'd have to subtract.
(180-119)
Then we would just get the sum, which in this case, is 61 degrees.
Answers
Answer:
48 units
Step-by-step explanation:
Let x = the amount the large cup holds
36 = 75% of x
36 = .75x. (The word "of" indicates you will be multiplying)
36 ÷ .75 = x
48 = x