The standard form of an equation with p = 3/2 and phi=300 degrees is; x(√3) + y - 3 = 0
What is the Standard form of the equation?
The standard form of this type pf equation has the general format as;
x(cos Ф) + y(sin Ф) = p
where;
p is perpendicular distance from origin
Ф is the angle between perpendicular and the positive x-axis.
Now, we are given;
p = 3/2
Ф = 30°
Thus, the equation of these given values will be expressed as;
x(cos 30) + y(sin 30) = 3/2
We know, that;
cos 30 = (√3)/2
sin 30 = 1/2
Thus, we have;
x((√3)/2) + y(1/2) = 3/2
Multiply through by 2 to get;
x(√3) + y = 3
⇒ x(√3) + y - 3 = 0
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ANSWER ASAP! NO SCAM LINKS OR REPORTED.
Answer:
d
Step-by-step explanation:
it would be a parabola not linear
Dave bought a rental property for $675,000 cash. One year later, he sold it for $700,000. What was the return on his $675,000 investment? (Negative amount should be indicated by a minus sign. Enter your answer as a percent rounded to 2 decimal places.)
The return on his $675,000 investment is 3.57%.
Given that, Dave bought a rental property for $675,000 cash. One year later, he sold it for $700,000.
We need to find the what was the return on his $675,000 investment.
What is the return on investment?Return on investment or return on costs is a ratio between net income and investment.
Now, return=700,000-675,000=$25000
Return in percentage=25000/700000×100=3.571%
=3.57%
Therefore, the return on his $675,000 investment is 3.57%.
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Two consecutive integers have a product of 12. What is the initial equation that would be used
to solve this?
x² = 12
x(x + 1) = 12
2 (2+2) = 12
x(x − 2) = 12
Answer:
x(x+1) = 12
Step-by-step explanation:
If a number is x then it's consecutive number will be x + 1.
And their product x(x+1)
Which triangles are similar to triangle ABC ?
Answer:
The answer is A
Step-by-step explanation:
Triangle DEF was rotated and dilated so that's why is looks different than triangle ABC, but it maintained the same shape that is presented in ABC and that is why A is the answer.
Estimate 2.21x5.1 i guess need help please I don’t want to fell this class
Answer:
10
Step-by-step explanation:
Im guessing since you have to estimate it then u have to round them up. So if you move both of their points by 2 spaces (divide both by 100) They will be 221x510.
Round them up to 200x500.
That woule be 100 000. Then at the end just dont forget to divide by 10000.
Hope this was helpful
Can someone please help me!!!
Christopher has a garden in the shape of a square with a side length of 24 feet. He plans to plant tomatoes along the
diagonal. How long is the diagonal of Christopher's garden?
A - 48 Ft
B - 24 Ft
C - 24 square root of 2
D - 24 square root of 3
9514 1404 393
Answer:
C - 24 square root of 2
Step-by-step explanation:
In case you haven't memorized the fact that the diagonal of a square is √2 times the side length, you can figure it from the Pythagorean theorem.
d² = s² + s² . . . . square of hypotenuse is sum of squares of sides
d² = 2s²
d = s√2 = (24 ft)√2 = 24√2 ft
40 POINTS !! 40 POINTS !!
PLEASE HELP , DONT SKIP !
NO LINKS OR FILES.
Answer:
Its only 5 point but ok
its $3.44 per quart
Step-by-step explanation:
The average weight of 3 books is
3/gm, one book weighs 3'/«gm
and the second 5/2gm. What is the
weight of the third?
The weight of the third book is approximately 5.33 grams.
How to calculate the valueAccording to the given information:
The average weight of the 3 books is 3 grams.
To find the average weight, we sum up the weights of all the books and divide by the total number of books:
(1/3 + 5/2 + x) / 3 = 3
Now we can solve this equation to find the weight of the third book:
(1/3 + 5/2 + x) = 3 * 3
(1/3 + 5/2 + x) = 9
(1 + 15 + 6x) / 6 = 9
(22 + 6x) / 6 = 9
22 + 6x = 54
6x = 54 - 22
6x = 32
x = 32 / 6
x ≈ 5.33
Therefore, the weight of the third book is approximately 5.33 grams.
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The average weight of 3 books is 3gm, one book weighs 1/3 gm and the second 5/2gm. What is the weight of the third?
Please help me if you can!
Mr Soto bought some dvds each DVD cost 13.55 if Mr Soto did not spend more Thales 75$ which inequality could be used to find d the number of DVDs Mr. Soto bought
Answer:
c
Step-by-step explanation:
C is the only equality that no matter what, the value would be $75 or less
The probability that Ismael makes a basket is 7/10. If he shoots 100 baskets, how many can he expect to make?
Answer:
70 baskets
Step-by-step explanation:
Let b be the number of baskets he will make if he shoots 100 baskets.
[tex]\frac{7}{10} =\frac{b}{100} \\700=10b (now divide by 10 from both sides)\\[/tex]
If y’all could help on this one that would be great, no rush I have a week to turn in just make sure it’s correct and explains it I will give 50 points, thank you :)
ANSWER
-1,-1 is P
-4, -3 is R
-2, -3 is Q
I think this is the answer hope it helps :)
The average commute to work (one way) is 25 minutes according to the 2005 American Community Survey. If we assume that commuting times are normally distributed and that the standard deviation is 6.1 minutes, calculate the probability that a randomly selected commuter spends for the following cases.
