Answer:
B 41.4
Step-by-step explanation:
complete Pythagoras for general triangles :
c² = a² + b² - 2ab×cos(C)
with "c" being the side opposite of the angle C.
=>
8² = 10² + 12² - 2×10×12×cos(C)
64 = 244 - 240×cos(C)
240×cos(C) = 244 - 64 = 180
cos(C) = 180/240 = 18/24 = 3/4 = 0.75
C = 41.40962211... ≈ 41.4
Answer:
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Answer:
The coordinates of P' are (4.8,-4.8).
Step-by-step explanation:
The rule of dilation
represent the dilation with scale factor 2.4 and center at origin.
If the scale factor of the dilation is k and the center is (0,0), then

Since the scale factor is 2.4, therefore

From the given figure it is noticed that the coordinates of P are (2,-2). The coordinates of P' are


Therefore the coordinates of P' are (4.8,-4.8).
Answer:
The unit rate in miles per hour = <em>1.4 miles/hr</em>
Step-by-step explanation:
Given that:
Distance walked by Boardman family = Two over five of a mile = 
Time taken by Boardman family = Two over seven of an hour = 
To find:
The unit rate in the miles per hour = ?
Solution:
Formula for the rate or the speed can be given as:

Putting the values:

So, the unit rate in miles per hour = <em>1.4 miles/hr</em>
Answer:
Step-by-step explanation:
-12 = 12 ....this is incorrect...meaning no solutions
**
if it ended in :
x = a number, or y = a number...means there is 1 solution
if it ended in :
-12 = 12....incorrect answer, means there is no solutions
if it ended in :
2 = 2 or -4 = -4....correct answer, but not variable...means infinite solutions