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Shtirlitz [24]
3 years ago
12

The three towns of Ripon, Sparta,

Mathematics
1 answer:
coldgirl [10]3 years ago
8 0

Answer:

Obtuse triangle and x=38

Step-by-step explanation:

38 + 104 + x = 180

142 + x = 180

x = 38

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1)Sheyna drive to the lake and back. It took two hours less time to get there than it did to get back. The average speed on the
ipn [44]

Answer:

8 hours

Step-by-step explanation:

Given:

Sheyna drives to the lake with average speed of 60 mph and

v_1 = 60\ mph

Sheyna drives back from the lake with average speed of 36 mph

v_2 = 36\ mph

It took 2 hours less time to get there than it did to get back.

Let t_1 be the time taken to drive to lake.

Let t_2 be the time taken to drive back from lake.

t_2-t_1 = 2 hrs ..... (1)

To find:

Total time taken = ?

t_1+t_2 = ?

Solution:

Let D be the distance to lake.

Formula for time is given as:

Time =\dfrac{Distance}{Speed }

t_1 = \dfrac{D}{60}\ hrs

t_2 = \dfrac{D}{36}\ hrs

Putting in equation (1):

\dfrac{D}{36}-\dfrac{D}{60} = 2\\\Rightarrow \dfrac{5D-3D}{180} = 2\\\Rightarrow \dfrac{2D}{180} = 2\\\Rightarrow D = 180\ miles

So,

t_1 = \dfrac{180}{60}\ hrs = 3 \ hrs

t_2 = \dfrac{180}{36}\ hrs = 5\ hrs

So, the answer is:

t_1+t_2 = \bold{8\ hrs}

8 0
3 years ago
A vat of orange juice contains the juice from 734 oranges if a company has 76 vats how many oranges would they use to fill them
Morgarella [4.7K]

Answer:

55,784 oranges

Step-by-step explanation:

To fill the vats, they would need the number of oranges needed to fill one vat multiplied by the amount of vats they have.

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So, the company will need a total of 55,784 oranges to fill all 76 vats.

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Step-by-step explanation:

height of parallelogram = area ÷ base

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eduard

Answer:

x <= 9

Step-by-step explanation:

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