Answer:
±[tex]\frac{1+\sqrt{3} }{2\sqrt{2} }[/tex]
Step-by-step explanation:
We can rewrite [tex]sin(\frac{7\pi }{12} )[/tex] as [tex]sin(\frac{7\pi }{6} (\frac{1}{2} ))[/tex]. The half-angle identity for sin tells us that [tex]sin(\frac{x}{2} ) = \sqrt{\frac{1 - cos(x)}{2} }[/tex] (plus or minus). Now, we can plug in [tex]\frac{7\pi }{6}[/tex] for x. When we do that, we get [tex]\sqrt{\frac{1 - (-\frac{\sqrt{3}}{2}) }{2} }[/tex] = ± [tex]\frac{1+\sqrt{3} }{2\sqrt{2} }[/tex].
Hope this helped! :)
Does anyone knows the answers to these
A. -4
B. 0
C. 1
D. 4
Answer: B) 0
Explanation:[tex]\rightarrow \sf y = \dfrac{1}{2} x - 2[/tex]
insert x = 4
[tex]\rightarrow \sf y = \dfrac{1}{2} (4) - 2[/tex]
simplify
[tex]\rightarrow \sf y = 2 - 2[/tex]
subtract
[tex]\rightarrow \sf y = 0[/tex]
Simplify this expression.
8(h-4)-h-(h+7)
Solve step-by-step
Answer:
6h - 39 or 3(2h - 13)
Step-by-step explanation:
Distribute the terms in the parentheses.
8(h - 4) - h - (h + 7)8h - 32 - h - h - 7Combine like terms
8h - h - h - 32 - 76h - 393(2h - 13) [by grouping]8 (h - 4) - h - (h + 7)
8h - 32 - h - h - 7
6h - 39
3 (2h - 13)
the path of a cliff diver as he dives into a lake, is given by the equation y = -(x-10)^2+75, where y metres is the diver’s height above the water and, x meters is the horizontal distance travelled by the diver. what is the maximum height the diver is above the water?
Answer:
The highest point will be (10, 75)
Step-by-step explanation:
please answer!!!! will mark brainliest!!!
Answer:
6.42 %
Step-by-step explanation:
Formula FV = PV ( 1 + i)^n i = periodic interest in decimal
FV = future value PV = present value
n = periods ( years in this case)
3412.23 = 2500 ( 1 + i)^5
3412.23/2500 = (1+i)^5
1.364892 = (1+i)^5
1.0641 = 1+ i
i = .0642 or 6.42 %
a right triangle has a hypotenuse of 25 inches and a height of 7 inches .what is the area of the triangle?
87.5
25x7=175
175/2=87.5
GIVING BRAINLIEST!!!!!
Answer:
x = 18
Step-by-step explanation:
The angles (x)° and (4x)° are complementary, meaning they form a 90° angle.
x + 4x = 90Combine like terms :
x (1 + 4) = 905x = 90Divide both sides by 5 :
5x/5 = 90/5x = 18Agree & disagree statements: CIrcles
Circle A has a diameter of 18 inches.
Circle B has a circumference of 36 inches.
write the letter of the card in the correct column next to the letter, write your explanation as to why it belongs in the agree or disagree columns.
1. Circle A has an approximate circumference of 56.5 inches. true or false? explain.
2. Circle A has an area of 324r in2, True or false? explain
3. Circle A is approximately 151 square inches greater than Circle b. True or false ? explain.
Answer:
Hope the pictures will help you
I need help with this problem
Answer:
a = -4
Step-by-step explanation:
(a + 2)/2 = - 1
a+2 = -1 * 2
a = - 2 - 2
a = -4
Answer:
-2.5
Step-by-step explanation:
soo your objective is to make a alone
first remove the denominator
a+2 / 2 = -1
a + 2 = -1/2
now minus 2 to both sides
a = -1/2 - 2
a = -2 1/2
complete the solution of the equation. find the value of y when x equals -2. -9x-3y=6
Answer:
y= 4
Step-by-step explanation:
-9x-3y=6
Let x = -2
Substitute for x in the equation
-9(-2) -3y = 6
18 -3y = 6
Subtract 18 from each side
18-3y-18 = 6-18
-3y = -12
Divide by -3
-3y/-3 = -12/-3
y = 4
Tyrone receives a discount of $8.40 on a hat that normally costs $28.00 .
what percent discount did he receive on the hat
explain how you know
please explain for me
Answer:
30%
Step-by-step explanation:
percentage = (discount/total amount)*100
= (8.40/28)*100=30%
1000 ft.
