Answer:
Angle Y = 35.69 degrees
Step-by-step explanation:
We can use some simple trigonometry to help us out. Here we know that side 7 is the opposite side relative to angle y, and 12 is the hypotenuse.
We think what trig ratio involves comparing opposite and hypotenuse. Sine is opposite over hypotenuse and we can set up a equation to solve.
Sine (Angle Y) = Opposite Side / Hypotenuse
Sine (Angle Y) = 7/12
(Angle Y) = Sine inverse (7/12)
Angle Y = 35.69
It's a parallelogram so if one angle is 90 degrees they all will be because of transverse angles and all that good stuff.
So we're given the diagonal of a rectangle and one side and we're asked to find the other. The diagonal of a rectangle is the hypotenuse of the right triangle whose legs are the sides of the rectangle. So this is a Pythagorean Theorem question in disguise:




Answer: 140 cm
I don't recall seeing this Pythagorean Triple before.
Answer:h=60×2
=120
Step-by-step explanation:
Answer:
753.6 ft^2
Step-by-step explanation:
given:
radius=9 ft
height=13 ft
total surface area of cylinder=2πrh+2πr2
=2*3.14*9*13 + 2*3.14*(9)^2
=244.92 + 2*3.14*81
=244.92 + 508.68
=753.6 ft^2
The graph that matches the given equation is y≥x-1 is Graph A.
Option: C.
<u>Step-by-step explanation:</u>
The given equation y≥x-1 is a linear inequality equation.
Graphing Linear Inequalities differs from graphing regular linear equations. That is it has certain rules to be followed to draw the graph.
- First, rearrange the equation as y in the left and other terms in the opposite side.
- Check for the line: y= , y≤ and y≥ comes with straight line where as y< and y> comes with a dotted line.
- Shading: If y> greater than or y≥ greater than or equal is present then the space above the line has to be shaded. If y< less than or y≤ less than or equal is present then the space below the line has to be shaded.
For the given equation y≥x-1,
The line will be solid passing through (0,-1) and (3,2) since it has y≥. Also, the region above the line is shaded.
So the graph A is the graph that matches the equation y≥x-1.