The measure of an arc refers to the arc length divided by the radius of the circle. The arc measure equals the corresponding central angle measure, in radians. That's why radians are natural: a central angle of one radian will span an arc exactly one radius long.
Total area=
Help me please thanks so much
The surface area of the parallelpiped is equal to 800 square units.
What is the surface area of a parallelpiped?
The surface area of the parallelpiped seen in the picture is equal to the sum of the areas of its six faces, which are combination of areas of quadrilaterals and triangles. There are four parallelograms and two squares. Thus, the surface area of the solid is:
A = 2 · 8 · 20 + 2 · 7 · 20 + 2 · 10²
A = 800
The surface area of the parallelpiped is equal to 800 square units.
To learn more on parallelpipeds: https://brainly.com/question/14950719
#SPJ1
All the events in the sample space that are not part of the specified event are called _____. Group of answer choices joint events the complement of the event simple events independent events
All the events in the sample space that are not part of the specified event are called Complement of Event.
Complement of event:
The complement of an event is the subset of outcomes in the sample space that are not in the event. A complement is itself an event. The complement of an event A is denoted as A c A^c Ac or A′. An event and its complement are mutually exclusive and exhaustive.
Two events are said to be complementary when one event occurs if and only if the other does not. The probabilities of two complimentary events add up to 1. For example, rolling a 5 or greater and rolling a 4 or less on a die are complementary events, because a roll is 5 or greater if and only if it is not 4 or less.
Learn more about Complementary Event on:
https://brainly.com/question/2064788
#SPJ4
Total area=
Help me please!! Thanks so much
Quick algebra 1 question for 50 points!
Only answer if you know the answer, quick shout-out to Yeony2022, tysm for the help!
Answer:
C. Best models this relationship
Step-by-step explanation:
Answer:
C: y=1/3x
Step-by-step explanation:
I'll set up an equation for this.
When x = 6, y needs to be 2.
--> 2 = 6 times ___
since 6 times 1/3 is 2, ___ is 1/3.
Now we know that 1/3 is the slope. In a complete equation, this will be shown as y = 1/3 x.
This can be proven by reinserting the value of x and y.
2 = 1/3 (6)
Since this equation works, we can be sure that C: y=1/3 x is correct.
La suma de un número con su mitad es igual a 75. ¿Cuál es ese número?
Doy corona porfis
Considerando la definición de una ecuación, el número desconocido es 50.
Definición de ecuaciónUna ecuación es la igualdad existente entre dos expresiones algebraicas conectadas a través del signo de igualdad en la que figuran uno o varios valores desconocidos, llamadas incógnitas, además de ciertos datos conocidos.
Los miembros de una ecuación son cada una de las expresiones que aparecen a ambos lados del signo igual.
Número desconocidoEn este caso, "La suma de un número con su mitad es igual a 75" puede ser expresado mediante una ecuación, donde consideras que "x" es la incógnita, que representa el número desconocido.
Teniendo en cuenta que la mitad de un número se calcula dividiendo el número por 2, entonces la ecuación queda expresada como:
x + x÷2= 75
O lo que es lo mismo
x + [tex]\frac{1}{2}[/tex]x= 75
Resolviendo:
[tex]\frac{3}{2}[/tex]x= 75
x= 75 ÷[tex]\frac{3}{2}[/tex]
x= 75×[tex]\frac{2}{3}[/tex]
x=50
Finalmente, el número desconocido es 50.
Aprende más sobre ecuaciones con estos ejemplos:
brainly.com/question/24581345
brainly.com/question/24585838
brainly.com/question/24603998
brainly.com/question/22694378
#SPJ1
A square has a side length of 10 inches. Congruent isosceles right triangles are cut off each corner so that the resulting octagon has equal side lengths. How many inches are in the length of one side of the octagon
The length of the side of the octagon is 4.142 inches.
We can find the length of the sides of the octagon as follows:Let the length of the congruent sides of the isosceles triangle be x.
The hypotenuse of the triangle is given by:
√x+x = √2x
This is also the length of the sides of the octagon. It is given that the sides of the octagon are equal.
It is also given that the length of the square side is 10 inches.
This means that:
x + √2x + x = 10
2x + √2x = 10
(2 + √2)x = 10
(2 + 1.414)x = 10
3.414x = 10
x = 10/3.414
x = 2.929 inches.
The side of the octagon is given by:
√2 × 2.929 = 4.142 inches
Therefore, we have found that the length of the sides of the octagon is 4.142 inches.
Learn more about octagons here: https://brainly.com/question/358118
#SPJ4
I forgot how to do this, I need an explanation to find the answer
Answer:
23.53
Step-by-step explanation:
OK so we got sin 52°=0.8 and the cos 52°=0.6
but we need tan 52° because we don't want to spend our time on calculating hypothenuse so
[tex] \frac{ \sin(52) }{ \cos(52) } = 1.3 = \tan(52) [/tex]
so
[tex]1.3 = \frac{x}{18.1} = = = > x = 23.53[/tex]
help me pleaseeeeeeee
Answer:
x = -4/3 or x = 3/2
Step-by-step explanation:
Let's solve your equation step-by-step.
6x^2−x−12=0
Step 1: Factor left side of equation.
(3x+4)(2x−3)=0
Step 2: Set factors equal to 0.
3x+4=0 or 2x−3=0
x = -4/3 or x = 3/2
Answer:
x = -4/3 or x = 3/2
The slope in the simplest form
Find the measure of each numbered angle.
Answer: [tex]m\angle 1=82^{\circ}, m\angle 2=128^{\circ}[/tex]
Step-by-step explanation:
By the same-side interior angles theorem,
[tex]m\angle 1=180^{\circ}-98^{\circ}=82^{\circ}\\\\m\angle 2=180^{\circ}-52^{\circ}=128^{\circ}[/tex]
Pmlease helppp tyyyy
Answer:
Step-by-step explanation:
Solving quadratic equation using formula:5x² - 6x - 2 = 0
a = Coefficient of x² = 5
b = coefficient of x = -6
c = constant = -2
Discriminant = D = b² - 4ac
= (-6)² - 4 * 5 * (-2)
= 36 + 40
= 76 > 0
So, the quadratic equation has two distinct real roots.
[tex]\sf \boxed{\bf x = \dfrac{-b \± \sqrt{D}}{2a}}\\\\[/tex]
[tex]\sf = \dfrac{-[-6] \± \sqrt{76}}{2*5}\\\\= \dfrac{6 \±8.7}{10}\\\\=\dfrac{6+8.7}{10} \ ; \ or \ x =\dfrac{6-8.7}{10}\\\\=\dfrac{14.7}{10} \ ; \ or \ x = \dfrac{-2.7}{10}[/tex]
x = 1.47 or x = -0.27
Answer: x = 1.5 or (-0.3)
b) x² + 3x = 40
x² + 3x - 40= 0
We can solve the quadratic equation using factor method.
Sum = 3
Product = -40
Factors = 8 , (-5)
When we add, 8 + (-5) = 3 , we get 5and when we multiply 8 *(-5) = -40, we get -(-40).
Rewrite the middle term of the quadratic equation using the factors.
x² + 8x - 5x - 40 = 0
x(x + 8) - 5(x + 8)= 0
(x + 8) (x - 5) = 0
x + 8 = 0 or x - 5 = 0
x = -8 or x = 5
Answer : x = -8 , 5
For 3, 5, Are the triangles similar? If so, state the similarity and the postulate or theorem that justifies your answer.
Please help me solve the answers
The modal and mean mark of the frequency distribution is 5 and 4.83 respectively.
Mean and modeMode refers to a mark which reoccurs most in a frequency distribution.
Modal mark = 5The total number of students who wrote the test = 2 + 3 + 4 + 6 + 10 + 4 + 3 + 2 + 1 + 1
= 36 students
Mean mark = Total mark / Total students
= (2×1) + (3×2) + (4×3) + (6×4) + (10×5) + (4×6) + (3×7) + (2×8) + (1×9) + (1×10) / 36
= (2+6+12+24+50+24+21+16+9+10 / 36
= 174/36
= 4.83333333333333
Approximately,
Mean mark = 4.83
If 25% of students failed,
Number of students who failed = 25% of 36
= 25/100 × 36
= 0.25 × 36
= 9 students.
Learn more about mean and mode:
https://brainly.com/question/14532771
#SPJ1
Beth is planning a playground and has decided to place the swings in such a way that they are the same distance from the jungle gym and the monkey bars. If Beth places the swings at point D, how could she prove that point D is equidistant from the jungle gym and monkey bars?
If segment DC bisects segment AB, then point D is equidistant from points A and B because a point on a perpendicular bisector is equidistant from the endpoints of the segment it intersects.
If segment DC bisects segment AB, then point D is equidistant from points A and B because congruent parts of congruent triangles are congruent.
If segment AD bisects segment AB, then point D is equidistant from points A and B because a point on a perpendicular bisector is equidistant from the endpoints of the segment it intersects.
If segment AD bisects segment AB, then point D is equidistant from points A and B because congruent parts of congruent triangles are congruent.
Option A is correct. If segment DC bisects segment AB, then point D is equidistant from points A and B because a point on a perpendicular bisector is equidistant from the endpoints of the segment it intersects. This can be obtained using perpendicular bisector theorem.
What is perpendicular bisector theorem ?Perpendicular bisector theorem : In a plane, if we choose a point, say D, on the perpendicular bisector,say PQ, drawn from segment, say AB, then the point D is equidistant from the endpoints, that is A and B, of the segment.
That is, perpendicular bisector PQ of line segment AB is the line with Q = 90° and Q is the midpoint of AB ⇒ AQ = BQ. A point on PQ say D is equidistant from A and B ⇒AD and BD.
Thus in the given question we can use perpendicular bisector theorem.
Here DC is the perpendicular bisector of the line segment AB and therefore AD and BD are equal.
Hence it is clear that Option A is correct.
Learn more about perpendicular bisector theorem:
brainly.com/question/4186530
#SPJ1
To fit in an existing frame, the length, x, of a piece of glass must be longer than 12 cm but not longer than 12.2 cm. Which inequality can be used to represent the lengths of the glass that will fit in the frame?
12 < x ≤ 12.2
12 > x ≤ 12.2
x > 12 or x ≤ 12.2
x < 12 or x ≤ 12.2
Considering the definition of an inequality, the inequality that expresses the previous relationship is 12 < x ≤ 12.2
Definition of inequalityAn inequality is the existing inequality between two algebraic expressions, connected through the signs:
greater than >.less than <.less than or equal to ≤.greater than or equal to ≥.An inequality contains one or more unknown values called unknowns, in addition to certain known data.
Solving an inequality consists of finding all the values of the unknown for which the inequality relation holds.
Inequality in this caseIn this case, you know that to fit in an existing frame, the length, x, of a piece of glass must be longer than 12 cm but not longer than 12.2 cm.
It means that the length has to be strictly greater than 12 cm but less than or equal to 12.2 cm. In other words, length of frame must be longer than 12 cm means that x>12, while ength of frame not longer than 12.2 cm means x≤12.2
Finally, the inequality that expresses the previous relationship is
12 < x ≤ 12.2
Learn more about inequality:
brainly.com/question/4345175
brainly.com/question/1673645
#SPJ1
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).The graph represents the piecewise function:
The definition of the piecewise function is given as follows:
[tex]f(x) = x + 3, -3 \leq x < 1[/tex].[tex]f(x) = 5, -1 \leq x \leq 1[/tex].What is a piecewise function?A piecewise function is a function that has different definitions, depending on the input.
Researching this problem on the internet, for x equal or greater than -3 and less than -1, the function is a line with a slope of 1 that goes through (-3,0), hence the definition is found as follows:
y = x + b
0 = -3 + b
b = 3
Then:
[tex]f(x) = x + 3, -3 \leq x < 1[/tex].
For x between -1 and 1, inclusive, the function is constant at 5, hence the definition is:
[tex]f(x) = 5, -1 \leq x \leq 1[/tex].
More can be learned about piecewise functions at https://brainly.com/question/27262465
#SPJ1
There are federal excise taxes on the retail price when purchasing fishing equipment. the taxes are intended to help pay for parks and conservation. what is the federal excise tax rate if there is an excise tax of $17.50 on a fishing rod and reel that has a retail price of $175?
Using proportions, it is found that the federal tax rate is of 10%.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The tax rate is the proportion that $17.50 is of $175, hence:
r = 17.50/175 = 0.1 = 10%.
The federal tax rate is of 10%.
More can be learned about proportions at https://brainly.com/question/24372153
#SPJ1
The sum of the reciprocal of a positive number and the reciprocal of 3 more than the number is
7/10. Find the number.
Write an equation with the following characteristics:
1. It uses x to represent the number.
2. It uses the information as it is given above.
3. It can be solved to answer the question.
Equation:
The number is:
Answer:
[tex]\sf Equation: \quad \dfrac{1}{x}+\dfrac{1}{x+3}=\dfrac{7}{10}[/tex]
The number is 2.
Step-by-step explanation:
The reciprocal of a number is simply 1 divided by the number.
The reciprocal of a fraction is where the numerator and denominator are swapped (so the fraction is turned upside down).
Let x be the positive number.
The reciprocal of the positive number x:
[tex]\sf \implies \dfrac{1}{x}[/tex]
The reciprocal of 3 more than the number x:
[tex]\sf \implies \dfrac{1}{x+3}[/tex]
The sum of the reciprocal of a positive number and the reciprocal of 3 more than the number is 7/10:
[tex]\implies \sf \dfrac{1}{x}+\dfrac{1}{x+3}=\dfrac{7}{10}[/tex]
To solve, make the denominators of the two fractions on the left side the same by multiplying them.
Multiply the numerator of the first fraction by the denominator of the second fraction to get the new numerator of the first fraction.
Multiply the numerator of the second fraction by the denominator of the first fraction to get the new numerator of the second fraction.
[tex]\implies \sf \dfrac{1(x+3)}{x(x+3)}+\dfrac{1(x)}{(x+3)(x)}=\dfrac{7}{10}[/tex]
[tex]\implies \sf \dfrac{x+3}{x(x+3)}+\dfrac{x}{x(x+3)}=\dfrac{7}{10}[/tex]
Add the numerators and keep the denominator so that there is now one fraction:
[tex]\implies \sf \dfrac{2x+3}{x(x+3)}=\dfrac{7}{10}[/tex]
Cross multiply:
[tex]\implies \sf 10(2x+3)=7x(x+3)[/tex]
Expand:
[tex]\implies \sf 20x+30=7x^2+21x[/tex]
Rearrange so the equation is equal to zero:
[tex]\implies \sf 7x^2+x-30=0[/tex]
Split the middle term:
[tex]\implies \sf 7x^2+15x-14x-30=0[/tex]
Factor the first two terms and last two terms separately:
[tex]\implies \sf x(7x+15)-2(7x+15)=0[/tex]
Factor out the common term (7x + 15):
[tex]\implies \sf (x-2)(7x+15)=0[/tex]
Apply the zero product property:
[tex]\sf (x-2)=0 \implies x=2[/tex]
[tex]\sf (7x+15)=0 \implies x=-\dfrac{15}{7}[/tex]
As x is a positive number, x = 2.
Learn more about fractions here:
https://brainly.com/question/27943438
https://brainly.com/question/27979364
Question 14 of 23
Which of the following describes a compound event?
OA. spinning a 3 on a spinner
OB. rolling a 3 on a die
OC. getting tails on a coin toss
OD. rolling a 5 on a die and drawing a 10 from a deck of cards
SUBMIT
Answer:
B
Step-by-step explanation:
what is the value of x
find the value of f
Answer:
x = 20°
f = 40°
Step-by-step explanation:
4x + 5x = 180°
because a straight line is 180°
so 9x = 180°
1x = 180 ÷ 9
1x = 20
all angles in a triangle add together is 180°
so 7x + f = 180°
1x = 20
7x = 20 × 7
7x = 140°
f = 180° - 140 °
f = 40°
Answer:
x = 20 , f = 40
Step-by-step explanation:
4x and 5x are a linear pair and sum to 180° , then
4x + 5x = 180
9x = 180 ( divide both sides by 9 )
x = 20
then
5x = 5 × 20 = 100° and 3x = 3 × 20 = 60°
the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
5x is an exterior angle of the triangle , then
f + 3x = 5x , that is
f + 60 = 100 ( subtract 60 from both sides )
f = 40
In a recent baseball season, Ron was hit by pitches 19 times in 596 plate appearances during the regular season. Assume that the probability that Ron gets hit by a pitch is the same in the playoffs as it is during the regular season. In the first playoff series, Ron has 22 plate appearances. What is the probability that Ron will get hit by a pitch exactly once
The probability that Ron will get by a pitch exactly once is 0.351912.
Given that out of 596 plate appearance Ron was hit 19 times from pitches.
We have to find the probability that ron was hit by pitches in 22 plate appearances.
The value of probability lies between 0 and 1. The formula of calculating proabability is number of items/ total items.
We can find the required probability through binomial distribution which is
n[tex]C_{r}p^{r} (1-p)^{n-r}[/tex] where n is the number of trials and r is the successes.
Probability that Ron will be hit =19/596
=0.031
Probability that Ron will get hit by a pitch exactly once =P(X=1)
=[tex]22C_{1}(0.031)^{1} (1-0.031)^{21}[/tex]
=22!/1!21!*0.031*[tex](0.969)^{21}[/tex]
=22*0.031*0.516
=22*0.015996
=0.351912
Hence the probability that Ron will get hit by a pitch exactly once is 0.35.
Learn more about probability at https://brainly.com/question/24756209
#SPJ4
4 kilograms of almonds cost $34. how much does it cost for kilograms of almonds?
The cost of kilograms of almonds is $8.5 if 4 kilograms of almonds cost $34.
According to the questions,
4 kilograms of almonds cost $34. In order to find one kilograms of almonds only if we divide 34 by 4.
= [tex]\frac{34}{4}[/tex] = 8.5
Hence, the cost of kilograms of almonds is $8.5 if 4 kilograms of almonds cost $34.
Learn more about kilograms here
https://brainly.com/question/16210757
#SPJ4
Instructions: Find the missing length indicated.
400
144
X
The missing side of a right triangle x is 24 units.
How to find side of a right angle triangle?A right triangle has one of its angles as 90 degrees. The side of a right angle triangle can be found using trigonometric ratios.
The side x can be found using similar triangle ratios,
Hence,
x / 400 = 144 / x
cross multiply
x × x = 400 × 144
x² = 57600
square root both sides
√x² = √57600
x = 240
Therefore, the value of x in the right triangle is 240 units.
learn more on right triangle here: brainly.com/question/14324872
#SPJ1
If you select 25 in the top values list, access displays _____ in the query results.
If you select 25 in the Top Values list, Access displays the top 25 records in the query results.
How to find Access Query Results?Queries are excellent tools in Microsoft Excel to show information from related tables in a single result set, as the results that you pull from queries aren’t limited to a single table.
The way to create a simple query using the wizard is as follows;
Click the “Query Wizard” button in the “Queries” group on the “Create” tab in the Ribbon. In the “New Query” dialog box that appears, you can see the ways in which you can create queries. Select the “Simple Query Wizard” choice.Click “OK” to begin.Now, If you select 25 in the top values list, access displays the top 25 records in the query results.
Read more about Access Query Results at; https://brainly.com/question/25266819
#SPJ1
ABC Corporation recently issued an IPO. Shortly thereafter it decides it wants to buy back some of its shares. What time frame restrictions would ABC face in order to buy back their own stock
The time restriction faced by ABC Corporation for it to buy back its newly issued shares is 4 weeks
What is share buyback?
Share buyback means that the company would repurchase its own shares in the stock market by paying investors holding the shares, then reduce its number of shares outstanding by the number of shares bought back.
The shares repurchased are known as Treasury stocks, which are held until the company decides to reissue them or cancel them.
The restriction placed on a company before it can repurchase its shares is that the shares must be in issue 4 weeks, in other words, the new issued shares through Initial Public Offer(IPO) must be existence for 4 weeks before being repurchased by the company after having issued an IPO.
Find out more about share buyback on:https://brainly.com/question/17008897
#SPJ1
What is the time 100 minutes after 13:15
The coordinates of a quadrilateral are (2,1), (-1,3), (-5,-3), and (-2,-5).
The quadrilateral is a because are parallel and since the product of the slopes of both pairs of segments is -1,
The quadrilateral is a parallelogram because both pairs of opposite sides are parallel and since the product of the slopes of both pairs of adjacent segments is -1, the quadrilateral is a rectangle
Answer:
The guy above is somewhat right.
Hope this helps!
Step-by-step explanation:
The quadrilateral is a rectangle.
The density of a certain material is such that it weighs 5 ounces per gallon of volume what is the density in pounds per cubic meter
The density in pounds per cubic meter is 83 pounds per cubic metre.
How to find density?The density is mass of a unit volume of a material substance.
In other words, density is the ratio between mass and volume or mass per unit .
Therefore, density can be represented mathematically as follows:
density = mass / volume
Hence,
mass = 5 ounces
5 ounces = 0.3125 pounds
1 gallon = 0.00378541 pounds
Therefore,
density = 0.3125 / 0.00378541
density = 82.5538052681
density = 83 pounds per cubic metre.
learn more on density here: brainly.com/question/14324872
#SPJ1
What are the first five terms in the
recursive sequence defined by the
following?
The first five terms of the sequence are {0, -1.4, -2.8, -4.2, -5.6}
Recursive functionGiven the nth term of a recursive expression shown below
an =an-1 - 1.4
where
an-1 is the preceding term
a1 is the first term
an is the nth term
an-1 is
Given the following
a1 = 0
For the second term a2
a2 = 0 - 1.4
a2 = -1.4
For the third term a3
a3 = -1.4 - 1.4
a3 = -2.8
For the fourth term a4
a4 = -2.8 - 1.4
a4 = -4.2
For the fifth term a2
a5 = -4.2 - 1.4
a5 = -5.6
Hence the first five terms of the sequence are {0, -1.4, -2.8, -4.2, -5.6}
Learn more on recursive function here: https://brainly.com/question/489759
#SPJ1
If the price of gas started at $2.56 per gallon and increased at a rate of 4% per year, after how many years will the price of gasoline per gallon reach or exceed $5?
The price of gas is modeled by f(x) = 2.56(1.04)x.
Use logarithms to find the answer to the question.
Answer: 18 years
Work Shown:
[tex]f(\text{x}) = 2.56(1.04)^\text{x}\\\\5 = 2.56(1.04)^\text{x}\\\\5/2.56 = (1.04)^\text{x}\\\\1.953125 = (1.04)^\text{x}\\\\\log(1.953125) = \log(1.04^\text{x})\\\\\log(1.953125) = \text{x}*\log(1.04)\\\\\text{x} = \frac{\log(1.953125)}{\log(1.04)}\\\\\text{x} \approx 17.0682937693249\\\\[/tex]
The steps above show f(x) replaced with 5. Then you'd use logarithms to isolate the variable x. The relevant useful log rule is [tex]\log(A^B) = B\log(A)[/tex] so we can pull down the exponent.
From here it seems your teacher wants you to round up to the nearest integer.
If we plugged in x = 17, then f(x) = 4.99 which is one cent too small.
While x = 18 leads to f(x) = 5.19
Therefore, x = 18 has the price reach or exceed $5