The value of sin(2x) is [tex]\sin(2x) = - \frac{\sqrt{15}}{8}[/tex]
How to determine the value of sin(2x)The cosine ratio is given as:
[tex]\cos(x) = -\frac 14[/tex]
Calculate sine(x) using the following identity equation
[tex]\sin^2(x) + \cos^2(x) = 1[/tex]
So we have:
[tex]\sin^2(x) + (1/4)^2 = 1[/tex]
[tex]\sin^2(x) + 1/16= 1[/tex]
Subtract 1/16 from both sides
[tex]\sin^2(x) = 15/16[/tex]
Take the square root of both sides
[tex]\sin(x) = \pm \sqrt{15/16[/tex]
Given that
tan(x) < 0
It means that:
sin(x) < 0
So, we have:
[tex]\sin(x) = -\sqrt{15/16[/tex]
Simplify
[tex]\sin(x) = \sqrt{15}/4[/tex]
sin(2x) is then calculated as:
[tex]\sin(2x) = 2\sin(x)\cos(x)[/tex]
So, we have:
[tex]\sin(2x) = -2 * \frac{\sqrt{15}}{4} * \frac 14[/tex]
This gives
[tex]\sin(2x) = - \frac{\sqrt{15}}{8}[/tex]
Read more about trigonometry at:
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Answer:
B
Step-by-step explanation:
on Edge
Estimate the square root to the nearest integer.
Answer:
14 is the answer have a nice day
I need help pleaseeeee
Find the equation of each line.
help help help please
Answer:
n: y= X - 1
m: y= -2x + 4
l: y= 4
The volume of the sphere with the radius of 5.9 in pi form is
Just this one I need help with,thank you
Answer:
f(1)=8
Step-by-step explanation:
f(1)= 7(1-1)+8
f(1)= 7(0) +8
f(1)= 0+8
f(1)= 8
The Smiths purchased 6 containers of ice cream for a party.
Each container holds 9 cups of ice cream
Before the party, their sons ate 3 cups of ice cream altogether
What fraction of the original amount ice cream purchased did the Smiths’ sons eat?
1. 1/3
2. 2/3
3. 1/18
4. 17/18
Answer: 17/18
Step-by-step explanation: Multiply the amount of containers and the amount of cups in each container. Subtract 3. This is 51 out of 54, simplify this and get 17 out of 18.
Answer:
the answer is 1/18
Step-by-step explanation:
6×9=54-3=51.
One third and two thirds are too large for the amount he ate, so is 17/18s.
so I solved this problem already but I have to explain how I solved it but I used Photomath so how would you explain how you solved this problem
Problem: y-10=-3(x-2)
Answer:
Remove parentheses.
y-10=-3\times -2y−10=−3×−2
2 Simplify 3\times -23×−2 to -6−6.
y-10=-(-6)y−10=−(−6)
3 Remove parentheses.
y-10=6y−10=6
4 Add 1010 to both sides.
y=6+10y=6+10
5 Simplify 6+106+10 to 1616.
y=16y=16
i need help to solve please
Answer:
x = 8
Step-by-step explanation:
Angle sum property of triangle states that the sum of interior angles of a triangle is 180°.
So,
[tex] \rm \longrightarrow 45 \degree + 80 \degree + (9x - 17) \degree = 180 \degree \\ \\ \rm \longrightarrow 125 + 9x - 17 = 180 \\ \\ \rm \longrightarrow 108 + 9x = 180 \\ \\ \rm \longrightarrow (108 - 108) + 9x = 180 - 108 \\ \\ \rm \longrightarrow 9x = 72 \\ \\ \rm \longrightarrow \dfrac{9}{9} x = \dfrac{72}{9} \\ \\ \rm \longrightarrow x = 8[/tex]
PLEASE solve both question with each step!!
Answer:
6x+10-3x=55
6x-3x=10+55
3x=65
65÷3=21.6
Simplify the expression.
−2.2f+0.4f−13−4
−2.2f+0.4f−13−4=nothing
(Simplify your answer. Use integers or decimals for any numbers in the expression.)
Answer:
-1.8f - 19
Step-by-step explanation:
Marjorie bought 24 bottles of juice. Each day she opens and drinks 2 of these bottles of juice. Which inequality represents the greatest number of days she can continue before she has to replenish her stock? Answers 2d>24, 2d<24, 2d≤24, 2d≥24
Answer:
2d≤24
Step-by-step explanation:
Total number of bottled juice bought = 24 bottles
Amount she drank each day = 2 bottles
To get the inequality to represent greatest number of days she can continue before she has to replenish her stock, we will say;
1 day = 2 bottles
d days = 24 bottles
Cross multiply
2 * d = 1 * 24
2d = 24
Since we want to know the greatest number of days she can continue before she has to replenish her stock, the equal to to sign will be replaced with less than or equal to sign as shown;
2d≤24
This shows that the maximum number of days she can continue before replenishing is 12days. It cannot exceed
PLEASE HELP ASAP!!!! i’ll mark brainlest
Answer:
D
Step-by-step explanation:
Susan buys a movie ticket for $12.50 and 3 buckets of popcorn that cost $14.20 each with her $100. Which statement is true?
Answer:
b
Step-by-step explanation:
Hgguby
Can someone help me please
I’ll mark brainliest
The rate of change is $__mile
Answer:
28000 $
Step-by-step explanation:
hope enjoy your day
Answer:
.18
Step-by-step explanation:
Use slope formula
[tex] \frac{y2 - y1}{x2 - x1} [/tex]
substitute the points given into formula
(8000,1400) and (18000,3200)
x1 y1 x2 y2
[tex] \frac{3200 - 1400}{18000 - 8000} [/tex]
solve and you get .18
What values should go in Box A and Box B to make the regrouping in the minuend correct? Vertical subtraction. First line 9.318. The digit 3 in the tenths place is crossed out and there is a box labeled A above it. The digit 1 in the hundredths place is crossed out and there is a box labeled B above it. Second line minus 4.165. Enter your answers in the boxes.
The subtraction process for the operation, 9.318 - 4.265 gives;
A = 0.2, and B = 0.11
Which process can be used for number subtraction involving decimals?The given operation is a subtraction of 4.165 from 9.318,
The numbers can be arranged as follows;
AB
9.318
-4.165
The subtraction process is as follows:
Subtracting the numbers that have the same place values, gives;
Subtract the 0.005 from 0.008 to get 0.003 which
In the subtraction process, the 0.06 cannot be subtracted from the 0.01 on top of it.
To subtract, 0.1 is borrowed from 0.3 to give 0.3 - 0.1 = 0.2 and the borrowed 0.1 is added to 0.01 to give, 0.1 + 0.01 = 0.11
Therefore;
A = 0.2 and B = 0.11
The subtraction process is therefore;
² ¹¹
9.3 1 8
-4.1 6 5
5.1 5 3
Learn more about the subtraction with regrouping process here:
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Duane Coldren has a check for $343 and a check for $88.91.
He would like to deposit the checks and receive 7 ten-dollar, 4 one-dollar bills, 9 quarters, and 15 dimes.
What is his total deposit?
Answer:
NEED OIL
Step-by-step explanation:
write an equation to find the number of ounces n in any number of pounds p
Answer:
B. [tex] n = 16p [/tex]
Step-by-step explanation:
number of ounces = n
number of pounds = p
There are 16 ounces in 1 pounds (unite rate: 1 pounds = 16 ounces)
Therefore, there would be n ounces in p pounds
Set a proportion to find n.
16 : 1 = n : p
[tex] \frac{16}{1} = \frac{n}{p} [/tex]
Multiply both sides by p
[tex] \frac{16}{1} \times p = \frac{n}{p} \times p [/tex]
[tex] \frac{16 \times p}{1} = n [/tex]
[tex] 16p = n [/tex]
[tex] n = 16p [/tex]
If x=-2
f(x) = g(x),
is a solution to the equation
'which of these statements must be true?
The graphs of fand g intersect each other at
X = -2.
The graphs of f and g intersect each other at
X = 2.
-2.
The graphs of fand g intersect the x-axis at
-2.
The graphs of f and g intersect the y-axis at
Answer: I THINK it’s A
Step-by-step explanation:
5 8 of a rectangle is coloured red. Damien cuts this red part into a number of pieces so that each piece is 1 16 of the whole rectangle. If the area of the rectangle is 48 square centimetres, what is the area of each piece?
Answer:
3 cm²
Step-by-step explanation:
Given that:
5/8 of rectangle = red
Let area of rectangle = x
Each piece = 1/16 of whole rectangle
Area of whole rectangle = 48 cm²
Area of each piece = 1/16 of 48
1/16 * 48cm²
= 48 / 16 cm²
= 3 cm²
Hence area of each piece = 3cm²
Please help me on the second one. I do not know the answer
Answer:
63
Step-by-step explanation:
Just input 3 instead of x, you would get 14(3) + 21 = 63
Answer:
63
Step-by-step explanation:
14x + 21 = 14 *3 + 21
= 42 + 21
= 63
Please , can someone answer thisss TmT
Answer:
7
Step-by-step explanation:
We have that x1=−1, y1=5, x2=3, y2=7.
Plug the given values into the formula for a slope: m=7−(5)3−(−1)=12.
Now, the y-intercept is b=y1−mx1 (or b=y2−mx2, the result is the same).
b=5−(12)(−1)=112
Finally, the equation of the line can be written in the form y=b+mx:
y=112+x2
ANSWER
Answer:
-6
Step-by-step explanation:
can u mark me as a brainliest plz?
how do i Evaluate 4^2
Answer: 4 to the power of 2 is 16 or 4*4=16
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
4 times 4= 16
4*4=16
Due in 10 min
Need explination also
first helpfull answer will be brainlyest
this equation has one soulution 5(x-1)+3x=7(x+1) what is the soulution
Answer:
X=6
Step-by-step explanation:
5(x-1)+3x=7(x+1)
5x-5+3x=7x+1
8x-5=7x+1
8x-7x=1+5
X=6
So the answer is X=6
The Garzas have a kiddie pool and an adult swimming pool in their backyard. The kiddie pool is 7 feet long. The adult swimming pool is 42 feet long. How many times as long as the kiddie pool is the adult swimming pool?
Given:
The kiddie pool is 7 feet long. The adult swimming pool is 42 feet long.
To find:
How many times as long as the kiddie pool is the adult swimming pool?
Solution:
Let adult swimming pool is x times the kiddie swimming pool.
[tex]42=x\times 7[/tex]
[tex]42=7x[/tex]
Divide both sides by 7.
[tex]\dfrac{42}{7}=\dfrac{7x}{7}[/tex]
[tex]6=x[/tex]
Therefore, adult swimming pool is 6 times the kiddie swimming pool.
What does -3+5= equal
Answer:
2
Step-by-step explanation:
You know that -3 is smaller than 0 so you have to add 3 to get it to 0 then you get 2 more so you add 0 and 2 together to get 2.
Hope this helps please give brainliest
Please Help, I don't understand how to solve this!! Will mark BRAINLIEST!!!
Explain how you solve, plz!!
Answer:
5/4
Step-by-step explanation:
First plot any2 points. Next count how many units it is High and Left/Right to get to the second point!
(Added your graph for further explaination :)
First, determine 2 points on the graph. I'd recommend to choose 2 points that are next to each other to make it easier.
Second, see how many units higher the first point you chose (on the left) is than the second point you chose (on the right). Say it is 3 units, then you mark a points 3 units above the first point.
Third, see how many units to the right the second point is to the first. If it is 5 units, you would go to the point you marked on the previous step, and move 5 units to the right. If you did it correctly, it should end up on the second point you chose. The segment you drew should kind of look like a box.
Now, make a proportion. Put how many units you rose in the second step at the top, and how many you ran at the bottom. Treat this like a fraction and simplify. You have your slope!
Going higher and to the right is the formula rise/run. How many units do you rise, how many do you go right? I recommend doing this when finding slope on a graph
Hope I helped!!!!!!!!!!!!! :)
I neeeeeedddd helllpppss ** WILL GIVE BRAINLYST TO BEST ANSWER**
Answer:
Fraction: [tex]\frac{27}{8}[/tex]
Mixed Number: [tex]3\frac{3}{8}[/tex]
Step-by-step explanation:
We know how much strawberry jam there is, which is 3/4 of a jar. But we need to find how many jars the raspberry jam can fill. We are told that it is 4 1/2 times as much as the strawberry jam. So, you mulitly 3/4 and 4 1/2 to get [tex]\frac{27}{8}[/tex] or [tex]3\frac{3}{8}[/tex].
ANSWER: [tex]\frac{27}{8}[/tex] or [tex]3\frac{3}{8}[/tex].
Hope this helps and answers your question! :)
Why does it keep saying i have messages on this website and then when i click it, it isnt there
Answer: Maybe you're internet is slow or something.
Step-by-step explanation:
Given statements p and q below, which answer choice correctly states the bi conditional statement?
p: Three points are coplanar
q: Three points are collinear
A Three points are not collinear if they are coplanar.
B Three points are coplanar if and only if they are collinear.
C Three points are not coplanar if and only if they are not collinear.
D
Three points are collinear if they are not coplanar.
Answer: B, a bi-conditional statement is a if and only if statement, that is true.