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goldfiish [28.3K]
3 years ago
11

A 16. in piece of string is 40....

Mathematics
1 answer:
andreyandreev [35.5K]3 years ago
3 0

Answer:

106.68 cm long

Step-by-step explanation:

Let's use a ratio:

inch : centimeters

 16   :     40.64

  1    :      2.54

 42  :    106.68

The ribbon would be 106.68 cm long.

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PLEASE HELP!!! Which rule explains why these scalene triangles are similar
olchik [2.2K]

Answer:  Ratio of Parts

<u>Step-by-step explanation:</u>

\text{Ratio of sides:}\ \dfrac{ST}{WS+ST}=\dfrac{66}{6+66}=\dfrac{66}{72}=\dfrac{11}{12}\\\\\\\text{Ratio of bases:}\ \dfrac{TU}{TU+UV}=\dfrac{44}{44+4}=\dfrac{44}{48}=\dfrac{11}{12}\\\\

The ratios are equal so the triangles are similar.

7 0
3 years ago
Find the product of:
eduard

Answer:

144/5

Step-by-step explanation:

\large \rm \: 9 \frac{2}{3} \times 1 \frac{1}{29} \times \frac{6}{15 } \times 7 \frac{1}{5}  \\  =  \frac{29}{3}  \times  \frac{30}{29}  \times  \frac{6}{15}  \times  \frac{36}{5}  \\  = 10 \times  \frac{216}{75}  \\  =  \frac{2160}{75}  \\  =  \frac{144}{5}

5 0
2 years ago
Read 2 more answers
Please help ASAP!
Kruka [31]

First, recall that

\sin(-\theta)=-\sin\theta

So if \sin(-\theta)=\dfrac15, then \sin\theta=-\dfrac15.

Second,

\tan\theta=\dfrac{\sin\theta}{\cos\theta}

We know that \tan\theta>0 and \sin\theta, which means we should also have \cos\theta.

Third,

\sin^2\theta+\cos^2\theta=1\implies\cos\theta=\pm\sqrt{1-\sin^2\theta}

but as we've already shown, we need to have \cos\theta, so we pick the negative root.

Finally,

\tan\theta=\dfrac{\sin\theta}{\cos\theta}\iff\dfrac6{\sqrt{12}}=\dfrac{-\frac15}{\cos\theta}\implies\cos\theta=-\dfrac1{5\sqrt3}

Unfortunately, none of the given answers match, so perhaps I've misunderstood one of the given conditions... In any case, this answer should tell you everything you need to know to find the right solution from the given options.

6 0
3 years ago
If f(x) = 11x-1, then f^-1(x)=?
4vir4ik [10]
Yes you are correct with that answer
3 0
3 years ago
Rich and Aylen are saving money to buy baseball tickets. Rich has $5 more than 3 times the amount of money Aylen has. Together,
Olenka [21]

Answer:

4x + 5 = 101

Step-by-step explanation:

<u>Step 1: Determine how much money both have</u>

Aylen: x

Rich: 5 + 3x

<u>Step 2: Write an equation and solve</u>

Aylen + Rich = 101

x + 5 + 3x = 101

<u>Step 3: Solve the equation</u>

x + 5 + 3x = 101

4x = 96

x = 24

Step 4: Determine how much money does Aylan and Rich have

Aylan has $24

Rich has 5 + 3(24) = $77

7 0
3 years ago
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