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3 years ago

Please don't include the answer, just tell me the process!

Mathematics

1 answer:

iragen [17]3 years ago

8 0

It would probably help you if you drew the situation. First realize that the length of the rope is larger than one of the dimensions. If you allow the rope to line up with the side of larger dimension it can only sweep out an arc until it touches the opposite side.

The angle swept out can be found by realizing that sina=smaller dimension / length of rope in this case:

sina=smaller dimension/ rope length

a=arcsin(smaller dimension/ rope length)

So the sector area is:

A=p(rope length)^2(a/360)

What remains other than the sector area a triangle with a width of the smaller dimension and a height of h=√(rope^2-width^2)

The area of this triangle is just: A=(w/2)*(√(rope^2-width^2))

Then you just add the sector area to the triangle area and you will have the area the tiger can access.

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Joshua has $560. He wants to buy a laptop that costs $320 as well as a case for the laptop that costs $65 and is currently on sa

Igoryamba

Answer:$154.73

Step-by-step explanation:

Take 65 and multiple .15 and that will give you the 15% off of the case. When u do that you get 9.75 so then 65-9.75= 55.25 multiply .08 for the sales tax on the case = 4.42 add to 55.25= 59.67 then add the sales tax for the laptop 320 multiplied by .08 = 25. 60 for a total of 345.60 then add that to 59.67 = 405.27 then u have to subtract that from 560 and Josh has $154.73

6 0

4 years ago

How do i solve <br> 3n= 3.6

quester [9]

Answer:

n = 1.2

Step-by-step explanation:

3n = 3.6

Divide both sides by 3 to get n by itself.

3.6/3 = 1.2

n = 1.2

5 0

3 years ago

Read 2 more answers

Using column b row 4, find the intersection of lombard street and larkin street. imagine you are in a car: head east on lombard

nirvana33 [79]

<span>Taylor Street.
I am assuming that the Lombard street is the famous Lombard street in San Francisco, California. With that assumption, after going East 3 blocks, you'll reach the intersection of Lombard and Jones. After going south 2 blocks, you'll reach the intersection of Jones and Filbert. Finally, after turning left and going 1 block, the first intersection will be Taylor Street.</span>

3 0

4 years ago

To make a specific hair dye, a hair stylist uses a ratio of 1 1/8 ounces of red tone, 3/4 ounces of gray tone, and 5/8 ounces of

natima [27]

Answer: To make 20 ounces of dye, we need 3 oz red tone, 6 oz of gray tone and 5 oz of brown tone.

To make 100 ounces of dye, we need 15 oz red tone, 30 oz of gray tone and 25 oz of brown tone.

Step-by-step explanation:

The amount of specific hair dye made by given ingredients= $1\frac{1}{8}+\frac{3}{4}+\frac{5}{8}$

$=\frac{9}{8}+\frac{3}{4}+\frac{5}{8}$

$=\frac{9+6+5}{8}=\frac{20}{8}=\frac{5}{2}\ oz$

Therefore , The amount of specific hair dye made by given ingredients= $\frac{5}{2}$ qz

Multiply reciprocal of $\frac{5}{2}$ to each ingredient to find the amount of each ingredient required to make 1 oz of specific hair dye.

To make 1 oz of specific dye, the amount of red tone needed $=\frac{3}{8}\times\frac{2}{5}=\frac{3}{20}\ oz$

Similarly, Gray tone= $\frac{3}{4}\times\frac{2}{5}=\frac{3}{10}\ oz$

Brown tone= $\frac{5}{8}\times\frac{2}{5}=\frac{1}{4}\ oz$

Now, multiply 20, to each

To make 20 oz of specific dye, the amount of red tone needed $=\frac{3}{20}\times20=3\ oz$

Similarly, Gray tone= $\frac{3}{10}\times20=6\ oz$

Brown tone= $\frac{1}{4}\times20=5\ oz$

To find each dye to make 100 ounces of dye, multiply 5 to the above amounts, [since $100=20\times5$ ]

To make 20 oz of specific dye, the amount of red tone needed $=15\ oz$

Similarly, Gray tone= $30\ oz$

Brown tone= $25\ oz$

3 0

3 years ago

Read 2 more answers

A truck rental store charges $50 plus 14 each hour use an algebraic expression to find the cost of the truck rental for 5 hours

Liula [17]

f(x)=14x+50

f(5)=14(5)+50

70+50=120

f(5)=120

4 0

3 years ago