Answer:
cot is an inverse function or rival of tan:
[tex]{ \boxed{ \bf{ \cot( \theta) = \frac{1}{ \tan( \theta) } }}}[/tex]
Considering the question:
[tex]{ \tt{ \frac{ \tan( a) - \tan(b) }{ \cot(b) - \cot(a) } = \tan(a) . \tan(b) }} \\ \\ { \tt{ \tan(a) - \tan(b) = ( \tan(a). \tan(b) )( \cot(b) - \cot(a) ) }} \\ { \tt{ \tan(a) - \tan(b) = \tan(a) \cot(b) \tan(b) - \cot(a) \tan(a) \tan(b) }} \\ \\ { \tt{ \tan(a) - \tan(b) = \frac{ \tan(a) \tan(b) }{ \tan(b) } - \frac{ \tan(a) \tan(b) }{ \tan(a) } }} \\ \\ { \tt{ \tan(a) - \tan(b) = \tan(a) - \tan(b) }}[/tex]
#Hence L.H.S = R.H.S, equation is consistent.
Expand and Simplify
10a-(3a+7)
Please help!! I am literally in tears!!
Consider the function, y = - 13x +52. Find the inverse of the function by solving it for
x. Then, use the inverse to find a value of y such that x = 182.
Answer:
-10
Step-by-step explanation:
Inverse equation: x= -13y +52
simplify: y=-1/-13x + 4
Plug in for x: y= 1/-13 (182) +4
= -10
Answer:
y = -10
Step-by-step explanation:
x = -13 y + 52
y = (x - 52)/-13
~~~~~~~~~~~~~~~~~~
y = (182 - 52)/-13
y = -10
Susie is paying $540.15 every month for her $150,000 mortgage. If this is a 30 year mortgage, how much interest will she pay over the 30 years of payments?
Answer:
17310.6
$540.15 multiply 30
because if they ask all in every month is 540.15
and she got 30 year
Susie will pay a total of $44,454 in interest over the 30 years of mortgage payments.
How to determine How much how much interest will she pay over the 30 years of paymentsTo determine the total interest Susie will pay over the 30 years of mortgage payments, we need to subtract the principal amount (the original loan amount) from the total amount she will pay over the 30 years.
First, let's calculate the total amount she will pay over the 30 years by multiplying her monthly payment by the number of months in 30 years:
Total amount paid = Monthly payment x Number of months
= $540.15 x (30 years x 12 months/year)
= $540.15 x 360
= $194,454
Next, we subtract the principal amount from the total amount paid to find the total interest paid:
Total interest paid = Total amount paid - Principal amount
= $194,454 - $150,000
= $44,454
Therefore, Susie will pay a total of $44,454 in interest over the 30 years of mortgage payments.
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An item on sale costs 80% of the original price. The original price was $41.
Answer:
$32.80
Step-by-step explanation:
So you are trying to find out how much does the sale price cost?
Ok convert $41 into a decimal
$41 = $0.41
Then multiply 80% x $0.41
80 x $0.41 = 32.80
Answer:
$32.8
Step-by-step explanation:
Solve using a proportion
if 100%= $41 and 80% = x, then you cross multiply, and you get 100x = 41 (80), which would become 100x = 3280. Then you divide by 100 on both sides to get 32.8, which would be your answer!
what is the difference
Answer:
what is question of this you asked
What is the value of x that makes l1||12?
A. 11.3
B. 14
C. 22
D. 10
Answer:
[tex](8x - 14) + (2x + 54) = 180 \\ 8x + 2x - 14 + 54 = 180 \\ 10x - 14 + 54 = 180 \\ 10x + 40 = 180 \\ 10x = 180 - 40 \\ 10x = 140 \\ x = \frac{140}{10} \\ x = 14[/tex]
HALP ASAP, also im in or going into 7th grade it only goes from 10th to 100??
which makes know sence
Question 3
1 pts
Students from Mr. Caldwell's Spanish class are saving money for a summer
trip to Barcelona, Spain. Each student needs to raise $1,080 to be able to
attend the trip. This amount represents an increase of 12.5% over the cost of
the trip last year. How much did the trip to Barcelona cost last year?
O $850
$960
$1,215
$1,030
Answer:
$960
Step-by-step explanation:
Let the original amount be = x
Percentage increase is equal to = 12.5%
final amount = original amount + increase
final amount = x + 0.125x
final amount = 1.125x
final amount = 1080 = 1.125x
and then solve for x
[tex]x = \frac{1080}{1.125} \\ \\ x = 960[/tex]
so in the end x is equal to $960
Solve the equation: 1080 = 1.25x
An isosceles triangle has been constructed so that its height is half its base. Find the dimensions of the
triangle if the area is 64 m².
Answer: 4 8×8= 64 half the base which is 8 =4
Step-by-step explanation:
Answer:
height = 8 m
base = 16 m
Step-by-step explanation:
Let base = 2x m
So, height = half its base = [tex]\frac{2x}{2} = x \ m[/tex]
Area = 64 m²
[tex]\frac{1}{2}* \ base* \ height = 64\\\\\\\frac{1}{2}* 2x * x = 64[/tex]
x * x = 64
x * x = 8 * 8
x = 8 m
Base = 2x = 2*8 = 16 m
Solve the equation P=s+t+r for s.
Answer:
[tex]\huge\boxed{\boxed{s=P-t-r}}[/tex]
Step-by-step explanation:
[tex]P=s+t+r\qquad|\text{subtract}\ t\ \text{and}\ r\ \text{from both sides}\\\\P-t-r=s+t+r-t-r\\\\P-t-r=s\Rightarrow\boxed{s=P-t-r}[/tex]
A cylindrical roller is 4m long. Its diameter is 1.4m. How many metres does it travel in 500 revolution?
Step-by-step explanation:
the answer is in the image above
which methods could you use to calculate the y coordinate of the midpoint of a vertical line segment with end points at (0,0) (0, -12). check all that apply
Answer:
D
Step-by-step explanation:
I like count by hand. If all else fails (like not being able to enter -12 into your calculator), counting by hand is a time honored method of getting answers.
That is never the answer in a math class. You should answer dividing -12 by 2
pllllllssssss helpooppppp
Review the data you collected for the angles in Question 2. Notice that ∠CFB is one of four angles formed by the two intersecting chords. What relationship do you observe that could help you determine the measure of any of the four angles created by two intersecting chords? Write the relationship as an equation.
Answer:
The measure of an angle created by two intersecting chords is half the sum of the measure of the intercepted arc and the measure of the arc vertically opposite to the angle. In this case, I can write m∠CFB = 1/2(m∠CAB + m∠EAD) because the measure of an intercepted arc is equal to the measure of its corresponding central angle.
Explanation:
sample answer from edmentum
what is the answer to this?
Answer:
x= -1, y = -1
Step-by-step explanation:
-16x +24y = -8
16x -8y = -8
16y = -16
y=-1
16x = -16
x = -1
Answer:
x = - 0.25 = - 1 / 4
y = 0.5 = 1 / 2
Step-by-step explanation:
4x + 6y = 2
Divide 2 on both sides,
2x + 3y = 1 ----> eq. 1
16x - 8y = - 8
Divide - 8 on both sides,
- 2x + y = 1 ----> eq. 2
Add eq. 1 and 2,
2x + 3y = 1
- 2x + y = 1
_________
0 + 4y = 2
4y = 2
y = 2 / 4
y = 1 / 2
y = 0.5
Substitute y = 0.5 in eq. 2,
- 2x + y = 1
- 2x + 0.5 = 1
- 2x = 1 - 0.5
- 2x = 0.5
x = 0.5 / - 2
x = - 0.25
which of the following is the symbol for parallel lines AB and XY?
Answer
A is the symbol for parallel lines AB and XY.
Explanation
B shows that line segment AB and XY are parallel, because there are no arrows, and line segments do not extend forever.
C shows that ray AB and XY are parallel, because there is one arrow, and rays only extend on one point.
Only A shows that line AB and XY are parallel. Lines extend forever, the A shows that AB and XY are parallel, since there are arrows in both directions above AB and XY.
An alloy of copper and zinc which contains 5 grams of zinc. If 15 grams of zinc are added to this alloy, a new alloy is obtained in which the copper content has been reduced by 30% from the original. Find the initial mass of the alloy
Answer:
Initial mass = 25 grams
Step-by-step explanation:
[tex]\left(\frac{x}{x+20}\right)\:=\:\:\left(\frac{x}{x+5}\:-.3\:\right)[/tex]
x = 20 (mass of copper)
[tex]\frac{20}{20+5} = .8 = 80[/tex] percent
[tex]\\\frac{20}{20+15} = .5 = 50[/tex] percent
A shopkeeper bought two watches for rs. 400 . He sold them to gain 5 % on one and 5 % loss on other . Calculate his final gain or loss percent of the selling price of both watches is same .
Answer:
69
Step-by-step explanation:
1234567890
what is 2.9225 rounded to the nearest cent?
Answer:
2.92
Step-by-step explanation:
bvscscscscsccscd
Answer:
2.92
Is what I rounded
and hope it helps
Katherine Johnson is organizing the sale of supplies for the space mission. On the first day you of sales Dorothy Vaughan purchased 3 blankets and 9 trays for a total of $75. Mary Jackson spent 67 on the second day by purchasing 8 blankets and 5 food trays. What is the price of one blanket ticket and one food tray?
help please!! congruent figure
Enter a recursive rule for the geometric sequence.
5, -10, 20, -40,...
a^1 = __; a^n = __
Answer
a^1=-2,5
a^n=a×a^n-1
The price of an item changed from $175 to $150. Later, the price decreased to $125. Which of the two decreases was larger in percentage and how much is it?
Answer:
The second decrease is larger at 16 1/6% decrease
Step-by-step explanation:
175 to 150
Take the original price minus the new price divided by the original price
(175 -150) /175 =25/175 = 1/7 =.142857143 = 14.28 % decrease
150 to 125
Take the original price minus the new price divided by the original price
( 150-125)/150 = 25/150 = 1/6 =.16666 = 16 1/6 % decrease
The second decrease is larger at 16 1/6% decrease
Amanda woke up at 6:15 Am and slept 8 and 40 minutes at what time did Amanda go to bed
she slept at 9:35 am
hope it helps :)
what is the solution to the equation below sqrt x+3 = x-3
A. 5
B. 6
C. 4
D. 3
Answer:
The value of x = 6
Step-by-step explanation:
Given:
√x + 3 = x - 3
Find:
The value of x
Computation:
Given expression
√x + 3 = x - 3
Squaring both side
(√x + 3)² = (x - 3)²
x + 3 = x² + 3² - (2)(x)(3)
x + 3 = x² + 9 - 6x
x² + 9 - 6x - x - 3 = 0
x² + 7 - 5x = 0
x² - (6 + 1)x + 6 = 0
x² - 6x - x + 6 = 0
x(x - 6) -1(x - 6) = 0
(x - 6)(x - 1) = 0
x = 6 and x = 1
The value of x = 6
The afternoon classes in a school begin at 1 PM
and end at 3:52 PM. There are 4 class periods
with 4 minutes between classes. How many
minutes are there in each class period?
Answer:
39 minutes
Step-by-step explanation:
Ok so first I found the difference between 1pm and 3:52 pm and it was 2 hours and 52 minutes
So then I took the 4 class periods and times it by for to see to total of minutes between class periods which was 16
Then I subtracted 16 for 52 to get 36 minutes
So now the time for class periods was 2.36 minutes
So I took that numbers and divided it by the 4 class periods and got 39 minutes.
Wow those are short class periods, mine are normally like an hour, but anyways hope this helped :). If I'm wrong please correct me. :)
There are 40 minutes in each class period if the afternoon classes in a school begin at 1 PM and end at 3:52 PM.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
It is given that:
The afternoon classes in a school begin at 1 PM and end at 3:52 PM.
Duration of school = 2 hours and 52 minutes
Or
Duration of school = 172 hours
There are 4 class periods with 4 minutes between classes.
Duration of classes = 172 - 4(3)
Duration of classes = 172 - 12
Duration of classes = 160 minutes
Total minutes for each class period = 160/4 = 40 minutes
Thus, there are 40 minutes in each class period if the afternoon classes in a school begin at 1 PM and end at 3:52 PM.
Learn more about the arithmetic operation here:
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The figure that will be formed if two 45° 45° 90° setsquares are put together is _________.
Solve the system of equations.
Answer:
(-1,3) and (2,6)
Step-by-step explanation:
The solution to the system is where the two graphs intersect
The graphs intersect at x=-1 and y =3 and x = 2 y=6
(-1,3) and (2,6)
if 3A =2b=5c, then find A:B:C
Answer:
10:15:6
Step-by-step explanation:
let 3A=2B=5C
then,A=1/3,B=1/2,=1/5
therefore:A:B:C=1/3,1/2,1/5
10:15:6/30=10:15:6
If F is conservative, find all potential functions f for F so that F = ∇f. (If F is not conservative, enter NOT CONSERVATIVE. Use C as an arbitrary constant.)
Answer: some parts of your question is missing below is the missing data
Determine if the given vector field F is conservative or not. F = −6e^y, (−6x + 3z + 9)e^y, 3e^y
answer:
F is conservative
F = -6xe^y + ( 33 + 9 ) e^y + C
Step-by-step explanation:
The Potential functions for F so that F = ∇f.
F = -6xe^y + ( 33 + 9 ) e^y + C
attached below is a detailed solution
