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nevsk [136]
2 years ago
11

What is the value of m in the figure below? If necessary,round your answer to the nearest tenth of a unit

Mathematics
1 answer:
bogdanovich [222]2 years ago
3 0

Answer:

D

Step-by-step explanation:

It turns out from similar triangles, that 7/BD = BD / 18. Use triangles  ABD and BDC to show this relationship. Solving this equation will give you BD

BD^2 = 7*18

BD^2 = 126     Just leave it in this form. Do your rounding at the end.

Because triangle BDC is a right angle triangle, use the Pythagorean Theorem to solve for m

m^2 =  BD^2 + 7^2

m^2 = 126 + 49

m^2 = 175                         Take the square root of both sides.

sqrt(m^2) = sqrt(175)

m = 13.22

so the answer is D

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Step-by-step explanation:

Download docx
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find the balance in the account. $2,400 principal earning 2%, compounded annually, after 7 years $2,736.00 $2,756.85 $307,200.00
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The future worth (F) of the current investment (P) that has an interest (i) that is compounded annually is calculated through,
                                  F = P x (1 + i)^n
where n is the number of compounding period. Substituting the given values,
                             F = ($2,400) x ( 1+ 0.02)^7 = $2,756.85
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Look at the figure. Which step should be taken next to construct a line through point P perpendicular to BA?
alexira [117]

ANSWER:

C. Place the compass on point A. Open the compass to a point between point P and point B.

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A perpendicular is a line that would be at a right angle to line BA.

The next step is to chose a radius that is greater than PB or PA so as to construct the bisector. And this can be done by placing the compass on point A, and open the compass to a point between point P and point B.

Use this radius to draw an arc above and below the line, and repeat the same using B as the center with the same radius. This would form two intersecting arcs above and below line BA. Join the point of intersection of the arcs by a straight line through P. This is the bisector of line BA through point P.

8 0
2 years ago
A ride at an amusement park moves the riders in a circle at a rate of 6.0 m/s. The radius of the ride is 9.0 meters. Which of th
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Answer with explanation:

It is given that , ride at an amusement park moves the riders in a circle at a rate of 6.0 m/s.

a=\frac{dv}{dt}=6 m/s

Radius of Circle = 9.0 meters

Acceleration is rate of change of velocity,which will be perpendicular to radius vector.

Also, in terms of mathematics, line from center that is radius , to point of contact that is tangent line ,which is on the circle are perpendicular to each another.

→r(radius vector) ⊥  a(Acceleration vector).

So, In option A, Radius vector is Perpendicular to acceleration of riders.

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2 years ago
A cardboard carrying box has the dimensions shown below. How many square inches of
kherson [118]

Answer:

Step-by-step explanation:

Answer:

D, 344

Step-by-step explanation:

5x6 = 30x2 = 60

6x10 = 60

5x10 = 50x4 = 200

4x6=24 (dont need to divide by two since theres two triangles)

24+60+60+200= 344

8 0
2 years ago
Read 2 more answers
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