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Irina-Kira [14]
2 years ago
11

When a number is decreased by 8.5%, the result is 33. What is the original number to the nearest tenth?

Mathematics
1 answer:
Reil [10]2 years ago
7 0

Answer:

Step-by-step explanation:

Let the original number be x

(100-8.5)% of x = 33

91.5% of x = 33

\frac{91.5}{100}x=33\\\\x=33*\frac{100}{91.5}\\\\x=36.07

x= 36.1

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What is the sum of the matrices shown below?
damaskus [11]

Answer:

\left[\begin{array}{cc}3&9\\5&-2\end{array}\right] +\left[\begin{array}{cc}6&0\\-8&4\end{array}\right]=\left[\begin{array}{cc}9&9\\-3&2\end{array}\right]

Step-by-step explanation:

To add matrices, we add the corresponding components.

The given matrices is

\left[\begin{array}{cc}3&9\\5&-2\end{array}\right] +\left[\begin{array}{cc}6&0\\-8&4\end{array}\right]

We add the corresponding components to get;

\left[\begin{array}{cc}3&9\\5&-2\end{array}\right] +\left[\begin{array}{cc}6&0\\-8&4\end{array}\right]=\left[\begin{array}{cc}3+6&9+0\\5+-8&-2+4\end{array}\right]

We simplify to get:

\left[\begin{array}{cc}3&9\\5&-2\end{array}\right] +\left[\begin{array}{cc}6&0\\-8&4\end{array}\right]=\left[\begin{array}{cc}9&9\\-3&2\end{array}\right]

5 0
2 years ago
Read 2 more answers
The graph of the function f is shown. f(3) =
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Draw a picture! 29) The graph of the function f is shown<span> to the right. y Which of the following statements is false? ... </span>3<span>) On </span>the graph<span> to the right, draw a </span>function<span> that has the following properties: 0 A step (or jump) discontinuity at x = 5 </span>
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2 years ago
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An airplane, flying at a constant speed of 360 mi/hr and climbing at a 30 degree angle, passes over a point P on the ground at a
Klio2033 [76]

Answer:

Step-by-step explanation:

Given  

velocity of airplane is 360 mi/hr

inclination of climbing 30^{\circ}

Plane velocity can be divided in to x & y component

Velocity in x component is 360\cos30

Velocity in y component is 360\sin30

Thus distance traveled in x axis is =360\cos30\times \frac{1}{60}

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Distance travel in upward direction i.e. in Y axis

=360\sin30\times \frac{1}{60}=30 miles

so total altitude gain by plane is 30+4=34 miles

Horizontal distance traveled is 51.96

inclination w.r.t to point p

tan\theta =\frac{34}{51.96}=0.654

\theta =33.18^{\circ}

Initial inclination is 90^{\circ}

therefore rate at which its distance is changing is 360\cos30=311.76 miles /hour

3 0
2 years ago
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PolarNik [594]

Answer:

The correct options are 1, 3 and 4.

Step-by-step explanation:

We need to find the expressions whose simplified form is a rational number.

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For example: 0,2, 4.3 etc.

Irrational number: If a number can not defined in the form of p/q, where p and q are integers and q≠0, then it is called an irrational number.

First expression is

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4\sqrt{3} is an irrational number.

Third expression is

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21 is a rational number.

Fourth expression is

\sqrt{5}\cdot \sqrt{5}=5

5 is a rational number.

Therefore, the correct options are 1, 3 and 4.

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2 years ago
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Add all flowers to get denominator

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so your answer is

7/11 chance
3 0
2 years ago
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