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Irina18 [472]
2 years ago
10

What is the unit rate of the number of miles driven per number of hours of driving?

Mathematics
1 answer:
Vsevolod [243]2 years ago
4 0

Answer:

MPH

Step-by-step explanation:

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If the shortest side in a 30° 60° and 90° triangle is a half an inch long find the length of the other two sides
disa [49]
30=1/2 inch
60=1/2x2=1 inch
90=1/2x3=1 1/2

shortest side is 1/2 inch, medium side is 1 inch, longest is 1 1/2
5 0
2 years ago
The sum of two numbers is 9.9, and the sum of the squares of the numbers is 53.21. What are the numbers?
Snezhnost [94]

Answer:

There are two possibilities:

x_{1} = 3.5 and y_{1} = 6.4

x_{2} = 6.4 and y_{2} = 3.5

Step-by-step explanation:

Mathematically speaking, the statement is equivalent to this 2-variable non-linear system:

x + y = 9.9

x^{2} + y^{2} = 53.21

First, x is cleared in the first equation:

x = 9.9 - y

Now, the variable is substituted in the second one:

(9.9-y)^{2} + y^{2} = 53.21

And some algebra is done in order to simplify the expression:

98.01-19.8\cdot y +2\cdot y^{2} = 53.21

2\cdot y^{2} -19.8\cdot y +44.8 = 0

Roots are found by means of the General Equation for Second-Order Polynomials:

y_{1} \approx \frac{32}{5} and y_{2} \approx \frac{7}{2}

There are two different values for x:

y = y_{1}

x_{1} = 9.9-6.4

x_{1} = 3.5

y = y_{2}

x_{2} = 9.9 - 3.5

x_{2} = 6.4

There are two possibilities:

x_{1} = 3.5 and y_{1} = 6.4

x_{2} = 6.4 and y_{2} = 3.5

5 0
3 years ago
7: Triangle Similarity (Help, It would mean so much please & Thank you)
Ronch [10]
Answer: Question #1 The height of the tree is about 18 feet.

To solve this problem, you have to write a proportion using the similar triangles that are drawn. The height of the tree matches the height of the person and the shadows match.

Therefore, we can write and solve the following equation:

x/15 = 5.5/4.5
82.5 = 4.5x 
x = 18.33
4 0
3 years ago
Here is a circle touching a square.
Alex Ar [27]

Answer: 9πcm²

Step-by-step explanation: area of the square= 36cm²

Therefore, the area of one side= √area = √36 = 6cms

Since the circle is touching the sides of the square, the side of the square = the diameter of the circle

Therefore the radius of the circle= side/2 = 3cm

The formula for the ares of the circle is πr²

π*3*3 = 9πcm²

8 0
3 years ago
What is the slope of the line in the graph?​
11111nata11111 [884]

Answer:

1

Step-by-step explanation:

The slope of a line equals rise/run. That is the distance and height between each point. The horizontal and vertical distances are both 1, so 1/1= 1

5 0
3 years ago
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