Factor out 12t to get 12t(9t-5)
Question:
Solve each calculation. Be sure to report your answer with the correct number of significant figures.
5.61000 dg × 1.1010 dg
12.0 m ÷ 3.1415 m
Answer:
1. 
= 
2. 
Step-by-step explanation:
1. 5.61000 dg × 1.1010 dg
We start by representing each digit using scientific notation
Then, Multiply both numbers
First, rearrange
From law of indices, 
;
So, we have
Because 5.61000 is given in 3 significant figures and 1.1010 is given in 4 significant figures, we approximate the result to 4 significant figures
This gives 
Hence, =
2.
12.0 m ÷ 3.1415 m
Using proper notation
12.0 m ÷ 3.1415 m = 
We start by representing 3.1415 using scientific notation
By substitution;
Take 
to the numerator
From law of indices, 
= 10000
Multiply
Divide
Because 12.0 is given in 2 significant figures and 3.1415 is given in 5 significant figures, we approximate the result to 5 significant figures
Answer:
(B) Segments MA and MB
Step-by-step explanation:
The tangent to the circle at a point is perpendicular to the radius of the circle drawn to the point of tangency.
Tangent at a point is unique.
Since there can be no two tangents at a point on circle, the options (b) and (c) are ruled out.
Now, if OA is perpendicular to MA, MA is the tangent else if OA is perpendicular to PA, PA is the tangent. Same is the case with point B.
Tangents from the same external point has same length.
MA = MB since they are the radii of the same circle with center M.
Hence, MA and MB meet all the requirements of the tangents.
Answer:
70 cm^3; 1000 cm^3; 343 cm^3; 30 cm^3; 48 cm^3
Step-by-step explanation:
to find the volume to all of these shapes you can just multiply all the sides together
one looks like this
2 * 5 * 7 = 70
70 is the answer for the first one
you repeat this 4 more times
since a cube has all equal sides for 2 and 3 you can just cube your side length
10^3 = 1000
7^3 = 343
afterwards since they are all just rectangular prisms you can just multiply all the sides together
1 * 5 * 6 = 30
4 * 6 * 2 = 48
those are your answers
dont forget to add ^3 behind the cm
angles a and b are supplementary because they form a straight line
