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2 years ago

Using the triangle below find the measure of angle B round your answer to the nearest whole number

Mathematics

2 answers:

ikadub [295]2 years ago

5 0

What angle is angle b

vodka [1.7K]2 years ago

4 0

Answer:

angle v = 46 degrees

Step-by-step explanation:

tan-1 = $\frac{opposite}{adjacent}$

tan-1 V = $\frac{21}{20}$

$\frac{21}{20}$ = 1.05

tan-1 V = 1.05

V = 46.397

round to the nearest whole number:

46.397 = 46

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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

Darren wanted to see how contagious yawning can be. To better understand this, he conducted a social experiment in which he yawn

denis23 [38]

Answer:

10.5 minutes

Step-by-step explanation:

Thinking about the problem

The modeling function is of the form P(t)=A⋅Bf(t), where B=4B=4B, equals, 4 and f(t)=\dfrac{t}{10.5}f(t)=

10.5

f, left parenthesis, t, right parenthesis, equals, start fraction, t, divided by, 10, point, 5, end fraction.

Note that each time f(t)f(t)f, left parenthesis, t, right parenthesis increases by 111, the quantity is multiplied by B=4B=4B, equals, 4.

Therefore, we need to find the ttt-interval over which f(t)f(t)f, left parenthesis, t, right parenthesis increases by 111.

Hint #22 / 3

Finding the appropriate unit interval

fff is a linear function whose slope is \dfrac{1}{10.5}

10.5

start fraction, 1, divided by, 10, point, 5, end fraction.

This means that whenever ttt increases by \Delta tΔtdelta, t, f(t)f(t)f, left parenthesis, t, right parenthesis increases by \dfrac{\Delta t}{10.5}

10.5

Δt

start fraction, delta, t, divided by, 10, point, 5, end fraction.

Therefore, for f(t)f(t)f, left parenthesis, t, right parenthesis to increase by 111, we need \Delta t=10.5Δt=10.5delta, t, equals, 10, point, 5. In other words, the ttt-interval we are looking for is 10.510.510, point, 5 minutes.

Hint #33 / 3

Summary

The number of people who yawned quadruples every 10.510.510, point, 5 minutes.

7 0

3 years ago

Eliza is two years younger than half her bro Juan age write an equation to represent Eliza’s age ; if Juan is 6 how old is Eliza

cricket20 [7]

Answer:

Eliza is 1

Step-by-step explanation:

If Eliza is 2 years younger than 1/2 her brothers age and Juan is 6.

- divide 6 by 2 (6÷2=3)

- Take 3 away from 2 ( 3-2=1)

So that means Eliza would be 1

6 0

3 years ago

Sue owes $500 and then pays the full amount, which integer represents her payment? 500 –500 0 none of the above

Thepotemich [5.8K]

-500 me cause that is the action that is being take place, it decreased by 500

6 0

3 years ago

Read 2 more answers

A large tank holds 5x10 7 gallons of oil. How much oil can be stored in 23 tanks?

tatuchka [14]

Answer:

7 x23 = 161

Step-by-step explanation:

8 0

3 years ago

Using the triangle below find the measure of angle B round your answer to the nearest whole number ​

Using the triangle below find the measure of angle B round your answer to the nearest whole number