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Liono4ka [1.6K]
3 years ago
7

FIND sin0 WHERE 0 IS THE ANGLE SHOWN. GIVE AN EXACT VALUE, NOT A DECIMAL APPROXIMATION. Branliest​

Mathematics
1 answer:
expeople1 [14]3 years ago
6 0

Answer:

\frac{\sqrt{15} }{8}

Step-by-step explanation:

We require to find the third side of the triangle.

Using Pythagoras' identity

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

let x represent the third side, then

x² + 7² = 8², that is

x² + 49 = 64 ( subtract 49 from both sides )

x² = 15 ( take the square root of both sides )

x = \sqrt{15}

Thus

sinΘ = \frac{opposite}{hypotenuse} = \frac{\sqrt{15} }{8}

You might be interested in
A marching band is arranged in rows of 7 the first row has 3 band members and each row after the first has 2 more band members t
pav-90 [236]

Answer:

a_{n}= 1+2n and 63

Step-by-step explanation:

the question belongs to arithmetic sequence and a_{n} can be determined by the formula

a_{n}= a1 + d (n-1)

Let " a_{n} " represents the number of band members in the nth row

and 'd' represents the common difference.( as stated each row  has 2 more band members than the row before it)

therefore, d=2

'a1' represents first row that has three members. So, a1 = 3

->Rule for nth term will be:

a_{n}= 3 + 2(n-1)

a_{n}= 3 + 2n -2

a_{n}= 1+2n

-> In order to find total number of band members 'S_{7}'

Let S_{n} represent total number in n rows

We'll use the formula, i.e  S_{n} = n/1 (a_{1} +  a_{n})

where, n is the number of terms, a_{1} is the first term and a_{n} is the last term

So,

n=7

a_{7} = 1 + 2(7)= 15

=>S_{7} = 7/2 (3 + 15)

S_{7} = 63

The total number of band members are 63

8 0
3 years ago
Divide the following polynomial expression.<br><br> (n^4 +5n^3+9n^2) / 9n^3
Serhud [2]
Dhjdjdjdjdjdjndjdjdjdjdjdjjsjdjdjdjd
6 0
2 years ago
HELP FAST I'LL MARK YOU BRAINLIEST
Elden [556K]

Answer:

y = -2x + 12

Step-by-step explanation:

Step 1: find the slope

y = 1/2x + 5

The equation of the line is

y = mx + c

m - slope

m = 1/2

Note : if two lines are perpendicular to the other, both lines are negative reciprocal of each other

m = -2

Step 2 : using a point slope form

y - y1 = m( x - x1)

( 2 , 5)

x1 = 2

y1 = 5

y - 2 = -2( x - 5)

y - 2 = -2x + 10

y = -2x + 10 + 2

y = -2x + 12

The equation of the line is

y = -2x + 12

I dunno the answer so I just found another answer I found in here for this question:P

Sorry- it’s useless

5 0
2 years ago
Help I need to turn this in today :)
Elodia [21]

Answer:

132 cm squared

Step-by-step explanation:

6x5=30

6x5=30

6x8=48

1/2(8x3)=12

1/2(8x3)=12

Total added together is 132 cm squared

8 0
2 years ago
Help pls i need this done tonight i dont have much longer
zvonat [6]
Answer:
Jessica wants 180 plants in her garden.

Step-by-step explanation:
The formula for the area of the triangle is (1/2)*base*height.
So here, Let’s say 8 feet is the base and 15 feet is the height.
the area of the triangle would be (1/2)*8*15. That equals 60 square feet.
If Jessica wants 3 plants each square foot, then 60*3, which is 180 plants.

Note: * means the multiplication sign.
7 0
2 years ago
Read 2 more answers
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