Answer:
Funciones trigonométricas de μ
sen (μ) = b/ √(a^2+ b^2)
cos (μ) = a/ √(a^2+ b^2)
tan (μ) = b/ a
cot (μ) = a/ b
sec (μ) = √(a^2+ b^2) / a
csc (μ) = √(a^2+ b^2) /b
Step-by-step explanation:
Ya que no proportionaste el valor de cot μ podemos suponer un valor = a/b para que tengas una respuesta general y reemplaces el valor de a y b de acuerdo con tu caso.
cot (μ) = a/b
_______________________________
Funciones trigonométricas
sen (μ) = cateto opuesto/ hipotenusa
cos (μ) = cateto adyacente/ hipotenusa
tan (μ) = cateto opuesto/ cateto adyacente
cot (μ) = cateto adyacente/ cateto opuesto
sec (μ) = hipotenusa / cateto adyacente
csc (μ) = hipotenusa /cateto opuesto
cot (μ) = cateto adyacente/ cateto opuesto = cot (μ) = a/ b
Por lo tanto:
Cateto adyacente = a
Cateto opuesto = b
Hipotenusa
H^2 = Cateto adyacente^2 + Cateto opuesto^2
H= √(a^2+ b^2)
Reemplaznado los valores de los catetos y la hipotenusa se obteienen los valores de las funciones trigonométricas de μ.
Use proportion to work out these problems.
In each question assume that the rate stays the same.
1 A car uses 20 litres of petrol to travel 160 km.
How much petrol does the car use to travel 400 km?
Answer:
50 litres
Step-by-step explanation:
If you think of it as a ratio, there are 20 litres to every 160 km. There are __ litres to every 400 km. To get to 400, 160 is multiplied by 2.5
So multiply 20 by the same number and you get the number of litres for 400 km.
20 * 2.5 = 50
What is the domain of the following graph?
Answer:
(-5, 5)
Step-by-step explanation:
A graph exists only for (-5, 5). This is the domain.
I need to find the volume
Answer:
343 in
Step-by-step explanation:
Volume = Length × width × height
Volume = 7 × 7 × 7
Volume = 343
FInd the values of x and y.
Answer:
x = 12 and y = 60°
Step-by-step explanation:
As we can see it is parallelogram as the opposite sides are parallel
so,
y = 60° {opposite angles of a parallelogram are equal }
x + 3 = 15 (opposite sides of a parallelogram are equal)
x = 15 - 3
x = 12
Hope it will help :)❤
write the product in standard form: (3y-5)(3y+5)
Answer:
9y^2 - 25
Step-by-step explanation:
This is the product of the sum and difference of two squares:
(a - b)(a + b) = a^2 - b^2 (a formula well worth memorizing)
Therefore, (3y - 5)(3y + 5) = 9y^2 - 25, which is in standard form.
For a given geometric sequence, the 9th term, a9, is equal to 43/256 and the 14th term, a14, is equal to 172. Find the value of the 18 term
Answer:
[tex]18th=44032[/tex]
Step-by-step explanation:
From the question we are told that:
9th term [tex]a9=\frac{43}{256}[/tex]
14th term [tex]a14=172[/tex]
Generally the equation for Geometric sequence is mathematically given by
[tex]a_n=a_1r^{n-1}[/tex]
For 9th term
[tex]\frac{43}{256}=a_1r^{8}[/tex]
For 14th term
[tex]172=a_1r^{13} \\a_1=\frac{172}{r^13}[/tex]
Substitute in 9th term
[tex]\frac{43}{256}=\frac{172}{r^13}*r^{8}[/tex]
[tex]\frac{43}{256*172}=r^{-5}[/tex]
[tex]r=^5sqrt{\frac{44032}{43}}[/tex]
[tex]r=4[/tex]
Therefore First term a is given as
[tex]a_1=\frac{172}{4^13}[/tex]
[tex]a_1=2.563*10^{-6}[/tex]
Generally the equation for the 18th term is mathematically given by
[tex]18th=a_1r^{17}[/tex]
[tex]18th=2.563*10^{-6}*4^{17}[/tex]
[tex]18th=44032[/tex]
what is the vertex form of y=x^2+4x minus 7
Answer: Hello Luv........
