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Ipatiy [6.2K]
3 years ago
7

What is the length of the y-component of the vector shown below? A. 77.3 B. 15.0 C. 20.7 D. 21.4

Mathematics
1 answer:
Black_prince [1.1K]3 years ago
6 0

Answer:

y = 20.7

Step-by-step explanation:

Given

The figure above

Required

Calculate the y component

Represent the y component with y, the resultant vector with s and the angle with \theta

The y component of a vector (as it is, in this case) is calculated as thus;

sin\theta = \frac{y}{s}

Where\ \theta = 15\\ s = 80

Substituting these values in the equation

sin\theta = \frac{y}{s} becomes

sin\ 15= \frac{y}{80}

Multiply both sides by 80

80 * sin\ 15= \frac{y}{80} * 80

80 * sin\ 15= y

80 * 0.2588190451= y

20.705523608 = y

y = 20.705523608

y = 20.7 (Approximated)

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Write the 2 digit number that matches the clue
Wittaler [7]
You can figure this out by setting up an equation and make

x= tens digit
y= ones digit

y + 8 =x (tens digit 8 more than ones)

also we know that 

y>0
x>0

since the 10s digit and 1s digit cannot be more than one number, we can say

0 < y > 10
0 < x > 10

since x has to be greater than 0 but less than 10, there is only one number that would fit into the equation for y

2 + 8 = 10
(y cannot equal 2 because than x is equal to 10 and it must be less than)

1 + 8 = 9 
( y can be 1 since x is less than 10)

so it would be 
y= 1
x= 9

the number would be 91

hope this helped!




5 0
3 years ago
if a tree 20 meters tall casts a shadow 30 meters long, what is the angle of elevation from the shadow to the tip of the tree, t
inn [45]

sketch the situation

a trigonometric function that is a relation between the angle of elevation and the 2 sides of the rectangles is the tan

\tan \theta=\frac{opp}{adj}\tan \theta=\frac{20}{30}=\frac{2}{3}

find the inverse

\begin{gathered} \tan ^{-1}(\frac{2}{3})=\theta \\ \theta=33.69º \end{gathered}

after rounding the angle of elevation is 34º.

6 0
1 year ago
Identify the slope (m) and y-intercept (b) of each linear equation.<br> 52. 3x+4y=24
nekit [7.7K]

Answer:

Step-by-step explanation:

  [1]    3x - 4y = -24

  [2]    -x - 16y = -52

Graphic Representation of the Equations :

   -4y + 3x = -24        -16y - x = -52  

 

Solve by Substitution :

// Solve equation [2] for the variable  x

 [2]    x = -16y + 52

// Plug this in for variable  x  in equation [1]

  [1]    3•(-16y+52) - 4y = -24

  [1]     - 52y = -180

// Solve equation [1] for the variable  y

  [1]    52y = 180

  [1]    y = 45/13

// By now we know this much :

   x = -16y+52

   y = 45/13

// Use the  y  value to solve for  x

   x = -16(45/13)+52 = -44/13

Solution :

{x,y} = {-44/13,45/13}

8 0
3 years ago
Can someone help me out here? +brainliest
natali 33 [55]

Answer:

  A) 40

  B) length = 4.275 km; not quite true. See below for explanation.

Step-by-step explanation:

A) Your calculator can tell you the ratio ...

  (national pennies)/(local pennies) = (8×10⁶)/(2×10⁵)

  = (8/2)×10⁶⁻⁵ = 4×10¹ = 40

The national drive collected 40 times as many pennies as the Valley Stream Central goal.

__

B) Multiplying the number of pennies by the diameter of each will tell the length of the line of pennies. That length can be compared to the 5 km distance to determine if the reporter's statement is true. (It is <em>not</em> true.)

  length of string = (length of penny) × (number of pennies)

  = (19×10⁻⁶ km) × (2.25×10⁵) = 42.75×10⁻¹ km = 4.275 km

The length of the pennies laid side-to-side is less than 5.0 km. The reporter's statement is not true.

_____

All scientific and graphing calculators and many 4-function calculators will let you enter numbers in scientific notation.

3 0
3 years ago
One of my factors is equal to 5-2. I am the product 24. What are my other factors?
blsea [12.9K]
5 - 2 = 3

3 x ? = 24
(24 ÷ 3 = 8)
3 x 8 = 24
7 0
3 years ago
Read 2 more answers
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