Using sin law;
sin A/ a = sinB/ b
where A = C or 90 degrees; a = 21
B = ? , b = 8
solving for b;
sin(90) / 21 = sin(B) / 8 ; B = 22.39 degrees
Total angle of triangle = 180
180 - 90 - 22.39 = x
x = 67.607 degrees
Answer:
127.28 feet
Step-by-step explanation:
Given
Shape of basketball diamond = Square
Length of a side = 90 feet
If the length of a side is 90 feet then the length of other sides is 90 feet.
By finding how far the catcher, at home plate, throw to get the runner "out", we are basically finding the distance from 2nd base to home
This means we're calculating the diagonal of the field..
(Since the field is a square, it has a right angle at 1st base)
Let the diagonal be representing by x.
From Pythagoras,
x² = 90² + 90²
x² = 8100 + 8100
x² = 16200
x = √16200
x = 127.2792206135785
x = 127.28 feet ------ Approximated
4.4 x 10^-4
Hope this helps!
Answer:
C.
Step-by-step explanation:
please mark brainlist
Answer:If she buys 60 tiles, the cost at both shops is the same.
If she buys less than 60 tiles, then the second shop is cheaper.
If she buys more than 60 tiles, then the first shop is cheaper.
Step-by-step explanation:
Explanation:
Let the number of tiles be
x
At the first shop: Cost =
$
0.79
×
x
+
$
24
=
0.79
x
+
24
At the second shop: Cost =
$
1.19
×
x
=
1.19
x
If the cost is the same:
1.19
x
=
0.79
x
+
24
←
solve for x
1.19
x
−
0.79
x
=
24
0.4
x
=
24
x
=
24
0.4
x
=
60
tiles
If she buys less than 60 tiles, then the second shop is cheaper.
If she buys more than 60 tiles, then the first shop is cheaper.
