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Leona [35]
3 years ago
15

Harry drives 6 miles north while Selma drives 8 miles east. How far apart are Harry and Selma when they stop?

Mathematics
1 answer:
ehidna [41]3 years ago
3 0
If you just think of a line graph you could do this on the y axis go up 6 and on the x axis go left 8 and make a right triangle with the 2 points you made and the origin and then use your equation to solve for the missing side
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Convert 8.132132132 … to a rational expression in the form of a over b, where b ≠ 0.
Deffense [45]
8.13213213213232....=8+\sum_{i=1}^{\infty}\frac{132}{10^{3i}}=8+\frac{\frac{132}{10^3}}{1-\frac{1}{10^3}}=8+\frac{132}{999}=\frac{8124}{999}
7 0
3 years ago
The quadrilateral shown is a parallelogram. If m∠ADC = 125° and m∠1 = 30°, what is m∠2? A) 15° B) 25° C) 35° D) 55°
Ganezh [65]

Answer:

B) 25°

Step-by-step explanation:

Assuming the quadrilateral is the one shown in the picture attached, then a triangle ADC is form, where m∠ADC = 125° and m∠1 = 30°. The addition of the three angles of a triangle is equal to 180°, so:

m∠ADC + m∠1 + m∠2 = 180°

Replacing with the known values and isolating m∠2 we get:

125° + 30° + m∠2 = 180°

m∠2 = 180° - 125° - 30°

m∠2 = 25°

3 0
3 years ago
At 10 A.M. a plane leaves Boston, Massachusetts, for Seattle, Washington, a distance of 3000 mi. One hour later a plane leaves S
Reil [10]

Answer:

The plane from Seattle will pass the plane from Boston after 4.5 hours of its departure from the Seattle.

Step-by-step explanation:

Plane-1 = Boston, Massachusetts - Seattle, Washington at 10:00 AM

Plane-2= Seattle, Washington - Boston, Massachusetts at 11:00 AM

Speed of plane-1 = 300 mile/hour

Distance covered by plane-1 in 1 hour = 300 mile/h × 1 h = 300 mile

Distance between plane-1 and plane 2 after 1 hour :

= 3000 mile - 300 mile = 2700 mile

Let the distance covered by plane-1 after 1 hour be x in t time where it will pass plane-2.

Let the distance covered by plane-2 be y in t time where it will pass plane-1.

x + y = 2700 ...[1]

Speed of plane-1 = 300 mile/hour

300 mile/h=\frac{x}{t}..[2]

Speed of plane-2 = 300 mile/hour

300 mile/h=\frac{y}{t}..[3]

Putting value of t from [2] in [3];

t=\frac{x}{300 mile/h}

300 mile/h=\frac{y}{\frac{x}{300 mile/h}}

\frac{x}{300 mile/h}=\frac{y}{300 mile/h}

x = y

In [1] put x = y

y + y = 2700 miles

2y = 2700 miles

y = 1,350 mile

For the value of t, put the value of y in [3]:

t=\frac{1,350 mile}{300 mile/h}=4.5 hour

The plane from Seattle will pass the plane from Boston after 4.5 hours of its departure from the Seattle.

5 0
3 years ago
-20a -8 + 12b is ? what is the answer?
Ilia_Sergeevich [38]

Answer:

4(-5a + 3b - 2)

Step-by-step explanation:

Aside from changing the order of the terms so that the "a" term comes first and the "b" term second, there's nothing you can do with this expression -20a -8 + 12b.  But notice that 4 is a factor common to all three terms, and therefore it can be factored out:

Rearranging the terms, we get

-20a + 12b - 8  =  4(-5a + 3b - 2)

7 0
3 years ago
Evaluate |3 - 5 + 7|.<br><br> -5<br> 5<br> -15<br> 15
Temka [501]

Answer:

B. 5

Step-by-step explanation:

  • |3 - 5 + 7|=
  • |- 2 + 7 | =
  • | 5 | =
  • 5

<u>Answer is</u>: B. 5

6 0
3 years ago
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