Answer:
Benito llega en segundo lugar.
Eladio llega en sexto lugar
Hermes llega en noveno lugar.
Step-by-step explanation:
Tenemos 3 amigos:
Benito
Hermes
Eladio
Hay 3 posiciones:
segundo
sexto
noveno.
Sabemos que:
Benito llegó antes que Hermes.
Cuando Eladio estaba llegando a la meta, solo Benito estaba descansando.
Es decir, cuando Eladio llego a la meta, Hermes aún no había llegado.
Eladio llegó a la meta antes que Hermes, pero después que Benito.
Entonces el primero en llegar es Benito, el segundo es Eladio y el tercero será Hermes.
Con la data inicial podemos decir que:
Benito llega en segundo lugar.
Eladio llega en sexto lugar
Hermes llega en noveno lugar.
sin pi/3 __ __ pi/6 = 1/2(sin pi/2 + sin pi/6)
I think I’m just supposed to fill in the blank? (question off of a p e x) please give explanation!
Notice that
• π/2 = π/3 + π/6
• π/6 = π/3 - π/6
Recall the angle sum identities for sine:
sin(x + y) = sin(x) cos(y) + cos(x) sin(y)
sin(x - y) = sin(x) cos(y) - cos(x) sin(y)
By adding these together, we get
sin(x + y) + sin(x - y) = 2 sin(x) cos(y)
==> sin(x) cos(y) = 1/2 (sin(x + y) + sin(x - y))
Now take x = π/3 and y = π/6 :
sin(π/3) cos(π/6) = 1/2 (sin(π/2) + sin(π/6))
So the blank should be filled with cos.
PLEASE HELP ASAP 30 POINTS
Answer:
I don't know how to do please let me I will try solve the question
[ INDICES]- Simplify :
1. [tex] \large{ \tt{\frac{ {13}^{ \: 2x + 1} - 5 \times {169}^{x} }{9 \times {169}^{x} } }}[/tex] [ Ans : 2 ]
2. [tex] \large{ \tt{ \frac{ {9}^{ \: n + 2} + 10 \times {9}^{n} }{ {9}^{n + 1} \times 11 - 8 \times {9}^{n} }}}[/tex] [ Ans : 1 ]
- Please show your workings! :)
Step-by-step explanation:
Hey there!
Please see attached picture for your answer!
Hope it helps!
Answer is in the attachment.
note:
make a slight change in question 1;
for each relation, decide whether or not it is a function
Answer:
Relation 1,2,and 4 are functions, but relation 3 not is a function.
Step-by-step explanation:
function 1 input, no function with the same input like m in relation 3.
Can someone help me I’m kinda stuck
Answers:
y-intercept: (0, -45)
x-intercept: (-10, 0)
==================================
Explanation:
The y intercept is the location where the line or curve crosses the y axis.
That location is (0, -45) or we can say "the y intercept is -45" as shorthand. The x value is always 0 for the y intercept.
---------------
The x intercept flips everything around from earlier. Now y = 0 is always the case and we're looking where the graph crosses the x axis. That would be at (-10, 0)
Find the y-intercept of the following equation. Simplify your answer.
y=3x+9
4
Answer:
If the equation is "y=3x+9", then the y-intercept would be 9, and the slope would be 3.
Step-by-step explanation:
Answer:
The slope is 3/4 and the y intercept is 9
Step-by-step explanation:
The equation is in slope intercept form
y = mx+b where m is the slope and b is the y intercept
y = 3/4x +9
The slope is 3/4 and the y intercept is 9
express 61 as a the sum of four or less square numbers
Mọi người giúp em với
Answer:
bka bla bla bla sorry I newbie
The points of tangency are:
Answer: y and x
Step-by-step explanation:
help help............
Answer:
please send the pic again clearly
Answer:
I hope it will help you
Step-by-step explanation:
please make me brainlestthank u
the length of a photograph is 11.4 inches if the photo is enlarged so that its length is increased by 2.25 inches what the new length
We know
[tex] \\ \sf \longmapsto \: new \: length = length + increased \: length \\ \\ \sf \longmapsto \: new \: length = 11.4 + 2.25 \\ \\ \sf \longmapsto \: new \: length = 13.65in[/tex]
Plans for a new shopping center call for buildings directly across the sidewalk from each other to be congruent. This computer printout shows a clothing store.
If the vertices of a home improvement store are located at (−x1,y1), (−x2,y2), (−x3,y3), and (−x4,y4), will the home improvement store be congruent to the clothing store?
Answer:
Yes, both stores will be congruent
Step-by-step explanation:
The given coordinates of the vertices of the home improvement store are;
(-x₁, y₁), (-x₂, y₂), (-x₃, y₃) and (-x₄, y₄)
The coordinates of the vertices of the clothing store are;
(x₁, y₁), (x₂, y₂), (x₃, y₃) and (x₄, y₄)
Therefore, the coordinates of the vertices of the home improvement store, corresponds to the coordinates of the vertices of the image of the reflection of the clothing store across the sidewalk (which is the y-axis)
A reflection of (x, y) across the y-axis gives (-x, y)
Given that a reflection is a rigid transformation, the dimensions (lengths and angles between corresponding sides) of the home improvement store and the clothing store are equal, therefore, the home improvement store will be congruent to the clothing store.
Answer: yes, because the home improvement store is a reflection of the clothing store.
Step-by-step explanation:
Imagine math!!!
please help and look at photo 2.
Answer:
2 9/10 miles
Step-by-step explanation:
Ellis rides 29/5 miles a day, today she rode half of it, that is 29/10 miles which is equivalent to 2 9/10.
Ashish deposite rs 1000 every month is a recurring deposit account for period of 12 months. If the bank pays interest at a certain rate p.A. And ashish gets 12715 as the maturity value of this account at what rate of interest did he pay every month
Solution :
Given :
Principal amount, P = Rs. 1000
Time period = 12 months
The maturity value = Rs. 12,715
We know that,
[tex]$ SI = \frac{PTR}{100}$[/tex]
[tex]$SI = 1000 \times \frac{n(n+1)}{2 \times 12} \times \frac{R}{100}$[/tex]
[tex]$SI = 1000 \times \frac{12(12+1)}{2 \times 12} \times \frac{R}{100}$[/tex]
SI = 65 R
So we know,
maturity value = principal amount + SI
12715 = 1000 + 65 R
65 R = 12715 - 1000
65 R = 11715
R = 18%
So the rate is 18%
Answer:
[tex]R=11\%[/tex] p.a.
Step-by-step explanation:
Given:
the principal amount deposited each month, [tex]P=Rs. 1000[/tex]
amount after maturity of one year, [tex]A=Rs. 12715[/tex]
We have the formula as:
[tex]I=\frac{PR}{100}\times\frac{T(T+1)}{2\times 12}[/tex]
where:
R = rate of interest per annum
T = time in months
[tex]A-12P=\frac{PR}{100}\times\frac{T(T+1)}{2\times 12}[/tex] [since the principal is deposited each month]
[tex]715=\frac{1000\times R}{100}\times \frac{12\times 13}{24}[/tex]
[tex]R=11\%[/tex] p.a.
Which is the angle of elevation from C to B?
Answer:
Angle of elevation = ∠4
Step-by-step explanation:
Angle of elevation of a point point from another point is the angle formed between the line joining these points and the horizontal line.
Therefore, angle of elevation of point B from a point C = ∠4
Option with angle 4 will be the answer.
Explain why y +1 = 1.2(x + 2) and y- 5 = 1.2(x – 3) represent the same line, despite having
different equations.
Answer:
They have the same slope
Step-by-step explanation:
The standard equation of a line in point-slope form is expressed as;
y-y0 = m(x-x0)
We can see that both equations given are written in this form with a slope of 1.2. For two lines to be equal, they must have the same slope no matter the point on the lines. Hence the two equations are equal since they have different slopes.
Which number is rational?
√2
Pi
Square root of 10
Square root of 16
Answer:
[tex]\sqrt{16}[/tex] is rational number
Step-by-step explanation:
Rational number is of the form p/q, where q ≠ 0. It may be a terminating number or non terminating repeating number.
√2 is irrational number as it is non terminating non repeating number
π is irrational number as it is non terminating non repeating number
√10 is irrational number as it is non terminating non repeating number.
[tex]\sqrt{16}=\sqrt{4*4}=4[/tex]
[tex]\sqrt{16}[/tex] is a rational number
I having a hard time figuring this out.
Answer:
33
Step-by-step explanation:
Start by adding the 3 to the other side (2/3x=22)
Then, you divide 2/3 to cancel it out. To do that, multiply 22 by 3/2 which equals to 33.
Answer:
2/3x - 3 = 19
We first isolate the variable and solve for x, (we get rid of any constants first in the process)
2/3x - 3 = 19 the three is the constant so we get rid of it by adding three to both sides.
2/3x - 3 = 19
+3 +3
2/3x = 22
Now we divide by 2/3 on both sides
X = 33
(a+b)=? hihihihihihihihihihhihihi
Answer:
c
hihihihihihihihihihihihihi
how are you
Two linear equations are shown.
A coordinate grid with 2 lines. The first line is labeled y equals StartFraction one-third EndFraction x plus 2 and passes through (negative 6, 0) and (0, 2). The second line is labeled y equals StartFraction 4 over 3 EndFraction minus 5.
What is the solution to the system of equations?
(7, 4)
(7, StartFraction 13 over 3 EndFraction)
(8, StartFraction 14 over 3 EndFraction)
(9, 7)
Answer:
(7, 13/3)
Step-by-step explanation:
Given the expressions
y = 1/3x + 2 and the second line y = 4/3x - 5
Equating both expressions
1/3x + 2 = 4/3x - 5
1/3x - 4/3x = -5 - 2
-3/3x = -7
-x = -7
x = 7
Substitute x = 7 into any of the equations
Using y = 1/3 x + 2
y = 1/3(7) + 2
y = 7/3 + 2
y = (7+6)/3
y = 13/3
Hence the solution to the system of the equation is (7, 13/3)
Answer:
(7,13/3) is your answer, otherwise known as answer choice B.
Step-by-step explanation:
. Solve by factoring: x3 – 22 – 72x = 0
Describe the process you would use to explain to your parents (or other significant adults in your life) how you could calculate the sum of the interior angles of a 12-sided object without measuring them.
Use a word processor, to write up the process you have developed.
The sum of the interior angles of the 12-sided object without measuring the sides is 1800 degrees.
A polygon is a shape with 4 or more sides. Hence a 12-sided figure will be regarded as a polygon.
I will let them understand that the formula for calculating the sum of the interior angle of a regular polygon is expressed using the formula;
S = (n-2)*180 where:
n is the number of sides
Since we are considering a 12-sided object, then n = 12
The next thing is to tell them to substitute n = 12 into the formula given above as shown;
S = (12-2)*180
S = 10 * 180
S = 1800
This shows that the sum of the interior angles of the 12-sided object without measuring the sides is 1800 degrees.
Learn more here: https://brainly.com/question/19935932
Help me! What is the answer to this question!? Provide a step by step explanation please.
Answer:
x = -5 or x= 2
Step-by-step explanation:
|-4x-6| = 14
There are two solutions, one positive and one negative
-4x-6 = 14 -4x-6 = -14
Add 6 to each side
-4x-6+6 = 14+6 -4x-6+6 = -14+6
-4x = 20 -4x = -8
Divide by -4
-4x/-4 = 20/-4 -4x/-4 = -8/-4
x = -5 x = 2
Now we have to,
find the required value of x.
Given that,
→ |-4x -6| = 14
Let's find the both positive value and negative value,
===================
→ -4x -6 = 14
→ -4x = 14 + 6
→ -4x = 20
→ x = 20/-4
→ [x = -5]
===================
→ -4x -6 = -14
→ -4x = -14 + 6
→ -4x = -8
→ x = -8/-4
→ x = 8/4
→ [x = 2]
===================
Therefore, x is -5 (or) 2 is the answer.
The ordered pair (2, −4) is a solution of which system?
Answer:
option 1
Step-by-step explanation:
y ≤ x - 2
-4 ≤ 2-0
-4 ≤ 2 Satisfies the inequality
y ≥ - x - 4
-4 ≥ - 2- 4
-4 ≥ - 6 (2 , -4) satisfies the inequality
A container of cream cheese weighs 250 grams, which is equivalent to 8.8 ounces. Calculate the missing conversions
Answer:
the picture below has the answer
Step-by-step explanation:
The missing numbers are 312.5 and 35.2
a bag contains 3 red marbles, 5 yellow marbles, and 2 green marbles. what is the probability that you will select 2 green marbles in a row if you do not replace the first marble? A) 0.020 B) 0.02 C) 0.040 D) 0.200
Answer:
B
Step-by-step explanation:
find the probability of picking the first green marble, which would be 2/10
then afterwards once the marble is removed, it would be 1/9
Multiply both 2/10 and 1/9 to get 0.022, which rounds to 0.02
Answer:
0.02
Step-by-step explanation:
3+5+2 = 10
to choose 1 green the probability is 2/10 = 1/5
if we do not replace it, then there are now 9 marbles left and only 1 green left, so 1/9
to find them both in a row, multiply
1/5 * 1/9 = 1/45 = 0.02222
find the sum of (x²+3xy+y²)+(x³+3x²y+2xy²+y³)
write an equation of the line that passes through the point (-8,3) with slope 6
Answer:
y = 6x+51
Step-by-step explanation:
The slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
y = 6x+b
Substitute the point into the equation and solve for b
3 = 6(-8)+b
3 = -48+b
3+48 = b
51 = b
y = 6x+51
the hypotenuse of a right angled triangular field is 50ft and the legs are in the ratio 7:24, find the area of the right angled triangular field triangular field also find the cost of paving the field with brick at the rate of rs.20per square ft
Answer:
Step-by-step explanation:
If one leg is 7x than other leg is 24x
Using Pythagoras
50² = (7x)² + (24x)²
2500 = 49x² + 576x²
2500 = 625x²
x² = 2500/625 = 4
x = +2 or -2 ; x is positive
Means 7 x = 14 and 24x = 48
The two sides are 14cm and 48cm
Test: 14² + 48² = 196 + 2304 = 2500= 50²
which equation represents a line that is perpendicular to line FG
Answer:
C... slope is 1/2 inverse negative of 1/2 is -2
C is the only one with slope of -2
Step-by-step explanation:
Answer:
C. y=-2x-3
Step-by-step explanation:
