All categories

3 years ago

Three squares are placed next to each other as shown. The vertices A, B, and C are collinear. Find the dimension n. Replace the

lengths 4 and 7 by m and k, respectively. Express k in terms of m and n.

Mathematics

1 answer:

Anna007 [38]3 years ago

5 0

$\frac{k-m}{m} = \frac{n-k}{k} 
\\
\\k^2-mk=mn-mk
\\k^2=mn
\\k= \sqrt{mn} 
\\$

$7^2=4n
\\
\\n= \frac{49}{4}$

You might be interested in

Help with special right triangle please

Ahat [919]

Answer:

Step-by-step explanation:

Looking at the right angle triangle that contains x and y, we would apply trigonometric ratio to determine x an y. Taking 60 degrees as the reference angle,

Hypotenuse = y

Adjacent side = x

Opposite side = 36

Therefore,

Sin # = opposite side / hypotenuse

Sin 60 = 36/y

y = 36/Sin60 = 36/0.8660 = 41.57

Cos # = adjacent side/hypotenuse

Cos 60 = x/41.57

x = 41.57Cos 60 = 41.57 × 0.5 = 20.785

Sin45 = z/36

z = 36Sin45 = 36 × 0.7071 = 25.4556

7 0

3 years ago

Write the equation in standard form of the line that

aleksklad [387]

Answer:

x+2y=0

Step-by-step explanation:

y-y1=m(x-x1)

y-(-2)=-1/2(x-4)

y+2=-1/2x+4/2

y+2=-1/2x+2

y-(-1/2x)=2-2

y+1/2x=0

1/2x+y=0

2(1/2x+y)=2(0)

x+2y=0

6 0

3 years ago

Please help me!!!!!!! I WILL GIVE BRAINLIEST!!

katen-ka-za [31]

6- 20
8- 30
10- 10
20- 2 Questions?

7 0

3 years ago

Identify two methods a person can use to pay their bills online. Explain the advantages and disadvantages of both methods.

jek_recluse [69]

1) You can pay your bills online using your debit, credit card, or an electronic check. Advantage: you pay when you want and when you are sure you have money in the bank. Disadvantage: you have to remember to pay the bills by the due date.

2) You can set up automatic withdrawal from your bank account to pay your bills. Advantage: once you set it up, you do not have to remember to pay the monthly bills. Disadvantage: if you do not check your checking account balance to be sure there is enough money to cover the bills, your account may go negative.

Hope this helps! :)

5 0

3 years ago

Simplify this pleasee

DochEvi [55]

Answer:

48

Step-by-step explanation:

3(4)^2

48 is your answer 

5 0

3 years ago