A one-celled, aquatic organism called a dinoflagellate is 1000 micrometers long. A microscope magnifies the dinoflagellate 100 times. What is the magnified length of the dinoflagellate in meters? (1 micrometer is 10^-6 meter) Write your answer as a power

Answer:

Step-by-step explanation:

The length of the diagonal BC is equal to 18.47in

Data;

   m∠ABD = 30°

   BC = ?

   AC = 16 in

Length BC

Since the length of AC = 16in and angle m∠ABD = 30°, let us consider that the edges form a right angle triangle.

We can use trigonometric ratio to find the length BC since it is the length of the diagonal.

Since we have the value of opposite and angle, we can find the hypothenuse using sine angle.

The length of the diagonal BC is equal to 18.47in

Hope it helps ~

Answer:

x=24

Step-by-step explanation:

i cant quite explain how i did it

The mean score of the class is: 84.5

The median score of the class is: 87

The modal score of the class is: 84.5

Mean = sum of all data points divided by the number of data points.

Median = the middle value of the ordered data.

Mode = the data point with the highest frequency or that appears the most.

Thus:

Arrange the data in ordered form:

60, 70, 75, 80, 80, 80, 80, 80, 80, 85, 87, 87, 87, 88, 90, 90, 90, 91, 92, 93, 95, 98

Mean = 1858/22

Mean = 84.5

Median = (87 + 87)/2 = 87

Mode = 80

Thus:

The mean score of the class is: 84.5

The median score of the class is: 87

The modal score of the class is: 84.5

Learn more about mean, median, and mode of a data on:

https://brainly.com/question/542771

The mean of the normal distribution, using the formula for the z-score, considering the given data, is of 86.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem:

Then:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-1.6 = \frac{78 - \mu}{5}[/tex]

[tex]78 - \mu = -1.6(5)[/tex]

[tex]\mu = 86[/tex]

More can be learned about the normal distribution at https://brainly.com/question/24663213

Answer:

A. The area of parallelogram 1 is 4 square units greater than the area of parallelogram 2.

Step-by-step explanation:
I just took the test

Answer:

1.26 grams

Step-by-step explanation:

18 g * 0.07 = 1.26 g

Answer:

$7,185 see below ↓

explanation:

With median, it is about the number that appears the most, and since the closest it gets is between $7,071 and $7,195, we have to pick the number that averages in-between which in this case is 7,185.

Below, this ↓ array proves the logic.

[tex]\left[\begin{array}{ccc}7195&7185&7071\end{array}\right][/tex]

Answer:

x = 17

Step-by-step explanation:

The sum of all angle measures in any triangle is 180 degrees.

Step 1: Simplify both sides of the equation.

Step 2: Subtract 95 from both sides.

Step 3: Divide both sides by 5.

Step 4: Check if solution is correct.

Thus, x = 17.

Answer:

Step-by-step explanation:

PS:Can you please mark me brainly? It would mean the world to me.

Answer:Let x = length of the plot (in meters).

Then the two lengths use up 2x meters of the fencing,

. . . leaving 100 - 2x meters for the two widths.

This means each width is (100 - 2x)/2 = 50 - x meters.

The area of a rectangle is: Length x Width

. . . so we have: . A .= .x(50 - x)

We have a <u>parabola</u>: . A .= .- x² + 50x</sup>

We know that this parabola opens down (don't we?)

. . . so its vertex must be the highest point.

We're expected to know that the vertex is at: . x = -b/2a

For this problem, a = -1, b = 50, so we have: . x = -50/(2(-1) = 25

We have maximum A when x = 25.

This leaves 50 - x = 25 for the width.

Therefore, for maximum area, make the plot a 25-by-25 square.

Step-by-step explanation:

Answer:

1250 units squared

Step-by-step explanation:

if you're allowed to use a calculator;

Answer:

$40

Step-by-step explanation:

30% = .30

$12/0.30 = 40

[RevyBreeze]

[tex][Hello,BrainlyUser][/tex]

Answer:

$40

Step-by-step explanation:

Original Price = P

30% = .30 or .3

30% of P = 12

.3P = 12

P =12/.3 = $40

~[CloudBreeze]~

Answer:

See below

Step-by-step explanation:

(a) 4x - 22 = 74

(b) [tex] \dfrac{74 + 22}{4} [/tex]

(c) 24

Answer:

Answer:

The black colour will absorb the light.

