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jeka94
3 years ago
12

On a number line, C is at -6 and D is at 14. What is the coordinate of E, which is 1/4 of the way from C to D?

Mathematics
1 answer:
7nadin3 [17]3 years ago
3 0
It is closer to C because 1/4 is closer to 6
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Ben drinks water everyday. He drinks 3 1/2 liters of water every 1/4 of an hour. Ben drinks water at a constant rate. How many l
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Ben drinks 3 1/2 liters of tea every 40 minutes.

This means that he would drink 1 3/4 of tea every 20 minutes (divide both sides by 2).

Now, let's multiply each side by 3.  

1.75 * 3 = 5.25 (aka 5 1/4)

20 * 3 = 60 minutes (an hour)

He drinks 5 1/4 liters of tea in one hour.

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Help math homework both questions
-Dominant- [34]

Answer:

Q-12 The vertical length of the top part of elevator to ground is 0.8484 meters .

Q -14 The glide runway path is 24,752.47 feet .

Step-by-step explanation:

Q - 12

Given as :

The diagonal length of the elevator = e = 1.2 meters

The vertical length of the top part of elevator to ground = x meters

The angle made by elevator with ground = Ф = 45°

<u>Now, According to figure</u>

Sin angle = \dfrac{\textrm perpendicular}{\textrm hypotenuse}

Or, Sin Ф = \dfrac{\textrm x}{\textrm e}

Or, Sin 45° =  \dfrac{\textrm x meters}{\textrm 1.2 meters}

Or, 0.707 × 1.2 meters = x

∴ x =  0.8484 meters

So, The vertical length of the top part of elevator to ground = x = 0.8484 meters

Hence,The vertical length of the top part of elevator to ground is 0.8484 meters .  Answer

Q-14

Given as:

The altitude of decent of plane = H = 10,000 feet

The angle of descend =  Ф = 22°

Let the glide runway path = y feet

<u>Now, According to question</u>

Tan angle = \dfrac{\textrm perpendicular}{\textrm base}

Or, Tan Ф = \dfrac{\textrm H}{\textrm y}

Or, Tan 22° =  \dfrac{\textrm  10,000 feet}{\textrm y feet}

Or, 0.4040 =  \dfrac{\textrm  10,000 feet}{\textrm y feet}

Or, y =  \dfrac{\textrm  10,000 feet}{\textrm 0.4040}

∴   y = 24,752.47

So,The glide runway path = y = 24,752.47 feet

Hence, The glide runway path is 24,752.47 feet . Answer

6 0
3 years ago
The ratio of 6:5 can be expressed as
Helen [10]

Answer:

the ratio of 6:5 can be expressed as 6/5

7 0
3 years ago
5. A new car is offered for lease for $291 per month for
Elodia [21]

Answer: B

$10,390.75

Step-by-step explanation:

Given that the lease = $291 per month

Lease pay = 291 × 24 = $6984

Time = 24 months

down payment = $458.

The lease allows for 12,000 miles per year and includes a $0.35 per mile charge for miles driven in excess of that amount. 

For the car to be driven a total of 32,425 miles. 

Excess = 32425 - 24000 = 8425 miles

Charges = 0.35 × 8425 = $2948.75

The cost for two years for this vehicle will be

2948.75 + 458 + 6984 = $10390.75

4 0
3 years ago
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