Answer:
(√366 - 3)/24
Step-by-step explanation:
Given the following:
cos∝ = √3/8 and sinβ = √3/3
Sin(∝-β) = sin∝cosβ - cos∝sinβ
Get sin∝
Since cos∝ = √3/8
adj = √3
hyp = 8
opp = √8² - (√3)²
opp = √64 - 3
opp = √61
Recall that sin∝ = opp/hyp
sin∝ = √61/8
Get cosβ
Since sinβ = √3/3
opp = √3
hyp = 3
adj =√3² - (√3)²
adj = √9-3
adj = √6
Recall that cosβ = adj/hyp
cosβ = √6/3
Substitute the gotten values into the formula
Sin(∝-β) = sin∝cosβ - cos∝sinβ
Sin(∝-β) = ( √61/8)(√6/3)- (√3/8)(√3/3)
Sin(∝-β) = √366/24 - √9/24
Sin(∝-β) = (√366 - 3)/24
X+y=2 và x-y=4 tim x và y
Step-by-step explanation:
X
[tex]xx - xxyy - yy = 8[/tex]
Name the property: i) (-15) X (-56)
ii) (-72) X 26 = 26 X (-72)
iii) [8 X (-46)] X 32 = 8 X [(-46)] X 32]
iv) (-15) X 105 = [(-15) X (100 +5)] = [(-15) X100] + [(-15) X 5]
Answer:
Open in answr appOpen_in_app
(i)
15
7
=
30
x
⇒x=
15
7×30
=14
(ii)
3
x
=
18
12
⇒x=
18
12×3
=2
(iii)
x
30
=
24
45
⇒x=
45
30×24
=16
(iv)
16
8
=
x
25
⇒x=
8
25×16
=50
Step-by-step explanation:
yeah
solve for x.
solve for x.
solve for x.
Answer:
[tex]x=10[/tex]
Step-by-step explanation:
A secant is a line segment that intersects a circle in two places. One property of a secant is the product of the lengths ratio. This ratio can be described as the following, let ([tex]inside[/tex]) refer to the part of the secant that is inside the circle, and ([tex]outside[/tex]) refer to the part that is outside of it. ([tex]total[/tex]) will refer to the entirety of the secant or ([tex]inside+outside[/tex]). The numbers (1) and (2) will be used as subscripts to indicate that there are two different secants.
[tex](outside_1)(total_2)=(outside_2)(total_2)[/tex]
Substitute,
[tex](outside_1)(total_2)=(outside_2)(total_2)[/tex]
[tex](outside_1)(inside_1+outisde_1)=(outside_2)(inside_2+outside_2)[/tex]
[tex](6)(6+x+5)=(7)(7+x+1)[/tex]
Simplify,
[tex](6)(6+x+5)=(7)(7+x+1)[/tex]
[tex]6(x+11)=7(x+8)[/tex]
[tex]6x+66=7x+56[/tex]
Inverse operations,
[tex]6x+66=7x+56[/tex]
[tex]66=x+56[/tex]
[tex]10=x[/tex]
In figure above, if l1 | | l2 then value of x is:
a) 40°
b) 50°
c) 80°
d) 100°
Answer:
its letter c so 80
Step-by-step explanation:
I hope this help
Find the value of each variable. Lines that appear tangent are tangent, and the dot is the center. (Answer in the form a=? b=? c=? d=?)
Answer:
a = 60°/2 = 30°
b = 84/2 = 42°
c = (100+60)/2 = 80°
d = 360-100-60-84 = 116°
Answered by GAUTHMATH
The velocity of a bus increases from 72km/hr to 30m/s in 10 seconds. Calculate its acceleration
Answer:
I think this will help you
Solve for X. Geometry
Answer:
x=12
Step-by-step explanation:
LM + MN = LN
2x-16 + x-9 = 11
Combine like terms
3x-25=11
Add 25 to each side
3x-25+25 = 11+25
3x = 36
Divide by 3
3x/3=36/3
x = 12
Simplify. (x2+2x-4)+(2x-5x-3)
Answer:
Step by Step Solution
More Icon
STEP
1
:
3
Simplify ——
x2
Equation at the end of step
1
:
3
((((2•(x2))-5x)-——)+2x)-3
x2
STEP
2
:
Equation at the end of step
2
:
3
(((2x2 - 5x) - ——) + 2x) - 3
x2
STEP
3
:
Rewriting the whole as an Equivalent Fraction
3.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using x2 as the denominator :
2x2 - 5x (2x2 - 5x) • x2
2x2 - 5x = ———————— = ———————————————
1 x2
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
STEP
4
:
Pulling out like terms
4.1 Pull out like factors :
2x2 - 5x = x • (2x - 5)
Adding fractions that have a common denominator :
4.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
x • (2x-5) • x2 - (3) 2x4 - 5x3 - 3
————————————————————— = —————————————
x2 x2
Equation at the end of step
4
:
(2x4 - 5x3 - 3)
(——————————————— + 2x) - 3
x2
STEP
5
:
Rewriting the whole as an Equivalent Fraction :
5.1 Adding a whole to a fraction
Rewrite the whole as a fraction using x2 as the denominator :
2x 2x • x2
2x = —— = ———————
1 x2
Polynomial Roots Calculator :
5.2 Find roots (zeroes) of : F(x) = 2x4 - 5x3 - 3
Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0
Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers
I need help please I don't understand
Answer:
57.2
Step-by-step explanation:
This is a right triangle so we can use trig ratios.
We are asked to find a side when we know a angle adjacent to that side. And we are given a side opposite of that angle. We can use Tangent to find the side length.
[tex] \tan(40) = \frac{48}{x} [/tex]
Take the reciprocal of both sides.
[tex] \frac{1}{ \tan( 40) ) } = \frac{x}{ 48} [/tex]
Multiply both sides by 48.
[tex] x = \frac{1}{ \tan(40) } \times 48[/tex]
[tex]x = 57.2[/tex]
15men can complete a piece of work in25days. how many men should be added to complete the same work in15days.
Answer:
10 menStep-by-step explanation:
Amount of work done by 15 men is:
15 men *25 day = 15*25 man*daysSame work can be done by 25 men, in 15 days, so 10 more men should be added.
looking for the equation, slope, and y-intercept of: (1,-3) and (0,-1)
Answer:
Equation: y = -2x - 1
Slope: -2
Y intercept: -1
Step-by-step explanation:
First, find the slope using rise over run, (y2 - y1) / (x2 - x1):
(y2 - y1) / (x2 - x1)
(-1 + 3) / (0 - 1)
2 / -1
= -2
So, the slope is -2. Plug this and a point into slope intercept form, y = mx + b, and solve for b:
y = mx + b
-1 = -2(0) + b
-1 = 0 + b
-1 = b
So, the y intercept is -1. Create the equation by plugging in the slope and b into y = mx + b:
y = mx + b
y = -2x - 1
The equation of the line is y = -2x - 1.
Answer: y=-2x-1. Slope is -2 and y int. is -1.
Step-by-step explanation:
First, you need to find the slope by using the slope formula y2-y1/x2-x1. Plug in the x and y coordinates, which simplifies as -1-(-3)/0-1, and furthermore to 2/-1, or -2. The y intercept can be found by the second point, (0,-1). Therefore, the y int. is -1.
Geometry, please answer question ASAP
Answer:
C) 81 degrees
Step-by-step explanation:
all quadrilateral's sum of interiror angles is 360 degrees
right angles are 90 degrees
call measure of angle C =y
360=90+90+99+y
180=99+y
y= 81
8 to the power of 6 divided by 8 to the power of 2
PLZ HELP ASAP WILL MARK BRAINLIEST
Answer:
4096
Step-by-step explanation:
8^6÷8^2
First step is to solve the exponents
8 to the power of 6 is 262144
8 to the power of 2 is 64
Then divide 262144 by 64 : 4096
Answer:
it is a law of axponent that is a to the power m divided by a to the power n = a to the power m-n
so 8 to the power 6-2
= 8 to the power 4
that will be 4,096
Write a verbal expression for (c-2)d
Answer:
the sum of c minus 2 multiplied by d ------> (c-2)d
Can you help with number 9,10,12
In Exercises 51−56, the letters a, b, and c represent nonzero constants. Solve the equation for x
ax – 2 = 12.5
Answer:
x = 14.5/a
Step-by-step explanation:
ax – 2 = 12.5
Add 2 to each side
ax – 2+2 = 12.5+2
ax = 14.5
Divide by a
ax/a = 14.5/a
x = 14.5/a
A new car that is a gas- and electric-powered hybrid has recently hit the market. The distance traveled on 1 gallon of fuel is normally distributed with a mean of 65 miles and a standard deviation of 7 miles. Find the probability of the following events: a. The car travels more than 69 miles per gallon. Proba
Answer:
0.28386
Step-by-step explanation:
Given that :
Mean, μ = 65 miles
Standard deviation, σ = 7 miles
Probability that car travels more than 69 miles per gallon :
Recall,
Z = (x - μ) / σ ; x = 69
Z = (69 - 65) / 7 = 0.5714
The probability :
P(Z > z) = P(Z > 0.5714) = 1 - P(Z < 0.5714)
P(Z > 0.5714) = 1 - P(Z < 0.5714) = 1 - 0.71614 = 0.28386
P(Z > 0.5714) = 0.28386
Help with step by step solution please
Answer:
5/2
Step-by-step explanation:
The square root of 5 divided by the negative square root of 5 equals -1. 7/2 - 1 = 5/2.
the vertex of this parabola is at (-2 -3). When the y value is -2, the x value is -5. What is the coefficient of the squared term in the parabolas equation.
Answer:
1/9
Step-by-step explanation:
The vertex form is
y =a(x-h)^2 +k where (h,k) is the vertex
The vertex is (-2,-3)
y =a(x--2)^2 +-3
y =a(x+2)^2 -3
Substitute the point into the equation
-2 = a(-5+2)^2 -3
-2=a(-3)^2-3
Add 3 to each side
-2+3 = a(9)
1 = 9a
1/9 =a
y =1/9(x+2)^2 -3
The coefficient of the x^2 is 1/9
Answer:
[tex]\frac{1}{9}[/tex]
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k ) = (- 2, - 3) , then
y = a(x + 2)² - 3
To find a substitute (- 5, - 2 ) into the equation
- 2 = a(- 5 + 3)² - 3 ( add 3 to both sides )
1 = a(- 3)² = 9a ( divide both sides by 9 )
[tex]\frac{1}{9}[/tex] = a
y = [tex]\frac{1}{9}[/tex] (x + 2)² - 3
The coefficient of the x² term is therefore [tex]\frac{1}{9}[/tex]
The width of a rectangle measures (8x + 2) centimeters, and its length measures
(6x + 6) centimeters. Which expression represents the perimeter, in centimeters, of
the rectangle?
20x + 24
28x + 16
Submit Answer
O 8 + 14x
O 10x + 12
Answer:
(28x+16)cm
Step-by-step explanation:
2(8x+2)+2(6x+6)
16x+4+12x+12
28x+16
Perimeter = 2(Length + Breadth)
Perimeter = 2(6x + 6 + 8x + 2) cm
Perimeter = 2(14x + 8) cm
Perimeter = 28x + 16
CORRECT ANSWER IS OPTION B, 28x + 16The area under the standard normal curve to the right of z = -0.51 is 0.6950. What is the area to the left of z = 0.51?
Answer:
0.305
Step-by-step explanation:
We are told that area under the standard normal curve to the right of z = -0.51 is 0.6950
Thus, to get the area to the left, we just subtract 0.6950 from 1.
Thus;
area to the left of z = 0.51 is;
P( z < 0.51) = 1 - 0.6950 = 0.305
FIRST ANSWER GETS BRAINLIEST!!
(sorry for the colors on the picture)
It is the 3rd answer
evaluate : 8/-5+(4/-3)+1/3
Explain full steps
with easy method
Answer:
-39/15
Step-by-step explanation:
=-8/5-4/3+1/3
Taking LCM of 5,3 and 3.
=3(-8)-5(4)+5(1)/15
=-24-20+5/15
=-44+5/15
=-39/15
Note:if you need to ask any question please let me know.
An office was built in the shape of a rectangle. If one side of the office measures 60 metres and the length is measured 4000 centimetres.
Calculate the perimeter of the office in meters.
Answer:
200m
Step-by-step explanation:
Width=60m
Length=4000cm=40m
[PERIMETER OF RECTANGLE= 2(l+b)]
2(40+60)
2×100
200cm
after allowing 20% discount an article is sold for rs.672 levying 12% VAT, find its market price
The market price is Rs. 750 which was obtained by creating a mathematical relationship from the given parameters.
PERCENTAGE DISCOUNT = 20%
VAT LEVIED= 12%
PRICE SOLD = 672
Let the MARKET PRICE = m
Hence,
market price * (1 - discount) * (1 + VAT) = price sold
m * (1 - 20%) * (1 + 12%) = 672
m * (1 - 0.2) * (1 + 0.12) = 672
m * 0.8 * 1.12 = 672
0.896m = 672
m = 672 / 0.896
m = Rs. 750
Learn more :
https://brainly.com/question/20418815
The Market Price of the product is RS. 750.
The Market Price is calculated by dividing the components associated to Discount, which is less than 1, and the Value Added Tax, which more than 1, to the Resulting Price.
[tex]c_{M} = \frac{c_{R}}{\left(1-\frac{r_{D}}{100} \right)\cdot \left(1+\frac{r_{T}}{100} \right)}[/tex] (1)
Where:
[tex]c_{M}[/tex] - Market price, in monetary units.
[tex]c_{R}[/tex] - Resulting price, in monetary units.
[tex]r_{D}[/tex] - Discount rate, in percentage.
[tex]r_{T}[/tex] - Tax rate, in percentage.
If we know that [tex]c_{R} = 672[/tex], [tex]r_{D} = 20[/tex] and [tex]r_{T} = 12[/tex], then the market price is:
[tex]c_{M} = \frac{672}{\left(1-\frac{20}{100} \right)\cdot \left(1+\frac{12}{100} \right)}[/tex]
[tex]c_{M} = 750[/tex]
The market price of the product is RS. 750.
PLEASE HELP AND EXPLAIN!!
Answer:
D
Step-by-step explanation:
This isnt a cartisean coordinate plane so A is wrong. One of our points is at
[tex] - 3 + i[/tex]
Because it coincide with real number 3, and negative imaginary number i.
Conjugates are terms with opposite inverse of terms.
So our conjugates is
[tex] - 3 - i[/tex]
Hello, have anyone can help me to solve this question?
Answer:
24 days LCM
prime factor :
4- 2, 2
8-2,2,2
12- 2,2,3
largest factors- 2,2,2,3
2*2*2*3 = 24
Step-by-step explanation:
i need help with this
Answer:
A) (-8, -16)
B) (0, 48)
C) (-4, 0), (-12, 0)
Step-by-step explanation:
A) the vertex is the minimum y value.
extremes of a function we get by using the first derivation and solving it for y' = 0.
y = x² + 16x + 48
y' = 2x + 16 = 0
2x = -16
x = -8
so, the vertex is at x=-8.
the y value is (-8)² + 16(-8) + 48 = 64 - 128 + 48 = -16
B) is totally simple. it is f(0) or x=0. so, y is 48.
C) is the solution of the equation for y = 0.
the solution for such a quadratic equation is
x = (-b ± sqrt(b² - 4ac)) / (2a)
in our case here
a=1
b=16
c=48
x = (-16 ± sqrt(16² - 4×48)) / 2 = (-16 ± sqrt(256-192)) / 2 =
= (-16 ± sqrt(64)) / 2 = (-16 ± 8) / 2 = (-8 ± 4)
x1 = -8 + 4 = -4
x2 = -8 - 4 = -12
so the x- intercepts are (-4, 0), (-12, 0)
Maritza is comparing cell phones plans and notices that verizon offers a plan that is $60 for 10GB of data and $12 for each extra GB of data ore month. Create an expression to model this situation
Answer:
60 + 12 * g, with g representing the number of extra gigabytes
Step-by-step explanation:
First, we know that Maritza has to pay $60 for 10GB of data, no matter what. Therefore, the base cost of the cell phone plan is 60 dollars, and all extra costs must be added to that. Currently, our expression is therefore 60 + something = cost of cell phone plan.
After that, the plan costs $12 for each gigabyte of data past 10 GB. This means that, for example, if Maritza uses 11 gigabytes, the plan will cost 60 (the base amount) + 12 for each gigabyte past 10 GB. There are 11-10=1 extra gigabytes, so the cost is 60 + 12 * 1 = 72 dollars. For each extra gigabyte, 12 dollars are added, so we can represent this as
60 + 12 * g, with g representing the number of extra gigabytes
Given: PSTK is a rectangle
Area of PSTK=562m^2
m∠TOK=75
Find:PS, PK
(HELP! ILL GIVE BRAINLIEST)
Answer:
See picture below
Step-by-step explanation:
Let PK be the length and PS be the width of the rectangle.
Then LW =562
Assuming O is the center of the rectangle then ∠KST = ∠STO = 75/2
Hence tan ( 75/2 ) = PS/PK
Now solve the system of the equations
PS*PK=562
tan ( 75/2 ) = PS/ PK