Solve the following: What is the simplified form of the expression below? * (6 Points)

What is 88% of 44 HELP

Neko [114]

44 x .88 = 38.72

38.72 / 100 = .3872

6 0

4 years ago

Read 2 more answers

What greater than 476 and less than 598

hichkok12 [17]

597 I’m pretty sure

7 0

3 years ago

Read 2 more answers

Which is the equation of the parabola with focus (6, 2) and vertex (6, –4)?

SVETLANKA909090 [29]

Based on the calculations, the equation of this parabola is equal to (x - 6)² = 16(y + 4).

<h3>How to determine the equation of this parabola?</h3>

Mathematically, the standard equation with the vertex for a parabola is given by:

(y - k)² = 4a(x - h) for horizontal parabola.

(x - h)² = 4a(y - k) for vertical parabola.

where:

h and k are the vertex.

a is a point.

By critically observing the points, we can deduce that both the focus and vertex lie on the same vertical line x = 6.

Given the following data:

Focus with points = (6, 2).

Vertex (h, k) = (6, –4).

Note: a = 2 - (-4) = 2 + 4 = 6.

Substituting the given parameters into the formula, we have;

(x - 6)² = 4 × 4(y - (-4))

(x - 6)² = 16(y + 4).

Read more on parabola here: brainly.com/question/2346582

#SPJ1

8 0

2 years ago

A rectangle has the length of 22 inches less than 7 times the width. If the area of the rectangle is 3197 square inches, find th

Nikolay [14]

The length of rectangle is 139 inches

Solution:

Given that, area of the rectangle is 3197 square inches

Let "L" be the length of rectangle and "W" be the width of rectangle

Also given that rectangle has the length of 22 inches less than 7 times the width

Length = 7 times width - 22

L = 7W - 22

The area of rectangle is given as:

$\text {Area of rectangle }=\text { length } \times \text { width }$

Substituting the values we get,

$\begin{array}{l}{3197=(7 W-22)(W)} \\\\ {3197=7 W^{2}-22 W} \\\\ {7 W^{2}-22 W-3197=0}\end{array}$

On solving the above quadratic equation using quadratic formula,

$\text {For the quadratic equation } a x^{2}+b x+c=0 \text { where } a \neq 0$

$x=\frac{-b \pm \sqrt{\left(b^{2}-4 a c\right)}}{2 a}$

$\begin{array}{l}{\text {Here in } 7 \mathrm{W}^{2}-22 \mathrm{W}-3197=0} \\\\ {a=7 ; b=-22 ; c=-3197}\end{array}$

Substituting in above quadratic formula,

$\begin{array}{l}{W=\frac{-(-22) \pm \sqrt{\left((-22)^{2}-4(7)(-3197)\right)}}{2 \times 7}} \\\\ {W=\frac{22 \pm \sqrt{90000}}{14}=\frac{22 \pm 300}{14}} \\\\ {W=\frac{22+300}{14} \text { or } W=\frac{22-300}{14}} \\\\ {W=23 \text { or } W=-19.85}\end{array}$

Since width of rectangle cannot be negative, ignore negative value of "W"

So width W = 23 inches

Length L = 7W - 22 = 7(23) - 22 = 139 inches

Thus length of rectangle is 139 inches

8 0

4 years ago

In the 30-60-90 triangle below, side s has a length of and side q has a length of

zaharov [31]

Answer:

Step-by-step explanation:

The Pythagorean triple for a 30-60-90 triangle is, in terms of patterns,

(x, x√3, 2x) where x is the length of the side across from the 30 degree angle, x√3 is the length of the side across from the 60 degree angle, and the length of the hypotenuse is represented by 2x. We have the length of the hypotenuse given as 10. Therefore:

2x = 10 (the formula for the length of the hypotenuse is set equal to the value of the hypotenuse, allowing us to solve for x) so

x = 5. Look up above at the triple. The side length across from the 30 degree angle measures x; if x = 5, then side s = 5.

The formula for the side length across from the 60 degree angle is x√3, and again, if x = 5, side q = 5√3 which is choice C.

5 0

3 years ago