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3 years ago

Allyson walked 10.8 km to the school. If 1 mile = 1.6 km, about how many miles did she walk?

Mathematics

2 answers:

ira [324]3 years ago

5 0

Answer:

6.75 miles

Step-by-step explanation:

1.6 km = 1 mile

1 km = 1/1.6 mile

10.8 km = $\frac{1}{1.6}*10.8$

= 6.75 miles

seropon [69]3 years ago

4 0

Answer:

According to my calculations, 1.6 goes into 10.8 a total of 6 times with a remainder of 1.1999999999999993. If you continue the long division beyond the decimal point, the result would be 6.75.

Step-by-step explanation:

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Write the vector v in the form aiplusbj, given its magnitude left norm Bold v right norm and the angle alpha it makes with the

photoshop1234 [79]

Answer:

$6\sqrt{3}i-6j$

Step-by-step explanation:

Given:

The magnitude, v=12

The angle $\alpha$ it makes with the positive x-axis = $150^0$

Now for a vector (x,y)

$\alpha =tan^{-1}(\frac{y}{x} )$ ; and

$v=\sqrt{x^2+y^2}$

Therefore:

$150 =tan^{-1}(\frac{y}{x} )\\\frac{y}{x} =tan 150\\\frac{y}{x}=-\frac{\sqrt{3} }{3}$

$y=-\frac{x \sqrt{3}}{3}$

Similarly:

$v=\sqrt{x^2+y^2}\\12=\sqrt{x^2+y^2}\\12^2=x^2+y^2\\144=x^2+y^2$

$144=x^2+(-\frac{x \sqrt{3}}{3} )^2\\144=x^2+\frac{3x^2}{9} \\144=\frac{4x^2}{3}\\4x^2=144 X 3=432\\x^2=108\\x=6\sqrt{3}$

Recall that:

$y=-\frac{x \sqrt{3}}{3}\\y=-\frac{6\sqrt{3} \sqrt{3}}{3}=-6$

Therefore: $(x,y)=(6\sqrt{3}, -6)$

The vector in the form ai+bj is therefore:

$6\sqrt{3}i-6j$

6 0

3 years ago

Which is equivalent to log Subscript 2 Baseline n = 4?

Marrrta [24]

Answer:

n = 16

Step-by-step explanation:

Given the expression;

$log_2 n = 4$

If $log_a b = c, then;\\a^c = b$

Applying this to the question;

2⁴⁴= n

16 = n

Swap'

n = 16

Hence the value of n is 16

7 0

2 years ago

Read 2 more answers

The bus will leave norfolk, VA at 6:00

aniked [119]

Time = distance / speed
t = 350/50
t = 7 hrs
arrival time at New York City is 1 pm. on Thursday

3 0

3 years ago

True or false the in-center of a triangle is the point equidistant from each side of the triangle

Viktor [21]

Answer:

True.

Step-by-step explanation:

Let's see the definition of in-center of a triangle.

The in-center of a triangle is a point located in the center of the triangle. It is equal distance from all sides of the triangle.

Therefore, it is True.

If we draw line segments from in-center to each vertex of the triangle, it will bisect the angles.

Herewith I have attached the figure for your reference.

3 0

2 years ago

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In order to qualify for a role in a play, an actor must be taller than 64 inches but shorter than 68 inches. The inequality 64 &

netineya [11]

Answer: x > 64 and x < 68 is another way of rewriting inequality.

Step-by-step explanation:

To qualify for a role in a play, an actor must be taller than 64 inches but shorter than 68 inches.

⇒The inequality 64 < x < 68, where x represents height,gives the range of height.

⇒In other words range of height can be x > 64 and x < 68 , such that both conditions are applied to single actor.

[with the use of or it will appear to give priority by actor to follow any 1 conditon]

8 0

1 year ago