Answer:
310
Step-by-step explanation:
65 x 5
CosA-[1+sin2A]1/2
_______________=TanA
SinA-[1+sin2A]1/2
Answer:
[tex]\frac{cosA-(1+sin2A)^{\frac{1}{2} } }{sinA-(1+sin2A)^{\frac{1}{2} } } =tanA[/tex]
Step-by-step explanation:
Step(I):-
Given
[tex]\frac{cosA-(1+sin2A)^{\frac{1}{2} } }{sinA-(1+sin2A)^{\frac{1}{2} } }[/tex]
By using sin²x+cos²x =1
now
= [tex]\frac{cosA-(1+sin2A)^{\frac{1}{2} } }{sinA-(1+sin2A)^{\frac{1}{2} } }[/tex]
= [tex]\frac{cosA-(sin^{2} +cos^{2}x +2sinAcosA)^{\frac{1}{2} } }{sinA-(sin^{2}x+cos^{2} x +s2sinAcosA){\frac{1}{2} } }[/tex]
= [tex]\frac{cosA-(sinx +cosx)^{2} )^{\frac{1}{2} } }{sinA-(sinx+cos x)^2){\frac{1}{2} } }[/tex]
After simplification , we get
= [tex]\frac{cosA-(sinA+cosA)}{sinA-(sinA+cosA)}[/tex]
= [tex]\frac{-sinA}{-cosA}[/tex]
= tanA
Can someone help me please
Answer:
31.42 m
Step-by-step explanation:
circumference = (pi)d
circumference = 3.14159 * 10 m
circumference = 31.4159 m
Answer: 31.42 m
Answer: circumference =31.42m
Step-by-step explanation:
1929 concert tickets were sold for a total of $31,062. If students paid $13 and nonstudents paid $20, how many student tickets were sold?
Answer:
answer is attached in the figure below hope it helps please mark it as brainlist
Need help! Which matrix equation represents the system of equations?
[2x+ y =5
[5x+3y -12
Step-by-step explanation:
The given equations are :
2x+ y =5 ....(1)
5x+3y = 12
We need to find the matrix equation that represents the system of equations.
[tex][A]=\left[\begin{array}{cc}2&1&\\5&3\end{array}\right][/tex]
[tex][B]=\left[\begin{array}{cc}5\\12\end{array}\right][/tex]
And
[tex][X]=\left[\begin{array}{cc}x\\y\end{array}\right][/tex]
Hence, the matrix equation is :
[tex]\left[\begin{array}{cc}2&1&\\5&3\end{array}\right] \left[\begin{array}{cc}x\\y\end{array}\right]=\left[\begin{array}{cc}5\\12\end{array}\right][/tex]
Hence, the correct option is (b).
What is the distance between (–2 and one-half, –3) and (1, –3)?
–3 and one-half units
–1 and one-half units
1 and one-half units
3 and one-half units
Answer:
3 and 1/2 units
Answer:
3 and 1/2 units
Step-by-step explanation:
hope this helps you lol
E
help me pls
The sum of Sally and Beth's age is 60. Six years ago, Sally was 3 times as old as Beth. What are their present ages?
Ans
b-18 s-42
Step-by-step explanation:
Which relation is NOT a function a: y=5x b: y=x2 c: x=3 d: y= 6x
Answer:
C. x = 3
Step-by-step explanation:
because it is not a function, it's an answer. The other equations are all equal to y, which you can find the x and the y for a coordinate, but for c you have just x, and without y you can't have a function.
Answer:
x = 3
Step-by-step explanation:
Think about an archery practice. One target can get hit by multiple archers, but an archer can only shoot one arrow. Therefore its x = 3, because the same x value can not hit every y. Hope this helps, its for more visual learners.
Archers (x) Targets (y)
X O
X O
X O
X O
Graph the line y=-1/4x+6
Please help I will mark brainliest
Answer:
a)(2x+1)² - 3
4x² + 4x + 1 - 3
4x² + 4x - 2
4(-2)² + 4(-2) - 2
16 - 8 - 2
6 (final answer)
b) 4(3)² + 4(3) - 2
36 + 12 - 2
46 ( final answer)
c) 2(x²-3) + 1
2x² - 6 + 1
2(3)² - 5
18 - 5
13(final answer)
I need help, if is right I mark you as brainliest.
A. He made a division error.
B. He combined the variable terms incorrectly.
C. He combined the constants incorrectly.
D. He distributed -5 incorrectly.
Answer:
D. He distributed -5 incorrectly.
Step-by-step explanation:
Last option is the correct answer.
Answer:
Parker: D. He distributed -5 incorrectly.
Step-by-step explanation:
Please help me with the attachment below, will give brainlest
Answer:
D.
Step-by-step explanation:
Ya tengo el resultado, debe ser "y=4x-4"
Pero le doy 15 puntos al que llegue a ese resultado y explique cómo llegó a él
El método de Descartes para determinar tangentes se basa en la idea de que para muchas gráficas, la recta tangente en un punto dado es una recta "única" que intersecta la gráfica solamente en ese punto. Aplicaremos ese método para determinar la ecuación de una recta tangente a la parábola y=x^2 en el punto (2,4).
Primero, sabemos que la ecuación de la recta tangente debe tener la forma de y=mx+b. Usando el hecho de que el punto (2,4) está en la recta, podemos resolver para b en términos de m y obtener la ecuación y=mx+ (4-2m). Ahora queremos que (2,4) sea la "única" solución del sistema
{ y=x^2
y=mx+4-2m
De este sistema obtenemos x^2-mx+(2m-4)=0. Usando la fórmula cuadrática obtenemos
m+- √(m^2-4(2m-4))
x= --------------------------------
2
Para obtener una solución única para x, las dos raíces deben ser iguales, en otras palabras, el discriminante m^2-4(2m-4) debe ser 0. Completa el trabajo para obtener m y escribe una ecuación de la recta tangente
Answer:
Ver desarrollo en los parrafos que siguen
Step-by-step explanation:
El problema describe todos los pasos para llegar al sistema the equaciones:
y = x^2
y = m x + 4 - 2 m
Luego igualamos las cantidades 'y" y llegamos a la siguiente ecuacion cuadratica en "x":
x^2 = m x + 4 - 2m
luego restamos "m x" y "4" de ambos lados, y sumamos "2 m" de ambos lados para terminar con una ecuacion cuadratica igualada a cero para poder aplicar la equacion cuadratica
x^2 - m x - 4 + 2 m = 0
similar a:
a x^2 + b x + c = 0
donde
a = 1; b = "-m"; y c = "2 m - 4"
Luego usando la ecuacion cuadratica:
nos da de resultado:
[tex]x=\frac{m+/-\sqrt{m^2-4(1)(2m-4)} }{2(1)}[/tex]
Y para que la solucion sea UNICA, es necesario que la cantidad dentro de la raiz sea "cero" de modo que de solamente la solucion
x = m/2
Ahora, requiriendo que el determinante the la ecuacion cuadratica sea cero es:
[tex]m^2-4(2m-4)=0\\m^2-8m+16=0\\(m-4)^2=0\\m-4=0\\m=4[/tex]
ya que reconocemos que el trinomio m^2-8m+16 es un binomio quadrado perfecto; (m-4)^2
Y pidiendo que that binomio quadrado sea cero, es lo mismo que requerir que el binomio (m-4) sea cero, lo que significa que m = 4.
De esta manera, obtuvimos la pendiente "m" de nuestra recta:
y = m x + b
y = 4 x + b
Y como conociamos el valor de "b" usando el hecho de que el punto (2, 4) esta en la recta:
4 = 4 (2) + b
4 = 8 + b
4 - 8 = b
b = -4
Por lo tanto, la ecuacion dela recta es:
y = 4 x - 4
A wire 4 1/2 feet long is being cut into smaller pieces of wire, each 11/4 feet long. What is the maximum number of the smaller pieces of wire that can be cut from the original piece of wire?
Answer:
1
Step-by-step explanation:
Take 4 1/2 and turn it into just halves by multiplying 4•2 and then adding it to one. 9/2 then multiply that by 2 because you need the denominator to be 4 getting 18/4. Then subtract 11/4 you end up getting 9/4. So technically you have 2 pieces but if you want them both to be 11/4 you only have one
Find the coordinates of the point P that divides the directed line segment from A to B in the given ratio.
A(-6, 9), B(2, 1); Ratio 5 to 3
Answer:
P(-11 , 14)
Step-by-step explanation:
Explanation:-
Given points A(-6, 9), B(2, 1); Ratio 5 : 3
The Point P divides the directed line segment from A to B in the given ratio Externally
5 : 3
A( -6,9) B(2,1)
we will use formula
= [tex](\frac{5(1)-3(9) }{5-3} ,\frac{5(2) -3(-6)}{5-3})[/tex]
= [tex](\frac{5-27}{2} , \frac{10+18}{2} ) = (-11 , 14)[/tex]
The point P( -11 ,14) divides the directed line segment from A to B in the given ratio Externally
True or False. Use the information below to answer questions 10, 11, and 12.
The local sporting goods store sells footballs at the following rate.
Number of Footballs n Total Price t
2 $17.00
4 $34.00
Use the chart above and the following information to answer the true and false questions that follow. The sporting goods store also sells baseballs at a 50% of the cost of the footballs. Determine which of the following statements are true. Select True or False for each statement.
10. The price of 6 baseballs is less than the price of 4 footballs. True or False
11. The difference in the price of 1 football when compared to the price of 1 baseball is less than $3
12. The price of 3 footballs is equal to the price of 6 baseballs. True or False
Answer:
True, False, True
Step-by-step explanation:
Calculate the unit price of a football and a baseball
2 footballs cost $17.00 , then
1 football costs $17 ÷ 2 = $8.50
A baseball is 50% of a football, thus
cost of base ball = 50% of $8.50 = 0.5 × $8.50 = $4.25
(10)
4 footballs cost $34.00 ( given in table )
6 baseballs cost 6 × $4.25 = $25.50 < $34
Thus 6 baseballs < 4 footballs is True
(11)
The difference in price = $8.50 - $4.25 = $4.25
Thus the difference in price is greater than $3, not less False
(12)
3 footballs cost 3 × $8.50 = $25.50
6 baseballs cost 6 × $4.25 = $25.50
Thus the costs are equal is True
Answer:
Answer:
see explanation
Step-by-step explanation:
1
(a)
If 2 chords of a circle intersect then the product of the measures of the parts of one chord is equal to the product of the measures of the parts of the other chord.
(b)
If 2 secants are drawn from an external point to a circle then the product of the measures of one secant's external part and the entire secant is equal to the product of the measures of the other secant's external part and that entire secant.
(c)
If a tangent and a secant are drawn from an external point to a circle , then the square of the measure of the tangent is equal to the product of the measures of the secant's external part and the entire secant.
2
A radian is defined as the angle subtended at the centre of a circle by an arc equal to the radius of the circle.
1 revolution = 360° = 2π radians
1 radian = \frac{360}{2\pi }
2π
360
≈ 57°
3
(a)
An inscribed circle of a triangle is a circle drawn inside a circle so the circle barely touches the sides of the triangle.
(b)
The incentre is at the point of intersection of the triangle's 3 angle bisectors.
(c)
A circumscribed circle of a triangle ( circles drawn around the triangle so that the circle passes through each of the triangles's vertices.
(d)
The circumcentre is at the intersection of the perpendicular bisectors of the triangle's sides.
'
Question in picture below will give brainly.
Answer:
The Best answer would be The Third Option Below
Step-by-step explanation:
–5(–2) =
please help :) :D
Answer:
10
Step-by-step explanation:
-5 * -2 = 10
cuz - * - = +
and 5 * 2 = 10
hence 10
Answer:
-7
Step-by-step explanation:
-5(-2)
-5-2
-7
..........
Find the probability of getting the color crewmate and the hat. Determine the probability for each question and write the code in the box below.
Answer:
Step-by-step explanation:
Probability of an event to occur (P) = [tex]\frac{\text{Favorable event}}{\text{Total outcomes}}[/tex]
1). Probability of getting the red crewmate,
[tex]P_1=\frac{3}{6}=\frac{1}{2}[/tex]
Probability of getting a chef hat,
[tex]P_2[/tex] = [tex]\frac{1}{8}[/tex]
Probability of getting the red crewmate and the chef hat = [tex]P_1\times P_2[/tex]
= [tex]\frac{1}{2}\times \frac{1}{8}[/tex]
= [tex]\frac{1}{16}[/tex]
2). Probability of getting blue crewmate,
[tex]P_1=\frac{2}{6}[/tex]
[tex]=\frac{1}{3}[/tex]
Probability of getting an egg hat,
[tex]P_2=\frac{2}{8}=\frac{1}{4}[/tex]
Probability to get the blue crewmate and an egg hat = [tex]P_1\times P_2[/tex]
= [tex]\frac{1}{3}\times \frac{1}{4}[/tex]
= [tex]\frac{1}{12}[/tex]
3). Probability of getting a green crewmate = [tex]\frac{1}{6}[/tex]
Probability of getting a banana hat = [tex]\frac{3}{8}[/tex]
Probability of getting a green crewmate and banana hat
= [tex]\frac{1}{6}\times \frac{3}{8}[/tex]
= [tex]\frac{1}{16}[/tex]
CAN SOMEONE HELP ME WITH THIS??? I WILL MARK BRAINLIEST!!!
Answer:
no
Step-by-step explanation:
it has no number behind it so it is just 12 which is a integer
Answer:
Amelia is correct.
According to Google, an integer is a whole number, not a fraction. Therefore, she is correct.
What additional information can be included in the figure showing kite ABCD with
diagonals AC and D?
