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4 years ago

Factor 8c + 10c?. ✅p

Mathematics

2 answers:

Rashid [163]4 years ago

7 0

Answer: 18 c

Step-by-step explanation: since they have the same variables you can easily just add them together

Elden [556K]4 years ago

6 0

8c + 10c = 18c *********

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A large railroad car is filled with 1745 gallons of milk. The car springs a leak in the bottom, and milk starts dripping out at

jeka57 [31]

Answer:

585.98 miles

Step-by-step explanation:

We need to convert 1745 gallons to mL.

We know 1 gallons = 3785.41 mL

So 1745 gallons = 1745 * 3785.41 = 6,605,540.45 mL

Leaks are at 204.84 mL/sec, so it will take:

6,605,540.45/204.84 = 32,247.32 seconds

In hours, that is:

32,247.32/(60*60) = 8.96 hours

Now, since train is travelling at 65.4 miles per hour, in 8.96 hours, train will approximately travel:

65.4 * 8.96 = 585.98 miles

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3 years ago

Triangle F G E is shown. Angle F E G is a right angle. The length of hypotenuse F G is 18.6 inches and the length of F E is 12 i

Gala2k [10]

Answer:

Measure of ∠FGE is 40.2°.

Step-by-step explanation:

Refer to the attachment.

Consider ΔFGE. Given that ∠FEG = 90° and ∠FGE is x°.

To find the value of ∠FGE use trigonometric ratios.

Use sine ratio to find the value of ∠FGE.

$\sin \theta=\dfrac{opposite\:side}{hypotenuse\:side}$

Rewriting it in terms of x° as follows,

$\sin x=\dfrac{opposite\:side}{hypotenuse\:side}$

Now find the opposite and hypotenuse side of the angle ∠FGE.

So opposite side of ∠FGE is FE and hypotenuse side of ∠FGE is FG.

Substituting the values,

$\sin x=\dfrac{FE}{FG}$

Given that length of FE is 12 inch and FG is 18.6 inch.

Substituting the value,

$\sin x=\dfrac{12}{18.6}$

To find the value of x, taking inverse sin.

$x=\arcsin \left(\dfrac{12}{18.6}\right)$

Calculating the value,

$x=40.17$

Rounding to nearest tenth the value of angle is 40.2

Therefore measure of ∠FGE is 40.2° .

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4 years ago

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