Answer:
[tex]sin^2(\pi/4)+cos^2(\pi/4)=1[/tex]
Step-by-step explanation:
Notice that you don't need to evaluate the actual sin and cos functions, since you are in the presence of a well known Pythagorean identity that states that this type of addition of squares for the same angle should equal 1:
[tex]sin^2(x)+cos^2(x)=1[/tex]
So, as long as the angle "x" is the same in both trig functions, this addition should render "1" (one).
Because in this case the angle involved is the same (in both cases pi/4), the identity is valid.
What is 6 y minus 3 x = negative 18 written in slope-intercept form? y = negative one-half x + 3 y = one-half x minus 3 y = negative 2 x + 3 y = 2 x minus 3
Answer:
[tex]y=\frac{1}{2} x-3[/tex]
which looks like the second answer option you have listed
Step-by-step explanation:
In order to express a linear equation in slope-intercept form, one just needs to solve for "y" in the equation:
[tex]6y-3x=-18\\6y=3x-18\\y=\frac{3x-18}{6} \\y=\frac{1}{2} x-3[/tex]
Answer:
B
Step-by-step explanation:
on edge 2021
hope this helps!!
To eliminate the y-terms and solve for x in the fewest steps, by which constants should the equations be multiplied by before adding the equations together? First Equation: 5x − 4y = 28 Second equation: 3x - 9y = 30
Answer:
use -9 to multiply the first equation
use -4 to multiply the second equation.
Step-by-step explanation:
5x-4y=28.....eqn (1)×-9
3x-9y=30....eqn(2)×-4
-45x+36y=-252
-(-12x+36y=-120)
therefore, -33x÷33 =-132÷-33
x=4.
substitute (x=4) in any of the equation. I'm just going to use eqn 1.
5x-4y=28
5(4)-4y=28
20-4y=28
-4y =28-20
-4y÷-4 = 8÷-4
y=-2
so, x=4, y=-2
Note: for proof of answers substitute the answers for x and y and see if you have the same result...e.g
5(4)-4(-2)=28.
Answer:
The first equation should be multiplied by 9 and the second equation by −4.
Step-by-step explanation:
Classify the following triangle. Check all that apply.
A.Isosceles
B.Scalene
C.Acute
D.Equilateral
E.Right
F. Obtuse
Answer: A and E
Step-by-step explanation:
A. Correct
You know this is an isisceles triangle because of the markers on the sides. The markers mean the sides are equal. Also, the lengths are both 8.
B. Incorrect
A scalene triangle is a triangle where all 3 sides have different lengths. The picture shows an isosceles triangle.
C. Incorrect
Even is this may seem like an acute triangle because of the 45°, but this is actually not an acute triangle. An acute triangle requires for all its sides to be less than 90°. The right angle at the bottom right is 90°, not less than.
D. Incorrect
An equilateral triangle has 3 equal sides. The 3 sides in thsi triangle are not equal.
E. Correct
This is a right triangle. You can tell by the right angle label on the bottom right.
F. Incorrect
An obtuse triangle has an angle that is greater than 90°. No angle on this triangle is larger than 90°.
Please help! Is it 0.0364?
Trudy has a collection of 11 dice, 4 of which have twelve sides.
If Trudy randomly rolls 4 dice in a specific order, what is the probability that just the first 2 of the chosen dice have twelve sides?
Write your answer as a decimal rounded to four decimal places.
Answer:
0.0636
Step-by-step explanation:
The probability the first die has twelve sides is 4/11.
The probability the second die has twelve sides is 3/10.
The probability the third die does not have twelve sides is 7/9.
The probability the fourth die does not have twelve sides is 6/8.
The probability of all four events is:
4/11 × 3/10 × 7/9 × 6/8 = 0.0636
which two solid shapes can be joined together to form a new shape that has three faces, two edges and one vertex?
Answer:
Cone and cylinder are the two solid shapes which are when joined together form a new shape that has three faces, two edges and one vertex.
Please help me with this. You need to find what’s the blue cone! Its due soon please help
Answer:
the first one is 4+10+10=24
the second one is 10-4=6
the third one is =4
the pink cone=10
the blue cone=4
I hope this help
and i am sure that is the answer
please give me the brainlest
What is the value of x
Answer:
[tex]x=98[/tex]
Step-by-step explanation:
Angles in a triangle add up to 180°
[tex]180-45-53[/tex]
[tex]=82[/tex]
Angles in a straight line add up to 180°
[tex]180-82[/tex]
[tex]=98[/tex]
What is the equation of the translated function, g(x), if f(x) = x2?
