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nadya68 [22]
1 year ago
10

3.) AI 65 kom hr. Alfred can reach home in 50 minutes. At what speed should he drive his car

Mathematics
1 answer:
Yanka [14]1 year ago
8 0

Answer:

He should drive his car at a speed of 81.25 kilometers per hour.

Step-by-step explanation:

With a velocity of 65 kilometers per hour, he reaches home in 50 minutes. What speed he needs to reach home 10 minutes earlier, that is, in 50 - 10 = 40 minutes?

To solve this, we use the relation between inverse proportion variables(as the velocity increases, time needed decreases), that is, a rule of three with line multiplication, instead of cross. So

65 kilometers per hour - 50 minutes

x kilometers per hour - 40 minutes

So

40x = 65*50

x = \frac{65*50}{40}

x = 81.25

He should drive his car at a speed of 81.25 kilometers per hour.

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What is the probability of drawing two yellow marbles if the first one is NOT placed back into the bag before the second draw? T
Xelga [282]
Break it down into two parts. First, what is the probability of drawing a blue marble on the first draw?Since there are 5 blue marbles and 10 total, the probability is 5⁄10, or 1/2. Now since we no longer have that blue marble, there are 4 blue marbles and 9 total. The chances of drawing a blue marble are 4/9. Therefore, the chance that both marbles drawn are blue is the chance that the first one is blue times the chance that the second one is blue. 1/2 * 4/9 = 4/18 = 2/9 Remember, math is always trying to trick you. It wants you to try and do the whole big problem at once, which can be difficult. Break it down into smaller problems, then use your answers to small parts to find the answer to the big question.

Ishrat
6 0
2 years ago
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What is the length of the hypotenuse of the triangle below?
liberstina [14]

Answer:

\boxed{B. Hypotenuse = 10}

Step-by-step explanation:

By applying <em>Pythagoras theorem</em> we can find hypotenuse of a right angle triangle.

Side of right angle triangle (a) = 5√2 cm

Side of right angle triangle (b) = 5√2 cm

Hypotenuse² = a² × b²

{Hypotenuse}^{2}  =  {(5 \sqrt{2} )}^{2}  \times  {(5 \sqrt{2} )}^{2}  \\  \\  {Hypotenuse}^{2}  = (25 \times 2) + (25 \times 2)\\  \\  {Hypotenuse}^{2}  = 50 + 50\\  \\ {Hypotenuse}^{2}  = 100\\  \\   {Hypotenuse}^{ \cancel{2}}  =  {10}^{ \cancel{2}}  \\  \\   Hypotenuse = 10

7 0
2 years ago
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Sharon and Jacob started at the same place. Jacob walked 3 m north and then 4 m west. Sharon walked 5 m south and 12 m east. How
Ilya [14]

Consider the coordinate plane:

1. The origin is the point where Sharon and Jacob started - (0,0).

2. North - positive y-direction, south - negetive y-direction.

3. East - positive x-direction, west - negative x-direction.

Then,

  • if Jacob walked 3 m north and then 4 m west, the point where he is now has coordinates (-4,3);
  • if Sharon walked 5 m south and 12 m east, the point where she is now has coordinates (12,-5).

The distance between two points with coordinates (x_1,y_1) and (x_2,y_2) can be calculated using formula

D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}.

Therefore, the distance between  Jacob and Sharon is

D=\sqrt{(12-(-4))^2+(-5-3)^2}=\sqrt{16^2+8^2}=\sqrt{256+64}=\sqrt{320}=8\sqrt{5}\approx 11.18\ m.

7 0
2 years ago
Mr. Johnson currently has a square garden. It is in his garden and into a range of 5 feet shorter than three times shorter than
Vlad [161]

Answer:

The Dimension of new garden is 25 \ feet\ \times 10\ feet.

Step-by-step explanation:

Given:

Perimeter of new garden = 70 feet.

Let the length of the new garden be 'l'.

Also Let the width of the new garden be 'w'.

We need to find the dimension of new garden.

Now Given:

Length is 5 feet shorter than three times it width.

framing the equation we get;

l =3w-5 \ \ \ \ equation\ 1

Now we know that;

Perimeter of rectangle is equal to twice the sum of length and width.

framing in equation form we get;

2(l+w)=70

Now Diving both side by 2 using Division property of equality we get;

\frac{2(l+w)}2=\frac{70}{2}\\\\l+w =35

Now Substituting equation 1 in above equation we get;

3w-5+w=35\\\\4w-5=35

Adding both side by 5 Using Addition Property of equality we get'

4w-5+5=35+5\\\\4w=40

Now Diving both side by 4 using Division property of equality we get;

\frac{4w}{4}=\frac{40}{4}\\\\w=10\ ft

Now Substituting the value of 'w' in equation 1 we get;

l =3w-5\\\\l =3\times10-5\\\\l = 30-5\\\\l= 25\ ft

Hence The Dimension of new garden is 25 \ feet\ \times 10\ feet.

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2 years ago
Given: circle O with tangent AB mBC= 2x -16; mCD = x+40; mDE = x; mEB = 60 <br><br>find the x
murzikaleks [220]

Answer:

69

Step-by-step explanation:

All the given arcs cover the entire circle circumference, so their measures add up to a full 360.

(2x - 16) + (x + 40) + x + 60 = 360

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4x = 276

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2 years ago
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