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[tex] \cos( \frac{5\pi}{12} ) = \cos( \frac{6\pi}{12} - \frac{\pi}{12} ) = \\ [/tex]
[tex] \cos( \frac{\pi}{2} - \frac{\pi}{12} ) = \sin( \frac{\pi}{12} ) \\ [/tex]
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Also we have :
[tex] \sin( \frac{5\pi}{12} ) = \cos( \frac{\pi}{12} ) \\ [/tex]
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So :
[tex] \cos( \frac{\pi}{12} ). \sin( \frac{\pi}{12} ) + \sin( \frac{\pi}{12} ) . \cos( \frac{\pi}{12} ) = \\ [/tex]
[tex]2 \sin( \frac{\pi}{12} ) . \cos( \frac{\pi}{12} ) \\ [/tex]
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Hint :
[tex] \sin(2 \alpha ) = 2 \sin( \alpha ) . \cos( \alpha ) [/tex]
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So ;
[tex]2 \sin( \frac{\pi}{12} ) . \cos( \frac{\pi}{12} ) = \\ [/tex]
[tex] \sin(2 \times \frac{\pi}{12} ) = \sin( \frac{\pi}{6} ) \\ [/tex]
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[tex] \sin( \frac{\pi}{6} ) = \cos( - \frac{\pi}{3} ) \\ [/tex]
Thus the correct answer is the first option.
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The diagram shows organisms a diver observed during an ocean dive.
A sailboat floats on the water with objects below it in the water. These objects are labeled seaweed negative 20 meters, clownfish negative 23 meters, squid negative 44 meters.
What did the diver most likely use as a reference point to describe the position of the squid?
Answer:
The correct answer would be A.) The ocean surface
A sailboat floats on the water with objects below it in the water. These objects are labeled seaweed negative 20 meters, clownfish negative 23 meters, squid negative 44 meters.
What did the diver most likely use as a reference point to describe the position of the squid?
A.) the ocean surface
B.) the ocean floor
C.) the position of the clownfish
D.) the position of the seaweed
Step-by-step explanation:
Got it right on edge :)
Answer:
A
Step-by-step explanation: Did the test
pls answer this is due today its science. I give brainliest
Maybee the third one
Step-by-step explanation:
what is $3,600 after an 5% increase???
FIRST ANSWER GETS BRAINLIEST
Answer:
$3780
Step-by-step explanation:
3600*105%=3780 (It is 105% because it is a 5% increase)
If there are 40 boys and 60 girls in a room, fill out all of the possible ratios of boys to girls that could be made.
40+60=100. So one person equals 1%, meaning 40% are boys and 60% are girls. By simplifying, we will find that possible ratios below the value of 100 are 40:60, 4:6, 2:3, and 20:30.
Answer:
40:60 or 60:40
Step-by-step explanation:
This is the answer because a ratio looks like this
#:# <that just means a number by a number
and since the question is telling you to fill out all of the possible ratios of boys to girls that could be made.
There is really only one way you can write boys to girls but since they saying this try flipping the answer around like this: 60:40
Jason needs to save at least $200 by the end of the summer. He already has $40, and he has 8 weeks to save. Which inequality can he use to decide how much he needs to save each week?
Step-by-step explanation:
y=mx+b
200 = 8x + 40
Rearrange,
x = 160/8 = 20
He would need to save $20 a week
200= 20 × 8 + 40
Answer:
8x + 40 ≥ 200At least $20 each weekStep-by-step explanation:
Target amount = at least $200Jason already has = $40Time = 8 weeksSaved amount each week = xRequired inequality:
8x + 40 ≥ 2008x ≥ 160x ≥ 160/8x ≥ $20What is the equation of the line that passes through point (3, -1) and has a slope of 2?
Answer:
2x-7
I hope this is good enough:
Calculate the slope of a line through the points
(2, 1.5) and (-5, 36.5).
Answer:
35/-7
Step-by-step explanation:
you want to do the second y- the first y over the second X- the first x to GRT the slope
Answer:
35/-7
Step-by-step explanation:
To calculate slope, you use the slope formula: y2 - y1
x2 - x1
So 36.5 - 1.5
-5 - 2
And that equals 35/-7
WILL AWARD BRAINLIEST PLS HELP!!
Answer:
C
Step-by-step explanation:
Answer:
Step-by-step explanation:
The answer is C
One sixpack of soda has six cans. How many cans are there in six sixpacks of soda?
On the double number line below, fill in the given values, then use multiplication or
division to find the missing value:
cans
sixpacks of soda
There are
cans in 6 sixpacks of soda. Submit Answer
Answer:
36 cans
Step-by-step explanation:
6*6=36
Answer:
36
Step-by-step explanation:
6+6+6+6+6+6=36
Rachel finished 3/4 of the race in 6 hours. How long was the entire race?
The value of f(x( =5x-4x^2+3 when x=-1 is
Answer:
-6
Step-by-step explanation:
-4x^2+5x+3
-4(-1)^2 +5(-1) +3
-4-5+3
-6
Find the value of X. | Please help me!!
Answer:
x=90 degrees
Step-by-step explanation:
A pentagon's angles should add up to 540 degrees. There are 6 angles shown, two are given ( the bottom two are right angles which are 90 degree angles). So 560 divided by 6 [angles] is 90[degrees]. So, each angle is 90 degrees.
40 POINTS I WILL AWARD BRAINLIEST
Make up an equation that has one real solution and one imaginary solution. State the solutions.
An example is : (x-3)(x+sqrt2)
Solution : x=3 x=-sqrt2
Answer:
y=x=b=a=s
Step-by-step explanation:
a=s=d=a=s=d=a
Which transformation takes ABCD to A’B’C’D?
A.dilation
B.rotation
C.reflection
D.translation
What are the intercepts for the equation? Select all that apply. x + y = 4 *
(-4, 0)
(0, -4)
(0, 4)
(4, 0)
Answer:
y intercept (0, 4)
x intercept (4, 0)
I hope this is good enough:
Item 8
POSSIBLE POINTS: 11.11
In math class, the teacher asked students to randomly select a card and roll a number cube. There were 6 yellow cards, 4 blue, 8 red and 7 green cards. The number cube was numbered 1 through 6. What was the probability of choosing a green card and rolling an odd number?
14%
24%
48%
36%
Answer:
24% is the answer
Step-by-step explanation:
Question 15
Consider this set of ordered pairs: {(-2,-1), (2,1), (1,5), (-2,4)}. What is the range?
A
{-2, 1, 2}
B
All Real Numbers
С
{-1, 1,4,5)
D
{-2,-1, 1, 2, 4, 5)
Answer:
Option (C)
Step-by-step explanation:
Domain of a function is a set of x-values (input values) of the function.
Similarly, Range of a function is a set of y-values (output values).
Given set of ordered pairs is {(-2, -1), (2, 1), (1, 5), (-2, 4)}.
Domain → {-2, 2, 1, -2}
Range → {-1, 1, 4, 5}
Option C will be the correct option.
Select the correct answer. If we divide the polynomial by , what will be the remainder?
Answer:
we don't see the questions that goes for the selections
4. A couple has 4 children. What is the probability that they have at least 2 girls?
2x 22/7 x 35 x 100
Plz tell me fastttt
Answer:
22000
Step-by-step explanation:
[tex]2 \times \frac{22}{7} \times 35 \times 100[/tex]
35 is divisible by 7. So reducing 35 by 7 gives 5.
[tex] = > 2 \times 22 \times 5 \times 100[/tex]
Lets multiply 2 & 5 for making the calculation easy.
[tex] = > 22 \times 10 \times 100 = 22000[/tex]
Find the measures of the interior angles.
Answer:
x=41 degrees
c=90 degrees
Step-by-step explanation:
please give branliest i hope this helps
ILL MARK U BRAINLIEST IF U EXPLAIN!!
Answer:
93
Step-by-step explanation:
the total of all those are 150 so if you multiply it by three you get 450
so multiply pizza by three too
to get 93
Answer:
93 students
Step-by-step explanation:
You first need to add up all the numbers on the chart, 36 + 29 + 54 + 31. You would then get 150. Divide 450 / 150 = 3. You multiply the amount of students chose pizza by 3 and you get 93. 31 * 3 = 93.
Therefore, 93 students would say pizza is there favorite food.
Hope this helps :)
the pic is my answer. try to be fast with it.
Answer:
i would say the 3rd answer
Answer:
Find 50% of 3000
Step-by-step explanation:
PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((
Ms. Sakai rode her bike 7.25 miles on Friday. She then rode 12.3 miles on Saturday and then 7.3 miles on Sunday. How many total miles did she ride over those three days?
Answer:26.85 miles
Step-by-step explanation: 7.25+12.3+7.3=26.85
help again thanks lol
Answer:
A
Step-by-step explanation:
Answer:
[tex] \boxed{ - \frac{ - 4}{ - h} }[/tex]
4(2x−3)= 28 solve for x
Answer:
5
Step-by-step explanation:
multiply
8x - 12 = 28
add 12 to both sides
8x = 40
divide
5
Answer:
Start with what we know:
4(2x-3) = 28
Now we do rainbow property aka distributive property:
4*2x=8x
4*-3=-12
now we have:
8x - 12 = 28
we have to get 8x alone:
we will add 12 to both sides:
8x= 40
now we have to get x alone:
8x/8=x
40/8=5
now we put that into a equation:
x=5
josh wants to determine the number of loaves of breads he can bake using the 13 1/3 cups of flour he has. if each loaves requires 3 4/5 cups of flour, how many loaves can josh bake? 1) 3 loaves of bread 2) 4 loaves of bread 3) 50 loaves of bread 5) 51 loaves of bread
The answer is
3 loaves of bread
Which of the following questions below can be answered using the sum -12+10
1. Write the equation of the line with y-intercept 3
and a slope of -2/3and graph it.
Answer:
y=[tex]\frac{-2}{3}[/tex]+3
Step-by-step explanation:
The equation is y=mx+b
m is your slope
b is your y-intercept
The graph should cross the y-intercept on the y-axis 3 and be a negative slope (left to right diagonal) Place a point on y=3 go down 2 and then right 3