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algol13
3 years ago
10

If the Alexanders completed the 735 mi. trip in 15 hr., what was their average rate of travel?

Mathematics
1 answer:
Stels [109]3 years ago
6 0

Average speed = Total distance / Total time

R = 735/15 = 49mi/hr

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From his eye, which stands 1.63 meters above the ground, Isaac measures the angle
Shkiper50 [21]

The height of the skyscraper if the angle of elevation to the top of a prominent skyscraper to be 17° is 91.51 meter

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

Let h represent the height of the skyscraper, hence:

tan(17) = h/294

h = 89.88 meter

Total height = 89.88 + 1.63 = 91.51 meter

The height of the skyscraper if the angle of elevation to the top of a prominent skyscraper to be 17° is 91.51 meter

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3 0
2 years ago
What is the solution to the equation? square root -2x-5-4=x A. -7 and -3 B. 3 and 7 C. -3 D. 7
Alexxx [7]

Answer:

3

Step-by-step explanation:

step1 Isolate the square root on the left hand side

    Original equation

    √2x-5-4 = -x

    Isolate

    √2x-5 = 4-x

step2 eliminate the radical on the left hand side

    Raise both sides to the second power

    (√2x-5)2 = (4-x)2

    After squaring

    2x-5 = x2-8x+16

step3 Solve the quadratic equation

    Rearranged equation

    x2  - 10x  + 21 = 0

    This equation has two rational roots:

      {x1, x2}={7, 3}

step4 Check that the first solution is correct

    Original equation, root isolated

    √2x-5 = 4-x

    Plug in 7 for  x  

     √2•(7)-5 = 4-(7)

     Simplify

     √9 = -3

     Solution does not check

     3 ≠ -3

step5 Check that the second solution is correct

    Original equation, root isolated

    √2x-5 = 4-x

    Plug in 3 for  x  

     √2•(3)-5 = 4-(3)

     Simplify

     √1 = 1

     Solution checks !!

    Solution is:

     x = 3

3 0
3 years ago
Suppose Tommy walks from his home at (0, 0) to the mall at (0, 7), and then walks to a movie theater at (5, 7). After leaving th
BaLLatris [955]
For this case, what we must do is find the distance between each ordered pair.
 For this, we use the formula of distance between points.
 We have then:
 d =  \sqrt{(x2-x1)^2+(y2-y1)^2}

 For (0, 0) and (0, 7):
 
d1=\sqrt{(0-0)^2+(7-0)^2}
 d1=\sqrt{(0)^2+(7)^2}
 d1=\sqrt{0+49}
 d1=\sqrt{49}
 d1=7

 For (0, 7) and (5, 7):
 
d2=\sqrt{(5-0)^2+(7-7)^2}
 d2=\sqrt{(5)^2+(0)^2}
 d2=\sqrt{25+0}
 d2=\sqrt{25}
 d2=5

 For (5, 7) and (5, 0):
 
d3=\sqrt{(5-5)^2+(7-0)^2}
 d3=\sqrt{(0)^2+(7)^2}
 d3=\sqrt{0+49}
 d3=\sqrt{49}
 d3=7

 before returning home the total distance is:
 d1 + d2 + d3 = 7 + 5 + 7&#10;&#10;d1 + d2 + d3 = 19

 Answer:
 
before returning home Tommy walks about 19 blocks

5 0
3 years ago
How do I solve this problem
aleksley [76]
Can you explained the triangle. bad pic
3 0
3 years ago
Jason ran 325 meters father than kim ran kim ran 4.2km how many meters did jason run
kow [346]
The difference between Jasons in Kim’s meters ran are 3875
8 0
3 years ago
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