Answer:
70
Step-by-step explanation:
<u>Basic Concept: Geometry</u>
<u>Formula:</u>
<u>Area of a polygon = </u>
<u></u>
where p = perimeter and a = apothem
In this problem we are given the area and the apothem and we need to find the perimeter
To do so we want to plug what we are given into the formula and solve for the missing piece.
We are given the area (350) and the apothem (10)
So in the formula we would plug in 350 for the area and 10 for "a"
We would then have
<u>Basic Concept: Algebra</u>
Now we use basic algebra to solve for p (perimeter)
step 1 multiply each side by 2
now we have 700 = 10p
Step 2 divide each side by 10
700/10=70
10p/10=p
we're left with p = 70
So we can conclude that the perimeter is equal to 70
9514 1404 393
Answer:
cos(θ) = (5√74)/74
Step-by-step explanation:
The length of the hypotenuse is given by the Pythagorean theorem:
h = √(5² +7²) = √74
The cosine of the angle is the ratio of the adjacent leg to the hypotenuse:
cos(θ) = 5/√74 = (5√74)/74
There are 91 such ways in whih the volunteers can be assigned if two of them cannot be assigned from 14 volunteers.
Given that a school dance committee has 14 volunteers and each dance requires 3 volunteers at the door, 5 volunteers on the floor and 6 on floaters.
We are required to find the number of ways in which the volunteers can be assigned.
Combinations means finding the ways in which the things can be choosed to make a new thing or to do something else.
n
=n!/r!(n-r)!
Number of ways in which the volunteers can be assigned is equal to the following:
Since 2 have not been assigned so left over volunteers are 14-2=12 volunteers.
Number of ways =14
=14!/12!(14-12)!
=14!/12!*2!
=14*13/2*1
=91 ways
Hence there are 91 such ways in whih the volunteers can be assigned if two of them cannot be assigned.
Learn more about combinations at brainly.com/question/11732255
#SPJ1
a. Let's start with "the sum of one-half and one-third." Sum tells us to add. This would translate to 1/2 + 1/3. Now, it's telling you to find 1/5 of that. So you multiply this by 1/5.
Your final expression is (1/5)(1/2 + 1/3)
b. "the sum of nine and twelve" is more obvious; 9 + 12. Now, multiply it by "two and one-half"
Your final expression is (2 1/2)(9 + 12)
c. "difference between 1 1/2 and 3/4." Difference tells us to use subtraction. 1 1/2 - 3/4. "twenty-four divided by" tells you that that part of the equation belongs in the denominator.
Your final expression is 24 / (1 1/2 - 3/4)
Okay so first plug this in
8-5
——
5-6
3/-1
-3
Slope= -3
y=-3x+b
Next, plug in one of the points to find b.
5=-3(6)+b
5=-18+b
+18 +18
—————
23=b
y=-3x+23
Hope this helps!!
