9514 1404 393
Answer:
cot(θ) = 4/5
Step-by-step explanation:
In the polar/rectangular coordinate representation (x, y) ⇔ (r; θ), we know that ...
(x, y) = (r·cos(θ), r·sin(θ))
From the various trig definitions and identities, we also know that ...
cot(θ) = cos(θ)/sin(θ) = (x/r)/(y/r) = x/y
For the given (x, y) = (-4, -5), the cotangent is ...
cot(θ) = -4/-5 = 4/5
PLEAES HELP 80 POINTS with branily I really need help and I will be forever in det to the person that helped me Bec this Is 40% of my grade And please don't steal my points I need them in doing a give away soon. :)
On the coordinate plane shown below, points
G and I have coordinates (6,4) and (3,2) , respectively.
1)Design a strategy in which the Pythagorean theorem is used to calculate the straight line distance between points
G and I
2) on a coordinate plane. Use complete sentences to describe the strategy.
Use the Pythagorean theorem to determine the distance between the two points on the coordinate plane. In your final answer, include all of your calculations.
Use the distance formula and the coordinates of points
G and I
3) to prove that the Pythagorean theorem is an alternative method for calculating the distance between points on a coordinate plane. In your final answer, include all of your calculations.
Answer:
sorry wanted pionts
Step-by-step explanation:
umm sorry
Answer: :Given : points G and I have coordinates (6,4) and (3,2)
To Find : Use Pythagorean theorem to calculate the straight line distance between points G and I
Solution:
points G and I have coordinates (6,4) and (3,2)
Draw a line parallel to y axis passing through G
Draw a line parallel to x axis passing through I
Intersection point K ( 6 , 2)
IK = 6 - 3 = 3
GK = 4 -2 = 2
ΔIKG right angled triangle
Pythagoras' theorem: square on the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two perpendicular sides.
GI² = IK² + GK²
=> GI² = 3² + 2²
=> GI² = 13
=> GI = √13
using distance formula
G (6,4) and I (3,2)
= √(6 - 3)² + (4 - 2)²
= √3² + 2²
= √9 + 4
= √13
Learn More:
different approaches of Pythagoras theorem - Brainly.in
brainly.in/question/10516214
13. In Fig. 16.10, BCDE is a rectangle , ED = 3.88 cm,AD= 10 cm ...
brainly.in/question/19749562
What is the consequence of L'hopital's Rule?
Answer:
So, L'Hospital's Rule tells us that if we have an indeterminate form 0/0 or ∞/∞ all we need to do is differentiate the numerator and differentiate the denominator and then take the limit. (Brainliest? :3)
Step-by-step explanation:
The area of an ellipse with axes of length
2a and 2b is ab.
The percent change in the area when a increases by
2.74% and b increases by 2.65% is
Answer:
The area increases by 5.46261%
Step-by-step explanation:
Well firstly, the area of an ellipse is not ab, but it's proportional to ab ([tex]\pi ab[/tex] where a and b are the semi-minor and semi-major axes).
This tells us that when a increases by 2.74% and b increases by 2.65% the new area will be:
[tex]A = \pi \cdot (a \cdot 102.74\%)(b \cdot 102.65\%) = \pi a b \cdot 102.74\% \cdot 102.65\% = \pi ab \cdot 105.46261\%[/tex]
The percentage change in area of the ellipse is 5.5%
The area of an ellipse with an axes of length of 2a and 2b is πab.
Area of ellipse = πab
Since a increases by 2.74%, hence a = (100% + 2.74%)a = 1.0274a
Also, b increases by 2.65%, hence b = (100% + 2.65%)b = 1.0265b
Therefore the new area = π * 1.0274a * 1.0265b = 1.055πab
The ratio in the area = 1.055πab/ πab = 1.055
The percentage change in area of the ellipse is 5.5%
Find out more at: https://brainly.com/question/8777183
What is the area of the triangle?
Answer:
height ×base divided by two
a certain vehicle can drive 300miles on a tank of 20 gallons. how far can it drive on 30 gallons?
what is the answer in miles ??
PLEASE HELP ME !!!!
Answer:
450 miles
Step-by-step explanation:
First you calculate miles per gallon, which you do by dividing 300/20. This gives us 15. So you can go 14 miles on one gallon.
From there you multiply 15 by 30, since you'll be driving 30 miles. This gives us 450 miles.
Step-by-step explanation:
[tex] \frac{300}{x} \times \frac{20}{30} = \frac{20x}{20} \frac{9000}{20} x = 450miles[/tex]
As Mercury revolves around the sun, it travels at a rate of approximately miles per second. Convert this rate to kilometers per second. At this rate, how many kilometers will Mercury travel in seconds? In your computations, assume that mile is equal to kilometers. Do not round your answers.
Answer:
Step-by-step explanation:
There are a lot of conversion factors involved in this question.
First of all the radius of Mercury's orbit is 0.4 times that of the earth. The earth's distance from the sun is about 93 million miles. So Mercury's distance or radius is 93 * 0.4 = 37.2 million miles.
The circumference = 2 * pi * r
The circumference = 6.28 * 37200000 = 233616000 miles
This is accomplished in 88 days.
88 days [24 hours/day] * [3600 sec / hour] = 7603200 seconds
88 days = 7603200 second
Rate of travel = miles / second
Rate of travel = 233616000 / 7603200
Rate of travel = 30.726 miles / second
This number was not given so I had to derive it. The official number does not disagree a great deal from this number. It just depends on what constants you use.
1 mile = 1.6 km
30.725 miles = x Cross multiply
x = 1.6 * 30.725
x = 49.16 km/ second
I cannot go any further because you have not provided any givens. The answers do vary quite a bit because I have assumed that Mercury's orbit is a circle. It really is not. It is more like an ellipse.
The official speed in km/sec = 47 which means the answer I have given is very close. A more accurate answer would require that you put the numbers in the blanks that you were given.
5 Bill's trail mix has 6 cups of walnuts
and 10 cups of cranberries. Using
the same recipe, how many cups
of walnuts go with 15 cups of
cranberries?
Answer:
Umm, I will do my best to comment on this. I feel so bad for all the people that I hit answer and I don´t know it. =( !
Answer:
25.5
Step-by-step explanation:
10÷6=1.7
1.7x15=25.5
Pls HELP!!! Answer accurately... this should be very easy,
Answer:
85
Step-by-step explanation:
He has 170 correct answers, so 170 * 0.5 = 85 points #0.5 points per 1 question
Simplify the expression and write your answer as a power
10
Answer:
10^88
Step-by-step explanation:
You have to multiply the exponents since they are in parenthesis.
Good Luck!
Answer:
The answer is C. 10^88
Step-by-step explanation
Whenever you have an exponent written like this, you must multiply the 8 and 11. Which will give you 10^88. I hope this has helped you! :3 Sorry if it is incorrect.
Liam invests $5,000 in an account that pays 2.5% compound interest annually. He uses the expression P(1+r)t to find the total value of the account after t years. What will be the total value of the account after 3 years?
Answer:
The final balance is $5,389.
The total compound interest is $389.
Step-by-step explanation:
Dilate the figure by the scale factor. Then enter the new coordinates. K=2
A([]),([])
B([]),([])
C([]),([])
(-3,2),(1,1)(-1,-1)
Answer:
A = (-6, 4)
B = (2,2)
C = (-2, 2)
Step-by-step explanation:
If a coordinate (x, y) is dilated by a factor of k, the resulting coordinate will be expressed as (kx, ky). Note that each coordinate is multiplied by the scale factor
Given the coordinates (-3,2),(1,1)(-1,-1), if they are dilated by a factor of 2, the resulting coordinate will be;
A = (2(-3), 2(2)) = (-6, 4)
B = (2(1),2(1)) =(2,2)
C = (2(-1), 2(-1)) = (-2, 2)
Please please help no scams please
Answer:
between 6 and 7
Step-by-step explanation:
√39 = 6.244... which is between 6 and 7
also, you do not need a calculator if you know that the sq. rt. of 36 is 6 and the sq. rt. of 49 is 7. 39 is between 36 and 49.
Maths URGENT! I need answer rn
Answer:
8a-8c+6b
Step-by-step explanation:
3a-(-2c-5a)+6b-10c
3a+2c+5a+6b-10c
(3a+5a)+(2c-10c)+6b
8a-8c+6b
Consider the following time series data. Week 1 2 3 4 5 6 Value 18 12 15 10 18 14 Using the naive method (most recent value) as the forecast for the next week, compute the following measures of forecast accuracy. (a) mean absolute error MAE = (b) mean squared error MSE = (c) mean absolute percentage error (Round your answer to two decimal places.) MAPE = % (d) What is the forecast for week 7?
Answer:
(a) MAE = 5.20
(b) MSE = 10
(c) MAPE = 38.60%
(d) Forecast for week 7 = 14
Step-by-step explanation:
Note: See the attached excel for the calculations of the Error, Error^2, and Error %.
(a) mean absolute error
MAE = Total of absolute value of error / Number of observations considered = |Error| / 5 = 26 / 5 = 5.20
(b) mean squared error
MSE = Total of Error^2 / Number of observations considered = Error^2 / 5 = 150 / 5 = 10
(c) mean absolute percentage error (Round your answer to two decimal places.)
MAPE = Total of Error % / Number of observations considered = Error % / 5 = 193.02 / 5 = 38.60%
(d) What is the forecast for week 7?
Since the forecast is based on the naive method (most recent value), the forecast for week 7 is value for week 6. Therefore, we have:
Forecast for week 7 = 14
Find the area of the triangle
Answer:
[tex] \frac{4 \times 5}{2} = 10[/tex]
184 is what percent more than 148
3) Divide x3 + 4x2 – 3x – 12 by (x + 4)
Answer:
Factor the numerator and denominator and cancel out the common factors.
x ^2 − 3 is your final answer.
Step-by-step explanation:
Hope that this helps you out! :)
If you have any questions please put them in the comment section below this answer.
Have a great rest of your day/night!
Please thank me on my profile if this answer has helped you.
Solve each equation 24 = 5k - 8k
Answer:
k = -8
Step-by-step explanation:
24 = 5k - 8k
24 = -3k
k = 24/(-3)
k = -8
Answer:
k = -8
Step-by-step explanation:
Solve for k
First we re arrange our equation so that it look simple to calculate.
24=5k-8k
5k-8k = 24
-3k = 24
Divide -3 both side to get the value of k
k = -8
To prove substitute k into formula:
5k-8k = 24
5 (-8) - 8 (-8) = 24
-40 + 64 = 24
24 = 24
Which value is NOT equivalent to the others
PLS HELP :(
Answer:
Its 3 on top of 4
Answer:
The top right one
Step-by-step explanation:
4x4(2)
Respond Quick PLZ help me out determines if I fail
Answer:
1. infinite many solutions
2. With solution: x+y=7 ,2x+y=6
Without solution: x+y=8 ,x+y=9
Infinite solution: x+y=3, 2x+2y=6
Step-by-step explanation:
By the way, can you follow me?
Thanks!
2.) What is another way to write 700,562? Select all the ways to write this number, A) (7 +100,000) + (5+ 1,000) + (6 +10) + (2 +1) B) seven hundred thousand, five hundred sixty-two C) 700,000 +500 + 60 + 2 D) 7 hundred thousands +5 hundreds +62 tens. E) 7 hundred thousands +5 thousands + 6 tens + 2 ones
Answer:
b,c
Step-by-step explanation:
b is written in the written form properly and is is extended using the right place values
A figure is shown.
8x
7x
44.4°
What is the measure, in degrees, of the highlighted angle?
We know that the sum of a straight line is 180° . So here there are 3 angles in a straight line . And the sum is 180° . So that ,
[tex]\tt\to Sum_{(angles \ of \ a \ straight \ line)}= 180^o \\\\\tt \to 7x + 8x + 44.4^o = 180^o \\\\\tt\to 15x = 180^o - 44.4^o \\\\\tt\to 15x = 135.6^o \\\\\tt\to x =\dfrac{135.6^o}{15}\\\\\tt\to \boxed{\orange{\tt x = 9.04^{\circ} \approx 9^{\circ} }}[/tex]
So the measure of angle that is highlighted will be 8x = 8(9) = 72°
Answer:
72.32degrees
x is 9.04
Step-by-step explanation:
7×9.04=63.28
8×9.04=72.32
44.4+63.28+72.32=180
Becicy is renting a car for her vacation. The rental costs 5350 per week plus 20 cents per mile. If Becky can spend no more than $500,
how far can she travel
Answer:
750 miles
Step-by-step explanation:
Given that,
The rental costs 350 per week plus 20 cents per mile.
Becky can spend no more than $500.
Let he travel x miles. We can form an equation as follows :
350 + 0.2x = 500
0.2x = 500-350
0.2x = 150
x = 750 miles
Hence, she can travel 750 miles.
1. The Hamiltons are installing a new pool in their backyard. The scale drawing below represents the new pool, where 1 centimeter represents 5 feet. 4 cm 6 cm If the area of the Hamiltons' backyard is 900 square feet, how many square feet of their backyard will NOT be taken up by the pool? Round your answer to the nearest whole number.
Answer:
175
Step-by-step explanation:
Because why would i lie?
The number of square feet of their backyard will NOT be taken up by the pool should be 100 square feet.
Calculation of the number of square feet;Since 1 centimeter represents 5 feet. 4 cm 6 cm And, the area of the Hamiltons' backyard is 900 square feet.
So here it can be like
4cm (5) = 20ft
6cm (5) = 40ft
Now
20ft : 40ft pool
20(40) = 800 square ft
So,
= 900sq ft - 800sq ft
= 100 square feet
Learn more about area here: https://brainly.com/question/17758676
Mark went to the bookstore. He bought 3
books for $6.00 each and two magazines
for $3.50 each. He received a 25% discount
on his purchase. If he handed the cashier
$20, how much change did Mark get back?
Answer: $1.25
Step-by-step explanation: (6*3) = 18 + (2*3.50)= 7
18+7=25
25*.25= 6.25
25-6.25= 18.75
20-18.75 = 1.25
BRAINLIEST AND ACED+ PLEASE HELP ME :c
Answer:
1 1/2 x 4 1/2 x 5 = 33 3/4
How many favorable outcomes will there be for spinning the same color twice?
Answer:
3 favorable outcomes
There are three paths that end up with spinning the same color twice
Answer:
should be 3
Step-by-step explanation:
Find two consecutive whole numbers that
82 lies between.
Answer: The question as written is incomplete, but square root of 82 is between the whole numbers 9 and 10, whose squares are 81 and 100
no links plz help
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
the answer is essentially d
Split the following into partial fractions.
1. x
(x+2)(x+3).
2. 11−3x
x2+2x−3
.
3. 2x
2−9x−35
(x+1)(x−2)(x+3).
4. x
3−2x
2−4x−4
x2+x−2
.
5. 2x+3
(x−2)3
.
6. 3+6x+4x
2−2x
3
x2(x2+3) .
Answer:
Go on a calotor
Step-by-step explanation:
You can do this I know you can