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Ainat [17]
3 years ago
14

For the remaining questions, show your work.

Mathematics
2 answers:
USPshnik [31]3 years ago
8 0

Step-by-step explanation:

a)-5=-3+a

-5+3=a

-2=a

a=-2

b)3c+2=-22

3c=-22-2

3c=-24

c=-24/3

c=-8

<h2><em>HOPE</em><em> THIS</em><em> </em><em>HELPS</em><em> </em><em>U!</em><em>!</em></h2>
ser-zykov [4K]3 years ago
5 0

Step-by-step explanation:

6a.

- 5 =  - 3 + a

- 2 = a

6b.

3c + 2 =  - 22

3c =  - 24

c =  - 8

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One side of a triangle is 2 times the second side. The third side is 15 feet longer than the second side. The perimeter of a
ch4aika [34]

Answer:

16, 8, 23

Step-by-step explanation:

2x+x+x+15=47

4x+15=47

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RideAnS [48]

Answer:

\frac{1}{2}  which agrees with answer B

Step-by-step explanation:

First write the equation that represents this type of variation:

y=\frac{5}{x}

then we need to solve for "x" when y  = 10 as shown below:

y=\frac{5}{x} \\10=\frac{5}{x} \\10*x=5\\x=\frac{5}{10} \\x=\frac{1}{2}

5 0
3 years ago
Carol is standing 8 feet from a lamppost. The angle of elevation from her eyes to the top of the lamppost is 20o, and the angle
kupik [55]

Answer:

Height of the lamppost = 5.602 ft + 2.912 ft = 8.514 ft

Step-by-step explanation:

The illustration form a triangle that can be demarcated into 2 right angle triangle. One triangle representing depression triangle and the other elevation triangle.

Depression triangle

The opposite side of the triangle formed is the length of the pole from the base to the horizontal line of sight. Therefore,

using tangential ratio

tan 35° = opposite/adjacent

tan 35° = a/8

cross multiply

a = 8 tan 35°

a = 8 × 0.70020753821

a = 5.60166030568

a = 5.602 ft

Elevation triangle

The opposite side of this right angle triangle represent the length from the horizontal line of sight to the top of the lamppost.

tan 20° = opposite/adjacent

tan 20° = b/8

cross multiply

b = 8 tan 20°

b = 8 × 0.36397023426

b = 2.91176187413

b = 2.912 ft

Height of the lamppost = 5.602 ft + 2.912 ft = 8.514 ft

8 0
3 years ago
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