The shaded area in the circle below represents a damaged section of a 6-foot diameter tabletop.What value is closest to the area of the damaged section?A. 4.0 square feetB. 8.1 square feetC. 7.7 square feetD. 6.0 square feet
Answers
The rule of the area of the sector is
[tex]A=\frac{\emptyset}{360}\times\pi\text{ }\times r^2[/tex]The angle is 77 degrees
The diameter is 6 feet
The radius is half the diameter, then
The radius = 6/2 = 3 feet
Substitute the values of the angle and the radius in the rule above
[tex]A=\frac{77}{360}\times\pi\times(3)^2=6.0475658=6.0\text{ square f}eet[/tex]So the answer is D
The area of the damaged section is 6.0 square feet
Related Questions
Every Third person on a list of soccer players is selected for a survey. what kind of sampling method is used?convenience sampling systemic sampling cluster sampling stratified sampling
Answers
Answer:
systemic sampling
Explanation:
Convenience sampling is when the data is taken from a specific group because it is easier or more convenient for the researcher.
Systematic sampling is when the samples are taken according to a specific or fixed rule.
Cluster and stratified sampling are when the population is divided into small groups according to the goal of the study.
Therefore, the method used in this case is systematic sampling, because the fixed rule or interval is to select every third person on the list.
Solve for y: 2x+4y=-22
Answers
Given the expression:
[tex]2x+4y=-22[/tex]Let's solve for y.
[tex]2x+4y=-22[/tex][tex]2x\text{ + 4y - 2x = -22 - 2x}[/tex][tex]4y\text{ = -22 - 2x}[/tex][tex]\frac{4y}{4}\text{ = }\frac{\text{-22 - 2x}}{4}[/tex][tex]\text{ y = }\frac{-2x}{4}\text{ - }\frac{22}{4}[/tex][tex]\text{ y = -}\frac{1}{2}x\text{ - }\frac{11}{2}[/tex]Therefore, the answer is letter B.
Solve the system.—x2 + y2 = 16.y + 4 = x2=(-2.65, [?]) (0,[ ] (2.65, [ ])
Answers
Given the system of equations:
[tex]\begin{cases}x^2+y^2=16 \\ y+4=x^2\end{cases}[/tex]As shown in the figure, there are 3 points that are the solutions to the system
For each point given the value of x
So, we will substitute with (x) to find (y)
From the second equation:
[tex]y=x^2-4[/tex]substitute with x = -2.65, 0, 2.65
[tex]\begin{gathered} x=-2.65\rightarrow y=(-2.65)^2-4=3 \\ x=0\rightarrow y=(0)^2-4=-4 \\ x=2.65\rightarrow y=(2.65)^2-4=3 \end{gathered}[/tex]So, the answer will be:
[tex]\begin{gathered} (-2.65,3) \\ (0,-4) \\ (2.65,3) \end{gathered}[/tex]TRIGONOMETRY Find the area of the entertainment region round to two decimal places
Answers
Explanation
In the first case, we will find the area of the triangle. This is given as;
[tex]\begin{gathered} \text{Area of}\triangle=ab\sin \theta \\ =5\times5\sin 40^0 \\ =16.0697 \end{gathered}[/tex]To get the area of the semicircle we will require the diameter of the semicircle, which is the unknown side of the triangle.
Let the unknown side be x
Therefore, we can use the cosine rule.
[tex]\begin{gathered} x=\sqrt[]{a^2+b^2-2ab\cos \theta} \\ x=\sqrt[]{5^2+5^2-2\times5\times5\cos 40^0} \\ x=\sqrt[]{25^{}+25^{}-50\cos 40^0} \\ x=\sqrt[]{50^{}-50\cos 40^0} \\ x=3.4202 \end{gathered}[/tex]x represents the diameter of the semicircle. We can then have the radius as half of x.
[tex]r=\frac{x}{2}=\frac{3.4202}{2}=1.7101[/tex]The area of the semicircle is given as
[tex]\text{area of a semicircle =}\frac{1}{2}(\pi r^2)=\frac{1}{2}(\pi\times1.7101\times1.7101)=4.5937^{}[/tex]Therefore, the area of the shape is the sum of the triangle and the semi-circle.
[tex]\begin{gathered} \text{Area of the shape =16.06}97+4.5937 \\ =20.67 \end{gathered}[/tex]Answer:
[tex]20.67[/tex]1.7.PS-12Is the value of the expression greater than 1, equal to 1, or less than 1?122The value of the expression is greater than 1.less than 1.greater than 1.equal to 1.Click to select your answer(s) and then click Check Answer.