Problem 3.2
100 ft.
A large rectangular swimming pool is 1000 feet long,
100 feet wide, and 10 feet deep.
The pool is filled to the top with water.
How much water does the pool hold?
Submit
Answer:
1,000,000
Step-by-step explanation:
you just get the Volume of the shape
Help plss. Worth 20 points<3
What do animals that are carnivores eat?
fish and insects
other animals
plants and fungus
whatever they can find
Answer: Other animals
Step-by-step explanation:
The right rectangular prisms are similar. which statements are correct? check all that apply. the angles in the smaller prism measure 90 degrees. the perimeter of the rectangular bases changes by a factor of 2. the surface area changes by a factor of 8. the larger prism has twice the volume of the smaller prism. the area of the rectangular bases changes by a factor of 4.
The true statement about the right rectangular prisms include:
The angles in the smaller prism measure 90 degrees.The perimeter of the rectangular bases changes by a factor of 2.The rectangular bases changes by a factor of 4.How to illustrate the prism?It should be noted that a prism simply means a shape that has two identical shapes that face each other.
Here, the angles in the smaller prism measure 90 degrees and the perimeter of the rectangular bases changes by a factor of 2.
Learn more about prism on:
brainly.com/question/23963432
#SPJ4
What is the area,in square meters,of the isosceles trapezoid?
Step-by-step explanation:
the area of a trapezoid is
(base1 + base2)/2 × h = (18.6 + 9.2)/2 × 7.2 =
= 27.8/2 × 7.2 = 13.9 × 7.2 =
= 100.08 m²
Express 0.57 in the form p where p and q are integers o and q # 0
please give with correct step everyone
Answer:
57/100
Step-by-step explanation: 0.57 can also be written as 57/100 which is equal to 0.57
What is the greatest common factor of the numerator of ?
The greatest common factor of the numerator and denominator of the rational expression is x - 4
How to determine the greatest common factor?The fraction expression is given as:
[tex]\frac{5x-20}{x^2-2x-8}[/tex]
Factorize the numerator and the denominator
[tex]\frac{5x-20}{x^2-2x-8} = \frac{5(x-4)}{(x- 4)(x + 2)}[/tex]
Cancel out the common factor
[tex]\frac{5x-20}{x^2-2x-8} = \frac{5}{(x + 2)}[/tex]
The common factor that was canceled out is x - 4
Hence, the greatest common factor of the numerator and denominator of the rational expression is x - 4
Read more about greatest common factors at:
https://brainly.com/question/10076354
#SPJ1
solve for x
x/7 = 3/5 enter answer as decimal
Hey there!
ORIGINAL EQUATION:
x/7 = 3/5
CROSS MULTIPLY THE FRACTIONS
x(5) = 3(7)
5(x) = 3(7)
SIMPLIFY IT!
5x = 21
DIVIDE 5 to BOTH SIDES
5x/5 = 21/5
SIMPLIFY IT!
x = 21/5
x = 4 1/5
Therefore, the answer should be:
x = 21/5
OR
x = 4 1/5
EITHER OF THOSE SHOULD WORK BECAUSE THEY ARE BOTH EQUIVALENT TO EACH OTHER!
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
I NEED HELP WITH THIS QUESTION PLEASE, i don't have much time T^T
i'll give brainliest and points, thank you in advancee <33
an explanation for future reference would be appreciated!!^^
Answer:
Option b is the correct answer
Step-by-step explanation:
[tex]\cos x = -\frac{12}{13}[/tex] (Given)Formula relating sin x and cos x is given as below:[tex]\sin^2x = 1-\cos^2x[/tex][tex]\implies \sin^2x = 1-\bigg(-\frac{12}{13}\bigg)^2[/tex][tex]\implies \sin^2x = 1-\frac{144}{169}[/tex][tex]\implies \sin^2x = \frac{169-144}{169}[/tex][tex]\implies \sin^2x = \frac{25}{169}[/tex][tex]\implies \sin x =\pm\sqrt{ \frac{25}{169}}[/tex][tex]\implies \sin x =\pm \frac{5}{13}[/tex]It is given that: 180° < x < 270°. This means x falls in the third quadrant. In third quadrant sin ratio is negative.[tex]\implies \sin x =- \frac{5}{13}[/tex]Now, we will find the value of tanx by dividing sinx by cosx.[tex]\implies \tan x =\frac{\sin x}{\cos x}[/tex][tex]\implies \tan x = \frac{-5/13}{-12/13}[/tex][tex]\implies\red{\bold{ \tan x =\frac{5}{12}}}[/tex]tan (90° + x) and tan x both lie in the interval 180° < x < 270°. So, the values of both will be equal.[tex]\implies \tan (90\degree + x ) =\tan x[/tex][tex]\implies \huge{\purple{\tan (90\degree + x ) =\frac{5}{12}}}[/tex]which equation represents a line which is parallel to the line y=8/7x-6?
