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3 years ago

Find the volume of this rectangle pyramid

Mathematics

1 answer:

Naily [24]3 years ago

8 0

Answer:

V=105 $yd^{3}$

Step-by-step explanation:

V= LxWxH/3

V=9x7x5/3

V=105 $yd^{3}$

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Plz help

Molodets [167]

The irrational numbers are √10,√27,√99.

3 0

3 years ago

Experimentally verify sum of three angles of an triangle is 180⁰.

svetlana [45]

Draw line a through points A and B. Draw line b through point C and parallel to line a.

Since lines a and b are parallel, <)BAC = <)B'CA and <)ABC = <)BCA'.

It is obvious that <)B'CA + <)ACB + <)BCA' = 180 degrees.

Thus <)ABC + <)BCA + <)CAB = 180 degrees.

Lemma

If ABCD is a quadrilateral and <)CAB = <)DCA then AB and DC are parallel.

Proof

Assume to the contrary that AB and DC are not parallel.

Draw a line trough A and B and draw a line trough D and C.

These lines are not parallel so they cross at one point. Call this point E.

Notice that <)AEC is greater than 0.

Since <)CAB = <)DCA, <)CAE + <)ACE = 180 degrees.

Hence <)AEC + <)CAE + <)ACE is greater than 180 degrees.

Contradiction. This completes the proof.

Definition

Two Triangles ABC and A'B'C' are congruent if and only if

|AB| = |A'B'|, |AC| = |A'C'|, |BC| = |B'C'| and,

<)ABC = <)A'B'C', <)BCA = <)B'C'A', <)CAB = <)C'A'B'.

4 0

3 years ago

Identify the two tables which represent quadratic relationships

madam [21]

Answer:

Option (4) and Option (5)

Step-by-step explanation:

By calculating the second difference, if the second difference in a table is equal, table will represent the quadratic relationship.

In the given option, we analyze that table given in Option (4) will represent the quadratic relationship.

x y Ist difference $(y_2-y_1)$ IInd difference

0 4 - -

1 -4 -4 - (4) = -8 -

2 -4 -4 - (-4) = 0 0 - (-8) = 8

3 4 4 - (-4) = 8 8 - 0 = 8

Second difference of the terms in y are the same as 8.

Therefore, table of Option (4) represents the quadratic relationship.

Similarly, in Option (5) we will calculate the second difference of y terms.

x y Ist difference IInd difference

0 -4 - -

1 -8 -8 - (-4) = -4 -

2 -10 -10 - (-8) = -2 -2 - (-4) = 2

3 -10 -10 - (-10) = 0 0 - (-2) = 2

Here the second difference is same as 2.

Therefore, table of Option (5) will represent the quadratic relationship.

6 0

3 years ago

If fence poists are to be placed in a row 7 feet apart, how many posts are needed for 210 feet of fence?

ollegr [7]

Answer:

Step-by-step explanation:

210 ft ÷ 7 ft = 30

There are 30 7-ft lengths of fence.

Think of putting a post at the end of each 7-ft length. That means you need 30 posts. Now you must add 1 post for the beginning.

Answer: 31

8 0

2 years ago

Minimize Q=3x2+3y2, where x+y=6.

weeeeeb [17]

Answer:

$+(x + y) {}^{2} = 6 {}^{2} \\ x {}^{2} + 2xy + y {?}^{2} = 36$

$x {}^{2} + y {}^{2} = 36 - 2xy$

$q = 3(x {}^{2} + y {}^{2} )$

$q = 3(36 - 2xy) = 108 - 6xy$

5 0

3 years ago