Answer:
Your answer is 15
Step-by-step explanation:
1) 6 + 4 = 10
2) -4 + -1 = -5
3) now add
4) 10 + -5 + 15
5) it's 15 because the bigger is positive.
(a) The measure of the indicated angle for figure 1 is 48⁰.
(b) The measure of the indicated angle for figure 2 is 42⁰.
<h3>Measure of the indicated angle</h3>
The measure of the indicated angles can be calculated as follows;
<h3>Figure 1</h3>
sinθ = opp/hypo
sinθ = 72/97
sinθ = 0.7423
θ = sin⁻¹(0.7423)
θ = 47.9⁰ ≈ 48⁰
<h3>Figure 2</h3>
sinθ = 65/97
sinθ = 0.6701
θ = sin⁻¹(0.6701)
θ = 42.1⁰ ≈ 42⁰
Learn more about angles here: brainly.com/question/25770607
#SPJ1
Answer:
It will take about 35.49 hours for the water to leak out of the barrel.
Step-by-step explanation:
Let
be the depth of water in the barrel at time
, where
is measured in inches and
in hours.
We know that water is leaking out of a large barrel at a rate proportional to the square root of the depth of the water at that time. We then have that

where
is a constant of proportionality.
Separation of variables is a common method for solving differential equations. To solve the above differential equation you must:
Multiply by

Multiply by 

Take integral

Integrate

Isolate 

We know that the water level starts at 36, this means
. We use this information to find the value of
.


At t = 1, y = 34

So our formula for the depth of water in the barrel is

To find the time,
, at which all the water leaks out of the barrel, we solve the equation

Thus, it will take about 35.49 hours for the water to leak out of the barrel.
Answer:
20
Step-by-step explanation:
20 is divisible by 4, 5 and 10
Answer:
76 because if the two lines are parallel then x = 76
hope this helps and brainliest please