Answer:
black line <3
Step-by-step explanation:
the slope is -2 :)
Answer:
10
β![)](https://tex.z-dn.net/?f=%29)
Step-by-step explanation:
We can find this two ways, first by seeing in the step after it, cosines are canceled out. Since you already have 10
β
on the next step, you can assume that (since only the cosines changed and the cosine next ot the blank was removed), the value is 10
β
.
You can also use double angle formulas from the previous step:
(sin(2β) = 2 sin(β) cos(β))and find that:
5 sin (2β) sin(β) = 5 * (2 sin(β) cos(β)) sin(β)) = (10 sin(β) sin(β)) cos(β) =
10
β
cos(β)
But since cos(β) is already present, we can see that the answer is 10
β![)](https://tex.z-dn.net/?f=%29)
Answer:
The answer is either (3) or (4) because drawing a line of best fit and finding its gradient is going to give you a negative answer
Answer:
125.141
Step-by-step explanation:
Assuming that this is an equilateral triangle, I am going to divide this triangle in half to get a right triangle.
17 is our hypotenuse
17/2 = 8.5, this is one of our legs
The other leg is our height, which we will find.
We use Pythagoras Theorem to find the height/leg: ![a^{2} +b^{2} =c^{2}](https://tex.z-dn.net/?f=a%5E%7B2%7D%20%2Bb%5E%7B2%7D%20%3Dc%5E%7B2%7D)
![17^{2} -8.5^{2} = 216.75](https://tex.z-dn.net/?f=17%5E%7B2%7D%20-8.5%5E%7B2%7D%20%3D%20216.75)
= 14.72243186
Now, we use another formula to find the area of the triangle: ![\frac{Base*Height}{2}](https://tex.z-dn.net/?f=%5Cfrac%7BBase%2AHeight%7D%7B2%7D)
14.72243186 × 17 = 250.2813416
250.2813416 ÷ 2 = <u>125.1406708</u>
Answer:
740
Step-by-step explanation:
The n th term of an arithmetic series is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₃ = 7 and a₇ = (3 × 7) + 2 = 21 + 2 = 23 , then
a₁ + 2d = 7 → (1)
a₁ + 6d = 23 → (2)
Subtract (1) from (2) term by term
4d = 16 ( divide both sides by 4 )
d = 4
Substitute d = 4 into (1)
a₁ + 2(4) = 7
a₁ + 8 = 7 ( subtract 8 from both sides )
a₁ = - 1
The sum to n terms of an arithmetic series is
=
[ 2a₁ + (n - 1)d ] , thus
=
[ (2 × - 1) + (19 × 4) ]
= 10(- 2 + 76) = 10 × 74 = 740