The trigonometric function gives the ratio of different sides of a right-angle triangle. The value of Cosec A is (√61)/(6).
What are Trigonometric functions?The trigonometric function gives the ratio of different sides of a right-angle triangle.
[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}\\\\\\Cosec \theta=\dfrac{Hypotenuse}{Perpendicular}\\\\\\Sec \theta=\dfrac{Hypotenuse}{Base}\\\\\\Cot \theta=\dfrac{Base}{Perpendicular}\\\\\\[/tex]
where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.
The Cot is the ratio of the base of the triangle to the perpendicular side of the triangle, therefore, we can write,
Cot A = Base/Perpendicular = 5/6
Thus, the base of the triangle is 5 units, while the length of the perpendicular of the triangle is 6 units. Now the length of the hypotenuse side of the triangle is,
H² = 5² + 6²
H² = 25 + 36
H = √61
Now, the value of Cosec A can be written as,
Cosec A = Hypotenuse/Perpendicular = (√61) / (6)
Hence, the value of Cosec A is (√61)/(6).
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If a boat goes down stream 72 milesind upstream 60 miles in 6 hours, the rate of the river and the rate of the boat in still water respectively are
Answer:
Speed of boat in still water = 11 miles per hour.
Step-by-step explanation:
Speed = distance / time
or
Distance= Speed * time
Let s be speed of the boat upstream and r be the speed of the river.
Then
Upstream speed= s- r = 60/6= 10 miles per hour
Downstream speed= s+r= 72/6= 12 miles per hour
Therefore
s-r= 10--------- equation A
s+r= 12--------- equation B
Adding equation A and Eq. b
s-r= 10--------- equation A
s+r= 12--------- equation B
2s = 22
or
s= 22/2= 11 miles per hour.
Speed of boat in still water = 11 miles per hour.
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Answer:
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Step-by-step explanation:
A certain factory produces and sells C computers per month. It costs x dollars to produce a single computer, and the factory sells each computer for y dollars. Their monthly net profit is 10,000 dollars.
Write an equation that relates C, x, and y.
Answer:Cy-Cx=10,000
Step-by-step explanation:
Answer:
Cy-Cx=10000
Step-by-step explanation:
find the area of a rectangle that has a length of 4ab^2 and a width of 6a^2b
Answer:
Step-by-step explanation:
∵A= l×b
⇒A= 4ab^2 × 6a^2b
⇒A= 24a^2b+1×b^2
Explanation: When multiplying indices, add the exponents of similar bases (that is, a^2×a = a^2+a^1 =a³) thus a^2b+1.
I hope this helped.
Complete the table of values for y = 0.5x + 1
can you help?
hope the answer can help you.
Answer:
x is -2, -1, 0, 1, 2 and y is 0, 0.5, 1, 1.5, 2
When you divide both sides of an inequality by a negative number, you need to _____ the inequality symbol.
A. flip
B. eliminate
C. raise
D. multiply
Answer:
The correct option is option;
A. Flip
Step-by-step explanation:
When both sides of an inequality is divided by a negative number, it changes the sign of both numbers while their magnitude remain the same;
Therefore, if the right hand side of the inequality is lesser than the left hand side, when the signs of the left and right hand sides of the inequality changes after a division , by a negative number, we have;
The smaller right hand side of the inequality will then have a lesser negative magnitude than the left hand side of the inequality with a higher negative value and the left hand side (with the higher negative value) becomes lesser than the right and therefore, the symbol (sign) of the inequality is flipped
Therefore, when you divide both sides of an inequality by a negative number, you need to flip the inequality symbol.
Which number is equivalent to 4.7
how do you solve this help
Answer:
arc PST = 254°
Step-by-step explanation:
arc QPT = 180° because it is a diameter
arc PQ = 74°
arc PT = 180° - 74° = 106°
arc PST = 360° - 106° = 254°
Grant is making hot dogs for a picnic. Hot dogs come in packages of 8. Hot dog buns come in packages of 12. What is the least number of packages of hot dogs and packages of hot dog buns, can Grant buy so that he has the same number of servings of each?
Answer:
6 hot dog packages and 4 hot dog buns packages.