Answers
Given the expression:
[tex](\frac{1}{2})^2[/tex]When you square a fraction, you have to calculate the square of the numerator and the denominator:
[tex](\frac{1}{2})=\frac{1^2}{2^2}[/tex]The square of 1 is 1
The square of 2 is equal to four, so the result is:
[tex]\frac{1^2}{2^2}=\frac{1}{4}[/tex]As you can see, the result is one quarter, a fraction, since the numerator, 1, is being divided by 4, the result is less than one.
How many times as great is the diameter of a pinhead as the diameter of a cloud-water droplet
Answers
Given:
The diameter of cloud-water droplet is
[tex]10^{-5}[/tex]The diameter of pinhead is 0.001.
Explanation:
Divide the dimater of cloud-water droplet by dimater of pinhead to determine the times as great is the diameter of a pinhead as the diameter of a cloud-water droplet .
[tex]\begin{gathered} a=\frac{0.001}{10^{-5}} \\ =0.001\cdot10^5 \\ =100 \end{gathered}[/tex]So diameter of a pin-head is 100 times the diameter of water-droplet.
graph they system of linear inequalities. Give two orders pairs that are solutions and two that are not solutions.question 9
Answers
Given the inequality system:
[tex]\begin{cases}y\ge3x+3 \\ y<-2\end{cases}[/tex]To draw the inequalities, first, you have to determine the line that represents the known endpoint of the inequality.
For the first inequality:
[tex]y\ge3x+3[/tex]To draw this line, you have to determine two points of it, plot them and then plot the line. Choose two values of x, replace them in the inequality and calculate the corresponding value of y:
I will use x=1 and x=-1
For x=1
[tex]\begin{gathered} y\ge3x+3 \\ y\ge3\cdot1+3 \\ y\ge3+3 \\ y\ge6 \end{gathered}[/tex]The first ordered pair is (1,6)
For x=-1
[tex]\begin{gathered} y\ge3x+3 \\ y\ge3\cdot(-1)+3 \\ y\ge-3+3 \\ y\ge0 \end{gathered}[/tex]The second ordered pair is (-1,0)
The inequality has the symbol "≥" which indicates that the points on the line are included in the definition of the inequality, when you draw it you have to use a solid line. This symbol also indicates that the inequality includes all values greater than or equal to the given expression, so you have to shade the area above the line.
For the second inequality:
[tex]y<-2[/tex]The inequality indicates all values less than -2, to draw this inequality you have to draw a horizontal line at y=-2, the symbol "<" indicates that -2 is not included in the definition of the inequality, so the line must be a dotted line and you have to shade the area below the line.
As you can see, there is a part where both shaded areas overlap, any point within this area will be a solution for the system.
For example:
2 solutions
(-6,-4)
(-5,-3)
Any point outside the area where both shades overlap will not be a solution of the system:
2 non-solutions
(4,2)
(-4,3)
Write an equation in slope- intercept form for a line thathas a slope of -3 and passes through (-2,7).
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The equation of a straight line in slope intercept form is expressed as
y = mx + c
Where
m represents slope
c represents y intercept.
From the information given,
x = - 2, y = 7 and m = - 3
We would solve for c by substituting these values into the eqation. It becomes
7 = - 3 * - 2 + c
7 = 6 + c
c = 7 - 6
c = 1
Therefore, the equation in slope- intercept form for the line is
y = - 3x + 1
Find the side length of a cube with a volume of 941 cubic metersIf necessary, round your answer to the nearest tenth.
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SOLUTION:
Step 1:
We are given the following:
Find the side length of a cube with a volume of 941 cubic meters.
If necessary, round your answer to the nearest tenth.
Step 2:
The details of the solution are as follows:
[tex]\begin{gathered} Volume\text{ of a cube = length x length x length} \\ Now,\text{ we have that: Volume = 941 m}^3 \end{gathered}[/tex][tex]\begin{gathered} 941\text{ = l x l x l} \\ 941\text{ = l}^3 \\ cube\text{ - root both sides, we have that:} \end{gathered}[/tex][tex]\begin{gathered} l\text{ =}\sqrt[3]{941} \\ l\text{ = 9.799333566} \\ l\approx\text{ 9.8 meters \lparen to the nearest tenth\rparen} \end{gathered}[/tex]CONCLUSION:
The final answer is:
[tex]l\approx\text{ 9.8 meters \lparen to the nearest tenth\rparen}[/tex]Question 5>You deposit $8000 in an account earning 4% interest compounded continuously. The amount of money in theaccount after t years is given by A(t) = 8000e0.04tRound your answer to 2How much will you have in the account in 12 years? $decimal places.years. Round yourHow long will it be until you have $12700 in the account?answer to 2 decimal places.years. RoundHow long does it take for the money in the account to double?your answer to 2 decimal places.Question Help: Video Message instructorSubmit Question
Answers
Given
The amount deposited in the account is $8000.
