Step-by-step explanation:
sinA=sinA
sin2A
(sinA)2
Elizabeth, Frank, Gary, and Helen are getting in line to buy lunch in the cafeteria. How many different ways could they line up so that Helen is first in line?
Find the missing side lengths.
AB=
BC=
Answer:
Step-by-step explanation:
20% of the cross-country runners in
a school team weigh between 60 kg
and 70 kg. If 4% of the school of 1125 students are in the cross-country team, how many students in the team weigh between 60kg and 70kg ?
Answer:
9 students
Step-by-step explanation:
First find the amount of cross-country team students, 4% * 1125 = 45
Then 20% * 45 = 9, so 9 students in the team weigh between 60 and 70 kilos.
the sum of a number and 10
Answer:
x+10
Step-by-step explanation:
x is any number and sum means addition, so x(number) +(sum) 10(10)
How does the image triangle compare to the pre-image triangle?
A triangle undergoes a sequence of transformations.
First, the triangle is dilated by a scale factor of 1/3 about the origin. Then the triangle is reflected over the x-axis. Finally, the triangle is translated left 3 units and up 2 units.
(I added the picture needed)
1.Create a sample space and find the product of each combination. What is the probability that a person wins the game? Express your answer as a fraction in lowest terms and as a percent rounded to the nearest tenth.
(answer to this one is 9/28 and 32.1%)
2. You realize a short time into the carnival that you don’t have enough prizes to last the entire event. You call your teacher, and she suggests that you change the winning number so that a participant will win only 25% of the time. What number will that be? Support your answer.
3. Participants achieving a winning score of 36 or higher in four consecutive attempts will receive a large prize! What is the probability of this occurring?
4. After changing the game rules, participants and the crowd are disappointed when the first five games yield scores of 12, 18, 30, 28, and 24. What statement can you recommend the teacher posts to reassure everyone that the game is fair?
Going by the rules of the game to pick a random card and then multiply it by a roll of a number cube, we can find that:
The probability a person wins a game is 3/8 or 37.5%.For a participant to win 25% of the time, they needs to get 32 or higher. The probability of a score of 36 or higher in 4 consecutive attempts is 1/1,1296.Teacher should tell people that just as the lower numbers could be picked, the products that are 32 or higher can be picked as well.What sample space represents the data?If the die is rolled, it will land on a number between 1 and 6 while there are only four cards that can be picked.
The sample space is:
Dice Card Product
1 5 5
1 6 6
1 7 7
1 8 8
2 5 10
2 6 12
2 7 14
2 8 16
3 5 15
3 6 18
3 7 21
3 8 24
4 5 20
4 6 24
4 7 28
4 8 32
5 5 25
5 6 30
5 7 35
5 8 40
6 5 30
6 6 36
6 7 42
6 8 48
Based on the products, we can come up with the following frequency table:
Frequency table
Product Frequency
5 1
6 1
7 1
8 1
10 1
12 1
14 1
16 1
15 1
18 1
21 1
24 2
20 1
28 1
30 2
32 1
25 1
35 1
40 1
36 1
42 1
48 1
Total 24
The frequency table shows that to get 28 or more, a person will have a relative frequency of:
= 1 + 2 + 1 + 1 + 1 + 1 + 1 + 1
= 9
Probability is:
= 9 / 24
= 3/8
= 37.5%
How can a person win only 25% of the time?The number of products required to win 25% of the time is:
= 25% x 24
= 6
To find the winning number, count down from the highest product 6 times to get 32.
What is the probability that a player wins a large prize?The probability of getting 36 or higher is:
= ∑(Probabability of picking 36 and above numbers)
= 1 / 24 + 1/24 + 1/24 + 1/24
= 1 / 6
The probability of repeating this 4 consecutive times is:
= 1 / 6 x 1 / 6 x 1/ 6 x 1 / 6
= 1 / 1,296
= 0.0007716
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La ecuación h(x) =23 es lineal?
Dr. Benton just got his PhD, and he wants to print copies of his thesis in hardcover book format. He could use Middletown Printing, paying a setup fee of $39 and $3 for every book printed. Alternately, he could go through Oxford University, paying an up-front fee of $35 and $5 per book. It turns out that, given the number of books Dr. Benton wants to print, the two options cost the same amount. How many books is that? What is the amount?
Which classification best represents a triangle with side lengths 6 cm, 10 cm, and 12 cm?
acute, because 62 + 102 < 122
acute, because 6 + 10 > 12
obtuse, because 62 + 102 < 122
obtuse, because 6 + 10 > 12
Answer:
obtuse because 6^2+10^2<10^2
Step-by-step explanation:
The given triangle whoe sides are 6cm, 10cm, and 12cm is an obtuse triangle and it can be determine by using pythagorian theorem, i.e. 6^2 + 10^2 < 12^2.
What is Pythagorean theorem?Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a^2 + b^2 = c^2.
here, we have,
Given :
The side lengths of a triangle are: 6cm, 10cm, and 12cm.
Pythagorian theorem can be used to find out that the triangles are acute or obtuse. According to pythagorian theorem, the sum of square of shorter side is equal to the square of the third side of the right angle triangle.
According to pythagorian theorem:.
That is, H^2 = P^2 + B^2.
There are some rules to find the triangle is obtuse or acute:
If H^2 > P^2 + B^2, than the triangle is obtuse.
If H^2 < P^2 + B^2, than the triangle is acute.
Now, applying pythagorian theorem:
we get,
6^2 + 10^2 = 12^2
136 = 144
Here, it is clearly observe that 136 < 144, i.e. 6^2 + 10^2 < 12^2 therefore, the triangle is obtuse.
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Domanin and range...
______Is obtained by dividing the population into groups and selecting all individuals from within a random sample of the groups.
please help me I'm in a rush
Answer:
78 m²
Step-by-step explanation:
V = bh
V = 13 m × 6 m
V = 78 m²
What are the solutions of this quadratic equation?
x^2 = 16x - 65
substitute the values of a and b to complete the solutions.
x = a + bi
x = a - bi
answers:
x = 8 + i
x = 8 - i
i hope this helps.
The solutions for the given quadratic equation are:
[tex]x = 8 \pm i[/tex]
How to find the solutions of the quadratic equation?
Here we have the quadratic equation:
[tex]x^2 = 16x - 65[/tex]
We can rewrite it as:
[tex]x^2 - 16x + 65 = 0[/tex]
Using Bhaskara's formulas, we get:
[tex]x = \frac{-(-16) \pm \sqrt{(-16)^2 - 4*65} }{2} \\\\x = \frac{16 \pm \sqrt{(-4)} }{2}[/tex]
Now, remember that:
[tex]\sqrt{-1} = i[/tex]
Then we can rewrite:
[tex]x = \frac{16 \pm \sqrt{-1} *\sqrt{4} }{2}\\\\x = 8 \pm i[/tex]
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A rectangular yard measures 8m x 6m. What happens to the area if each dimension is doubled?
Answer: 192
Step-by-step explanation:
2×8=16
2×6=12
17×12=192
So, the answer is 192.
GEOMETRY)
In the accompanying diagram of circle O, the m angle AOB=36^o. What is the m angle ACB ?
Answers…
A. 9^o
B. 36^o
C. 72^o
D. 18^o
(Picture is below) Thank you!
Answer:
SOLUTION :-
There is theorem/proof that tells that in these types of figure the other angle is double of the previous one
Means , the required angle will be ( 36 x 2 ) i.e. 72°.
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70 more points ez ez ez
[tex]y = 3x + 6 \\ switch \: y \: and \: x[/tex]
[tex]x = 3y + 6 \\ solve \: for \: y \\ x - 6 = 3y \\ y = \frac{x - 6}{3} [/tex]
A is the answerAnswer:
free tokens or something
Step-by-step explanaon
um i do not know so um bye?
Please help. I am so confused.
The fourth proportional is found by applying the formula
The product of extremes = The product of means.
The fourth proportional is equal to bc/a and st/r
Let the fourth proportional be x then this can be written as
a:b::c:x
Applying the formula of product of extremes
ax= bc
or
x= bc/a
The fourth proportional can be obtained by multiplying the variables bc and dividing by a
Similarly
Let the fourth proportional be y then this can be written as
r:s::t:y
Applying the formula of product of extremes
ry= st
or
y= st/r
The fourth proportional can be obtained by multiplying the variables st and dividing by r
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Plug x back in. What is the measurement of (8x - 20) degrees
The complement of y is 110 - 8x degrees.
What are complementary angles?Complementary angles are angles that add up to 90 degrees.
Therefore,
y = 8x - 20
The complement of y can be found as follows;
complement of y = 90 - (8x - 20)
complement of y = 90 - 8x + 20
complement of y = 110 - 8x
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The formula used to convert degrees Celsius to degrees Fahrenheit is
F=C+32.
