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2 years ago

(01.01)

Mathematics

2 answers:

Charra [1.4K]2 years ago

7 0

Answer:

5x 1/4

Step-by-step explanation:

Nesterboy [21]2 years ago

3 0

5x 1/4 I think but I’m mostly sure

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At 8:00 am, here's what we know about two airplanes: Airplane #1 has an elevation of 80870 ft and is decreasing at the rate of 4

wel

Let's begin by listing out the information given to us:

8 am

airplane #1: x = 80870 ft, v = -450 ft/ min

airplane #2: x = 5000 ft, v = 900ft/min

We must note that the airplanes are moving at a constant speed. The equation for the airplanes is given by:

$\begin{gathered} E=x_1+vt----1 \\ E=x_2+vt----2 \\ where\colon E=elevation,ft;x=InitialElevation,ft; \\ v=velocity,ft\text{/}min;t=time,min \\ x_1=80,870ft,v=-450ft\text{/}min \\ E=80870-450t----1 \\ x_2=5,000ft,v=900ft\text{/}min \\ E=5000+900t----2 \end{gathered}$

We equate equations 1 & 2 to get the time both airlanes will be at the same elevation. We have:

$\begin{gathered} 5000+900t=80870-450t \\ \text{Add 450t to both sides, we have:} \\ 900t+450t+5000=80870-450t+450t \\ 1350t+5000=80870 \\ \text{Subtract 5000 from both sides, we have:} \\ 1350t+5000-5000=80870-5000 \\ 1350t=75870 \\ \text{Divide both sides by 1350, we have:} \\ \frac{1350t}{1350}=\frac{75870}{1350} \\ t=56.2min \\ \\ \text{After }56.2\text{ minutes, both airplanes will be at the same elevation} \end{gathered}$

The elevation at that time (when the elevations of the two airplanes are the same) is given by substituting the value of time into equations 1 & 2. We have:

$\begin{gathered} E_1=80870-450t \\ E_1=80870-450(56.2) \\ E_1=80870-25290 \\ E_1=55580ft \\ \\ E_2=5000+900t \\ E_2=5000+900(56.2) \\ E_2=5000+50580 \\ E_2=55580ft \\ \\ \therefore E_1\equiv E_2=55580ft \end{gathered}$

6 0

6 months ago

Find the area and perimeter of that triangle

aleksandrvk [35]

Step-by-step explanation:

$A = \frac{1}{2}(b*h)$

$A=\frac{1}{2} (14*5)$

$A=\frac{1}{2} (70)$

A = 35

$P = s+s+s$

$P=12+14+6$

P = 32

6 0

2 years ago

Explain your process of converting a mixed number to an improper fraction.explain your process of converting a improper fraction

scoundrel [369]

To make a improper fraction (eg11/4) a mixed number (eg 2 3/4) you must see how many times the numerator (number on the top) fits into the denominator (number on the bottom). This will give you the Whole number (big number) whatever is left will be the new numerator on the fraction (keeping the denominator the same).

To make a mixed number a improper fraction multiply the whole number by the denominator. Then add this number to the numerator.

4 0

3 years ago

Whats the aream of this rhombus

Ghella [55]

Answer:

Step-by-step explanation:

Most likely it is 195

8 0

2 years ago

How do you solve -2x+y=4 with (1,2)

Sholpan [36]

Answer:

Step-by-step explanation:

-2x+y=4

-2(1)+2=4

-2+2=0, not 4.

Therefore, (1, 2) is not a solution to this equation.

4 0

2 years ago