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3 years ago

Help ASAP!Will give brainlist

Mathematics

1 answer:

vichka [17]3 years ago

4 0

Answer: 35 degrees.

Step-by-step explanation: HF and GH are congruent to each other. That means angle F and angle G are the same as well (since those are the angles opposite the sides). If angle G is 35, angle f is also 35.

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A car driving at 20m/s accelerates at 3m/s2 for 3s. What is its final velocity? How far will it travel during this time?

-BARSIC- [3]

Answers:

Final velocity = 29 m/s

Distance traveled = 73.5 meters

========================================================

Work Shown:

The given data is

$v_i = 20 \text{ m}/\text{s} = \text{initial velocity}\\\\a = 3 \text{ m}/\text{s}^2 = \text{acceleration}\\\\t = 3 \text{ s} = \text{time duration}\\\\$

This leads to

$v_f = v_i + a*t\\\\v_f = 20 + 3*3\\\\v_f = 20 + 9\\\\v_f = 29\\\\$

The final velocity is 29 m/s.

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We can use that final velocity to find the distance traveled.

$x = 0.5*(v_i+v_f)*t\\\\x = 0.5*(20+29)*3\\\\x = 0.5*(49)*3\\\\x = 24.5*3\\\\x = 73.5\\\\$

The distance traveled is 73.5 meters.

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An alternative way to calculate the distance is to do this

$x = \frac{(v_f)^2 - (v_i)^2}{2a}\\\\x = \frac{(29)^2 - (20)^2}{2*3}\\\\x = \frac{841 - 400}{6}\\\\x = \frac{441}{6}\\\\x = 73.5\\\\$

Or you could do this

$x = v_i*t + 0.5*a*t^2\\\\x = 20*3 + 0.5*3*3^2\\\\x = 20*3 + 0.5*3*9\\\\x = 60 + 13.5\\\\x = 73.5\\\\$

For more information, check out the Kinematics equations.

7 0

2 years ago

the tickets for a benefit concert were $6 for friday night and $8 for Saturday night. the total attendence for the two nights wa

aksik [14]

Answer:

432 people on Friday and 658 on Saturday

Step-by-step explanation:

Lets use variables for each day

x=Friday and y=Saturday

now write two equations since you were given two different information (money and people)

$6 on Friday and $8 on Saturday with a total amount of $7856

the equation will be 6x+8y=7856

now the second equation will be for people

x amount of people on Friday and y amount of people on saturday for a total of 1090; the equation will be

x+y=1090

put them together

6x+8y=7856

x+y=1090

now you can cancel a variable but manipulating one of the equations. We'll use x, to cancel x you need make it zero so multiply the bottom by -6

6x+8y=7856

-6(x+y=1090)

6x+8y=7856 now subtract downwards, with the x cancelling

-6x-6y=-6540

2y=1316 simplify

(2y/2)=(1316/2)

y=658

insert y into x+y=1090

x+(658)=1090

-658 -658

x=432

7 0

4 years ago

Nevermind figured it out

MariettaO [177]

I still need that 10 points tho

7 0

3 years ago

Read 2 more answers

Please help ASAP!!!!!!!!!

Alchen [17]

Don’t click it please don’t

7 0

3 years ago

A cone has a volume of 314 cubic millimeters and a height of 12 millimeters. What is its

Tom [10]

Answer:

The answer is 14

Step-by-step explanation:

3 0

3 years ago