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raketka [301]
4 years ago
8

What is the length of the longest side of a right triangle if the two shorter sides are 5cm and 12 cm?

Mathematics
1 answer:
Leno4ka [110]4 years ago
8 0

Answer:

13cm

Step-by-step explanation:

Using Pythagoras theorem, we have

H^2 = 5^2 + 12^2

= 25 + 144

= square root of 169

= 13cm

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Solve the triangle.
Reika [66]

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:

7 0
3 years ago
Find the area of the figure. round your answer to the nearest hundredth
liraira [26]

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

6 0
3 years ago
Read 2 more answers
PLEASE HELP DUE NOW!!!!
Alex Ar [27]

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!

8 0
3 years ago
Read 2 more answers
Can someone help me with this please?
Elena-2011 [213]
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.
6 0
3 years ago
HalP dIs iS cOnfUsiNg tO mEh plEasEeeE ;(
saul85 [17]

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

6 0
4 years ago
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