Answer:
B. 152 cm²
Step-by-step explanation:
To find the surface area using a net, do this:
Take apart the figure. We see that there are three rectangles and two triangles. Find the area of each (
) and then add the values together:
The first rectangle on the left is the same as the one on the right.

Two measures are 40 cm².
The middle rectangle is:

48 cm²
The formula for the area of a triangle is
:

The area of the two triangles is 12 cm².
Now add the values:

The area of the figure is 152 cm².
:Done
Answer:
Step-by-step explanation:
Zach time of reading every weekend forms a sequence with these terms: 10, 20, 40, 80. On the other hand, that of Victoria forms a sequence with terms: 35, 50, 65, 80. By keenly observing the sequences, Zach's sequence is a geometric sequence with a common ratio equal to 2 and Victoria's sequence is an arithmetic or linear sequence with a common difference of 15. Thus, the answer is letter B.
Answer:
a.

b-Check illustration below
c.(-0.0517,0.0177
Step-by-step explanation:
a.let
denote processes 1 & 2.
For
: T1=10,n1=200
For
:T2=20,n2=300
Therefore

b. To test for hypothesis:-
i.

ii.For a two sample Proportion test

iii. for
(0.5 alpha IS 0.025),
reject
if
iv. Do not reject
. The noncomforting proportions are not significantly different as calculated below:

z=-0.78
c.
for the p1-p2 is given as:

=(-0.0517,+0.0177)
*CI contains o, which implies that proportions are NOT significantly different.
Answer: We can arrange the steps with help of below explanation.
Step-by-step explanation:
Here ABC is a triangle,
Draw a perpendicular from BD to side AC ( construction)
where 
In the right triangle BCD, from the definition of cosine:
cos C =CD/ BC
CD= a cos C
Subtracting this from the side b, we see that
DA= b-acos C
In the triangle BCD, from the definition of sine:
sin C =BD / a
BD = a sin C
In the triangle ADB, applying the Pythagorean Theorem
Substituting for BD and DA from (2) and (3)
⇒
( On simplification)
⇒
⇒
⇒
(because,
)