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arlik [135]
3 years ago
5

True ot false? K = 3 over 5 is a solution to the inequality 15k + 3 < 15.

Mathematics
1 answer:
AysviL [449]3 years ago
5 0
True, 15k and 3 is the same and greater than
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If an angle of 11pi/30 radian is in standard position. What is the reference angle in radian?
bixtya [17]

Answer:

\frac{11\pi}{30}

Step-by-step explanation:

The reference angle is an acute angle that angle in standard position makes with the positive x-axis.

The given angle in radians is

\frac{11\pi}{30}

This angle is already acute and hence it is itself a reference angle.

The reference angle of any angle in the first quadrant is the same angle.

4 0
3 years ago
Is it more difficult to run up a ramp with a slope of 1/5 or a ramp with a slope of 5? Explain.
stich3 [128]

Is it more difficult to run up a ramp with a slope of 1/5 or a ramp with a slope of 5? Explain.  

a dlope of 1/5 is walkable; a slope of 5 is not without climbing gear.

6 0
3 years ago
Three vertices of parallelogram ABCD are A(2,-6),B(-1,2),C(5,3).find the coordinates of vertex D
salantis [7]

Check the first picture below.


for a parallelogram, it has to have two pairs of parallel sides, so BC || AD and AB || CD.

if two lines are parallel, they have the same slope, namely the <u>same rise and run</u>.

notice, the line BC has a run of 6 and a rise of 1, <u>arrows in red</u>, therefore, AD must also have a run of 6 and a rise of 1, so if we move from A 6 units over and 1 up, we'd end up at point D.


now, for part atop

Check the 2nd picture, in a parallelogram, opposite sides are parallel and opposite angles are equal, so if WLP is 144°, then PNW is also 144°.

in a parallelogram, diagonals bisect each other, so each cut the other in halves, so if PM is 9 then MW is also 9 and thus PW is just 9+9=18.


now, about QRST.

notice what we said about a parallelogram above, thus


\bf 8x+13=11x-23\implies 8x+36=11x\implies 36=3x \\\\\\ \cfrac{36}{3}=x\implies \boxed{12=x} \\\\[-0.35em] ~\dotfill\\\\ 2y+12=4y-4\implies 2y+16=4y\implies 16=2y \\\\\\ \cfrac{16}{2}=y\implies \boxed{8=y}


so then TQ ==> 2(8) + 12 ==> 16 + 12 ==> 28.

∡Q ==> 8(12) + 13 ==> 96 + 13 ==> 109°.

and since in a parallelogram, adjacent interior angles add up to 180°, then ∡Q + ∡T = 180°.

∡T ==> 180 - 109 ==> 71°.

3 0
3 years ago
A fishing tackle box is13 inches long, 6 inches wide, and 2.5 inches high. What is the volume of the tackle box?
V125BC [204]
13 times 6 times 2.5 equals 195 square inches
7 0
2 years ago
Read 2 more answers
What is the slope from point (0 0) to (6 -2)
mezya [45]
-1/3

Use the formula m = y2-y1/ x2 - x1.
Substitute the x and y values and you'll get -1/3
7 0
2 years ago
Read 2 more answers
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