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grigory [225]
3 years ago
9

Which ratio represents the value of sin Q

Mathematics
1 answer:
Volgvan3 years ago
4 0

We know that :

\bigstar \ \ \boxed{\sf{sin\theta = \dfrac{Opposite \ Side}{Hypotenuse}}}

From the figure, We can notice that :

↔   Opposite side of Angle Q is 9 units

↔   Hypotenuse is 15 units

\sf{\implies sinQ = \dfrac{9}{15}}

\sf{\implies sinQ = \dfrac{3}{5}}

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Evaluate.<br><br> 4^3−4÷2⋅5<br><br><br> 20<br><br> 40<br><br> 54<br><br> 150
nika2105 [10]

Answer:

150

Step-by-step explanation:

1. 4^3 = 4 x 4 x 4 = 16 x 4 = 64

2. 64 - 4 = 60

3. 60 ÷ 2 = 30

4. 30 ⋅ 5 = 150

3 0
2 years ago
2. Chaleah deposited 700$ in a new account that earns 5% simple interest. After 4 years,
Oxana [17]

Answer:

Interest earned: $150.85

Total amount: $850.86

Step-by-step explanation:

Y=700(1.05)^4

Put the right side of the equation into a calculator and get

850.85 that's your total, so to get the amount earned subtract the original 700 from it and get 150.85

5 0
2 years ago
Find the common ratio of the geometric sequence 6, 48, 384, ...​
gregori [183]

Answer:

r = 8

Step-by-step explanation:

The common ratio r of a geometric sequence is

r = \frac{a_{2} }{a_{1} } = \frac{a_{3} }{a_{2} } = ..... = \frac{a_{n} }{a_{n-1} }

Then

r = \frac{48}{6} = \frac{384}{48} = 8

8 0
3 years ago
ABCD is a rectangle. Its diagonals meet at O. Find the value of x if BO = 3x + 4 andOC = x + 8 .Also find the length of its diag
scoundrel [369]

Step-by-step explanation:

the lengths OB, OC & BC together forms a isosceles triangle.

therefore,

OB=OC

3x+4=x+8

2x=4

x=2.

OB = 3x+4= 3.2+4=10cm.

OC= x+8= 2+8=10cm.

therefore, the diagonals are : 20cm each.

hope this helps you.

3 0
2 years ago
-30 + 5a &lt; 16<br> A. a 9.2<br> C.<br> a &lt; 9.2<br> a&gt; -2.8<br> a &lt; -2.8
Goryan [66]

Answer:

-30 + 5a < 16

5a < 46

a  <   \frac{46}{5}

a < 9.2

Hope this help...

4 0
3 years ago
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