The Pythagorean identities are sin² θ + cos² θ = 1, 1 + tan² θ = sec² θ, and 1 + cot² θ = cosec² θ. Then the correct options are B, C, and E.
What is a right-angle triangle?It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function. The Pythagoras is the sum of the square of two sides is equal to the square of the longest side.
We know that
[tex]\rm H^2 = P^2+B^2[/tex]
Divide the equation by H², then we have
[tex]\rm\dfrac{P^2}{H^2}+\dfrac{B^2}{H^2} = 1 \\\\\sin ^2 \theta + \cos ^2 \theta = 1[/tex]
Similarly, the equation is divided by P² and B², then we have
[tex]\rm 1 + \tan ^2 \theta = \sec ^2 \theta \\\\1 + \cot ^2 \theta = cosec ^2 \theta[/tex]
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What is the solution to the linear equation? 6k 10.5 = 3k 12 k = 0.5 k = 2 k = 7.3 k = 9
The solution of the linear equation is k =0.5.
What is the linear equation?An equation is a mathematical statement, which has an equal sign (=) between the algebraic expression.
Linear equations are the equations of degree 1.
The given linear equation is;
[tex]\rm 6k + 10.5 = 3k + 12[/tex]
The value of k is determined in the following steps given below.
[tex]\rm 6k + 10.5 = 3k + 12\\\\6k-3k=12-10.5\\\\3k = 1.5\\\\k = \dfrac{1.5}{3}\\\\k = 0.5[/tex]
Hence, the solution of the linear equation is k =0.5.
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Calculate the circumstances of the shape below
Correct Question :-
Calculate the circumference of the shape below.
[tex] \\ \\ [/tex]
Given :-radius of circle = 12.5 m[tex] \\ \\ [/tex]
To find :circumference of a circle[tex] \\ \\ [/tex]
Solution :[tex] \\ [/tex]
We know :-
[tex] \bigstar\boxed{ \rm Circumference_{(circle)} = 2\pi r}[/tex]
[tex] \\ [/tex]
Steps :-
[tex] \dashrightarrow\sf Circumference_{(circle)} = 2\pi r[/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\sf Circumference_{(circle)} = 2\pi \times 12.5 \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\sf Circumference_{(circle)} = 2 \times \dfrac{22}{7} \times 12.5 \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\sf Circumference_{(circle)} =\dfrac{44}{7} \times 12.5 \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\sf Circumference_{(circle)} =\dfrac{44}{7} \times \dfrac{125}{10} \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\sf Circumference_{(circle)} =\dfrac{44}{7} \times \dfrac{ \cancel{125} {}^{25} }{ \cancel{10} {}^{2} } \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\sf Circumference_{(circle)} =\dfrac{44}{7} \times \dfrac{25}{2} \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\sf Circumference_{(circle)} =\dfrac{ \cancel{44}}{7} \times \dfrac{25}{ \cancel2} \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\sf Circumference_{(circle)} =\dfrac{22}{7} \times \dfrac{25}{1} \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\sf Circumference_{(circle)} =\dfrac{550}{7} \\ [/tex]
[tex] \\[/tex]
[tex] \dashrightarrow\bf Circumference_{(circle)} =78.6 \: m\{approx \} \\ [/tex]
[tex] \\[/tex]
~[tex] \pmb{\cal W\frak{indy}M\frak{int}}[/tex]
what is the exact length of the missing side
Answer:√44
Step-by-step explanation:
El quintuple de un número cuadrado disminuido en 9 da como resultado 36;¿cual es ese número?
Usando un sistema de ecuaciones, se encuentra que ese número es n = -3 o n = 3.
¿Qué es un sistema de ecuaciones?Un sistema de ecuaciones es cuando dos o más variables están relacionadas y las ecuaciones se construyen para encontrar los valores de cada variable.
En este problema, la variable es el número n.
El quintuple de un número cuadrado disminuido en 9 da como resultado 36, o sea, la ecuación es:
5n² - 9 = 36
5n² = 45
n² = 9
n = -3 o n = 3.
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Select the correct answer from the drop-down menu. Simplify the expression (x^19 y^21)^4/(x^2y^6)^2. The simplified expression is ...
A. (x^76)(y^84)
B. (xy)^72
C. (x^80)(y^96)
D. (xy)^84
The expression is [tex]\frac{(x^{19}y^{21})^{4} }{(x^{2} y^{6})^{2} }[/tex]. The simplified expression as [tex]{x^{72}y^{72} }[/tex]. Option B is correct.
Given that,
The expression is [tex]\frac{(x^{19}y^{21})^{4} }{(x^{2} y^{6})^{2} }[/tex]
We have to simplify the expression.
Simplify the expression means solving a math problem is the same thing as simplifying an expression. You basically attempt to write an expression as simply as you can when you simplify it. There shouldn't be any more multiplication, dividing, adding, or deleting to be done when the process is finished.
Take the expression
=[tex]\frac{(x^{19}y^{21})^{4} }{(x^{2} y^{6})^{2} }[/tex]
Multiply the powers
=[tex]\frac{x^{76}y^{84} }{x^{4} y^{12} }[/tex]
Divide the x and y terms
=[tex]{x^{72}y^{72} }[/tex]
Therefore, We got the simplified expression as [tex]{x^{72}y^{72} }[/tex]. Option B is correct.
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Find the solution to the system of equations by using either graphing and substitution y=2x-1 and y=x+3
pls explain ur answer
Answer:
x= 4 and y=7
Step-by-step explanation:
Bellow is the graph of the two systems, you can find the coordinates (4,7) were they intersect.
Because of this the two equations are true
7= 4+3 (True)
1. The ratio of bottles to mugs was 4 to 7. If there were 49 mugs, how many bottles were
there?
45
Answer:
28 bottles
HOPE THIS HELPS! :)
GIVING BRAINLEST TO THE PERSON THAT CAN EXPLAIN HOW TO DO THIS THE BEST :)
Answer:
[tex]25\sqrt{3} \ [units^2].[/tex]
Step-by-step explanation:
1) one side of the given rectangle can be calculated as:
10*sin30°=5 [units].
2) another side of the given rectangle can be calculated as:
10*cos30°=5√3 [units].
3) finally, the area required is:
5*5√3=25√3 [units²].
what is the opposite reciprocal of "-1/6"
Answer:
6/1
Step-by-step explanation:
The reciprocal is always the opposite. for example, the reciprocal of 9/10 is 10/9
Answer:
6 or 6/1
Step-by-step explanation:
The opposite reciprocal is when a fraction is flipped upside down (the reciprocal part) and with the signs changed (the opposite).
For -1/6
[tex]\frac{-1}{6} < ==flip\ the\ fraction\\\\\frac{6}{-1}\\\\ -6 < ==change\ the\ sign\\\\6[/tex]
Hope this helps!
For the given equation, enter the value of B when x = 3.
BX = 15
Answer:
b = 5
Step-by-step explanation:
x = 3
3B = 15
3B/3 = 15/3
B = 5
Increase £200 by 12.5%
Answer:
£225
Step-by-step explanation:
12.5% × £200
>> £25
Since we want to increase £200 by 12.5%, then we will add the increment to the £200 to get;
£200 + £25 = £225
Answer: £25
Step-by-step explanation: Take £200 and multiply by 12.5% and you get £25. I hope this helped!
HELP PLEASE!!! I WILL GIVE 25 POINTS
What is the slope of the line.
Answer:
The slope of the line is 1
In point-slope form:
y = x + 1
Answer: 1
Step-by-step explanation: the rise is 1 and the run is also 1 so 1/1 equals 1
How many groups of 5 can go into 900
Answer:
Your answer is 180
Step-by-step explanation:
180 x 5 = 900
Find the surface area of the prism. Write your answer as a decimal.
13.5 in.
9 in.
9 in
10 in.
Answer:
360 in²
Step-by-step explanation:
Total SA = 2 triangles + 3 squares
Triangles:
A = bh/2
A = (9 · 10)/2
A = 90/2
45 in²
Squares:
A = bh
A = (9)(10)
90 in²
Total SA: 2(45) + 3(90)
Total SA: 360 in²
I hope this helps!
The soccer coach bought 3 new soccer balls. The total cost of the balls was $21. 28. The coach used a $20 bill and a $10 bill to pay for the balls. Which is not a combination of coins and bills that can be used to make the change that the coach should receive?
----------------------------------------------------------------------------------------------------------------------------
A. One $5 bill, one $2 bill, one $1 bill, four dimes, two pennies
B. One $5 bill, three $1 bills, two quarters, two dimes, two pennies
C. Eight $1 bills, seven dimes, two pennies
D. Four $2 bills, a half-dollar, four nickels, two pennies
Answer:
a
Step-by-step explanation:
a is 8 .52 so its to low and the change was 8.72
Describe a situation that fits each equation. Describe more than one situation for each equation, if possible.
a) 4x − 1 = 19
b) 2x − 4 = 10
c) 2x + 2y = 48
d) 5x + 2y = 90. no links please!
Answer:
Step-by-step explanation:
4x − 1 = 19
solving for x, x = 5
2x − 4 = 10
x=7
2x + 2y = 48
x=24-7
y=24-x
5x + 2y = 90
x=18-2y/5
y=45-5x/2
all the situations I could find hope this helps for each equation.
The table shows the number of resident geese living in four different ponds. a 3-column table has 4 rows. the first column has entries pond a, pond b, pond c, pond d. the second column is labeled population of geese with entries 88, 175, 192, 204. the third column is labeled area (acres) with entries 1.1, 1.3, 1.5, 2.0. which pond has the greatest population density of resident geese? pond a pond b pond c pond d
The population density is the ratio of the number of geese to the area. Then the greatest population density in pond C is 128.
What is population density?The population density is defined as the number of objects present in the unit area.
The formula is given as
[tex]\rm Population\ density = \dfrac{number\ of \ object}{total \ area}[/tex]
The table shows the number of resident geese living in four different ponds. a 3-column table has 4 rows.
