Answer:
-16/65
Step-by-step explanation:
Given sinα = 3/5 in quadrant 1;
Since sinα = opp/hyp
opp = 3
hyp = 5
adj^2 = hyp^2 - opp^2
adj^2 = 5^2 = 3^2
adj^2 = 25-9
adj^2 = 16
adj = 4
Since all the trig identity are positive in Quadrant 1, hence;
cosα = adj/hyp = 4/5
Similarly, if tanβ = 5/12 in Quadrant III,
According to trig identity
tan theta = opp/adj
opp = 5
adj = 12
hyp^2 = opp^2+adj^2
hyp^2 = 5^2+12^2
hyp^2 = 25+144
hyp^2 = 169
hyp = 13
Since only tan is positive in Quadrant III, then;
sinβ = -5/13
cosβ = -12/13
Get the required expression;
sin(α - β) = sinαcosβ - cosαsinβ
Substitute the given values
sin(α - β) = 3/5(-12/13) - 4/5(-5/13)
sin(α - β)= -36/65 + 20/65
sin(α - β) = -16/65
Hence the value of sin(α - β) is -16/65
Layla, Eliana and Nature each carried 10 pound bag of soil into the backyard. After putting soil in the first flower bed, Layla's bag was ⅝ full, Eliana's bag was ⅖ full, and Nature's bag was ¾ full. How many pounds of soil did they put in the first flower bed altogether?
Answer: 17.75 pounds
Step-by-step explanation:
After putting soil in the first flower bed, Layla's bag was ⅝ full. The pound of soil will be: = 5/8 × 10 = 6.25 pounds
Eliana's bag was ⅖ full. The pound of soil will be: = 2/5 × 10 = 4 pounds
Nature's bag was ¾ full. The pound of soil will be: = 3/4 × 10 = 30/4 = 7.5 pounds
The number of pounds of soil that they put in the first flower bed altogether will be:
= 6.25 + 4 + 7.5
= 17.75 pounds
Ms. Rivera runs a house cleaning business. To save money, she bought a 1-gallon container of concentrated cleaner. She mixed the cleaner with 10 gallons of water. Then, she filled as many 1-pint spray bottles as she could. How many spray bottles did she fill?
Answer:
88 bottles
Step-by-step explanation:
Given
[tex]Cleaner =1\ gallon[/tex]
[tex]Water =10\ gallon[/tex]
Required
Determine the number of 1-pint spray bottles used
First, we get the total gallons of the cleaner and water.
[tex]Total = Cleaner + Water[/tex]
[tex]Total = 1\ gallon + 10\ gallon[/tex]
[tex]Total = 11\ gallon[/tex]
Convert to pints:
[tex]Total = 11 * 8\ pints[/tex]
[tex]Total = 88\ pints[/tex]
To get the number of spray bottles, we divide 88 pints by the size of the pint bottle.
[tex]Number = \frac{88\ pints}{1\ pint}[/tex]
[tex]Number = \frac{88}{1}[/tex]
[tex]Number = 88[/tex]
please help! will give brainiliest!
Answer:
y=-1, y=1, y=3, y=5, y=7, y=9, y=11
Step-by-step explanation:
Given Equation: y=2x+5
Substitute x with the given x-values:
y=2(-3)+5=-6+5=-1
y=2(-2)+5=-4+5=1
y=2(-1)+5=-2+5=3
y=2(0)+5=0+5=5
y=2(1)+5=2+5=7
y=2(2)+5=4+5=9
y=2(3)+5=6+5=11
HELP HELP HELP HELP HELP!
Distribute the following expression, and type the equivalent expression into the text box.
3(12x-6)
Answer: thanks for brainly points kid
Step-by-step explanation:
Shed A and Shed B are both rectangular prisms. Shed A has a length 6½ feet, width 6½ feet, and height 8½ feet. Shed B has length and width twice as long as Shed A, but has the same height. What is the volume of Shed B?
Answer:
1436.5 ft^3
Step-by-step explanation:
Shed B
L = 2* 6.5 = 13
W = 2*6.5 = 13
H = 8.5
Formula
Volume = L*w*h
Solution
Volume = 13 * 13 * 8.5
Volume = 1436.5
Please Help Quick ASAP Hurry
Figure ABCD is a parallelogram.Which statement must be true?
a. AB is congruent to BC
b. AB is parallel to BC
c. AD is parallel to BC
d. \ is congruent to \C
Answer:
Step-by-step explanation:
Answer:
a. AB is congruent to BC Not True
b. AB is parallel to BC Not True
c. AD is parallel to BC True
d. \ is congruent to \C Not True
Step-by-step explanation:
For number 1 which is skew to BC?
A tree is 40 feet tall.
A basketball hoop is 10 feet tall.
What is the difference in height between the tree
and the basketball hoop?
What is the difference in height between the
basketball hoop and the tree?
What is the distance between the heights of the
tree and the basketball hoop?
What is the distance between the heights of the
tree and the basketball hoop?
Answer:
1. 30
Step-by-step explanation:
40-10=30
Answer:
b its b
Step-by-step explanation:
NEED HELP, ASAP! !!! 2 QUESTIONS.
1: Write an expression for the perimeter of this figure in simplest form.
a 3x^2+18
b3x+3
c3x+9
d3x+5
2nd question.
Find the area of the given triangle.
a 2x^2+5x+12
b x^2+5x+6
c 2x^2+10x+12
Answer:
1.we know the perimeter of the triangle=x-3+x+6+x=3x+3
so,answer is (b)3x+3
2.area of the triangle=1/2*b*h
=1/2*x+2*2x+6=x+2*2x+6/2=2x^2+6x+4x+12/2=2x^2+10x+12/2=2(x^2+5x+6)/2=x^2+5x+6
so,answer is(b)x^2+5x+6
The endpoints of a line segment are (–1, 6) and (8, 6). What is the length of the line segment?
A.
2 units
B.
7 units
C.
9 units
D.
12 units
Math please help im failing this class its algebra
Answer:
y=5x+2
Step-by-step explanation:
-5x-4y=-8
-5x+y=2
y=2+5x
y=5x+2
SOMEONE PLEASE HELP ME
9514 1404 393
Answer:
see attached
Step-by-step explanation:
a) Any set of functions that has a total degree of 4 and a total number of x-intercepts of 4 will do. Shown in the first attachment are 4 linear functions. A quadratic function with two x-intercepts could replace two of the linear functions, or a cubic with 3 x-intercepts could replace 3 of the linear functions.
__
b) Again, the total degree must be 3. Since there can only be one x-intercept, the quadratic factor must have none. A possible choice is shown in the second attachment.
Graph the equation
y = -3. Determine the
slope of the line
Answer:
The slope is 0
Step-by-step explanation:
The line is horizontal. All horizontal lines have a slope of 0.
The graph is attached.
what's
[tex] \sqrt{ {25}^{2} - 15 {}^{2} } [/tex]
Answer:
20 Ans ..
Step-by-step explanation:
Given:
=√25²-15²
Solution:
= √625-225
= 20 ans .....
8) help pls I have the answer I just need to show the work
Which trigonometric function would you use to find “h”, the height of the tree?
Answer: C
Answer:
C
Step-by-step explanation:
Sine: Opposite / Hypotenuse
Cosine: Adjacent / Hypotenuse
Tangent: Opposite / Adjacent
75 = The adjacent of 40
H = The opposite of 40
Tan40 = 75 / h
H = 75Tan40
H ≈ 62.93
The trigonometric function which will be used to determine the height of the tree when the base is 75 ft. is tan(40)
What is trigonometric function?The trigonometric function are the ratio of the sides of the right angled triangle. The functions are sine, cos, tan , cot, cosecant, secant.
How to find the height of the tree?We can easily see that the base is 75 ft. and the height of the tree is h So the height of the tree can be found with the help of tangent function.
tan(40)=h/75
0.84=h/75
h=63 ft.
Hence the height of the tree is 63 ft.
Learn more about the trigonometric functions at https://brainly.com/question/24349828
#SPJ2
pls send this answer pls pls pls
no fake answer pls pls
Answer:
6.75×10^5
Step-by-step explanation:
that's the answerrr
Answer:
6.75x10^5
Step-by-step explanation:
The population of Houston was 1,900,000 in 2000. It grew to 2,100,000 in 2010.
Find the percent of increase.
a. 10.5%
b. 20%
c. 21%
d. 40%
plz help will say branliest
Round 1 of a tennis tournament starts with 64 players. After each round, half of the players have lost and are eliminated from the tournament. Therefore, in round 2 there are 32 and in round 3 there are 16 players and so on. Can this relationship be modeled by a linear function? Provide evidence to support your claim.
Answer:
It can not be modeled by a linear function
Step-by-step explanation:
The given parameters can be represented as:
[tex](x_1,y_1) = (1,64)[/tex]
[tex](x_2,y_2) = (2,32)[/tex]
[tex](x_3,y_3) = (3,16)[/tex]
Where: x = rounds and y = players
Required:
Determine if it can be represented by a linear function
To do this, we simply calculate the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
and
[tex]m = \frac{y_3 - y_2}{x_3 - x_2}[/tex]
Using: [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex], we have:
[tex]m = \frac{32 - 64}{2 - 1}[/tex]
[tex]m = \frac{-32}{ 1}[/tex]
[tex]m = -32[/tex]
Using [tex]m = \frac{y_3 - y_2}{x_3 - x_2}[/tex], we have:
[tex]m = \frac{16 - 32}{3 - 2}[/tex]
[tex]m = \frac{-16}{1}[/tex]
[tex]m = -16[/tex]
Since both slopes are not the same, the relationship be modeled by a linear function
math!! <<<<<< please help
Answer:
a₆ = 972
Step-by-step explanation:
Is it correct?
a₄ = 3a₃ = 3 × 36 = 108
a₅ = 3a₄ = 3 × 108 = 324
a₆ = 3a₅ = 3 × 324 = 972
Answer:
Step-by-step explanation:
Remark
You could do this two ways: one with a formula and one without. I'll do it both ways.
With Formula
a_n = 4 * 3^(n - 1)
a_6 = 4 * 3^(5)
a_6 = 4 * 243
a_6 = 972
Without
a1 = 4
a2 = 4 * 3^(2 - 1)
a2 = 4 * 3
a2 = 12
a3 = 3* a_n-1
a3 = 3 * 12
a3 = 36
a4 = 3*a_3
a4 = 3*36
a4 = 108
a5 = 3 * a_(n - 4)
a5 = 3 * 108
a5 = 324
a6 = 3 * 324
a6 = 972 which is the same answer you got by using a formula
it would mean so much if u help me out on this one!
im failling all my clases and i do online school so everything is horrible
plzzz help
Answer:the answer should be B :) !
Step-by-step explanation:
The regualar price of a pair of sneackers
is $55 they are on sale for 25%
Answer:
$41 is your answer
Hope it Helps :)
Answer:
$41.25
Step-by-step explanation:
If the shoes regular price was $55 and the shoes are having a sale for 25%, this is how you would do the math.
25% is 25/100 or .25
55 * .25 = $13.75
55 - 13.75 = 41.25
PLZZ HELPPPP QUIICKK :))
Answer:
A...................
Find the surface area of this rectangular prism. Be sure to include the correct unit in your answer.
4 ft
3 ft
8 ft
6. John predicted that gas prices would raise 3.5% in the month of
January. If gas prices actually rose from $2.25 to $2.30, what was his
percent of error? Plzzz answer
Answer:
37.5%
Step-by-step explanation:
Given data
Initila Price= $2.25
3.5% of $2.25
=3.5/100* 2.25
=0.035*2.25
=0.07875
Hence the expected new price is
=0.07875+2.25
=$2.33
The expected increase
=2.33-2.25
=$0.08
The actual increase
=2.25-2.30
=$0.05
Hence the error is
% error= Actual -Expected/Expected*100
% error= 0.05-0.08/0.08*100
% error= 0.03/0.08*100
% error=0.375*100
% error=37.5%
Hence the error is 37.5%
PLS HELP what expression is equivalent to 2 + y + y + y + y + y +3?
Answer:
5y+5
Step-by-step explanation:
I hope this is right
Nicole is cooking cookies recipe calls for 5 cups of flour she has already put in three 1/3 cups how many more cups does she need to put in
Answer:
1 2/3 cups of flour
Step-by-step explanation:
Nicole is cooking cookies recipe calls for 5 cups of flour she has already put in three 1/3 cups how many more cups does she need to put in?
We solve the above question using Subtraction operation
The number of cups she still needs to put in =
5 cups - 3 1/3 cups
= 5 - 3 1/3
= 5/1 - 10/3
The Lowest Common Denominator = 3
= 15 - 10/3
= 5/3
= 1 2/3 cups of flour
Dylan hikes 90 miles in 3 days. At that rate, how many days does it take him to hike a total of 240 miles?
Answer:
8 days
Step-by-step explanation:
90/3 = 30 mi/day
240/30 = 8 days
Answer:
it will take him 8 days (7.98 in you don't round)
Step-by-step explanation:
90 -240= 150
150/90 = 1.6666....
1.66 * 3 = 4.98
4.98+3 =7.98 (8 if you round)
De las 30 preguntas del examen de matematicas, por cada respuesta correcta se obtenian 5 puntos y por cada respuesta incorrecta, o pregunta no contestada,se perdian 2 puntos teodolindo obtuvo 94 puntos en este examen ¿cuantas respuestas correctas tuvo?
Answer:
Teodolindo obtuvo 22 respuestas correctas y 8 respuestas incorrectas o no contestadas.
Step-by-step explanation:
Un sistema de ecuaciones lineales, también conocido como sistema lineal de ecuaciones o simplemente sistema lineal, es un conjunto de ecuaciones lineales (es decir, un sistema de ecuaciones en donde cada ecuación es de primer grado), en el cual se relacionan dos o más incógnitas.
En los sistemas de ecuaciones, se debe buscar los valores de las incógnitas, con los cuales al reemplazar, deben dar la solución planteada en ambas ecuaciones.
En este caso se debe establecer un sistema de ecuaciones, donde las variables son:
x: cantidad de respuestas correctasy: cantidad de respuestas incorrectas o no contestadasSiendo 30 preguntas en el examen, se tiene la ecuación:
x + y= 30
Por cada respuesta correcta se obtenían 5 puntos y por cada respuesta incorrecta o pregunta no contestada, se perdían 2 puntos. Teodolindo obtuvo 94 puntos en este examen. Entonces se representa esta situación mediante la expresión:
5*x - 2*y= 94
Entonces el sistema de ecuaciones a resolver es:
[tex]\left \{ {{x+y=30} \atop {5*x-2*y=94}} \right.[/tex]
El método de sustitución consiste en despejar o aislar una de las incógnitas (por ejemplo, x ) y sustituir su expresión en la otra ecuación. De este modo, obtienes una ecuación de primer grado con la otra incógnita, y . Una vez resuelta, calculas el valor de x sustituyendo el valor de y calculado.
Entonces, despejando el valor de x de la primer expresión obtienes:
x= 30 -y
Reemplazando en la segunda ecuación obtienes:
5*(30 -y) - 2*y= 94
Resolviendo:
5*30 - 5*y - 2*y= 94
150 - 5*y - 2*y= 94
- 5*y - 2*y= 94 -150
-7*y= -56
y= (-56)÷(-7)
y= 8
Reemplazando el valor de y obtenido en la expresión x= 30 -y se obtiene:
x= 30 - 8
x=22
Teodolindo obtuvo 22 respuestas correctas y 8 respuestas incorrectas o no contestadas.
if a parallelogram is 1.9ft at its base and 1.5 at its height what's its area?
Answer:
2.85 ft²
Step-by-step explanation:
1.9 x 1.5
Help me please , due soon
Answer:
Radius=12cm
Diameter=24cm
Step-by-step explanation:
The diameter is the full length of the circle through the middle (which is shown in the picture as 24cm).
The radius is half of the diameter.
Answer:
radius is 12 cm
diameter 24 cm