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Makovka662 [10]
3 years ago
5

A van moves with a constant speed of 36 miles per hour How long will it take to travel a distance of 177 miles?​

Mathematics
1 answer:
Temka [501]3 years ago
7 0

9514 1404 393

Answer:

  4 hours 55 minutes

Step-by-step explanation:

Time, speed, and distance are related by ...

  t = d/s

  t = (177 mi)/(36 mi/h) = 4 33/36 h = 4 11/12 h

The fractional part of this time is ...

  11/12 hour is (11/12)(60) = 55 minutes

The van will take 4 hours and 55 minutes to travel a distance of 177 miles.

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Greatfull in advance :)
nydimaria [60]

Answer:

160 m

Step-by-step explanation:

For the 15-deg angle, h is the opposite leg.

The hypotenuse is 628 m.

The trigonometry ratio that relates the opposite leg and the hypotenuse is the sine.

sin A = opp/hyp

\sin 15^\circ = \dfrac{h}{628~m}

h = 628~m \times \sin 15^\circ

h = 162.54~m

Rounded to 2 significant figures:

h = 160 m

5 0
3 years ago
A survey asked students what their favorite frult was. The results are shown in the graph.
anastassius [24]

Answer:

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3 years ago
Based on experimental data, the function T(x) = -3(x − 4)3 + 10 models the temperature of a special substance after being placed
zysi [14]
If I assume you meant

-3(x-4)^{2}+10

Then the answer is at 4 minutes. This is just the vertex form of the parabola which is

y=a(x-h)^{2}+k

where (h,k) is the vertex. h = 4 so the vertex is at 4 in the x-axis, or in the context of the problem it means at 4 minutes.
5 0
3 years ago
Triangle ABC is similar to triangle PQR , As shown below :
Rina8888 [55]

Answer:

Option C is correct

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In similar triangles corresponding sides are in same ratio.

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5 0
3 years ago
2 ln(x + 2) − ln(−x) = 0
enyata [817]

Answer:

x=-1

Step-by-step explanation:

Rewrite the equation using the next propierties:

log(\frac{1}{x} )=-log(x)

ylog(x)=log(x^{y} )

log(x*y)=log(x)+log(y)

ln((x+2)^2)+ln(\frac{-1}{x} )=0\\ln(\frac{(x+2)^2}{-x})=0

Cancel logarithms by taking exp of both sides:

\frac{(x+2)^2}{-x} =e^{0} =1

Multiplying both sides by -x and factoring:

x^{2} +5x+4=0

Factoring:

(x+1)(x+4)=0

The solutions are:

x=-1\hspace{3}or\hspace{3}x=-3

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2ln(-2)-(4)=0

This is an absurd because ln(x) is undefined for x\leq 0

Evaluating x=-1

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Which is correct, hence the solution is:

x=-1

6 0
4 years ago
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