Answer:
AC = 23
Step-by-step explanation:
Discussion
AB and AC start from the same point -- A.
That means that when speaking of tangents to a circle that AB = AC
Answer
AB = 23 in Given
AC = 23 2 tangents to a circle starting from the same point are =
On a necklace of 150 beads 75 beads are glass and 78 are ceramic what percent of beads are glass
Answer:
Doesn't make sense but with the information given. To find the percentage of glass beads on the necklace, you need to divide the number of glass beads by the total number of beads and multiply by 100.
You can use the formula:
percent = (number of glass beads / total number of beads) x 100
In this case:
percent = (75 / 150) x 100 = 0.5 x 100 = 50
So, 50% of the beads on the necklace are glass.
Determine the range of the following graph: 12 11 10 8 5432 1 -12-11-10-9-8-7-6-5-4-3-2-1₁ - -5 -8 -9 -10 -12 1 2 3 4 5 6 7 8 9 10 11 12
The range of this graph (see attachment) include the following: {8, -6}.
How to identify the domain and range of a function?In Mathematics, the horizontal extent of any graph of a function represents all domain values and they are read and written from smaller to larger numerical values, and from the left of a graph to the right.
Additionally, the vertical extent of any graph of a function represents all range values and they are always read and written from smaller to larger numerical values, and from the bottom of the graph to the top.
By critically observing the graph shown in the image attached below, we can reasonably and logically deduce the following:
Domain = -6 < x < 11 or [-6, 11].
Range = -6 < y < 8 or [-6, 8].
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What is the exponential form of 5184?
Answer:
The exponential form of 5184 is 5184
In simple words, the exponents can said to be the powers of the base. For example, in 2³, the exponent will be 3. If a number is given without any power then its power is 5184. The exponential form is simply the number with exponents.
In the figure below, =m∠JKM 88°, =m∠NKM 26°, and KN bisects ∠LKM. Find m∠JKL.
The value of the missing angle m<JKL is; 46º
How to find the missing angles?Since we are told that the angle KN bisects ∠LKM then to get m<LKN, we just multiply 26° by 2 to get;
m<LKM = 26° * 2
= 52º
Now, since JKM is the total of all angle measurements, then we can say that;
88 - 52 = 36 degrees
Thus; m<JKL = 46º
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Paragraph prove statement
The paragraph proof is a proof written in the form of a paragraph. In other words, it is a logical argument written as a paragraph, giving evidence and details to arrive at a conclusion.
What is Paragraph prove statement?Paragraph proofs are comprehensive paragraphs that explain the process of each proof. Like two-column proofs, they have multiple steps and justifications. But instead of columns, the given information is formatted like a word problem — written out in long-hand format.
Since vertical angles are congruent, it is known that angle DCB is congruent to angle ACE. It can now be concluded that triangle DCB is congruent to triangle ACE according to the Side-Angle-Side (SAS) theorem.
There are two different types of proofs: informal and formal. Formal proof is often introduced using a two-column format, as favored by many geometry teachers.
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Complete question:
What is a Paragraph prove statement?
please answer this fast i got 5 minuets
Under a dilation centered at the origin, the point (-4,3) has image at (8, -6).
What is the scale factor of the dilation?
Answer:
The scale factor is 3. Step-by-step
Step-by-step explanation:
Can you explain this too me please?
The situation regarding the experimental probability is described as follows:
The probability that she makes a shot is of 62.5% = 5/8. Use whole numbers from 1 to 8, with 1-5 representing shots that she makes, and 6-8 representing the shots that she misses. For each trial, generate 10 random numbers. Count the number of trials in which the numbers 1 - 5 appears 3 or more times. Divide the number of trials in which she made at least 3 shots by the total number of trials.
How to obtain a probability?A probability is calculated as the division of the number of desired outcomes by the number of total outcomes.
The theoretical probability of making a shot in this problem is given as follows:
62.5%.
The equivalent fraction is given as follows:
5/8.
Hence, to obtain the experimental probability, we need to design an experiment for which there are eight possibilites, with five of them composing a success and three of them composing a failure.
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Solve using systems by substitution whats is y=x+8 and x+y=2
Answer:
Step-by-step explanation:
y = x + 8
x + y = 2
using substitution, since y is equal to x + 8 we substitute it for the y in x + y = 2
so we get: x + (x+8) =2
then we simplify, getting 2x + 8 = 2
We make the x on its own on one side of the equation by subtracting 8 on both sides.
