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Juliette [100K]
1 year ago
12

Find the value of Y.

Mathematics
2 answers:
Lana71 [14]1 year ago
8 0

Angle 60

Opposite - y

Hypotenuse - 10

OH - SOH

Sin60 = o/h

Sin60 = o/10

x10

O = sin60 x 10

O = 5 root 3

= 8.660254....

So, value of y = 8.66 to 2d.p

Hope this helps!

Deffense [45]1 year ago
7 0

Answer:

  5√3

Step-by-step explanation:

The ratio of side lengths in a 30-60-90 triangle is ...

  1 : √3 : 2

__

Multiplying by 5, we have ...

  1 : √3 : 2 = x : y : 10 = 5 : 5√3 : 10

The value of y is 5√3.

_____

<em>Additional comment</em>

y is the side adjacent to the 30° angle, so can be found from ...

  Cos = Adjacent/Hypotenuse

  Adjacent = Cos × Hypotenuse . . . . . multiply by hypotenuse

  y = cos(30°)×10 = (√3)/2 × 10 . . . . . . substitute corresponding values

  y = 5√3

__

The value of x is 5.

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Which is the answer for -1/3y + 4 = 3
N76 [4]

2/1

Step-by-step explanation:

_1/3y=_1

y=_1+3/1

y=2/1

4 0
3 years ago
Im going to die dumb please help
vova2212 [387]

Answer:

im thinking it's experimental or sample space but go with your mindset

Step-by-step explanation:

im thinking experimental since he made a prediction before. and im also thinking of sample space because he made a outcome if he rolled a regular dice 120 times basically that's a sample space so yah.

8 0
2 years ago
3. Let sin 21 = 0.358. What is the value of x for cos x=0.358?
r-ruslan [8.4K]

Answer:

\cos(69)

Step-by-step explanation:

We will use the co-function identity for sine, where:

\sin(x)=\cos(90-x)

Since sin(21)=0.358=cos(x). This means that:

21=90-x

Solve for x. Add x to both sides:

x+21=90

Subtract 21 from both sides:

x=69\textdegree

Hence:

\sin(21)=\cos(69)\approx0.358

6 0
2 years ago
Elena thinks length BC is 16.5 units. Lin thinks the length of BC is 17.1 units. Do you agree with either of them? Explain or sh
kirill [66]

Answer:

Option D, I agree with neither Elena nor Lin

Step-by-step explanation:

The remaining part of the question is attached herewith

Solution

As we can see in the image  

ED is perpendicular to AB and BC is perpendicular to AB

Thus, as per the Pythagoras theorem,  

AC^2 = AB^2 + BC^2  

14^2 = 6^2 + BC^2

BC^2 = 196-36 = 160

BC = 12.649 OR 12.65

Hence, option D

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5 0
2 years ago
One cell phone company charges a $76 sign-up fee and $40 per month. Another cell phone company charges $136 sign-up fee and $20
WARRIOR [948]

Answer:

The cost would be same after 3 months.

Step-by-step explanation:

Given that:

Charges of first company;

Sign up fee = $76

Per month charges = $40

Let,

x be the number of months

y be the total cost.

y = 40x + 76      Eqn 1

Charges of second company;

Sign up fee = $136

Per month charges = $20

y = 20x + 136     Eqn 2

For same cost,

Eqn 1 = Eqn 2

40x + 76 = 20x + 136

40x-20x = 136 - 76

20x = 60

Dividing both sides by 20

\frac{20x}{20}=\frac{60}{20}\\x=3

Hence,

The cost would be same after 3 months.

3 0
3 years ago
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