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SIZIF [17.4K]
3 years ago
10

Atus

Mathematics
1 answer:
marishachu [46]3 years ago
5 0

Answer:

√7 / 4

Step-by-step explanation:

Trigonometrical identity are used to show the relationship between the sides and angles of a right angled triangle. Some trigonometric identities are:

sinΘ = opposite / hypotenuse, cosΘ = adjacent / hypotenuse, tanΘ = opposite / adjacent.

Given that cosΘ = 3 / 4

Therefore, cosΘ = adjacent / hypotenuse = 3 / 4

adjacent = 3, hypotenuse = 4. Let x be the opposite side, to get the opposite side, we use Pythagoras theorem:

opposite² + adjacent² = hypotenuse²

x² + 3² = 4²

x² + 9 = 16

x² = 7

x = √7

sinΘ = opposite/hypotenuse = √7 / 4

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Which shape is both rectangle and a square?
mina [271]

Step-by-step explanation:

the rhombus is both rectangle and square

8 0
3 years ago
Read 2 more answers
A rectangular patio has a length of 12 1/2 feet and an area of 108 1/8 square feet what is the width of the patio
Ivenika [448]

Length of the rectangular patio = 12\frac{1}{2}=\frac{25}{2}

Let the width of the patio be = x

Area of the patio is given as = 108\frac{1}{8}=\frac{865}{8}

As the area of a rectangle is = length*width, so

\frac{865}{8}=(\frac{25}{2})x

\frac{865}{8}*\frac{2}{25}=x

x= \frac{1730}{200} = \frac{173}{20}

x = 8\frac{13}{20}

Hence, width of the patio is 8\frac{13}{20} feet.

7 0
4 years ago
Which equation represents a lime which is parallel to the line 4y-x=-24
Elenna [48]

Answer:please mark as brainliest

Step-by-step explanation:this is an example and then the question you can answer

Two lines are parallel if the have the same slope. Example 1: Find the slope of the line parallel to the line 4x – 5y = 12. To find the slope of this line we need to get the line into slope-intercept form (y = mx + b), which means we need to solve for y: The slope of the line 4x – 5y = 12 is m = 4/5.

another example

In order to be parallel to your line, a line has to have the same slope as your line. So it has to have slope −4. Thus any line parallel to the line y=−4x+5 has an equation of the form y=−4x+b, where b is any number.

6 0
3 years ago
A Japanese beetle has length between 0.3 and 0.5 inches.Find two lengths that are within the given span. Write them as fraction
Wittaler [7]
<span>A Japanese beetle’s length are equals to
=> 0.3 inches
=> 0.5 inches

Now let’s find the length that is between the span of the two given length:
But before that let’s convert the 2 given numbers in decimal points to fraction:
=> 0.3 = 3/10
=> 0.5 = 5/10

Find the fraction between the given 2 numbers:
=> 0.3
=> 0.4
=> 0.5

Therefore the number we are looking 0.4
=> 0.4 = 4/10
Now, we have the complete length of Japanese beetles, the 0.3, 0.4 and 0.5</span>



5 0
4 years ago
Clara lends half her collection of formal attires to her sister, Susan. Clara then buys
Digiron [165]

Answer:

clara had 16 but she gave half that leaves us with 8 + 4 gives u 12

x

2

+ 4 = 12 ; 16 attires  

Answer:

16

Step-by-step explanation:

a:2+4 =12

a:2=12-4

a:2=8

a=8 ×2

a=16 dresses

Step-by-step explanation:

brainliest would be super appreciated

5 0
3 years ago
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