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boyakko [2]
3 years ago
12

Tapiwa takes 5% more leaves than adam raked. together they raked 697 liters of leaves

Mathematics
1 answer:
Nina [5.8K]3 years ago
8 0
----------------------------------
Define their percentage:
----------------------------------
Adam = 100%
Tapiwa = 100 + 5 = 105%

----------------------------------
Find their total percentage:
----------------------------------
100 + 105 = 205

----------------------------------
Find 1%
----------------------------------
205% = 697 liters
1% = 3.4 liters

----------------------------------
Find 100% (Adam):
----------------------------------
100% = 3.4 x 100
100% = 340 liters

----------------------------------
Find 105% (Tapiwa):
----------------------------------
105% = 3.4 x 105 
105% = 357 liters

--------------------------------------------------------------------
Answer: Tapiwa =  357 liters and Adam = 340 liters.
--------------------------------------------------------------------

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Step-by-step explanation:

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3 years ago
Read 2 more answers
Law of sines: 2.2 units 2.4 units 3.0 units 3.3 units
Arada [10]

Answer:

RS=2.4\ units  

Step-by-step explanation:

<em>The complete question is </em>

What is the length of line segment RS? Use the law of sines to find the answer. Round to the nearest tenth.

see the attached figure to better understand the problem

step 1

Find the measure of angle S

Applying the law of sines

\frac{QS}{sin(R)}=\frac{QR}{sin(S)}

substitute the given values

\frac{3.1}{sin(80^o)}=\frac{2.4}{sin(S)}

Solve for sin(S)

sin(S)=\frac{sin(80^o)}{3.1}(2.4)

S=sin^{-1}[sin(80^o)}{3.1}(2.4)]

S=49.68^o

step 2

Find the measure of angle Q

Remember that the sum of the interior angles in any triangle mut b equal to 180 degrees

so

m\angle Q+m\angle R+m\angle S=180^o

substitute the given values

m\angle Q+80^o+49.68^o=180^o  

m\angle Q+129.68^o=180^o  

m\angle Q=180^o-129.68^o

m\angle Q=50.32^o

step 3

Find the length of segment RS

Applying the law of sines

\frac{QS}{sin(R)}=\frac{RS}{sin(Q)}

substitute the given values

\frac{3.1}{sin(80^o)}=\frac{RS}{sin(50.32^o)}

RS=\frac{3.1}{sin(80^o)}{sin(50.32^o)}  

RS=2.4\ units          

3 0
3 years ago
An online auction charges sellers a flat fee of $1.20 and 2% of the amount of the sale. Let A be the amount of the sale in dolla
Ipatiy [6.2K]

Answer:

The solutions are not viable because the amount of the sale cannot be negative

Step-by-step explanation:

We are told that;

Let A be the amount of the sale in dollars and C be the charge of the online auction

This means that both values of A and B should be non-negative integers.

Now, we are also told that An online auction charges sellers a flat fee of $1.20 and 2% of the amount of the sale.

We can conclude that the solution is not viable because the amount of sale of -1.1 cannot be negative.

3 0
3 years ago
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