Answer:
Its D
Step-by-step explanation:
Just took the test and got a 96%
Answer:
d
Step-by-step explanation:
fart
Find the value of x. 4x+15=28
Answer:
x = 3 1/4
Step-by-step explanation:
[tex]4x+15=28\\Collect-like-terms\\4x = 28-15\\4x = 13\\Divide -both-sides-of-the-equation-by:4\\\frac{4x}{4} =\frac{13}{4} \\x = 13/4\\x = 3\frac{1}{4}[/tex]
[tex]4x+15=28[/tex]
[tex]4x+15-15=28-15[/tex]
[tex]4x=13[/tex]
[tex]\displaystyle \frac{4x}{4} =\frac{13}{4}[/tex]
[tex]\displaystyle x=3.25[/tex]
On a coordinate plane, a curved line with minimum values of (negative 0.5, negative 7) and (2.5, negative 1), and a maximum value of (1.5, 1), crosses the x-axis at (negative 1, 0), (1, 0), and (3, 0), and crosses the y-axis at (0, negative 6). Which interval for the graphed function contains the local maximum?
Answer:
D Over the interval [4, 7], the local minimum is -7.
Step-by-step explanation:
Which of the following expressions can be used to find the area of the polygon? Select all that apply.
An irregular shape that is a rectangle with a piece missing from the upper right corner. The bottom length is twenty feet. The left side width is nine feet. The top length is eighteen feet with a rectangle cut out of the upper right corner. The right side width is six feet.
A. (9 × 20) – 6
B. (9 × 18) – (6 × 2)
C. (9 × 18) + (6 × 2)
D. (20 × 6) + (18 × 3)
E. (20 × 9) – (3 × 2)
Answer:
Option E
The shape is got using the expression: (20 X 9) - (3 X 2)
Step-by-step explanation:
to get the area of the shape, all we need to do is subtract the area of the smaller rectangular cut out from the area of the bigger rectangle.
The main trick here will be identifying the dimensions of both the larger rectangle and the smaller rectangle.
Dimensions of the larger rectangle:
Since we are told that the cut out is at the upper right corner, we can get the dimensions of the larger rectangle using the bottom length and the left width.
Thus we have Length = 20 feet, width = 9 feet
Dimensions of the smaller rectangular cutout.
We can get this by subtracting the dimensions of the top and right edges of the shape from their counterparts in the larger rectangle ( length an width)
length of cutout = ( 20-18) = 2 feet
width of cutout = (9-6) = 3 feet
Hence, the area of the shape is got using the expression:
(20 X 9) - (3 X 2)
WILL MARK BRAINLIEST Enter the correct answer in the box. Write your answer in the form y = mx + b, using the appropriate inequality symbol in place of the equal sign. What inequality is shown in the graph
Answer:
y<-2x-3
Step-by-step explanation:
y∠mx+b
find the slope m : x=0, y=-3 (0,-3)
x=-3, y=3 (-3,3)
m=y2-y1/x2-x1
m=3-(-3)/-3-0
m=6/-3 =-2
y=-2x+b b=-3 when x=0, y=b
y<-2x-3
Answer:
y<-2x-3
Step-by-step explanation:
The total cost in dollars to buy
uniforms for the soccer team players
can be found using the function
y = 28.95x + 4.25, where x is the number
of uniforms purchased. If there are a
minimum of 16 players and at most 20
players on the team, what is the domain
of the function for this situation?
A 0
B 0
C {16, 17, 18, 19, 20}
D {467.45, 496.40, 525.35, 554.30,
583.25}
The instructions state "there are a minimum of 16 players and at most 20 players on the team". This means that we have between 16 and 20 players, inclusive of both endpoints. Therefore, x can take on any whole number between 16 and 20. The domain is the set of allowed x inputs of a function.
Maya sells candles to her 5 neighbors. Each neighbor buys 2 boxes of candles. There are 6 candles in each box. What is the total number of candles that all of her neighbors will get?
Answer:
Each neighbor will get 12 candles so in total, 60 candles will be sold.
Step-by-step explanation:
Last week, Jeffrey kept track of the time he spent doing homework. On Monday, he spent 1 hour 15 minutes doing math homework and 37 minutes reading homework. On Wednesday, he spent 2 hours 18 minutes on a science report. How long did Jeffrey spend doing homework last week?
Answer:
4hours and 10 minutes
Step-by-step explanation:
Simply just add the three times together
Given the equation,D=m/v if D=6/7 and =m+3 then m=. A.18 B.-18 C.15
Answer:
m = 3.86
Step-by-step explanation:
D = 6 / 7
D = m + 3
6 / 7 = m + 3
6 / 7 + 3 = m
m = 3.86
Which of the following is best described as a three-dimensional solid consisting of a base that can be any polygon a point not in the same plane as the polygon and all points between them? A. Triangular prism B. cube C. Rectangular prism D. Pyramid
Answer:
Option D
Pyramid
Step-by-step explanation:
The clause that gave away the answer is "three-dimensional solid consisting of a base that can be any polygon"
Scanning through the options, we can see that the only option that fits the description is the pyramid.
The pyramid is the only three-dimensional shape amongst the options that can take any polygon as a base.
The other options get screened out here.
A cube must have a square base.
A triangular prism must have a triangular base
A rectangular prism must have a rectangular base
Thus, option D: The Pyramid is the correct answer.
Which phrase describes the algebraic expression 3x-4? a. the sum of three times a number and four b.four less than three times a number c.the quotient of three times a number less four d. the difference between four and three
Answer:
b.four less than three times a number
Step-by-step explanation:
because it's -4 , it will be four less than
and ×3 is three times the number
Answer:
b. four less than three times a number
Step-by-step explanation:
Got it right on the test
help me with this question please....
Answer:
The answer is 2940
Step-by-step explanation:
HAVE A GOOD DAY!
Please help! Correct answer only, please! I need to finish this assignment this week. Find the product AB, if possible. Explain if it is not possible. A. B. C. D.
Answer:
C
Step-by-step explanation:
The matrices are conformable for multiplication.
Multiply and sum the product of corresponding elements in row 1 of matrix A with elements in column of matrix B.
AB = [tex]\left[\begin{array}{ccc}5(2)+2(3)\\3(2)-1(3)\\\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}10+6\\6-3\\\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}16\\3\\\end{array}\right][/tex] → C
Which of the following is the solution set of the given equation?
(x - 3) - 2(x + 6) = -5
Answer: x=−10
Step-by-step explanation:
x−3−2(x+6)=−5
x+−3+(−2)(x)+(−2)(6)=−5(Distribute)
x+−3+−2x+−12=−5
(x+−2x)+(−3+−12)=−5(Combine Like Terms)
−x+−15=−5
−x−15=−5
−x−15+15=−5+15
−x=10
Haley used unit cubes to build a rectangular prism that is 5 units long, 3 units wide, and 4 units tall. Jeremiah used unit cubes to build a rectangular prism that has twice the volume of Haley's prism. Jeremiah's prism is 4 units long and 3 units wide. How tall is Jeremiah's prism?
Answer:
10 units
Step-by-step explanation:
Let us find the volume of Haley's prism and compare it with the volume of Jeremiah's.
The volume of Haley's prism is:
V = 5 * 3 * 4 = 60 cubic units
Jeremiah's prism has twice the volume of Haley's:
V(J) = 2 * 60 = 120 cubic units
This implies that:
120 = 4 * 3 * h
where h = height of prism
=> 120 = 12h
=> h = 120 / 12 = 10 units
Jeremiah's prism is 10 units tall.
Which of the following best explains why tan(5pi/6) doesn't equal tan(5pi/3)
1. The angles do not have the same reference angle.
2. Tangent is positive in the second quadrant and negative in the fourth quadrant
3. Tangent is negative in the second quadrant and positive in the fourth quadrant
4. The angles do not have the same reference angle or the same sign
Answer:
1. The angles do not have the same reference angle
Step-by-step explanation:
The angles are in the 2nd and 4th quadrants, so both have tangents with a negative sign. (This eliminates choices 2, 3, 4.)
The angles do not have the same reference angle.
_____
5π/6 has a reference angle of π/6.
5π/3 has a reference angle of π/3.
Answer:
The angles do not have the same reference angle.
Step-by-step explanation:
2π = 360°
π = 180°
5π/6 = [tex]\frac{5 * 180}{6}[/tex] = 150° (The reference angle here is 180° - 150° = 30°
5π/3 = [tex]\frac{5 * 180}{3}[/tex] = 300° (The reference angle here is 360° - 300° = 60°)
The reference angles are not the same and so the value of their tangents are not equal.
A bag contains 9 marbles: 3 are green, 2 are red, 4 are blue. Yolanda chooses a marble at random, and without putting it back, chooses another one at random. What is the probability that the first marble is blue and the second is green?
Answer: [tex]\bold{\dfrac{1}{6}=16.67\%}[/tex]
Step-by-step explanation:
First pick and Second pick
[tex]\dfrac{4\ blue}{9\ total\ marbles}\times\dfrac{3\ green}{8\ remaining\ marbles}\quad =\dfrac{12}{72}\quad =\large\boxed{\dfrac{1}{6}}[/tex]
Solve the following equation for x: 2x − 3y = 6
Answer:
[tex] x = 3 + \frac{3y}{2} \\ [/tex]
Step-by-step explanation:
[tex]2x - 3y = 6 \\ 2x = 6 + 3y \\ \frac{2x}{x} = \frac{6 + 3y}{2} \\ x = 3 + \frac{3y}{2} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day !
Describe how you would simplify the given (20x5y2/5x-3y7)
Steps:
1: Pulling out like terms/factors
2: Trying to factor as a Difference of Squares
Description:
Let's simplify step-by-step.
20x⁵y²/5 x -3 y⁷
=4x⁶y²−3y⁷
Answer: =4x⁶y²−3y⁷
Please mark brainliest
Hope this helps.
Answer:
Step-by-step explanation:
Simplify inside the parentheses by dividing coefficients, subtracting the exponents on like bases, and raising the resulting expression to the –3 power. Then, write bases with positive exponents.
Raise the numerator and denominator to the –3 power. Then, using the power of a power property, multiply the exponents. Divide the coefficients and subtract the exponents on like bases, then write with positive exponents
Brazilian footballer ronaldo scored 247 goals in 343 matches
the Hungarian footballer ferenc scored 512 goals in 528 matches. who is the better footballer?
Plz I need it..
Answer: Ferenc
Step-by-step explanation:
512 / 5.28 = 0.97 goals for every match
247 / 3.43 = 0.72 goals for every match
What is 44% of 250? Percent word problems.
Answer:
110 is 44% of 250
Step-by-step explanation:
x=0.44(250)
x=110
Answer : 110
44 percent *250 =
(44:100)*250 =
(44*250):100 =
11000:100 = 110
Now we have: 44 percent of 250 = 110
a²+2ab+b²-ac-bc=?
Please help me
Answer:
(a+b)(a+b-c)
Step-by-step explanation:
Formula:
(a+b)² = a² + b² + 2ab
Therefore,
a²+b²+2ab -ac-bc
= (a+b)² -ac-bc
Now take -c common in ac and bc
(a+b)² -c(a+b)
now take (a+b) common in both terms
(a+b)(a+b-c)
.
Hope it helps
The value of the equation is A = ( a + b ) ( a + b - c )
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
A = a² + 2ab + b² - ac - bc be equation (1)
On simplifying the equation , we get
( a + b )² = a² + 2ab + b²
So ,
A = ( a + b )² - ac - bc
Taking the common factor in the equation , we get
A = ( a + b )² - c ( a + b )
Taking the common factor in the equation , we get
A = ( a + b ) ( a + b - c )
Hence , the equation is A = ( a + b ) ( a + b - c )
To learn more about equations click :
https://brainly.com/question/19297665
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Noami visited the fabric store and purchased two yards of 45'' flat fold material at $2.29 yd. She then bought two more yards of 60'' 100$ cotton broadcloth at $5.89 yd. What was her
total bill, including a 5% sales tax?
Answer:
Total bill = $17.18
Step-by-step explanation:
Niomi purchased 2 yards of 45" flat fold material at $2.29/yd.
Cost of 2 yard of 45" flat fold material = 2.29 × 2
= $4.58
Shen then bought 2 more yards of 60" 100% cotton broadcloth at $5.89.
Cost of 2 more yards material = 5.89 × 2
=$11.78
Total cost of 4 yards cloth material with sales tax
= (4.58 + 11.78) + 5% of (4.58 + 11.78)
= $16.36 + (5% of $16.36)
= 16.36 + (0.05 × 16.36)
= 16.36 + 0.818
= $17.178
= $17.18