Answer:
16.9 m
Step-by-step explanation:
Start with a half a circle. The central angle of a semicircle is 180 deg.
Now subtract 21 deg on each side.
180 - 21 - 21 = 138
The central angle is 138 deg.
The radius is 7 m.
Now we use the formula for the length of an arc of a circle given the radius of the circle and the central angle of the arc.



Answer:
a. Required system of equations is:
c+p = 10
5c+4p = 46
b. 6 cakes were sold
Step-by-step explanation:
Let p be the number of pies and c be the number of cakes.
Then according to given statement " the store sold 10 baked goods"

And
"A cake costs $5 and a pie costs $4"

Using equation 1,

Putting this value of c in equation 2:

Putting p = 4 in equation 1

Hence,
a. Required system of equations is:
c+p = 10
5c+4p = 46
b. 6 cakes were sold
n(AxB) = 25
Step-by-step explanation:
AxB in sets is called Cartesian product. And is defined as a set of ordered pairs (a,b) where a belongs to A and b belongs to B.
Given
A = {a,b,c,d,e}
B = {1,2,3,4,5}
The number of elements for Cartesian product of two sets is determined by:

Here

So,

Hence,
n(AxB) = 25
Keywords: Sets, Cartesian Product
Learn more about sets at:
#LearnwithBrainly
Answer:
x = 12
Step-by-step explanation:
3х+7 = 5x-17
-2x = -24