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nadezda [96]
3 years ago
12

Given the known sides, solve for y

Mathematics
1 answer:
PtichkaEL [24]3 years ago
7 0

Answer:

We conclude that:

  • m∠y = 70.53°

Step-by-step explanation:

From the given right-angled triangle,

  • Hypotenuse is 15
  • The angle is ∠y
  • The adjacent to angle ∠y is 5

Using the trigonometric ratio,

cos y = adjacent / hypotenuse

substituting adjacent = 5, hypotenuse = 15

cos y = 5/15

cos y = 1/3

y = arc cos (1/3)

y = 70.53°

Therefore, we conclude that:

  • m∠y = 70.53°
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The distance a spring stretches varies directly as the amount of weight that is hanging on it. A weight of 2.5 pounds stretches
marishachu [46]
2.5 / 18 = 6.4 / x
cross multiply
(2.5)(x) = (18)(6.4)
2.5x = 115.2
x = 115.2 / 2.5
x = 46.08 inches
6 0
2 years ago
Rewrite the expression with the given base. 25^3x with a base of 5
spin [16.1K]
\bf 25=5^2\qquad \qquad 25^{3x}\implies (5^2)^{3x}\implies 5^{2\cdot 3x}\implies 5^{6x}
6 0
3 years ago
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Please show your work
belka [17]

Answer:

W = 8.2 cm

Step-by-step explanation:

The perimeter formula is P = 2W + 2L and here the perimeter is 65.6 cm.

Thus, 65.6 cm = 2W + 2L.  Substituting 3W for L, we get

          65.6 cm = 2W + 2(3W) = 8W.

Solving for W by dividing both sides by 8, we get W = 65.6 cm / 8, or

W = 8.2 cm

3 0
2 years ago
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√6 + √30 <br><br> √36 + √36<br><br> √ - Square Root<br><br> Pls help :(
slavikrds [6]
The square root of 6 is 2.44 +
Square root of 30 is 5.47
So 2.44 + 5.47 is 4.01
Your answer is 4.01

Square root of 36 is 6
So 6+ 6 is 12
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8 0
3 years ago
Find the distance between A (6, -1) and B ( -18, 15)
timama [110]

Answer:

8√13 units

Step-by-step explanation:

We use the distance formula.

The distance formula states that the distance between two points (x, y) and (a, b) is equal to:

d = \sqrt{(x-a)^2+(y-b)^2}

Here, x = 6, y = -1, a = -18, and b = 15. Plug these in:

d = \sqrt{(x-a)^2+(y-b)^2}

d = \sqrt{(6-(-18))^2+(-1-15)^2}=\sqrt{24^2+(-16)^2} =\sqrt{576 + 256} =\sqrt{832} = 8√13

The answer is thus 8√13 units.

<em>~ an aesthetics lover</em>

7 0
3 years ago
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