Step-by-step explanation:
12 x 4 = 48
8 x 6 = 48
Answer:
3 hot dogs and 2 buns
Step-by-step explanation:
Multiply hot dogs until you get a multiple of 12 for this the lowest common multiple is 24
PLZ HELP!!!!!!! NO LINKS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
i can't see clear
what do you do on this i need it asap 40 + 56 ÷ p - q
Answer:
40 + 56/p - q
Step-by-step explanation:
This equation is weird. Your answer should be 40 + 56/p - q
The only thing that would change is writing "56 ÷ p" as a fraction.
Now, here's the weird part.
If you try to solve it after rewriting "56 ÷ p" as a fraction, your answer would look like this:
40p + 56 − qp
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
p
Unless you have a math-based keyboard that would write 40p + 56 − qp over p as a fraction formatted like the equation shown above (instead of having to put a bunch of dashes so it looks like a long fraction line), then I'd stick with just typing 40 + 56/p - q.
A triangle has angle measurements of 50°, 50°, and 80°. What kind of triangle is it?
Answer:
I would guess an Acute triangle
Step-by-step explanation
because all 3 sides are under 90 degrees so it cant be a right and its very close in size so its rather acute and if not its Isosceles.
Answer:
acute triangle
Step-by-step explanation:
three angles are under 90°
A(2, 4) , B(4,0) & D(-4, 0). Here, the x- and y-coordinates are measured in meters. What is the area of the plot of land?
Answer:
[tex]Area = 16[/tex]
Step-by-step explanation:
Given
[tex]A = (2,4)[/tex]
[tex]B = (4,0)[/tex]
[tex]D = (-4,0)[/tex]
Required
The area of the plot
The given coordinates show a triangle; and the area is calculated as:
[tex]Area = \frac{1}{2}|x_1y_2 - x_2y_1 + x_2y_3 - x_3y_2 + x_3y_1 - x_1y_3|[/tex]
[tex]Area = \frac{1}{2}|2*0 - 4*4 + 4*0 - -4*0 + -4*4 - 2*0|[/tex]
[tex]Area = \frac{1}{2}|-16 + 0 -16|[/tex]
[tex]Area = \frac{1}{2}|-32|[/tex]
[tex]Area = \frac{1}{2}*32[/tex]
[tex]Area = 16[/tex]
Which could describe the three angles of a triangle?
Two acute angles and one right angle
One acute angle and two right angles
One acute angles and two obtuse angles
One acute angle, one obtuse angle, and one right angle ??
Answer:
I would think it would be Two acute angles and one right angle.
Step-by-step explanation:
How I would describe the three angles of a triangle is two acute angles and one right angle.
What is a triangle?
A triangle is a three-sided polygon with three edges and three vertices. the sum of angles in a triangle is 180 degrees.
A right triangle is made up of a right angle and two acute angles. A right angle has a value of 90 degrees and an acute angle has a value that is less than 90 degrees.
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which values are solutions to the equation below?
b^2 = 18
select all that apply
A. -√18
B. √324
C. -9
D. √18
E. 9
F. -√324
Answer:
A , D
Step-by-step explanation:
hello :
b= √18 because : (√18)² =18
b= - √18 because : (-√18)² =18
Christine is 8 years younger than yuri. Express christine's age in terms of yuri's age
A- 57 7/9 ft. 3
B- 11 2/3 ft 3
48 2/9 ft 3
28 2/3 ft 3
Answer:
A. 57 7/9
Step-by-step explanation:
First you multiply 13/3 (the length) by 10/3 (the width). You get 130/9. You then multiply 130/9 (the base) by 12/3 which equals 1560/27.
1560/27 can be simplified to 57.7777778, which in turn converts to 57 7/9.
57 7/9 is the final answer.
Write 10^-7 as a fraction
Answer:
-10000000/1 or 10^-7/1
Step-by-step explanation:
You can divide anything by 1 to make a fraction.
Have a nice day!
The volume of the figure
Answer:
beeep
Step-by-step explanation:
hoonk
buuurp buuuurp
Solve for X (Geometry) Need some help ASAP
Given:
The figure of a right triangle.
To find:
The measure of x.