The rate of interest is, 4%.
The amount of money in the account after t years is,
[tex]A(t)=8000e^{0.04t}[/tex]To find the amount in the account after 12 years.
Explanation:
Since
[tex]A(t)=8000e^{0.04t}[/tex]Then, for t=12 years,
[tex]\begin{gathered} A(12)=8000e^{0.04\times12} \\ =8000\times1.61607 \\ =12,928.5952 \end{gathered}[/tex]Hence, the amount of money in the account after 12 years is $12928.5952.
please help!! asap!!
Answers
(1) You can observe two lines in the graph. Therefore, it is a System of Linear equations.
Since the lines are intersecting each other, then the System of equations has one solution.
The point of intersection is the solution of the System of equations. Knowing this, you can identify it and label it on the graph.
(2) Based on the explained above, you can identify that the solution to the Linear System is the following:
[tex](1,1)[/tex]The answers are:
(1)
(2)
[tex](1,1)[/tex]
A six sided number cube labeled 1 through 6 is rolled 200 times. An even number is rolled 115 times. Compare the theoretical probability of rolling an even number with the relative frequency of rolling an even number and select one of the statements below that best describes the situation. Please provide an explanation and if it is A, B, C, or D.
Answers
The relative frequency can be calculated by making the division of the number of times the cube rolled an even number, and the amount of times the cube was rolled.
The relative frequency is
[tex]\frac{115}{200}[/tex]simplify the fraction
[tex]\frac{23}{40}=0.575[/tex]continue by finding the theorical probability which is found by the outcomes that are according to the statement and the total of possible outcomes
[tex]\begin{gathered} \text{possible outcomes:}\mleft\lbrace1,2,3,4,5,6\mright\rbrace \\ \text{favorable outcomes:}\mleft\lbrace2,4,6\mright\rbrace \end{gathered}[/tex]the theoretical probability is
[tex]\frac{3}{6}=\frac{1}{2}=0.5[/tex]According to this the theoretical probability is smaller than the relative frequency.
Given that f >0 and g > 0, select all expressions that are equivalent to 5fg 15 19 A. 5f2 g 5.392 B. 5(19) – 15g C. 5fgì – 15g D. 59 (11 - 3) E. 59f2 32
Answers
We need to rewrite the expression to see the correct answers:
[tex]\begin{gathered} We\text{ know that:} \\ \sqrt[]{f}=f^{\frac{1}{2}} \\ So, \\ 5\sqrt[]{fg}-15\sqrt[]{g}=5f^{\frac{1}{2}}g^{\frac{1}{2}}-5\cdot3g^{\frac{1}{2}},Option\text{ A is correct.} \\ 5\sqrt[]{fg}-15\sqrt[]{g}=5(fg)^{\frac{1}{2}}-15g^{\frac{1}{2}},\text{ Option B is correct and Option C is INCORRECT.} \\ 5\sqrt[]{fg}-15\sqrt[]{g}=5g^{\frac{1}{2}}(f^{\frac{1}{2}}-3),\text{ Option D is correct and Option E is I}NCORRECT. \end{gathered}[/tex]Options A, B and D are CORRECT, Options C and E are INCORRECT.
Find the volume and total surface area of a right circular cone whose base radius is 15m and whose altitude is 20m.s
Answers
Find the volume and total surface area of a right circular cone whose base radius is 15m and
whose altitude is 20m
Part 1
Find out the volume
Remember that
the formula to calculate the volume of a right circular cone is
[tex]V=\frac{1}{3}\cdot\pi\cdot r^2\cdot h[/tex]we have
r=15 m
h=20 m
substitute
[tex]\begin{gathered} V=\frac{1}{3}\cdot\pi\cdot15^2\cdot20 \\ \\ V=1,500\pi\text{ m3} \end{gathered}[/tex]Part 2
Find out the surface area
the formula is equal to
[tex]SA=\pi\cdot r^2+\pi\cdot L\cdot r[/tex]where
L is slant height
Applying the Pythagorean Theorem
L^2=h^2+r^2
L^2=20^2+15^2
L^2=625
L=25 m
substitute given values
[tex]\begin{gathered} SA=\pi\cdot15^2+\pi\cdot25\cdot20 \\ SA=725\pi\text{ m2} \end{gathered}[/tex]Solve for z,m and p. Type answer as whole number.
