csc(2x) + cot(2x) = 1 / sin(2x) + cos(2x) / sin(2x)
csc(2x) + cot(2x) = (1 + cos(2x)) / sin(2x)
csc(2x) + cot(2x) = (1 + cos(2x)) / (2 sin(x) cos(x))
csc(2x) + cot(2x) = cos²(x) / (sin(x) cos(x))
csc(2x) + cot(2x) = cos(x) / sin(x)
csc(2x) + cot(2x) = cot(x)
13. The Castillo de San Marcos is a Spanish
fortress that was built between 1672
and 1695.
a. Rounded to the nearest ten
thousand, how many pesos did it
cost to build the fortress?
It cost 138,375
pesos to build this
fortress
b. How many years did it take to build
the fortress?
Pamela's age is three times Jiri's age. The sum of their ages is 84. What is Jiri's age?
Answer:
21
Step-by-step explanation:
21*3 = 63 (add jiri's age)
63+21= 84
Hope this helps!
Alan takes 3 minutes to draw a picture. Beatrice takes 4 minutes to draw a picture. If Alan and Beatrice start drawing pictures at the same time, how long will they draw before they can complete a picture at the same time?
Answer:
12 minutes
Step-by-step explanation:
alan: 3, 6, 9, 12
beatrice: 4, 8, 12, 16
Both times meet at 12 minutes.
PLEASE HELP!!! ILL GIVE BRAINLIEST THIS IS WORTH 20 POINTS PLEASE (ignore where it says 8 &2 points it’s how much the question adds up to in the grade book)
Answer:
x= -3 is the answer
UW=3 is the answer..
hope it helps you mate
please mark me as brainliast
Answer:
From the given figure, we can see that the 2 given line segments are equal in length
Hence,
11 + (x - 5) = 2x - 4
6 + 4 = x
x = 10
Now that we know the value of x, we can use it to get the length of the line segment UW
UW = 11 + (x - 5)
UW = 11 + (10 - 5)
UW = 11 + 5
UW = 16 units
The highest temperature recorded in the town of Westgate this summer was 93°F. Last winter, the lowest temperature recorded was -13°F. Find the difference between these two extreme temperatures.
Answer:
80
Step-by-step explanation:
If f(x)=×^2+7x-5 and you divide by x-2, What is the quotient and remainder?
Answer:
The quotient is : x+9
The remainder is : 13
Step-by-step explanation:
The question requires you to perform the long division method;
This will be;
[tex]x-2\sqrt{x^2+7x-5}[/tex]
start with the x term in x-2 and the first term in the function, x², to get x then multiply the x with x-2 to get x²-2x and perform the operation below;
x-2√x²+7x-5 -----------to first get x and then multiply x*[x-2]⇒x²-2x
- x²-2x+0 ------------perform subtraction of like terms
---------------------
9x-5 ----now divide this answer by x-2 ,starting with x and 9x
----------------------This will give , 9 then multiply 9 by x-2 to get 9x-18 and perform the subtraction operation as;
9x-5
- 9x-18
------------------------
13
So the answer will be; x+9 remainder 13
In a computer instant messaging survey, respondents were asked to choose the most fun way to flirt,
and it found that P(D) = 0.710, where D is directly in person. If someone is randomly selected, what does
PD) represent, and what is its value?
What does Po represent?
O A. P(D) is the probability of randomly selecting someone who did not participate in the survey.
OB. P(D) is the probability of randomly selecting someone who chooses a direct in-person
encounter as the most fun way to flirt.
OC. P(D) is the probability of randomly selecting someone who does not choose a direct in-person
encounter as the most fun way to flirt.
OD. P(D) is the probability of randomly selecting someone who did not have a preference in
regards to the most fun way to flirt.
PD = (Simplify your answer.)
Answer: C , 0.29
Step-by-step explanation:
P(D) is the probability flirting of directly in person.
represents probability of flirting other than in person.
P(D)=0.710.
= 1 - 0.710.
= 0.29
Hence the value of Upper P left parenthesis Upper D overbar right parenthesis is 0.29.
When a number, half of the number, and a third of the number are added together, the
sum is 275. Find the three numbers.
Step-by-step explanation:
Let the number be x.
Half of a number is x/2 and a third of the number is x/3
ATQ,
[tex]x+\dfrac{x}{2}+\dfrac{x}{3}=275\\\\\dfrac{6x+3x+2x}{6}=275\\\\\dfrac{11x}{6}=275\\\\x=\dfrac{275\times 6}{11}\\\\x=150[/tex]
Frist no is 150
Second no is 150/2 = 75
Third no is 50
1/6 x 3/4 plssss I need help
Answer:1/8
Step-by-step explanation: :D CALULATOR BAD SPELL I KNOW
A bird goes from a higher location to a lower location at a
rate of 3 meters per second.
Which equation models the change in the bird's position at 120 seconds?
Answer:
The answer is 120(-3)= -360
Step-by-step explanation:
Apex Learning!
So the answer is the NEGATIVE 360!!
Answer:
120(-3)=-360
Step-by-step explanation:
Expand and simplify the following expression: 2x(x+3)+ 3(2x-1)+5
Zach is playing a video game. A penalty in Jupiter Battle is a loss of 7 power points. Zach lost a total of 49 power points. How many
times was Zach penalized?
es.)
Answer:
7
Step-by-step explanation:
Mark me brainlist
Given: x - 6 > -2
Choose the solution set.
{x | x ∈ R, x > 4}
{x | x ∈ R, x > -8}
{x | x ∈ R, x < 4}
{x | x ∈ R, x < -8}
The first one is the answer
Cual es el resultado correcto de la siguiente ecuación 2x-8=?
