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ycow [4]
3 years ago
5

Gary has a box of pencils. In the box, 7/21 of the pencils have been sharpened. Select the three fractions that are proportional

to the fraction of sharpened pencils in Gary’s box.
A) 1/3
B) 1/7
C) 12/4
D) 13/39
E) 14/42
F) 21/7
Mathematics
2 answers:
Luda [366]3 years ago
8 0

Answer:

A) 1/3 D) 13/39 E) 14/42

Step-by-step explanation:

hope this helps. brainliest please.

nikitadnepr [17]3 years ago
7 0
A, B, E. A) divide by 3 B)Divide by 7 E) Multiply by 2
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Bill earns $12 per hour and works at most 40 hours per week. Identify the independent and dependent quantity in the situation, a
sesenic [268]
Independent: number of hours worked
Dependent: income earned
Domain: between 0 and 40 hours
Range: between 0 and 480$
3 0
3 years ago
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26. Law of sines, please give a step by step explanation
Stels [109]

Answer:

  174.6 ft

Step-by-step explanation:

It can be helpful to draw a diagram of the triangle we're concerned with. (See attached.)

We know the angle at the end of the shadow inside the triangle is 52°-22° = 30°. We assume the tree is growing straight up out of the hillside, so its angle with the hill inside the triangle is 90°+22° = 112°. Then the remaining angle between the shadow and the tree at the top of the tree is ...

  180° -30° -112° = 38°

Now, we have the angle opposite the tree, and the angle opposite the known side length of the triangle (215 feet along the hill, AC in the diagram). This is enough information to usefully use the Law of Sines.

  c/sin(C) = a/sin(A)

  c = a(sin(C)/sin(A)) = (215 ft)(sin(30°)/sin(38°)) ≈ 174.6 ft

The height of the tree is about 174.6 feet.

5 0
3 years ago
Jordan was asked to convert 345,000,000 to scientific notation. His response was 34.5*10^7. His teacher told him he was incorrec
mel-nik [20]

Step-by-step explanation:

The scientific notation of any number is given by :

N=a\times 10^b

a is any real no and b is any integer

The scientific notation of 345,000,000 should be 3.45\times 10^8 but Jorden wrote 34.5×10⁷. He is incorrect. He should have shifted decimal before 4 such that power of 10 becomes 8.

5 0
3 years ago
If you were present 120 days out of 124 days what percent were you present
emmainna [20.7K]

Answer:

~96.6

Step-by-step explanation:

120/124 is 30/31 or 60/62 or 96.6/99.82

5 0
3 years ago
Find the inverse of ????−7 −2
Masja [62]

Answer:

A^{-1}=\begin{bmatrix}1 & 2\\ -4 & -7\end{bmatrix}

Step-by-step explanation:

A=\begin{bmatrix}-7 & -2\\ 4 & 1\end{bmatrix}

det\ A=-7\times 1-(-2)\times 4\\\Rightarrow det\ A=1

A^{-1}=\frac{1}{det\ A}\begin{bmatrix}1 & 2\\ -4 & -7\end{bmatrix}\\\Rightarrow A^{-1}=\frac{1}{1}\begin{bmatrix}1 & 2\\ -4 & -7\end{bmatrix}\\\Rightarrow A^{-1}=\begin{bmatrix}1 & 2\\ -4 & -7\end{bmatrix}

\therefore A^{-1}=\begin{bmatrix}1 & 2\\ -4 & -7\end{bmatrix}

A.A^{-1}=\begin{bmatrix}-7 & -2\\ 4 & 1\end{bmatrix}\times \begin{bmatrix}1 & 2\\ -4 & -7\end{bmatrix}\\\Rightarrow A.A^{-1}=\begin{pmatrix}\left(-7\right)\cdot \:1+\left(-2\right)\left(-4\right)&\left(-7\right)\cdot \:2+\left(-2\right)\left(-7\right)\\ 4\cdot \:1+1\cdot \left(-4\right)&4\cdot \:2+1\cdot \left(-7\right)\end{pmatrix}\\\Rightarrow A.A^{-1}=\begin{pmatrix}1&0\\ 0&1\end{pmatrix}

Hence, confirmed

6 0
4 years ago
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