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Alik [6]
3 years ago
5

What is the tangent of angle Z?

Mathematics
1 answer:
iragen [17]3 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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What is the value of a in a/5 + 3= 8
OLga [1]

Answer:

Step-by-step explanation:

what is the value of a in a/5 + 3= 8

a/5 + 3= 8

a/5 = 8 - 3

a/5 = 5

a = 5 * 5

a = 25

3 0
2 years ago
Read 2 more answers
Solve for x: -4(3x − 2) = 6x + 2
stepladder [879]

Answer:

x = 1/3

Step-by-step explanation:

-4(3x − 2) = 6x + 2

Distribute

-12x +8 = 6x +2

Add 12x to each side

12x-12x+8 = 6x+2+12x

8 = 18x+2

Subtract 2 from each side

8-2 = 18x+2-2

6 = 18x

Divide each side by 18

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4 0
2 years ago
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A group of tourists can be sorted into tour boats in groups of 4 or in groups of 6. In either case, there are no empty seats. Fi
kolezko [41]

Answer:

36

Step-by-step explanation:

First we need to write out some of the common multiples of 4 and 6.

12, 24, 36

The number 36 is between 25 and 45 so it is our answer

7 0
2 years ago
The expression 3.25b + 2h gives the cost of b burgers and h hotdogs what is the cost of 4 burgers and 6 hotdogs
timama [110]

3.25b + 2
the answer s 3.456
8 0
3 years ago
At a large local university, 40% of the students live in the dormitories. A random sample of 80 students is selected for a parti
likoan [24]

Answer:

0.9325

Step-by-step explanation:

Given  

n = sample size = 80

p = probability = 0.4

q = 1 – p = 0..6

standard deviation for the proportion = √ (p * q) /n = √(0.4*0.6)/80 = 0.0547

for the proportion mean is 0.4

now we can find z and the probability  

P (0.3<mean<0.5) = P((0.3– 0.4)/0.0547 < z < (0.5– 0.4)/0.0547)

P (0.3<mean<0.5) = P(-1.828< z < 1.828)

Using a z table

P (0.3<mean<0.5) = 0.9325

7 0
2 years ago
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