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3 years ago

Find the unknown angle A

Mathematics

2 answers:

lord [1]3 years ago

6 0

Answer:

easy i dont know points yah sorry

Step-by-step explanation:

uranmaximum [27]3 years ago

4 0

40! When you add all four angles of a quadrilateral together, you will always end up with 360. So, 360-75-120-125=40 :) have a great day!

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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

Singh works at a restaurant where he is paid by the hour plus time-and-a-half for his hours over 40. Last week he worked 3 hours

Stolb23 [73]

Answer:

The hourly wage is $8.55 per hour

Step-by-step explanation:

Step 1: Determine the expression for the gross pay

Total gross pay=(Unit rate per hour×number of hours(≤40))+(Overtime rate×number of overtime hours)

where;

Total gross pay=$380.48

Unit rate per hour=x

Number of hours=40 hours

Overtime rate=x×(1 1/2)=1.5 x

Number of overtime hours=3 hours

Step 2: Replace to solve for hourly wage

380.48=(x×40)+(1.5 x)×3

40 x+4.5 x=380.48

44.5 x=380.48

x=380.48/44.5

x=8.55

The hourly wage is $8.55 per hour

5 0

3 years ago

A ladder leans against the wall and reaches a

stich3 [128]

The base would represent the side adjacent to the angle and the height up the wall would be the opposite side. Using the tangent^-1 (opposite over adjacent) function we are looking for the tan^-1 of 6/24 or 14.04°

5 0

3 years ago

Find the slope and the y-intercept of the line slope intercept is: y=-5/2x+5

PtichkaEL [24]

Answer:

the slope is : -5/2

y-intercept is: 5

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

What is 2x+y=-4 step by step please and i will give you 44 points for this!!!

Anni [7]

Answer: 0=0

Step-by-step explanation:

First you want to solve for x

2x+y=−4

Step 1: Add -y to both sides.

2x + y + −y =−4+ −y

2x=−y−4

Step 2: Divide both sides by 2.

2x/2= -y-4/2

x=-1/2y-2

Then you want to plug in your answer for x into the equation so:

2(-1/2y-2)+y=-4

Step 1: Simplify both sides of the equation.

2(-1/2y-2)+y=-4

(2)( −1/ 2 y)+(2)(−2)+y(Distribute)

−y+−4+y=−4

(−y+y)+(−4)=−4(Combine Like Terms)

−4=−4

Step 2: Add 4 to both sides.

−4+4=−4+4

0=0.

Sorry if this wasn't the answer your looking for. If you need more help I suggest using Ma.th.Pa.pa calculator but with out the periods. Hope you have a good day :)

5 0

3 years ago

Find the unknown angle A​

Find the unknown angle A