Answer:
[tex]\displaystyle \sin(2A)=\frac{-4\sqrt{21}}{25}[/tex]
Step-by-step explanation:
We are given that:
[tex]\displaystyle \cos(A)=\frac{2}{5}\text{ and } \tan(A)<0[/tex]
And we want to determine the value of:
[tex]\sin(2A)[/tex]
First, since cos(A) is positive and tan(A) is negative, this means that ∠A must be in QIV.
In QIV, cosine is positive, sine is negative, and tangent is also negative.
The given ratio tells us that the adjacent side to ∠A is 2, and the hypotenuse is 5.
Then by the Pythagorean Theorem, the opposite side will be given by:
[tex](2)^2+o^2=(5)^2[/tex]
Solve for the opposide side:
[tex]o=\sqrt{5^2-2^2}=\sqrt{21}[/tex]
So, with respect to ∠A, the adjacent side is 2, the opposite side is √(21), and the hypotenuse is 5.
Using the double-angle identity, we can rewrite our original expression as:
[tex]\sin(2A)=2\sin(A)\cos(A)[/tex]
Using the above information, substitute in values. Remember that cosine is positive and that sine is negative:
[tex]\displaystyle \sin(2A)=2\Big(-\frac{\sqrt{21}}{5}\Big)\Big(\frac{2}{5}\Big)[/tex]
Simplify. Therefore:
[tex]\displaystyle \sin(2A)=\frac{-4\sqrt{21}}{25}[/tex]
Answer:
sin 2A=2sin Acos A
=2×2/5×√21/5=±4√21/25
Step-by-step explanation:
cos A=2/5
B/H=2/5
corresponding value we get
B=2
H=5
by using Pythagoras law
H²=P²+B²
5²=P²+2²
P²=25-4
p=√21
now
sin A=P/H=√21/5
now
sin 2A=2sin Acos A=2×2/5×√21/5=±4√21/25
Help ASAP 15 Points
No spam answers please
Find BC.
Round to the nearest tenth.
А
84°
16
B
51°
Use the graph to write a linear function that relates y to x
can someone help please, thank you :)
Answer:
y = 1/3x + 3
Step-by-step explanation:
Points on the graph: (0, 3) and (3, 4)
Slope:
m=(y2-y1)/(x2-x1)
m=(4-3)/(3-0)
m= 1/3
Point-slope intercept:
y - y1 = m(x - x1)
y - 3 = 1/3(x - 0)
y - 3 = 1/3x
y = 1/3x + 3
Find any integer between
-3.92 and 12,4
Answer:
There are 16 integers between -3.92 and 12.4
Step-by-step explanation:
If we want to find the integers between two numbers we just need to subtract the integer numbers of the interval.
The integer interval will be:
[tex][-3,12][/tex]
Now, we subtract them:
[tex]12-(-3)=12+3=15[/tex]
Let's recall that 0 is an integer
Therefore, the answer will be 16.
I hope it helps you!
10 points...............
Answer:
It should be the second one 4,18,6
Step-by-step explanation:
Let me know if that is right . . .
Hope this helps!
4. Three gallons of paint are used to paint 16 wooden signs. How
much paint did each sign use? Between what two whole numbers
does the answer lie?
Answer:
16/3 of a gallon; 5 and 6
Step-by-step explanation:
three gallons of paint are divided among 16 wooden signs. therefore, each sign used 16/3 of a gallon. this fraction is between the whole numbers of 5 and 6.
"Although Jhon was alive once more that doesn't mean that he was happy. he had fun with his dead mom and a gas truck. " which book is this from
harry poter
emile and the pengins
bob the builder
my wii is broke I need help
all and the panda of fireeeeeeee
cred we pop
can I see ur pe pe
thanks bro
also jk plz don't
Ngithanda iglu kuyinto enhle enamathelayo ngiyabonga bantu
Answer:
um i think all the panda of fireeeeeeee
Step-by-step explanation:
:D
Calculate the measures of spread for Mrs. Hampton’s class data. Justify your response by describing the process used to find each measure. (10 points)
Can you please help.
I'm kinda dum.b and I don't really understand whats going on. Please don't answer just for points.
Answer:
Step-by-step explanation: Dot plot for movies seen by a students in a month
To Find : measures of spread
Solution:
Movies frequency cumulative frequency
0 1 1
1 0 1
2 0 1
3 0 1
4 3 4
5 8 12
6 3 15
7 1 16
8 5 21
9 2 23
10 3 26
Range = 10 - 0 = 10
Q2 = (6 + 6)/2 = 6 (13th + 14t)/2
Q1 = 5 7th
Q3 = 8 20th
IQR = Q3 - Q1
= 8 - 5
= 3
I am at 4 inches represents 240 miles what is the scale of the map
Answer: 1 inch = 60 miles
Step-by-step explanation:
This is simple
We need to take what we are given
240 miles with 4 inches
Let's divide 240 by 4 to get miles per inch
240/4
60 miles per inch
Answer:
60 miles per inch
Step-by-step explanation:
Hope this will help
A right triangle has a leg of 15 feet and a second leg of 24 feet. Find the length of the hypotenuse
to the nearest hundredth of a foot.
Answer:
9
Step-by-step explanation:
-
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! HELP !!!!!!!!!!!!!!!!!!!!!!!!!!
Adrian
Marlon had 6 hits in 15 at bats. How does Marlon's
hits to at bats ratio compare to Adrian's?
Adrian had 4 hits in 10 bats.
Answer:
Hence, both Marlon and Adrian both have the same at bats percentage.
Step-by-step explanation:
Marlon's at bats :
Number of at bats = 15
Hits = 6
Hit percentage = 6/15 * 100% = 40%
Adrian :
Number of at bats = 10
Hits = 4
Hit percentage = 4/10 * 100% = 40%
Hence, both Marlon and Adrian both have the same at bats percentage.
Can anyone help me please?
I’ll mark you as a brainliest
Answer:
A
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
It is C because if you multiply each number on the left by 250 and then add 500, you will get the number on the right.
4 x 250 = 1000 + 500 = 1500
8 x 250 = 2000 + 500 = 2500
10 x 250 = 2500 + 500 = 3000
13 x 250 = 3250 + 500 = 3750
Sebastian grew 21-3 inches each year for the past 3 years. How many inches total has Sebastian grown in the past 3 years?
Answer:
the Answer is 21.3 x 3
Step-by-step explanation:
inches that grew each year for the past 3 years - 21.3
SO here 1 year = 21.3 inches
and it is asked about 3 years so we have to multiply 21.3 inches x 3 times ( 3 years).
Answer:
//
Step-by-step explanation:
You manage a warehouse and need to replace a forklift.
Alocal retailer sells the model you want for $1,299 plus a
6% sales tax. A store located just over the state line sells
the same model for $1,359 plus a 4% sales tax.
Answer:
If youre trying to see which is cheaper, the local forklift would cost $1376.94 after tax. The other forklift would cost $1413.36.
Step-by-step explanation: Hope that helped
The cost after the sale will be $1376.94 and $1413.36.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol ‘%’ is used to symbolize it.
You manage a warehouse and need to replace a forklift.
A local retailer sells the model you want for $1,299 plus a 6% sales tax. Then the cost after the sale will be
⇒ (1 + 0.06) x 1299
⇒ $1376.94
A store located just over the state line sells the same model for $1,359 plus a 4% sales tax. Then the cost after the sale will be
⇒ (1 + 0.04) x 1359
⇒ $1413.36
Your question was incomplete, probably the question was ...
What is the cost after the sale?
More about the percentage link is given below.
https://brainly.com/question/8011401
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Which of the following numbers could not be used to describe a distance walked?
O 12 feet
O - 140 feet
130 feet
O |-125 feet
Home | Lesson AS...
acer
Answer:
You cant use acre to describe distance walked
Step-by-step explanation: Because 1 acre is 43560ft
Please help me, I will give the best answer brainliest. I have a deadline finish of today, and I really want to get my work done... The following figures show the first two steps of a proof of the pythagorean theorem, which of the following statements about this proof is false? Thank you if you can help :)
Answer:
so since there isn't any pics to work with, here we go.
the pytha theorem states that a^2 + b^2 = c^2, you've probably seen/heard this all the time but really know what it means.
It means the the shorter side of the triangle (the ones that aren't the hypotenuse) multiplied by themselves, and then added together equals the hypotenuse also multiplied by itself.
So if i have a triangle with sides lengths of 3 and 4, and I want to calculate the hypotenuse length, the equation would be 3^2 + 4^2 = x^2
we then get 9 + 16 = x^2 –––––> 25 = x^2 ––––> √25 = x
so the hypotenuse equals 5.
hope this helps.
Consider the triangles shown.
Which variable represents the length of an adjacent leg for a 40° angle?
A.c
B.x
C.y
D.z
For which value of x is the row in the table of values the incorrect? The function is quadric function y=5x^2
A. x=5
B. x=0
C. x=3
D. x=2
Answer:
x = 2
Step-by-step explanation:
Substitute x = 2 into y = 5x² , that is
y = 5(2)² = 5(4) = 20 ≠ 10
Thus (x, y ) = (2, 20 ) and not (2, 10 )
please i need this asap since it is due soon
Answer:
1. 6.56 2. 12.17
Step-by-step explanation:
I hope this helps!!
What’s the value of x?
Answer:
uhh
Step-by-step explanation:
i no get this
A circle has two tangents AB and AC that intersect in the exterior of the circle. If the measure of the arc closest to the intersection is 118°, determine the measure of ∠A
Answer:
62
Step-by-step explanation:
[tex]360 - 118 = 242[/tex]
[tex] \frac{242 - 118}{2} = 62[/tex]
Angle a=62
The Miller family must drive 8 hours to reach their destination. They drive 3 2/3 hours before stopping for the first time. Then they drive 2 3/5 hours before stopping again. How many more hours will it take the Miller family to reach their destination? Use paper to show your work. Enter your answer in the box.
Answer:
1 7/10 hours
Step-by-step explanation:
They need to drive a total of 8 hours. After they drive 3 2/3 hours, they have 4 1/3 left. Then, after another 2 3/5 hours, they now have 1 7/10 hours left.
The number of hours will it take the Miller family to reach their destination is 1¹¹/₁₅ hours.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the Miller family must drive 8 hours to reach their destination. They drive 3²/₃ hours before stopping for the first time. Then they drive 2³/₅ hours before stopping again.
The time will be calculated as,
Time = 8 - 3²/₃ - 2³/₅
Time = 8 - 11/ 3 - 13 / 5
Time = 26 / 15
Time = 1¹¹/₁₅ hours
To know more about an expression follow
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Score: 0 of 1 pt
x 7.3.7
Amanter on the edge of a mol has the shape a rectangular prism. It is 9 inches high, 2 inches wide, and 14 feet long. How much water can the gutter hold in cubic inches in gallons? Use the fact that
1231 inches
The gather canto cubic inches of water
Answer:
1.1 gallons
Step-by-step explanation:
Given that the shape of the gutter is in the form of a rectangular prism with length 14 feet, width 2 inches and of height 9 inches.
The volume of the gutter = length x width x height
= 14 x 2 x 9
= 252
The volume of the gutter = 252 cubic inches
But with the given fact, we divide the volume determined by 231 inches.
Then,
the required volume in gallons = [tex]\frac{252}{231}[/tex]
= 1.090908
The gutter can hold water of 1.1 gallons.
help pls i will give brainliest
Answer: Option 'D' is correct.
Explanation:
We are required to find that length of sides which cannot be sides of triangle,
As we know that " Sum of two sides is always greater than the third side "
If any option does not follow the above postulate that will be our required answer :
D) 21 m, 6 m, 10 m
So, 21 m, 6 m, 10 m cannot be the length of any triangle as it does not satisfy the above mentioned postulate .
What is a tree diagram?
a
A drawing with branches of all possible outcomes
b
A written list of all possible outcomes
c
A description of all possible outcomes
Answer:
Ok so a tree diaphragm is used in math. The answer is b a written list because it’s a little small diaphragm used for math also I’m in sixth grade
Step-by-step explanation:
Khan Academy
Multiplying decimals like 2.45x3.6 (standard algorithm)
6.13 x 8.6 = ?
Report a
Stuck? Watch a video or use a hint.
Answer:
52.718
Step-by-step explanation:
6.13 x 8.6 equal 52.718
in short
52.71
Answer:
52.718
Step-by-step explanation:
6.13x8.6=52.718
1
Determine the value of k if g(x)=4x+k is a tangent to f(x)=-x²+8x+20
Answer:
k=24
Step-by-step explanation:
The tangent of the function f at x=a, can be found by differentiating f w.r.t. x and then replacing x with a.
f=-x^2+8x+20
Differentiating both sides:
f'=(-x^2+8x+20)'
By sum rule:
f'=(-x^2)'+(8x)'+(20)'
By constant multiple rule:
f'=-(x^2)'+8(x)'+(20)'
By constant rule:
f'=-(x^2)+8(x)'+0
By power rule:
f'=-2x+8
f' at x=a is -2a+8
This is the slope of any tangent line to the curve f.
The slope of g is 4 if you compare it to slope intercept form y=mx+b.
So we gave -2a+8=4.
Subtracr 8 on both sides: -2a=-4
Divide both sides by -2: a=2
The tangent line to the curve at x=2 is y=4x+k.
To tind y we must first know the y-coordinate of the point of tangency.
If x=2, then
f(2)=-(2)^2+8(2)+20=-4+16+20=12+20=32
So the point is (2,32).
g(x)=4x+k and we know g(2)=32.
This gives us:
32=4(2)+k
32=8+k
k=32-8
k=24
From the tangent given, the value of k will be 24.
How to solve the tangentFrom the information given, g(x) = 4x + k and this is a tangent to f(x)= -x² +8x + 20.
f(x)= -x² +8x + 20
= f'(x) = -2x + 8
The slope of tangent = -2x + 8 at (x , y)
g(x) = 4x + k
Hence, slope = 4
-2x + 8 = 4
Collect like terms
-2x = 4 - 8
-2x = - 4
Divide both side by -2
-2x/-2 = -4/-2
x = 2
f(x)= -x² +8x +20
where, x = 2
y = -2² + 8(2) + 20
y = 32
Hence (2 , 32) lies on g(x)= 4x+k
32 = 4(2) + k
32 = 8 + k
k = 32 - 8
k = 24
In conclusion, the value of k is 24.
Learn more about tangent on:
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WORTH 50 POINTS!!!!!!!!!!!!!!!
1. What is the degree of the monomial 3x^2y^3?
A. 2
B. 3
C. 5
D. 6
2. What is the simplified form of 8b^3c^2 + 4b^3c^2 ?
A. 12bc
B. 12b^3c^2
C. 12b^6c^4
D. 12b^9c^4
3. What is the simplified form of (4j^2 + 6) + (2j^2 + 3) ?
A. 6J^2 --- 3
B. 6J^2 + 3
C. 6J^2 + 9
D. 4J^4 + 3
4. what is the difference of the following polynomials?
(6x^3 - 2x^2 + 4)
- (2x^3 + 4x^2 - 5)
------------------------------------
A. 4x^3 - 2x^2 - 1
B. 8x^3 + 6x^2 - 1
C. 4x^3 - 2x^2 + 1
D. 4x^3 - 6x^2 + 9
( OKAY THIS ONE EVEN HARDER ;-; )
5. f (x) = 3x^3 - 4x^2 + 6x and g (x) = 5x^3 + 2x^2 - 3x. What is f (x) - g (x) ?
A. -2x^3 - 6x^2 + 9x
B. -2x^3 - 6x^2 - 3x
C. 2x^3 + 6x^2 + 3x
D. 8x^3 - 6x^2 - 9x
------------------------------------------------------------------------------------------------------------------
i need my grades to improve a bit so please help ;(
(if you wanna do some work while listening to sugarcrash for an hour then i will send you da link!)
Answer:
2. 6j^2 + 3
Step-by-step explanation:
Answer:
A=5283
Step-by-step explanation:
Which equations have 8 as a solution?
11−t=3
t+6=15
5t=40
64÷t=8
Answer:
64/t = 8
Step-by-step explanation:
If the answer is eight, then t + 8. Because 64/8 = 8.