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SSSSS [86.1K]
3 years ago
10

12. Triangle ABC is shown on the coordinate plane. If it is translated 4 units to the left and 3

Mathematics
1 answer:
Aloiza [94]3 years ago
8 0

Answer:

Sorry about that I didn't read the question correctly but the answer is B.

Step-by-step explanation:

All you are doing is moving the points 4 units to the left and 3 units up. Hope this helped! :)

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An arc with length 5 pi over 4 inches is formed by a 15 degree central angle what is the radius of the circle
Natalka [10]

Answer:

Radius of the circle is <em>15 inches.</em>

<em></em>

Step-by-step explanation:

Relation between length of arc, radius and the angle subtended by the arc on center is:

\theta = \dfrac{l}{r} ..... (1)

where \theta is the central angle in radians subtended by arc

l is the length of arc

r is the radius of arc

We are Given the following details:

l = \dfrac{5\pi}{4}\ inch

\theta = 15^\circ

We know that \pi \ radians = 180 ^\circ

Converting \theta to radians:

\theta =\dfrac{\pi}{180} \times 15 radians

Putting the values of \theta and l to find the value of r

\dfrac{\pi}{180} \times 15 = \dfrac{5\pi}{4r}\\\Rightarrow r = \dfrac{45}{3} \\\Rightarrow r = 15 \ inches

Hence, Radius of the circle is <em>15 inches.</em>

6 0
3 years ago
The base of a regular pyramid is a hexagon.
Lyrx [107]
If you think about it, a hexagon can be cut into 6 equilateral triangles. Because of this, all you need to do is find the area of one triangle and multiply it by 6. Since the side length of one triangle is 12, we know that is the base. Since the triangles that are created when cutting the equilateral triangle in half are both 30 60 90, the height must be 6(3)^1/3. We can then multiply 12 • 6 radical 3 •1/2 to get 36 radical 3. Multiply this by 6 and get 216 radical 3 units squared.
4 0
3 years ago
100 PTS!! PLEASE HELP! OVER DUE
Reika [66]

Answer:

-\frac{1}{2} \vec {c}

Step-by-step explanation:

Look at the component form of each vector.

Note that vector c is <4,4> and vector d is <-2,-2>

If one imagined the line that contained each vector, the line for both would have a slope of 1, because \frac{4}{4}=1=\frac{-2}{-2}

Since they have the same slope they are parallel, but since they are in opposite directions, we often call them "anti-parallel" (simply meaning parallel, but in opposite directions).

If two vectors are parallel, one vector can be multiplied by a scalar to result in the other vector.  This means that there is some number "k", such that k \vec{c} = \vec {d}, or equivalently, kc_x=d_x and kc_y=d_y.

If kc_x=d_x and kc_y=d_y, we just need to substitute known values and solve for k:

kc_x=d_x\\k(4)=(-2)\\k=\dfrac{-2}{4}\\k=-\frac{1}{2}

Double checking that k works for the y-coordinates as well:

kc_y=d_y

(-\frac{1}{2}) (4)    ?    (-2)

-2=-2 \text{ } \checkmark

So, -\frac{1}{2} \vec {c} = \vec {d}

6 0
2 years ago
If a box of granola bars cost 2.25 and contains 8 bars, what is the cost of each bar? Round to the nearest cent
valentina_108 [34]
Just divide 2.25 by 8 and thatll be 
0.28 
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3 years ago
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What is 2/9 in the simplest form
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\frac{2}{9} \ is \ already \ in \ simplest \ form \\
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