Convert 59°F to degrees Celsius. Solve the formula for C, and then use it to
convert the temperature.
Which is the correct formula and conversion?
OA. C=F-32; conversion: 59°F = 135°C
OB. C= (F-32); conversion: 59°F = 15°C
OC. C= (F-32); conversion: 59°F = 106°C
OD. C=F-32; conversion: 59°F = 15°C
The formula to convert degrees Fahrenheit to Celsius is:
[tex]\bf{^{\circ}C=\dfrac{5}{9}(^{\circ}F-32) \ \ \to \ \ \ Formula }[/tex]
Convert 59°F to degrees Celsius.
Add the number 59 in the formula, and solve.
[tex]\bf{=\dfrac{5}{9}(59-32) }[/tex]
Subtract 32 from 59.
[tex]\bf{=\dfrac{5}{9}(27) }[/tex]
Multiply 5 x 9 = 135, then divide 135/9 = 15.
[tex]\bf{=15 \ ^{\circ}C}[/tex]
Therefore 59 °F = 15 °C. The correct option is "D".
{ Pisces04 }On babylonian tablet ybc 4652, a problem is given that translates to this equation: x x plus startfraction x over 7 endfraction plus startfraction 1 over 11 endfraction left-parenthesis x plus startfraction x over 7 endfraction right-parenthesis equals 60.(x ) = 60 what is the solution to the equation? x = 48.125 x = 52.5 x = 60.125 x = 77
The correct option is (A). The solution of the equation is x=48.125.
Given an equation [tex]x+\frac{x}{7}+\frac{1}{11}\left(x+\frac{x}{7}\right)=60[/tex].
A statement that uses the equal sign to show that two expressions have the same value is called an equation. The equation is represented as ax+by=c.
Firstly, we will apply the distributive property to the given equation a×(b+c)=ab+ac, we get
[tex]x+\frac{x}{7}+\frac{x}{11}+\frac{x}{77}=60[/tex]
Now, we will simplify the right-hand side equation by taking LCM, we get
[tex]\begin{aligned}\frac{77x+11x+7x+x}{77}&=60\\ \frac{96x}{77}&=60\end[/tex]
Further, we will multiply both sides with 77, we get
77×(96x/77)=77×60
96x=4620
Then, we will divide both sides with 96, we get
96x/96=4620/96
x=48.125
Hence, the solution of the given equation [tex]x+\frac{x}{7}+\frac{x}{11}+\frac{x}{77}=60[/tex] is x=48.125.
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Answer:
The correct option is (A). The solution of the equation is x=48.125.
Given an equation .
A statement that uses the equal sign to show that two expressions have the same value is called an equation. The equation is represented as ax+by=c.
Firstly, we will apply the distributive property to the given equation a×(b+c)=ab+ac, we get
Now, we will simplify the right-hand side equation by taking LCM, we get
Further, we will multiply both sides with 77, we get
77×(96x/77)=77×60
96x=4620
Then, we will divide both sides with 96, we get
96x/96=4620/96
x=48.125
Hence, the solution of the given equation is x=48.125.
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Step-by-step explanation:
Using desmos
A. Locate, plot, and label on your graph where the pH value is 0.1
B. Locate, plot, and label on your graph where the pH value is 1.
The attached graph represents the location of the pH values 0 and 1
How to plot the points?The given parameters are:
pH value 0 = (1, 0)
pH value 1 = (0.1, 1)
This means that we plot a point at the coordinate (1, 0) and another point at the coordinate (0.1, 1).
See attachment for the graph
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Complete question
The pH value is 0 at (1, 0) and 1 at (0.1, 1).
Using desmos
A. Locate, plot, and label on your graph where the pH value is 0.1
B. Locate, plot, and label on your graph where the pH value is 1.
The figure below shows one of the steps used in inscribing a square in a circle.
Answer:
Step-by-step explanation:
The oven temperature was at 325325325 degrees because my mom just finished baking a pie. i increased the temperature 757575 degrees so i could bake a pizza. after the pizza was cooked, i turned off the oven. the oven cooled to the room temperature of 686868 degrees.
The amount of the temperature decrease will be 332 °C.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
The oven temperature was at 325 degrees because my mom just finished baking a pie.
I increased the temperature, 75 degrees, so I could bake a pizza.
Then the temperature will be
⇒ 325 °C + 75 °C
⇒ 400 °C
After the pizza was cooked, I turned off the oven.
