Answers
Answer: x = 32
Step-by-step explanation:
If m∠ORS = m∠SRQ = 3x - 6 and since the two angles are a linear pair they total 180°. This means half or only one section = 90°
solve for x
3x - 6 = 90
add 6 to both sides
3x = 96
divide each side by 3
x = 32
Related Questions
Name the set(s) of numbers to which -10 belong
Answers
-10 belongs to the set of negative integers and rational numbers and also belongs to the set of real numbers.
[tex]\boxed{\bf{Help\;Please}}[/tex]
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No spam
No absurd answers
[tex]\bf{Only}[/tex]
People who are good at Trigonometry
[tex]\bf{should\;answer}[/tex]
Answers
Answer:
There you go:[tex]y = 4 \cos(4\pi \: t + \frac{\pi}{4} ) [/tex]
[tex]y = a\cos(w\: t + \alpha ) [/tex]
[tex]w = 4\pi[/tex]
[tex]2\pi \: f = 4\pi[/tex]
[tex]f = 2[/tex]
Answer:
[tex]\displaystyle 2[/tex]
Step-by-step explanation:
[tex]\displaystyle y = Acos(Bx - C) + D[/tex]
When working with a trigonometric equation like this, always remember the information below:
[tex]\displaystyle Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A|[/tex]
So, the first procedure is to find the period of this graph, and when calculated, you should arrive at this:
[tex]\displaystyle \boxed{\frac{1}{2}} = \frac{2}{4\pi}\pi[/tex]
You will then plug this into the frequency formula, [tex]\displaystyle T^{-1} = F.[/tex] Look below:
[tex]\displaystyle \frac{1}{2}^{-1} = F \\ \\ \boxed{2 = F}[/tex]
Therefore, the frequency of motion is two hertz.
I am delighted to assist you at any time.
alguien me puede ayudar por favor se los agradeceria mucho
Answers
El cuadrado completo es:
[tex]\left[\begin{array}{ccc}0.048&0.056&0.016\\0.008&0.04&0.072\\0.064&0.024&0.032\end{array}\right][/tex]
¿Como completar el cuadrado magico?Tenemos el cuadrado:
[tex]\left[\begin{array}{ccc}0.048&a&0.016\\b&c&0.072\\0.064&e&f\end{array}\right][/tex]
Y queremos encontrar los valores de las letras, tal que cada suma de columna, fila y de cada diagonal de 0.12,
Entonces tenemos:
0.048 + b + 0.064 = 0.12
b = 0.12 - 0.048 - 0.064 = 0.008
0.016 + 0.072 + f = 0.12
f = 0.12 - 0.016 - 0.072 = 0.032
Tambien las diagonales deben dar 0.12, entonces:
0.064 + c + 0.016 = 0.12
c = 0.12 - 0.016 - 0.064 = 0.04
Reemplazando esos valores obtenemos:
[tex]\left[\begin{array}{ccc}0.048&a&0.016\\0.008&0.04&0.072\\0.064&e&0.032\end{array}\right][/tex]
Ahora las filas tambien deben dar 0.12:
0.048 + a + 0.016 = 0.12
a = 0.12 - 0.048 - 0.016 = 0.056
0.064 + e + 0.032 = 0.12
e = 0.12 - 0.064 - 0.032 = 0.024
El cuadrado completo es:
[tex]\left[\begin{array}{ccc}0.048&0.056&0.016\\0.008&0.04&0.072\\0.064&0.024&0.032\end{array}\right][/tex]
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6 in.
If you'd like,
you can use a
10 in.
SA 2πr² + 2πrh
Use 3.14 for T.
Find the surface area of
a cylinder with a height
of 10 inches and base
diameter of 6 inches.
Do NOT round your answer.
SA [?] square inches
=
Answers
The surface area of the cylinder is 244. 92 inches²
How to find surface area of a cylinder?surface area of a cylinder = 2πr(r + h)
where
r = radiush = heightTherefore,
r = 6 / 2 = 3 inches
h = 10 inches
surface area of a cylinder = 2 × 3.14 × 3(3 + 10)
surface area of a cylinder = 18.84(13)
surface area of a cylinder = 244.92
surface area of a cylinder = 244. 92 inches²
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Benoît has a home business selling antique watches. If he sells x watches, in thousands, his profit, P, in thousands of dollars, is given by
P=−50x^2 + 550x − 900
Determine Benoît’s break-even points
Determine his maximum profit and how many antique watches he must sell to achieve this profit.
