Find tan(13pi/4)-cos(pi/3)
Answer: [tex]tan(\frac{13\pi }{4})-cos(\frac{\pi }{3})=\frac{1}{2}[/tex]
Step-by-step explanation:
To find [tex]tan(\frac{13\pi }{4})-cos(\frac{\pi }{3})[/tex], we first need to understand the unit circle. Let's find the value of tan and cos before we subtract them.
[tex]tan(\frac{13\pi }{4} )[/tex] is the same as [tex]tan(\frac{5\pi }{4} )[/tex]. The point for [tex]\frac{5\pi }{4}[/tex] is (-0.5,-0.5). Tangent is [tex]\frac{sin}{cos}[/tex]. Since sin and cos are both -0.5, we can divide them.
[tex]\frac{-0.5}{-0.5} =1[/tex]
Now, we know that [tex]tan(\frac{13\pi }{4} )=1[/tex]. All we have to do is find [tex]cos(\frac{\pi }{3})[/tex].
[tex]cos(\frac{\pi }{3})=\frac{1}{2}[/tex]
Now that we know the values of both, we can directly subtract them.
1-0.5=0.5
Therefore, [tex]tan(\frac{13\pi }{4})-cos(\frac{\pi }{3})=\frac{1}{2}[/tex].
Solve the equation algebraically (x-8)^2=25
Hey there!
ANSWER: [tex]x=8,13[/tex]EXPLANATION:[tex](x-8)^2=25[/tex]
To solve this equation, you will need to simplify both sides.
[tex]x^2-16x+64=25[/tex]
Now we will need to minus(subtract) 25 from both sides of the equation.
[tex]x^2-16x+64-25=25-25=x^2-16x+39=0[/tex]
Now we will need to factor out the left side.
[tex](x-3)(x-13)=0[/tex]
In our last step, we will need the set factors equal to zero.
[tex]x-3=0\\x-13=0\\x=3(ANSWER)\\x=13(ANSWER)[/tex]
Hope this helps!
[tex]\text {-TestedHyperr}[/tex]
The square of root of 7/8?
Answer:
[tex]\frac{\sqrt{14} }{4}[/tex]
Find a2 and a3. a1=–5 an=6an–1 Write your answers as integers or fractions in simplest form. a2= a3=
The value of a2 and a3 given the formula an = 6an – 1 are -61 and -91 to respectively
Given:
an = 6an – 1
where,
a1, = first term= -5
n = number of terms
a2 = second term
a3 = third term
an = 6an – 1
a2 = (6 × -5 × 2) - 1
= (-60) - 1
= -60 - 1
a2 = - 61
an = 6an – 1
a3 = (6 × -5 × 3) - 1
= -90 - 1
a3 = -91
Therefore, the value of a2 and a3 are -61 and -91 respectively
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Kameron has 9 video games at his house. This is half as many games as Kevin has. Write an equation that demonstrates the relationship between how many games kameron and Kevin have.
Answer:
The answer is 18
Step-by-step explanation: Because 9 + 9 = 18 so therefore Kameron and Kevin has 27 video game in total :/
An angle in a triangle measures 138 °. The other two angles are congruent. Enter and solve an equation to find the x measure of the congruent angles. An equation is _______ = 180. Angles congruent with each measure ________
Hey there! I"m happy to help!
The interior angles of a triangle add up to 180. We have 2 angles that have a value of x, so 2x+138=180.
We subtract 138 from both sides.
2x=42
We divide both sides by 2
x=21.
Have a wonderful day! :D
It takes_ hours to reach the sea.
Answer:
it takes 1 hours to reach the sea.
Answer:
It takes 0.02 hours to reach the sea
Step-by-step explanation:
The answer is 0.02 hours because:
1) You have to divide 0.5 and 21
2) The answer would be: 0.0238095238
3) Now, round you answer to the nearest hundredth.
4) Your answer will be 0.02
Hope this helps!
2 bracket 2x-2 bracket=12
Find the value of x using angle properties. What is the measure?
Answer: x = 7
Step-by-step explanation: 16x = 4x + 84
15) The value of x would be 20.
16) The measure of angle BFH would be 100.
17) The value of x is, 7
Used the concept of angles in a parallel line which states that,
if a transversal intersects two parallel lines, the corresponding angles will be always equal.
Alternate angles are angles that occur on opposite sides of the transversal line and have the same size.
Given that,
In Figure 15, both angles are corresponding angles.
And, in Figure 17, both angles are Alternate angles.
Now, by definition of Alternate and Corresponding angles we get;
17) The angles DBF and angle EFB are congruent.
So, it can be equal.
16x = 4x+ 84
Subtract 4x on both sides,
16x - 4x = 84
12x = 84
Divide 12 on both sides,
x = 84/12
Therefore, the value of x is,
x = 7
15) The angles of CBD and BFH are conguent.
So, It can be equal.
5x = 3x + 40
Subtract 3x on both sides,
5x - 3x = 40
2x = 40
Divide 2 on both sides,
x = 40/2
x = 20
16) So, the measure of angle BFH is,
∠BFH = 3x + 40
= 3 × 20 + 40
= 60 + 40
= 100
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I need help and it’s due today
Answer:
5.63
Step-by-step explanation:
Angle NLM is equal to KLM - KLN.
Since KLM = 137° and KLN = 47°, NLM = °90. (Maybe it doesn't look like a right angle, but the math doesn't lie.)
Since NLM = 16y, then 90 = 16y.
Dividing both sides by 16, we find that:
y = 5.625
Answer:
y = 5.63
Explanation:
This answer is 5.23 because ∠KLN plus ∠NLM are equal to ∠KLM or 137°.
If you subtract 47 from 137 you will get 90. If you divide 90 by 16 you will get 5.625 which is rounded to 5.63.
Write a system of inequalities to match the graph and prove that the coordinate point (-10, -14) is in the solution set
Answer:
y < x - 2
y ≥ 2x + 5
Step-by-step explanation:
For the equation of the dotted line,
Slope of the line = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Since the dotted lines passes through the points (-7, -9) and (2, 0)
Slope = [tex]\frac{-9-0}{-7-2}[/tex]
[tex]m_1[/tex] = 1
Therefore, equation of the line passing through (2, 0) and slope = 1 will be,
y - y' = m₁(x - x')
y - 0 = 1(x - 2)
y = x - 2
Since, shaded area is below the dotted line,
y < x - 2 will be the inequality.
Slope of the solid line passing through (-7, -9) and (0, 5) is,
[tex]m_2=\frac{-9-5}{-7-0}[/tex]
= 2
Therefore, equation of the line passing through (0, 5) and slope = 2 will be,
y - 5 = 2(x - 0)
y = 2x + 5
Since, the given line is a solid line and shaded area is above the line,
y ≥ 2x + 5 will be the inequality.
Since, (-10, -14) is lying in the common shaded area of both the inequalities, it will be the solution set of the graphed inequalities.
How do you write 28 and 65 thousandths in decimals?
Answer:
28.065
Step-by-step explanation:
The first spot behind the decimal point is tenths, the second hundredths, and the third thousandths.
A rectangular lawn has a width of 3 1/2 yards. The length of the lawn is 2 yards. What is the area
Answer:
7 yards
Step-by-step explanation:
Multiply length and width wen finding the area so 3 1/2 time 2
Answer:
7 yards
Step-by-step explanation:
Area= LxW
3 1/2 x 2=7
If a plant grows 1/4 cm everyday for 21 days, what is the total amount of growth PLS HELP
3 x² - 2x-1=0
solve using quadratic formula
Answer:
The answer to your question: x is -1/3 or 1
IS 7 LESS THAN OR GREATER THAN -3
Answer:
7 is greater than -3
Step-by-step explanation:
7 is positive meaning is more than any negative number
Answer:
7 is greater
Step-by-step explanation:
Graph it on a number line. 7 is on the positive side and -3 is the negative side, and positive numbers always are bigger than negative numbers.
I need help on this. An answer and an explanation would be great!!
Answer:
60 & 55
Step-by-step explanation:
1. the sum of the angles 1; 2 and 3 is 180°, then
m∠1=m∠2=m∠3; ⇒m∠3=60°;
2. m∠3=m∠r; ⇒ m∠r=60°;
3. m∠α= 180-(m∠r+65°)°; ⇒ m∠α=55°
all the details are in the picture.
Simplify the following expression.
(38x+61y)-(3x-11y)
the answer is 35x+72y for plato im only putting this question up to help people with the same problem i had, ill give brainliest out to the first person who works this out and gives a intelligent response.
Answer:
35x+72y
Step-by-step explanation:
well you are subtracting the terms 3x and -11y from the terms 38x and 61y. so to start you multiply 3x and -11 by negative one to get rid of the parentheses. you then you combine like terms.
125 is.a perfect square or perfect cube
Answer:
Perfect cube
Step-by-step explanation:
5 x 5 x5 = 125
5x5= 25
25x5 =125
Answer:
It is a perfect cube with sides of 5.
Step-by-step explanation:
If 125 was a perfect square, there would be a whole number A which, squared, would give us 125.
[tex]A^2 = 125\\A = \pm 11.18...[/tex]
We can see that the roots are not whole numbers.
(Tip: without a calculator, we can find this by testing [tex]10^2 \ 11^2\ 12^2[/tex] to see if any give us 125. We get 100, 121, 144 respectively. None of them is 125.)
If it was a perfect cube, there would be a whole number B which, cubed, would give us 125.
[tex]B^3 = 125\\B = \sqrt[3]{125} \\B = 5[/tex]
As we can see, there IS a whole number B: 5 !
(Without a calculator, like the previous one, we could try [tex]4^3\ 5^3\ 6^3[/tex] and we'd find that [tex]5^3[/tex] = 125)
Answer: It is a perfect cube with sides of 5.
find the solution to K+1=3k-1
Answer: k=1
Step-by-step explanation: Isolate the variable by dividing each side by factors that do not contain the variable.
I hope this helps you out! :)
Step-by-step explanation:
the answer would be k=1
m. MRO = 127° m. MRP = 87º and m. NRQ = 83
Find m NRP
Answer:
don't know answer what is answee
Evaluate v(x) = 14 – 3x when x = -3,0, and 4.
v(-3) =
v(0) =
v(4) =
[tex]v(x) = 14 - 3x\\v(-3) = 14 - 3 \cdot (-3) = 14 + 9 = 23\\v(0) = 14 - 3 \cdot 0 = 14 - 0 = 14\\v(4) = 14 - 3 \cdot 4 = 14 - 12 = 2[/tex]
3x + 1 = 5X-13 if anyone knows what to do can they please help
Answer:
x = 7
Step-by-step explanation:
First, you look at the equation. Identify the locations of variable terms (both sides of the equal sign) and the constant terms (both sides of the equal sign).
If there are any parentheses, it is a good idea to use the distributive property to eliminate them. Here, there are none.
I like to start by subtracting the variable term with the smallest coefficient. Here, that is 3x, so we add -3x to both sides of the equation.
3x -3x +1 = 5x -3x -13
1 = 2x -13 . . . . . . . . . . . . combine like terms
Now, we have the only variable term on one side of the equal sign. We want it by itself, so we need to make the -13 go away. We do that by adding its opposite to both sides of the equation:
1 +13 = 2x -13 +13
14 = 2x . . . . . . . . . . . . combine like terms
Finally, we want the coefficient of 2 in the x-term to disappear. We make that happen by multiplying both sides of the equation by 1/2, the reciprocal of that coefficient.
(1/2)(14) = (1/2)(2x)
7 = x . . . . the solution
__
It is generally a good idea to check your work by seeing if your solution value satisfies the equation:
3(7) +1 = 5(7) -13 . . . . put 7 where x is in the original equation
21 +1 = 35 -13
22 = 22 . . . . . . x = 7 is the solution
_____
Additional comment
By subtracting 3x from 5x, the result is 2x with a positive coefficient. We could solve the equation just as easily by subtracting 5x from 3x. That result would be ...
-2x +1 = -13
Subtracting 1 would give
-2x = -14
and you would multiply by -1/2 to get x=7. I personally like to avoid having this many minus signs show up in the problem. That is why I choose to subtract the x-term with the smallest coefficient.
Perform the row operation 1/3R1 and replace R1 on the following matrix
[3 0 0|21]
[0 6 0|5]
[0 0 7|5]
Answer:
[tex]\left[\left.\begin{matrix}1 & 0 & 0\\ 0 & 6 & 0\\ 0 & 0 & 7\end{matrix}\right|\begin{matrix}7\\ 5\\ 5\end{matrix}\right][/tex]
Step-by-step explanation:
The given augmented matrix is
[tex]\left[\left.\begin{matrix}3 & 0 & 0\\ 0 & 6 & 0\\ 0 & 0 & 7\end{matrix}\right|\begin{matrix}21\\ 5\\ 5\end{matrix}\right][/tex]
Here, we need to perform the row operation [tex]\dfrac{1}{3}R_1[/tex] and replace [tex]R_1[/tex] in the above matrix.
So, divide each element of [tex]R_1[/tex] in the given matrix and other elements remain same.
[tex]\left[\left.\begin{matrix}\dfrac{3}{3} & \dfrac{0}{3} & \dfrac{0}{3}\\ 0 & 6 & 0\\ 0 & 0 & 7\end{matrix}\right|\begin{matrix}\dfrac{21}{3}\\ 5\\ 5\end{matrix}\right][/tex]
[tex]\left[\left.\begin{matrix}1 & 0 & 0\\ 0 & 6 & 0\\ 0 & 0 & 7\end{matrix}\right|\begin{matrix}7\\ 5\\ 5\end{matrix}\right][/tex]
Therefore, the required matrix is [tex]\left[\left.\begin{matrix}1 & 0 & 0\\ 0 & 6 & 0\\ 0 & 0 & 7\end{matrix}\right|\begin{matrix}7\\ 5\\ 5\end{matrix}\right][/tex].
Which is the correct interpretation of the x-intercepts of the function? Their difference is the number of the most promo codes in a single day. Their sum is the total number of days the number of codes increased. Their sum is the total number of promo codes the publicist is releasing before the new record. Their difference is the number of days the first promo codes were released before the new record.
Answer:
d
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
provide brainliest plz I need that bread
ITS EASY PLS HELP !!!
Answer: i have no idea
Step-by-step explanation:
Please help with my music math
t=h+kg isolate g rearrange the formula above
Answer:
[tex]\frac{\left(t-h\right)}{k}\\[/tex] = g
Step-by-step explanation:
Subtract the h
t = h+kg
-h -h
you get:
t-h=kg
now divide the k from both sides
[tex]\frac{\left(t-h\right)}{k}\\[/tex] = [tex]\frac{\left(kg\right)}{k}[/tex]
so,
[tex]\frac{\left(t-h\right)}{k}\\[/tex]=g
(x+5)(x-5) Multiplying special case polynomials
Answer:
x^2 - 25 ✔
Step-by-step explanation:
(x+5)(x-5)
x(x-5) +5(x-5)
x^2 - 5x + 5x - 25
x^2 - 25
4. Which expression represents a number greater than 8,000 but smaller than 80,000
Answer:
8000<x<80000
Step-by-step explanation:
a number(x) is greater than (<) 8000
and x is also less than(<) 80000