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4 years ago

What can 19,683 be simplified to?

1 answer:

7 0

Depending on significant figures, it can be put into scientific notion. If significant figures is 2, the answer would be simplified to 19 x 10^3.

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Can someone please check my answer >.

Triss [41]

Answer:

i think it's correct

Step-by-step explanation:

I'm sorry if not but I believe it to be

4 0

3 years ago

the value of k so that the line Containing the points (-8,k) and (-4,-8) is perpendicular) to the line containing the points (10

In-s [12.5K]

Answer:

$k= \frac{-34}{3}$

Step-by-step explanation:

Step 1 :-

Perpendicular condition :-

Step 1:-

Two non-vertical lines are perpendicular to each other if and only if their slopes are negative reciprocals of each other.

$m_{2} = \frac{-1}{m_{1} }$

$m_{1} m_{2} = -1$

Step 2:-

The given points are (-8,k) and (-4,-8)

$m_{1} = \frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

finding slope of the first line is $m_{1}$

using formula $m_{1} = \frac{-8-k}{-4+8}$

= $\frac{-8-k}{4}$

finding slope of the second line is $m_{2}$

using formula $m_{2} = \frac{--5+11}{5-10}$

= $\frac{6}{-5}$

Step 3:-

using perpendicular condition

The two lines are perpendicular and their slopes are

$m_{1} m_{2} = -1$

$(\frac{-k-8}{4} )(\frac{-6}{5} )= -1$

simplification,we get solution is

$\frac{6(k+8)}{20} =-1$

$6 k+48 =-20$

$6 k = -20 -48$

$6 k = -68$

$\frac{-68}{6}$

$k= \frac{-34}{3}$

Final answer is

$k= \frac{-34}{3}$

8 0

3 years ago

Why is the information in the diagram enough to determine that △LMN ~ △PON using a rotation about point N and a dilation?

nekit [7.7K]

Answer:

Step-by-step explanation:

Ed2020

3 0

3 years ago

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

solmaris [256]

Answer:

1. 4, 4, 6, 8

2. 5, 11, 3, 1

3. 11, 27, 111

4. $16\sqrt{14}-31$

5. $20\sqrt{2}-56$

Step-by-step explanation:

For the tables remember that after you solve any negative number will turn positive

For 4-5 just plug in what is in the parenthesis into x and solve

5 0

4 years ago

Read 2 more answers

An equilateral triangle has an apothem measuring 2. 16 cm and a perimeter of 22. 45 cm. An equilateral triangle has an apothem w

iren [92.7K]

The area of the considered equilateral triangle is given by: Option D: $24.2 \: \rm cm^2$

<h3>What is apothem?</h3>

For a regular polygon (a polygon with all sides of same measure), the line segment drawn from the center of the polygon to the mid point of a side of the polygon is called apothem.

Referring to the attached figure below, for the considered case, we're given that:

The perimeter of the considered equilateral triangle is 22.45 cm
The length of the apothem = 2.16 cm

Since all sides of an equilateral triangle are same, let they be of 'x' cm length for this case, then:

$Perimeter = x + x + x = 22.45\\\\x = \dfrac{22.45}{3} \approx 7.48 \: \rm cm$

Since the equilateral triangle has all same sides, all three triangles AOC, AOB, and BOC are congruent and have same area.

The area of ABC = Area of AOC + Area of AOB + Area of BOC = 3 × Area of AOC

The area of AOC = half of base times height. The height is length of the apothem since because of symmetry in right and left of the apothem, it is standing with equal angle on both sides of AC, thus, half of straight line angle, therefore of 180/2 = 90 degrees, thus, perpendicular.

Area AOC = $\dfrac{1}{2} \times |AC| \times |OD| \approx \dfrac{1}{2}{ \times 7.48 \times 2.16 \approx 8.078\rm \: cm^2$

Thus, area of ABC = 3 × Area of AOC = $3 \times 8.078 \approx 24.2 \rm \: cm^2$

Thus, the area of the considered equilateral triangle is given by: Option D: $24.2 \: \rm cm^2$

Learn more about apothem here:

brainly.com/question/10580427

3 0

3 years ago