Step-by-step explanation:
well, the arcs WS and ST together are the full half-circle and therefore 180°.
that means
5x + 37 + 3x - 9 = 180
8x + 28 = 180
8x = 152
x = 19
Answer:
96 cm^2
Step-by-step explanation:
The triangle can be split into 2 6-8-10 triangles, each with area 24. The bottom parallelogram area is base times height, or 8 * 6, so 48. 24 + 24 + 48 is 96.
Answer:
the point is (3, 3) . . . . . . y = 3
Step-by-step explanation:
Write the point-slope equation of the line through the point you know. Then evaluate that equation for x=3 to see what the value of y is.
Point-slope form:
y = m(x -h) +k . . . . slope m through point (h, k)
y = -1/2(x -9) +0 . . . . line with slope -1/2 through point (9, 0)
For x=3, the value of y is ...
y = -1/2(3 -9) + 0 = -1/2(-6) = 3
The value of y is 3.
Answer:
Hence, the value of y is undefined.
Step-by-step explanation
from the property, log_a (b) = (log(a))/log(b).
The value log (-7) was not defined. So, the entire log value also not defined.
Hence, the value of y is undefined.
Answer:
6 titles and 16 acts were elaborated
Step-by-step explanation:
Let the number of titles be t and the number of acts be a
Since the total is 22 operations:
a + t = 22 •••••••(i)
Total amount from titles = 3500 * t = 3500t
Total amount from acts = 2000 * a = 2000a
2000a + 3500t = 53,000 ••••••(ii)
From i, a = 22-t
Insert this in ii
2000(22-t) + 3500t = 53,000
44,000 - 2000t + 3500t = 53,000
1,500t = 53000-44000
1500t = 9000
t = 9000/1500
t = 6
But a = 22 -
= 22-6 = 16
