Michael sold his house for $548,900, which was 160% of the amount he paid for it. Calculate the amount he paid for the property.
a large bag of cashews weighs 8 1/3 pounds one serving is 1/3 pound how many servings are in the bag
What is 129,543 rounded to the nearest ten thousand
[tex] \frac{dx}{dt} = \frac{t^{2}+3tx+ x^{2} }{ t^{2} } [/tex]
Caroline bought 20 shares of stock at 10 ½, and after 10 months the value of the stocks was 11 ¼. If Caroline were to sell all her shares of this stock, how much profit would she make? A. $210 B. $10 C. $15 D. $225
Complete each statement regarding an angle θ and its reference angle theta hat using radian measure. (Assume 0 ≤ θ < 2π. Give your answers in terms of θ.) (a) If θ is in QI, then theta hat = . (b) If θ is in QII, then theta hat = . (c) If θ is in QIII, then theta hat = . (d) If θ is in QIV, then theta hat = .
The reference angle is simply the acute angle between the terminal side and the x-axis
The terminal angles in the four quadrants are
[tex]\bar \theta = \theta[/tex].[tex]\bar \theta = \pi - \theta[/tex].[tex]\bar \theta = \theta - \pi[/tex].[tex]\bar \theta = 2\pi - \theta[/tex]The given parameters are:
[tex]\theta \to[/tex] reference angle
[tex]\bar \theta \to[/tex] terminal angle
(a) If the reference angle is in the first quadrant
In the first quadrant, the x-axis is at [tex]0\ rad[/tex]
So, the terminal angle is:
[tex]\bar \theta = \theta - 0[/tex]
[tex]\bar \theta = \theta[/tex]
(b) If the reference angle is in the second quadrant
In the second quadrant, the x-axis is at [tex]\pi \ rad[/tex],
While the reference angle is between [tex]\frac{\pi}{2}[/tex] and [tex]\pi \ rad[/tex]
It means that, we have to subtract the reference angle from the x-axis
So, the terminal angle is:
[tex]\bar \theta = \pi - \theta[/tex]
(c) If the reference angle is in the third quadrant
Here, the x-axis is still at [tex]\pi \ rad[/tex],
But the reference angle is between [tex]\pi \ rad[/tex] and [tex]\frac{3}{2}\pi[/tex]
It means that, we have to subtract the x-axis from the reference angle.
So, the terminal angle is:
[tex]\bar \theta = \theta - \pi[/tex]
(d) If the reference angle is in the fourth quadrant
Here, the x-axis is at [tex]2\pi \ rad[/tex]
And the reference angle is between [tex]\frac{3}{2}\pi[/tex] and [tex]2\pi \ rad[/tex]
It means that, we have to subtract the reference angle from the x-axis.
So, the terminal angle is:
[tex]\bar \theta = 2\pi - \theta[/tex]
See attachment for illustration of terminal angles
Read more about terminal angles at:
https://brainly.com/question/12891381
Final answer:
When dealing with angles in radians and their reference angles, each quadrant has a specific relationship for determining the reference angle based on the given angle θ.
Explanation:
Radian Measure with Reference Angles:
If θ is in QI, then θ hat = θ
If θ is in QII, then θ hat = π - θ
If θ is in QIII, then θ hat = θ - π
If θ is in QIV, then θ hat = 2π - θ
family drinks 1 3/4 gallons of milk every 4 1/2 days what is the unit rate of milk per day
How much greater is the area of a square with a side length of 9 inches than the area of a circle with a radius of 3 inches?
Find the simple interest. Principal $200 rate 13% time 33 months. The interest is $ nothing. (Round to the nearest cent.)
how many times can 36 go into 300
"how many terms are there in the algebraic expression""
Algebra help me please ILL MARK BRAINIEST
A section of a roller coaster track forms a parallelogram ABCD. If m∠ABC = 72°, what is m∠DAB? A) 72° B) 108° C) 144° D) 216°
Answer: Option 'B' is correct.
Step-by-step explanation:
Since we have given that
A section of a roller coaster track forms a parallelogram ABCD.
If m∠ABC = 72°
We need to find the m∠DAB,
Since ABCD is a parallelogram .
So, "Sum of interior angles on the same side is supplementary":
[tex]m\angle ABC+m\angle DAB=180\textdegree\\\\72\textdegree+m\angle DAB=180\textdegree\\\\m\angle DAB=180\textdegree-72\textdegree\\\\m\angle DAB=108\textdegree[/tex]
Hence, Option 'B' is correct.