Then the greatest population density of the geese will be
[tex]\rm Population\ density = \dfrac{192}{1.5} = 128[/tex]
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Answer:
pond B
Step-by-step explanation:
edg 2022
An exponential function has an initial value of 500 and a decay rate of 15%. Compare the average rate of change for the interval 0
Answer:xponential function has an initial value of 500 and a decay rate of 15%. Compare the average rate of change for the interval 0
Step-by-step explanation:
The location where the x- and y-axes intersect is known as the ____________.
A. coordinate plane
B. origin
C. ordered pair
D. quadrant
Answer:
B. origin
Step-by-step explanation:
It is usually right at the center of a graph, the point (0,0) It is where you start from to graph points.
Sophia buys a supply of toilet paper from costco that comes in a pack 36. She immediately gives 4 rolls of toilet paper to her sister (who shared with her last month). She uses 2 rolls of toilet paper a per month.
(a) Write an expression that represents the situation
(b) Determine how many rolls of toilet paper she will have left after 1 year
EXPLAIN AND SHOW YOUR WORK
I believe she will have 8 rolls of toilet paper left after one year.
She started with 36, then gave away 4, so then she would have 32 left for herself, then she used 2 every month so if you deduct 2 rolls every month for 12 months she would use 24 in one year. So 32-24 is 8.
pls help me brainly wont show me the right results
Answer:
[tex]\boxed{\tt x=45^o}[/tex]
Step-by-step explanation:
The two angles together are supplementary, which means that they add up to 180°
[tex]\tt (2x+45)^o+x^o=180^o[/tex]
Now, let's solve for x:-
[tex]\tt 2x+45+x^o=180^o[/tex]
[tex]\tt 3x+45^o=180[/tex]
[tex]\tt 3x=135^o[/tex]
[tex]\tt x=45^o[/tex]
_____________________
Based on the information above ,what percent of students type less than 30 words per minute? hurry i need help
Based on the information provided in the histogram, the percent of students that type less than 30 words per minute is 30%.
What percent of students type less than 30 words per minute?A histogram is used to represent data graphically. The histogram is made up of rectangles whose area is equal to the number of students and whose width is equal to the words per minute.
Percentage of students who type less than 30 words per minute = (number of students that type less than 30 words per minute) / total number of students) x 100
[(10 + 5) / 50] x 100 = 30%
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How many blocks having 2 m³ volume of each are there in a wall having volume 600m³
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Number of blocks having volume of 2 m³ in the wall ~
[tex]\qquad \tt \dashrightarrow \: \dfrac{600}{2} [/tex]
[tex]\qquad \tt \dashrightarrow \:300 \: \: blocks[/tex]
Step-by-step explanation:
No of blocks will a wall will have =
Volume of wall / volume of one block
putting the known values ,
No of blocks = 600m³/2m³
No. Of blocks = 300 blocks
The number of blueberry muffins Gary bakes each day is 30% of the total number of muffins he bakes. If he baked 24 blueberry muffins on Sunday, what is the total number of muffins baked?
Answer: The answer is 80
Step-by-step explanation:
Answer:
Gary baked 80 muffins on Sunday
Step-by-step explanation:
I can set up a proportion, knowing that 24/x = 3/10, where x is the total number of muffins baked on Sunday. By cross multiplying, I get 240 = 3x. By dividing both sides by 3, I find x = 80.
the sum of 2/5 and f is 1/2
Answer:
the photo has the anwer
and it up to you if this is right it should be can I be marked as brainliest
what do you call boys who love algebra?
Answer:
algebros....
Step-by-step explanation:
L00K AND ANSWER PLS :) :) :) :) :) :) :) :) :) :) :) :) :) :) :) :) :) :)
Answer:
i dont the answer
Step-by-step explanation:
hey u, you're a loser
PLS HELP ASAP Cassandra earns $12. 98 an hour working at Key Food. How much money will she earn this month, if she works 36. 7 hours? Round the amount of time to the nearest hundredth.
Answer:
476.37
Step-by-step explanation:
$12.98/hr at KF (Key Food)
$x/36.7, so look at it fractionally.
36.7x12.98
This wil be 476.366
Rounding to the nearest hundredth is 2 decimal places (tenths, hundredths).
476.366 will be 476.37
A cylinder has a base diameter of 12ft and a height of 12ft. What is its volume in cubic ft, to the nearest tenths place?
Answer:
1357.2
Step-by-step explanation:
[tex]V=\pi r^{2} h[/tex]
[tex]=\pi *6^{2} *12[/tex]
[tex]=1357.2[/tex]
Complete the table of values for equation y=5-2x
The required table of values for equation y=5-2x is;
x | y
0 5
1 3
2 1
3 -1
Functions and valuesTables of values are values used to represent functions.
Given the linear function expressed as y = 5 - 2x, we are to form a tables of values for the function.
Using the values of x = 0, 1, 2, and 3
If x = 0
y = 5 - 2(0)
y = 5
If x = 1
y = 5 - 2(1)
y = 3
If x = 2
y = 5 - 2(2)
y = 1
If x = 3
y = 5 - 2(3)
y = -1
Hence the required table of values for equation y=5-2x is;
x | y
0 5
1 3
2 1
3 -1
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