Answers
Solution:
Given the right triangle;
The sum of angles in a triangle is 180 degrees. Thus;
[tex]\begin{gathered} z^o+60^o+90^o=180^o \\ \\ z^o=180^o-60^o-90^o \\ \\ z=30^o \end{gathered}[/tex]Using cosine trigonometry ratio;
[tex]\cos\theta=\frac{adjacent}{hypotenuse}[/tex]Given;
[tex]\theta=60^o,adjacent=\sqrt{3},hypotenuse=m[/tex]Thus;
[tex]\begin{gathered} \cos60^o=\frac{\sqrt{3}}{m} \\ \\ m=\frac{\sqrt{3}}{\cos60^o} \\ \\ m=2\sqrt{3} \end{gathered}[/tex]Lastly, using Pythagorean Theorem;
[tex](opposite)^2=(hypotenuse)^2-(adjacent)^2[/tex][tex]\begin{gathered} p^2=m^2-(\sqrt{3})^2 \\ \\ p^2=(2\sqrt{3})^2-(\sqrt{3})^2 \\ \\ p^2=12-3 \\ \\ p^2=9 \\ \\ p=\sqrt{9} \\ \\ p=\pm3 \\ \\ p=3 \end{gathered}[/tex]ANSWERS:
[tex]\begin{gathered} z=30^o \\ \\ m=2\sqrt{3} \\ \\ p=3 \end{gathered}[/tex]
Suppose P(C) = .2, P(M ⋂ C) = .07, and P(M ⋃ C) = .53. Find the indicated probability.2) P[(M)']
Answers
In order to find P[(M)'], we first need to find P(M). We can find it using the following formula:
[tex]P(M\cup C)=P(M)+P(C)-P(M\cap C)[/tex]Using the values provided, we have that:
[tex]\begin{gathered} 0.53=P(M)+0.2-0.07 \\ P(M)=0.53-0.2+0.07 \\ P(M)=0.4 \end{gathered}[/tex]Now, using the formula for complementary events, we have:
[tex]\begin{gathered} P(M)+P(M^{\prime})=1 \\ 0.4+P(M^{\prime})=1 \\ P(M^{\prime})=1-0.4 \\ P(M^{\prime})=0.6 \end{gathered}[/tex]So we have that P[(M)'] = 0.6
Which equation best represents the line of best fit for thescatterplot?
Answers
It is observed that the mean line of the data should pass through the points (3,3), (2,4), (1,5), (0,6), (-1,7).
Consider that the equation of a line passing through two given points is given by,
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]So the equation of the best fit line passing through (3,3) and (0,6) will be,
[tex]\begin{gathered} y-3=\frac{6-3}{0-3}(x-3) \\ y-3=\frac{3}{-3}(x-3) \\ y-3=-(x-3) \\ y-3=-x+3 \\ y=-x+6 \end{gathered}[/tex]Thus, option C is the correct choice.
Newton's law of cooling is T = A * e ^ (- d * i) + C_{i} where T is the temperature of the object at time and C is the constant temperature of the surrounding mediumSuppose that the room temperature is 71and the temperature of a cup of coffee is 172 degrees when it is placed on the table. How long will it take for the coffee to cool to 129 degrees for k = 0.0459279 Round your answer to two decimal places
Answers
Explanation
[tex]\begin{gathered} T=Ae^{-kt}+C \\ 129=172e^{-0.0459279t}+71 \\ switch\text{ sides} \\ 172e^{\left\{-0.0459279t\right\}}+71=129 \\ 172e^{\left\{-0.0459279t\right\}}=129-71 \\ 172e^{\left\{-0.0459279t\right\}}=58 \\ Divide\text{ both sides by 172} \\ \frac{172e^{-0.0459279t}}{172}=\frac{58}{172} \\ e^{-0.0459279t}=\frac{29}{86} \\ Apply\text{ exponent rules} \\ -0.0459279t=\ln \left(\frac{29}{86}\right) \\ t=-\frac{\ln \left(\frac{29}{86}\right)}{0.0459279} \\ t=23.67\text{ minutes} \end{gathered}[/tex]Answer: 23.67 minutes
You have prizes to reveall Go to your game board. *On a hot day, Gordon poured 2 buckets of water into a plastic wading pool. A few minuteslater he added another 4/5 of a bucket. How much water did Gordon pour into the pool?Write your answer as a fraction or as a whole or mixed number.
