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Find the unknown length x in each right triangle ,to the nearest tenth

vladimir2022 [97]

That is a 3, 4, 5 right triangle.

Since 5 × 3 = 15 everything is multiplied by 3

3 × 3 = 9 ( the smaller leg )

4 × 3 = 12 ( the longer leg )

~~

Answer : 9

~~

I hope that helps you out!!

Any more questions, please feel free to ask me and I will gladly help you out!!

~Zoey

3 0

3 years ago

Over the last three evenings, Elsa received a total of 110 phone calls at the call center. The first evening, she received 10 fe

Bingel [31]

Answer:

first evening, 10 calls, second evening 80 calls, third evening, 20 calls.

Step-by-step explanation:

if the number of calls received during the first evening is X, then the number of calls received during the third evening is X+10 as the third evening received 10 more calls than first evening. The second evening received 4 times of third so 4X+10. Add them up together and put them equal to 110.

X+10+X+4X+40=110

6X+50=110

6X=110-50

6X=60

X=10

First evening, 10 calls,

second evening 80 calls; 4X+40, 4(10)+40=80

third evening 20 calls; X+10, (10)+10=20

8 0

3 years ago

Alice cycles to Carla's house at 12 mph and returns by car at 36 mph. If the round trip takes 1 hour, how far away from Carla do

Eduardwww [97]

Answer:

Alice lives <u>9 miles</u> far away from Carla.

Step-by-step explanation:

Given:

Alice cycles to Carla's house at 12 mph and returns by car at 36 mph.

If the round trip takes 1 hour.

Now, to find the distance from Carla to Alice house.

So, let the distance between the houses of Carla and Alice be $x$ .

Now, we solve by using the formula:

Distance/speed = time

Alice cycles to Carla house = $\frac{x}{12}$

And return by car = $\frac{x}{36}$

Time taken for round trip = 1 hour.

Adding both the distance to get the value of x:

$\frac{x}{12}+\frac{x}{36}=1$

$=\frac{3x+x}{36}=1$

$=\frac{4x}{36}=1$

<em>Dividing both sides by 4 we get:</em>

$x=9$

Therefore, Alice lives 9 miles far away from Carla.

5 0

3 years ago

Part 2: How much toilet paper do you really need to be prepared for long-term

allochka39001 [22]

Answer:

4 rolls

Step-by-step explanation:

We can use logic to find how many rolls of toilet paper you would need.

If you use 10 sheets of toilet paper every time you use the toilet, and this happens 3 times a day, then each person per day uses $10\cdot 3 = 30$ sheets of toilet paper per day.

For a 4 family household with 4 people, that would be $30 \cdot 4 =120$ sheets every day for the whole family.

For a week (7 days) the whole family would use $120 \cdot 7 = 840$ sheets per week.

If rolls of toilet paper are shipped by every 250 sheets, then we'd need $840 \div 250 = 3.36$ rolls.

We can't have 0.36 of a roll, so we round up to 4 so we have enough.

Hope this helped!

4 0

4 years ago

At 3:30 p.m., Berto’s train was 34 miles past the egg farm, traveling at an average speed of 85 miles per hour. At the same time

timurjin [86]

E=egg farm

x=distantce between the Berto´s trains and the meeting point.

t=time where the trains meet up

⇒110 miles/h ⇒85miles/h

[---------------------------E----------------------]-------------------------------------X

[............12 miles.......][........34 miles.....][------------ x ----------------------]

distance between Berto´s train and Eduardo´s train=

=12 miles+34 miles=46 miles.

S=d/t ⇒d=S*t

S=seed

d=distance

T=time

Eduardo´s train;

46 miles+x=t*110 miles/h ⇒x=t*110 miles/h-46 miles (1)

Berto´s train;

x=t*85 miles/h (2)

With the equations (1) and (2) we suggest this system equations:

x=t* 110 miles/h-46 miles

x=t*85 miles/h

we solve this system equiations :

t*110 miles/h-46 miles=t*85 miles/h

110t miles/h-85t miles/h=46 miles

25 t miles/h=46 miles

t=46 miles/25 miles/h=1,84 hour (≈1 hour, 50 minutes, 24 seconds)

x=t*85 miles/h=156,4 miles

Solution: 1,84 hour

3 0

3 years ago

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