2x = -6
divide
x = -3
y = 5
(if x = -3, y = 5 because -3 + 8 =5)
test answer
5 = -3 + 8 works and -3 + 5 = 2 works as well
the table below shows the number of cap and salmon in 3 different lakes. for each lake write the ratio of carp to salmon in the from 1:n. put the lakes in ascending order on the proportion of fish that sre salmon
carp | salmon
---------------------
lake a | 15 | 48
lake b| 35 | 7
lake c | 9 | 30
The ratio of carp to salmon for each lake is given as follows:
Lake a: 1 : 3.2.Lake b: 1 : 0.2.Lake c: 1: 3.33.
Then the ascending order on the proportion of fish that are salmon is given as follows:
Lake b, Lake c, Lake c.
How to obtain the ratios?The ratio of an amount A over an amount B is obtained applying the proportion of these amounts, that is, the division of A by B.
The ratios of carp to salmon, in the form 1:n, are obtained considering that n is the division of the number of salmon by the number of carp, hence:
Lake a: n = 48/15 = 3.2.Lake b: n = 7/35 = 0.2.Lake c: n = 30/9 = 3.33.The higher rates of salmon have the higher values of n, thus the ascending order of the proportion of fish that are salmon is given as follows:
Lake b, Lake c, Lake c.
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Choose the statement that describes a relationship that has a negative slope. A Stan makes $2 for every customer on his newspaper route. B Lisa's parents give her $10 each week for her allowance. C Greg pays $25 each time he goes rock climbing. D The booster club makes $3 profit for each t-shirt they sell.
The statement that describes a relationship that has a negative slope: "Greg pays $25 each time he goes rock climbing".
What is negative slope?A negative slope indicates that two variables are adversely connected; that is, when x rises, y falls, and when x falls, y rises. A negative slope on a line graph signifies that the line falls as it travels from left to right. For example, when the number of individuals that quit smoking (x) grows, the number of persons developing lung cancer (y) drops. This relationship's graph has a negative slope. Positive slopes are predicated on the fact that when x grows, so does y, hence the change in y/change in x is positive. Negative slopes are based on the fact that when x grows, y decreases, resulting in a negative change in y/positive change in x, yielding a negative response.
Here,
"Greg pays $25 every time he goes rock climbing," says the statement describing a connection with a negative slope.
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Garrett went to Good Buys where all prices are discounted 15%. He buys a vintage Waring blender, after the 15% discount, for $42. What is the original price of the blender before the discount. Round your answer to the nearest hundredths.
The original price of the blender before the discount is $49.41.
How to calculate the original price of the blenderWe shall represent the original price of the blender with the letter x so that we use $x to evaluate for the original price before the discount price as follows:
x - 15x/100 = $42 {simply the left hand expression to a single fraction}
(100x - 15x)/100 = $42 {simply the terms in the bracket}
$85x/100 = $42
$85x = $4200 {cross multiplication}
$85x/$85 = $4200/$85 {divide through by $85}
x = $49.41
Therefore, the original price of the blender before the discount is $49.41
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Help
Directions: Identify the binomial factors of the following trinomials.
1. x2 + 9x + 20
2. x2 + 7x + 12
3. x2 + 8x + 15
4. x2 + 7x + 12
5. x2 + 11x + 10
6. x2 + 7x + 6
7. x2 + 5x + 4
8. x2 + 10x + 21
9. x2 + 10x + 16
10. x2 + 10x + 9
11. x2 + 12x + 20
12. x2 + 15x + 14
13. x2 + 13x + 42
14. x2 + 9x + 18
15. x2 + 16x + 60
Answer:
1. x= -1 & x= -13
2. x= -3 & x= -4
3. x= -3 & x= -5
4. x= -6 & x= -2
5. x= -5 & x= -2
8. x= -7 & x= -3
9. x= -8 & x= -2
10. x= -3 & x= -3
11. x= -5 & x= -4
12. x= -2 & x= -2
13. x= -6 & x= -7
14. x= -6 & x= -3
15. x= -10 & x= -7
Step-by-step explanation:
hope this help :)
Please help I need the answers ASAP!
Answer:
Refer to the step-by-step
Step-by-step explanation:
Since ∠1 and ∠2 are alternate exterior angles, m∠2=108°
please help i need to bring my grades up
The line that has the constant of proportionality between y and x of 1 / 2 , is C. Line C.
How to find the constant of proportionality ?The ratio used to compare changes in one variable to those in another is known as the constant of proportionality. The dependent variable fluctuates more with the independent variable when the proportionality constant increases.
The formula for the constant of proportionality is:
= Value of y / Value of x
For Line A we have point ( 1, 7 ) so the constant of proportionality is:
= 7 / 1
= 7
For line B, we have point (2, 3 ) so the constant of proportionality is:
= 3 / 2
= 1 . 5
For line C, we have point ( 4, 2 ) so the constant of proportionality is:
= 2 / 4
= 1 / 2
Line C is the line with a constant of proportionality of 1 / 2.
