Answer:
-3m-4n+14 (D)
Step-by-step explanation:
R-S+T=
<em>Substitute the Values given</em>
(11-2m)-(n+5)+(-m-3n+8)=
<em>Open Parenthesis</em>
11-2m-n-5-m-3n+8=
<em>Combine Like Terms</em>
-3m-4n+14
Solution set of inequality-7<3x+2<11, where x is a real number
Answer:
Options A and Option B
Step-by-step explanation:
All four sides AX, IX, IS and AS of the base are common in the four side walls of the prism.
In other words, edge AX is common in planes AXU and AXS,
Edge XI is common in planes XIB and AXS,
Edge SI is common in planes EBS and AXS,
Edge AS is common in planes CEA and AXS.
Therefore, plane AXS is intersecting planes AXU and EBS.
Options A and Option B are the correct options.
Answer:
Step-by-step explanation:
The first thing we have to do is find the measure of angle A using the fact that the csc A = 2.5.
Csc is the inverse of sin. So we could rewrite as
or more easy to work with is this:
and cross multiply to get
2.5 sinA = 1 and
which simplifies to
sin A = .4
Using the 2nd and sin keys on your calculator, you'll get that the measure of angle A is 23.58 degrees.
We can find angle B now using the Triangle Angle-Sum Theorem that says that all the angles of a triangle have to add up to equal 180. Therefore,
angle B = 180 - 23.58 - 90 so
angle B = 66.42
The area of a triangle is
where h is the height of the triangle, namely side AC; and b is the base of the triangle, namely side BC. To find first the height, use the fact that angle B, the angle across from the height, is 66.42, and the hypotenuse is 3.9. Right triangle trig applies:
and
3.9 sin(66.42) = h so
h = 3.57
Now for the base. Use the fact that angle A, the angle across from the base, measures 23.58 degrees and the hypotenuse is 3.9. Right triangle trig again:
and
3.9 sin(23.58) = b so
b = 1.56
Now we can find the area:
so
A = 2.8 cm squared
Step-by-step explanation:
A²+B²=C²
A²+4²=5²
A²+16=25
-16 -16
A²=9
√A=√9
A=3
