Answer:
5/16
Step-by-step explanation:
15+(5-x)/x=30
1) Subtract 15 from both sides:
(5-x)/x=15
2) Multiply both sides by x:
5-x=15x
3) Add x to both sides:
16x=5
4) Divide both sides by 16:
x=5/16
Answer:
10x+4b+3
Step-by-step explanation:
x+x+x+x+x+x+x+x+x+x+b+b+b+b+3
There are 10 x
4 b
and one number
10x+4b+3
Drawing a diagram of a triangle may be helpful. The hypotenuse is irrelevant, but the vertical leg and the horizontal leg are useful. Since we know the engineer is looking up at a 45 degree angle from a distance of 200 feet, we can label the vertical leg the "opposite", since it is on the opposite side of the angle we are given. The horizontal leg then becomes the "adjacent". You can then use trigonometry to solve for the opposite.
The options are:
sin(theta)= opposite/hypotenuse
cos(theta)= adjacent/hypotenuse
tan(theta)= opposite/adjacent
Since we don't care about the hypotenuse, the last equation is the one to use. The angle we are given can be substituted in for theta:
tan(45)= x/200
1.61977519= x/200
x= 323.955038 feet
Answer:
-9x
Step-by-step explanation:
-7x + -2x
Factor out the x
x(-7-2)
x(-9)
-9x
Answer:
77 ft²
Step-by-step explanation:
Given that:
Surface Area of larger pyramid = 539 ft²
Scale factor of the smaller pyramid = 1/7
Tbe surface area of the smaller pyramid will be :
Scale factor * surface area
1/7 * 539ft²
= 539 ft² / 7
= 77 ft²
