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Georgia [21]
2 years ago
4

Describe three ways to determine the measure of segment YZ.

Mathematics
2 answers:
NISA [10]2 years ago
7 0

Answer:

Solve the equation where the sine of 30 degrees is equal to YZ/50.

Solve the equation where the tangent of 30 degrees is equal to YZ/50.

Solve 180 - (30 + 90) = 60 to find the measure of angle Z. Then use the cosine of Z to write and solve an equation.

Use the 30°-60°-90° triangle theorem to find that YZ = 50/2.


viva [34]2 years ago
3 0
I need a picture to detemine the measurement of yz
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Answer:

Distance between the police station and the fire station be 4 miles

Step-by-step explanation:

Let distance between the police station and the fire station be x miles.

The distance between the library and the police station is 3 miles less than twice the distance between the police station and the fire station.

Distance between the library and the police station =2x-3

Also, distance between the library and the police station is 5 miles.

2x-3=5\\2x=3+5\\2x=8\\x=\frac{8}{2}\\ x=4\,\,miles

8 0
2 years ago
A motorboat covers the distance from one pier to the other pier in 4 hours and the way back in 5 hours. What is the speed of the
stiv31 [10]
Speed of current ------ y km/h 

<span>distance with the current = 4(x+y) </span>
<span>distance against the current = 5(x-y) </span>

<span>we know that 3.5(x+y) = 70 </span>
<span>x+y = 20 </span>

<span>but 4(x+y) = 4(20) = 80 </span>
<span>then 5(x-y) = 80 </span>
<span>x-y = 16 </span>

<span>x+y=20 </span>
<span>x-y=16 </span>
<span>add them </span>
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5 0
2 years ago
A farmer has 5 cartons of eggs for sale. Each carton contains 12 eggs.
MariettaO [177]

Answer:

10 eggs

Step-by-step explanation:

5 cartons multiplied by 12 eggs each equals 60 eggs in total.

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As a result 10 of the eggs are not brown

4 0
2 years ago
Find the value of y for a given value of x, if y varies directly with x.
stepan [7]

Answer:

5.46

Step-by-step explanation:

3.24/5.4 = y/9.1

7 0
2 years ago
Javier is purchasing a bouquet of roses from a floral shop. He wants the bouquet to have at least 12 roses but wants to spend le
Umnica [9.8K]

Answer: x+y\geq12

2.75x+3.50y\leq35

Step-by-step explanation:

Let x represents the number of red roses and y represents the number of white roses.

Given : Javier is purchasing a bouquet of roses from a floral shop. He wants the bouquet to have at least 12 roses.

i.e. the required inequality for this statement will be :-

No. of red roses +No. of white roses ≥ 12

i.e. x+y\geq12

Also, Red roses cost $2.75 each and white roses cost $3.50 each and he wants to spend less than $35.

i.e. $2.75(No. of red roses)+$3.50(No. of white roses)≤ $35

i.e. 2.75x+3.50y\leq35

Now, From (1) and (2) the system of inequalities represents the situation :

x+y\geq12

2.75x+3.50y\leq35

8 0
2 years ago
Read 2 more answers
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