What is the solution to the proportion? 8/4=11/M Answers: A. M=3 B. M=5.5 C. M=7 D. M=22

Mathematics

1 answer:

leonid [27]2 years ago

3 0

Find their lcm which is 4m then multiply
8m=44
m=44/8 or 5.5

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I cant find out the answer for the life of me

Kaylis [27]

Answer:

A. h = (S/2πr) - r

Step-by-step explanation:

Solve the given for h:

S = 2πrh + 2πr²

Isolate h:

2πrh = S - 2πr²

Divide all terms by 2πr:

h = (S/2πr) - r

Correct choice is A

7 0

2 years ago

A 6 ft tall tent standing next to a cardboard box casts a 15 ft shadow. if the cardboard box casts a shadow that is 6 ft long th

ohaa [14]

What we know is that a 6 foot tall tent casts a 15 foot shadow. Lets represent that given this way: 6 = 15
So, the unknown (y), or what we want to know, is how tall the cardboard box if it has a 6 foot long shadow (noticeably the same height as the tent):
y = 6

6 = 15
y = 6

(6 x 6) / 15 = y
36 / 15 = y
2.4 = y

The height of the cardboard box is 2.4 feet.

4 0

2 years ago

Find all real solutions of the equation by completing the square. (Enter your answers as a comma-separated list.) x2 − 4x − 8 =

Nat2105 [25]

Answer:

After completing the square the expression is (x-2)^2 -12 =0 and real solution are x = 5.46 and x = -1.46

Step-by-step explanation:

We need to complete the square:

x^2 − 4x − 8 = 0

x^2 -2(x)(2)+(2)^2 -8 -4 =0

(x^2 -4x +4) - 12 = 0

(x-2)^2 -12 =0

Now, finding the value of x

(x-2)^2 -12 =0

(x-2)^2 = 12

taking square root on both sides

$\sqrt{(x-2)^2}= \sqrt{12} \\(x-2) = \pm\sqrt{12} \\x = \pm\sqrt{12} +2\\x = \sqrt{12}+2 \,\,and\,\,x=-\sqrt{12}+2\\x= 3.46+2 \,\,and\,\,x=-3.46+2\\x =5.46\,\,and\,\,x=-1.46$