Answer:
y=5/4x
Step-by-step explanation:
(A fraction)
A vector is in standard position, with its terminal point in the second quadrant and an x-coordinate of –5. The vector has a magnitude of StartRoot 61 EndRoot.Complete the statements describing the vector. The y-coordinate of the vector to the nearest tenth is . The direction angle to the nearest whole number is °.
a.
The y-coordinate of the vector with its terminal point in the second quadrant is 6.
The magnitude of the vector, r = √(x² + y²) where x = x-coorcinate of vector = -5 and y = y-coordinate of vector.
Since r = √61 and r = √(x² + y²)
Making y subject of the formula, we have
y = √(r² - x²)
Substituting the values of the variables into the equation, we have
y = √((√61)² - (-5)²)
y = √(61 - 25)
y = ±√36
y = ±6
Since r is in the second quadrant, its y-coordinate is positive.
So, y = 6
So, the y-coordinate of the vector with its terminal point in the second quadrant is 6.
b.
The direction angle of the vector with its terminal point in the second quadrant is 130°
The direction angle of the vector is gotten from tanФ = y/x
Subsstituting x and y into the equation, we have
tanФ = y/x
tanФ = 6/-5
tanФ = -1.2
tan(180° - Ф) = 1.2
Taking inverse tan of both sides, we have
180° - Ф = tan⁻¹(1.2)
180° - Ф = 50.2°
Ф = 180° - 50.2°
Ф = 129.8°
Ф ≅ 130° to the neares whole number
The direction angle of the vector with its terminal point in the second quadrant is 130°.
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Answer:
first one is 6.0 and the second is 130
Step-by-step explanation:
Simplify the expression: 5+2a - (9+a)
Answer:
a - 4
Step-by-step explanation:
[tex]5+2a-(9+a)\\5+2a-9-a\\a-4[/tex]
A line is defined by the equation 2x + y = 4. Which shows the graph of this line?
Edge
Gina records the daily change in the share price, p, of a stock every d days. In the table below p is measured in cents.
What is the average daily change in the share price from d = 5 to d = 20?
243/15
11
-15/243
33
From the table, the average daily change in the share price from d = 5 to d = 20 is of 11.
The average rate of change of a function p(x) over an interval [a,b] is given by:
[tex]A = \frac{p(b) - p(a)}{b - a}[/tex]
In this problem, rate over the interval d = 5 to d = 20, hence [tex]a = 5, b = 20[/tex].
The values of the function are [tex]p(5) = 39, p(20) = 204[/tex].
Hence:
[tex]A = \frac{p(b) - p(a)}{b - a}[/tex]
[tex]A = \frac{204 - 39}{20 - 5}[/tex]
[tex]A = 11[/tex]
The average daily change in the share price from d = 5 to d = 20 is of 11.
A similar problem is given at https://brainly.com/question/20732437
URGENT HELP!! Will is making cookies for the house parade party. He uses 6 cups of flour for every 4 cups of Sugar. Will says he uses 1.5 cups of flour for every 1 cup of sugar. His friend Finn said that Will used 2/3 cups Sugar for every cup of flour. Who is correct? Explain.
A hardware store owner placed an advertisement for Sylvania LED bulbs in the local newspaper. Sylvania provided the storeowner with several high-quality, camera-ready sample advertisements. In addition to supplying the advertising formats, Sylvania also paid 50 percent of the cost to place the ad in the paper. Sylvania was using ________ to promote its products. manufacturer incentive advertising strategic channel partnership reseller consumer promotion retail publicity cooperative advertising
Answer: Cooperative advertising
Step-by-step explanation:
Assume that lines which appear to be tangent are tangent.
Find the value of the?
Answer:
12
Step-by-step explanation:
Assume that lines which appear to be tangent are tangent.
Therefor this is a right triangle.
Use the pythagorean theorem
c^2 = a^2 + b^2
15^2 = ?^2 + 9^2
225 = ?^2 + 81
subtract 81 from both sides
144 = ?^2
Take the square root of both sides
12 = ?
9514 1404 393
Answer:
? = 12
Step-by-step explanation:
The tangent makes a right angle with the radius at the point of tangency. That means the Pythagorean theorem can be used to find the missing length.
?² +9² = 12²
?² = 225 -81 = 144
? = √144 = 12
The value of ? is 12.
__
Additional comment
When you see a right triangle with the ratio of hypotenuse to leg of 15:9 = 5:3, you know immediately that it is a multiple of a 3:4:5 right triangle. Here, the scale factor is 3, so the missing side is 3×4 = 12.
what is the answer ?????
Answer:
20%=20/100
=2/10
=1/5
35%=35/100
=0.35
A floor is covered by 800 tiles measuring 10cm^2. How many square tiles of side 8cm would be needed to cover the same floor
Answer:
125 square tiles
Step-by-step explanation:
(800*10)/8^2=8000/64=125
If a box has a volume of 456 cubic inches, with the length of 1 foot and a height of 4 inches, what is the width of the box?
Pleeeeeeeeeeeeeeeeeaaaaaaaaaaaaaaaaase help
Answer:IT IS 170
Step-by-step explanation:
PLEASE HELP i will give brainliest no links
Answer:
y=5x
Step-by-step explanation:
y=ax
use any value of x and y from the table
I chose (2,10)
10=2a
10/2=a
a=5
8b–9b–5b+7b
Simplify the expression:
Answer:
b, or 1b
Step-by-step explanation:
First of all, you have to combine like terms. In this situation though, they are all b. So start at the beginning. 8-9 is -1. -1 - 5 is -6. -6+7 is 1. So you say, b, because it is the same thing as 1 b.
4x+5y=20 need help solving x and y intercept plotting
Answer:
(Hope this helps can I pls have brainlist (crown)☺️)
Step-by-step explanation:
To find the x-intercept, substitute in 0 for y and solve for x To find the y-intercept, substitute in 0 for x and solve for y.
Slope: [tex]m=-\frac{4}{5}[/tex]
x-intercept(s): ( 5 , 0 )
y-intercept(s): ( 0 , 4 )
can you plz help me....
Answer:
what is that ............
suppose that a flu virus spreads according to the
Put these in least to greatest
1/3,-3,3,0
Answer:
-3 , 0 , 1/3 , 3
Step-by-step explanation:
1/3= 0.3333
(REPOST) STATION 3 ! 40 POINTS
Answer:
Great valley
Mercury
Liberty
Delta
International
Step-by-step explanation:
Liberty Express: 128.333
Mercury speed: 130
International speed: 122.666666
Delta Eagle speed: 125
Great Vally speed: 130.5
distance/time=speed
Order:
Great valley
Mercury
Liberty
Delta
International
i will mark brainliest!!!!!!
Answer:
k=10x+6
Step-by-step explanation:
64 is equal to 2^6, so we just have 2^6*4^5k
4^5x is equal to 2^10x and we have 2^6*2^10x=2^k
Apply exponent multiplication rule : a^m*a^n=a^m+n
We get 2^10x+6, so 10x+6 is our answer
In \triangle HIJ,△HIJ, \overline{HI}\cong \overline{JH} HI ≅ JH and \text{m}\angle J = 13^{\circ}.m∠J=13 ∘ . Find \text{m}\angle I.m∠I.
Answer:
13
Step-by-step explanation:
two angles are congrunet
The measurement of angle I in the given triangle HIJ is 83.5°.
Given is a triangle HIJ, where HI ≅ JH, and m ∠J = 13°, we need to find m ∠I.
Since HI ≅ JH (given) and ∠J = 13° (given), then ∠HJI ≅ ∠HIJ (by the isosceles triangle property).
In an isosceles triangle, the angles opposite the congruent sides are also congruent. Therefore, ∠HJI = ∠HIJ.
Now, let's denote ∠I as x (which is what we're trying to find). Since ∠HJI = ∠HIJ, we can set up an equation:
x + 13° + x = 180° (sum of angles in a triangle)
Solving for x:
2x + 13° = 180°
2x = 180° - 13°
2x = 167°
x = 167° / 2
x = 83.5°
So, m ∠I is 83.5°.
Learn more about isosceles triangle click;
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#SPJ3
Complete question is given below:
In △HIJ, HI ≅ JH and m∠J = 13°. Find m ∠I.
Find the lowest common multiple of 36
and 72
Which answer correctly describes the transformation from the preimage to the
image?
a translation 10 units left and 8 units down
a reflection over the x-axis
a translation 10 units right and 8 units up
a rotation of 180°
a reflection over the y-axis
Translation of 10 units left and 8 units down
================================================
Explanation:
Always start with the preimage. Let's say we focus on point A located at (3,6). Its corresponding point is A' located at (-7,-2). To go from (3,6) to (-7,-2), we move 10 units to the left and 8 units down.
The motion "10 units to the left" means we subtract 10 from the x coordinate. The "8 units down" part means we subtract 8 from the y coordinate.
Overall, the translation rule is [tex](x,y) \to (x-10,y-8)[/tex]
If we applied that rule to A(3,6), then...
[tex](x,y) \to (x-10,y-8)\\\\(3,6) \to (3-10,6-8)\\\\(3,6) \to (-7,-2)\\\\[/tex]
which is what the diagram shows going from A to A'
Let's do the same for point B(3,1)
[tex](x,y) \to (x-10,y-8)\\\\(3,1) \to (3-10,1-8)\\\\(3,1) \to (-7,-7)\\\\[/tex]
This indicates B(3,1) moves to B ' (-7,-7) which is what the diagram shows. I'll let you confirm that C(6,6) moves to C ' (-4,-2) using that translation rule.
Evaluate 36 = (x + 9) when x
=
3.
o
A. 3
B. 12
C. 4.
D. 21
SUB
Answer:
3
Step-by-step explanation:
36 ÷ (x + 9)
=> 36 ÷ (3 + 9)
=> 36 ÷ 12
=> 3
Therefore, 3 is the answer.
help me please with math prob
Answer:
box number 2 is 2. box number 3 is 7. box number 1 is product or sum
x-4-2=-11
i need help on this asap
Answer:
X = -5
Step-by-step explanation:
X-4-2=-11
X-6=-11
X=-11+6
X=-5
Hope it helped youuuuu
What is the y intersect. Pls help
Answer:
total shipping cost
Step-by-step explanation:
Help!?! I have no clue how to solve it :/
а
Find the length of side x in simplest radical form with a rational denominator.
\30
X
60°
3
Answer:3√3
Step-by-step explanation:
tanx=opp/adj
tan60=x/3
make x the subject: 3 × tan60= x
x= 3√3 or 5.196 in decimals
anyone ?????????????
Answer:
g(4) = 8
g(6) = 12
Step-by-step explanation:
come on dude, easier than that?
Translate the sentence into an equation.
Twice the difference of a number and 8 equals 5.
Use the variable b for the unknown number.
Answer:
it's simple it means
2×b-8=5
Answer:
b = 10.5
Step-by-step explanation:
The difference of b and 8 is b - 8 and twice this difference is
2(b - 8) = 5 ← distribute parenthesis on left side
2b - 16 = 5 ( add 16 to both sides )
2b = 21 ( divide both sides by 2 )
b = 10.5
The unknown number b is 10.5