Answer: X=7
Y=-2
Step-by-step explanation:
Please can i get brainliest
I dont understand this at all, I need the right anwser and Explanation please.
Answer:
a = 7; b = ⁷/2
Step-by-step explanation:
Recall the acronym, SOHCAHTOA
We would apply trigonometric ratio formula in finding a and b.
Reference angle [tex] (\theta) [/tex] = 60°
Opposite side to the reference angle = [tex] \frac{7\sqrt{3}}{2} [/tex]
Adjacent side = b
Hypotenuse = a
✔️To find a, we would apply SOH, which is:
[tex] sin (\theta) = \frac{opp}{hyp} [/tex]
Plug in the values
[tex] sin (60) = \frac{\frac{7\sqrt{3}{2}}{a} [/tex]
[tex] \frac{\sqrt{3}}{2} = \frac{\frac{7\sqrt{3}{2}}{a} [/tex] (sin 60 = √3/2)
[tex] \frac{\sqrt{3}}{2} = \frac{7\sqrt{3}{2}*\frac{1}{a} [/tex]
[tex] \frac{\sqrt{3}}{2} = \frac{7\sqrt{3}{2a} [/tex]
Cross multiply
[tex] \sqrt{3}*2a = 7\sqrt{3}*2 [/tex]
[tex] 2a\sqrt{3} = 14\sqrt{3} [/tex]
Side both sides by √3
[tex] 2a = 14 [/tex]
Divide both sides by 2
a = 14/2
a = 7
✔️To find b, apply TOA, which is:
[tex] tan (\theta) = \frac{opp}{adj} [/tex]
Plug in the values
[tex] tan (60) = \frac{\frac{7\sqrt{3}{2}}{b} [/tex]
[tex] \sqrt{3} = \frac{\frac{7\sqrt{3}{2}}{b} [/tex] (tan 60 = √3)
[tex] \sqrt{3} = \frac{7\sqrt{3}{2}*\frac{1}{a} [/tex]
[tex] \sqrt{3} = \frac{7\sqrt{3}{2b} [/tex]
Cross multiply
[tex] \sqrt{3}*2b = 7\sqrt{3} [/tex]
[tex] 2b\sqrt{3} = 7\sqrt{3} [/tex]
Divide both sides by √3
[tex] 2b = 7 [/tex]
Divide both sides by 2
b = 7/2
4. The price of a sweater is $5 less than the price of the shirt. If four sweaters and
three shirts cost $200, find the cost of each shirt and sweater.
Answer:
Form an equation:
let x be the price of a shirt
Then, the price of a sweater would be x - 5
So you would have:
4(x - 5) + 3x = 200
simplify
4x - 20 + 3x = 200
7x - 20 = 200
add 20 to both sides
7x = 220
divide both sides by 7
x = about 31.43
That means the cost of the sweater would be 31.43 - 5 = 26.43
Which integer represents the statement "Drink descended 50 feet"?
Group of answer choices
-50
50
|50|
50 + -50
Answer:
-50
Step-by-step explanation:
If the drink is descending by 50 feet, hypothetically I would say that the drinks at 0 ft. so it would be -50
Answer:
-50
Step-by-step explanation:
Drink descended 50 fifty feet, "descended" in this case means subtraction or negative
Which is true about the polynomial –8m3 + 11m?
It is a trinomial with a degree of 3.
It is a trinomial with a degree of 3.
It is a trinomial with a degree of 2.
It is a trinomial with a degree of 2.
It is a binomial with a degree of 3.
It is a binomial with a degree of 3.
It is a binomial with a degree of 2.
Answer:
Binomial with a degree of 3
Step-by-step explanation:
-8m^3 + 11m....notice that it has 2 terms....(-8m^3) and (11m). Having 2 terms makes it a binomial...if it would have had 3 terms, it would have been a trinomial. If it has only one variable, the degree is the highest exponent...so this has a degree of 3 since ^3 is the highest exponent.
so the answer is : binomial with a degree of 3
The correct answer is: "It is a binomial with a degree of 3."
What is a polynomial?Polynomial is an equation written with terms of the form kx^n.
where k and n are positive integers.
There are quadratic polynomials and cubic polynomials.
Example:
2x³ + 4x² + 4x + 9 is a cubic polynomial.
4x² + 7x + 8 is a quadratic polynomial.
We have,
The polynomial -8m³ + 11m is a binomial with a degree of 3.
A polynomial is an expression consisting of variables and coefficients, where the variables are raised to non-negative integer powers and the coefficients are constants.
The degree of a polynomial is the highest power of the variable in the polynomial.
In this case,
The polynomial has two terms, or it is a binomial.
The highest power of "m" in the polynomial is 3, which means that the degree of the polynomial is 3.
Therefore,
The correct answer is: "It is a binomial with a degree of 3."
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Help. I need to take sticky tack off my shoe. What do I do?
Answer:
Got any Brillo Pads? If not, I suggest scrubbing hard with an abrasive sponge and dish soap, preferably Dawn. WHAT DID YOU DOOO? lol
Step-by-step explanation:
Answer:
hot water and use a butter knife and dig it off
Step-by-step explanation:
get really hot water pour it on the bottom of ur shoe and use the knife to dig it off
hope this works it works for me
have a great day :)
also use dish soap
To solve the equation x + 5 = 3x - 4, Jasper graphs the equations f (x) = x + 5 and g(x) = 3x – 4. What is the solution to the equation
x + 5 = 3x – 4?
Answer:
4.5
Step-by-step explanation:
beginning- x+5=3x-4
combine like terms- 9=2x
divide- x= 4.5
The solution of equation is 4.5
What is 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. LHS = RHS is a common mathematical formula.
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.
We have Equation
x +5 = 3x -4
Now, solving the equation for x we get
x+ 5 = 3x -4
x -3x = -4 -5
-2x = -9
x= -9/ (-2)
x= 9/2
x= 4.5
Thus, the solution of equation is 4.5
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HELP PLSSSSSS!!! answer all pls
Answer:
See below.
Step-by-step explanation:
STEP 1: If you write the given terms all with denominators of 16, they are 28/16, 25/16, 22/16, 19/16, __, ____, ____, 7/16, 4/16.
STEP 2: The terms decrease by 3/16 for each step.
RULE: Term 1 = 7/4 and term (n + 1) = term 'n' - 3/16
The operation for increasing by the same amount every step is addition.
The operation for decreasing by the same amount every step is subtraction.
STEP 3: The rule is that the terms decrease by 3/16 at each step.
So the next 3 terms after 19/16 will be 16/16, 13/16, and 10/16.
Reformat them and you have 1, 13/16, 5/8.
So now the completed sequence is 1&3/4, 1&9/16, 1&3/8, 1&3/16, 1, 13/16, 5/8, 7/16, 1/4.
rep viuen
Write two numbers that multiply to the value on top and add to the value on bottom.
-32
4
Answer:
8 and -4
Step-by-step explanation:
8*-4=-32
8+(-4)=4
Please help need ASAP
Answers:
side AT = 36.122997 (approximate)side TR = 14.692547 (approximate)angle T = 66 degrees===============================================
Explanation:
We'll use the cosine ratio to find side AT
cos(angle) = adjacent/hypotenuse
cos(A) = AR/AT
cos(24) = 33/AT
AT*cos(24) = 33
AT = 33/cos(24)
AT = 36.1229971906996
AT = 36.122997 approximately
---------------------------------
We could use the sine or tangent ratio to find side TR, but let's use the pythagorean theorem instead.
a^2 + b^2 = c^2
(AR)^2 + (TR)^2 = (AT)^2
33^2 + (TR)^2 = (36.1229971906996)^2
1089 + (TR)^2 = 1304.8709260393
(TR)^2 = 1304.8709260393 - 1089
(TR)^2 = 215.8709260393
TR = sqrt(215.8709260393)
TR = 14.6925466151821
TR = 14.692547 also approximate
---------------------------------
We could use any of the trig ratios of sine, cosine, or tangent to solve for angle T.
However, it's easiest to take advantage of the fact that angles A and T are complementary.
So,
A+T = 90
T = 90-A
T = 90-24
T = 66 degrees
This value is exact.
Mary ordered dinner for 10 people.Three people ordered the 4.75 chicken dinner, two people ordered the 4.95 fish dinner and five had beef dinner at cost of 6.75 each. What was the average cost of each dinner at Mary's party
Answer: 5.79
Step-by-step explanation:
From the question,
3 people ordered the 4.75 chicken dinner. The cost will be:
= 4.75 × 3
= 14.25
2 people ordered the 4.95 fish dinner. The cost will be:
= 4.95 × 2
= 9.9
5 had beef dinner at cost of 6.75 each. This cost will be:
= 6.75 × 5
= 33.75
Total cost will be:
= 14.25 + 9.9 + 33.75
= 57.9
Therefore, the average cost of each dinner at Mary's party will be:
= Total cost / Number or people
= 57.9 / 10
= 5.79
Find the value of cos(2.78°) to the nearest hundredth.
Answer:
cos 2.78 = 1
Step-by-step explanation:
Multiply the following polynomials and write your final answer in standard form (x+3) (x^2-2x-1)
Answer:
The answer is 4x^2-8x-2
Step-by-step explanation:
Distribute 3 to all the numbers on the other parenthesis and the answer would be: 3x^2-6x-3
Now distribute x to that same parenthesis which would be like distributing one so it will be kept the same: x^2-2x-1
Now combine like terms:
3x^2-6x-3
x^2-2x-1
= 4x^2-8x-2
(hope this helps, sorry if I'm wrong)
As indicated below, write the equations of the line passing through the point (2, 2) and perpendicular to the line whose equation is y = x. Complete your work in the space provided. Part 1: Point-Slope form of the linear equation Part 2: Slope-intercept form of the linear equation Part 3: The general form of the linear equation
Answer:
Step-by-step explanation:
y = x
Slope of line = 1
Slope of perpendicular to line = -1
Point-slope equation for line of slope -1 through (2,2):
y-2 = -(x-2)
Slope-intercept equation:
y = -x + 4
Standard form:
x+y = 4
Which statement completes step 6 of the proof?
Coordinate plane with line f at y equals 3 times x plus 1 and line g at y equals negative one third times x plus 1. Triangle JKL is at J negative 1 comma negative 2, K 0 comma 1, and L 0 comma negative 2. Triangle J prime K L prime is at J prime negative 3 comma 2, K 0 comma 1, and L prime negative 3 comma 1.
Step 1 segment KL is parallel to the y-axis, and segment JL is parallel to the x-axis.
Step 2 ΔJKL was rotated 90° clockwise to create ΔJ'KL'. Point K did not change position, so it remains point K. Therefore, ΔJKL ≅ ΔJ'KL'.
Step 3 segment K L prime is perpendicular to the y-axis, and segment J prime L prime is perpendicular to the x-axis.
Step 4 segment JK lies on line f and has a slope of 3.
Step 5 segment J prime K lies on line g and has a slope of negative one third.
Step 6 ?
A. The product of the slopes of segment JK and segment J prime K is −1; therefore, lines f and g are perpendicular.
B. The slopes of segment JK and segment J prime K are congruent; therefore, lines f and g are parallel.
C. The product of the slopes of segment KL and segment K L prime is −1; therefore, lines f and g are perpendicular.
D. The slopes of segment KL and segment K L prime are congruent; therefore, lines f and g are parallel.
Answer:
a) the product of slopes of segment jk and segment j prime k is -1 therefore line f and g are perpendicular
Answer:
The product of the slopes of segment JK and segment J prime K is −1; therefore, lines f and g are perpendicular.
Step-by-step explanation:
Just took the test and its correct!! :)
Subtract 2x^2+ 6x - 5 from 7x^2+ 3x + 4.
Answer:
− 5[tex]x^{2}[/tex] + 13x −6
By subtracting "[tex]2x^2+ 6x - 5[/tex]" from "[tex]7x^2+ 3x + 4[/tex]" we get "[tex]5x^2-3x+9[/tex]". A further solution is below.
Given equations are:
→ [tex]2x^2+6x-5[/tex]...(equation 1)
→ [tex]7x^2+3x+4[/tex]...(equation 2)
By subtracting "equation 1" from "equation 2", we get
→ [tex](7x^2+ 3x + 4)-( 2x^2+ 6x - 5)[/tex]
→ [tex]7x^2+3x+4-2x^2-6x+5[/tex]
→ [tex]5x^2-3x+9[/tex]
Thus the above solution is the appropriate one.
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Yeah thanks m8 for this
Step-by-step explanation:
the process is shown in the picture.
What is the discriminant of this equation?
3x2 + 8x = 0
OMG PLS— THIS IS DUE AT 8PM—
Answer:
so good
Step-by-step explanation:
so good
3) Sarah has $350 in her bank account on Monday. On Tuesday, she deposits (puts
into the bank) $50. On Tuesday, she withdraws (takes out of the bank) $500. What
is her final balance (amount in the bank)?
Answer:
hello im sam and im going to help you answer your question.
Step-by-step explanation:
you to 350 and add 50 and you get 400
now you take 500 out and now u are in debt of -100$
g = cst (solve for s)
Step-by-step explanation:
Simplifying
g = cst
Solving
g = cst
Solving for variable 'g'.
Move all terms containing g to the left, all other terms to the right.
Simplifying
g = cst
how many solutions does the following system of equations have y=2x+2 & 2y=4x+4
Step-by-step explanation:
The answer is : Infinitely many solutions (because they lie in each other)
Which point would you get when (3,-4) is reflected over the y axis?
O (-3, 4)
O (3, 4)
O (-3,-4)
O (3.-4)
What is 2074 as a percent?
Answer:
207400%
Step-by-step explanation:
Look at the decimal number 2074 as 2074 out of one. Furthermore, percent means per hundred. So the task is to convert 2074 out of one to 2074 out of one hundred.
The equation to solve the problem is displayed below where x is the 2074 as a percentage.
2074
/1
=
x
/100
Please mark brainliest if correct and have a blessed day!
We solve the equation for x above by first multiplying each side by one and then multiplying each side by one hundred. Thus, the answer to 2074 as a percentage is:
207400%
Answer:
the answer is 207400% I do believe
2. A new car depreciates as soon as you drive it out of the parking lot. A certain car depreciates to half its original value in 4 years. If you bought a car 8 years ago and it is now worth $5,000, how much did you pay for the car originally? *
Answer:
Step-by-step explanation:
50 percent of blank is 30
Answer:
50%of balnk is 30
the blank is 15 because
50x30/100 gives you what you don't have
so 50x30/100=15
The blank would be 15
Step-by-step explanation:
Let f(x)=x2 and g(x)=x−6. Find (f◦g)(−1).
Answer:
(f◦g)(−1) = -14
Step-by-step explanation:
First solve for g(x). g(x) = -1 - 6 = -7. Then plug -7 into f(x). f(x) = (-7)(2) = -14
divided 2) Ellie made $253 for 22 hours of work. She makes $11 per hour so Identify the error:
Answer:
Ellie should have made 253$ in 23 hours in time. If she worked for 22 hours, then she made 242$.
Step-by-step explanation:
253$ / 11$= 23 hours
22 hours X 11$= 242 hours
PLEASE HURRY‼️‼️‼️
A Lime bike charges $2 for
a flat fee plus $0.50 a
minute. A different bike
charges $3.80 for a flat
fee plus $0.20 a minute.
After how many minutes
(x), will the price (y) be
the same for both bikes?
Answer:
5 minutes
Explanation:
.5x + 2 = y
.2x + 3.8 = y
.5x + 2 = .2x + 3.8
-.2x -.2x
.3x + 2 = 3.8
-2 -2
.3x = 1.8
.3 .3
x = 5
After 5 minutes, both bikes will be at the same price.
4х — Зу = - 16 х+ бу = 25
Answer:
you cannot answer
Step-by-step explanation:
There are two routes Lucas can take to walk to school. Route A is 2 and StartFraction 1 over 8 EndFraction miles and is StartFraction 3 over 8 EndFraction mile longer than route B. The equation b + StartFraction 3 over 8 EndFraction = 2 and StartFraction 1 over 8 EndFraction can be used to represent this situation, where b is the length of route B. How many miles will Lucas walk if he takes route B?
1 and one-half miles
1 and three-fourths miles
2 and one-fourthmiles
2 and one-half miles
Answer:
I know im late, but it would be B!
Answer:
If Lucas walks through route B, the length of route B is 1 and 3/4 miles. Then the correct option is B.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
There are two routes Lucas can take to walk to school.
Route A is 2 and 1/8 miles, and Route A is 3/8 mile longer than route B. The equation b + 3/8 = 2 + 1/8 can be used to represent this situation, where b is the length of route B.