Answer:

do the cube root of 216

the answer is 6

because 6 * 6 * 6= 216

Answer:

[tex]\sf g = 13.18 \ units[/tex]

explanation:

the "g" refers to the opposite side of angle G

First solve for angle E:

E + 60° + 45° = 180°

E = 180° - 105°

E = 75°

Then using sine rule:

[tex]\sf \dfrac{a}{sin(A)} = \dfrac{b}{sin(B)}[/tex]

[tex]\rightarrow \sf \dfrac{18}{sin(75)} = \dfrac{g}{sin(45)}[/tex]

[tex]\rightarrow \sf \dfrac{18*sin(45)}{sin(75)} = g[/tex]

[tex]\rightarrow \sf g = 13.18 \ units[/tex]

Answer:

Step-by-step explanation:

cosB = a/c = 4/5

so c = 5a/4 = 5*90/4 = 112.5

b² = c² - a² = 112.5² - 90² = 4556.25

b = 67.5

Answer:

[tex]\frac{5}{4}[/tex]

Step-by-step explanation:

Ratio of $1.50 to $1.20

=[tex]\frac{1.50}{1.20}[/tex]=[tex]\frac{1.5}{1.2}[/tex]=[tex]\frac{15}{12}[/tex]=[tex]\frac{5}{4}[/tex]

Ratio will be [tex]\frac{5}{4}[/tex]

Parallel lines don't have any solutions since they never intersect

Answer:

When the lines are parallel, there are no solutions, and sometimes the two equations will graph as the same line, in which case we have an infinite number of solutions.

Answer:

2

Step-by-step explanation:

$52 7books $6 CB which means she brought 2 which is $12$8 TB and then 7-2 because he already brought 2 CB so that means that he brought 5TB which is 40 Then add 40 +12 = $52 for 7 books 

cookbooks be x

travel books be y

(1)×2

Subtract (3) from (1)

Now

Step-by-step explanation:

Volume of cube = 6 × 6 × 6 cm³

= 216 cm³

Answer:

x = 2

Step-by-step explanation:

What is needed to solve this equation is a common denominator. With a common denominator, you can get rid of subtracted fractions.

First, factor the denominator on the left side of the equation:

[tex]\frac{3}{(x + 3)(x - 2)} = \frac{2}{x+3} - \frac{1}{x-2}[/tex]

Then, create a common denominator on the right:

[tex]\frac{3}{(x + 3)(x - 2)} = \frac{2}{x+3}(\frac{x-2}{x-2}) - \frac{1}{x-2}(\frac{x+3}{x+3})[/tex]

[tex]\frac{3}{(x + 3)(x - 2)} = \frac{2(x - 2) - 1(x + 3)}{(x+3)(x-2)}[/tex]

Put everything on one side:

[tex]0 = \frac{2(x - 2) - 1(x + 3)}{(x+3)(x-2)} - \frac{3}{(x + 3)(x - 2)}[/tex]

[tex]0 = \frac{2(x - 2) - 1(x + 3) - 3}{(x+3)(x-2)}[/tex]

[tex]0 = \frac{2x - 4 - x - 3 - 3}{(x+3)(x-2)}[/tex]

[tex]0 = \frac{x - 10}{(x+3)(x-2)}[/tex]

set each term equal to zero:

x - 10 = 0

x = 10

x + 3 = 0

x = -3

x - 2 = 0

x = 2 is the answer, since it is the only answer which is listed in the multiple choice question.

[tex]\tt V=\dfrac{1}{3}\times base~area\times height\\\\V=\dfrac{1}{3}\times 8^2\times 12\\\\V=256~cm^3[/tex]

Answer:

...

Step-by-step explanation:

Answer:

There is no model therefore the equation does not represent the model below

Step-by-step explanation:

Hope this helps mark brainliest please ;)

the answers circle with circle with hat with circle

Given :

To Find :

⠀

Solution :

We know that,

[tex]\qquad{ \bold{ \pmb{2(Length + Breadth ) = Perimeter_{(rectangle)}}}}[/tex]

Let's assume the length of the rectangle as 3x inches. and the width is 2x inches.

⠀

Now, Substituting the given values in the formula :

[tex]\qquad \dashrightarrow{ \sf{2(3x + 2x )= 60}}[/tex]

[tex]\qquad \dashrightarrow{ \sf{2(6x)= 60}}[/tex]

[tex]\qquad \dashrightarrow{ \sf{12x= 60}}[/tex]

[tex]\qquad \dashrightarrow{ \sf{x= \dfrac{60}{12} }}[/tex]

[tex]\qquad \dashrightarrow{ \bf{x= 5}}[/tex]

Therefore,

[tex]\qquad { \pmb{ \bf{ Length _{(rectangle)} = 3x \: = 3(5) = 15 \: inches}}}\:[/tex]

[tex]\qquad { \pmb{ \bf{ Width _{(rectangle)} = 2x = 2(5) = 10 \: inches}}}\:[/tex]

Answer:

3

Step-by-step explanation: