Answers
keeping in mind that a rhombus is also a parallelogram, namely a quadrilateral with parallel opposite sides, however, a rhombus sides are all the same length, and its diagonals meet at right-angles, Check the picture below.
The ratio of the required trigonometric function sin b₂° as per the given measurement of the quadrilateral is equal to 39/ 50.
Let us consider quadrilateral ABCD be rhombus.
Using the properties of the rhombus,
All the sides are congruent to each other.
Here, AB = 5 cm
This implies,
AB = BC = CD = AD = 5 cm
And Intersection of the diagonal is point 'O'.
In rhombus diagonals bisects each other at 90 degrees.
Measure of angle BOC = 90 degrees.
Triangle BOC is right angled triangle.
OC = 3.9 cm
sin b₂° = opposite side / hypotenuse
= OC / BC
= 3.9 / 5
= 0.78
= 78 / 100
= 39 / 50
Therefore, the ratio of the function sin b₂° is equal to 39 / 50.
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Related Questions
Convert the units to the nearest tenth.
Enter the correct answer in the box.
Show Hints
kilometers = 50 miles
Answers
Answer:
80.5
Step-by-step explanation:
What is this question asking and how do I solve it?
Answers
Answer:
the question is asking what it is the segment between HB,HG and CG
Step-by-step explanation:
Peter says, If you subtract 16 from my number and multiply the difference by −6, the result is −84. What is Peters number?
Answers
Answer:
30
Step-by-step explanation:
[tex] - 6(x - 16) = - 84[/tex]
[tex]x - 16 = 14[/tex]
[tex]x = 30[/tex]
Two prisms are similar if the ratio of the base if the two prisms is 49:196 what is the ratio of the volumes of the prisms
Answers
Answer:
1:8
Step-by-step explanation:
First, you must find the scale factor. Because you are given the area of the base, you must take the square root of 49 and 196. That leaves you with 7:14, and that simplifies to 1:2. To find the ratio of the volumes, you must cube both. That leaves you with a 1:8 ratio.
Complete the statement using <, >, or =.
55% of 60 __ 60% of 65
Answers
Answer:
Less than(<)
55% of 60 is 33
60% of 65 is 39
when solving problems with percentage, always multiply x, your decimal form of the percentage, by y, the often whole number part you are multiplying the percentage by.
[tex]0.55 * 60 = 33\\0.60 * 65 = 39[/tex]
note that if the percentage is for example 30%, it will be 0.3, while if it were 3%, it would be 0.03 to avoid confusion.
That said, the answer is less than.
Answer two questions about Equations A and B:
A. 5x2+x= x=4
B.
5x + x = x - 4-
1) How can we get Equation B from Equation A?
2) Are these equations equivalent?
Answers
Answer:
Equation B is the same as Equation A + 2
Step-by-step explanation:
To be able to get equation B from equation A, we have to compare equation A with equation B. Given that equation A. is 5x-2+x=x-4 and equation B is 5x+x=x-4.
Equation B: 5x+x=x-4.
Equation A: 5x-2+x=x-4.
Simplifying equation A to be in the form of equation B:
5x -2 + x = x - 4
Adding 2 to both sides:
5x + x -2 + 2 = x - 4 + 2
5x + x = x - 4 + (+2)
= equation A + 2
But 5x+x=x-4 = equation A
Therefore Equation B is the same as Equation A + 2
Can someone please give me the (Answers) to this? ... please ...
I need help….
Answers
Answer:
AB is chord
GF is tangent
DE is diameter
HJ is secant
C is center of the circle
DC is radius
K is point of tangency
AB is arc
Step-by-step explanation:
The width of a box is one third of its length. The
height of the box is one third of its width. If the
length of the box is 27 cm, what is the volume of
the box?
a. 81 cm3
b. 162 cm3
c. 243 cm3
d. 729 cm3
Answers
Answer:
d) 729cm^3
Step-by-step explanation:
Length =27cm
Width = 1/3 of length
= 1/3 of 27cm = 1/3 × 27cm = 9cm
Height = 1/3 of width
= 1/3 of 9cm = 1/3 × 9cm = 3cm
So, length = 27cm; width = 9cm; height = 3cm
So, volume = length × width × height
= 27cm × 9cm × 3cm = 729cm^3
Find the root of the equation 2x (x -8)=(x + 1)(2x – 3).
Answers
Answer: 1/5
Step-by-step explanation:
The root of the equation 2x(x - 8) = (x + 1)(2x - 3) is x = -1/4. To find the root of the equation 2x(x - 8) = (x + 1)(2x - 3), we need to solve for the value of "x" that makes both sides of the equation equal.
First, let's expand both sides of the equation:
2x(x - 8) = (x + 1)(2x - 3)
[tex]2x^2 - 16x = 2x^2 - x - 3x + 3[/tex]
Now, combine like terms on the right-hand side:
[tex]2x^2 - 16x = 2x^2 - 4x + 3[/tex]
Next, subtract [tex]2x^2[/tex] from both sides to get the x terms on one side:
-16x = -4x + 3
Now, bring all the x terms to one side by subtracting -4x from both sides:
-16x + 4x = 3
Simplify the left-hand side:
-12x = 3
Finally, solve for x by dividing both sides by -12:
x = 3 / -12
x = -1/4
So, the root of the equation 2x(x - 8) = (x + 1)(2x - 3) is x = -1/4.
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Find the equation of a line perpendicular to y = 4 + x that passes through the
point (-3, 3).
Answers
Answer:
y=-1/4x+9/4
Step-by-step explanation:
Get slope of the line first (to find slope that is perpendicular, get the negative reciprocal)
4 turns into -1/4
To get the y-intercept, plug in the given coordinate values into this formula:
y=mx+b
3=-3(-1/4)+b
3-3/4=b
b=9/4
b is our y-intercept
9/4 is our y-intercept
keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above
[tex]y = 4 + x\implies y = \stackrel{\stackrel{m}{\downarrow }}{1}x+4\qquad \impliedby \begin{array}{|c|ll}\cline{1-1}slope-intercept~form\\\cline{1-1}\\y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}}\\\\\cline{1-1}\end{array}[/tex]
so therefore
[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{1\implies\cfrac{1}{1}} ~\hfill \stackrel{reciprocal}{\cfrac{1}{1}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{1}{1}\implies -1}}[/tex]
so we're really looking for the equation of a line whose slope is -1 and passes through (-3 , 3)
[tex](\stackrel{x_1}{-3}~,~\stackrel{y_1}{3})\qquad \qquad \stackrel{slope}{m}\implies -1 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{3}=\stackrel{m}{-1}(x-\stackrel{x_1}{(-3)}) \\\\\\ y-3=-(x+3)\implies y-3 = -x-3\implies y = -x[/tex]
what is the number of pie in math
Answers
Answer:
A pie in maths have a degree of 360 degrees
what is the standard form of this graph
Answers
the standard form of that graph is ax squared +bx+c
An educational researcher claims that the average GPA of graduate students at FIU is less than 3.5 . To test his claim he collected data on 81 graduate students . The sample mean GPA was 3.25 with a standard deviation of 0.3 . What is the value of the test statistic to test this claim
Answers
The value of the test statistic to test the claim of comparison of average GPA is found to be -0.83 approximately.
How to find the z score (z statistic) for the sample mean?If we're given that:
Sample mean = [tex]\overline{x}[/tex]Sample size = n Population mean (hypothesized)= [tex]\mu[/tex]Sample standard deviation = sThen, we get:
[tex]z = \dfrac{\overline{x} - \mu}{s}[/tex]
If the sample standard deviation is not given, then we can estimate it by:
[tex]s = \dfrac{\sigma}{\sqrt{n}}[/tex]
where [tex]\sigma[/tex] = population standard deviation
For this case, since the sample size is 81 > 30, and we want to compare the mean (population mean) with some hypothesized mean (3.5 here), therefore, we can use one-sample z-test, which has the aforesaid test statistic.
We're provided that:
n = sample size = 81sample mean = [tex]\overline{x}[/tex] = 3.25sample standard deviation = s = 0.3hypothesized population mean with which comparison is done = [tex]\mu= 3.5[/tex]Thus, we get:
[tex]z = \dfrac{\overline{x} - \mu}{s} = \dfrac{3.25 - 3.5}{0.3} \approx -0.83[/tex]
Thus, the value of the test statistic to test the claim of comparison of average GPA is found to be -0.83 approximately.
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I need help with this question. Question is in image below.
Answers
Answer:
A. Answer is 2263.
Checkpoint 1 is -86 Checkpoint 4 is 2177
Subtract -86 from 2177....2177-(-86)
=2263
2263 is how much higher checkpoint 1 (-86) is from checkpoint 4 (2177)
B. 239 FEET.
the altitude of the hill must be subtracted by the depth of the ckeckpoint(2)(-189)
therefore the altitude of the hill comes out to be 428-189=239feet.
therefore,the actual altitude of the hill is 239 feet.
Solve the system of equations.
Answers
Answer:
1) {y,x}={-3,-23}
2) {x,y}={7,-9/2}
Step-by-step explanation:
Required:
Solve systems of equations1) y - x = 20, 2x - 15y = -1
Equations Simplified or Rearranged :
[1] y - x = 20
[2] -15y + 2x = -1
Graphic Representation of the Equations :
x + y = 20 2x - 15y = -1
Solve by Substitution :
// Solve equation [1] for the variable y
[1] y = x + 20
// Plug this in for variable y in equation [2]
[2] -15•(x +20) + 2x = -1
[2] - 13x = 299
// Solve equation [2] for the variable x
[2] 13x = - 299
[2] x = - 23
// By now we know this much :
y = x+20
x = -23
// Use the x value to solve for y
y = (-23)+20 = -3
Solution :
{y,x} = {-3,-23}
2) 25-x=-4y,3x-2y=30
Equations Simplified or Rearranged :
[1] -x + 4y = -25
[2] 3x - 2y = 30
Graphic Representation of the Equations :
4y - x = -25 -2y + 3x = 30
Solve by Substitution :
// Solve equation [1] for the variable x
[1] x = 4y + 25
// Plug this in for variable x in equation [2]
[2] 3•(4y+25) - 2y = 30
[2] 10y = -45
// Solve equation [2] for the variable y
[2] 10y = - 45
[2] y = - 9/2
// By now we know this much :
x = 4y+25
y = -9/2
// Use the y value to solve for x
x = 4(-9/2)+25 = 7
Solution :
{x,y} = {7,-9/2}
The Board of directories has 13 members. How many ways are there to elect a Chair and a Vice-Chair if the bylaw has a rotation rule: Chair and Vice-Chair cannot keep their positions for two years in a row
Answers
The number of ways to elect a Chair and a Vice Chair is 156.
Amount calculationGiven that the Board of directories has 13 members, to determine how many ways are there to elect a Chair and a Vice-Chair, the following calculation must be made:
13 x 12 = X156 = XAs the rule does not affect, because in the two years that have elapsed a different election will be held, the number of ways to elect a Chair and a Vice Chair is 156.
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Answer:The number of ways to elect a Chair and a Vice Chair is 156.
Step-by-step explanation:
An airplane flies with a constant speed of 620 miles per hour. How far can it travel in 2 hours 30 minutes?
Answers
Answer:
1550 miles
Step-by-step explanation:
rate * time = distance
620 m/hr * 2.5 hr = 1550 miles
(Note that 2 hr and 30 min is 2 and 1/2 hours = 2.5 hours)
Complete the table below to show that the relationship holds for all the triangles above.
SOMEONE PLEASE HELP ME WITH THIS ILL GIVE YOU BRAINLIST ANSWER
IMAGE ABOVE
Answers
Solve 7k+17=30
give your answer as a fraction in its simplest form
Answers
7k=13
k= 7/13
The equation of k is 13/7.
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.
Given:
7k+17=30
Now, solving for k
Subtract both side 17
7k + 17 - 17 = 30 - 17
7k = 13
k= 13/7
Hence, the equation of k is 13/7.
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Given x varies inversely as y and x = 4 when y=−9, find y when x = 6.
Answers
Given that X varies inversely as Y, the value of Y when the number of X is increased to the given value is -6.
What is Proportional relationships?Proportional relationships are relationships between two variables where their ratios are equivalent.
Inverse variation It is expressed as;
x ∝ 1/r then x = k/y
Where k is the proportionality constant.
Given the data in the question;
x = 4y = -9First we find the proportionality constant.
x = k/y
4 = k / -9
k = -36
Now, If x = 6 then y = ?
x = k/y
6 = -36 / y
6y = -36
y = -36 / 6
y = -6
Given that X varies inversely as Y, the value of Y when the number of X is increased to the given value is -6.
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Which polynomial identities are correct?
Select ALL that apply.
1. a2−b2=(a−b)(a+b)
2. (a+b)3=a3+3ab+b3
3. (a−b)3=a3−b3
Answers
Answer:
a2−b2=(a−b)(a+b) is correct.
Step-by-step explanation:
(a+b)3=a3+3a²b+3ab²+b3
(a−b)3=a3-3a²b+3ab²−b3
in a bowl, there are green candies for every 5 red candies. If the bowl has a total of 160 candies (red and green only), which proportion will solve for the number of green candies in the bowl?
