Fie trapezul ABCD dreptunghic in A, BC||AD,CD=12, m unghiului BCD=60°, BC=2AD.

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Veseljchak [2.6K]

Car A Car B

d=rt d = rt

d = ra * 2.4 d = rb 4

ra = rb+22

distances are the same so set the equations equal

ra * 2.4 =rb *4

substitue in for ra

(rb+22) 2.4 =rb *4

distribute

2.4 rb +52.8 = 4 rb

subtract 2.4 rb from each side

52.8 = 1.6 rb

33 = rb

Car b travels at 33 miles per hour

Car a = 33+22

Car a = 55 miles per hour

3 0

3 years ago

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the

Ksju [112]

Answer:

3.162 units

Step-by-step explanation:

First identify the points that undergo transformation

You have;

A = (0,0) and B =(1,3)

The transformation is T: (x,y)= (x+2, y+1), this means to get the image you add the x coordinate of the object to 2, and the y coordinate to 1.

Finding coordinates of the image points A' and B'

A'= (0+2,0+1) = (2,1)

B'=(1+2, 3+1)=(3,4)

Finding the distance A'B'

The formula for distance d is

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

where

x₁=2

x₂=3

y₁=1

y₂=4

d=distance between two points

Applying the formula

$d=\sqrt{(3-2)^2+(4-1)^2} \\\\\\d=\sqrt{1^2+3^2} \\\\\\d=\sqrt{1+9} \\\\\\d=\sqrt{10} \\\\\\d=3.162$

The distance A'B' is √10 =3.162 units

8 0

3 years ago

Read 2 more answers

4 coffees and 12 lattes. Costs $61

Gala2k [10]

Answer:

Cost of a coffee is $2.5 and cost of a latte is $4.25.

Step-by-step explanation:

Let cost of 1 coffee be 'c' and cost of 1 latte be 'l' dollars.

Given:

4 coffees and 12 lattes cost $61.

12 coffees and 7 lattes cost $59.75.

∵ 1 coffee cost = $c$

∴ 4 coffees cost = $4c$ and 12 coffee cost = $12c$

∵ 1 latte cost = $l$

∴ 12 lattes cost = $12l$ and 7 lattes cost = $7l$

Now, as per question:

$4c+12l=61-----1\\12c+7l=59.75----2$

Now, multiplying equation (1) by -3 and adding the result to equation (2). This gives,

$-3(4c+12l)=-3(61)\\\\-12c-36l=-183\\12c+7l=59.75\\+\\----------\\0-29l=-123.25\\\\l=\frac{-123.25}{-29}=\$4.25$

Now, plug in the value of 'l' in equation 1 to solve for 'c'. This gives,

$4c+12(4.25)=61\\\\4c+51=61\\\\4c=61-51\\\\4c=10\\\\c=\frac{10}{4}=\$2.5$

Therefore, cost of a coffee is $2.5 and cost of a latte is $4.25.

4 0

3 years ago

Three of these turtles weight 1,050 pounds. How much does one Pinta Island Tortoise weight?

aleksklad [387]

Answer:

350 pounds

Step-by-step explanation:

Assuming three of the turtles are Pinta Island Tortoise, then:

3 turtles -- 1050

1 turtle -- 1050/3 = 350

Thenks and mark me brainliest :))

8 0

3 years ago

Read 2 more answers

the total attendance at a concert in a theater hall was 1500, of this total 400 were children,850 were women , and the remaining

AleksandrR [38]

Answer:

Below!

Step-by step explanation:

We know that:

400 + 850 + m = 1500

Solution of Question A:

Percent of children: Total children/Total attendance

=> 400/1500
=> 4/15
=> 0.27 (Rounded to nearest hundredth)
=> 0.27 x 100
=> 27%

Hence, the percent of children is about 27%.

Solution of Question B:

Percent of women: Total women/Total attendance

=> 850/1500
=> 85/150
=> 17/30
=> 17/30 x 100
=> 17/3 x 10
=> 170/3
=> 56.67%

Hence, the percent of women is 56.67%.

Solution of Question C:

400 + 850 + m = 1500
=> 1250 + m = 1500
=> m = 1500 - 1250
=> m = 250

Percent of men: Total men/Total attendance

=> 250/1500
=> 1/6
=> 0.17 (Rounded to nearest hundredth)
=> 0.17 x 100
=> 17%

Hence, the percent of men is about 17%

Hoped this helped.

$BrainiacUser1357$

3 0

2 years ago