What are the next four terms in the following arithmetic sequence? (-7), (-2), 3, 8,... A. 18, 23, 28, 33 B. 13, 18, 23, 28 C. 8
Triss [41]
Ok..ur adding 5 each time to get the next term
so the next 4 terms are : 13, 18, 23, 28
Answer:
12 in
Step-by-step explanation:
The area (A) of a trapezoid is calculated as
A =
h(b₁ + b₂ )
where h is the height and b₁, b₂ the parallel bases
Given h = 6, b₁ = 8 and A = 60 , then
× 6 × (8 + b₂ ) = 60 , that is
3(8 + b₂ ) = 60 ( divide both sides by 3 )
8 + b₂ = 20 ( subtract 8 from both sides )
b₂ = 12
The length of the second base is 12 inches
Divide (1/6 cup cheese) into (7/8 cup cheese):
7
--
8 7 6
----- = --- * --- = 42/8 = 5 2/8 = 5 1/4 = 5.25
1 8 1
--
6
She can prepare her recipe 5 times, with some material left over.
Answer:
<em>Most likely time, </em>according to PERT (Program evaluation and review technique).
Step-by-step explanation:
PERT is "a statistical tool used in <em>project management" (Program evaluation and review technique (2020), </em>in Wikipedia), and it is commonly used with CPM <em>(Critical Path Method)</em> to manage projects.
Inside PERT, there are different defined times to accomplished an activity in a project, that is:
- An <em>optimistic time</em> or minimum time required to accomplished an activity, i.e., if everything goes better than normal, the activity is accomplished before expected.
- A <em>pessimistic time, </em>a time quite the opposite to optimistic time.
- A <em>most likely time</em>, or a time required to accomplished an activity if everything goes as expected or normally.
- An <em>expected time</em>, an statistical estimation.
Considering the question, we have that the <em>time</em> when "the first module of the project could be completed":
- "[...] in as few as 15 days" is the <em>optimistic time</em>.
- "[...] or could take as many as 25 days" is the <em>pessimistic time</em>.
- "[...] but most likely will require 20 days" is the <em>most likely time</em>.
As a result, the <em>20-day estimate</em> is called the <em>most likely time</em> in the context of the PERT/CPM techniques.
By applying the law of sines, the length of side PQ is equal to 7.1 units.
<h3>What is the law of sines?</h3>
The law of sines is also referred to as sine law and it can be defined as an equation that relates the side lengths of a triangle to the sines of its angles.
<h3>How to calculate the length of PQ?</h3>
Mathematically, the law of sines is given by this equation:

Substituting the given parameters into the formula, we have;

PQ = 7.1 units.
Read more on law of sines here: brainly.com/question/7922954
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