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Oliga [24]
3 years ago
11

A car travels 250 km east, then turns 25° south of east and goes 115 km. What is the resultant distance traveled?

Mathematics
1 answer:
Firlakuza [10]3 years ago
4 0

Answer:

The distance traveled is 357.54km.

Step-by-step explanation:

The situation is illustrated in the figure attached.

From the law of cosines the distance d is given by

d^2 = (250km)^2+(115km)^2-2(250km)(115km)cos(155^o)

d^2 = 127837.698 km^2

\boxed{d = 357.54km}

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What is the x intercept and y intercept of this equation??
motikmotik

Answer:

x = None

y = 4

Step-by-step explanation:

There is nothing I can really do since it's not in y=mx+b form

8 0
3 years ago
Find the Equation of x(2x+5)-3(2x+5)=0
Nata [24]
2x² + 5x -6x - 15 = 0

2x² - x - 15 = 0

2x² -x = 15

x = 3

3 x 3 = 9 x 2 = 18 - 3 = 15

i really don't know how i got 3 in the first place but that is your answer

hope this helps


5 0
3 years ago
The ratio of oil to vinegar is 8:5 how much oil blended with 7 liters vinegar for recipe
Ugo [173]
Write and solve an equation of ratios:

oil       8          x
---- = ---- = -----------
vin      5      7 liters

Then 5x = 56, and x = 56/5 liters (of vinegar)
3 0
3 years ago
$1500 is invested at a rate of 3% compounded monthly. Write a compound interest function to model this situation. Then find the
Marianna [84]

Answer:

<u>Equation</u>:  F=1500(1.0025)^{12t}

<u>The balance after 5 years is:  $1742.43</u>

<u></u>

Step-by-step explanation:

This is a compound growth problem . THe formula is:

F=P(1+\frac{r}{n})^{nt}

Where

F is future amount

P is present amount

r is rate of interest, annually

n is the number of compounding per year

t is the time in years

Given:

P = 1500

r = 0.03

n = 12 (compounded monthly means 12 times a year)

The compound interest formula modelled by the variables is:

F=1500(1+\frac{0.03}{12})^{12t}\\F=1500(1.0025)^{12t}

Now, we want balance after 5 years, so t = 5, substituting, we get:

F=1500(1.0025)^{12t}\\F=1500(1.0025)^{12*5}\\F=1500(1.0025)^{60}\\F=1742.43

<u>The balance after 5 years is:  $1742.43</u>

3 0
3 years ago
Work out the area of this circle. Give you answer in terms of pi and state it’s units
tino4ka555 [31]

Answer:

49π

Step-by-step explanation:

area of circle = πr^2

<em>Handy Tip: cherry pies delicious; apple pies are(R) too(2)! so C = πd and A = πr^2</em>

diameter = 14 cm

radius = 14/2 = 7cm

area of circle = π(7)^2

area of circle = 49π

Hope that helps!

3 0
3 years ago
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