Answers
The number of watches that just be sold is 90 and the profit is -356400.
How to calculate the profit?From the information given, the equation is given as:
P = −50x² + 550x − 900
P = -5x² + 55x - 90
= -5x² + 45x + 10x - 90
= -5x(x - 9) + 10(x - 9)
= (-5x + 10)(x - 9)
x - 9 = 0
x = 0 + 9 = 9
The watches that must be sold will be (9 × 10) = 90
The profit will be:
P = −50x² + 550x − 900
P = -50(90)² + 550(90) - 900
P = -405000 + 49500 - 900
P = -356400
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Find from the first principle the derivative of y=sinsquare (3x-5).
Answers
Answer:
the answer is x= 3/4 I think
Suppose that there are 9 faculty members in the math department and 11 in the computer science department. How many ways are there to select a committee to develop a discrete math course if the committee is to consist of three faculty from the math department and four from the computer science department
Answers
There are 9240 ways to select a committee to develop a discrete math course if the committee is to consist of three faculty from the math department and four from the computer science department.
It is given that there are 9 faculty members in the math department and 11 in the computer science department.
[tex]C^{9} _{3} * C^{11} _{4}[/tex]
[tex]= \frac{9!}{(9-3)!3!} * \frac{11!}{(11-4)!4!}\\= 28 * 330\\= 9240[/tex]
Therefore, there are 9240 ways to select the committee.
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there are 3 students in a class who are left-handed. given that the percentage of left handed students in the class is 7.5%, find the total number of students in this class
Answers
Answer:
40 total students
Explanation:
Total students: 100%
Let the number of total students be x.
Solving stepwise:
7.5% : 100% --> 3 : x
[tex]\rightarrow \sf \dfrac{7.5}{100} = \dfrac{3}{x}[/tex]
[tex]\rightarrow \sf 7.5x = 3(100)[/tex]
[tex]\rightarrow \sf 7.5x = 300[/tex]
[tex]\rightarrow \sf x =40[/tex]
Eva bought 3 rainbow trout for dinner. They weighed 3 Ib 5 oz, 2 Ib 12 oz, and 3 Ib 8 oz. She cut off the heads and the tails and was left with 8 Ib 2 oz. What was the amount of waste
Answers
The amount of waste is 22 oz
How to determine the waste amount?The weights of the 3 rainbow trouts are:
3 Ib 5 oz, 2 Ib 12 oz, and 3 Ib 8 oz.
The total weight is:
Total = 3 Ib 5 oz + 2 Ib 12 oz + 3 Ib 8 oz
Evaluate the sum
Total = 8 Ib 25 oz
The amount she was left with is 8 Ib 2 oz
Subtract this amount from the total
Waste = 8 Ib 25 oz - 8 Ib 2 oz
Evaluate
Waste = 22 oz
Hence, the amount of waste is 22 oz
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Which equation represents the transformed function below?
parent function; y=√x
= transformed function
Answers
If we know the concepts of transformations and horizontal translation and that f(x) = √x and k = - 2, then the transformed function is g(x) = √(x + 2).
How to determine the transformed function in terms of its parent function
The transformation of functions are operations which modify the relationship between input and outputs in a function. The parent function represents a canonical square root function and the transformed function is the consequence of applying a horizontal translation.
This kind of transformation is defined by the following expression:
g(x) = f(x - k) (1)
Where k represents a rightward translation for k > 0.
If we know that f(x) = √x and k = - 2, then the transformed function is g(x) = √(x + 2).
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]Triangle R Q S is cut by line segment T V. Line segment T V goes from side Q R to side R S. The length of R V is x + 10, the length of V S is x, the length of R T is x + 4, and the length of T Q is x minus 3.
Which value of x would make Line segment T V is parallel to Line segment Q S?
3
8
10
11
Answers
The value of 'x' that would make Line segment T V is parallel to Line segment Q S is 10. Option C
How to determine the valueIt is important to note that for line TV to be parallel to line QS, the sides of the triangle must be divided equally.
Thus, we have
RT/TQ = RV/VS
RT = x + 10
TQ = x - 3
RV = x + 10
VS = x
Substitute the value
[tex]\frac{x + 4}{x-3} = \frac{x + 10}{x}[/tex]
Cross multiply
(x+ 4) × x = (x + 10) × (x-3)
x² + 4x = x² -3x + 10x -30
Divide through by x²
4x = -3x + 10x - 30
Collect like terms
4x + 3x - 10x = - 30
-3x = -30
x = -30/ -3
x = 10
Thus, the value of 'x' that would make Line segment T V is parallel to Line segment Q S is 10 Option C
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Please help if you want, would really appreciate it
Answers
Answer: 140°
Step-by-step explanation:
- all straight lines are 180°
- since ACD and DCB help to create the straight line they must equal 180° when combined
- so 180 - 40 = 140
- therefore, ACD is 40° and DCB is 140°
hope this helps :)
Triangle QRS is to be dilated using the rule D Subscript P, three-fourths.
Point P is the center of dilation. Triangle Q R S is shown. The length of P S is 8.
What will be the distance from the center of dilation, P, to the image S'?
2 units
4 units
6 units
8 units
Answers
The distance from the center of dilation, P, to.the image vertice S' is; 6 units.
What is the distance from the center of dilation, P, to the image S'?It follows from the task content that the center of dilation of the triangle QRS is point P and the length of segment PS in the pre-image is; 8 units.
Ultimately, since the dilation factor is; three-fourths, it therefore follows that the distance of point P to S' in the image is; (3/4) × 8 = 6 units.
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Answer: OPTION C
Step-by-step explanation:
Solve this system of linear equations. Separate
the x- and y-values with a comma.
-7x + 6y = -5
2x + 4y = -10
Enter the correct answer.
Answers
Answer: x=-1 and y=-2
Kim scored 15 points, which was 30% of the team's t
How many points did the team score in all?
Answers
Answer:
50 points
Step-by-step explanation:
Let the total points scored by the team = x
30% of x = 15 points
[tex]\sf \dfrac{30}{100}*x = 15\\\\[/tex]
[tex]\sf x = 15* \dfrac{100}{30}\\\\ x = 50[/tex]
The team scored 50 points.
A local pizza shop has a membership for frequently buyers. The membership cost $5 per month and members get a diamond price of 1.75 per slice of pizza. Lamonte purchased a membership to this pizza shop. How much would lamonte have to pay the pizza shop if he brought 20 slices of pizza this month? What would be the monthly cost for x slices of pizza?
Answers
Answer:
40 Including membership Price
35 Just for Pizza
Step-by-step explanation:
$5 for Membership for the month (Not sure if the final answer includes this or not)
1.75 x 20 = $35 for Pizza
In circle S, m/TSU = 72º and the length of TU = 67. Find the length of ST.
Answers
Using the arc length formula, the length of ST in the circle is: 15 units.
What is the Arc length Formula?Arc length of a circle = ∅/360 × 2πr.
In the image given, we have:
∅ = m∠TSU = 72º
Arc length TU = 6π
r = ST
Plug in the values
6π = 72/360 × 2π(ST)
6π = 0.2 × 2π(ST)
6π/2π = 0.2 × ST
3 = 0.2(ST)
3/0.2 = ST
ST = 15 units.
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A tub contains red, green and blue counters. 20% of the counters are blue. The ratio of red to green counters is 2 : 3. If there are 24green counters, what is the probability of picking a red counter?
Answers
The probability of picking a red counter is therefore; 8/25.
What is the probability of picking a red counter?Since the ratio of red to green is 2 :3 and there are 24 green counters, it follows that the number of red counters is;
x = (2/3)× 24 = 16 red.
The total of red and green is; 16 +24 = 40 which constitutes 80% of the total counters.
The total number of counters is therefore; 40/0.8 = 50 counters.
The probability of picking a red counter is therefore; 16/50 = 8/25.
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Which expression is equivalent to the difference shown?
5x+1/5x - 4x+1/4x
Answers
Answer:
1 9/20x or 29/20x
Step-by-step explanation:
Reorder so it can be seen better
5x-4x+1/5x+1/4x
Combine like terms
x+1/5x+1/4x
Common multiple
x+4/20x+5/20x
Combine like terms
9/20x+x
Finalize
29/20x
Simplified
1 9/20x
Answer: -1/20x
Step-by-step explanation:
got all 5 correct this one was one of my five
Find the value of x and uh yeah
Answers
Answer:
2nd option
Step-by-step explanation:
the quadrilateral has 1 pair of parallel sides and is therefore a trapezoid.
• each lower base angle is supplementary to the upper base angle on the same side, that is
∠ 1 + ∠ 2 = 180° , so
x + x + 50 = 180
2x + 50 = 180 ( subtract 50 from both sides )
2x = 130 ( divide both sides by 2 )
x = 65
then
∠ 1 = x = 65°
∠ 2 = x + 50 = 65 + 50 = 115°
The label of a vial states that it contains 1g in 10ml.you know that 9.6 ml were added.what is the powder volume
Answers
Vial contains 0.96g powder.
Proportion is used to show how quantities and amounts are related to each other. The amount that quantities change in relation to each other is governed by proportion rules.
A direct and inverse proportion are used to show how the quantities and amount are related to each other. They are also mentioned as directly proportional or inversely proportional. The symbol used to denote the proportionality is ‘∝‘. For example, if we say, a is proportional to b, then it is represented as “a ∝ b” and if we say, a is inversely proportional to b, then it is denoted as ‘a∝1/b’
The given question is the example of direct variation.
Powder volume ∝ Liquid volume
∴ We can apply cross multiplication method
Let powder volume be x
1g→ 10ml
x→ 9.6ml
cross multiplying
1 x 9.6 = 10 x [tex]x[/tex]
x = 0.96 g
Thus Vial contains 0.96g powder.
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Massa says that 540 ÷ 6 = 9. Is he right? Explain how you know using an equation.
Answers
Both sides of the equation are not equal, therefore, Massa was wrong.
How to Evaluate an Equation?For an equation to be correct, the values on both sides of the equation must be equal and balance.
Given the expression, 540 ÷ 6 = 9, 540 divided by 6 is 90. 90 is not equal to 9.
Thus, the value on the both sides are not balanced, therefore, Massa is incorrect.
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is a quadrilateral graphed in the coordinate plane with vertices , , , and . What are the lengths of the sides of the quadrilateral, and what is the correct name for the figure?
Answers
The given quadrilateral is a rectangle because 2 pairs of sides are equal in length.
How to find the distance between two coordinates?We are given the coordinates of the quadrilateral as;
W(0, 5), X(-3, 2), Y(0, -4), Z(3, 2).
Now, the formula for distance between two coordinates is;
d = √[(x₂ - x₁)² + (y₂ - y₁)²]
Thus;
WX = √[(-3 - 0)² + (2 - 5)²]
WX = 3√2
XY = √[(0 + 3)² + (-4 - 2)²]
XY = 3√5
YZ = √[(2 + 4)² + (3 - 0)²]
YZ = 3√5
ZW = √[(0 - 3)² + (2 - 5)²]
ZW = 3√2
Thus, we can conclude that the given quadrilateral is a rectangle because 2 pairs of sides are equal in length.
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Solve to find x and y in the diagram.
The figure shows two parallel lines and a transversal. The intersection of the first line and the transversal forms four angles, the top right angle is labeled as a right angle, the bottom right angle measures 6 times x plus 5 times y degrees. The intersection of the second line and the transversal forms four angles, the bottom right angle measures 10 times y degrees.
Answers
The values of x and y by the descriptions in the task content are; 7.5 and 9 respectively.
What are the values of x and y?It follows from the task content that the description in the task content registers the bottom right angle measure of the second intersection as equal to 10y.
Hence, it follows that; 10y = 90 and; y = 9.
