Answer:
Magnitude: 3√10
Direction angle: 71.56°
Step-by-step explanation:
The magnitude ||v|| of a vector <a,b>, would be:
[tex]||v||=\sqrt{a^{2}+b^{2}[/tex]
[tex]||v||=\sqrt{3^{2}+9^{2}[/tex]
[tex]||v||=\sqrt{9+81}[/tex]
[tex]||v||=\sqrt{90}[/tex]
[tex]||v||=3\sqrt{10}[/tex]
The vector's reference angle would be:
[tex]tan\alpha =|\frac{b}{a}|[/tex]
[tex]tan\alpha =|\frac{9}{3}|[/tex]
[tex]tan\alpha =|3|[/tex]
[tex]tan\alpha =3[/tex]
[tex]\alpha = 71.56[/tex]
If [tex]\alpha[/tex] is your reference angle, then your direction angle ∅ depends on what quadrant the vector is located in. Since <3,9> is located in Quadrant I, then ∅= [tex]\alpha[/tex], which means your direction angle is also 71.56°
Answer:
9.5; 72°
Step-by-step explanation:
Find the equation of the line that passes through (1,3) and is perpendicular to y=2x−1. Leave your answer in the form y=mx+c
Answer:
y = -1/2x + 3.5
Step-by-step explanation:
In order to pass through the point (1, 3), and is perpendicular to y = 2x - 1, then the line must be y = -1/2x + 3.5. Hope this helps!
Describe the transformation from the red figure to the blue figure.
The blue figure is translated ____ units ____ and ____ units ____ from the red figure.
Step-by-step explanation:
The blue figure is translated 2 units down and 6 units across from the red figure.
Write a rule to describe each reflection.
Rule:r() (x,y)=()
Who ever answers this question will get 25 points.
Answer: ok so if it is ok im sorry but like how is it like is there supposed to be a number? im sorryyy i thught i had it before i saw the picture
Step-by-step explanation:
HELP DUE IN 10 MINS!
Given that QUAD is a rectangle, find the values of the variables.
1. x = ?? degrees
2. ° y =?? degrees
3. ° z =?? degrees
Answer:
x= 55°
y=70°
z= 35°
Step-by-step explanation:
.................
Answer:
x = 45°
y = 70°
z = 25°
Hope this helps!
what is 4 /25 in a whole number
Step-by-step explanation:
4/25 cannot be converted into a whole number, it is less than 1
Answer:
decimal = 0.15
whole number (rounded) = 0
Find the measure of the missing angles.
Answer:
Hello!
y = 90
x = 51
Hope that helps!
The ratio of black walnut to red oak trees at a tree farm is 4:5. The tree farm
has 1200 black walnut trees. How many black walnut and red oak trees does
the tree farm have altogether?
Answer:
2700
Step-by-step explanation:
1200/4 = 300
300×5 =1500
1200+1500 = 2700
Which of the following is a counterexample to "the sum of two numbers is always greater than either of the numbers"?
15 + 7
+
-6 + 12
0.05 + 0.5
Answer:
-6 +12
Step-by-step explanation:
hey! please help i’ll give brainliest
Answer:
False.
Step-by-step explanation:
It says Jacob walked to the store to get milk. The use of the word walked means it was past tense. He had already walked to the store.
a parallelogram shaped patio has a rectangular rug in the middle jwhat is the area of the patio around the rug?
Answer:
12" 15"
Step-by-step explanation:
What is the explanation please help me
Answer:
Yes. If the first friend descended 0.11 mile (-0.11) and the second friend descended 0.12 mile (-0.12), then the second friend had to have caught up to the first friend knowing that the second friend descended at least 0.11 mile. Hope this helps :)
Step-by-step explanation:
PLEASE HELP!! WILL GIVE BRAINLIEST IF RIGHT
what is the value of x + y for the system of equations?
y = 2/3x - 9
y= 8 - 2x
Answer:
I got decimals when I graphed but I got (6.25,-4.75)
Step-by-step explanation:
I made a graph and placed the 2 equations in and marked where they intercepted which is (6.25,-4.75)
Find the measurement of BC.
Need help please- and also explanation.
Answer:
Step-by-step explanation:
Use "Law of sines"
[tex]\frac{sin A}{a}[/tex] = [tex]\frac{sin B}{b}[/tex] = [tex]\frac{sin C}{c}[/tex]
10. Given that the areas of the two rectangles are equal, calculate the
value of x. What is the area of each rectangle?
Answer:
Hello! answer: x = 3
each rectangle = 48 Hope that helps!
Ariana has a collection of 100 coins. How many coins represent 10% of her collection?
Answer: 10
Step-by-step explanation:
10% is the same as 10/100
10% would equal 10 (out of the 100) coins
Can someone please answer // Find the central angle given that the measure of the arc is 200°
Answer:
ly/3gVQKw3
Step-by-step explanation:
DON'T PRESS ON THAT LINK PLZ
Find the sine pls help
Answer:
7/25 is correct answer dude
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
:;;;,,,
Step-by-step explanation:
^^^^^^^^^!!~~~
what is the equation for this graph pls help me and pls make sure it’s right:))
Answer:
y = 5x + 4
Step-by-step explanation:
First I found the slope by using the the definition that slope is rise/run so I saw that the y value went up from 4 to 9 which is 5 units and then the x value went up one in that same time. This means that the slope is 5/1. Then I found the y intercept by seeing where x = 0. On the graph you can see the line touches the y - axis at a value of 4 which means that the y - intercept is 4. Plugging these values into the y = mx + b equation you get y = 5x + 4.
Answer:
y = 5x + 4
Step-by-step explanation:
Slope-intercept form uses the formula y = mx + b where m is the slope and b is the y-intercept.
The slope is 5, because from one point to another, you go up 5 and over one (5/1)
So you can substitute the slope into the formula:
y = (5)x + b
The y intercept is 4 because that is where the line crosses the y axis.
So substitute that:
y = (5)x + (4)
y = 5x + 4
ILL BRAINLIEST YOU PLEASE HELP ME
Answer:
1.) 15
2.) 12.5
Step-by-step explanation:
Can anyone help me with this?
Answer:
Link Is A Virus. Do Not Search! Have A Nice Day! Owa Owa! UwU
Step-by-step explanation:
An ambulance travels 120 miles in 1 1/2 hours. plz answer this!!!!
Answer:
80 mph
Step-by-step explanation:
i'll give u a kith pls help
ANSWER:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form:
(−2,−16)
Equation Form:
x= −2, y= −16
Answer:
21 and 13
Step-by-step explanation:
Frank earns an annual salary of $42,800. He pays 8% in total taxes. How much money will Frank pay in taxes each year?
Answer:
$3424
Step-by-step explanation:
42800 x .08
.08 = 8%
Hurry please !! It’s timed...
Find the volume of a cone
Answer:
96π or 301.59 in³
Step-by-step explanation:
V(cone) = 1/3πr²h
= 1/3·π·6²·8
= 96π or 301.59
Answer:
301.58
Step-by-step explanation:
Help it’s due in thirty minutes!!!!
Answer:
-4
Step-by-step explanation:
-5 + ______ = -9
-5 + -4 = -9
Answer:
4
Step-by-step explanation:
-5-(-9)
PLEASE HELP ME SOMEONE !!!!!!!!!!!!! WILL MARK BRIANLIEST !!!!!!!!!!!!!
Answer:The found angle D is:
D = 51.7°
Step-by-step explanation:
A parade route is 3/4 mile long.There will be a Refreshment add the standAlso be eight refreshment stand at the end of the route. How far are the refreshment stands in feet
Answer: 440 ft
Step-by-step explanation:
Given
A parade route is [tex]\frac{3}{4}[/tex] mile long
There are 8 refreshment stand at the end of the route
Suppose there are two refreshment stand, so the route is divided into 3 parts, similarly for three stands, the route is divided into 4 parts
For 8 stands, the route is divided into 9 parts
Distance between two stands is
[tex]\Rightarrow \dfrac{\frac{3}{4}}{9}\\\\\Rightarrow \dfrac{1}{12}\ \text{miles}[/tex]
We know, [tex]1\ \text{mile}\equiv 5280\ ft[/tex]
convert miles to feet
[tex]\Rightarrow \dfrac{1}{12}\times 5280\\\\\Rightarrow 440\ ft[/tex]
On a day, a video was posted online, 5 people watched the video. The next day the number of viewers had doubled. This tend continues each day. Write an equation modeling the views, v, as a function of time. What would be the day when more than 20,000 people will see the video
Answer:
Day 13
Step-by-step explanation:
The question can be represented with a geometric sequence
Where,
a = 5
Common ratio , r = 2
v(t) = a * r^(t - 1)
v(t) = 5 * 2^(t-1)
20,000 = 5 * 2^(t-1)
Divide both sides by 5
20,000 / 5 = 5 * 2^(t-1) / 5
4,000 = 2^(t-1)
2^12 = 2^(t-1)
12 = t - 1
12 + 1 = t
t = 13 days
What would be the day when more than 20,000 people will see the video
Check:
v(t) = 5 * 2^(t-1)
= 5 * 2^(13-1)
= 5 * 2^12
= 5 * 4,096
= 20,480
Therefore,
The day when more than 20,000 people will see the video is day 13