Answer:
Step-by-step explanation:
[tex]sin^2({ \theta})+cos^2({ \theta})=1\\cos({ \theta})=-/+\sqrt{1-sin^2({ \theta})} \\cos({ \theta})=-\sqrt{1-sin^2({ \theta})} \\ --- > sin({ \theta})=\frac{1}{3} (known)\\cos({ \theta})=-\sqrt{1-sin^2({ \theta})} =-\sqrt{1-(-\frac{1}{3})} =-\sqrt{\frac{9-1}{9}} =-\frac{2x^{2} }{3}[/tex]
How do I do the math here? I am not sure how to set it up with having only one angle to work with.
Answer:
angle A = 112 degrees
Step-by-step explanation:
Angle ADC is bisected (given) ...so angle 1 = angle 2
then angle D = 68 degrees
now you have to remember that adjacent corners (angles on the same LEG) of a trapezoid sum to 180 (they are 'supplementary' )
angle A = 180 - 68 = 112 degrees
Which of the following function pairs are inverses?
Answer:
The answer is D.
Step-by-step explanation:
f(x) = 5x -3
y = 5x - 3
Switch y and x to find the inverse
x = 5y - 3
Solve for y.
x + 3 = 5y
y = (x+3)/5
g(x) = (x+3)/5
The race begins at a rate of 1.5 meter per second. What distance, d, is covered after t seconds?
Slope: y-intercept:
Equation:
The distance that would be covered after t seconds = 1.5t meters
Calculation of distanceThe speed of the race=distance/time =1.5m/s
The time given = t seconds
The distance (d) = ?
From the formula of speed = distance/time, make distance the subject of formula,
distance (d) = speed×time
= 1.5×t
= 1.5t meters
Therefore, the distance covered is 1.5t meters after t seconds.
Learn more about distance here:
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Tutorial
A line passes through the points (0, -8) and (-9, -9). What is its equation in slope-intercept
form?
Answer:
[tex]\boxed{\sf{y=\dfrac{1}{9}x-9}}[/tex]Step-by-step explanation:
To find:
Passes through the points of (0,-8) and (-9,-9).To use:
The slope and slope-intercept form formula.Given:
The slope of a line is often indicated by the letter m.
It can be calculated by selecting any two points on the line and calculating the rate of change between them.
[tex]\underline{\text{Slope:}}[/tex]
[tex]\Longrightarrow: \sf{\dfrac{y_2-y_1}{x_2-x_1}}[/tex]
y2=(-9)y1=(-8)x2=(-9)x1=0Solve.
[tex]\Longrightarrow: \sf{\dfrac{-9-\left(-8\right)}{-9-0}=\dfrac{-1}{-9}=\boxed{\sf{\dfrac{1}{9}}}[/tex]
The slope is 1/9.
Slope-intercept form:
All points (x,y) on the line have m slope and (0,b) y-intercept that satisfy the equation.
⇒ y=mx+b, y=b+mx and y=mx+cThe m represents the slope.
The b represents the y-intercept.
The y-intercept is -8.
[tex]\Longrightarrow: \boxed{\sf{y=\dfrac{1}{9}x-8 }}[/tex]
Therefore, the correct answer is y=1/9x-8.I hope this helps, let me know if you have any questions.
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What is the vertex of the function f(x) = one-halfx2 + 3x + three-halves?
(
,
)
Answer:
the vertex is (-3 , -3)
Step-by-step explanation:
[tex]\frac{1}{2} x^{2}+3x+\frac{3}{2}[/tex]
[tex]=\frac{1}{2} \left( x^{2}+6x+3\right)[/tex]
[tex]=\frac{1}{2} \left[ \left( x+3\right)^{2} -9+3\right][/tex]
[tex]=\frac{1}{2} \left( x+3\right)^{2} -3[/tex]
then the vertex is (-3 , -3)
Need this answered ASAP can’t find it anywhere online
Answer:
The value of the rational expression when x = -3 is undefined.
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra II
Rational Functions
Asymptotes, HolesStep-by-step explanation:
Step 1: Define
Identify given.
[tex]\displaystyle \frac{x}{x^2 - 9} ,\ x = -3[/tex]
Step 2: Find Value
[Rational Expression] Substitute in x:∴ since we can't divide by 0, our rational expression when x = -3 will have to be undefined.
___
Topic: Algebra II
Help finish this work I keep doing but the answer is still wrong
Find the theoretical probability of choosing perfect squares from the natural numbers from 2 to 100
inclusive.
25÷5=5 if five dot is throw in the air the probability of five seeing on the dot will be slim
Which statement correctly compares the shapes of the distributions?
The statement that compares the distribution shapes is (b) East Hills HS is positively skewed, and Southview HS is symmetric.
How to interpret the distribution shapes?From the question, we have the following highlights:
East Hills HS has more points at the right. This represents a positive skewSouthview HS has more points at the center. This represents a symmetric skewnessHence, the statement that compares the distribution shapes is (b) East Hills HS is positively skewed, and Southview HS is symmetric.
Read more about skewness at:
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Answer:
Step-by-step explanation:
East hills is negative skewed, Southview is symmetric
Explanation-just took the quiz
If the dimensions of a rectangle with a perimeter of 12 cm are doubled, what will be
the perimeter of the new rectangle?
Step-by-step explanation:
the perimeter is the sum of the 4 individual sides.
if the sides are doubled, so is the sum of them.
therefore, the new perimeter is then
12×2 = 24 cm
In an in-text citation, direct quotes go in_______.
A. between parenthesis
B. between double quotation marks
C. at the end of the paragraph
D. between commas
a fan does 65 rotations in 52 seconds how long does it take to do 200 rotations
Answer: 160 seconds
Step-by-step explanation:
First let us find the number of seconds per rotation
52 second/65 rotations
52/65
0.8 seconds/1 rotation
0.8 seconds per rotation
Now let us multiply 0.8 by 200 to get our answer
0.8 * 200
160
It takes 160 seconds to do 200 rotations
Answer:
160 seconds
Step-by-step explanation:
We have 65 rotations in 52 seconds, let's represent it like this:
[tex]\frac{52 seconds}{65 rotations}[/tex]
Now, let's multiply this by 200 rotations, and cancel out the rotations on the bottom:
[tex]\frac{52 seconds}{65 rotations} * 200 rotations[/tex]
See how there is rotations on both the top and bottom? This cancels both of them and leaves seconds!
Multiply the above equation and we get:
160 seconds or 2 minutes 40 seconds.
Hope this helps! Good luck and if you have questions please leave them in the comments!
If ABCD and MNPQ are squares, where M is the center of the first. Calculate x
Answer:
x=48º
Step-by-step explanation:
Which is the solution to this system of equations?
Answer:
E empty set
Step-by-step explanation:
The answer is empty at
8 = 3y - 12 - 8y What is the value of y?
Answer:
y = -4
Step-by-step explanation:
8 = 3y - 12 - 8y
Combine like terms
8 = -5y -12
Add 12 to each side
8+12 - 5y-12+12
20 = -5y
Divide each side by -5
20/-5 = -5y/-5
-4 =y
The average score for the statistics exam was a 75 with a standard deviation of 8. A student was told that they received a
score 1.45 standard deviations below the mean. What was their score?
A mean is an arithmetic average of a set of observations. The score of the student is equal to 63.4.
What is Mean?A mean is an arithmetic average of a set of observations. it is given by the formula,
Mean = (Sum of observations)/Number of observations
Given the mean score was 75, while the standard deviation was 8. Therefore, the score of the student is,
Scre of the student = μ - 1.45σ = 75 - 1.45(8) = 63.4
Hence, the score of the student is equal to 63.4.
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A triangle has a base length of 6ac² and a height 3 centimeters more than the base length. Find the
area of the triangle if a = 2 and c=3.
Hey there!
EQUATION:
6ac^2
ASSUMING:
= 6(2)(3)^2
SOLVING:
= 6(2)(3^2)
= 12(3^2)
= 12(3 * 3)
= 12(9)
= 108
Therefore, the answer should be: 108
Good luck on assignment & enjoy your day!
~Amphitrite1040:)
What does 2 3/4 x 2 add all together?
Step-by-step explanation:
its confusing the way the numbers are placed. But..
if the question is 2 whole number times 3 ÷4x2
=2×3/4×2
=6/8
=3/4
if it's 2 whole number, 3/4 fraction, multiplied by 2
2³/⁴ × 2
=4×2+3=11/4
=11/4 ×2
=11/2 or 5 1/2
A certain buffalo population increases by a factor of 1.2 each year. Of the following which best approximates the factor by which the population will increase over a ten year period?
The best approximation of the factor by which the population increases over a ten years period will be 6.19.
What is an exponent?The exponent denotes that the base will rise to a specific level of strength. The base is X, and the power is n.
A certain buffalo population increases by a factor of 1.2 each year.
Then the best approximation of the factor by which the population increases over a ten years period will be
→ 1.2¹⁰
→ 6.1917
→ 6.19
More about the exponent link is given below.
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Write the following ratio as a reduced fraction. Simplify your answer when possible: 12 to 33
Answer:
4/11
Step-by-step explanation:
a ratio is a fraction:
a:b or a to b
= a/b
so 12:33
= 12/33, which can be reduced to 4/11 when dividing the numerator and denominator by 3
Which division problem is represented with this model?
1/5÷3
1/5÷4
1/3÷2
1/4÷3
We can represent this drawing as follows: 1/5÷3
FractionFraction is a representation of a division between two real integers. A fraction, can be named as a ratio between two natural terms, integers, rational and/or reals. They consist of a numerator and a denominator.
Looking at the image, we can see that it is divided into 5 parts. In one of these parts, there is one that is divided into three ''group''.
- We know that the numerator indicates the amount that was divided and the denominator indicates the total amount. Therefore, the answer will be:
5 parts in total. = 1 ÷ 3
1 whole part - divided into three 5
So, the correct answer is 1/5 ÷ 3
3 Which of the following is an example of an expression?
O3y = 2y + 11
O
2x + 3y = 2x + 2y + 11
O
2x + 2y + 3y
O
2x + 2y + 3y = 2x + 2y + 11
Skip
5/6 complete
4
K
Answer:
2x + 2y + 3y
Step-by-step explanation:
The others are equations ( containing the = sign).
Answer:
2x+2y+3y
Step-by-step explanation:
an expression is not equated to any number but an equation is equated to any number especially zero
Pleaseeee show work
Answer:
The ladder is 9.54m (√91) tall
Step-by-step explanation:
(the blue triangle is all you would need to draw and the work in yellow)
Please help me do this question mathematics expert
Answer:
[tex]\textsf{i)} \quad \text{T} &=2 \pi r^2 + \dfrac{26}{r}[/tex]
ii) radius = 1.27 cm (3 sf)
height = 2.55 cm (3 sf)
Step-by-step explanation:
[tex]\text{Volume of a cylinder}=\pi r^2 h \quad \text{(where r is radius and h is height)}[/tex]
Given volume = 13 cm³, rewrite the equation making h the subject:
[tex]\implies 13=\pi r^2 h[/tex]
[tex]\implies h=\dfrac{13}{\pi r^2}[/tex]
Substitute found expression for h into the Surface Area equation to find the expression for the total surface area, T:
[tex]\begin{aligned}\text{Surface Area of a cylinder} & =2 \pi r^2 + 2 \pi r h\\\implies \text{Surface Area} & =2 \pi r^2 + 2 \pi r \left(\dfrac{13}{\pi r^2}\right)\\& =2 \pi r^2 + \dfrac{26 \pi r}{\pi r^2}\\ \implies \text{T} &=2 \pi r^2 + \dfrac{26}{r}\end{aligned}[/tex]
To find the radius of the minimum surface area, differentiate T with respect to r:
[tex]\begin{aligned}\text{T}& =2 \pi r^2 +26r^{-1}\\\implies \dfrac{dT}{dr} & =(2)2 \pi r^{(2-1)}+(-1)26r^{(-1-1)}\\ & =4 \pi r-26r^{-2}\\ & =4 \pi r-\dfrac{26}{r^2}\\ & = \dfrac{4 \pi r^3-26}{r^2} \end{aligned}[/tex]
Set it to zero, and solve for r:
[tex]\begin{aligned}\dfrac{dT}{dr} & = 0 \\\implies \dfrac{4 \pi r^3-26}{r^2} & = 0 \\\impliles 4 \pi r^3-26 & = 0 \\4 \pi r^3 & = 26 \\r^3 & = \dfrac{13}{2 \pi} \\r & = \sqrt[3]{\dfrac{13}{2 \pi}} \end{aligned}[/tex]
To find the height, substitute the found value of r into the equation for height (found previously):
[tex]\begin{aligned}h & =\dfrac{13}{\pi r^2} \\\implies h & =\dfrac{13}{\pi \left(\sqrt[3]{\dfrac{13}{2 \pi}}\right)^2} \\& =2.548499134\end{aligned}[/tex]
Therefore,
radius = 1.274249567... = 1.27 cm (3 sf)height = 2.548499134... = 2.55 cm (3 sf)Which expression is equivalent to
x^2-1
X^2-x
Answer:
(x - 1) x - X^2
Hope this helps :)
Multiply (2x + 2y)(2x + 2y)
Answer:
4x² + 4y² + 8xy
Step-by-step explanation:
( 2x + 2y ) ( 2x + 2y ) = ( 2x + 2y )²
Formula : -
( a + b )² = a² + b² + 2ab
Here,
a = 2x
b = 2y
( 2x + 2y )²
= ( 2x )² + ( 2y )² + 2 ( 2x ) ( 2y )
= 2²x² + 2²y² + 8xy
= 4x² + 4y² + 8xy
please help will mark Brainliest!!
Answer:
Because -4 is 4 units away from 0.
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Find the tangent of the angle indicated by each of the following right angle triangles.
Answer:
56.31 degrees
Step-by-step explanation:
6 = opposite and 4 = adjacent
Tan = opposite over adjacent
Tan(theta)=6/4
=56.30993247
y= 3x-2 find y when x=-5
[tex]y = 3x-2\\\\~~~=3(-5) -2\\\\~~~= -15-2\\\\~~~= -17[/tex]
Answer:
y = -17
Step-by-step explanation:
Given values :
⇒ x = -5
Let's substitute in the expression to find y :
⇒ y = 3(-5) - 2
⇒ y = -15 - 2
⇒ y = -17
15
Select the correct answer.
If f(x) = (x+1)-¹ and g(x)
= x^-2, what is the domain of f(x) = g(x)?
Answer:
Step-by-step explanation:
[tex]f(x)=g(x) \implies \frac{1}{x+1}=\frac{1}{x^{2}}[/tex]
This means the denominators cannot equal to (because then the fractions would be undefined) so the domain is [tex]x \in \mathbb{R} -\{-1,0\}[/tex]
