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ddd [48]
2 years ago
15

Which equation is true when r = 7 ?

Mathematics
1 answer:
jeka57 [31]2 years ago
8 0

Answer:

7 = 49 ÷ r

Step-by-step explanation:

To find the equation that is true when r = 7, we need to find a number after the equals sign that is a multiple of 7.

Multiples of 7:  

7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77...

Therefore, the only answer option in which the number after the equals sign is a multiple of 7 is:

7 = 49 ÷ r

To prove this, input r = 7 into each of the equations:

   6 = 30 ÷ r

⇒ 6 = 30 ÷ 7

⇒ 6 ≠ 4.285... ← incorrect!

   7 = 54 ÷ r

⇒ 7 = 54 ÷ 7

⇒ 7 ≠ 7.714... ← incorrect!

   7 = 49 ÷ r

⇒ 7 = 49 ÷ 7

⇒ 7 = 7 ← correct!

   9 = 72 ÷ r

⇒ 9 = 72 ÷ 7

⇒ 9 ≠ 10.285... ← incorrect!

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4 0
3 years ago
Which statements about the values of 4.099 and 40.99 are true? Select all that apply. 4.099 is 110 of 40.99. 4.099 is 1100 of 40
liraira [26]

Answer:

40.99 is 10 times more than 4.099

Step-by-step explanation:

Given the values :

4.099 and 40.99

4.099 is 110 of 40.99 : 110 * 40.99 = 4508.9 (false)

4.099 is 1100 of 40.99 : 1100 * 40.99 = 45089 (false)

40.99 is 10 times more than 4.099 : (10 * 4.099) = 40.99 (true)

40.99 is 100 times more than 4.099 : (100 * 4.099) = 409.9 ( false)

4.099 is 10 times more than 40.99 : (10 * 40.99) = 409.9 (false)

8 0
3 years ago
A ladder leans against a 22-feet-tall apple tree. The base of the ladder forms a 42° angle with the ground. Approximately how ta
igomit [66]

(D) 33 feet

<u>Explanation:</u>

Given:

Height of the tree, h = 22 feet

angle, θ = 42°

Length of the ladder, l = ?

We know:

sin θ = Perpendicular / hypotenuse

So,

Sin θ = height of the tree / length of the ladder

sin 42^0 = \frac{22}{l} \\\\0.67 = \frac{22}{l} \\\\l = 32.84 feet

l = 32.84 feet ≈ 33 feet

Therefore, the length of the ladder be to reach the top of the apple tree is 33 feet.

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A kitchen sink holds 24 gallons of water. A full sink drains at 3 gal
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Letter D is the answer. Good luck!
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Using chain rule, what is the derivative of arcsin(sin(x))
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Chain rule:
if
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In our case
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Answer: dy/dx=cos x /√(1-sin²x)
7 0
3 years ago
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