Answer:
a) 10
b) 9.8
Step-by-step explanation:
First, round it the nearest whole number:
9.7814 will round up to 10, since the decimal place .7 is larger than .5
Next, round to one decimal place:
9.7814 will round to 9.8, since the 0.08 will round the 0.7 up to 0.8
a) 10
b) 9.8
Answer:
The sets of values that correctly completes the t-chart are:
7, -1, 7
Hence, option B is true.
Step-by-step explanation:
Given the equation
y = 2x² - 1
FOR x = -2
substitute x = -2 in the equation
y = 2x² - 1
y = 2(-2)² - 1
y = 8 - 1
y = 7
FOR x = 0
substitute x = 0 in the equation
y = 2x² - 1
y = 2(0)² - 1
y = -1
FOR x = 2
substitute x = 2 in the equation
y = 2x² - 1
y = 2(2)² - 1
y = 8 - 1
y = 7
Thus, the t-chart becomes:
x y
-2 7
0 -1
2 7
Thus, the sets of values that correctly completes the t-chart are:
7, -1, 7
Hence, option B is true.
Option B) 37.12 is the right answer
Step-by-step explanation:
It is given that the qudrilateral is a rectangle which means that opposite sides wil be equal and all interior angles will be 90 degrees
So
PS = 17
PQ = SR = 33
The diagonal PR will form a right-angles triangle with PR being the hypotenuse
So,
Base = SR = 33
Perpendicular = PS = 17
Hypotenuse = PR = ?
The Pythagoras theorem will be used to find the length of PR
So,

Taking square root on both sides

Rounding off to nearest 100th
PR = 37.12
Hence,
Option B) 37.12 is the right answer
Keywords: Triangle, Pythagoras theorem
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We know angles 3 and 4 = 123°. We also know that they are both located on a straight line, which is 180°. If we subtract 123 from 180, we get 57°, which is the size of the two angles in the smaller triangle KTL is located in.
Now, if we add up all the angles of a triangle, we get 180. With that knowledge, we can subtract 114° (57 x 2) from 180 and get out answer, which is 66°.