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bearhunter [10]
3 years ago
10

Solve for t. If the answer is a decimal, round to the nearest tenth.

Mathematics
2 answers:
nadya68 [22]3 years ago
5 0
I believe the answer is 25 but I could be very wrong.
Explanation:
a^2(t)+b^2=c^2
a^2(t)+12^2=13^2
a^2(t)+144=169
-144 -144
a^2(t)= 25
25^2= 625
The square root of 625 = 25
t=25
ryzh [129]3 years ago
4 0

Step-by-step explanation:

By Pythagoras' Theorem,

t² = 13² - 12²

=> t² = 169 - 144 = 25

=> t = 5 (as t is non-negative).

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wolverine [178]

Answer:

y = -12

Step-by-step explanation:

-4 (8+3y) = 112

-32 -12y = 112

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y = -12

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Option A<br>Option B<br>Option C<br>Option D​
Elenna [48]

Answer:

It's B

... because if you evaluate it it'll be 9x - 6xy, and 2xy + 2x^2

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Solve for x: <br>5x - 3y = 22<br> 10x - 4y = 46​
Alik [6]

Answer:

x=5, y=1

Step-by-step explanation:

Isolate x for 5x-3y=22

5x-3y=22

Add 3y to both sides

5x-3y+3y=22+3y

Simplify

5x=22+3y

Divide both sides by 5

5x/5=22/5+3y/5

Simplify

x=22+3y/5

Substitute  x=22+3y/5

10*22+3y/5-4y=46

Simplify 10*22+3y/5-4y

10*22+3y/5=2(3y+22)

=2(3y+22)-4y

Expand 2(3y+22)

=6y+44-4y

Simplify 6y+44-4y

=2y+44

Isolate y for 2y+44=46

2y+44=46

Subtract 44 from both sides:

2y+44-44=46-44

Simplify

2y=2

Divide both sides by 2;

2y/2=2/2

Simplify;

y=1

For x=22+3*1/5 substitute y=1

y=22+3*1/5

22+3*1=25

=25/5

Divide the numbers;25/5=5

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The solutions to the system of equations are;

x=5, y=1

8 0
3 years ago
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Arlecino [84]

Answer:

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The distance between Frankfurt and Prague is 432.5 km. Alex left Frankfurt at 10 AM and started traveling to Prague at 60 km/h.
viva [34]

Answer:

He was already 120 km away from Frankfurt so they will meet at 120 + 150 = 370 km away from Frankfurt

Step-by-step explanation:

We are given that the distance between Frankfurt and Prague is 432.5 km.

Distance bw Frankfurt and prague, s(F&P) = 432.5km

Alex left Frankfurt at 10 AM and tavelled at 60 km/hr. At noon i.e 12 PM Michael started traveling from Prague to Frankfurt, which means that Alex travelled 2 hour before Michael started, so lets calculate that distance first.

At 10 AM:

Time travelled by Alex, t = 2hr

Speed, v = 60km/hr

Distance, s(Alex) = v × t = 60 × 2 = 120 km

At noon 12 PM:

Now that Alex has covered 120 km from Frankfurt, he is now 432.5 - 120 = 312.5 km away from Michael at 12 PM.

Distance between Michael and Alex is now 312.5 km

Now Micahel will start moving towards Frankfurt at a speed of 65km/hr

And Alex is also coming towards Prague at a speed of 60km/hr

As they are moving toward eachother their speed will be taken as cumulative.

Speed, v = 65 + 60 = 125

Distance between the two, s = 312.5km

Time t = \frac{s}{v} = \frac{312.5}{125} = 2.5 hr


In these 2.5 hr Alex will cover a distance at 60km/hr = 2.5 * 60 = 150

He was already 120 km away from Frankfurt so they will meet at 120 + 150 = 370 km away from Frankfurt



5 0
3 years ago
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