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Elis [28]
2 years ago
6

The angle bisector of

Mathematics
1 answer:
klemol [59]2 years ago
6 0
A is correct. Hope my answer helped u :)
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Please Help & Thank You
makkiz [27]

Answer:

67 \frac{1}{2}  cm^3

Step-by-step explanation:

the volume of a rectangular prism is the three sides multiplied together, h*w*l

converting the mixed number to improper fraction to make multiplying easier.

\frac{9}{2} *6*\frac{5}{2} = \frac{135}{2}

converting back to mixed number in simplest form

\frac{135}{2}= 67 R 1

\frac{135}{2}= 67 \frac{1}{2}

4 0
3 years ago
Henry draws an obtuse triangle how many obtuse angles does Henry's triangle have? Please eye help
Travka [436]
The sum of all three angles in any triangle is always 180 degrees. So in obtuse triangle there is only one obtuse angle (more than 90 degrees). If we have for example an obtuse angle of 91 degrees, then two other angles have to fit in 89 degrees which makes it impossible for any of them to be obtuse.
8 0
3 years ago
A bowling alley usually rents out between 22 and 25 pairs of bowling shoes during each of the 9 hours they are open. Which of th
Dmitry [639]

Answer:

B

Step-by-step explanation:

22+25=47

47/2=23.5 Average shoes rented per hour

23.5*9=211.5 shoes rented per 9 hours

211.5*3=634.5 Shoes rented per 9 hours for 3 days

634 closest answer is B

4 0
3 years ago
P is the point on the line 2x+y-10=0 such that the length of OP, the line segment from the origin O to P, is a minimum. Find the
nirvana33 [79]
The minimum distance is the perpendicular distance. So establish the distance from the origin to the line using the distance formula.
The distance here is: <span><span>d2</span>=(x−0<span>)^2</span>+(y−0<span>)^2
</span>                                      =<span>x^2</span>+<span>y^2
</span></span>
To minimize this function d^2 subject to the constraint, <span>2x+y−10=0
</span>If we substitute, the y-values the distance function can take will be related to the x-values by the line:<span>y=10−2x 
</span>You can substitute this in for y in the distance function and take the derivative:
<span>d=sqrt [<span><span><span>x2</span>+(10−2x<span>)^2]
</span></span></span></span>
d′=1/2 (5x2−40x+100)^(−1/2)   (10x−40)<span>
</span>Setting the derivative to zero to find optimal x,
<span><span>d′</span>=0→10x−40=0→x=4
</span>
This will be the x-value on the line such that the distance between the origin and line will be EITHER a maximum or minimum (technically, it should be checked afterward).
For x = 4, the corresponding y-value is found from the equation of the line (since we need the corresponding y-value on the line for this x-value).
 
Then y = 10 - 2(4) = 2.
 So the point, P, is (4,2).
8 0
3 years ago
Terrance claims that for the input coordinates (x, y), a rotation of 180° clockwise about the origin, followed by a reflection o
vodka [1.7K]

Answer:

Terrance is incorect.

Correct output coordinates (-y,-x)

Step-by-step explanation:

Let (x,y) be the input coordinates.

First translation is a rotation of 180° clockwise about the origin. This translation has a rule

(x,y)\rightarrow (-x,-y)

Second translation is a reflection over the line y = x. The general rule for the reflection across the line y=x has the rule

(a,b)\rightarrow (b,a)

When a sequence of two translations are applied to the initial input coordinates, then

(x,y)\rightarrow (-x,-y)\rightarrow (-y,-x)

As you can see Terrance made a mistake and these two transformations do not cancel themselves out.

8 0
3 years ago
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