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Is 512 a multiple of 8?
Yes, Number 512 represents it is a multiple of 8 is a true statement.
As given in the question,
Given number is equal to 8,
Given multiple is equal to 512 :
Multiple of any number is the representation of any number multiply by some integer.
When we multiply 8 by different integers we get its multiple as follow:
8, 16, 24, 32, 40, 48, 56, 64, 72,..... and so on.
When we multiply 64 by 8 we get 512.
Yes , the given statement is true.
Therefore, 512 represents a multiple of 8 which we get when we multiply 8 by 64 represents that the given statement is true.
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What is five point six as a fraction?
Answer: 28/5
Step-by-step explanation:
5.6/1x10/10= 56/10
56/10=28/5
Consider the scatter plot shown. Which shows the line of best fit? Explain your reasoning.
The line of the best fit of the scatter plot is line 2
How to determine the line of best fitFrom the question, we have the following parameters that can be used in our computation:
The graph
A good line of best fit would have equal number of points on either sides
On the graph, we can see that the lines 1 and 3 divide the points on the line unevenly
Where as, the line 2 divides the scatter points approximately evenly
Hence, the line of the best fit is line 2
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Patrick and Oscar both went bowling last weekend, but not together. Patrick went during open bowling time, paying $1 for shoe rental and $6 per hour. Oscar went on family night, when each hour was $1 and shoe rental was $11. As it turned out, they played for the same number of hours and spent the same amount. How many hours did each one bowl? How much did each one spend?
Answer:
The spent 2 hours and $13.-------------------------------
Patrick has spent:
6x + 1 for x hoursOscar has spent:
x + 11 for x hoursSince they both spent same amount of money, we have:
6x + 1 = x + 116x - x = 11 - 15x = 10x = 2They both spent 2 hours and $(2 + 11) = $13.
Does scientific notation have to be greater than 1?
The mantissa of scientific notation is between 1 and 10 in absolute value, or 1 ≤ |a| < 10. It can be 1, hence, it does not have to be greater than 1.
A scientific notation has the form:
a x 10ᵇ
Where b is an integer and is called exponent.
a is a real number between 1 and 10 (in absolute value), it includes 1 but not 10, or we can write a should satisfy 1 ≤ |a| < 10.
Usually, a is called mantissa.
Example:
2567 can be written in scientific notation as:
2567 = 2.567 x 10³
0.0045 can be written in scientific notation as:
0.0045 = 4.5 x 10⁻³
250 x 10² can be written in scientific notation as:
250 x 10² = 2.5 x 10⁴
-0.032 can be written in scientific notation as:
-0.032 = -3.2 x 10⁻²
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(Write each statement in function notation if you know what function notation is)
1. At 3 seconds, the toy rocket is higher than the drone.
2. At the start, the toy rocket is 25ft above the drone.
The statements that relate each function are given as follows:
1. At 3 seconds, the toy rocket is higher than the drone: f(3) > g(3).
2. At the start, the toy rocket is 25ft above the drone: f(0) - g(0) = 25.
What are the inequality symbols and what are the functions?The four inequality symbols, along with their meaning, are presented as follows:
> x: greater than x.< x: less than x.≥ x: at least x.≤ at most x.The functions for this problem are given as follows:
f(x): height of the toy rocket after x seconds.g(x): height of the drone after x seconds.At 3 seconds, we have that the toy rocket is higher than the drone, that is, f(3) is greater than g(3), hence the inequality is given as follows:
f(3) > g(3).
At the start, the heights are given as follows:
Toy rocket: f(0), as the start is equivalent to a time of 0 seconds.Drone: g(0).The difference is of 25 ft, hence the expression is given as follows:
f(0) - g(0) = 25.
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Help me with my homework pls
Hate to have to tell you this but we need to see the homework to be able to help
ABC and XYZ are similar. Find the missing side length.
Hello there!
∆ABC and ∆XYZ are simular so:
[tex] \displaystyle \frac{AB}{XY} = \frac{BC}{YZ} = \frac{AC}{XZ} \\ \\ \frac{2}{10} = \frac{5}{25} = \frac{AC}{20} \\ \\ \frac{1}{5} = \frac{1}{5} = \frac{AC}{20} \\ \\ \frac{AC}{20} = \frac{1}{5} \\ \\ AC = \frac{20 \times 1}{5} = 4[/tex]
Answer: 4
Answer:
4
Step-by-step explanation:
We have to find length of AC in ΔABC
Since ΔABC is similar to ΔXYZ, the corresponding sides of ΔABC to the corresponding sides of ΔXYZ should be of similar ratio
Equivalently stated
[tex]\dfrac{AB}{XY} = \dfrac{BC}{YZ} = \dfrac{AC}{XZ}[/tex]
Plugging in known values we get
[tex]\dfrac{AB}{XY} = \dfrac{2}{10} = \dfrac{1}{5}\\\\\dfrac{BC}{YZ} = \dfrac{5}{25} = \dfrac{1}{5}\\[/tex]
Thus we see that the length of each side of ΔABC is one-fifth the length of each corresponding side of ΔXYZ.
