If the magnitude of vector u is ||u||=7.81 and its angle of direction is 129.81°, which graph represents vector -u?

Answer:

Length of the shadow = 20.5 cm

Step-by-step explanation:

Given the 32-meter height of a tall building, and its casted shadow of 38 meters, we can find the unknown length of the shadow by using the Pythagorean Theorem.

The Pythagorean Theorem states that the squared length of the hypotenuse of a right triangle is equal to the sum of the squared lengths of the legs.

The algebraic representation of the Pythagorean Theorem is:  

                     c² (hypotenuse) = a² (leg₁) + b² (leg₂)

To solve for the given problem:

Let c = 38 m (distance from the top of the building to the tip of the shadow)

a = unknown length of the shadow

b = 32m (height of the building)

Since we have to solve for the value of a (unknown length of the shadow), we must algebraically solve for a:

c² = a² + b²

Subtract b² from both sides:

c² - b² = a²  + b² - b²

a² = c² - b²

Substitute the given values into the formula for solving a :

a² = c² - b²

a² = (38)² - (32)²

a² = 1444 - 1024

a² = 1444 - 1024

Next, take the square root of both sides to solve for a:

[tex]\displaystyle\mathsf{\sqrt{(a)^2}\:=\:\sqrt{420}}[/tex]

a = 20.49 or 20.5 cm

Therefore, the length of the shadow is 20.5 cm.

Answer:

yes

Step-by-step explanation:

yes, they are congruent for the AAS rule ( angle angle side)

Answer:

22.848

Step-by-step explanation:

just type it into a calculator dawg

Answer:

y=3/4x-5.5 this should be your answer

Step-by-step explanation:

sorry of im wrong

have a wonderfull day!

Answer:

2/-45

Step-by-step explanation:

5-1 = 4

4/-90 = 2/-45

Hope that helps

Answer:

meet you at the corner

Step-by-step explanation:

Answer:

tan x = 3/4

Step-by-step explanation:

The hypotenuse of the triangle is 10 ft.

For angle x, the opposite leg is 6 ft, and the adjacent leg is 8 ft.

tan A = opp/adj

tan x = 6 ft / 8 ft

tan x = 3/4

Answer:

y = 2x + 40

Step-by-step explanation:

slope-intercept formula: y = mx + b

x = number of months

y = total cost

slope is 2 and y-intercept is 40

Answer:

7 rides

Step-by-step explanation:

38/5=7 with a remainder of 3. He need 5 tickets to ride so he can only take 7 rides.

Answer:

[tex]x=\cfrac{9}{2}\: or\: x=4.5[/tex]

Step-by-step explanation:

[tex]10x+55 = 100[/tex]

[tex]10x+55-55=100-55[/tex]

[tex]10x=45[/tex]

[tex]\cfrac{10x}{10}=\cfrac{45}{10}[/tex]

[tex]x=\cfrac{9}{2}[/tex]

HOPE IT HELPS!

10x=100-55

10x=45

[tex]x = \frac{45}{10} [/tex]

[tex]x = \frac{9}{2} [/tex]

Answer:

Step-by-step explanation: if its .072

or if it 0.72/345.00

0.00208695652

Answer:

i think the person on top of me is correct :)

Step-by-step explanation:

Answer:

5.00+5.5+5.10+5.15+5.20+5.25= x

x is whatever the cost is.

if you want x, it is.... 31.2

or

y=5.00+5.5+5.10+5.15+5.20+5.25

If you want the equation in linear form (as in y= _x+b), then it is:

y=0.001x

sorry if im wrong! :D

Step-by-step explanation:

Just ask!

Hope this helps... :)

What Pic or Figure Lol

Answer:

z = 56

Step-by-step explanation:

z = 7(8)

Answer:

Step-by-step explanation:

1. 132+0.11

2. Answer is 1200

Entering it in Your Calculator

(132 Divided by 0.11)

= 1200

Answer:

a = 6

b = 3/4

Step-by-step explanation:

They both need to have the same slope.

The slope in the first equation is 6

That means that the second equation must have a = 6

They both need to have the same y intercept

The second equation has a y intercept of 3/4

Therefore b in the first equation, must be 3/4

Answer:

2

Step-by-step explanation:

Answer:

27-9= 18

Step-by-step explanation:

Erin's total shells is 27, her total is 9 more shells than Jamie has. Thus you subtract 9 from 27 to get the number of shells Jamie collected.

Step-by-step explanation:

the reference angle is the smallest angle difference between the defining terminal arm of the angle and the x-axis. it is always positive.

if an angle is smaller than 90°, then it is is own reference angle.

7pi/4 is 1pi/4 (or simply pi/4) short of a full circle (2pi or 8pi/4).

therefore, if is easy to see that this pi/4 is the reference angle (45°).

tan(7pi/4) = -1, while tan(pi/4) = 1.

for every 45° angel in every quadrant the absolute values of sine and cosine are equal.

but in quadrant 1 both, sine and cosine, are positive, while in quadrant 4 sine is negative and cosine is positive.

and since tan = sine/cosine, this gives us the results above.

Answer:

B 5/12

Step-by-step explanation:

Answer:

its b  

Step-by-step explanation:

i just did it

have a nice dayyyyyyyyyyyyyyyy

Answer:

47.25

Step-by-step explanation:

Heres how I found the answer:

if sales tax is 5%, then we need to find 5% of 45 and add it to 45!

5% of 45= 2.25

(I found this by doing 45*5%, or 45*.05)

Now, add 2.25 to 45!

Total bill=47.25 dollars

Hope I could help!

Answer:

Hi it can't be solved because a equation can't have 2 variables

Anaswer Let the height of the tree be  

y

ft. By condition;  

tan

38

=

y

43

or

y

=

43

tan

38

or

y

=

33.6

ft [Ans]

Step-by-step explanation:

Answer:

Step-by-step explanation:

The CORRECT answer is

C. 32.8 feet Got it correct

Answer:

Substitution

Step-by-step explanation:

You would solve this system using the substitution method as one of the variables are define.

In other words y = x + 3 defines y with the expression "x + 3" and we are easily able to substitute this into the other equation for y and solve of x.

Answer:

5 weeks

Step by step

7.80 x 20 = 156

156 x 5 = 780

Answer: B) 5 weeks

Step-by-step explanation: I know your struggling and that's why you need this answer. your welcome cutie.

Answer: D. <Q ≅ <T

Step-by-step explanation:

This satisfies the ASA Congruency Theorem.