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3 years ago

PLS HELP IT IS 34 POINTS!!

Mathematics

2 answers:

Dvinal [7]3 years ago

7 0

<h3>Triangle</h3>

The sum of the two sides must be greater than the third side.

Sladkaya [172]3 years ago

3 0

for a triangle, sum of any two sides must be greater than the third side.

also, the difference of two any sides must be less than Third side.

sum of Angles between the sides should be 180°

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A 36-foot-tall tree that is leaning toward the sun casts a 40-foot-long shadow when the sun is at a

stich3 [128]

Answer:

64degrees

Step-by-step explanation:

Give the following

Height of tree H = 36feet

length of the shadow L = 40feeet

Requires

Angle of eleation

Using the SOH CAH TOA identity

Sin theta = opposite/hypotenuse

Sin theta = H/L

Sin theta = 36/40

SIn theta = 0.9

theta = arcsin0.9

theta = 64.16

Hence the required angle is 64degrees

5 0

3 years ago

Compute: 5 ∙ (2 + 3i)

dimulka [17.4K]

Answer:

It will be equal to 40

Step-by-step explanation:

We have to compute $5\times (2+3!)$

Let first find 3 !

For this we have to use factorial concept

So 3! will be equal to 3! = 3×2×1 = 6

Now According to 6+2 = 8

And now after solving bracket we have to multiply with 5

So 5×8 = 40

So after computation $5\times (2+3!)=40$

So the final answer will be 40

4 0

4 years ago

The quadrilateral ABCD on a coordinate plane has the following characteristics.

kirza4 [7]

Answer with explanation:

Property of Quadrilateral A B CD

⇒Equation of Line AD is, y= -3 x.

⇒Equation of Line BC is, y= -3 x +11

Coordinates of CD = C(2,5) and D(-1,3)

Equation of line CD will be

$\frac{y-5}{x-2}=\frac{3-5}{-1-2}\\\\-3 \times (y-5)=-2\times (x-2)\\\\-3 y +15=-2 x +4\\\\2 x -3 y +11=0$

Equation of line AB will be, which is parallel to CD, as opposite sides of parallelogram are parallel and equal,is equal to

2 x -3 y + k=0

Because when lines are parallel their slopes are equal.

→→Equation of line AD is , y= - 3 x.

Coordinates of point A can be calculated by

→2 x -3 × (-3 x ) +k=0

→2 x +9 x +k=0

$\rightarrow x=\frac{-k}{11}\\\\\rightarrow y=\frac{3k}{11}$

→→→Similarly, Coordinate of point D can be calculated by solving these two lines:

y = -3 x + 11

2 x -3 y + k=0

→2 x -3 × (-3 x +11) +k=0

→2 x +9 x -33 +k=0

→11 x =33 -k

$x=\frac{33-k}{11}$

$y=-3 \times \frac{33-k}{11}+11\\\\y=\frac{-99+3 k+121}{11}\\\\y=\frac{22+3 k}{11}$

→→Coordinates of A is $(\frac{-k}{11},\frac{3k}{11})$

Coordinates of Point D is $(\frac{33-k}{11},\frac{22+3k}{11})$ .

you, can get infinite number of ordered pairs, for different value of k.

For, k=0 ,

A= (0,0)

D=(3,2)

3 0

3 years ago

A. Is the statement "Every elementary row operation is reversible" true or false? Explain.

Tatiana [17]

Answer:

This statement is "TRUE".

Step-by-step explanation:

Every elementary row operation is reversible. You can get the reverse answer by multiplying by a constant or by multiplying by its inverse. You can add one row to another row and subtract row 1 from row 2 to get it back.

3 0

3 years ago

Determine whether each statement is true or false. If a statement is true, give a reason or cite an appropriate statement from t

Over [174]

Answer:

1) a. False, adding a multiple of one column to another does not change the value of the determinant.

2) d. True, column-equivalent matrices are matrices that can be obtained from each other by performing elementary column operations on the other.

Step-by-step explanation:

1) If the multiple of one column of a matrix A is added to another to form matrix B then we get: |A| = |B|. Here, the value of the determinant does not change. The correct option is A

a. False, adding a multiple of one column to another does not change the value of the determinant.

2) Two matrices can be column-equivalent when one matrix is changed to the other using a sequence of elementary column operations. Correc option is d.

d. True, column-equivalent matrices are matrices that can be obtained from each other by performing elementary column operations on the other.

3 0

3 years ago