So
[tex]AC =\dfrac{1}{5} XZ = \dfrac{1}{5} \cdot 20 = 4[/tex]
Which polynomial should be added in 3x³ 2x² +3 to get the polynomial 3x² +4?(1) 3x3 + 5x2 +1 (2) 3x2 – 5x +1 (3) - 3x3 + 5x2 +1 (4) - 3x3 - 5x2 + 1Answer with explanation
The polynomial 3x³ 2x² +3 can be written as 3x³ + 2x² + 3. In order to get the polynomial 3x² + 4, we need to add a polynomial which is equal to -3x³ + 5x² + 1.
Therefore, the correct answer is (3) - 3x3 + 5x2 +1.
We can confirm this by performing the following calculation:
3x³ + 2x² + 3 + (-3x³ + 5x² + 1) = 3x² + 4
3x³ + (-3x³) = 0
2x² + 5x² = 7x²
3 + 1 = 4
Therefore, 0 + 7x² + 4 = 3x² + 4, which confirms that the correct answer is 3x3 + 5x2 +1.
3x3 + 5x2 +1 is the polynomial should be added in 3x³ 2x² +3 to get the polynomial 3x² +4.
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what is 14/10 converted
The given fraction converted to a decimal fraction is 1.4
The given fraction converted to a mixed fraction in its lowest terms is 1 2/5
Conversion of fractionsFrom the question, we are to convert the given fraction.
The given fraction is
14/10
Converting to a decimal fraction
14/10 = 1.4
Converting to a mixed fraction
14/10 = 1 4/10
Reducing the fraction
14/10 = 1 2/5
Hence,
The fraction converted is 1.4 and 1 2/5
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Please Help with these Questions
They are due tonight!
For 16-19, graph each equation or inequality.
16. 2y – 4x < 8
17. -4y > -x + 12
18. | x + 3 |= y
19. |2x – 6| + 2 = y
The graph for each equation and inequality is shown below.
What is Graph?The graph is simply a structured representation of the data. It aids in our comprehension of the data. The numerical information gathered through observation is referred to as data.
In a line graph, the information or data is represented as a series of markers, or dots, and is then connected to one another by a straight line.
Given:
a) 2y – 4x < 8
The graph area is shaded with red region.
b) -4y > -x + 12
The graph area is shaded with blue region.
c) | x + 3 |= y
The graph has the vertex at (-3, 0).
d) |2x – 6| + 2 = y
The graph has the vertex at (3, 2).
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which of the representations define a function? SELECT TWO THAT APPLY. Explain why you chose those answers, I will mark you brainliest.
What is the area? 8 mi 6 mi
Please help! Trig!!!!!!!l. Look at the image! And answer the question! Thank u!
Answer:
IF tan(theta) = -8/7 = opposite side/adjacent side, then that means that sin(theta) = -8/(sqr(64+49) = -8/sqr113 = about -0.7526
Step-by-step explanation:
the tangents are negative in the quadrant II or IV
and sines are negative in the quadrant III or IV
so i think that this angle is in quadrant IV to satisfy for the of the both requirements.
but angle 0 seems to try and mean something other than 0 degrees or 0 radians. so It probably just means theta, which is a 0 probably with a line through it
IF tan(theta) = -8/7 = opposite side/adjacent side, then sin(theta) = -8/(sqr(64+49) = -8/sqr113 = about -0.7526
I hope this helps
when f(x) = 6x² - 2x - 5, evaluate f(-2)
Answer:
23
Step-by-step explanation:
Given Information:
f(x) = 6x² - 2x - 5If we have to evaluate f(-2), we can consider that f(x) = f(-2) = 6x²- 2x - 5.
So, if f(x) = f(-2), then we have the following solution: x = -2.Now, we can substitute the solution into the quadratic equation and simplify it to its simplest possible form using the solution (x = -2).
⇒ f(-2) = 6x² - 2x - 5 ⇒ f(-2) = 6(-2)² - 2(-2) - 5 ⇒ f(-2) = 6(-2)(-2) - 2(-2) - 5 ⇒ f(-2) = 6(4) + 2(2) - 5 ⇒ f(-2) = 24 + 4 - 5 ⇒ f(-2) = 24 - 1 = 23Therefore, the evaluated form for f(-2) is 23.