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2 years ago

On a coordinate plane, a triangle is shown. It has points (1, 4), (5, negative 2), and (negative 3, negative 2).

Mathematics

1 answer:

Sloan [31]2 years ago

6 0

Answer: C

Step-by-step explanation:

To determine if a triangle is equilateral, you need to see if all the sides have the same length.

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It takes a train 60 seconds to completely drive through a bridge of 1260 m, and 90 seconds to completely drive through a tunnel

Olegator [25]

The length of train is 120 meters

The speed of train is 25 meter per second

Solution:

The speed is given by formula:

$speed = \frac{distance}{time}$

Given that,

It takes a train 60 seconds to completely drive through a bridge of 1260 m

And 90 seconds to completely drive through a tunnel of 2010 m

Let the length of the train be "x"

The total distance travelled by the train across the bridge is given by:

total distance = x + 1260 + x = 2x + 1260

[ here we use x + x to represent that train completely drives through bridge ]

The time taken is given as 60 seconds

Therefore, the speed is given as:

$speed = \frac{2x+ 1260}{60}$

The total distance travelled by the train through the tunnel is given by:

total distance = x + 2010 + x = 2x + 2010

The time taken is given as 90 seconds

Therefore, the speed is given as:

$speed = \frac{2x+ 2010}{90}$

The speed of the train was the same in both cases.

Equate both speeds

$\frac{2x+ 1260}{60} = \frac{2x+ 2010}{90}$

$\frac{x+630}{30} = \frac{x+1005}{45}$

$45(x+630) = 30(x+1005)\\\\45x + 28350 = 30x + 30150\\\\45x - 30x = 30150 - 28350\\\\15x = 1800\\\\x = 120$

Thus length of train is 120 meters

Find the speed of train:

$speed = \frac{2x+ 1260}{60}\\\\speed = \frac{2(120) + 1260)}{60}\\\\speed = 25$

Thus speed of train is 25 meter per second

5 0

3 years ago

What’s is the surface area of this

Marysya12 [62]

2.8 multiplied by 2.8 to find the surface area of the base which is 7.84
4*1/2*2.8*5.5 to find the surface area of all four triangular faces which is 30.8
Plus them together 7.84 plus 30.8 which is 38.64

6 0

3 years ago

2x + 3y = 3 and x + 6y = -3

jekas [21]

Answer:

Step-by-step explanation:

Multiplying x+6y=-3 with 2 so its equal to first eqn,

Eliminating,

2x + 3y = 3 (1)

2x +12y = -6 (2) (because subtracting)

------------------

-9y =9

∴y=-1

eq. y in 1

2x -3=3

2x=3+3

x=6/2

Pls mark me brainliest

4 0

3 years ago

The cost of a piece of carpet is dependent on its area, in square feet, as shown in the graph.

Bess [88]

Answer:

A. false

B. c = 2.258241758a - 1.923076923

C. $290

Step-by-step explanation:

Part B was solved using a graphing calculator

3 0

3 years ago

Carl. put $1.10 in his piggy bank every day in the month of July. His total savings was $55 at the end of June. hat is the best

Crank

Carl would have around $90 at the end of July

8 0

3 years ago

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