Answer: 8x-7y = 56
Step-by-step explanation:
Can someone please answer this, ill give you brainliest Would be very appreciated.
Answer:
See below ~
Step-by-step explanation:
More revenue would be generated at $5 than $17 because on the graph, when the price is at $5, there is about $3750 in revenue compared to when the price is $17, the revenue is $2500.The company should sell their product at $10. At this price, the revenue they will make is $5,000.The domain is the possible intervals in which x lies. Therefore, the domain is : 0 ≤ p ≤ 20.REALLY REALLY NEED HELP!!!! MATH GENIUSES OUT THERE!!!! ANYONE!!!!!! FOR EDGE!!!!!!
Answer:
on the attached pdf
Step-by-step explanation:
HELP NOW PLEASEE
h(x)=x^(2)+x+9
find h (-2)
find h (4)
and find h (0)
Answer:
11, 29, 9
Step-by-step explanation:
substitute x = - 2, 4, 0 into h(x)
h(- 2) = (- 2)² + (- 2) + 9 = 4 - 2 + 9 = 2 + 9 = 11
h(4) = 4² + 4 + 9 = 16 + 4 + 9 = 29
h(0) = 0² + 0 + 9 = 0 + 0 + 9 = 9
Please help
Use the following data set to answer questions 9-16:
11, 18, 8, 15, 24, 14 9.
9. Identify the median. Round to the nearest tenth.
10. Calculate the mean. Round to the nearest tenth.
11. Calculate the mode. Round to the nearest tenth.
12. Predict how the median will change if a 21 is added to the data set. Identify the new median.
13. Predict how the mean will change if an 18 is added to the data set. Calculate the new mean.
Answer:
9. Median: 14
10. Mean: 14.1
11. Mode: No Mode
12. New Median: 14.5
13. New Mean: 14.625
The first TV Chrystal had was 7 inches by 9 inches. She now has a TV that is 56 inches by 72 inches. What is the scale factor?
Answer:
8
Step-by-step explanation
to find the scale factor you find out by how many times the numbers have gone bigger or smaller
7inches by 9inches
56inches by 72inches
7×8= 56
9×8=72
7 and 9 have changed 8 times more so the scale factor is 8
Solve the equation X = 64 for x.
ОА. -32, 32
O B. -8, 8
OC. 8
OD 32
please help
Answer:
B
Step-by-step explanation:
Answer:
the answer is b
Step-by-step explanation:
A Block of wood has a mass volume of 0.8g and volume of 16.0cm³. what is the density?
Answer:
[tex]0.05cm {}^{3} [/tex]
Step-by-step explanation:
[tex]density \: is \: the \: mass \: per \: unit \: volume \: of \: an \: object \: \\ density = \frac{m}{v} \\ density = \frac{0.8}{16} = 0.05cm {}^{3} [/tex]
5. Find (f◦g)(x) and (g◦f)(x) and the domain of each.
f(x)=x2−3, g(x)=2x−
Answers:
[tex](f \circ g)\;(x) = 4x^2 - 12x + 6\\\\(g \circ f)\;(x) = 2x^2-9\\\\[/tex]
The domain for both is "all real numbers".
============================================================
Explanation:
The work is shown below in the attached image.
The domain for each composite function is the set of all real numbers because we don't have to worry about things like dividing by zero, or taking the square root of a negative number. Any x value is allowed.
Tom has 20 girls in his seventh-grade class. The ratio of girls to boys is 5:4. How many boys does he have in his seventh-grade class?
Answer:
16 boys
Step-by-step explanation:
in ratio form girls are represented by 5 so if 5 equals to 20 what about 4 and that's how I got the answer good day.
The stem-and-leaf plot shows test scores for students in Math 7. How many students earned more than a 65 on their test? Key 4|5 = 45 A) 58 students B) 28 students C) 60 students D) 65 students
the answer is b
Step-by-step explanation:
hope this helps if not let me know have a blessed day