In (5,0), five represents how many times he will move over in the X axis. Since it’s zero, you do not move at all. However you will move five spot up, because the five is on the Y axis. Then, he will do the same thing with your second pair of coordinates. You do not move on the X axis, but you will move two spots down on the Y axis. Then, trace your pencil between the two dots. You will notice that it passes seven intersections, so your answer will be seven units.
Answer:
The length of each leg = 5 units
The length of the base = 4 units
Step-by-step explanation:
Isosceles Triangle is a triangle with any two sides of it in equal measure.
Perimeter of a triangle = SUM OF ALL SIDES
Now, Perimeter of the triangle = 14
Let length of each leg = a
So, the length of the other leg is also a.
And, the base of the triangle is a -1
Now, as perimeter is 14.
⇒a + a + (a -1) = 14
or, 3 a = 14 + 1
⇒ 3 a = 15, or a = 15/3 = 5
Hence, the length of each leg = 5
And the length of the base = (a -1) = (5-1) = 4 units
Answer: 1. 3 1/6
Step-by-step explanation:
Volume = 4/3×pi×r^3
= 4/3×3.14×12^3
= 7234.56
~ 7235
Answer:
Cos(15) = Cos(45-30)
Sin(15) = Sin(45-30)
Cos(45-30) - Sin(45-30)
Simplifying both brackets
Recall
Cos(A+B) = CosACosB - SinASinB (For cosine... The sign is always the opposite during expansion. If you look... Cos(A+B) became negative during its expansion;So if It was Cos(A–B)... Its expansion is CosACosB + SinASinB)]
Sin(A+B) = SinACosB + CosASinB
Now let's go!
Cos(45-30) = Cos45Cos30 + Sin45Sin30
From Trig
Cos45 = 1/√2
Cos30 = √3/2
Sin45 = 1/√2
Sin30 = 1/2
Substituting
Cos(45-30) = (1/√2).(√3/2) + (1/√2).(1/2)
= √3/(2√2) + 1/(2√2)
= 1 + √3/(2√2).
For
Sin(45 - 30)
= Sin45cos30 – Cos45Sin30
= (1/√2).(√3/2) – (1/√2).(1/2)
= √3/(2√2) – 1/2√2
= √3 – 1/(2√2)
So the question was
Cos15 - Sin15
Substituting...
1 + √3 / 2√2 – (√3 - 1)/ 2√2
When the Minus interacts with the parenthesis
We have
1 + √3 - √3 + 1 / (2√2)
= 2/2√2
= 1/√2.
THE ANSWER IS 1/√2 AND NOT 1/2.
YOU CAN VERIFY THIS WITH YOUR CALCULATOR ALSO.
YOU'LL HAVE 0.7071 WHICH IS SAME AS 1/√2.
HAVE A GREAT DAY!
