Answers
Answer:
Step-by-step explanation:
[tex]cos15=cos\frac{30}{2}[/tex] so the angle we will use in our identity is 30 degrees. The formula is
[tex]cos\frac{30}{2}=\sqrt{\frac{1+cos30}{2} }[/tex] which simplifies to
[tex]\sqrt{\frac{1+\frac{\sqrt{3} }{2} }{2} }[/tex] which simplifies to
[tex]\sqrt{\frac{\frac{2+\sqrt{3} }{2} }{2} }[/tex] which simplifies to
[tex]\sqrt{\frac{2+\sqrt{3} }{4} }[/tex] which simplifies, finally, to
[tex]\frac{\sqrt{2+\sqrt{3} } }{2}[/tex], choice a.
Related Questions
A store has shirts on display. Seven of the shirts are red. There are 5 more blue shirts than green shirts. There are 2 fewer yellow shirts than green shirts. If there are 28 shirts in all, how many shirts are there of each color? Ask for details Follow Report
Answers
Answer:
7 red shirts
6 green shirts
11 blue shirts
4 yellow shirts
Step-by-step explanation:
Let y represent the number of green shirts.
So y+5 is the number of blue shirts.
And y-2 is the number of yellow shirts.
And we have 5 red shirts.
Therefore,
7+5+y+y-2+y=28
12-2+3y=28
10+3y=28
3y=28-10
3y=18,divde through by 3
y=6
2x-y=10 y=-4x+2 substitution method
Answers
Answer:
the solution is (2, -6)
Step-by-step explanation:
Substitute the second equation into the first, replacing y in the first:
2x - (-4x+2) = 10
Simplifying, we get:
2x + 4x - 2 = 10, or:
6x = 12, which yields x = 2.
Substituting 2 for x in the second equation yields y = -4(2) + 2 = 0, or y = -6
Then the solution is (2, -6).
Mr. Jones has a box that is a right rectangular prism, It has a height of 2 inches, a width of 3 inches, and a volume of 30 cubic inches. How many inches long is Mr. Jones' box? *
Answers
Answer:
The box is 5 inches long.
Step-by-step explanation:
V=lwh
30=l(3)(2)
30=6l
30/6=l
5=l
this would be SSS correct ?
Answers
Answer:
Yes
Step-by-step explanation:
I think so
Kendall found that the solutions to a quadratic equation were -2 and 3. Which of the following descriptions of the quadratic equation are true? Select all that apply
А The x-intercepts of the graph are also - 2 and 3
B
The x-intercepts of the graph are 2 and 3)
C
The factors are (x - 2) and (x + 3).
D
The factors are (x + 2) and (x-3).
The equation is y six + 2)(x - 3),
The equation is y(x-2)(x + 3).
Answers
If the solutions to a quadratic equation were -2 and 3 then,
А. The x-intercepts of the graph are also - 2 and 3.
C. The factors are (x - 2) and (x + 3).
The equation is ax² + bx + c = 0 is x² = x - 6 = 0.
What is a quadratic equaton?A quadratic equation is an algebraic expression in the form of variables and constants.
A quadratic equation has two roots as its degree is two.
Given, The solutions to a quadratic equation were -2 and 3.
∴ The quadratic equation ax² + bx + c = (x + 2)(x - 3).
So, The x-intercepts of the graph are also - 2 and 3.
The factors are (x - 2) and (x + 3).
The equation is ax² + bx + c = 0
= (x + 2)(x - 3) = 0
= x² - 3x + 2x - 6 = 0
= x² = x - 6 = 0.
learn more about quadratic equations here :
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please help! I need to solve it algebraically and if you can show your work/explain how you got the answer that would help a ton because I need that to!
Answers
The answer is x=-10
Step-by-step explanation:
the reasoning is you do the inverse or opposite of three to both sides so you add +3 to both sides so the -3 and the +3 would cancel out then you would add +3 to the integer -23 and get -20 next is you divide by 2 on each side so you 2÷2 which would cancel out and then -20÷2 which would equal -10
Hence the answer is x=-10
2x + (-3) - (-3) = -23 - (-3)
2x = -23 + 3
2x = -20
2x/2 =-20/2
x = -10
Which of these best describes the circumference?
A The square root of the area of a circle
B. The ratio of the radius of a circle to its diameter
C. The radius of a circle times 3.14
D. The diameter of a circle times 3.14
Answers
Answer:
D
Step-by-step explanation:
Since the formula of circumference is 2πr
In triangle RST, the measure of angle T=90°, the measure of angle R=82°, and TR=44 feet. Find the length of ST to the nearest tenth of a foot.
Answers
Answer:
[tex]x=6.183ft[/tex]
Step-by-step explanation:
From the question we are told that:
Angel of side [tex]T=90[/tex]
Angel of side [tex]R=82[/tex]
Length Side [tex]TR=44[/tex]
Generally the equation for Angle of side ST [tex]\theta[/tex] is mathematically given by
Since Angle in Triangle =180 therefore
[tex]\theta=180-(90+82)[/tex]
[tex]\theta=8[/tex]
Therefore Applying sine rule to get Length of ST x
[tex]\frac{x}{sin\theta}=\frac{TR}{sin82}[/tex]
[tex]x=\frac{44}{sin82}*sin8[/tex]
[tex]x=6.183ft[/tex]
There were 300 adults and 180 children at a football game. What percent of the spectators were adults?
Answers
Answer:
62.5
Step-by-step explanation:
300+180=480
300/480×100
Please help with this
Answers
Answer:
CORRECT STATEMENTS:
CDStep-by-step explanation:
A 10ft by 10ft square garden contains a large walking path through the diagonal. What is the area of the walking path shown in the gray below?
Answers
Help me please! No idea
Answers
Answer:
40
Step-by-step explanation:
Item 3
A rectangle is 29 feet long and 7 feet long.
What is the area of this rectangle?
203 ft²
143 ft²
107 ft²
72 ft²
Answers
Answer: 203
Step-by-step explanation:
to find the area, you have to multiply the length of the sides together. 29x7 = 203
I need help I’ll give brainlist answer.
Answers
Answer:
All beside D
Step-by-step explanation:
hey! i’ll give brainliest help thanks
Answers
Answer:
incorrect because essential means important
Find the volume of the given cylinder
Answers
Answer:
The answer is 32 I just know it
If point A is between points Band C and AB = 26 and BC = 50, find AC.
24
66
78
16
Answers
Answer:
24
Step-by-step explanation:
if A is a point between B and C, then'
BA + AC = BC
GIven
AB = 26 and BC = 50
BA = 26
Substitute
26 + AC = 50
AC = 50 - 26
AC = 24
Hence thelength of AC is 24
A box is designed to hold pencils the front of the box will be made of a clear material for display. The rest of the box will be made from cardboard
Answers
Answer:
100 cm²
Step-by-step explanation:
Given that :
Length of prism = 20 cm
Height, h = 5cm
Width, w = 4 cm
The surface are of the side with clear material can be obtained by calculating the area of rectangule (front)
Area of rectangle = Length * height
Area = 20 * 5 = 100 cm²
Just type it no files please help
Answers
Answer:
yes 4x5 is 4 rows of 5
Step-by-step explanation: brainiest
please
Answer is true 4×5 means 4 rows of 5
Divide 78 in the ratio 8 : 1 : 4
Answers
Answer:
78×8/13=48
78×1/13 =6
78×4/13=24
8:1:4
48:6:24
what is 1+7-4(8-9) no links or scams
Answers
Answer: =12
Step-by-step explanation: Hope this help :D
4x + 8y = 20 and -4x + 2y = -30
Answers
Step-by-step explanation:
Given :-
4x + 8y = 20 -4x + 2y = -30Adding the equations :-
[tex]: \implies[/tex] 10y = -10
[tex]: \implies[/tex] y = -1
Put it (i) :-
[tex]: \implies[/tex] 4x - 8 = 20
[tex]: \implies[/tex] 4x = 20 + 8
[tex]: \implies[/tex] 4x = 28
[tex]: \implies[/tex] x = 28/4
[tex]: \implies[/tex] x = 7
What does this mean and what is the answer?
-3(-7)
Answers
Answer:
-3 * -7 = 21
Step-by-step explanation:
-3(-7) = -3 * -7
Multiply
Remember: negative * negative = positive
So -3*-7 = 21
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
On a number line, the distance between x and 8 is 2 units.
Which equation can be used to determine the possible values for x?
Answers
Answer:
x+2=8
x+2_2=8_2
x=6
x=2*3
x=6
What is the surface area of a conical grain storage tank that has a height of 54 meters and a diameter of 18 meters round the answer to the nearest square meter
Answers
Answer:
1803 square meter
Step-by-step explanation:
The surface area of a cone
A=πr(r+V(h2+r2))
where A is the surface area, r is the radius and h is the height
Given that the height of 54 meters and a diameter of 18 meters, the radius is half the diameter hence
radius = 18/2 = 9 m
A = 9π (9 + V(54^2 + 9^2))
= 9π (9 + V2997)
= 9π (9 + 54.74486)
= 1803.068976 Square meters
To the nearest square meter
A = 1803
Sum of 2 fifths of x and 6x and 6 in algebraic expression
Answers
Sum of 2 fifths of x and 6x and 6 in algebraic expression = 2/5 x +6x +6
Answer:
(14x+12)/5
Step-by-step explanation:
2 fifth of x = 2/5 * x= 2x/5
2 fifth of 6x = 2/5 * 6x = 12x/5
2 fifth of 6 = 2/5 * 6 = 12/5
2x/5 + 12x/5 + 12/5
= (2x+12x+12)/5
= (14x+12)/5
Given the following quadratic function what’s the value of a, B, and C?
f(x)= 3x^2 - 5x -12
Answers
Answer:
Below.
Step-by-step explanation:
a = 3, b = -5 and c = -12.
A two-factor between-subjects design is evaluated. The F-value for Factor A has df = 1, 40 and the F-value for Factor B has df = 3, 40. Based on this information, what are the df values for the A x B interaction?
Answers
Answer:
The df values for the A x B interaction are also 3,40
Step-by-step explanation:
The F-value for Factor A has df = 1, 40
The F-value for Factor B has df = 3, 40.
The df values for the A x B interaction are also 3,40
This is because the source of variation between columns has ( c- 1); rc(n-1) degrees of freedom and the source of variation between rows has (r-1); rc(n-1) degrees of freedom and the source of variation of interaction
(between rows and columns) has ( c-1) ( r-1); rc(n-1) degrees of freedom.
Therefore
Factor A: ( c- 1); rc(n-1) = 1,40
Factor B: (r-1); rc(n-1) = 3,40
Interaction : ( c-1) ( r-1); rc(n-1) = 3*1,(40)= 3,40
where c refers to columns , r refers to rows and n refers to the total sample size.
someone please help i need to be done with 34 assignments by tomorrow
i'm a whole month behind bc there was a family emergency and i had to fly out of state but now i'm behind
NO LINKS OR FILES
Answers
Answer:
y=2(x + 2))^2 - 9
Step-by-step explanation:
So, whenever two negative signs are right next to each other, they make a positive. However, when they are alone, they stay negative.
With this, y=2(x-(-2))^2 + (-9) --> y=2(x + 2))^2 -9
f , what is the truncation error for S3?
0.016
0.031
0.219
0.234
Answers
Answer: it’s B, 0.031
Step-by-step explanation: edge 2021