Answer:
17
Step-by-step explanation:
7h+3
7(2)+3
14+3
=17
Answer:
The two triangles to the right with the angle measures 53 and 37.
Step-by-step explanation:
We first need to make an equation that we can use to find the value of X. since we know that the interior angles of a triangle add up to 180 degrees we can create this,
2x-21+x+90=`180
In order to solve this, we need to isolate the variable. We can do this by adding 21 to each side then subtracting 90 from each side,
3x=111
next, we divide 11 by 3 to get the value of x alone.
x=37
we can now plug ex in to find the measures of the angles. when we do that we see the angles measure 90,37, and 53 degrees. these values match with the angle measure of the two triangles on the right side of the picture.
(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.
5 miles per hour. work is 60÷12= 5.
Answer:
I think its the third one but i might be wrong
Step-by-step explanation:
