Answer:
2/729
Step-by-step explanation:
I think that is the answer I hope it helps
Answer:
tanΘ = - 
Step-by-step explanation:
Using the trigonometric identities
• sin²x + cos²x = 1, hence
cosx = ± √(1 - sin²x )
• tanx = 
given sinΘ =
, then
cosΘ = ± 
Since Θ is in the second quadrant where cosΘ < 0, then
cosΘ = - 
= -
= - 
tanΘ = 
=
× -
= - 
Answer:
∠ABC ≅ ∠XYZ
Step-by-step explanation:
Given: ΔABC is similar to ΔXYZ.
If two triangles are similar, then
1. the corresponding angles are congruent
2. the corresponding sides are proportional
From the options given,
AB ≅ XY is not applicable for similar triangles. Hence the option is wrong.
∠ABC ≅ ∠XYZ since ΔABC ≅ ΔXYZ
Hence the answer is ∠ABC ≅ ∠XYZ
Answer:
There are 26 purple marbles in the bag.
Step-by-step explanation:
Firstly, you have to make an expression in terms of x where x represent red marbles. Given that the question says purple marbles is 2 more than 3 times the number of red marbles. So the expression is :
Let red marbles = x,


Next, given that the total marbles in the bag is 34 so you have to add both marbles together and solve the value of x :




Lastly, you have to substitute the value of x into the expression of purple marbles :
Let x = 8,


Answer:
To drain the water tower it will take 36 hours.
Step-by-step explanation:
Given:
A 72,000 water tower is being drained, and in an hour 2000 gallons are drained.
Now, to calculate the hours it would take to drain total 72,000 gallons of water, we should divide the gallons of water drained in one hour by total gallons of water in the tower.
Gallons of total water in the tower ÷ Gallons of water drained per hour


Therefore, to drain the water tower it will take 36 hours.