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2 years ago

A parallelogram with an area of 211.41 m2 has a base that measures 24.3m. Find it’s height

Mathematics

2 answers:

guajiro [1.7K]2 years ago

5 0

Answer:

5137

Step-by-step explanation:

pishuonlain [190]2 years ago

4 0

The height of the parallelogram is 8.7 cm.

Step-by-step explanation:

<em>Given,</em>

Area of the parallelogram = 211.41 sq m

Base (b) = 24.3 m

To find the height of the parallelogram.

Formula

Area of a parallelogram with height h and base b is = b×h

According to the problem,

b×h = 211.41

or, h = 211.41÷24.3

or, h = 8.7

So,

The height of the parallelogram is 8.7 cm.

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Volgvan

5x+(-4)-5x=6x+4-5x
-4=x+4
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To get rid of 5x on the left side.

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2 years ago

Read 2 more answers

First question, thanks. I believe there should be 3 answers

zysi [14]

Given: The following functions

$A)cos^2\theta=sin^2\theta-1$ $B)sin\theta=\frac{1}{csc\theta}$ $\begin{gathered} C)sec\theta=\frac{1}{cot\theta} \\ D)cot\theta=\frac{cos\theta}{sin\theta} \\ E)1+cot^2\theta=csc^2\theta \end{gathered}$

To Determine: The trigonometry identities given in the functions

Solution

Verify each of the given function

$\begin{gathered} cos^2\theta=sin^2\theta-1 \\ Note\text{ that} \\ sin^2\theta+cos^2\theta=1 \\ cos^2\theta=1-sin^2\theta \\ Therefore \\ cos^2\theta sin^2\theta-1,NOT\text{ }IDENTITIES \end{gathered}$

$\begin{gathered} sin\theta=\frac{1}{csc\theta} \\ Note\text{ that} \\ csc\theta=\frac{1}{sin\theta} \\ sin\theta\times csc\theta=1 \\ sin\theta=\frac{1}{csc\theta} \\ Therefore \\ sin\theta=\frac{1}{csc\theta},is\text{ an identities} \end{gathered}$

$\begin{gathered} sec\theta=\frac{1}{cot\theta} \\ note\text{ that} \\ cot\theta=\frac{1}{tan\theta} \\ tan\theta cot\theta=1 \\ tan\theta=\frac{1}{cot\theta} \\ Therefore, \\ sec\theta\ne\frac{1}{cot\theta},NOT\text{ IDENTITY} \end{gathered}$

$\begin{gathered} cot\theta=\frac{cos\theta}{sin\theta} \\ Note\text{ that} \\ cot\theta=\frac{1}{tan\theta} \\ cot\theta=1\div tan\theta \\ tan\theta=\frac{sin\theta}{cos\theta} \\ So, \\ cot\theta=1\div\frac{sin\theta}{cos\theta} \\ cot\theta=1\times\frac{cos\theta}{sin\theta} \\ cot\theta=\frac{cos\theta}{sin\theta} \\ Therefore \\ cot\theta=\frac{cos\theta}{sin\theta},is\text{ an Identity} \end{gathered}$

$\begin{gathered} 1+cot^2\theta=csc^2\theta \\ csc^2\theta-cot^2\theta=1 \\ csc^2\theta=\frac{1}{sin^2\theta} \\ cot^2\theta=\frac{cos^2\theta}{sin^2\theta} \\ So, \\ \frac{1}{sin^2\theta}-\frac{cos^2\theta}{sin^2\theta} \\ \frac{1-cos^2\theta}{sin^2\theta} \\ Note, \\ cos^2\theta+sin^2\theta=1 \\ sin^2\theta=1-cos^2\theta \\ So, \\ \frac{1-cos^2\theta}{sin^2\theta}=\frac{sin^2\theta}{sin^2\theta}=1 \\ Therefore \\ 1+cot^2\theta=csc^2\theta,\text{ is an Identity} \end{gathered}$

Hence, the following are identities

$\begin{gathered} B)sin\theta=\frac{1}{csc\theta} \\ D)cot\theta=\frac{cos\theta}{sin\theta} \\ E)1+cot^2\theta=csc^2\theta \end{gathered}$

The marked are the trigonometric identities

3 0

11 months ago

Given the points (3, 2) and (6, 4), which of the following are true about the line passing through these points? The line has a

Ad libitum [116K]

Answer:

The slope is 2/3 and the function is y=2/3x which is a direct variation function.

Step-by-step explanation:

To find the slope of a line between two points, we use the equation

m = (y2-y1)/ (x2-x1)

where (x1,y1) and (x2,y2) are the two points

m= (4-2)/(6-3)

= 2/3

The slope of the line is 2/3

The equation of the line is

y-y1 = m(x-x1)

y-2 = 2/3(x-3)

Distribute

y-2 = 2/3x -2

Add 2 to each side

y-2+2 = 2/3x -2+2

y = 2/3x

This is a direct variation function

Let x = -6

y = 2/3(-6)

y = -4

(-6,-4)

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2 years ago

Identify the constant of proportionality

Sveta_85 [38]

Answer:

When two variables are directly or indirectly proportional to each other, then their relationship can be described as y = kx or y = k/x, where k determines how the two variables are related to one another.

Step-by-step explanation:

This k is known as the constant of proportionality.

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2 years ago

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tino4ka555 [31]

Answer:

-⅗

Step-by-step explanation:

(5-8)/(8-3) = -3/5

8 0

2 years ago