Answers
Gordon put 2 buckets of water and then 4/5 of a bucket of water.
If you add them you get that
The 2 buckets represent "wholes", you can express them as fractions, using the same denominator as the given fraction.
1 whole can be expressed as 5/5
2 wholes is then 10/5
Now add both measures:
[tex]\frac{10}{5}+\frac{4}{5}=\frac{10+4}{5}=\frac{14}{5}[/tex]You can express the answer
[tex]\frac{14}{5}\text{ or 2}\frac{4}{5}[/tex]Buckets of water
Consider the given right triangle. The side with length ___ units corresponds to the 19° angle.
Answers
Given a triangle of the form:
We can conclude the side with length 8 units corresponds to the 19⁰ angle
Question 5If there is a low outlier in a data set ( one of the data values is less than Q1 -1.5xQR), then the linethat extends down from the box extends from Q1 and ends at the smallest data value that is not anoutlier.A-FalseB-True
Answers
An outlier can be said to be any value that is far from every other values in a data set.
In a boxplot, if there is a low outlier where one of the data values is less than Q1 - 1.5xQR, then the line that extends down from the box extends from Q1 and ends at the smallest data value that is not an outlier.
This statement is correct.
The line that extends from quartile 1(Q1), will end at the smallest data value which is before the low outlier. The line from Q1 will not extend to the low outlier.
We have a graphical representation below:
Therefore, we can say the statement ''If there is a low outlier in a data set ( one of the data values is less than Q1 -1.5xQR), then the line that extends down from the box extends from Q1 and ends at the smallest data value that is not an outlier'' is TRUE.
ANSWER:
B- True.
-8x + y = -6 -4x - 2y = 12
Answers
12 = -8x + y
and
12= -6 - 4x - 2y
By substraction eliminate y ,multiplying by 2
24 = -16x + 2y
12 + 6 = -4x - 2y
Then
24 + 18 = -20x
42/-20= x
21/-10= x
Now find y
y= 12 + 8x = 12 + 8(-21/10)
y= 12- 16.8 = -4.8
So then answers are
x= -21/10
y= -4.8
What in the name is even what? I’m so concerned
Answers
Answer:
• (a)11 points per game
,• (b)y=11x
,• (c)55 points
Explanation:
Anna scores 33 points in 3 basketball games.
(a)First, determine the rate.
Divide the number of points by the number of games played.
[tex]\frac{33\text{ points}}{3\text{ games}}=11\text{ points per game}[/tex]Anna scores 11 points per game.
(b)Let the number of games played = x
An equation to represent the relationship between x and the number of points is:
[tex]y=11x[/tex](c)When the number of games played = 5
[tex]\text{ The number of points, }y=11\times5=5\text{ points}[/tex]Anna will score 55 points in 5 games.
How do I solve the total surface area of this diagram?.
Answers
First, let's divide our solid into two parts:
1. A parallelepiped without the top face
The faces of this portion of the solid would be:
• 2, square faces measuring 4cm x 4cm each
,• 3 ,rectangular faces measuring 4cm x 20cm each
Therefore, the surface area of this portion would be:
[tex]2(4cm\cdot4cm)+3(4cm\cdot20cm)=272\operatorname{cm}^2[/tex]2. Half a cylinder
We know that the surface area of a cylinder is:
[tex]2\pi rh+2\pi r^2[/tex]If we divide it by two, we'll get the surface area of the half cylinder we need:
[tex]\frac{2\pi rh+2\pi r^2}{2}\rightarrow\pi rh+\pi r^2[/tex]Now, from the figure we can conclude that the diameter is 4 cm. Therefore, the radius would be 2 cm. Also, the height of this semicylinder is 20cm. Using this data, we'll have that the surface area for this part of the solid would be:
[tex]\begin{gathered} \pi rh+\pi r^2\rightarrow\pi\cdot(2cm)\cdot(20cm)+\pi(2\operatorname{cm})^2 \\ \Rightarrow138.23\operatorname{cm}^2 \end{gathered}[/tex]Now, to get the total surface area of this solid, we'll need to add up the two results we just got:
[tex]272\operatorname{cm}+138.23\operatorname{cm}=410.23\operatorname{cm}^2[/tex]Therefore, we can conclude that the surface area of the solid is:
[tex]410.23\operatorname{cm}^2[/tex]When the point ( Square 3,2) is reflected across the Y axis what is the resulting image
Answers
Step 1:
The rule for a reflection over the y -axis is (x,y)→(−x,y) .
