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arlik [135]
3 years ago
14

for mother's day, jen took her mother hiking. they hiked three trails. the arrowhead nature trail is 1 1/5 of a mile, the coquin

a bay walk is 2/10 of a mile, and the robinson preserve is 4 1/2 of a mile. how far did they hike in all?
Mathematics
1 answer:
ElenaW [278]3 years ago
4 0

Answer:

Step-by-step explanation:

44

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3 lines are shown. A line with points P, R, N intersects a line with points M, R, O at point R. A line extends from point R to p
attashe74 [19]

Answer:

(C)Angle MRN and Angle NRO

Step-by-step explanation:

A diagram of the given problem is drawn and attached below.

From the diagram:

Option A: Angle PRL and Angle LRM = Angle PRM which is not 180 degrees.

Option B: Angle ORP and Angle MRN are vertically opposite angles and are therefore not linear pairs.

Option C: Angle MRN and Angle NRO are on the line ORM and therefore forms a linear pair.

<u>Therefore, the correct option is C.</u>

5 0
4 years ago
Read 2 more answers
Given that tangent theta = negative 1, what is the value of secant theta, for StartFraction 3 pi Over 2 EndFraction less-than th
vivado [14]

The value of tangent theta is equal to the negative 1.  At this value the value of secant theta is \sqrt{2}.

<h3>What is tangent theta?</h3>

The tangent theta in a triangle is the ratio of sine theta and cos theta. It can be written as,

\rm tan\theta=\dfrac{sin \theta}{cos \theta}

Given information-

The value of tangent theta is equal to the negative 1.

\tan \theta=-1

The tangent theta in a triangle is the ratio of sine theta and cos theta. It can be written as,

\rm tan\theta=\dfrac{sin \theta}{cos \theta}

The value of tangent theta is equal to the negative 1. Thus put the value in above expression as,

\rm -1=\dfrac{sin \theta}{cos \theta}\\

Simplify it further as,

\rm -cos \theta=sin \theta

When the value of cosine and sine theta is equal, then the angle exist in 4th quadrant with the value of \dfrac{7\pi}{4}. Which extent to the \sqrt{2}/2 for the cosine function.

In the trigonometry cosine theta is the reciprocal of the secant theta. Thus,

\rm \dfrac{1}{sec\theta}=\dfrac{\sqrt{2}}{2}\\sec\theta=\sqrt{2}

Thus the value of secant theta is \sqrt{2}

Learn more about the tangent theta here;

brainly.com/question/29190

4 0
3 years ago
Read 2 more answers
The altitude of a triangle is increasing at a rate of 1 cm/ min while the area of the triangle is increasing at a rate of 2 cm2
serg [7]
Ya, calculus and related rates, such fun!




everything is changing with respect to t

altitude rate will be dh/dt and that is 1cm/min
dh/dt=1cm/min

area will be da/dt which is increasing at 2cm²/min
da/dt=2cm²/min

base=db/dt

alright

area=1/2bh
take dervitivie of both sides
da/dt=1/2((db/dt)(h)+(dh/dt)(b))
solve for db/dt
distribute
da/dt=1/2(db/dt)(h)+1/2(dh/dt)(b)
move
da/dt-1/2(dh/dt)(b)=1/2(db/dt)(h)
times 2 both sides
2da/dt-(dh/dt)(b)=(db/dt)(h)
divide by h
(2da/dt-(dh/dt)(b))/h=db/dt

ok
we know
height=10
area=100
so
a=1/2bh
100=1/2b10
100=5b
20=b

so
h=10
b=20
da/dt=2cm²/min
dh/dt=1cm/min

therefor
(2(2cm²/min)-(1cm/min)(20cm))/10cm=db/dt
(4cm²/min-20cm²/min)/10cm=db/dt
(-16cm²/min)/10cm=db/dt
-1.6cm/min=db/dt

the base is decreasing at 1.6cm/min
4 0
3 years ago
1. Name a pair of adjacent angles. Explain why they are adjacent.
AlekseyPX
1. Adjacent means they are next to each other and share equal common side and vertex. So its angleRUS and angleSUT.
2. If you see that little square that equals to 90 degrees so it’s the same thing as the adjacent
3. and M should be the line between V and T
3 0
3 years ago
Which number line have a point that is equal to point p? Check all that apply
leva [86]

Answer:

a,c

Step-by-step explanation:

my brain is very large

6 0
3 years ago
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