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pishuonlain [190]
3 years ago
9

Compare [3] and [ – 8|

Mathematics
1 answer:
mariarad [96]3 years ago
7 0

Answer:

3 > -8

Step-by-step explanation:

-8 -7 -6 -5 -4 -3 -2 -1 <u>0</u> 1 2 3 ....

-8< 3

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A student stands 20 m away from the foot
Ostrovityanka [42]

Answer:

Height of tree is \approx <em>15 m.</em>

<em></em>

Step-by-step explanation:

Given that student is 20 m away from the foot of tree.

and table is 1.5 m above the ground.

The angle of elevation is: 34°28'

Please refer to the attached image. The given situation can be mapped to a right angled triangle as shown in the image.

AB = CP = 20 m

CA = PB = 1.5 m

\angle C = 34°28' = 34.46°

To find TB = ?

we can use trigonometric function tangent to find TP in right angled \triangle TPC

tan \theta = \dfrac{Perpendicular}{Base}\\tan C= \dfrac{PT}{PC}\\\Rightarrow tan 34.46^\circ = \dfrac{PT}{20}\\\Rightarrow PT = 20 \times 0.686 \\\Rightarrow PT = 13.72\ m

Now, adding PB to TP will give us the height of tree, TB

Now, height of tree TB = TP + PB

TB = 13.72 + 1.5 = 15.22 \approx <em>15 m</em>

7 0
4 years ago
Oliver traveled 124.25 miles in 3.5 at a constant speed. What is the constant of proportionality in miles per hour?
Darina [25.2K]

Oliver traveled 124.25 miles in 3.5 hours at a constant speed

Rate = 124.25 / 3.5 = 35.5 miles per hour (MPH)

Answer:

The constant of proportionality is 35.5 miles per hour (MPH)

5 0
4 years ago
Please Find the solution to the following system using substitution or elimination: y = 3x + 7 y = -2x -3
Dmitrij [34]
Answer: A (-2, 1)
see image explanation attached

5 0
3 years ago
Is this linear or not and why
Fittoniya [83]

Answer:

  • Yes

Step-by-step explanation:

Both equations of this system are of degree one.

They are both linear as the graph of both is a line.

5 0
3 years ago
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The sum of two numbers is 40 and the difference of these numbers is 14. Write a system of equations to represent this scenario a
ExtremeBDS [4]

Answer:

26

Step-by-step explanation:

6 0
3 years ago
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