To the nearest tenth, the P( -2.1 < z

The difference of two numbers is 685. The smaller of the numbers is 262. What is the other number?

jeyben [28]

Step-by-step explanation:

Let the two numbers be x and y 

x - y = 685

Let the smaller number be y 

x - 262 = 685

x = 685 + 262

Therefore x = 947

3 0

3 years ago

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Area of the plane figure

Viefleur [7K]

Answer:

Area = 16.8 * 7 / 2 = 58.8 ft2

Step-by-step explanation:

Have

18.2^2 = 7^2 + a^2

-> a^2 = 18.2^2 - 7^2

-> a^2 = 282.24

-> a = 16.8

Area = 16.8 * 7 / 2 = 58.8 ft2

3 0

3 years ago

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

1.

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

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

2.

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

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

3.

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

10 months ago

Solve for the proportion. x+2/5=6/15

Lelechka [254]

For this case we must solve the following proportion:

$\frac {x + 2} {5} = \frac {6} {15}$

Multiplying by 5 on both sides of the equation we have:

$x + 2 = \frac {6 * 5} {15}\\x + 2 = \frac {30} {15}\\x + 2 = 2$

Subtracting 2 from both sides of the equation:

$x = 2-2\\x = 0$

ANswer:

$x = 0$

8 0

3 years ago

Read 2 more answers

Please help me find x. I really don't get it.

inysia [295]

Answer:

x = 11

Step-by-step explanation:

The relationship between the sine and cosine functions can be written as ...

sin(x) = cos(90 -x)

sin(A) = cos(90 -A) = cos(B) . . . . substituting the given values

Equating arguments of the cosine function, we have ...

90 -(3x+4) = 8x -35

86 -3x = 8x -35

86 +35 = 8x +3x . . . . . add 3x+35 to both sides

121 = 11x . . . . . . . . . . . . collect terms

121/11 = x = 11 . . . . . . . . divide by 11

_____

Comment on the solution

There are other applicable relationships between sine and cosine as well. The result is that there are many solutions to this equation. One set is ...

11 +(32 8/11)k . . . for any integer k

Another set is ...

61.8 +72k . . . . . for any integer k

3 0

3 years ago

To the nearest tenth, the P( -2.1 < z < 0) is: