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Ket [755]
2 years ago
10

Work out the size of angle x.

Mathematics
1 answer:
Lena [83]2 years ago
7 0

Answer:

65°

Step-by-step explanation:

x=180°-40°-75°

x=65°

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Determine between which consecutive integers the real zeros of y(x) = x2 - 4x – 2 are located.
Sholpan [36]

Answer:

The zeros are x1=4.45 and x2=-0.45.

x1 is between 4 and 5.

x2 is between -1 and 0.

Step-by-step explanation:

We have the function:

y(x) = x2 - 4x-2

As this is a quadratic function, we can calculate the zeros of the function with the quadratic equation:

x_{1,2}=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\\\x=\dfrac{-(-4)\pm\sqrt{(-4)^2-4\cdot 1\cdot(-2)}}{2\cdot 1}\\\\\\x=\dfrac{4\pm\sqrt{16+8}}{2}\\\\\\x=\dfrac{4\pm\sqrt{24}}{2}\\\\\\x=\dfrac{4\pm4.9}{2}=2\pm2.45\\\\\\x_1=2+2.45=4.45\\\\x_2=2-2.45=-0.45

The zeros are x1=4.45 and x2=-0.45.

x1 is between 4 and 5.

x2 is between -1 and 0.

7 0
3 years ago
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PLEASE HELP ME FIND YHE SLOPE <br><br> 20 POINTS HELP ME PLWASW
NeX [460]
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3 0
3 years ago
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Please help me asap!!!!!
Alika [10]

Answer:

392

Step-by-step explanation:

1.49×10⁸/3.8×10⁵ = 392

8 0
2 years ago
Find the area of triangle ABC<br> please help asap!
Daniel [21]

Step-by-step explanation:

The Base of the triangle= 3+6=9 units

Altitude of the triangle=6-2=4 units

Hence, Area of a triangle= Base×Altitude ×1/2

Hence, Area of the abc = 9×4×1/2=18 unit^2

3 0
3 years ago
A countertop is 16 feet long and 3 feet wide. What is the area of the countertop in square meters
Eddi Din [679]
Length times width (48) 48 convert to sq meters is around 4.45935
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3 years ago
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