A driveway is 40 yards long. About how many meters long is it? Round to the nearest hundredth
Two right triangles are congruent. Find the value of x.
right triangle with angle of 33 degrees, right triangle with angle of 9 x minus 15 degrees
Select one:
a. 5
b. 6
c. 8
d. 12
A car is driving at the speed of 58 km/h.How much time will it take to drive for distance 32 miles?
Outlet malls sell goods _____
1. at a discount
2. add all the items together at their sales cost then add salves tax
3. $26.75
4. $66.23
Evaluate the dot product a⃗ ⋅b⃗ of a⃗ =3i^−8j^ and b⃗ =−2i^−6j^.
The dot product of vectors a⃗ =3i^−8j^ and b⃗ =−2i^−6j^ is calculated by multiplying the corresponding components of the vectors and summing the results, giving a final dot product of 42.
Explanation:The dot product of two vectors a and b is calculated by multiplying the corresponding components of the vectors and summing the results. So, given the vectors a⃗ =3i^−8j^ and b⃗ =−2i^−6j^, the dot product can be found as follows:
a⃗ ⋅b⃗ = (a_x * b_x) + (a_y * b_y)
Therefore, substituting the known values: a⃗ ⋅b⃗ = (3 * -2) + (-8 * -6) = -6 + 48 = 42
So, the dot product a⃗ ⋅b⃗ for vectors a⃗ =3i^−8j^ and b⃗ =−2i^−6j^ is equal to 42.
Learn more about Dot Product here:https://brainly.com/question/12765322
#SPJ3
Solve the absolute value equation. |x| = –45
What percent is 6 out of 30? 2% 6% 20% 30%
on a certain day the temperature in Seattle was -1 degrees C and the temperature in the Hudson was 18 degrees C is how many degrees lower was the temperature in Seattle
The temperature in Seattle was 19 degrees lower than in the Hudson.
we subtract the temperature of Seattle from the temperature of the Hudson:
18°C - (-1°C) = 19°C
Therefore, the temperature in Seattle was 19 degrees lower than the temperature in the Hudson.
45+5/6x=50
need to find x and math for x
The solution of expression is, x = 6
We have to give that,
An expression to simplify as,
⇒ 45 + 5/6x = 50
Now, Simplify the expression by combining like terms,
⇒ 45 + 5/6x = 50
Subtract 45 on both sides,
⇒ 45 + 5/6x - 45 = 50 - 45
⇒ 5/6x = 5
Multiply by 6 on both sides,
⇒ 5x = 5 × 6
⇒ 5x = 30
Divide by 5 on both sides,
⇒ x = 30/5
⇒ x = 6
So, The solution is, x = 6
To learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ6
Reina and Sam are multiplying (84)5 (73)9. Reina's Work Sam's Work (84)5 (73)9 = 84 + 573 + 9 = 89712 (84)5 (73)9 = 84⋅573⋅9 = 820727 Is either of them correct? Explain your reasoning.
What are the quotient and remainder when
a.19 is divided by 7?
b.−111 is divided by 11?
A scuba diver swimming at the Deppe shown, and then swim 0.5 feet toward the surface every three seconds. What is the location of the scuba diver, relative to the surface, after 15 seconds?
y=-2/5x+4 in standard form
there are 3/4 of a pizza left over from last night how many 1/8 portions are there
anyone help me please!
A stereo listed for $350 is on sale for 20% off the list price. The sales tax is 6%. What total price does a customer pay for the stereo if she/he buys it on sale?
1 $324.00
2 $259.00
3 $262.20
4 $296.80
5 $301.00
A person who is 6ft tall walks away from a streetlight. When the person is 15 feet away from the light, the tip of his shadow is 5 feet in front of him. Find the height of the streetlight
F=J+Jrt solve following formula for t
To solve the formula F=J+Jrt for 't', first, subtract 'J' from both sides to get F-J=Jrt. Then, divide both sides by 'Jr', for the final equation for 't' = (F-J)/Jr.
Explanation:This physics-related mathematics question is asking you to solve the given formula F=J+Jrt for 't'. To isolate 't', we first want to eliminate 'J' from the right side. We do this by subtracting 'J' from both sides of the equation. This gives us F-J=Jrt.
Then, we divide both sides by 'Jr'. When we do this, we are left with t=(F-J)/Jr as the rearranged formula with 't' as the subject. This results in 't' being isolated in the equation, which answers the student's question.
Learn more about Rearranging Equationshttps://brainly.com/question/31854578?referrer=searchResults
#SPJ2