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kondaur [170]
2 years ago
8

A sports team is selling circular patches for their fans. Each patch has a

Mathematics
1 answer:
atroni [7]2 years ago
4 0

Answer: 63.59cm²

Step-by-step explanation:

The area covered by the pitch will be gotten by finding the value of the area of the circle and this will be:

Area of q circle = πr²

where,

π = 3.14

r = radius = diameter/2 = 9cm/2 = 4.5cm

Area = πr² = 3.14 × 4.5²

= 3.14 × 20.25

= 63.59cm²

Therefore, the area covered by the pitch is 63.59cm²

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Line j has an equation of y - 8 = -2/3(x+5). Line K is perpendicular to line j and passes + through (-6, -2). What is the equati
riadik2000 [5.3K]

Answer:

y = \frac{3}{2} x + 7

Step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

y - 8 = - \frac{2}{3} (x + 5) ← is in point- slope form

with m = - \frac{2}{3}

given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{-\frac{2}{3} } = \frac{3}{2}

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept ) , then

y = \frac{3}{2} x + c ← is the partial equation

to find c substitute (- 6, - 2 ) into the partial equation

- 2 = - 9 + c ⇒ c = - 2 + 9 = 7

y = \frac{3}{2} x + 7 ← equation of line K

7 0
2 years ago
The sum of two integers is 26. the sum of the squares of the two integers is 340. what is the product of the two numbers?
Phoenix [80]
Lets say that the two unknown integers are n and m.

We know the following things about n and m:

n+m=26
n^2+m^2=340

And, we want to find nm.

To solve this, we'll use the expansion of the squared of the sum of any two inegers; this is expressed as:

(n+m)^2=n^2+2nm+m^2

So, given what we know about the unknown integers, the previous can be written as:

(26)^2=340+2nm

We can easily solve for nm:

nm= \frac{(26)^2-340}{2}= \frac{676-340}{2}= \frac{336}{2}=168

The answer is 168.

Another approach to solve the problem is, from the two starting equations, compute the values of n and m, which are 12 and 14, and directly compute their product; however, the approach described is more elegant. 
5 0
2 years ago
PLEASE HELP!! Find the missing side and round answer to the nearest tenth.
Mariulka [41]
I got 18. i did this by using the SOH CAH TOA method. In this case you have the the angle and the hypotenuse, and you’re looking for the adjacent side, therefore you need to use CAH
4 0
2 years ago
1/2 of 2/3 = 1/2 of ____ third(s) =____third(s)
adoni [48]
I'll write the equation again with the blanks filled in.

1/2 of 2/3 = 1/2 of two thirds = one third

2/3 is read as two thirds.

Half of 2/3 is 1/3, because 1/3+1/3=2/3

Hope this helps!
6 0
2 years ago
(5 + x) + 0 = 5 + x<br> What property is this
Paha777 [63]

Answer:

The Identity Property of Zero

Step-by-step explanation:

If you add 0 to any number, the result will be that number.

5 0
2 years ago
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