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3 years ago

1. What is the measure in radians for the central angle of a circle whose radius is 6 cm and intercept arc length is 5.4 cm?

1 answer:

5 0

Hello!

1.
find circumferece
c=2pir
c=2*6*pi=12pi
intercept is 5.4

2pi radians=all

part/whole=part/whole
5.4/12pi=x/2pi
times both sides by 12pi
5.4=6x
divide both sides by 6
0.9=x
answer is 0.9 radians

2.
assuming 9pi/5 radians

find circumference
c=2pir
c=2*26.9*pi
c=53.8pi

arc/circumference=(9pi/5)/2pi

x/(53.8pi)=(9pi/5)/(2pi)
x/(53.8pi)=18/5
times both sides by 53.8pi
x=608.46266 m
about x=608.46 m

Hope this Helps! Have A Wonderful Day! :)

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Cant find the answer

dedylja [7]

Answer:

Carter family = 25 hours

Davis family = 31 hours

Step-by-step explanation:

Let's say the number of hours the Carter family used their sprinkler is x and the number of hours the Davis family used their sprinkler for is y.

So combined:

x + y = 45 hours

and we are also told that:

40x + 15y = 1300 L

So we can do simultaneous equations to solve the problem.

With some rearranging, we can figure out that:

y= 45 - x

and by substituting that into the second equation:

40x + 15 (45 -x) = 40x + 675 - 15x = 1300L

25x = 1300 - 675

25x = 625

x = 25 = hours that the Carter family used their sprinkler

and we can substitute that back into the original equation to find how many hours the Davis family used their sprinkler so:

25 + y = 56

y = 31

The Davis family used their sprinkler for 31 hours whilst the Carter family used their sprinkler for 25 hours.

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2 years ago

What additional information would you need to prove by the HL theorem?

Butoxors [25]

Answer:

Answer: A $\overline{TM}\cong \overline{OR}$

Step-by-step explanation:

The HL Theorem states that if the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then the two triangles are congruent.

Triangles TRO and OMT share the hypotenuse, so the first part of the theorem is met.

Both triangles are right because they have an internal angle of 90°, so the second condition is also met.

Since there is no indication of any leg to be congruent to another leg, we need additional information to prove that both triangles are congruent.

One of these two conditions should be met:

Side TM is congruent to side OR, or

Side MO is congruent to side RT.

From the available options, only the first is correct.

Answer: A $\mathbf{\overline{TM}\cong \overline{OR}}$

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3 years ago

The coordinates of DEF are D(3,4), E(6,4), and F(5,9). If you translate DEF 3 units left and 2 units up, what are the coordinate

grigory [225]

EXPLANATION:

1.We must locate the points that the exercise gives us in the Cartesian plane.

2.The figure that it gives us must be moved 3 units to the left and then 2 units up.

3.To correctly translate a figure, we must add the units that the exercise indicates and towards the correct direction, if it tells us that to the left is towards the negative axis, then each of the points given in the exercise we will transfer 3 units towards the left and then add each of the points two units up, then we see that the triangle takes new coordinates for the points.

4.The new coordinates for point E are (3,6)