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Anastasy [175]
3 years ago
6

Find the area of the shape shown below.

Mathematics
1 answer:
disa [49]3 years ago
8 0

Answer:  31.5 square units

Explanation:

The area of the rectangle is length*width = 7*3 = 21 square units

The area of the triangle is 0.5*base*height = 0.5*7*3 = 10.5 square units

The combined area is 21+10.5 = 31.5 square units

You might be interested in
A bag contains 8 black beads and 4 white beads. If 2 beads are drawn at random, what is the probability that both beads are blac
maria [59]

Answer:

14/33

Step-by-step explanation:

The total amount of beads is 8+4 = 12.  8 of these are black beads, so that is what we want, so 8/12 or 2/3.  For the second one, one black bead is already taken so 8-1 = 7 are left and for the total 12 - 1 = 11 are left, so 7/11.  Multiply this by 2/3 and we get 14/33.

3 0
3 years ago
How many terms are in the arithmetic sequence shown below?<br>15, 7, -1, -9...,-225
NemiM [27]
We know that

We can write an Arithmetic Sequence as a rule:

<span>an = a1 + d(n−1)</span>

where

<span>a1 = the first term
<span>d =the "common difference" between terms

in this problem
a1=15  a2=7  a3=-1  a4=-9  .....    an=-225
d=a2-a1  
d=7-15-----> d=-8

</span></span>an = a1 + d(n−1)
for
an=-225
d=-8
a1=15
find n
-225=15+(-8)*(n-1)--> (n-1)=[-225-15]/-8----> n-1=30---> n=30+1---> n=31

the answer is
31

3 0
3 years ago
mauricio estimates that the first module of the project could be completed in as few as 15 days or could take as many as 25 days
4vir4ik [10]

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.

3 0
3 years ago
Four whole nuber are each rounded to the nearest 10 the sum of the four rounded numbers is 90 what is the possible maximum sum o
bearhunter [10]

Answer:

106

Step-by-step explanation:

Let's try guessing...

45+45=90\\30+30+30=90\\10+20+30+30=90

All the units place has to be 4, if it is higher than 4 then the answer will not be 90 (the sum of the four rounded numbers).

14 + 24 + 34 + 34= 106

3 0
3 years ago
What is the x intercept for y=3x+4
kirill [66]
The x-intercept is (-4/3,0).

Hope that helps!
7 0
3 years ago
Read 2 more answers
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