The oven cooled to the room temperature of 68 degrees.
Then the amount of the temperature decrease will be
⇒ 400 °C – 68 °C
⇒ 332 °C
The remaining question is given below.
How much did the temperature decrease?
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At the amusement park, Jack bought child and adult tickets costing $1.50
and $2.50, respectively. He bought a total of 9 tickets and paid $16.50.
How many of each kind of ticket did he buy?
A square-based pyramid has a base of area 16 cm² and a volume of 16 cm³. Calculate:
a. The perpendicular height of the pyramid.
b. The height and area of the base of a similar pyramid with a volume of 1024 cm³.
Answer:
3
Step-by-step explanation:
V=⅓b²h
16=⅓*16*h
16=16h/3
h=3cm
r
A model car racetrack is formed by two semicircles as shown below.
9 cm
Find the perimeter of the entire figure.
Use T = = 3.14
2 cm
17
The diameter of the inner semicircles is 9 cm.
The width between the outer and inner semicircles is 2 cm.
>
The perimeter of the entire figure is 62.8 cm.
Given, that the diameter of the inner semicircles is 9 cm and the width between the outer and inner semicircles is 2 cm.
The radius of the inner semicircle =4.5 cm and the radius of outer semicircle =5.5 cm (∵Diameter=9+2=11 cm)
We need to find the perimeter of the entire figure.
What is the perimeter?A perimeter is a closed path that encompasses, surrounds, or outlines either a two-dimensional shape or a one-dimensional length. The perimeter of a circle or an ellipse is called its circumference.
We know that, the circumference of a semicircle=πr and the circumference of two semicircles=2πr
Thus, the circumference of inner semicircles=2×3.14×4.5=28.26 cm
The circumference of outer semicircles=2×3.14×5.5=34.54 cm
The perimeter of the entire figure=28.26+34.54=62.8 cm
Therefore, the perimeter of the entire figure is 62.8 cm.
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The perimeter of whole path is 12.56 cm
What is Perimeter?Perimeter is the distance around the edge of a shape.
r1= 4.5cm, r2= 6.5cm
Perimeter of semicircle 1,
=πr1
= 3. 14 * 4.5
= 14.13 cm
Perimeter of semicircle 2
=πr2
= 3. 14 * 6.5
= 20.41 cm
Perimeter of path = 20.41 - 14.13 =6.28 cm
Perimeter of whole path = 2 * 6.28 =12.56
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2. Simplify the expression. (x3)(x7)²
1
x18
x14
x126
Step-by-step explanation:
[tex] = ( {x}^{3} ) { ({x}^{7} )}^{2} [/tex]
[tex] = {x}^{3} \times {x}^{7 \times 2} [/tex]
[tex] = {x}^{3} \times {x}^{14} [/tex]
[tex] = {x}^{3 + 14} [/tex]
[tex] = {x}^{17} [/tex]
Which of the following is equivalent to
60 1/2
Answer:
30 or 120 /4
Step-by-step explanation:
a^p/q here p denotes power raised and q denotes inverse power or root. So, 60^1/2 denotes square root of 60 raised to power 1.
The layout of a playground uses the scale 1:50. If the dimensions of the playground in the layout are given by 180 cm x 240 cm, what is the actual area of the playground in square meters?
The area of the playground of dimensions 18 and 240is 432 [tex]m^{2}[/tex].
Given If the dimensions of the playground in the layout are given by 180 cm x 240 cm.
The area of rectangle is length *breadth.
The given playground is in the shape of rectangle because there are two sides given and both the sides are different. In a rectangle length of opposite side found to be equal and each side form an angle of 90 degree.
Area=length*breadth
=180*240
=43200 [tex]cm^{2}[/tex]
We have to convert in meters so we have to divide by 100.
Area=43200 [tex]cm^{2}[/tex]
=43200/100
=432 [tex]m^{2}[/tex]
Hence the area of playground having dimensions 180 cm and 240 cm is 432[tex]m^{2}[/tex].
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7. Which transformation of (x, y) is a dilation? (TEKS G.3.A)
F (3x, y)
G (-y, x)
H (3x, 3y)
J (x + 3, y + 3)
Answer:
H (3x,3y)
Step-by-step explanation:
Dilation is a transformation when figure is enlarged or reduced by scale factor. During dilation, every point of preimage is dilated by scale factor, so it means each coordinate of that point must be multiplied by scale factor.
Hence, H(3x,3y) can be the result of dilation with scale factor of 3.