Answers
sin^2x + cos^2x = 1
sin^2x + (7/11)^2 = 1
sin^2x + 49/121 = 1
sin^2x = 72/121
sinx = square root of 72/121
sinx = (6 root 2) / 11
sin2x = 2sinxcosx
sin2x = 2[(6 root 2)/11] (7/11)
sin2x = (2*6*7*root 2) / (11*11)
sin2x = 84 root 2 / 121 :)
Related Questions
Rahal is adding the Epression below. -3+[(-7)+(-6)] First he rewrites the expression. [3+(-7)]+(6) Which number property did Rashal use to rewrite the expressio?
Answers
Note: The second expression must be [tex][(-3)+(-7)]+(-6)[/tex] instead of [tex][3+(-7)]+(6)[/tex]
Given:
The given expression is:
[tex]-3+[(-7)+(-6)][/tex]
Rahal rewrites the expression as:
[tex][(-3)+(-7)]+(-6)[/tex]
To find:
The property that Rahal use to rewrite the expression.
Solution:
According to the associative property of addition, if a, b and c are three real numbers, then
[tex]a+(b+c)=(a+b)+c[/tex]
We have,
[tex]-3+[(-7)+(-6)][/tex]
Using the associative property of addition, we get
[tex]-3+[(-7)+(-6)]=[(-3)+(-7)]+(-6)[/tex]
Therefore, the required property is associative property of addition.
Match each expression with its sum or difference
Answers
Answer:
1-4=-3
-1-4=-5
-1+4=3
1-|-4|=5
Answer:
[tex]1-4=-3\\-1-4=-5\\-1+4=3\\1-(-4)=5[/tex]
Step-by-step explanation:
The hardest part about negative numbers in addition is remembering when to add, rather than subtract. In the last equation, we add the numbers together, because the negative sign cancels out with subtraction. All of the other equations we can follow exactly what it says to do, because there are no minus signs right next to each other.
please help ill rate you 5 and follow yoy and like maybe even brainlist!
solve , then graph the given inequalities: a) 24.2 − y ≤ 11.2 b) -12.5 + x > 5
Answers
(b) x > 17.5
Explanations:
(a)
24.2 - y <_ 11.2
- y <_ 11.2 - 24.2
-y <_ -13
y >_ 13
(b)
- 12.5 + x > 5
x > 5 + 12.5
x > 17.5
(<_ means “less than or equal to” and >_ means “greater than or equal to”)
A section of a rectangle is shaded.
The area of the shaded section is 63 square units.
What is the value of x?
09 units
0 11 units
O 18 units
O 21 units
Answers
Answer:
x=11
Step-by-step explanation:
Area of trapezoid:
[tex] \frac{(a + b)h}{2} [/tex]
a=7
b=x
h=7
Area=63
[tex]63 = \frac{7(7 + x)}{2} \\ \frac{126}{7} = 7 + x \\ x = 11[/tex]
Brainliest please~
The volume of a cylinder is 196in.3 and the height of the cylinder is 1 in. What is the radius of the cylinder?
Answers
Answer:
r ≈ 7.9 inches
Step-by-step explanation:
V(cylinder) = πr²h
196 = πr²(1)
196/π = r²
62.4 = r²
√62.4 = r
r ≈ 7.9
Can someone help me with this please and answer with the steps
Answers
Answer:
Angle T = 28, h = 18
Step-by-step explanation:
HW/ER = WT/RD Thales Theorem
10/5 = h/9 Substitution
2 = h/9 Alg
h = 18 Alg
Angle D = Angle T Similarity definition
Angle D + Angle E + Angle R = 180 Angle Sum Property
Angle D + 86 + 66 = 180 Substitution
Angle D + 152 = 180 Alg
Angle D = 28 Alg
Angle D = Angle T = 28 Similarity Definition
Hope this helped!
Solve for x in the triangle round your answer to the nearest tenth BRAINLIEST
Answers
Answer:
x = 16.4
Step-by-step explanation:
For right-angle triangles, we can use the trigonometry equations;
In this case, we need to use the sine equation in particular:
sinθ = opposite/hypotenuse
sin(66) = x/18
x = 0.91...(18)
x = 16.4438... ⇒ 16.4
Jenna is a 6th grader at CMS. Jenna was told her mean score on social studies quizzes was 94. She remembered getting scores of 97, 88, 90, and 95, but she knew she had taken 5 quizzes. What was her fifth quiz score?
Answers
Answer: 100
Step-by-step explanation:
Since she had a mean score of 94 in her 5 tests, then the total score will be:
= 94 × 5
= 470
Since she She remembered getting scores of 97, 88, 90, and 95, for 4 quizzes out of 5 quizzes, the total of the four quizzes will be:
= 97 + 88 + 90 + 95
= 370
Then, her 5th quiz will be:
= 470 - 370
= 100
What are the quartiles of the data represented by the box-and-whiskers graph shown.
23, 26, 28, 30.5
26, 28.5, 30.5, 35
23, 26, 28.5, 31.5
26, 28.5, 32.5, 34
Answers
Answer: 26 and 31.5
Step-by-step explanation: it litterally shows it in the picture
Samuel, Martín y Santiago salen a montar bicicleta de Cali hacia Palmira. La distancia entre Cali y Palmira es de 29.3 KM. En la siguiente tabla se muestra los km que lograron realizar cada uno. Samuel izo 178/8 km , martin 21 3/4 km y santiago 21 5/12 ¿Quien recorrio mas distancia? ¿Cuantos km les falto a cada uno para llegar a palmira? ¿en promedio cuantos km recorrieron entre los 3 amigos? ¿¿Cuántos kilometros recorrió más Martín que Santiago? AYUDDAAAAAAAAaaaaaaa
Answers
Answer:
a) Martín recorrió más distancia, b) A Samuel, Martín y Santiago les falta 7.05, 7.55 y 7.883 kilómetros, respectivamente, c) La distancia recorrida promedio es 21.889 kilómetros, d) Martín recorrió 0.333 kilómetros más que Santiago.
Step-by-step explanation:
a) En primer lugar, convertimos la distancia recorrida por cada persona a su forma decimal:
Samuel
[tex]\frac{178}{8}\,km = 22.25\,km[/tex]
Martin
[tex]21\,km + \frac{3}{4}\,km = 21.75\,km[/tex]
Santiago
[tex]21\,km + \frac{5}{12}\,km = 21.417\,km[/tex]
Como puede apreciarse, Martín recorrió más distancia.
b) La distancia faltante es igual a la sustracción de la distancia recorrida por la persona a la distancia total:
Samuel
[tex]x = 29.3\,km -22.25\,km[/tex]
[tex]x = 7.05\,km[/tex]
Martin
[tex]x = 29.3\,km - 21.75\,km[/tex]
[tex]x = 7.55\,cm[/tex]
Santiago
[tex]x = 29.3\,km - 21.417\,km[/tex]
[tex]x = 7.883\,km[/tex]
A Samuel, Martín y Santiago les falta 7.05, 7.55 y 7.883 kilómetros, respectivamente.
c) La distancia recorrida promedio se obtiene sumando las distancias recorridas de las tres personas y dividiendo el resultado por la cantidad de personas:
[tex]\bar{x} = \frac{22.5\,km + 21.75\,km + 21.417\,km}{3}[/tex]
[tex]\bar x = 21.889\,km[/tex]
La distancia recorrida promedio es 21.889 kilómetros.
d) Esta diferencia se encuentra a restar la distancia recorrida por Santiago a la distancia recorrida por Martín:
[tex]x = 21.75\,km - 21.417\,km[/tex]
[tex]x = 0.333\,km[/tex]
Martín recorrió 0.333 kilómetros más que Santiago.
Explanations Needed (In-Depth)
I need explanations for Properties of Dilations and Similarity and Similarity Transformations.
I am in 10th-grade Geometry, Thank you so much!
Answers
Answer:
Properties of Dilation
Each angle of the figure is the same. Midpoints of the sides of the figure remain the same as the midpoint of the dilated shape. Parallel and perpendicular lines in the figure remain the same as the parallel and perpendicular lines of the dilated figure. The images remain the same.Similarity. In order for two figures to be similar, they must have congruent (equal) corresponding angle measures and proportional sides. Dilations create similar figures because multiplying by the scale factor creates proportional sides while leaving the angle measure and the shape the same.A similarity transformation is one or more rigid transformations (reflection, rotation, translation) followed by a dilation. When a figure is transformed by a similarity transformation, an image is created that is similar to the original figure. ... In general, similarity transformations preserve angles.A dilation stretches or shrinks a figure. The image created by a dilation is similar to the original figure. The scale factor of a dilation is the ratio of corresponding side lengths. In this course, the center of dilation will always be the origin.Dilations in Animation
The three basic rigid motions are translations, reflections, and rotations. In addition to being rigid motions, these are also considered transformations. Transformations change the location or orientation of an image but not the shape.Isometric transformations have the same shape AND size, similarity transformations just have the same shape. Isometric transformations have the same shape AND size, similarity transformations just have the same size. They are the same, no differences. ... A stretch is not a similarity transformation.[tex]\color{yellow}{}[/tex]
I need some help!!! i will give brainliest!
Answers
Answer:
You save 5.6 dollars.
Step-by-step explanation:
10%
The way we can calculate 10% of a number is to simply move its decimal point down one.
So for instance, 56.00, we move it one decimal place down, getting us 5.60.
1%:
This works for 1% as well, except we move 2 decimal points down instead of 1.
Using these 2 we can very easily find any percent.
Want to find 17% of 99?
Well that sounds like some rotten long division :(.
Actually, though, this is quite easy.
10% of 99 would be 9.9
1% of 99 would be 0.99
To find 17%, just multiply 0.99 by 7.
This is 6.93, you can just make 0.99 1, multiply it by 7, then subtract 0.07 from it.
Add the 9.9 and 6.93 and you get 16.83.
I did this all in my head, and once you practice this, you could calculate this even quicker than with a calculator!
Hope this helps!
What is a perpendicular bisector notation?
Answers
Answer:
In a pyramid, line segment AD is the perpendicular bisector of triangle ABC on line segment BC. If AB = 20 feet and BD= 7 feet, find the length of side AC.
Step-by-step explanation:
Solution
It is given that AD is the perpendicular bisector on the line segment BC.
So, By Perpendicular Bisector Theorem, any point on line segment AD is at an equal distance from points B and C. It implies, AB = AC
AC = 20 feet.
Are the only bases that I need to use 2 and 4 along with the height 2.5 and I just ignore the 3?
Answers
Answer:
[tex]7.5\ units^2[/tex]
Step-by-step explanation:
The formula to find the area of a trapezoid is the following,
[tex]A=(h)(\frac{(b_1)+(b_2)}{2})[/tex]
Where ([tex]h[/tex]) represents the heights of the trapezoid, ([tex]b_1[/tex]) and ([tex]b_2[/tex]) represent the bases of the trapezoid, or rather the two parallel sides of the trapezoid.
One is given all of these values in the picture,
[tex]h = 2.5\\\\b_1 = 2\\\\b_2 = 4[/tex]
Substitute these values into the formula and solve for the area of the trapezoid,
[tex]A=(2.5)(\frac{(2)+(4)}{2})[/tex]
Simplify,
[tex]=(2.5)(\frac{6}{2})\\=(2.5)(3)\\=7.5[/tex]
Find the volume of a pyramid with a square base, where the side length of the
base is 8.7 cm and the height of the pyramid is 13.1 cm. Round your answer
to the nearest tenth of a cubic centimeter.
Answers
Answer: V= 330.513 cm 3
Step-by-step explanation:
Area = l x w and with a square the length and width are the same, additionally the volume of a pyramid can be found by using the formula (L)(w)(h)/3 so
8.7 x 8.7 = 75.69cm^2
75.69 x 13.1 = 991.539
991.539 ÷ 3 = 330.513 cm^3
what is the volume of this cylinder
Answers
Answer:
471.24 Inches
Step-by-step explanation:
V= πr²h (diameter=10, Radius = 5)V = (22/7 × 5 × 5) × 6V= 550 × 6V = 3300 ÷ 7V = 471.2389=round offV = 471.24 inchesThe figure below shows some angles what is the measure of L ABD?
A, 46
B, 56
C, 90
D, 100
Answers
Answer:
90
Step-by-step explanation:
how to find x in 64°,50° and 2x
Answers
Answer:
x = 33 degree
Step-by-step explanation:
angles of a triangle = 64 degree , 50 degree , 2x
64 + 50 + 2x = 180 degree (sum of interior angles of a triangle)
114 + 2x = 180
2x = 180 - 114
x = 66/2
x = 33 degree
to find 2x
=2*33
=66 degree
Answer:
33
Step-by-step explanation:
MARK ME BRAINLIEST THANKS MY ANSWER PLEASE
HELP PLS ITS DUE IN A FEW MIN
Show the relationship between the number of weeks and Mike's savings using an equation. Type your answer starting with either "W=" or "S=".
Answers
Answer:
S = 50w + 75
Step-by-step explanation:
After each week, Mike gains $50.
Letting w = 0 gives us the amount he started with. In this case, that would be $75.
Therefore, the equation is S = 50w + 75.
What is the value of y? (Angle Theorems)
Answers
Answer:
The answer is c (54).
Step-by-step explanation:
given m is parallel to n, find the value of x and y
Answers
If you write a product using each prime factor of two polynomials the greatest number of times it occurs in the polynomial, you get the ____________ for the polynomials.
*PLEASE HURRY I ONLY HAVE 3 MINUTES*
least common denominator
least common multiple
mixed expression
mixed martial artist
Answers
Answer:
Mixed martial artist
Step-by-step explanation:
a stadium has 2456 there are five sections of seats with the same number of seats in each section how many seats are in each section.
Answers
What is the value of x?
Enter your answer in the box.
x =
Answers
Answer:
[tex]\huge\boxed{Answer\hookleftarrow}[/tex]
Given,
The figure given is a rectangle. So, we know that the parallel (opposite) sides of a rectangle are equal to each other.
[tex]•°• \: \: 40 = 5x + 10 \\ 40 - 10 = 5x \\ 30 = 5x \\ \frac{30}{5} = x \\ 6 = x[/tex]
✐ The value of x is 6.
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
# ꧁❣ RainbowSalt2²2² ࿐
solve for x round to the nearest tenth if necessary
Answers
Answer:
Step-by-step explanation:
take 60 degree as reference angle
using cos rule
cos 60 = adjacent / hypotenuse
1/2 = 80/x
do cross multiplication
2*80 = x
160 = x
160.0 = x
Simplify (1+ 3) (2-3)
Answers
Step-by-step explanation:
[tex] \sqrt{3} - 1[/tex]
Answer:
-1 + √3
Step-by-step explanation:
use the F.O.I.L method to solve this.
"firsts"
1 * 2 = 2
"outsides"
1 * -√3 = -√3
"insides"
√3 * 2 = 2√3
"lasts"
√3 * - √3 = -3
so you get:
2 - √3 + 2√3 - 3
combine like terms
-1 + √3
32x + 26 = -11 can someone help pls Ik in summer school
Answers
Answer:
x = -37/32
Step-by-step explanation:
32x + 26 = -11
Subtract 26 from each side
32x + 26-26 = -11-26
32x = -37
Divide each side by 32
32x/32 = -37/32
x = -37/32
Answer:
x= -1 5/32 or x=-1.15625
Step-by-step explanation:
What is the area of the triangle?
12
8
Answers
Answer:
48
Step-by-step explanation:
Answer:
48 un²
Step-by-step explanation:
1/2 ( base x height)
1/2( 12 x 8 )
1/2( 96 )
48
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Question 34 of 98
Five friends go to the movies. The price for each ticket is
$6.99. One person thinks the total for all five people will be
around $35.00.
Is this a reasonable estimate? Why?
A. Yes, a reasonable estimate is around 6 . $8 = $48.
B. Yes, a reasonable estimate is around 6. $7 $42.
C. No, a reasonable estimate is around 5 . $9 = $45.
D. Yes, a reasonable estimate is around 5 - $7 = $35.
Answers
Answer:
D. Yes, a reasonable estimate is around 5 - $7 = $35.
What is the equation of the asymptote for the exponential function shown on the graph?
Answers
Answer:
B) y=0
Step-by-step explanation:
The exponential function shown has a horizontal asymptote at the line y=0, which means that y will approach 0 as the value of x decreases. Therefore, B is correct.