Solution:
According to the altitude on hypotenuse theorem, the length of the altitude is the geometric mean of segments of the hypotenuse.
Let "h" be the height of the altitude and it divides the hypotenuse if two pieces of lengths "a" and "b", then
[tex]h=\sqrt{ab}[/tex]
In the given figure, 14 is the height of the altitude and it divides the hypotenuse if two pieces of lengths 24 and x. So, by using the altitude on hypotenuse theorem, we get
[tex]14=\sqrt{24x}[/tex]
Taking square on both sides.
[tex]196=24x[/tex]
[tex]\dfrac{196}{24}=x[/tex]
[tex]\dfrac{49}{6}=x[/tex]
Therefore, the value of x is [tex]\dfrac{49}{6}[/tex] units and its approximate value is 8.167 units.
please help me guys
Which linear equation represents the data in the accompanying table?
Answer:
2) d = 1.50c + 20.00
a cylinder with height 8 units has a volume of 72 cubic units. what is the radius of the cylinder?
Answer:
r= 1.69
Step-by-step explanation:
Two planes Intersect in a ___
A. point
B. ray
C. line
D. line segment
Answer:
C.The answer is line
Step-by-step explanation:
Answer:
If two planes are not parallel or coincident, then their intersection is a line.
Step-by-step explanation:
sally buys 10kg of sweets.
Answer:
150%
Step-by-step explanation:
Purchase Cost= £12 for 10kg
Sales
1 bag= 200g
200g=1 bag
1 g= 1/200 bag
10000g or 10kg= 1/200 * 10000 = 50 Bags
1 Bag = 0.60
50 Bags= 0.60*50= £30
Profit= £30- £12= 18
% Profit= 18/12 *100
=150%
how many rectangles can be made with an area of 144cm whose sides are whole numbers? PLSSS Helpp!
Amir bought 3 2/3 pounds of rice.Owen bought 1 1/2 times as much as Amir.How many pounds of rice did Owen buy?
Answer:
5.49 pounds
Step-by-step explanation:
Given data
Amir bought 3 2/3 pounds of rice= 11/3 pounds= 3.66 pounds
Owen bought 1 1/2 times or 1.5 times as much as Amir bought
Hence 1.5 time of 3.66
=1.5*3.66
=5.49 pounds in decimal
1. A triangle has two angles that measure 52 degrees and 31 degrees.
What is the measurement of the third angle?
Answer:
86 degrees
Step-by-step explanation:
Interior degrees of a triangle always add up to 180 degrees
What you would do is add the first two (52+31 = 84)
Subtract this number from 180 to get your remaining degrees
86 degrees
how to calculate the difference in time between 5:44 and 11:49
Answer:
minutes seperately and hours seperately
6:05 is the time difference
Step-by-step explanation:
What value of w makes the equation 3(-4W - 5) = -7(5 + w) true?
Answer: W= 4
Step-by-step explanation:
The value of w will be 4.
What is substitution method?
To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.
Given that;
The expression is;
3(-4W - 5) = -7(5 + w)
Now, Solve the expression as;
3(-4W - 5) = -7(5 + w)
3 × -4w - 3 × 5 = -7 × 5 + (-7) × w
-12w - 15 = -35 - 7w
Add 12w both side;
-12w - 15 + 12w = -35 - 7w + 12w
- 15 = 5w - 35
Add 35 we get;
- 15 + 35 = 5w - 35 + 35
20 = 5w
5w = 20
Divide 5 both side;
w = 4
Thus, The value of w will be 4.
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What is the powerhouse of the cell?
:)
Answer:
Mitochondria are tiny organelles inside cells that are involved in releasing energy from food. This process is known as cellular respiration. It is for this reason that mitochondria are often referred to as the powerhouses of the cell.
Step-by-step explanation:
Answer:
Mitochondria are tiny organelles inside cells that are involved in releasing energy from food. This process is known as cellular respiration. It is for this reason that mitochondria are often referred to as the powerhouses of the cellMitochondria are tiny organelles inside cells that are involved in releasing energy from food. This process is known as cellular respiration. It is for this reason that mitochondria are often referred to as the powerhouses of the cell
Step-by-step explanation: