Answer:
a = 3
Step-by-step explanation:
Here you can use the cross multiplication strategy or whatever it's called. That's where you multiply the diagonals together. Its kinda long to explain, but you can google it for details.
In either case, you get the following equation:
8(2a-1) = 4(a+7)
Open the parenthesis
16a - 8 = 4a + 28
Subtract 4a from both sides
12a - 8 = 28
Add 8 to both sides
12a = 36
Divide both sides by 12
a = 3
Sorry for weird formatting I'm on an ipad.
Y=1/3x-4
<span>y = mx + b
m is ur slope
b is ur y-intercept
just plug in the numbers w the letters
</span>
Answer:
C. They are equal
Step-by-step explanation:
The volume of a cone is
V = (1/3)πr²h where r is the radius, and h is the height.
The volume of this cone is...
V = (1/3)π(5²)(9)
V = (1/3)π(25)(9)
V = (225/3)π
V = 75π
The volume of a cylinder is
V = πr²h where r is the radius and h is the height
The volume of this cylinder is
V = π(1²)(75)
V = 75π
Answer:
a) a = 7.37, b = 15.13, C = 67°
b) 1 triangle
Step-by-step explanation:
<h3>a)</h3>
Two angles and one side are given. That means the triangle is uniquely determined, and the remaining sides can be found from the Law of Sines.
The third angle is ...
C = 180° -A -B = 180° -29° -84° = 67°
Then the Law of Sines tells you ...
a/sin(A) = b/sin(B) = c/sin(C)
a = sin(A)/sin(C)·c = sin(29°)/sin(67°)·14 ≈ 7.37
b = sin(B)/sin(C)·c = sin(84°)/sin(67°)·14 ≈ 15.13
__
<h3>b)</h3>
Ordinarily, when the given angle (B = 30°) is opposite the shorter of the given sides (b = 10 < a = 20), it means there are two possible solutions to the triangle.
However, when the sine of the angle is exactly equal to the ratio of the given sides: sin(30°) = 10/20 = 1/2, the larger angle can only be 90°. That is, the one triangle that can be formed is a right triangle.
The Law of Sines tells you this.
sin(A)/a = sin(B)/b
sin(A) = (a/b)sin(B) . . . . . . multiply by 'a'
A = arcsin(a/b·sin(B)) = arcsin(20/10·sin(π/6)) = arcsin(1)
A = 90°
Answer:
RLS is a straight angle
RLT is an obtuse angle
TLS is an acute angle
TRL is not an angle
TLU is a straight angle
SLU is an obtuse angle
SLT is an acute angle
ULR is an acute angle
and ULS is an obtuse angle
Step-by-step explanation:
You really just have to look at the angles from either of the straight angles (angles that are 180°) perspective and see of they lean more to make a smaller angle by leaning towards the other end of the angle, or a large one by leaning away from the opposite end.