Complete the square to find the vertex:
(−2,−11)
Step-by-step explanation:
y=x2+4x−7
=x2+4x+4−11
=(x+2)2−11
Mark me brainest please.
Hope this helps!
Anna ♥
Is 4=5 I know it sounds not to smart just trying to prove a friend wrong
HELP PLEASE I SUCK AT THIS!<3
Find the slope of a line through the points: (1,6) and (2,8).
Find the y-intercept of the line y= 1/2x + 2
Can someone helpp me with this. I need this plzz. But it is for mathh.
Answer:
the value of the independent variable is 6
Answer:
6
Step-by-step explanation:
they are pretty much telling you to find the x-coordinate.
it is independent because the days do not depend on what the mass is, but the mass depends on what day it is.
sorry if this is confusing, have a good day!
How do you know the that two triangles are similar?
Answer:
Because if two pairs of corresponding angles in a pair of triangles are congruent, then the triangles are similar
Step-by-step explanation:
Answer: they look similar
Step-by-step explanation: to try to figure it out rotate one triangle to make it look identical :)
Find the surface area of the cone. Round your answer to the nearest tenth.
Answer:
209.2
Step-by-step explanation:
Determine the value of the variable that makes the equation true 1 /3a=−5
Answer:
a = -1/15
Step-by-step explanation:
1 / 3a = -5
3a = 1 / -5
3a = -1/5
a = (-1/5) / 3
a = -1/15
Hope that helps! :)
-Aphrodite
What do the following two equations represent?
Answer:
C)
Step-by-step explanation:
What is the missing angle
measure?
Answer:
x = 136º
Step-by-step explanation:
x = 180 - (29 + 15)
x = 180 - 44
x = 136
Hope that helps! :)
-Aphrodite
The distance s s that an object falls varies directly with the square of time, t t, of the fall. If an object falls 16 16 feet in one second, how long for it to fall 256 256 feet
Answer:
It will take 16 seconds to fall 256 feet.
Step-by-step explanation:
The distance s that an object falls varies directly with the square of time t of the fall i.e.
[tex]s=kt[/tex]
Where
k is the constant of proportionality
An object falls 16 feet in one second, it means,
16 feet = 1 second
1 feet = (1/16) seconds
To fall 256 feet,
[tex]t=\dfrac{256}{16}\\\\t=16\ s[/tex]
So, it will take 16 seconds to fall 256 feet.
help me with this and I give you the brainliest
Answer:
1) supplementary angles
2) corresponding angles
3) corresponding angles
4) same-side exterior angles
5) corresponding angles
6) supplementary angles
7) 140°
8) 140°
Mark as brainliest please
Solve it
[tex] \sf \: 5(x - 9) + 3(x + 4) = 2(x - 6)[/tex]
Answer:
[tex] \huge{x = \frac{7}{2} }[/tex]
Step-by-step explanation:
5(x - 9) + 3(x + 4) = 2(x - 6)
First expand the terms in the bracket
That's
5x - 45 + 3x + 12 = 2x - 12
Simplify
8x - 33 = 2x - 12
8x - 2x = 33 - 12
6x = 21
Divide both sides by 6
[tex] \frac{6x}{6} = \frac{21}{6} \\ x = \frac{21}{6} [/tex]
Simplify
We have the final answer as
[tex]x = \frac{7}{2} \\ [/tex]
Hope this helps you
Answer:
x=3.5
Step-by-step explanation:
5(x-9)+3(x+4)=2(x-6)
5x-45+3x+12=2x-12
8x-33=2x-12
8x-2x=-12+33
6x=21
x=21÷6
=3.5
Hope it helps!!!
what is 20 percent of 9,500
Answer:
1900
Step-by-step explanation:
Use the net to find the size of the base and the height of each triangular face of this square pyramid. Enter your answers in the boxes.