From the first intersection; 6x + 5y = 90;
6x + 5(9) = 90
6x + 45 = 90
6x = 45
x = 45/6 = 7.5
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what are the domain and range of the function represented by the set of ordered pairs {(-6,5),(-3,2),(-1,0),(5,-4)}
Answers
Answer:
Greetings !domain ={-6,-3,-1,5}to find domain just take the first values of each ordered pairs
range ={5,2,0,-4}to find the range just take the second values of each ordered pairs.
There are exactly 1,944 of the 12-, or 0.5-, cubes inside a rectangular prism.
What is the volume of the rectangular prism in cubic centimeters?
Enter your answer as a number, like this: 42
Answers
The volume of the rectangular prism is 3359232 cubic centimeters
How to determine the volume?The length of the cube is given as:
Length, l = 12 cm
The volume of a cube is:
[tex]V = l^3[/tex]
So, we have:
[tex]V = 12^3[/tex]
Evaluate
V = 1728
The volume of 1944 cubes is then calculated as:
Volume = 1728 * 1944
Evaluate
Volume = 3359232
Hence, the volume of the rectangular prism is 3359232 cubic centimeters
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Complete questionThere are exactly 1,944 of the 12 cm, or 0.5 foot cubes inside a rectangular prism. What is the volume of the rectangular prism in cubic centimeters?
Find the tangent of each acute angle in the triangle below. Select all that apply.
OPTIONS:
17/15
8/15
15/8
8/9
8/17
Answers
Answer: 8/15, 15/8
Step-by-step explanation:
By the Pythagorean theorem, the length of the unknown side is
[tex]\sqrt{17^{2}-8^{2}}=15[/tex]
So, the tangents of the acute angles are [tex]\boxed{\frac{8}{15}, \frac{15}{8}}[/tex]
Triangle A B C is shown. Side A C has a length of 27. Side C B has a length of 54.
Based on the diagram, which expresses all possible lengths of segment AB?
AB = 25
27 < AB < 81
AB = 85
AB< 27 or AB > 81
Answers
All possible lengths of segment AB wil be 27 < AB < 81.Option b is correct
What is the triangle?A triangle is a three-sided polygon. It is one of the most fundamental geometric forms.
Any two triangle sides' lengths added together are longer than the third side's length.
The triangular inequality theorem is applied in three ways;
1.
AC+BC > AB
27+54 > AB
81 > AB
2.
27+AB > 54
AB> 54-27
AB > -27
3.
54+AB > 27
AB > 27-54
AB > -27
All possible lengths of segment AB wil be 27 < AB < 81.
Hence option b is correct
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Answer:
27 < AB < 81
Step-by-step explanation:
The answer above is correct.
Which of the following expressions are equivalent to -3 x -6/10
A. 3/6 x 1/10
B. -3/10 x -6
C. None of the above
Answers
A
Cross out the common factor:
Determine the sign:
Write as a single fraction:
Calculate the product or quotient:
Write as a single fraction:
Calculate the product or quotient:
Cross out the common factor:
Check equivalency: False
Answer: False
B
Cross out the common factor:
Determine the sign:
Write as a single fraction:
Calculate the product or quotient:
Determine the sign for multiplication or division:
Cross out the common factor:
Write as a single fraction:
Calculate the product or quotient:
Check equivalency: True
Answer: True
C
Cross out the common factor:
Determine the sign:
Write as a single fraction:
Calculate the product or quotient:
Write as a single fraction:
Calculate the product or quotient:
Cross out the common factor:
Check equivalency: False
Answer: False
Triangles A B C and L M N are shown. Angle B A C is 58 degrees. Angle M L N is 78 degrees. Sides A B and L M are congruent. Sides A C and L N are congruent.
Given AC = LN and BA = ML, which statement must be true?
BC < MN
BC > MN
BC = MN
BA = LN
Answers
A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The correct option is A, BC < MN.
What is a triangle?A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°.
As per the given conditions, the angle that will be opposite to ∠A is BC and ∠L is MN.
Now since the measure of ∠L is more than the measure of ∠A, therefore, the side MN will be greater than BC.
Hence, the correct option is A, BC < MN.
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Answer: Option 1 or A. BC<MN
Step-by-step explanation: Trust Me!
The answer is correct on Edge. The proof is in the pic below.
Goodluck everyone! :)
Given AC = LN and BA = ML, which statement must be true?
A. BC < MN