Step 2:
When a point (3, 2) is reflected over the y-axis, the x-coordinate will change from positive 3 to negative 3 while the y-coordinate remains unchanged.
Step 3
Coordinates of the pre-image = ( 3, 2 )
Coordinates of the image = ( -3 , 2 )
Final answer
Resulting image = ( -3 , 2 )
How many faces does a polyhedron have if ithas 8 vertices and 12 edges?
Answers
Answer:
6 faces
Explanation:
The relationship between the number of faces, edges, and vertices in a polyhedron is represented by Euler's Formula:
[tex]F+V-E=2,where\begin{cases}{{\text{F = number of faces}}} \\ {\text{V = number of vertices}} \\ {\text{E = number of edges}}\end{cases}[/tex]Given a polyhedron in which:
• V=8
,• E=12
Substitute into the formula above:
[tex]\begin{gathered} F+8-12=2 \\ F-4=2 \\ F=2+4 \\ F=6 \end{gathered}[/tex]A polyhedron with 8 vertices and 12 edges will have 6 faces.
Which set of points represents a function? O {(1, -2), (3,-5),(3,-2),(5, -7), (7,-8)} CALCULATOR INACTIVE DIRECTIONS FOR THE CALCULATOR INACTIVE SECTION OF THE TEST: • Calculators may not be used during this test. • Read each problem carefully. • Choose the best answer from the choices given. Fractions in some answer choices may have been simplified. Check each answer choice to see if this has been done. Diagrams used in the test may not be drawn to scale. . At this time, you can check your answers for THIS SECTION ONLY. O {(0,1),(1,-3),(2,-5), (3,-7),(4,-9)} O O {(-1,1),(-1,3),(-1,5),(-1,7),(-1,9)} O O {(-4,0),(-3,-1),(-3,1),(0,2), (0,2)}
Answers
The sets of point in option B is a function
Explanation:For a set of points or ordered pairs to be a function, it must have only one input and only one output for each of the input.
a) for the first, input 3 has two outputs (-5 and - 3).
Hence, it is not a function
b) Each of the input has only one output
Hence, it is a function
c) The input -1 has 5 outputs (1, 3, 5, 7, 9).
Hence, it is not a function
d) -3 has two outputs (-1 and 1)
Hence, it is not a function
Show tan (x) + cot (x) • sec(x)
Answers
Let us change tan x and cot x to sin x and cos x
[tex]\begin{gathered} \because\tan x=\frac{\sin x}{\cos x} \\ \because\cot x=\frac{\cos x}{\sin x} \end{gathered}[/tex]Substitute them on the left side
[tex]LHS=\frac{\sin x}{\cos x}+\frac{\cos x}{\sin x}=\frac{\sin^2x+cox^2x}{\cos x\sin x}[/tex]I multiplied the denominators and multiply each numerator by the opposite denominator
[tex]\because\sin ^2x+cox^2x=1[/tex][tex]\therefore L.H.S=\frac{1}{\sin x\cos x}[/tex]Now we will work on the right hand side
[tex]\begin{gathered} \because\csc x=\frac{1}{\sin x} \\ \because\sec x=\frac{1}{\cos x} \end{gathered}[/tex]Substitute them on the right side
[tex]\because R.H.S=\frac{1}{\sin x}\times\frac{1}{\cos x}=\frac{1}{\sin x\cos x}[/tex]The L.H.S = R.H.S = 1/(sin x cos x)
I think its the answer in blue, but I'm not 100% so I need someone to confirm. Please and thank you.
Answers
Anser:
First option, substract 3 from both sides to get x = 5
fill in th blank. in any circle it takes diameters to equal the circumference a. 3 1/14 brainly
Answers
Given the following statement:
In any circle, it takes ------ diameters to equal the circumference
As we know, the circumference = 2πr = π d
So, the answer will be π which is ≈ 3.142
The decimal part = 0.142 ≈ 1/7
So, the answer will be option B. about 3 1/7