(3 cos x-4 sin x)+(3sin x+4 cos x)=5
(3cos x+4cos x)+(-4sin x+3 sin x)=5
7 cos x-sin x=5
7cos x=5+sin x
(7 cos x)²=(5+sinx)²
49 cos²x=25+10 sinx+sin²x
49(1-sin²x)=25+10 sinx+sin²x
49-49sin²x=25+10sinx+sin²x
50 sin² x+10sinx-24=0
Sin x=[-10⁺₋√(100+4800)]/100=(-10⁺₋70)/100
We have two possible solutions:
sinx =(-10-70)/100=-0.8
x=sin⁻¹ (-0.8)=-53.13º (360º-53.13º=306.87)
sinx=(-10+70)/100=0.6
x=sin⁻¹ 0.6=36.87º
The solutions when 0≤x≤360º are: 36.87º and 306.87º.
The formula for the volume of pyramid is,

Here, B is base area and height of pyramid.
The volume expression for group 4 is,

Here, expression,

represents the base area and 9 represent the height of pyramid.
So height of the pyramid created by group 4 is 9.
Answer: 9
Answer: 24
Step-by-step explanation:
6, 12, 18, 24
8, 16, 24
The interest she would pay is $694.40.
<h3>What is simple interest?</h3>
Simple interest rate is the interest that is paid only on the principal portion of a loan. This means that the debtor does not pays interest on the interest rate already accrued.
<h3>What interest does she pay? </h3>
Simple interest = principal x time x interest rate
$6200 x 4 x 0.028 = $694.40.
To learn more about interest, please check: brainly.com/question/26164549
The answer is 2,700
This is because
60
x45
------------
300
+2400
--------------
Or Use Partial Products
60. 0. 1.0x40
___________. 2.60x40
I2400 I. 30. I.
40I. I. I. 3.0x40
|---------I----------I. 4.0x5
5I. 0. I. 0. I
l____ I______I
I hope this helped because this was a lot and I mean a lot of work