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topjm [15]
3 years ago
15

Trigonometry Problem Solving

Mathematics
1 answer:
Maslowich3 years ago
7 0

Step-by-step explanation:

Angle C = 180° - 83° - 59° = 38°

By Sine rule,

AC/sinB = AB/sinC

Therefore AC = ABsinB/sinC

= 10.3sin59°/sin38°

= 14.34km.

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For Exercises 6–9, determine the number of real solutions for each quadratic equation without solving.
valentina_108 [34]

Answer:

1) one real solution

2) no real solution

3) two real solutions

4) no real solution

Step-by-step explanation:

We have to determine the number of real solutions for each quadratic equation without solving.

ax^2 + bx +c=0\\D = b^2-4ac\\\text{If D is positive there are two real solutions}\\\text{Pif D is zero then there is one real solution}\\\text{if D is negative then there are no real solution.}

1)

p^2 + 7p + 33 = 8 - 3p\\p^2+10p+25=0\\D = 10^2 - 4(1)(25) = 0

Thus, the quadratic equation has one real solution.

2)

7x^2 + 2x + 5 = 0\\D = 2^2 - 4(7)(5) < 0

Thus, the quadratic equation has no real solution.

3)

2y^2 + 10y = y^2 + 4y - 3\\y^2+6y+3=0\\D = 6^2 - 4(1)(3) > 0

Thus, the quadratic equation has two real solutions.

4)

4z^2 + 9 = -4z\\4z^2 + 4z + 9 = 0\\D =4^2 - 4(4)(9) < 0

Thus, the quadratic equation has no real solution.

3 0
3 years ago
What are the solutions of the inequality? Graph the solutions. x/5 &gt; -2
amm1812
X/5 > -2

Multiply 5 on both sides:
x > -10

Draw a graph and draw a line for x > -10
(Look at the attachment below - where the green line is shown make it dotted)

Hope it helped :)

7 0
4 years ago
Zoe is working two summer jobs, making $7 per hour babysitting and making $15 per hour clearing tables. In a given week, she can
Nesterboy [21]

Answer:

9 hours

Step-by-step

$7x4=$28

$130-$28=$102

$102 divided by 14=8.57/ 8 hours and 57 minutes

8 hours 57 minutes rounded =9 hours  

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3 years ago
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Ivahew [28]

Answer:

c

Step-by-step explanation:


7 0
3 years ago
Part B
stiv31 [10]

Answer:

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6 0
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