Answer: 12.1 ft
Step-by-step explanation:
A ramp represents a right-angled triangle so Pythagorean formula can be used to find the diagonal length which will also be the hypotenuse.
c² = a² + b²
Where:
c = hypotenuse
a = base
b = Height
c² = 11² + 5²
c² = 121 + 25
c² = 146
c = √146
c = 12.1 ft
2.
We have a transversal across parallel lines so we get the usual array of congruent and supplementary angles. We just have to figure out which is which, and the diagram, even though not to scale, makes it pretty obvious.
Angle x isn't the same as the 40° angle so it must be its supplement.
Answer: C 140°
3.
r=1.2, h=2.9, V = (1/3) πr²h
Nothing hard here, we just plug in the numbers,
V = (1/3) π (1.2)² (2.9) ≈ 4.37310
Answer: B. 4.4 cubic inches
4.
Dilation by .5 makes a similar triangle, and reflection is an isomorphism (i.e. it doesn't change the size or shape) so the answer is
Answer: B similar not congruent
5.
The corresponding interior and exterior angles of a triangle form a linear pair, so supplementary angles. x=180-110 = 70°
Answer: A 70°
Answer:
The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown".
Step-by-step explanation:
In x + 2 = 7, x is a variable, but we can work out its value if we try:)
Answer:
Answer: 4 Remainder :4
Step-by-step explanation:
10 | 44 |
10*4 = 40
44-40
4
Answer:
Company A:
c = 40 + 2s
Company B:
c = 20 + 4s
Equal costs => 40 + 2s = 20 +4s => 4s - 2s = 40 - 20 => 2s = 20 => s = 20/2
=> s = 10
And c = 20 + 4s = 20 + 4(10) = 20 + 40 = 60
Step-by-step explanation:
