Answer:
a) 9.135
b) 392.79
Step-by-step explanation:
Hope my answers are helpful
I need this answer quickly
9=5-x÷2
x=23
23-5=18÷2=9
Un arco de 50 m de longitud subtiende un ángulo central θ en un círculo de 35 m de radio. Encuentre la medida de θ.
Answer:
θ = 81.89°
Step-by-step explanation:
Si tenemos un círculo de radio R, el perímetro de este círculo estará dado por:
P = 2*pi*R
donde pi = 3.14
Ahora, si en lugar de el círculo completo solo queremos la longitud de un dado arco, definido por un ángulo θ, el largo de ese arco estará dado por:
L = (θ/360°)*2*pi*R
Notar que cuando θ = 360° (es decir, el ángulo del círculo completo) el largo del arco será igual que el perímetro, lo cual deberíamos esperar.
Ahora sabemos que:
El arco tiene 50m de longitud.
El radio del círculo es 35m
queremos encontrar el valor de θ
Reemplazando esos valores en la ecuación de arriba obtenemos:
50m = (θ/360°)*2*3.14*35m
Ahora solo debemos resolver esto para θ
50m = (θ/360°)*219.8m
(50m/219.8m) = (θ/360°)
(50m/219.8m)*360° = θ = 81.89°
What is the simplest radical form of the expression?
(8x^7y^4)^2/3
Answer:
[tex]4x^4y^2\sqrt[3]{x^2y^2}[/tex]
Step-by-step explanation:
Recall that [tex]a^{(\frac{b}{c})}=\sqrt[c]{a^b}[/tex].
Therefore, we have:
[tex](8x^7y^4)^{\frac{2}{3}}=\sqrt[3]{(8x^7y^4)^2}[/tex]
Use the exponent property [tex](a^b)^c=a^{(b\cdot c)}[/tex] to simplify:
[tex](8x^7y^4)^{\frac{2}{3}}=\sqrt[3]{(8x^7y^4)^2}=\sqrt[3]{64x^{14}y^8}=\boxed{4x^4y^2\sqrt[3]{x^2y^2}}[/tex]
What is the Answer???
Answer:1 min
Step-by-step explanation:
someone please help
Answer:
sqrt(106) =c
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
5^2 +9^2 = c^2
25+81 = c^2
106 = c^2
Taking the square root of each side
sqrt(106)= sqrt(c^2)
sqrt(106) =c
Answer:
Length of missing side is 10.44/ √106.
Step-by-step explanation:
Here we have
A right triangle with
1st side = a = 5
2nd sidd = b = 9
and , we need to find 3rd side of triangle
let the 3rd side be x.
Using Pythagoras theorem
a ² + b ² = c ²
( 5 ) ² + ( 9 ) ² = ( c)²
25 + 81 = ( c) ²
106 = ( c) ²
Taking square root of each side
√106 = √ c ²
√106 = c
10.44 = c
So, missing side if triangle is 10.44 /√106.
Find the exact value of cos2theta if sin2theta=3/4 and theta is between 0 and 90 degree
[tex] \boxed{ \boxed{ \cos {}^{2} ( \theta) = \dfrac{1}{4} }}[/tex]
Solution :According to a Trigonometric Identity :
[tex] \hookrightarrow \mathrm{\sin {}^{2} ( \theta) + \cos {}^{2} ( \theta) = 1}[/tex]
Now, let's solve for [tex] \cos²(\theta)[/tex]
[tex] \longrightarrow \dfrac{3}{4} + \cos {}^{2} ( \theta) = 1[/tex]
[tex] \longrightarrow \cos{}^{2}( \theta) = 1 - \dfrac{3}{4} [/tex]
[tex]\longrightarrow \cos {}^{2} ( \theta) = \dfrac{4 - 3}{4} [/tex]
[tex]\longrightarrow \cos {}^{2} ( \theta) = \dfrac{1}{4} [/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{hope \: \: it \: \: helps \: \: you.....}}{\orange{}}}}}[/tex]
Which expression is equivalent to - 5 over 3
Use pascal triangle to expand and simplify (5x+4y)³
Answer:
125x³+240xy²+64y³ +300yx²
Step-by-step explanation:
Row of pascals triangle to use is 1 3 3 1
For binomial expansion, use a³ +3a²b+3ab²+b³
what is 200x149 who can answer that for me i need help on this my teacher said i cant use couculater
Answer:
29,800
Step-by-step explanation:
that will be 149 x 2 which equals 298
149
×2 Multiply 9 × 2 = 18
------ Keep the 8 carry the 1 multiply 4 by 2 then add 1 finally multiply 2 by 1
298
Then add two zeros at the end since we're multiplying a number with two zeros. (This method only works for numbers that end with zeros)
Final answer: 29800
For what value of x is
896Z15
225 25
11
XV14z? Assume z+0.
Answer: Value of x is, 8
Step-by-step explanation:
Given: ,.....[1]
To find the value of x:
Using exponent rules:
Taking square both sides in [1] we have;
Simplify:
or
Multiply both sides by we get;
Simplify:
or
Simplify:
x = 8
Therefore, the value of x is, 8
A sandwich shop offers 6 different types of bread, 4 different
types of meat, and 3 different types of toppings. A sandwich
is made with 1 type of bread, 1 type of meat, and 1 topping.
How many different kinds of sandwiches are there?
Answer:
36
Step-by-step explanation:
72 different kinds of sandwiches can be made using 6 different types of bread, 4 different types of meat, and 3 different types of toppings
Given :
A sandwich shop offers 6 different types of bread, 4 different types of meat, and 3 different types of toppings
bread = 6 , meat=4, toppings=3
Sandwich is made of 1 type of bread, 1 type of meat, and 1 topping.
To find the number of combinations we multiply all the possible types we have
Number of combinations of sandwiches = [tex]6 \cdot 4 \cdot 3=72[/tex]
There are 72 different kinds of sandwiches.
Learn more : brainly.com/question/23045449
The diagram shows the locations of Cody and Reese after running
different directions from a tree. How far did Cody run?
Answer: 80yd
Step-by-step explanation:
How to solve this? I have no clue and also teach me on how to solve this! Thank you!!! thank you for your time!!!!
The answer you have is the correct answer. When reflecting across the x-axis, the x-coordinate will always remain the same, but the y-coordinate value will be the opposite (in this case -5 will become 5)
What is the output (y) if the input (x) is -10?
plz exsplain
Answer:
y = -5
Step-by-step explanation:
y = x / 2
For x = -10
Plug -10 into the equation
y = -10/2
y = -5
------------------
For the remaining values
x y
0 0
4 2
10 5
The number of pages in an Algebra book is 99 less than the number of pages in a geometry book.
Write and solve an equation to find the number n of pages in the geometry book.
Answer: An equation is *629 = n - 99. The geometry book has 728 pages*
Step-by-step explanation: The Algebra book has 99 pages LESS than the geometry book, in other words, the geometry book has 99 pages MORE than the Algebra book. This equation can be used to find the answer. I’m afraid 530 is not the answer.
Hope this helps! :)
Use the sum of cubes identity to write this polynomial expression in factored form:
8x3 + 27.
Answer:
[tex] {8x}^{3} + 27 \\ = {8x}^{3} + {3}^{3} \\ let : 8x \: be \: a \\ : 3 \: be \: b \\ = > {a}^{3} + {b}^{3} : \\ {(a + b)}^{3} = (a + b)( {a}^{2} + 2ab + {b}^{2} ) \\ {(a + b)}^{3} = ( {a}^{3} + 3{a}^{2} b + 3a {b}^{2} + {b}^{3} ) \\ ( {a}^{3} + {b}^{3} ) = {(a + b)}^{3} - 3ab(a + b) \\ \therefore( {8x}^{3} + 27) = {(8x + 3)}^{3} - 72(8x + 3)[/tex]
A.)90
B.)80
C.)56
D.)24
Answer:
your answer is C
please help
it would mean the
absolute world:/ giving away lots of points:/
Answer:
:)
Step-by-step explanation:
[tex]M = 3x^2y^3-4xy +x^3y\\\\2M = 2 \times (3x^2y^3-4xy +x^3y) \\\\[/tex]
[tex]= 6x^2y^3 - 8xy + 2x^3y[/tex]
[tex]N = -2x^3y + 6x^2y^3 -8xy -8[/tex]
[tex]= 6x^2y^3 -8xy -2x^3y -8[/tex] [tex][ re-arranging \ the \ terms][/tex]
a)
[tex]2 M - N = ( 6x^2y^3 -8xy +2x^3y) - (6x^2y^3-8xy -2x^3y - 8)[/tex]
[tex]= 6x^2y^3 - 8xy +2x^3y -6x^2y^3 +8xy +2x^3y + 8\\\\= 4x^3y +8[/tex]
b)
[tex]2M - N \ for \ x = -1 \ and \ y = 2: (4(-1)^3\times (2)) + 8 = -8 + 8 = 0[/tex]
Sum1 plz help with this
Answer:
x = 8.7
Step-by-step explanation:
Use the formula
[tex]a^{2} +b^{2} =c^{2} \\x^{2} +11^{2} =14^{2} \\\\x = 8.660[/tex]
solve for X and Y. be sure to solve for both.
Answer:
x = 48; y = 13
Step-by-step explanation:
20/5 = 52/y
4 = 52/y
4y = 52
y = 13
20/5 = x/12
4 = x/12
x = 4 * 12
x = 48
Answer:
x = 48, y = 13
Step-by-step explanation:
Since they have a pair of verticle angles, this means the triangles are similar. You find a common side (the length 5 and length 20) and you know the ratio, (divide 20 by 5) aka. the larger triangle is 4 times larger than the smaller one. That means the side lengths are also 1/4 scale. So the bigger triangle = 12(length of side)*4(ratio). Also since y is on the smaller triangle, you scale it down by 1/4, so 52 (the side length) / 4 (ratio) is 13. So y = 13, x =48
Integer x is evenly divisible by 3. Which expression below is also evenly divisible by 3?
A. 2x+ 1
B. 3x-5
C. 4x-1
D. 4x+6
Consider the probability model that allows you to determine probability that there will be X number of successes out of n trials; when the outcomes from each trial (each defined as either a success or a failure), are independent, and subject to the same probability of success from one trial to the next. How will the coefficient of variation for this model change
Answer:
The probability of number of success = C (n,k)p^kq^(n-k)
Step-by-step explanation:
This is the case of Bernoulli's experiment in which there are n independent trials with X number of success
The probability of number of success = C (n,k)p^kq^(n-k)
Where k = 0,1,2,3...n
2. R10 000 is invested for two years at 8% per year compounded quarterly
a) Calculate the value of the investment after two years.
b) Determine the Interest earned by the investment.
6.) You are standing 50 meters from a hot air balloon that is
preparing to take off. The angle of elevation to the top of the
balloon is 28'. Find the height of the balloon.
Answer:
26.6 meters
Step-by-step explanation:
tan = opp/adj
tan28 = opp/50
50 * tan28 = opp
26.59 = opp
Molly starts riding her bike to school 20 minutes after her brother Jonas
does. Molly pedals 12 miles per hour, and Jonas pedals 9 miles per hour.
How much time will it take for Molly to catch up to Jonas?
Answer:
It will take Molly 1 hour to catch up to Jonas.
Step-by-step explanation:
Since Molly starts riding her bike to school 20 minutes after her brother Jonas does, and Molly pedals 12 miles per hour, and Jonas pedals 9 miles per hour, to determine how much time will it take for Molly to catch up to Jonas the following calculation has to be done:
Jonas = 9 miles per 60 minutes = 3 miles per 20 minutes
Molly = 12 miles for 60 minutes
Jonas = 3 miles + 9 = 12
Molly = 12
Therefore, it will take Molly 1 hour to catch up to Jonas.
Drag the correct word and the appropriate value to the box with each given interval
Answer:
this answer is for functional value only
Math question......please get the correct answer
Answer:
7 pies
Step-by-step explanation:
The graph is counting by 2s and the question is asking how many pies have 90 or more cherries in the pie so, I counted and got 7. 4 from 90-119 and 3 from 120-149. On 120-140 the graph fills up to 2 and then fills a half which counts as one pie 4+2+1=7 pies.
Answer:
7 pies
Step-by-step explanation:
find all solutions of sin (x) = sec (x)
The solution is Option A.
The solutions of the trigonometric equation sin (x) = sec (x) is none because the range of sine is −1 ≤ y ≤ 1. Since 2 does not fall in this range, there is no solution
What are trigonometric relations?
Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles
The six trigonometric functions are sin , cos , tan , cosec , sec and cot
Let the angle be θ , such that
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
tan θ = sin θ / cos θ
cosec θ = 1/sin θ
sec θ = 1/cos θ
cot θ = 1/tan θ
Given data ,
Let the trigonometric equation be represented as A
Now , the value of A is
sin ( x ) = sec ( x ) be equation (1)
On simplifying the equation , we get
sin ( x ) = 1 / cos ( x )
Multiply by cos ( x ) on both sides of the equation , we get
sin ( x ) cos ( x ) = 1
Now , the value of the trigonometric equation sin ( 2x ) = 2sin ( x ) cos ( x )
So , Substituting the values in the equation , we get
2sin ( x ) cos ( x ) / 2 = 1
sin ( 2x ) / 2 = 1
Multiply by 2 on both sides of the equation , we get
sin ( 2x ) = 2
Now , The range of sine is −1 ≤ y ≤ 1
So , there is no solution for the equation
Hence , the solution to the trigonometric equation is none
To learn more about trigonometric relations click :
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Help please ASAP ASAP
Answer:
-1/12
Step-by-step explanation:
The slopes of perpendicular lines are equivalent to -1.
Answer:
-1/4
Step-by-step explanation:
Subtract 12x from both sides to get -3y=-12x+81
Divide both sides by -3 to get y=4x-27
Take the negative reciprocal of 4, which is -1/4
1. Find the value of x to the nearest tenth
A. 8.1
B. 7.5
C. 8.9
D. 7.9
Answer:
C.
[tex]x = 2( \sqrt{ {6}^{2} - {4}^{2} } ) \\ x = 2( \sqrt{20} ) \\ x = 8.9[/tex]