If you answer this thanksssssss
Answer:
A. 6.95+8t=24.95;t=2.25
Step-by-step explanation:
24.95 minus 6.95 of the canvas equals 18 dollars left for the 8 tubes of paint, but then you have to figure out how much money for each which would equal 18 divided by 8, and that equals 2.25 dollars.
Pam walks 7/8 of a mile to school. Paul walks 1/2 of a mile to school. How much farther does Pam walk than Paul?
Answer:
Pam walks 3/8 of a mile more than Paul.
Step-by-step explanation:
Which equation matches the graph?
Answer:
equation C
Step-by-step explanation:
y-axis = 4
gradient of line is -2/3
Can someone help me please
Answer:
-729, so x9
Step-by-step explanation:
-81×9=-729 hope it helps!
7th grade math help me plzz
Answer:
-3, -2, -0.8, -1/10, 1/2, 0.8, 7
Step-by-step explanation:
hope this helps
a rectangular suitcase measure 24 inches long and the diagonal is 30 inches long. the zipper covers the entire perimeter of the suitcase. how many inches of the zipper was needed to cover the perimeter of the suitcase?
Given parameters:
Length of the suitcase = 24 inches
Length of the diagonal = 30 inches
Unknown:
Length of zipper required to cover the perimeter = ?
The length of this zipper is the same as the perimeter of the rectangular suitcase.
Perimeter of a rectangle = 2(L + B)
where L is the length and B is the breadth
Now, let us find the find the unknown breadth;
Using Pythagoras theorem;
30² = 24² + Breadth²
Breadth² = 30² - 24² = 324
Breadth = √324 = 18 inches
Perimeter of the suitcase = 2(24 + 18) = 84 inches.
The length of zipper that will cover this suitcase is 84inches.
The value of 7 in 17.92 is times as much value of 7 in 92.17
48% = 48 Over 100 = A Over 25. What is A?
9514 1404 393
Answer:
A = 12
Step-by-step explanation:
[tex]48\%=\dfrac{48}{100}=\dfrac{4\cdot12}{4\cdot25}=\boxed{\dfrac{12}{25}}[/tex]
Comparing this to A/25, we see that A = 12.
A submarine dives 20 meters each minute for 15 minutes. What is the total change in depth after 15 minutes?
Answer:
300m
Step-by-step explanation:
20 Times 15=300
Solve for x:3(x+1)=-6
Answer:
x=-3
Step-by-step explanation:
Answer:
-3
Step-by-step explanation:
3(x +1) =-6
3x +3 =-6
3x =-6 - 3
3x=-9
x=-9:3
x=-3
Find the distance between the points (-3, 5) and (7, -1), round the nearest 10th, if nessasary.
Answer:
The answer is 11.7 unitsStep-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\[/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(-3, 5) and (7, -1)
The distance between them is
[tex]d = \sqrt{ ({ - 3 - 7})^{2} + ({5 + 1})^{2} } \\ = \sqrt{( { - 10})^{2} + {6}^{2} } \\ = \sqrt{100 + 36} \: \: \: \: \: \: \: \\ = \sqrt{136} \\ = 2 \sqrt{34} \\ = 11.66190378...[/tex]
We have the final answer as
11.7 units to the nearest tenthHope this helps you
Could someone help with this math??!
Answer:
1. what I the square root of negative 4
2. one is minusing the square root of 4
A full 17 oz bottle of spring water is leaking half of an ounce a minute into an empty bottle. How long will it take for the two bottles to have the same amount of water
Answer:
8.5 minutes
Step-by-step explanation:
the bottle will have leaked half into the 2nd bottle, meaning the 2nd bottle has half too
It will take 17 minutes for the two bottles to have the same amount of water.
What is unit rate?Something calculated for one is called unit rate.
Given that, A full 17 oz bottle of spring water is leaking half of an ounce a minute into an empty bottle.
To have same amount of water both the bottles will have 17/2 = 8.5 ounces of water in them,
Since, it takes a minute to leak or fill half of an ounce,
Therefore, one ounce will take 2 minutes.
Therefore, 8.5 ounces will take = 8.5×2 = 17
Hence, it will take 17 minutes for the two bottles to have the same amount of water.
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Use the zero product property to find the solutions to the equation x2 + x – 30 = 12.
Answer:
x= 6, -7
Step-by-step explanation:
A teacher spent $240.75 including tax on school supplies. If the tax rate is 7%, find the price of the supplies before taxes.
Answer:
$225.00
Step-by-step explanation:
7% of 225 is $15.75
.07x225=$15.75
$225+$15.75=$240.75
In school ,there are 3 girls for every 2 boys . There are 650 students in total . How many students are girls
Answer:
390 girls.
Step-by-step explanation:
[tex]\frac{3}{5}[/tex] of 650 is 390.
A ratio shows us the number of times a number contains another number. The number of girls in the school will be equal to 260.
What is a Ratio?A ratio shows us the number of times a number contains another number.
Given that in the school, there are 3 girls for every 2 boys. Therefore, the ratio of girls to boys in the school can be written as,
Ratio = Girls / Boys = 3 / 2
Now, as per the ratio of the girls to boys, we can assume that the number of girls and boys in the school are 3x and 2x, respectively.
Further, given that the total number of students in the school is 650. Therefore, the total number of students can be written as,
Number of boys + Number of girls = 650
3x + 2x = 650
5x = 650
x = 130
Thus, the number of girls in the school can be written as,
Number of girls = 3x
= 3 (130)
= 260
Hence, the number of girls in the school will be equal to 260.
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