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2 years ago

What is the volume of the walls of the igloo?

Mathematics

1 answer:

Gnesinka [82]2 years ago

3 0

Volume= 2pie R^3
—————
3

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Find the center-radius form of the equation of the circle described.

Kitty [74]

Answer:

Correct answer: (x-√2)² + (y-√5)² = 3

Step-by-step explanation:

Given data: Center (x,y) = (√2,√5) and r = √3

The canonical or cartesian form of the equation of the circle is:

( x-p )² + ( y-q )² = r²

Where p is the x coordinate of the center, q is the y coordinate of the center and r is the radius of the circle.

God is with you!!!

8 0

3 years ago

Solve for t -18 = 6t

mihalych1998 [28]

-18 = 6t

Divide both sides by 6

-18/6 =6t/6

-3 = t

t= -3

5 0

10 months ago

If the sum of the zereos of the quadratic polynomial is 3x^2-(3k-2)x-(k-6) is equal to the product of the zereos, then find k?

lys-0071 [83]

Answer:

Step-by-step explanation:

So I'm going to use vieta's formula.

Let u and v the zeros of the given quadratic in ax^2+bx+c form.

By vieta's formula:

1) u+v=-b/a

2) uv=c/a

We are also given not by the formula but by this problem:

3) u+v=uv

If we plug 1) and 2) into 3) we get:

-b/a=c/a

Multiply both sides by a:

-b=c

Here we have:

a=3

b=-(3k-2)

c=-(k-6)

So we are solving

-b=c for k:

3k-2=-(k-6)

Distribute:

3k-2=-k+6

Add k on both sides:

4k-2=6

Add 2 on both side:

4k=8

Divide both sides by 4:

k=2

Let's check:

$3x^2-(3k-2)x-(k-6) \text{ with }k=2$ :

$3x^2-(3\cdot 2-2)x-(2-6)$

$3x^2-4x+4$

I'm going to solve $3x^2-4x+4=0$ for x using the quadratic formula:

$\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

$\frac{4\pm \sqrt{(-4)^2-4(3)(4)}}{2(3)}$

$\frac{4\pm \sqrt{16-16(3)}}{6}$

$\frac{4\pm \sqrt{16}\sqrt{1-(3)}}{6}$

$\frac{4\pm 4\sqrt{-2}}{6}$

$\frac{2\pm 2\sqrt{-2}}{3}$

$\frac{2\pm 2i\sqrt{2}}{3}$

Let's see if uv=u+v holds.

$uv=\frac{2+2i\sqrt{2}}{3} \cdot \frac{2-2i\sqrt{2}}{3}$

Keep in mind you are multiplying conjugates:

$uv=\frac{1}{9}(4-4i^2(2))$

$uv=\frac{1}{9}(4+4(2))$

$uv=\frac{12}{9}=\frac{4}{3}$

Let's see what u+v is now:

$u+v=\frac{2+2i\sqrt{2}}{3}+\frac{2-2i\sqrt{2}}{3}$

$u+v=\frac{2}{3}+\frac{2}{3}=\frac{4}{3}$

We have confirmed uv=u+v for k=2.

4 0

2 years ago

Solve the proportion using cross products. Round to the nearest hundredth if necessary. $18.45/m gal = $3.60/7.5gal

sveta [45]

$\dfrac{\$18.45}{n \text { gallon}} = \dfrac{\$3.60}{7.5 \text { gallon}}$

Cross multiply
$n \times \ 3.60 = 7.5 \times \ 18.45$

Combine like terms
$3.60n = 138.375$

Find n
$n = 138.375\div 360$

Answer
$n = 0.38 \text { (nearest hundredth)}$

3 0

2 years ago

Read 2 more answers

I have no congruent sides. One of my angles has a measure of 100 degrees.

aliina [53]

The answer is a scalene triangle

5 0

2 years ago