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Effectus [21]
3 years ago
6

Brenna is going on a backpacking trip with her family. They need to hike to their favorite camping spot and set up the camp befo

re it gets dark. Sunset is at 9:26 P.M. It will take 3 hours and 3 minutes to hike to the camping spot and 1 hour and 26 minutes to set up the camp. What is the latest time Brenna and her family can start hiking?
Mathematics
1 answer:
Nostrana [21]3 years ago
6 0

Answer:

Latest time for start hiking = 4:57 PM

Step-by-step explanation:

Given:

Time of sunset = 9:26 P.M

Time taken for hiking = 3 hours and 3 minutes (03:03)

Time taken for set up = 1 hour and 26 minutes (1:26)

Find:

Latest time for start hiking

Computation:

Latest time for start hiking = Time of sunset - Time taken for set up - Time taken for hiking

Latest time for start hiking = 9:26 - 1:26 - Time taken for hiking

Latest time for start hiking = 8:00 PM - 03:03

Latest time for start hiking = 7:60 - 03:03

Latest time for start hiking = 4:57 PM

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Zacarías and paz together have $756.80 if Zacarías has $489.50, how much does Paz have? Write and solve an addition equation to
boyakko [2]

ANSWER: Paz have $267.30

STEP BY STEP EXPLANATION

Let be Z for Zacarías and P for Pax

Z+P= 756.80

Z= 489.50

P=756.8 - Z

P=756.80 - 489.50

P= 267.30

8 0
4 years ago
The tempature is -3 degress.The temperature is expected to decrease 2.5 degress each hour until the temperature reaches -18 degr
Andrews [41]

We can set this problem up as an algebraic equation, which we can then solve to find our answer.


We start at -3. So we can start our equation with that:

-3


However, this doesn't represent any change in temperature, just that we start at -3. To show change, we will use the variable x, where x stands for the number of hours. Each hour accounts for a change of -2.5 in degrees, meaning that we must multiply our x by -2.5. We can now add this term into our equation:

-3 - 2.5x


We are trying to find when we will reach -18 degrees, so we will set our entire equation equal to -18 and solve:

-3 - 2.5x = -18

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x = 6


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6 0
3 years ago
HELP I NEED THIS NOW!!!!
borishaifa [10]

Answer:

<u>So, The area of trapezoid = 4.413 R²</u>

Step-by-step explanation:

Given, MNPK is a trapezoid

MN = PK and m∠NMK = 65° , OT = R

So, m∠MNP = 180° - 65° = 115° ⇒ supplementary interior angles.

<u>Join </u>ON ⇒ ΔOSN is a right triangle at S.

And NP, NM are tangents to the circle

So, ON bisects the angle ∠MNP = ∠MNS

∠ONS = (∠MNS)/2 = 115/2 = 57.5°

So, tan (∠ONS) = OS/NS = R/(NS)

NS = R/tan (∠ONS)=R/(tan 57.5°) ≈ 0.637 R

<u>∴ NP = 2 * NS = 1.274 R</u>

<u>Construct: a line parallel to ST from N to line MK</u>

let the intersection point be Q  ⇒ NQ = 2R

So, Δ NQM is a right triangle at Q

tan (∠NMQ) = tan 65 = NQ/MQ

MQ = NQ/(tan 65)=2R/tan 65 ≈ 0.932 R

∴ MK = 2 MT = 2 (MQ + QT) ⇒ QT = NS

         = 2 (MQ + NS ) = 2( 0.932 R + 0.637 R) = 2 * 1.569 R

<u>∴ MK = 3.139 R</u>

<u></u>

Now, area of trapezoid = height × (sum of parallel sides/ 2)

Area = ST * (NP + MK)/2

        = 2R * (1.274 R + 3.139 R) / 2

        = 2R * 4.413 R /2

       = 4.413 R²

So, The area of trapezoid = 4.413 R²

5 0
3 years ago
4.Write an expression for the speed of the boat coming back from the island in terms of the
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Answer: <u><em>just a heads up</em></u>

my boats speed is 7 so

x=other boats speed times 2?

Step-by-step explanation:

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3 years ago
Diana has $10,000 in a savings account that earns interest annually at the rate of 5%.
kati45 [8]

partA: 0.05*10000=500$ amount of interest.

partB: 10000+500=10500$ the total amount after 1 year.

6 0
3 years ago
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