1. More than 31 minutes commuting one way.
2. Less than 8 minutes commuting one way.
Answer:
1. 0.1635
2. 0.0026
Step-by-step explanation:
The computation of the probability in the following cases are as follows:
1.
Given that
Mean = 25 minutes
ANd, the standard deviation is 6.1 minutes
So here the z score would be
= (31 - 25) ÷(6.1)
= 0.98
Now the probability is
= P(Z>0.98)
= 0.1635
2. the z score would be
= (8 - 25) ÷(6.1)
= -2.79
Now the probability is
= P(Z<-2.79)
= 0.0026
Please help! What is the volume of the triangular pyramid?
Answer and explanation please! <3
Answer:
30cm3
Step-by-step explanation:
Volume=Base area *height
Base area is a triangle=1/2 *base*height
1/2*3*4=6cm2
Height=5cm
Volume=6*5=30cm3
Answer:
10 m³
Step-by-step explanation:
My apologies for attaching the explanation in a pic, brainly wouldn't let me upload my text answer for some reason.
Solve x2 - 8x - 9 = 0.
Rewrite the equation so that it is of the form
x2 + bx = c.
Answer:
x2-8x=9
Step-by-step explanation:
you move the negative nine to the other side of the equals to become positive
1. What is your daily income if you earn $10.75/h as a camp counsellor and you work
10 hours per day?
A coin bank has 17 coins that contains only dimes and quarters. The coins are worth $3.35. How many of each coin are in the bank?
Answer:7 quarters and 6 dimes
Step-by-step explanation:
please help me i’ll give brainliest
Answer:
105 degrees
Step-by-step explanation:
You need to understand the properties of corresponding angles and supplementary angles.
What is integration of 3x^2
What is the square unit of 6 by 9 square unit what is the area?
Answer:
54 unit ^2
Step-by-step explanation:
Well a formula for a rectangle is a=lw
So 6*9=54
The area is 54
What is the arc measure of PQ?
Answer:
47.1
Step-by-step explanation:
l= rø
or, l= 18 × 5π/6
or, l= 15π
l = 47.1
HELP ME PLEASE TO THIS QUESTION
Answer:
510 miles, 204/3 = 68
68x7.5= 510
There u go :)
Please fill this all im for 20 points! <3 :)
Answer:
Step-by-step explanation:
1) Regular price = $ 20
Reduction = 18% of regular price
= 0.18 * 20
= 3.6
Discount price = 20 - 3.6 = $ 16.4
2) Regular price = $ x
Reduction = 18% of regular price
= 0.18 * x
= 0.18x
Discount price =$ (20 - 0.18x)
3) Discount price = $ 18.45
Let the regular price be x
(100 - 18)% of x = 18.45
82% of x = 18.45
[tex]\frac{82}{100}*x=18.45\\\\ x = 18.45* \frac{100}{82}\\\\ x = 22.50[/tex]
Regular price = $22.50
The four members of the Taylor family each buy an airplane ticket each member I had to pay an extra $30 fee for checking in luggage if the total cost of the trip is 540.50 what is the price of each plane ticket
Answer:
$105.13
Step-by-step explanation:
[540.50 - (4 x 30)]/4 = $105.125
On his last 5 math tests, Gilbert earned: 94, 72, 83, 94, 90. What was his average score? ( Report your answer to the tenths place).
Answer:
Average of Gilbert in last 5 test = 86.6
Step-by-step explanation:
Given:
Score earned by Gilbert in last 5 test = 94, 72, 83, 94, 90
Find:
Average of Gilbert in last 5 test
Computation:
Average value = Sum of all events / Total number of events
Average of Gilbert in last 5 test = Sum of all last results / Number of results
Average of Gilbert in last 5 test = [94 + 72 + 83 + 94 + 90] / 5
Average of Gilbert in last 5 test = [433] / 5
Average of Gilbert in last 5 test = 86.6
A circular pool has a diameter of 24 feet. What is the area of the pool to the nearest tenth
of a square foot?
a) 75.4 square feet
b) 150.8 square feet
c) 452.4 square feet
d) 1,809.6 square feet
Answer:
c) 452.4 square feet
Step-by-step explanation:
HOPE THIS HELPS, MARK AS BRAINLIEST PLEASE NOT THE FILE VIRUS EXPLOITER
Find the value of x.
(a)
(10.7)" = 2
3x92x1 = 27*
(b)
Step-by-step explanation:
where is x in the question
someone please help me answer this!!
Answer:
17 units is the answer
Step-by-step explanation:
Points are (1,9) and (9,-6)
Pythagorean theorem can be written as,
[tex]d=\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} \\\\d=\sqrt{(9-1)^2 + (-6-9)^2}\\\\d=\sqrt{(8)^2+(15)^2} \\\\d=\sqrt{64+225} \\\\d=\sqrt{289} \\\\d=17[/tex]
∴ d = 17 units is the distance between 2 points.
Solve for x. Assume that lines which appear tangent are tangent.
Presumably, x is standing in for the question mark.
The pair of vertical angles (DFE and CFV) shown here both have measure 125°. This angle measure is equal to the average of the measures of the arcs intercepted by the chords CE and DV.
So we have
angle DFE = 1/2 (arc CV + arc DE)
125° = 1/2 (x + 200°)
250° = x + 200°
x = 50°
