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Black_prince [1.1K]
3 years ago
8

HELP TRIGONOMETRY !!!!

Mathematics
1 answer:
Lunna [17]3 years ago
4 0

We want x which is known as the hypotenuse in this triangle.

Because of the given side we know that...

sin(70°) × hypotenuse = 12

hypotenuse = 12/sin(70°) = 12.8 cm rounded to the nearest tenth

answer: 12.8 cm

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Consider a water pipe that branches into two smaller pipes. If the flow of water is 10 L/min in the main pipe and 4 L/min in one
masha68 [24]

The water flows 6 liters per minute in the other branch of pipe.

Step-by-step explanation:

Given,

Flow of water in main pipe = 10L/min

Flow of water in one branch = 4L/min

Flow of water in other branch = x

Flow of water in main pipe = Flow in one branch + Flow in other branch

10=4+x\\10-4=x\\6=x\\x=6

The water flows 6 liters per minute in the other branch of pipe.

4 0
3 years ago
HURRYYYYYYYYY!! What is the equation of the quadratic function with a vertex at (2, 25) and an x-intercept at (7,0)?
tangare [24]

Answer:

y=-(x-7)(x+3)

which is none of the choices provided.

Are you sure the question is right or even the choices?

You can even write it as:

y=-(x+3)(x-7) but this is still not a choice.

Step-by-step explanation:

The vertex form of a quadratic is y=a(x-h)^2+k.

This is called vertex form because it gives you the vertex is (h,k).

We are given that (h,k)=(2,25) which makes our equation:

y=a(x-2)^2+25.

We can find the value of a by plugging in the x-intercept (7,0) for (x,y) into:

y=a(x-2)^2+25

0=a(7-2)^2+25

0=a(5)^2+25

Subtract 25 on both sides:

-25=a(5)^2

-25=a(25)

Divide both sides by 25:

\frac{-25}{25}=a

-1=a.

So the equation for the quadratic is:

y=-1(x-2)^2+25

Let's put this into factored form since all the choices are in factored form.

This will require us to multiply the (x-2)(x-2) out:

y=-1(x-2)(x-2)+25

y=-1(x^2-2x-2x+4)+25

y=-1(x^2-4x+4)+25

y=-x^2+4x-4+25

y=-x^2+4x+21

Factor out -1:

y=-(x^2-4x-21)

WE need to find two numbers that multiply to be -21 and add to be -4:

y=-(x-7)(x+3)

8 0
3 years ago
Read 2 more answers
Find the sum of the following ap .1) 1/15, 1/12, 1/10,....,to 11 terms​
sertanlavr [38]

Answer:

33/20

Step-by-step explanation:

1/12 - 1/15 = 5/60 - 4/60 = 1/60

d = 1/60

a_n = a_1 + d(n - 1)

a_11 = 1/15 + (1/60)(11 - 1)

a_11 = 1/15 + 1/6

a_11 = 4/60 + 10/60

a_11 = 14/60

a_11 = 7/30

a_12 = 14/60 + 1/60

a_12 = 15/60

a_12 = 1/4

s_n = n(a_1 + a_n)/2

s_11 = 11(1/15 + 7/30)/2

s_11 = 11(2/30 + 7/30)/2

s_11 = 11(9/30)/2

s_11 = 99/60

s_11 = 33/20

8 0
3 years ago
-7, 0 , 5 , -3 , 15
kakasveta [241]

Answer:

Step-by-step explanation:

yes you're correct!

pls mark brainliest!!

4 0
2 years ago
Read 2 more answers
Solve the system of linear equations using elimination.
N76 [4]

Answer:

C (-2,1)

Step-by-step explanation:

−2x − y = 3 (1)

−9x − y = 17 (2)

(1) y = -2x - 3

(2) y = -9x - 17

-2x - 3 = -9x - 17

7x = -14

x = -2

y = -2(-2) - 3

y = 4 - 3

y = 1

8 0
3 years ago
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