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Serhud [2]
2 years ago
7

Find the are of the trapizoind

Mathematics
1 answer:
Andreyy892 years ago
6 0

9514 1404 393

Answer:

  7.5 square units

Step-by-step explanation:

The formula for the area of a trapezoid is ...

  A = 1/2(b1 +b2)h

where b1 and b2 are the lengths of the parallel bases, and h is the perpendicular distance between them.

Here, the bases are TR = 1 and PA = 4. The height is 3 units, so the area is ...

  A = (1/2)(1 +4)(3) = 15/2 = 7.5 . . . . square units

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Please look at the included picture, show me your work and please include a good explanation. It would really help me out here.
Jobisdone [24]

These are indeed equivalent, and this identity is one of DeMorgan's laws.

The 6th column is the negation of the 5th column. For example, the first row says

not <em>p</em> or <em>q</em>

is true (T), so the negation would be false (F). The 5th column reads {T, F, T, T}, so the next column should be {F, T, F, F}.

Then in the 7th/last column, you are checking the truth value of the statement

<em>p</em> and not <em>q</em>

For example, in the first row, both <em>p</em> and <em>q</em> are true (T). This means (not <em>q</em>) is false, so (<em>p</em> and not <em>q</em>) is false (F). The last column should end up reading {F, T, F, F}, same as the previous column.

8 0
3 years ago
6 m 6 m 19 m Not drawn to scale Find the volume of the triangular prism.
Aloiza [94]
The answer is 3) 324
7 0
3 years ago
Let U = {3, 6, 9, 12, 15, 18, 21, 24} and A = {9, 12, 15, 21}. A'
miskamm [114]

Answer:

A¹ = { 3 , 6, 18 , 24}

Step-by-step explanation:

<u><em>Explanation</em></u>:-

<u>Universal set </u>

If all the sets under consideration are the subsets of a fixed set 'U' then the set 'U' is called the Universal set.

Given  U = {3, 6, 9, 12, 15, 18, 21, 24}

Given A = {9, 12, 15, 21}

<u><em>Compliment Of A</em></u>

The Complement of a set A is all the objects that do not belong to set A

The Compliment of A is denoted by A¹

A¹ = U - A

     = {3, 6, 9, 12, 15, 18, 21, 24} - {9, 12, 15, 21}

A¹ = { 3 , 6, 18 , 24}

4 0
3 years ago
Solve for x and find the measure of the indicated angle.
Lynna [10]

Answer:

{ \rm{100 + (13x + 2) + (18x + 2) + 70 = 360}} \\  \\ { \rm{31x + 174 = 360}} \\  \\ { \rm{31x = 186}} \\  \\ { \rm{x =  6 }}

• Angle C

{ \rm{m \angle C = (13x + 2)}} \\  \\ { \rm{m \angle C = (13 \times  6) + 2 }} \\  \\ { \rm{m \angle C =80 \degree }}

5 0
2 years ago
If a triangular cross-section with coordinates at (1, 1), (1, 4), and (3, 1) is rotated about the line x = 1, what will be the r
Mkey [24]

Answer:

answer = cone

Step-by-step explanation:

just took the test and got it right! :)

4 0
2 years ago
Read 2 more answers
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