We have that
<span>tan(theta)sin(theta)+cos(theta)=sec(theta)
</span><span>[sin(theta)/cos(theta)] sin(theta)+cos(theta)=sec(theta)
</span>[sin²<span>(theta)/cos(theta)]+cos(theta)=sec(theta)
</span><span>the next step in this proof
is </span>write cos(theta)=cos²<span>(theta)/cos(theta) to find a common denominator
so
</span>[sin²(theta)/cos(theta)]+[cos²(theta)/cos(theta)]=sec(theta)<span>
</span>{[sin²(theta)+cos²(theta)]/cos(theta)}=sec(theta)<span>
remember that
</span>sin²(theta)+cos²(theta)=1
{[sin²(theta)+cos²(theta)]/cos(theta)}------------> 1/cos(theta)
and
1/cos(theta)=sec(theta)-------------> is ok
the answer is the option <span>B.)
He should write cos(theta)=cos^2(theta)/cos(theta) to find a common denominator.</span>
The answer is 1 over 3(3.14)(5²)(8)
The volume of the cylinder (V1) is:
V1 = π · r² · h (r - radius, h - height)
The volume of the cone (V2) is:
V2 = 1/3 π · r² · h (r - radius, h - height)
It is given:
r = 5 feet
h = 8 feet
π = 3.14
Therefore, the volume of the cone is:
V2 = 1/3 · 3.14 · 5² · 8 which is the same as 1 over 3(3.14)(5²)(8).
Jake puts 6 stamps in his book every day.
30/6= 5
Jake put stamps in the book for 5 days.
So, Dan puts 5 stamps in the book every day.
5*5= 25
Dan has 25 stamps when Jake has 30.
I hope this helps!
~kaikers
I’m not extremely good at math but I think you need to make -x-y=1 into y=mx+b form and then solve your new equation!
11. y = -23x - 21
You can get this by starting with y = mx + b (slope intercept form). Then put in all the knowns and solve for the b.
2 = -23(-1) + b
2 = 23 + b
-21 = b
Then add that to the end of the equation with m = -23
12. -5
The y-intercept of an equation is always the number added on at the end of an equation. It is also the number with no x attached to it.
13. 8x^9y^6
When you use the law of exponents, you need to make sure the exponent goes to each individual term. When we cube the 2, it becomes 8. When you cube x^3, you get x^3*x^3*x^3 or x^9. And with y^2 you get y^6
