Step-by-step explanation:
Before we answer, the area of a Circle given it radius is
The area of a circle given it diameter is
So let answers question 1-4.
1. The area is
2. The area is
3.
4.
For the 5th problem, circumference is
where d is the diameter and
where r is the radius.
A circumference of 100 m means the radius is 50 because
So this means the area is
Answer:
∠B = 62°
Step-by-step explanation:
Because ∠A and ∠B are vertical angles they are equal hence we can write
∠A = ∠B
8x + 14 = 2x + 50
Now we have to solve for x
To do so, subtract 2x on both sides of the equation:
6x + 14 = 50
Now, subtract 14 on both sides of the equation
6x = 36
Now, divide 6 on both sides of the equation
x = 6
To find m∠B you have to you have to plug in x = 6 back into the ∠B equation
∠B = 2(6) + 50
∠B = 62°
Answer:
A; infinitely many solutions
Step-by-step explanation:
first, let's simplify the first equation to make it simpler.
divide both sides by 5
y=3x-8
new system
y=3x-8
y=3x-8
as you can see, they are the same.
not mandatory but useful!⬇⬇⬇⬇
just to be more clear, let's substitute them. since they're both already in y=, we can make them both set to each other.
3x-8=3x-8
add 8 to both sides; subtract 3x from one side
0=0
the answer is A, Infinitely many solutions.
hope this helped <3333333
Answer:
Heyy
Step-by-step explanation:
△ABC is a right angled triangle and right angle at B
sinA=
AC
BC
, cosA=
AC
AB
⟹sinA+cosA=
AC
BC
+
AC
AB
=
AC
BC+AB
[We know that sum of two sides of a triangle is greater than the third side]
⟹sinA+cosA>
AC
AC
=1
Hence, sinA+cosA>1