Answers
Answer:
see below
Step-by-step explanation:
3 green for 5 red
then 3 out of (3+5) are green ... or 3/8 are green
3/8 * 160 = green = 60 green
Answer:
60 green candies
Step-by-step explanation:
We know the proportion :
Red : Green = 5 : 3Let's make a linear equation where candies is denoted by x.
5x + 3x = 1608x = 160x = 20Number of green
3x3(20)60 green candiesA race car is equipped with jets that can make it go from 0 to 64 mph (about 28 m/s) in 4 seconds. What is the acceleration of the car using its jets?
Answers
Answer:
So that it can run faster
Answer:
[tex]a = change \: in \: v \div time[/tex]
Step-by-step explanation:
Change in V =28-0
=28
time =4 sec
Therefore acceleration =28 ÷4
7m/s^-2
Please Help! This is really urgent!!!! Please!!
The diagram shows a sector of a circle of radius 3 units, formed from an angle of size 125 degrees. Find the length of the arc rounded to two decimal places.
Arc length = _____
Answers
Answer:
6.54498
Step-by-step explanation:
The formula that you use to solve this is (0/360)pi*radius2. You have to plug in the information that you are already given.
A trapezoid has an area of 36 square feet. If its height is 8, and one base is 4, what is the length of the other base?
Answers
Answer:
5
Step-by-step explanation:
A=a+b/2 x h
4 = a
5 = b
8 = h
4 + 5 / 2 = 4.5
4.5 x 8 = 36
So the other base length is 5
Enter the values for the highlighted variables that show how to subtract the rational expressions correctly:
StartFraction 2 Over x squared minus 36 EndFraction minus StartFraction 1 Over x squared + 6 x EndFraction = StartFraction 2 Over (x + 6) (x minus 6) EndFraction minus StartFraction 1 Over x (x + a) EndFraction. = StartFraction b x Over (x + 6) (x minus 6) x EndFraction minus StartFraction x minus c Over (x + 6) (x minus 6) x EndFraction. = StartFraction d x minus x + e Over (x + 6) (x minus 6) x EndFraction. = StartFraction x + f Over (x + 6) (x minus 6) x EndFraction. = StartFraction g Over x (x minus 6) EndFraction
a =
b =
c =
d =
e =
f =
g
Answers
Answer: I got you
The values are:
a = 6
b = 2
c = 6
d = 2
e = 6
f = 6
g = 1
Step-by-step explanation: Hope this helps
The values for the highlighted variables that show how to subtract the rational expressions are; a = 6, x^2 + 6x is equal to x(x+6), and b=2.
What is rational expressions?From the information, the denominator and numerator of the first term are multiplied by x.
The difference of squares is factored as (a² -b²) = (a +b)(a -b), so the denominator of the first term can be factored.
The common factor x can be factored out of the denominator of the second term which gives ...
[tex]\dfrac{2}{x^2-36}-\dfrac{1}{x^2+6x}= \dfrac{2}{(x+6)(x-6)}-\dfrac{1}{x(x+6)}\quad a=6[/tex]
Now Multiplying the first term by x/x and the second term by (x-6)/(x-6) gives ...
[tex]\dfrac{2x}{(x+6)(x-6)x}-\dfrac{x-6}{(x+6)(x-6)x}\quad b=2,\ c=6[/tex]
Writing the sum over the common denominator, we have;
[tex]\dfrac{2x-x+6}{(x+6)(x-6)x}\quad d=2,\ e=6[/tex]
Collecting terms in the numerator gives ...
[tex]\dfrac{x+6}{(x+6)(x-6)x}\quad f=6[/tex]
Finally, canceling the common factor we get;
1/(x-6)x
The values of the letters are; a=6, b=2, c=6, d=2, e=6, f=6, g=1
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Factor the following expression. x^3 + 2x^2 - 16x - 32
IMMAGE ATTACHED
Answers
Answer:
The answer is A.
Step-by-step explanation:
I used an online Calculator to calculate it for you.
(x + 4) * (x - 4) * (x + 2)
(x^2 - 4^2) * (x+2)
x^3 + 2x^2 - 16x^2 - 32
pls help me wirh this
Answers
Help x^2+10x=24 solve and simplify
Answers
Answer:
x= 2, x= -12
Step-by-step explanation:
cuz i said so
first move the 24 to the other side of the equation by subtracting it from both side's
now the equation looks like this
x^2+10x-24
then find values that add to equal 10 and that also multiply to equal -24
this works out to (x-2) (x+12)
which means that x is equal to 2 and -12
This is the hardest one yet! Please help!!
Answers
Answer:
Write your question.
Step-by-step explanation:
We're waiting...
Answer:
whats the question?
Step-by-step explanation: