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ipn [44]
3 years ago
14

In right triangle ABC, shown below, cos C 9√130/9 find AC.

Mathematics
1 answer:
Afina-wow [57]3 years ago
6 0

Answer:

<h2>AC = 9</h2>

Step-by-step explanation:

cosine=\dfrac{adjacent}{hypotenuse}\\\\\text{We have:}\\\\\cos C=\dfrac{9\sqrt{130}}{130}\\\\adjacent=AC\\\\hypotenuse=\sqrt{130}\\\\\text{Substitute:}\\\\\dfrac{9\sqrt{130}}{130}=\dfrac{AC}{\sqrt{130}}\qquad\text{cross multiply}\\\\130AC=(9\sqrt{130})(\sqrt{130})\qquad\text{use}\ \sqrt{a}\cdot\sqrt{a}=a\\\\130AC=(9)(130)\qquad\text{divide both sides by 130}\\\\\dfrac{130AC}{130}=\dfrac{(9)(130)}{130}\\\\AC=9

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Matthew pays his employees $15 per hour for a 40 hour week and pays overtime at a rate of time and a half for hours over 40 hour
garik1379 [7]

B. 712.50

40hrs x $15/hr= $600

5hrs OT x time & a half pay ($22.50)= $112.50

$600 + $112.50= $712.50

7 0
3 years ago
Plz help me with this and plz show ur work!?! :)
Rufina [12.5K]

Answer:

Total height lowered = 75m

No of times balloon lowered = 5

Height lowered in each lowering = Total height lowered / No of times balloon lowered

                                                      = 75 / 5

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6 0
3 years ago
Write this expression as a complex number in standard form
amm1812

Answer:

81+144i

Step-by-step explanation:

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8 0
3 years ago
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What are the solutions to the quadratic equation (5y+6)^2=24
ankoles [38]
I hope this helps you


25y^2+60y+36-24=0


25y^2+60y+8 =0


disctirminant =60^2-4.25.8


disctirminant =3600-800


disctirminant =2800


x1= -60+square root of 2800/2.25



x1= -60+52.91/50= -7.09/50= -0.14



x2= -60- square root of 2800/2.25



x2= -60-52.91/50



x2= -2.25
3 0
3 years ago
a sheet of acrylic has a mass of 95.2g. Acrylic has a density of 1.19g/cm³ What is the volume of the sheet of acrylic
professor190 [17]

Answer:

80 cm³

Step-by-step explanation:

Density = mass/volume

1.19 = 95.2/volume

Volume = 95.2/1.19

= 80

4 0
4 years ago
Read 2 more answers
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