Answer: x < 3
Step-by-step explanation:
To solve this inequality, we will simplify and isolate the x variable.
Given:
5x - 4 < 2x + 5
Add 4 to both sides:
5x < 2x + 9
Subtract 2 from both sides:
3x< + 9
Divide both sides by 3:
x < 3
Answer:
(–5, 12) is the correct answer.
Step-by-step explanation:
We are given the following values:

Now, we know the following identities:

Now, the values are:

Sine value is positive and cos, tan values are negative.
It can be clearly observed that
is in 2nd quadrant.
2nd quadrant means, the value of
will be negative and
will be positive.
Let us have a look at the value of
:

Please refer to the attached image for clear understanding and detailed explanation.
Hence, the correct answer is coordinate (x,y) is (–5, 12)
Answer:
0.6625
Step-by-step explanation:
To find the surface area, calculate the area of each shape and add it together, A pyramid has 1 square and 4 triangles in its net,
Area of square is A=s*s=0.25*0.25=0.0625.
Area of a triangle is A= 1/2 b*h = 1/2 (0.25)(1.2) = 0.15.
There are four equal triangles so together there area is 4*0.15 = 0.60.
Add the square to it and you have the surface area of the pyramid.
0.0625 + 0.60 = 0.6625
Step-by-step explanation:
x=1.69
Answer:
9.65×10¹⁴
Step-by-step explanation:
The 9 of 9.65 has been moved 14 places to the left to get to its position in 965,000,000,000,000. That is, its value has been multiplied by 10¹⁴.
_____
If you were to write 965,000,000,000,000 in expanded form, you would write it as ...
... 9×10¹⁴ +6×10¹³ +5×10¹² +0×10¹¹ +... +0×10⁰ = 9.65×10¹⁴
The first term of this sum is a clue as to how the number is written in scientific notation,