How many centimeters are there in 1.5 miles?

Find the values of x and y that satisfy the equation.<br><br> 4x+2i=8+yi<br> x= <br> and y=

stiks02 [169]

Answer:

The values of x and y that satisfy the equation are 2 and 2, respectively.

Step-by-step explanation:

Two complex numbers are identical if and only each pair of respective coefficients are identical on both sides. Then, we need to observe the following conditions:

Real component

$4\cdot x = 8$ (1)

Imaginary component

$2 = y$ (2)

The solution of this system of equations is $x = 2$ and $y = 2$ .

The values of x and y that satisfy the equation are 2 and 2, respectively.

5 0

2 years ago

1) The roots of the equation 9x2 + 3x – 4 = 0 are

Wittaler [7]

A !! hope this helps

7 0

2 years ago

Read 2 more answers

If a cone with a diameter of 10 meters has a surface area of 290.6 square meters, find its slant height.

Finger [1]

<h2>Hello!</h2>

The answer is:

The slant height is 13.43 m.

$l=13.43m$

To solve the problem, we need to use the following equations to calculate the total surface area and the lateral surface area of right cone:

$TotalSurfaceArea=LateralSurfaceArea+BaseArea$

$LateralSurfaceArea=\pi *r*l$

Where,

r, is the radius of the cone.

l, is the slant height of the cone.

We are given the following information:

$TotalSurfaceArea=290.6m^{2} \\Diameter=10m\\Radius=\frac{1}{2}d=\frac{1}{2}10m=5m$

So, calculating the area of the base(circle) in order to find the lateral surface area, we have:

$BaseArea=\pi *r^{2} \\\\BaseArea=\pi *5m^{2} =\pi *25m^{2}=79.54m^{2}$

Then, substituting the area of the base into the total surface area to calculate the surface area of the cone, we have:

$LateralSurfaceArea=TotalSurfaceArea-BaseArea$

$LateralSurfaceArea=290.6m^{2}-79.54m^{2}$

$LateralSurfaceArea=211.06m^{2}$

Now, calculating the slant height, we have:

$LateralSurfaceArea=\pi *r*l$

$l=\frac{LateralSurfaceArea}{\pi*r }$

Substituting, we have:

$l=\frac{211.06m^{2}}{\pi*5 }=\frac{211.06}{15.71m }$

$l=\frac{211.06}{15.71m }=13.43m$

Hence, we have that the slant height is 13.43 m.

$l=13.43m$

Have a nice day!

6 0

2 years ago

The number of people who attend a concert varies directly with the amount of money spent on advertising. If 790 tickets are sold

tangare [24]

Answer:

$4837.5

Step-by-step explanation:

Given that,

790 tickets are sold when $2,547.75 is spent on advertising.

We need to find the money to be spent on advertisements to get a sellout crowd of 1500.

It is also mentioned that the number of people who attend a concert varies directly with the amount of money spent on advertising. Let money be x. So,

$\dfrac{790}{2547.75}=\dfrac{1500}{x}\\\\x=\dfrac{2547.75\times 1500}{790}\\\\x=\$4837.5$

So, $4837.5 is spent on advertisements to get a sellout crowd of 1500

3 0

2 years ago

Keeping the properties of exponents in mind, to what power must you raise the expression 7 1/2 to get 7 as a result

zhenek [66]

For this case we have the following expression:
$7 ^ {(1/2)}
$
Rewriting the expression we have:
$(7 ^ {(1/2)}) ^ x
$
Where,
x: exponent to which we must raise the expression to obtain 7 as a result.
We have then:
$7 ^ {((1/2) x)}
$
The exponent must be equal to 1:
$(1/2) x = 1
$
Clearing x we have:
$x = 2
$
Substituting valres:
$7 ^ {((1/2) 2)}

7 ^ 1

7$
Answer:
you must raise the expression to 2

7 0

2 years ago