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2 years ago

Please help thank you

Mathematics

2 answers:

ZanzabumX [31]2 years ago

8 0

Answer for your question is 25.9

matrenka [14]2 years ago

7 0

Answer:

25.9 yd

Step-by-step explanation:

$a^{2}$ + ${b^{2} }$ = $c^{2}$

$(17)^{2}$ + ${b^{2} }$ = $(31)^{2}$

289 + ${b^{2} }$ = 961

Subtract 289 on both sides

${b^{2} }$ = 672

$\sqrt{b^{2} }$ = $\sqrt{672}$

nearest tenth

b = 25.9 yd

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Can someone help me with “Write The Following In Standard Form?” This is due in a few minutes please help!

Volgvan

Answer:

Step-by-step explanation:

5 0

3 years ago

Write a system of equations in x and y describing the situation. Do not solve the system. Keiko has a total of $ 5600 comma$5600

IgorLugansk [536]

Answer:

The correct answers are x + y = 5600 and x - y = 700.

Step-by-step explanation:

Write a system of equations in x and y describing the situation. Do not solve the system.

Keiko has a total of $ 5600, which she has invested in two accounts.

Let x be the amount of money in the larger account and y be the amount of money in the smaller account.

So, Keiko has invested her $5600 in two accounts x and y.

Thus x + y = 5600.

Also, given by the problem, the larger account (x) is $ 700 greater than the smaller account (y).

Thus x - y = 700.

Thus the two system of equation in x and y describing the given situation are

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8 0

3 years ago

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

Be sure to show your work and solve for g: g + 6 − 3 = 31

Iteru [2.4K]

28 + 6 = 34 and 34 - 3 = 31!!!!!!!

4 0

3 years ago

A train from Portland, Oregon, to Los Angeles, California, travels at an average speed of 60 miles per hour and covers a distanc

seropon [69]

Answer:

The train need to leave Portland at 03:27 am

Step-by-step explanation:

step 1

Find out how long it takes the train to travel from Portland, Oregon, to Los Angeles, California

Remember that

The speed is equal to divide the distance by the time

The time is equal to divide the distance by the speed

Let

s ---> the speed in miles per hour

d ---> the distance in miles

t ---> the time in hours

$t=\frac{d}{s}$

we have

$d=963\ mi$

$s=60\ mi/h$

substitute

$t=\frac{963}{60}=16.05\ hours$

step 2

Adds 30 minutes (time it takes to get from the train station to her aunt's house)

Remember that

$30\ minutes=0.50\ hours$

$16.05+0.50=16.55\ hours$

Convert to minutes

$16.55\ h=16.55(60)\ min=993\ min$

step 3

Remember that

$8 p.m=20:00\ hrs$

Convert to minutes

$20(60)=1,200\ min$

Subtract 993 minutes from 1,200 minutes

$1,200-993=207\ min$

Convert to hours+minutes

$207\ min=207/60=3.45\ hours$

$0.45\ h=0.45(60)=27\ min$

$3\ h+27\ min$

$00:00 + 03:27=03:27\ am$

therefore

The train need to leave Portland at 03:27 am

8 0

3 years ago