All categories

3 years ago

Write the following rate in simplest forms.

1 answer:

7 0

Answer(s): 333/55, 1/4, 31/3, 7/64.

Explanation: 333/55 is already in simplest form
(4/16)/(4/4)=1/4

(279/27)/(9/9)=31/3

(49/448)/(7/7)=7/64

You might be interested in

Launch Problem 1

pantera1 [17]

I think the answer is 0.62

3 0

3 years ago

HELP ME PLEASE !!!!!!!!!

mojhsa [17]

Answer:

Please find the answer below:

Step-by-step explanation:

Ray : No

Vertex : No

Angle : No

Parallel Lines : No

Parallel Planes : No

Co planar Points: A N B C F

Segment Adding Postulates : AN and NB

Perpendicular Lines : No

6 0

3 years ago

What is the missing justification in the proof?

nataly862011 [7]

The missing justification in the proof is
B) Substitution property of equality

The expression for sin² x and cos² x is substituted to the other side of the equation. Since sin x = a/c, then sin² x = a²/c². Similarly, since cos x = b/c, then cos² x = b²/c². Adding to two results to the third statement.

7 0

4 years ago

Read 2 more answers

Determine the dimensions of a rectangular solid (with a square base) with maximum volume if its surface area is 181.5 square cen

3241004551 [841]

Answer:

The base and height of the solid is 5.5cm

Step-by-step explanation:

Given

$Surface\ Area = 181.5cm^2$

Required

Determine the dimensions that maximizes the volume

Let the base dimension be x and the height be h

The volume is calculated as:

$Volume =x^2 * h$

$Volume =x^2h$

181.5 =x^2h

The surface area (S) is calculated as this:

$S = 2(x^2 + xh + xh)$

$S = 2(x^2 + 2xh)$

$S = 2x^2 + 4xh$

Substitute 181.5 for S

$181.5 = 2x^2 + 4xh$

Make h the subject:

$4xh = 181.5 - 2x^2$

$h = \frac{181.5 - 2x^2}{4x}$

Substitute $h = \frac{181.5 - 2x^2}{4x}$ in $Volume =x^2h$

$V = x^2(\frac{181.5 - 2x^2}{4x})$

$V = x(\frac{181.5 - 2x^2}{4})$

$V = \frac{1}{4}(x)(181.5 - 2x^2)$

$V = \frac{181.5x}{4} - \frac{2x^3}{4}$

$V = \frac{181.5x}{4} - \frac{x^3}{2}$

To get the maximum, we differentiate V with respect to t and set the differentiation to 0

$dV = \frac{181.5}{4} - \frac{3x^2}{2}$

Set to 0

$0 = \frac{181.5}{4} - \frac{3x^2}{2}$

$\frac{3x^2}{2} = \frac{181.5}{4}$

Multiply through by 4

$4 * \frac{3x^2}{2} = \frac{181.5}{4} * 4$

$2*3x^2 = 181.5$

$6x^2 = 181.5$

$x^2 = \frac{181.5}{6}$

$x^2 = 30.25$

$x = \sqrt{30.25$

$x = 5.5$

Recall that:

$h = \frac{181.5 - 2x^2}{4x}$

$h = \frac{181.5 - 2 * 5.5^2}{4 * 5.5}$

$h = \frac{181.5 - 60.5}{22}$

$h = \frac{121}{22}$

$h = 5.5$

So, we have:

$h = 5.5$

$x = 5.5$

Hence, the base and height of the solid is 5.5cm

7 0

3 years ago

Given the point (-4, 2) and the y intercept (0, -5) write the equation of the line in slope-

laila [671]

The equation of the line in slope - intercept form is $y=\frac{-7}{4}x-5$

Explain what the slope-intercept form is?

Simply put, the slope-intercept form is the way to write a line's equation so that the y-intercept (where the line crosses the vertical y-axis) and slope (steepness) are instantly visible. This expression is sometimes referred to as y = mx + b form

Given: x = -4 , y = 2 and b = -5

y = mx + b

2 = m (-4) + (-5)

m = $\frac{-7}{4}$
By putting the value of m we get equation of line
$y=\frac{-7}{4}x-5$

Learn more:
What is the slope-intercept form of the linear equation 4x + 2y = 24????
brainly.com/question/1884491
#SPJ13

5 0

1 year ago