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Romashka-Z-Leto [24]
3 years ago
10

Construct a line perpendicular to line AB through C.

Mathematics
1 answer:
aleksklad [387]3 years ago
7 0

Answer:

Step-by-step explanation:

construct a semicircle with center at C and cutting line AB at D and E.

With D and E as centres draw two arcs with same radius cutting at P and Q.

Join P and Q. It is the required perpendicular.

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What is the reference angle of -3 radians? Explain.
Korolek [52]

Reference angle of -3 radians is α= - 171° 53 min 15 sec .

We know the formula for calculating circular arc

Let l=circular arc which ic according to central angle of the circle α

l=((2R π)/360)α  Let l=1 radian and R=1 (unit circle with radius R=1)

1= ((2π)/360)α => α= 360/(2π)= 180/π= 57° 17 min 45sec

Angle of the 1 radian is equal to angle 57° 17min 45sec

According to this

angle of the  -3 radians = -3 ( 57° 17min 45sec) = - 171° 53min 15sec

when you count in the clockwise direction.

Good luck!!!


8 0
4 years ago
Find four consecutive integers whose sum is 682.
Vitek1552 [10]
Because they're consecutive, it means that the first one is x, the second one is x+1, the third one is x+2 (x+1+1), and the fourth one is x+3. Because we're given that the sum of all of them is 682, just add all of them together:
x+(x+1)+(x+2)+(x+3)=682
x+x+x+x+1+2+3=682
4x+6=682
4x+6-6=682-6
4x=676
x=676/4
x=169
Thus, the consecutive integers are: 169, 170, 171, 172
5 0
3 years ago
Read 2 more answers
Find the missing side the side of the triangle help
IrinaVladis [17]

Answer: X = 12.1 units

Step-by-step explanation:

Solving the side x of the triangle just requires the Pythagorean theorem.

x^2 + 7^2 = 14^2

x^2 + 49 = 196

subtract 49 on both sides, to cancel the 49 on the left side.

x^2 = 147 units

extract the square root of each side.

X = 12.1 units

Hope I Helped!

3 0
2 years ago
What is the solution to the system of equations? 3x - 6y = - 12 x - 2y = - 8 Use the substitution method to justify that the giv
Wittaler [7]

Answer:

There is no solution to this system.

Step-by-step explanation:

The left side of the first equation is 3 times the left side of the second one.

If we multiply the whole of the second equation by 3 we get:

3x - 6y = -16.

As the first equation is 3x - 6y = -12 we see that there is no solution to this system.  3x - 6y can't be equal to -12 and -16.

3 0
3 years ago
Raul has 4/5 pound of modeling clay. He needs to divide the clay into bags that hold 1/10 pound each. How many bags will he fill
____ [38]

Answer:

The Answer would be 8.

Step-by-step explanation:

I just did a quiz with this exact question

5 0
3 years ago
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