A) _B= 20
B) is a perpendicular bisector of
C) 21+ m_C = 180°
OD C = 30
Given:
In ABCD, AB=BC, AD=CD.
To find:
The additional information that can be included in the figure showing kite ABCD with diagonals AC and BD.
Solution:
We know that, a quadrilateral is a kite if,
1. Two pairs of congruent sides which are adjacent to each other.
2. One diagonal is perpendicular bisector of other.
From the given information, we have two pairs of consecutive congruent sides AB=BC and AD=CD.
ABCD is a kite if it holds the second property, i.e., one diagonal is perpendicular bisector of other.
So, the required additional information is "segment BD is perpendicular bisector of segment AC".
Therefore, the correct option is B.
Answer:
B
Step-by-step explanation:
BD is a perpendicular bisector of AC
The largest prime number that is a factor of 35 is multiplied by the smallest prime number
Answer:
the largest factor of 35 is 35 and the smallest prime number is 2 so 35 times two is 70
Step-by-step explanation:
please help meeeeeeeeee
Answer:
39 degrees
Step-by-step explanation:
27 + |-12| = 39 to change from -12 to 27 you have to add the distance they are away from each other on a number line by adding the absolute value of -12 to 27 to find their distance
Duff says that 10 times as many as 5 tens is 5 thousands. Is duff correct
Answer: My guess is hes incorrect, its 500 because we know 5 tens is 50 and if we make it ten times 50 it is 500
Answer:
No he’s not correct
Step-by-step explanation:
So he says that 10 times 5 tens is 5 thousands. 5 tens is 50. So if you do 10 times 50 it’s only 500 not 5 thousand. At least this is what I think you mean
Bryson can travel 28 1/4 miles in 1/2 hour. What is his average speed in miles per hour?
Answer:
56 if rounding but 56.50 if not
Step-by-step explanation:
rate
Quincy rides his bicycle 1 mile in 4 minutes, and his sister Marissa runs 13,376 feet in 16 minutes. In miles per hour approximately how much faster is Quincy than Marissa? (Note: 1 mile = 5,280 feet)
Answer:
Quincy is 5.5 mi/h faster than Marissa
Step-by-step explanation:
Speed
It's required to compare the speed of Quincy and Marissa knowing that Quincy rides his bicycle 1 mile in 4 minutes.
The speed can be calculated as the distance by the time, but it's required to express the speed in miles/hour.
4 minutes is 4/60 = 0.0667 hours, thus Quincy's speed is:
[tex]\displaystyle \frac{1\ mile}{0.0667\ h}=15\ mi/h[/tex]
Quincy rides at 15 miles/hour.
Marissa runs 13,376 feet in 16 minutes. Since 1 mile=5,280 feet:
13,376 / 5,280 = 2.533 miles
16 minutes = 16/60 = 0.2667 hours
Marissa's speed is:
[tex]\displaystyle \frac{2.533\ mile}{0.2667 \ h}=9.5\ mi/h[/tex]
The difference is 15 - 9.5 = 5.5 mi/h
Quincy is 5.5 mi/h faster than Marissa
The box-and-whisker plot shows the number of books read by history students
during the last school year.
+
2.
3
4.
5
6
7
8
g
9
10
11
12
13
14
15
16
What is the range of the data?
Answer:
43
Step-by-step explanation:
The range of the data is 14.
What is a boxplot?A boxplot is defined as a common method for visualizing data distribution based on a five-number summary. (minimum, first quartile (Q1), median, third quartile (Q3), and maximum).
Given that,
The box-and-whisker plot shows the number of books read by history students during the last school year.
The box extends from 4 to 15 on the number line.
There is a vertical line at 8, median = 8.
The whiskers end at 4 and 15,
So, minimum of data = 4 and maximum of data = 15.
∵ Range = maximum of data - minimum of data
Range = 15 - 4
Range = 11
Hence, the range of the data is 14.
Learn more about boxplot here :
https://brainly.com/question/24834228
#SPJ2
9 1/12 = k/9 Solve for K
Write the equation of the line fully simplified slope-intercept form
Answer:
y = 4/3x - 3
Step-by-step explanation:
y = mx + b
m is the slope and b is the y - intercept
The slope is rise/run, count how much it rises, or goes down, and how much it goes to the right. So there are points highlighted for us already, pick 2 points and count the units between them for rise it's 4, for run it's 3. So the slope is 4/3
b is the y-intercept, it's where the line goes through the y-axis, in this case it's -3
So plug the numbers in and it's y = 4/3x - 3
3(-4x + 8) =
PLEASE help! i don’t know these questions
Answer:
3(-4x+8)= now distribute it -12 x+24 so the answer will be that
Solve equation for
0<θ<2pi
5-1/4sinθ =5