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Gnesinka [82]
4 years ago
6

Anyone?? :)) please help

Mathematics
1 answer:
astra-53 [7]4 years ago
4 0

Answer:

see explanation

Step-by-step explanation:

Given M is directly proportional to r³ then the equation relating them is

M = kr³ ← k is the constant of proportion

To find k use the condition r = 4 when M = 160, thus

160 = k × 4³ = 64k ( divide both sides by 64 )

2.5 = k

M = 2.5r³ ← equation of proportion

(a)

when r = 2, then

M = 2.5 × 2³ = 2.5 × 8 = 20

(b)

when M = 540 , then

540 = 2.5r³ ( divide both sides by 2.5 )

216 = r³ ( take the cube root of both sides )

\sqrt[3]{216} = r , thus

r = 6

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I need help with number 2!! please help!
Maurinko [17]

Answer:

12.68

Step-by-step explanation:

76 degrees /2 = 38

Half the width of 15m forms the lower side of the triangle: 7.5 m

sin(38) = 7.5/h

=12.1820

12.18+.5

12.68

5 0
3 years ago
What is the area of the rectangle with points of (-5,5) (-1,7) (0,-5) (4,-3)
Gre4nikov [31]

Answer

l =5

w =2

Area of Rectangle= l ×  w

                            =  5 × 2 = 10

Diagram is attached to this:    

Step-by-step explanation:

Download pdf
5 0
3 years ago
If 70 mL of solution contains 280 mg of drug, how many milligrams of drug are in 50 mL of solution?
Ierofanga [76]
280 mg = 70 Ml
280/70 = 4
50 mL x 4 = 200 mg

200 mg
8 0
2 years ago
the circumference of a circle is 11.4mm. find the length of the diameter. give your answer rounded to 3SF.
kvasek [131]

Answer:

3.627 = d

Step-by-step explanation:

C = 11.4mm

d = ?

C = πd

11.4 = 22/7 × d

cross multiply

11.4 ×7 = 22d

79.8 = 22d

Divide both sides of the equation b 22

79.8/22 = 22d/22

3.627 = d

4 0
3 years ago
Evaluate the expression when m = 63 and n = 45
sesenic [268]

The value of the given expression (3m - n)² + 4m when m = 63 and n = 45 is equal to 20,916.

<h3>What is an expression?</h3>

An expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.

<u>Given the following variables:</u>

  • m = 63.
  • n = 45.

Substituting the given variables into the given expression, we have;

Expression = (3m - n)² + 4m.

Expression = (3(63) - 45)² + 4(45).

Expression = (189 - 45)² + 180

Expression = 144² + 180

Expression = 20,736 + 180

Expression = 20,916.

Read more on expressions here: brainly.com/question/28260012

#SPJ1

Complete Question:

Evaluate the expression when m = 63 and n = 45. (3m - n)² + 4m.

8 0
1 year ago
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