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2 years ago

How do you find the surface area if your radius is 5 and your length is 10

1 answer:

6 0

Surface Area of a Cone = (pi)*(radius)*(radius) + (pi)*(radius)*(length)

radius = 5
length = 10

SA = 25pi + 50pi = 75pi or about 235.619

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Find the quotient of these Complex Numbers. (5-i) / (3+2i)

JulsSmile [24]

Let the given complex number

z = x + ix = $\dfrac{5-i}{3+2i}$

We have to find the standard form of complex number.

Solution:

∴ x + iy = $\dfrac{5-i}{3+2i}$

Rationalising numerator part of complex number, we get

x + iy = $\dfrac{5-i}{3+2i}\times \dfrac{3-2i}{3-2i}$

⇒ x + iy = $\dfrac{(5-i)(3-2i)}{3^2-(2i)^2}$

Using the algebraic identity:

(a + b)(a - b) = $a^{2}$ - $b^{2}$

⇒ x + iy = $\dfrac{15-10i-3i+2i^2}{9-4i^2}$

⇒ x + iy = $\dfrac{15-13i+2(-1)}{9-4(-1)}$ [ ∵ $i^{2} =-1$ ]

⇒ x + iy = $\dfrac{15-2-13i}{9+4}$

⇒ x + iy = $\dfrac{13-13i}{13}$

⇒ x + iy = $\dfrac{13(1-i)}{13}$

⇒ x + iy = 1 - i

Thus, the given complex number in standard form as "1 - i".

5 0

2 years ago

What is 9-x/5=3? I kept getting 6 but the only option is -6 :/

borishaifa [10]

Step-by-step explanation:

$9 - \frac{x}{5} = 3 \\ 9 - 5 \times \frac{x}{5} = 3 \times 5 \\ 9 - x = 15 \\ - 9 - x = - 9 + 15 \\ - x = 6 \\ - x \div - 1 = 6 \div - 1 \\ x = - 6$

3 0

2 years ago

Read 2 more answers

Classify the variable z in z square = 0.02 as rational or irrational

DochEvi [55]

Answer:

Irrational

Step-by-step explanation:

When we take the square root of both sides, we get z = 0.141421... and since there are no fractions and the decimals go endlessly on, it is irrational.

3 0

3 years ago

*Write An inequality then solve for the width.* The length of a rectangle is 12 more than its width. what values of the width wi

Sonbull [250]

Let $x$ be the width of the rectangle, so the length will be $12+x$ .
Now, to find the perimeter of our rectangle, we are going to use the formula for the perimeter of a rectangle formula: $P=2(w+l)$
where
$P$ is the perimeter
$w$ is the width
$l$ is the length

We know that $w=x$ and $l=12+x$ , so lets replace those values in our formula:
$P=2(x+12+x)$
$P=2(2x+12)$
$P=4x+24$

We want values of the width that will make the perimeter less than 96 feet, so lets set up our inequality:
 $4x+24\ \textless \ 96$
$4x\ \textless \ 72$
$x\ \textless \ \frac{72}{4}$
$x\ \textless \ 18$

Since the width can't be zero, we can conclude that the values of the width that will make the perimeter less than 96 feet are: $0\ \textless \ x\ \textless \ 18$ or in interval notation: (0,18)