Answer:
cute scalene triangle.
Sides: a = 1 b = 2 c = 1.906
Area: T = 0.94
Perimeter: p = 4.906
Semiperimeter: s = 2.453
Angle ∠ A = α = 29.543° = 29°32'36″ = 0.516 rad
Angle ∠ B = β = 80.457° = 80°27'24″ = 1.404 rad
Angle ∠ C = γ = 70° = 1.222 rad
Height: ha = 1.879
Height: hb = 0.94
Height: hc = 0.986
Median: ma = 1.888
Median: mb = 1.147
Median: mc = 1.262
Inradius: r = 0.383
Circumradius: R = 1.014
Vertex coordinates: A[1.906; 0] B[0; 0] C[0.166; 0.986]
Centroid: CG[0.691; 0.329]
Coordinates of the circumscribed circle: U[0.953; 0.347]
Coordinates of the inscribed circle: I[0.453; 0.383]
Exterior (or external, outer) angles of the triangle:
∠ A' = α' = 150.457° = 150°27'24″ = 0.516 rad
∠ B' = β' = 99.543° = 99°32'36″ = 1.404 rad
∠ C' = γ' = 110° = 1.222 rad
Step-by-step explanation:
Answer: 84.14
Step-by-step explanation:
Area of the rectangle is L*W=B*H
14*5=70
To find the area of the half circle we must use the formula pi r^2/2
r=radius
and the radius is 6 because we add 4 and 4 and need to get to 14
because the line below it is 14 and it is a rectangle so the lengths are the same.
Diameter=6
So radius =3
pi (3)^2/2=
9/2 pi + 70=
84.14
Answer:
4. x=120
5. x=65
9. x=150
10. x=45
Step-by-step explanation:
4. Half=180
There is already a 60, so you do 180-60=120. x=120.
5. This is a parallel line, so you determine the opposite angle of 115, which is 65. That just becomes the x. x=65
9. It is similar to #5, You look at the opposite side of 30 (15+15) which is 150. That just comes to the other side which is x=150.
10. A triangle has 180 degrees in total. 45 degrees is already given, and line j is 90 degrees which means a full line is 180. 180-90=90.
90+45=135
180-135=45
x=45
Hope this helped!
29.) This is simply interpreting the linear function.
The function:
96+2.1x
a.) The 96 is what you start with from the beginning. So, we know Rachel weighed 96 ounces when she was born.
b.) Again, interpretation. The 2.1 is the slope, or the change in the line. So we know that Rachel gains 2.1 ounces each day.
30.) For this one, you just have to plug 9 into the equation for x.
Answer:
The numerical expression is simplified into 8.
Step-by-step explanation:
You have to use the P.E.M.D.A.S. formula.
16-8[(3+6)÷9]
Solve the brackets(parenthesis) first.
Inside the brackets, you have to use the P.E.M.D.A.S. formula once again, as if it was a different equation.
16-8[(9)÷9]
Once you've found the solution to the equation 3+6 inside the parenthesis, you divide it by 9.
16-8[1]
Then, since there are no exponents, you multiply.
16-8
Then you subtract.
8