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Natali5045456 [20]
3 years ago
8

The perimeter of a semicircle is 46.26 meters. What is the semicircle's diameter?

Mathematics
1 answer:
barxatty [35]3 years ago
8 0

Answer:

diameter = 18 m

Step-by-step explanation:

46.26 = 1/2π(diameter) + diameter

46.26 = 1.57d + d = 2.57d

d = 46.26/2.57 = 18 m

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Given QT = SR, QV = SU, and the diagram, prove that triangles QUT and SVR are congruent. Write a paragraph proof.
QveST [7]

Answer:

Triangles QUT and SVR are congruent because the defining two sides and an included angle of triangles QUT and SVR are equal

Step-by-step explanation:

Here we have QT = SR and

QV = SU

Therefore,

QT = √(UT² + QU²)........(1)

RS = √(VS² + RV²)..........(2)

Since QS = QU + SU = QV + VS ∴ QU = VS

Therefore, since SR = QT and QU = VS, then from (1) and (2), we have UT = RV

Hence since we know all sides of the triangles QUT and SVR are equal and we know that the angle in between two congruent sides of the the triangles QUT and SVR that is the angle in between sides QU and UT for triangle QUT and the angle in between the sides RV and VS in triangle SVR are both equal to 90°, therefore triangles QUT and SVR are congruent.

5 0
3 years ago
Julian wrote this number pattern on the board:
geniusboy [140]

Answer:


Step-by-step explanation:


10, 24 and 38 are composite numbers.


(10 can be divided by 5 and 2; 24 can be divided by 8, 3, 12 and 2; 38 can be divided by 19 and 2).


The others are prime numbers.

3 0
3 years ago
Distribute! only 5 problems!
Dominik [7]

Answer:

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Step-by-step explanation:

4 0
3 years ago
In circle P, if the radius is 3 cm, what is the length of arc AD?
umka21 [38]

Hello there.

We have for a circle that:

\ell=\alpha r

Where:

\ell is the measure of the arc

\alpha is the measure of the angle (radians)

r is the radius of the circle


In our case, we have \alpha = 120^\circ = \dfrac{120}{180}\pi = \frac23\pi ~rad

We have r = 3 cm, then:

\ell = (\frac23\pi )(3\ cm)\\ \\ \boxed{\ell = 2\pi~cm}

8 0
3 years ago
How do you divide 24,986.73 by 216.06?
REY [17]
249863.73/216.06
=115.6471
8 0
3 years ago
Read 2 more answers
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