Answer:
The answer is below
Step-by-step explanation:
The size of each box in the grid is 1 unit by 1 unit.
From the image, we can see that the size of the base of the square pyramid is 4 units by 4 units, hence:
Area of the base = 4 units * 4 units = 16 unit²
Also, as shown in the image, all the triangular face of the square pyramid are of the same size. the distance from the middle of the triangle base to the top of the vertex of the triangle is considered to be the height of the triangle. Hence, the height of each triangular face = 2 units
can someone help me with my math pls
Answer:
Both 4x^2 and 64 are perfect squares
Step-by-step explanation:
If you are looking for the difference of squares, the two terms both have to be squares. We know that 64 is a square because it is 8 x 8. Also, we can say 4x^2 is a square because it can also be written as (2x)^2. We are basically looking for an option that tells us that they are square. This is option 1.
The second option is invalid because being an even number does not mean the number is a square.
The third option does not help the case much either. Just because there is a common perfect square factor, does not mean the numbers themselves are perfects squares.
PLEASE HELP!!! IM DESPERATE!!! NO LINKS!!! If you place a 36-foot ladder against the top of a building and the bottom of the ladder is 32 feet from the bottom of the building, how tall is the building? Round to the nearest tenth of a foot.
Answer:
16.5 feet is the height of the house.
Express your answer as a mixed number in simplest form
Answer:
3×2+1 - 2×3+1
2. 3
7. - 7
2. 3
21-14
6
7
6
=2 3
7
Answer:
the answer is 7/6 it doesn't give a whole number
Solve – x2 + 5x – 2 = x2 - x by graphing. Round your answers to the nearest hundredth, if necessary.
The solutions are x =
and x =
Answer:
[tex] {}^{6} \sqrt{3a} = {}^{6} \sqrt{3a} \\ {}^{3} \sqrt{5a} = {}^{6} \sqrt{5 {}^{2} } a {}^{2} = {}^{6} \sqrt{25} \\ \sqrt{za} = {}^{6} \sqrt{2 {}^{3} } a {}^{3} = {}^{6} \sqrt{8a {}^{3} } [/tex]
Solve for y.
y y
—— = ——
P-9 P+9
9514 1404 393
Answer:
y = 0
Step-by-step explanation:
Subtracting the right side gives ...
[tex]\dfrac{y}{P-9}-\dfrac{y}{P+9}=0\\\\y\left(\dfrac{(P+9)-(P-9)}{P^2-81}\right)=0\\\\y\left(\dfrac{18}{P^2-81}\right)=0\\\\\boxed{y=0}[/tex]
The factor multiplying y cannot be zero, so y must be zero.
To the nearest gallon, what is the volume of a cylindrical water heater 1.4 feet in diameter and 4 feet tall (1 cubic foot=7.48 gallons)
The answer would be 46 gal.
Please help meeeeee I’m desperate
Answer:
C
Step-by-step explanation:
Answer:
f^-1(x) = [tex]\frac{x+6}{5}[/tex]
Step-by-step explanation:
5x inverse would be [tex]\frac{x}{5}[/tex] and -6 inversed would be 6.
Since the 5 is a denominator, it would carry for the equation so your answer should be [tex]\frac{x+6}{5}[/tex].
There are 4 blocks in the top of first tier of a pyramid. 8 blocks in the second tier. 16 in the third tier. 32 in the fourth tier. How many in the 12 tier?
Answer: 8192
Step-by-step explanation:
If you want to use an equation, the equation to solve this problem is 4 • (2^x-1).
You're looking for the 12th row so replace 12 for x.
4 • (2^11) = 8192
in a football game, josh lost 19 yards in the 1st play, gained 5 yards in the 2nd play gained 6 4th play. Which answer choice represents his TOTAL yardage for all 4 plays
answers in picture
Answer:
the second one
Step-by-step explanation: