[tex]3) \text{ } 2y+10x\\\\4) \text{ } \frac{1}{2}x-\frac{1}{2}y\\\\5) \text{ } 8a+16b-6a=2a+16b\\\\6) \text{ } -2.5(5+4n)=-12.5-10n[/tex]
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.
help please, how do I answer these types of questions?
give five equivalent fractions for 4/7
Answer:
8/14, 12/21, 16/28, 20/35, 40/70
Step-by-step explanation:
Decimal equivalent of 143%
Answer:
1.43 as a decimal
Step-by-step explanation:
%143 = 1.43
The slope of a line is 1, and the y-intercept is -1. What is the equation of the line written in slope-intercept form?
Answer:
Step-by-step explanation:
slope (m) = 1
y-intercept (c) = - 1
Writing in slope intercept form
y = mx + c
y = x - 1
hope it helps :)
if your monthly salary is $2,543, what is your annual salary
pls answer if you know the answer
Jordell made 45% of his shots he took during the basketball game. If he attempted 40 shots how many times did he score?
Answer:
18
Step-by-step explanation:
hope this answers your question
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!! :)
pls help 20 points asap
Answer:
The probability of rolling a 3 in a 6 number dice is 1/6. Thereafter, p of rolling a non 3 is 5/6.
Alternatively, A number cube (dice) has six sides labelled 1 through 6. Hence, a fair dice has a probability of 1/6 to land on any predetermined number 1 through 6. Therefore, to land on 3 the probability is 1/6
Explaination:
Rolling two six-sided dice: Each dice has 6 equally likely outcomes, so the sample space is 6×6 or 36 equally likely outcomes. Flipping three coins: Each coin has 2 equally likely outcomes, so the sample space is 2×2×2 or 8 equally likely outcomes.
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.
Find the value of X from the image attached
Answer:83
Step-by-step explanation: A triangle is 180 degrees in total so if you take 90+45=135 then you subtract 52 from 135 and you get 83
so x=83
OMG PLS— THIS IS DUE AT 8PM—
Answer:
so good
Step-by-step explanation:
so good
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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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
simplify 5(x + 7) anybody
Test Prep A triangular garden is made in a backyard. The sides measure 26m, 38m, and 50m. If a sign is posted in the smallest angle of the triangle, where should it go? A Opposite the side that is 26 m. B Opposite the side that is 38 m. C Opposite the side that is 50 m. D In the center of the triangle.
Answer:
A.
Step-by-step explanation:
The smallest angle is opposite the smallest side.
So the answer is opposite the side of length 26m.
Answer:
(A) The sign should go in the corner opposite the side that is 26m.
Step-by-step explanation:
In every triangle, the shortest side is opposite of the smallest angle and the longest side is opposite of the biggest angle.
For example, in a 30, 60, 90 triangle, the 30° angle is opposite a side length of 1 unit and the 90° angle is opposite a side length of 2 units. (60° is opposite radical 3)
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
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
Question 3 (1 point)
What is the mode of this data set 70, 72, 74, 76, 88, 119?
O None
O 114
076
70
HELP
Answer:
None of the above
Step-by-step explanation:
There is no number that appears twice or thrice
To find the quotient of 3 divided by 1/6 multiply 3 by what
Answer:
I am not fully sure but i think you multiply it by 6
Step-by-step explanation:
Because 3/ [tex]\frac{1}{6}[/tex] is 18 and if you multiply 3 times 6 you get 18
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
Mia used 1/7 of an ounce of nuts to make 1/5 of a cake. How many ounces of nuts are needed to make a whole cake?
Answer:
For this case we can apply the following proportional rule:
Step-by-step explanation:
1/7 nuts. x
------------ = ----------
1/5 cake. cake
and solving for x we got:
x = 1/7
------- = 5/7 nuts
1/5
then the answer for this case would be 5/7 nuts
your welcome
7) 4 TENS + 7 ONES +
9 TENTHS
How many?
Answer:
47 9/10 or 47.9
Step-by-step explanation:
what is laugh???????
Answer:
Nevetni
Step-by-step explanation:
It meaning hungary : nevetni
Answer:
Expression of people when they are happy
Step-by-step explanation:
Hope it help
Mark brainliest
Thanks
Let R be the region bounded by the following curves. Use the shell method to find the volume of the solid generated when R is revolved about the x- axis.
y = Sqrt x , y = 0, and x = 81
V = ? (Type an exact answer in terms of pi)
Answer:
[tex]V=47239.2\pi [/tex]
Step-by-step explanation:
We are given that
[tex]y=\sqrt{x}[/tex]
y=0
[tex]x=81[/tex]
When y=0 then x=0
Using shell method
Volume of solid
[tex]V=2\pi \int_{a}^{b}xf(x)dx[/tex]
Using the formula
Volume of solid
[tex]V=2\pi \int_{0}^{81} x(\sqrt{x})dx[/tex]
[tex]V=2\pi \int_{0}^{81}x^{\frac{3}{2}}dx[/tex]
[tex]V=2\pi [\frac{2}{5}x^{\frac{5}{2}}]^{81}_{0}[/tex]
[tex]V=2\pi\times \frac{2}{5}((81)^{\frac{5}{2}})[/tex]
[tex]V=47239.2\pi [/tex]
Timo was curious if quadrilaterals LMNR and PQNO were similar, so he tried to map one figure onto
the other using a rotation and a dilation.
M
N
LO
R
Q
Timo concluded:
"It's not possible to map LMNR onto PQNO using a sequence of rigid transformations and dilations,
so the quadrilaterals are not similar."
Answer:
c
Step-by-step explanation:
The two quadrilaterals LMNR and PQNO are not similar. Timo tried to map one figure onto the other using rotation and dilation methods. He concluded that they are not similar because the rigid transformations like rotation preserve congruence and dilation will not change the shape but it changes its size. So, this results in no congruence.
What is rigid transformation?Rotations, reflections, and translations are known as rigid transformations. They do not change the size or shape of a figure, they simply move it. These rigid transformations preserve congruence.What is dilation?Dilation is not a rigid transformation, since they change the size of a figure. Dilation would not change the shape but changes the sizeThis would give us a similar, but not congruent figure.Here Timo used rotation and dilation on the two quadrilaterals LMNR and PQNO. So, this resulted in a change in the size of the quadrilaterals. Because of this, Timo concluded that "it's not possible to map LMNR onto PQNO using a sequence of rigid transformations and dilations, so the quadrilaterals are not similar".
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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:
A line that includes the point (10, 0) has a slope of
5
What is its equation in slope-intercept
form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Submit
I need helppppppp !!!!!!! Due in 5 mins
9514 1404 393
Answer:
y = 1/5x -2
Step-by-step explanation:
When a point and slope are given, sometimes it is easiest to start with the point-slope form of the equation. Then it can be rearranged to the desired form.
y -k = m(x -h) . . . . . line with slope m through point (h, k)
y -0 = 1/5(x -10) . . . . . line with slope 1/5 through point (10, 0)
y = 1/5x -2 . . . . . . . eliminate parentheses to get slope-intercept form
_____
Note that the slope in the attached picture is 1/5, but your problem text says it is 5. Very different equations will result from these different slopes.
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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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)