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3 years ago

What is the distance from the origin to point P graphed on the complex plane below

Mathematics

1 answer:

anastassius [24]3 years ago

8 0

Answer:

b) √29

Step-by-step explanation:

Given: The origin is (0, 0), the point P is (2, -5).

We need to use the distance formula.

Distance formula =

Here x2 = 2, x 1 = 0, y1 =0, y2 = -5

Distance =

= √(4 + 25)

= √29

The answer is b) √29

Hope you will understand the concepts

Thank you!!

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Use the Law of Sines to find the missing angle of the triangle. Find m<b to the nearest tenth.

defon

1. By the Law of Sines, you have:

SinA/a=SinB/b=SinC/c

2. You don't need the fraction SinC/c, so you can eliminate it. Then:

SinA/a=SinB/b

A=40°
a=19
B=m∠b
b=13

3. When you substitute this values into SinA/a=SinB/b, you obtain:

SinA/a=SinB/b
Sin(40°)/19=SinB/13
SinB=13xSin(40°)/19
m∠b=SinB^-1(13xSin(40°)/19)
m∠b=26.1°

Therefore, the answer is: 26.1 degrees.

6 0

3 years ago

HELP

vaieri [72.5K]

<span>30% of $2,341.90 is $702.57.
(0.3 * 2341.9)
Hope this helps!</span>

6 0

3 years ago

X2 - 12x -6=0<br> Complete the square

ValentinkaMS [17]

Answer:

(x - 6)^2 = 42

Step-by-step explanation:

Using " ^ " to indicate exponentiation, we have:

x^2 - 12x -6=0

Here the coefficients of this quadratic equation are a = 1, b = -12 and c = -6.

Start by taking HALF of the coefficient of x, that is, HALF of -12. We get -6.

Next, square this result: (-6)^2 = 36.

Finally, add this 36 to both sides, obtaining:

x^2 - 12x + 36 - 6 = 36

Rewriting the first three terms, we get:

(x - 6)^2 - 6 = 36, or

(x - 6)^2 = 42 This is the end result to "completing the square."

If you want to go further and actually solve for x, then see below:

Taking the square root of both sides, we get

x - 6 = ±√42

Then x = 6 ± √42, or

x = 6 + √42 and

x = 6 - √42

8 0

3 years ago

Suppose a lake has a surface area of about 748 acres and an average depth of about 18 feet. About how many cubic feet are in the

zloy xaker [14]

Answer: There are 13464 cubic feet in the lake.

Step-by-step explanation:

Since we have given that

Surface area of lake = 748 acres

Average depth of lake = 18 feet

So, Volume of lake would be

Surface area of lake × Average depth

$=748\times 18\\\\=13464$

Hence, there are 13464 cubic feet in the lake.

6 0

3 years ago

Working together, two identical water pumps can fill a pull in 10 hours. Determine whether quantities (number of pumps and hours

vovikov84 [41]

Answer:

The number of pumps and hours) vary inversely.

The constant of variation is 20.

Step-by-step explanation:

Let x be number of pumps and y be number of hours.

We have been given that working together, two identical water pumps can fill a pull in 10 hours. This means while working alone the pumps will take 2 times as much time to fill the tank.

As we increase number of pumps (x), number of hours (y) is decreasing and as we decrease x our y is increasing, therefore, number of pumps (x) and hours (y) vary inversely.

Since we know that an inversely proportion equation is in form: $y=\frac{k}{x}$ , where, k is constant of variation.

Upon substituting our given values in above equation we will get,

$10=\frac{k}{2}$

Upon multiplying both sides of our equation by 2 we will get,

$2*10=2*\frac{k}{2}$

$20=k$

Therefore, the constant of variation is 20.

3 0

3 years ago