Answer:
a = -8
Step-by-step explanation:
you can solve this proportion by cross-multiplying:
4(a + 9) = -1(a + 4)
now distribute to eliminate parentheses
4a + 36 = -1a - 4
5a + 36 = -4
5a = -40
a = -8
Answer:
.6601
Step-by-step explanation:
to find u, which we assume is an angle of course, we can take arctan of both sides. so arctan(-7.721) = -1.4420. this angle is in quadrant 4, but it is not in the range. In this instance you just go around the circle again, or add 2pi, which gets us 4.8412. You can check and you get the same answer if you take the tangent of either.
So now we have a number in the appropriate range in the appropriate quadrant. That means we have the correct angle. The question asks what is sine of that angle cut in half. so sin(4.8412/2), which gets you your answer. let em know if something didn't make sense.
Answer:
The answer is a. 21.
Step-by-step explanation:
We solve this question by using Pythagoras theorem to relate the sides of a right angled triangle.
Here,
Hypotenuse of the given triangle(c)=75
Two sides of right angled triangle are:
a=72
b=?
Then,
for a given right angled triangle abc,
Using Pythagoras theorem,
Squaring on both sides,
or,
or, 
or,
or,
∴
So, the value of b is obtained to 21 by the use of Pythagoras theorem.
Answer:
It will take her 4 1/3 hours
Step-by-step explanation: so you know you needed to add 4 and 1/3 and you turn the 4 into 4/1 and 1/3 and since it adding you have to have the same denominator and you multiply 1x3 and if you do it on the bottom you have to do it on top so you also do 4x3 and 4x3 is 12 and one 1x3 is 3 and so you don't have to have to do it on the other fraction because now they have the same denominator now and now you add 12/3 + 1/3 and you shall get 13/3 and then you divide 13 divided by 3 and you shall get 4 1/3 and that shall be your answer.
hope it helps you!
In this question we already know the value of 'b' so put the value b=2 in the equation
=|4(2)-8| + |-1-(2)^2| + 2(2)^3
=|8-8| + |-1-4| + 2(8)
=0 -5 +16
=11
