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Ad libitum [116K]
3 years ago
10

What is the measure of angle R?

Mathematics
1 answer:
Alika [10]3 years ago
3 0

Answer:

m<R = 22.62°

Step-by-step explanation:

Reference angle = R

Opposite = 5 cm

Hypotenuse = 13 cm

Apply the trigonometric function SOH:

Sin R = Opp/Hyp

Sin (R) = \frac{5}{13}

R = sin^{-1}(\frac{5}{13})

R = 22.6198649°

m<R = 22.62° (nearest hundredth)

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Determine the number of real solutions each quadratic equation has. y = 12x2 - 9x 4 real solution(s) 10x y = -x2 2 real solution
nordsb [41]

All the given equations have 2 real solutions except for equation 4 which has only one real root.

<h3>What is a quadratic equation?</h3>

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

The given quadratic equation

y = 12x^2 - 9x+ 4

where, a = 12, b = -9 and c = 4

x = -b + \sqrt{b^2 - 4ac} /2a

x = -(-9)+ \sqrt{(-9)^2 - 4(12)(4)} /2(12)

x = 1.063 or -0.313

Second Equation

10x +y = -x^2 +2 \\y = x^{2} +10x - 2

where, a = 1, b = 10, c = -2

substitute the values into the equation

x = -b + \sqrt{b^2 - 4ac} /2a

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Third Equation

4y - 7 = 5x^2 - x +2 +3y

y = 5x^{2} -x -5

where, a = 5, b = -1, c = - 5

x = -b + \sqrt{b^2 - 4ac} /2a

-(-1) + \sqrt{(-1)^2 - 4(5)(-5)} /2(5)

x = 0.905 or -0.55

Fourth Equation

y = (-x +4)^2 \\y = x^{2} -8x +16

where, a = 1, b = -8, c = 16

x = -b + \sqrt{b^2 - 4ac} /2a

x = -(-8) + \sqrt{(-8)^2 - 4(1)(16)} /2(1)

x = 4

Learn more about quadratic equations;

brainly.com/question/13197897

6 0
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My mother is 12 years more than twice my age.after 8 years she will be 20 years less than three times my age...find my age and m
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You are correct for the first part, you would be 16 and your Mom would be 44. After 8 years, you would be 24 and your mother would be 52. You solve the second part by adding 8 to 16 which equals 24. Then multiply 24 times 3 which equals 72. Lastly, subtract 20 from 72 to find your mother's new age. Which would be 52.

Hope this helps !

4 0
4 years ago
A net for which three dimensional figure would always have six congruent rectangular regions
lana66690 [7]

This could be a hexagonal prism but a little bit of tricky one. Though hexagonal prism has 8 regions, the 6 sides and the bottom and top but it does have 6 congruent rectangular regions.

7 0
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I believe this is -5, hope it helped
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Please i really need help right now 25 points
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Step-by-step explanation:

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