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Alik [6]
4 years ago
5

What is the tangent of angle Z?

Mathematics
1 answer:
iragen [17]4 years ago
8 0

Answer:

C)  12/5

Step-by-step explanation:

Tan = Opposite / Adjacent

So

Tan(Z) = YX /YZ

Given: YZ = 5 and XZ = 13

so

(YZ)^2 = (XZ)^2   - (YZ)^2

= 13^2 - 5^2

= 169 - 25

= 144

YZ = 12

Tan(Z) = YX /YZ

Tan(Z) = 12/5

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Solve the system of linear equations by elimination.<br> -3.x – 5y = -7<br> -4x + 5y = 14
julia-pushkina [17]

Answer:

(- 1, 2 )

Step-by-step explanation:

Given the 2 equations

- 3x - 5y = - 7 → (1)

- 4x + 5y = 14 → (2)

Add the 2 equations term by term to eliminate y , that is

- 7x + 0 = 7

- 7x = 7 ( divide both sides by - 7 )

x = - 1

Substitute x = - 1 into either of the 2 equations and solve for y

Substituting into (1)

- 3(- 1) - 5y = - 7

3 - 5y = - 7 ( subtract 3 from both sides )

- 5y = - 10 ( divide both sides by - 5 )

y = 2

solution is (- 1, 2 )

8 0
3 years ago
Read 2 more answers
Dan Perkins goat is attached to the corner of the 8-foot-by-4-foot pump house by QN 8-foot length of rope. The goat eats the gra
SashulF [63]
The goat is tied in the four corners of an 8-foot by 4-foot pump house. The rope is 8 feet. The goat is eating the grass, forming a circle The pattern is 3/4 of a circle radius 8 and 1/4 of a circle radius 4.

Getting the area of radius of 8 feet
Area = pi * r^2
Area = pi * 8^2
Area = 201.06 feet^2

Getting the area of radius of 4 feet
Area = pi * r^2
Area = pi * 4^2
<span>Area = 50.27 feet^2
</span>
3/4 of 201.06 = 150.80 feet ^2
1/4 of 50.27 = 12.60 feet^2

So the total area is 153.40 feet^2
8 0
3 years ago
Ari exercises 1 5/8 hours per day. If he exercises five days a week, how many total hours does he exercise in a week?
Anit [1.1K]

Answer:

8.125

Step-by-step explanation:

Just do 1 and 5/8 times 5

3 0
4 years ago
Read 2 more answers
Equivalent fraction for 5/9, 4/15
svetlana [45]
     5/9=10/18
     4/15=8/30
5 0
3 years ago
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A farmer has 100 gallons of 70% pure disinfectant. He wishes to mix it with disinfectant which is 90% pure in order to obtain 75
quester [9]

33.33 Gallons.


Hope this helps! :D

5 0
3 years ago
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