Answer:
D. 13
Step-by-step explanation:
well since it's a quadratic equation, it can be written in the form of ax²+bx+c=0. So we have a=1, b=b and c= -30. Also the roots are given by the equation-
x= -b±
/2a. So all I did was put the number from the choices which would satisfy the sqrt part and that turned out to be 13 since 
= 
= 17. So b=13.
Sec theta = 1/cos theta = 1/0.5 = 2
Option D is the correct answer.
Answer:
I thought that all races were = I thought it was fine we all loved each other and that there were protests. That the black lives matter. if a police officer kills a white man bc the white man is a threat then no one cares but if a police man kills a black man bc a black man is a threat everyone protests. I thought we were = but then black people are out there saying there lives matter. They do but white lives matter too so do blue lives and green lives and purple lives. Everyone matters but if you say that apparently you get in trouble. All lives matter but instead people had to make a program titled black lives matter.
Also guys you can love a guy as a friend just not in a gay way. That is not okay you are getting confused I love my friend who is the same gender as me but I don't get my feelings confused. Can yall just be straight please.
Step-by-step explanation:
Answer:
5.0 ft - 5.6 ft
Step-by-step explanation:
Given that the structure is to be made using two 12 foot boards, then we expect the total perimeter to be equal to (2*12)= 24 ft.
Using the angle of elevation, 40° and the width of 8 ft then you can apply the formula for tangent of a triangle where ;
Tan α = opposite side length/adjacent length
Tan 40°= h/8
h= 8 tan 40° = 6.71 ft
Applying the cosine of an angle formula to find the length of the sliding side
Cosine β = adjacent length /hypotenuse
Cosine 40°= 8/ sliding side length
sliding side length = 8/cosine 40° =10.44 ft
Checking the perimeter = 10.44 +8+6.71= 25.15 ft
This is more than the total lengths of the boards, so you need to adjust the height as;
24 - 18.44 = 5.56 ft ,thus the height should be less or equal to 5.56 ft
h≤ 5.6 ft
