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sdas [7]
3 years ago
10

Write the direction cosines of the vector -21-5k​

Mathematics
1 answer:
AlekseyPX3 years ago
6 0

Answer:

a=-2î+j-5k

|a| = √(−2)² +1² + (−5)²

a = √√4+1+25

a = √30

Thus, direction cosines of a are

(- 2/(sqrt(30)), 1/(sqrt(30)), - 5/(sqrt(30)))

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The leaning tower of Pisa currently "leans" at a 4 degree angle and has a vertical height of 55.86 meters. How tall was the lean
Marizza181 [45]

Answer:

56 meters.

Step-by-step explanation:

Please find the attachment.

Let the leaning tower's be h meters tall, when it was originally built.

We can see from our attachment that the side with length 55.86 meters is hypotenuse and h is adjacent side for 4 degree angle.

Since we know that cosine relates the adjacent and hypotenuse of a right triangle.

\text{Cos}=\frac{\text{Adjacent}}{\text{Hypotenuse}}

Upon substituting our given values we will get,

\text{Cos (4)}=\frac{55.86}{h}

h=\frac{55.86}{\text{Cos (4)}}

h=\frac{55.86}{0.99756405026}

h=55.996\approx 56                      

Therefore, the leaning tower was approximately 56 meters, when it was originally built.

6 0
3 years ago
don walked 3 3/5 miles on Friday, 3.7 miles on saturday, and 3 5/8 miles on sunday. list the distances from least to greatest
astraxan [27]

Solution:

we are given that

Don walked 3 3/5 miles on Friday

It can be re-written as

3\frac{3}{5}miles=\frac{18}{5}= 3.6miles

3 5/8 miles on sunday.

It can be re-written as

3\frac{5}{8}miles=\frac{29}{8}= 3.625miles

an d He walk 3.7 miles on satarday.

The distances from least to greatest is  3.6, 3.625, 3.7

or

The distances from least to greatest is  3\frac{3}{5}miles, 3\frac{5}{8}miles, 3.7 miles.

8 0
3 years ago
Please help if know the answers
klio [65]

Answer:

2x-3

x =3 /2

and second one is -y+2

= -2/1

-2

6 0
3 years ago
H e l p (15 points :)
marishachu [46]

Answer:those are your classes and the last one is the classes you completed i think im not really sure tho but yeah, umm byeee

Step-by-step explanation:

3 0
3 years ago
What is the polynomial function of least degree whose only zeros are -3, ,-2, and 4 ?
victus00 [196]

Answer: (x³ - 2x² - 11x + 12)

Step-by-step explanation:

Recall that zeroes can be transformed into factors by subtracting them from x. This gives us the following factors:

(x - 1)(x + 3)(x - 4)

Now, if you multiply the first two factors together, you get the following:

(x² + 2x - 3)

Multiply that by the last factor, (x - 4), and you get this:

(x³ + 2x² - 3x - 4x² - 8x + 12)

This can be simplified:

(x³ - 2x² - 11x + 12)

And there's your final answer. Hope this helped! (x³ - 2x² - 11x + 12)

7 0
3 years ago
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