Answers
Answer:
Angle ABC is equal to 130.4°
Step-by-step explanation:
When an angle is bisected, it is divided into two equal parts, so if BD bisects ∠ABC, then the two angles that add up to it, ∠ABD and ∠DBC, must be equivalent.
We know that ∠ABD equals 65.2, so that must mean that ∠DBC also equals 65.2.
Here is our equation:
∠ABC=∠ABD+∠DBC
After substituting, we will get
∠ABC=65.2+65.2=130.4
130.4° is the measure of ∠ABC.
Related Questions
Please help me I have had help with the 3 one but I can not reproduce it. Thank you to who helps me.
Answers
Note that:
\(\int f(x) \text{ } dx=-e^{-x/5}+C\)
Part (b)
\(\int^{1}_{0} f(x) \text{ } dx =-e^{-1/5}+e^{0} \approx 0.1813\)
Part (c)
\(\int^{\infty}_{0} f(x) \text{ } dx =1.0000\)
Part (e)
\(\int^{6}_{1} f(x) \text{ } dx \approx 0.5175\)
A geometric sequence is a sequence of numbers where the next term equals to
the previous term multiplied by a common factor (for example, (3, 6, 12, 24, ...)
is a geometric sequence with the first term ”3” and the common factor ”2”). If
the 5th term of a geometric sequence is 24 and the 7th term is 144, what is the
first term of the sequence?
(A) 2
(B) 3/2
(C) 2/3
(D) 1/3
(E) 1/4
Answers
Answer:
C
Step-by-step explanation:
Let the first term be a and the common ratio be r.
ATQ, ar^4=24 and ar^6=144, r=sqrt(6) and a=24/(sqrt(6))^2=24/36=2/3
I can’t seem to figure it out
Answers
The dimensions of the circles are as follows
1. Chord AB = 9
2. Chord FG = 6
3. Chord KM = 8
4. Arc length XY = 105 degrees
5. Arc length TU = 85 degrees
6. Arc length TU = 130 degrees
7. QS is the diameter because it bisects the chord and perpendicular to the chord
8. QS is not a diameter because it does not bisect the chord
9. QS is not a diameter because it is not perpendicular the chord
What is the relationship between chord and intercepted arcChords with matching measurements share congruence due to being equidistant from the circle's center.
Congruent radii stem from each chord midpoint, indicating two equivalent right triangles are created; therefore, their respective intercepted arcs also equal in degree measurement.
Therefore, if two chords possess uniform lengths, they will intercept equal degrees along the circle.
Learn more about chords at
https://brainly.com/question/4470346
#SPJ1
When students are admitted to a specific university, they are given a seven (7) digit identification number (NNNNNNN). If the first digit must be either a 0 or 1, how many identification numbers are possible?
Answers
Step-by-step explanation:
so, we have 1 position with 2 options (0 or 1).
and 6 positions with 10 options (0 to 9).
so, we have
2×10×10×10×10×10×10 = 2×10⁶ = 2,000,000
different identification numbers possible.
Plz help me well mark brainliest if correct!
Answers
Answer:
diameter it goes throught the circle and as end points across
PLEASE HELP
Two projectiles are shot vertically upward at the same instant.
Projectile A's height in feet, f(t), is represented in the table, where t is the seconds since the projectile was shot off
Projectile B's height at any time t is modeled by the function
h (t)=-16t^2 +96t
How do the times at which the projectiles begin their descents compare?
SEE PHOTO
Answers
Projectile B begins its descent 1 seconds before Projectile A does.
What is y-intercept?In Mathematics and Geometry, the y-intercept of any graph or table such as a quadratic equation or function, generally occurs at the point where the value of "x" is equal to zero (x = 0).
By critically observing the table shown in the image attached above, we can reasonably infer and logically deduce the following y-intercept of Projectile A:
y-intercept = (0, 44).
Maximum height = (4, 300).
When t = 0, the y-intercept of Projectile B can be calculated as follows;
h(t) = -16t² + 96t
h(0) = -16(0)² + 96(0)
h(0) = 0.
For the maximum height, we have:
h(t) = -16t² + 96t
h'(t) = -32t + 96
32t = 96
t = 96/32
t = 3
Difference in time = 4 - 3
Difference in time = 1 seconds.
Read more on time and maximum height here: https://brainly.com/question/30145152
#SPJ1
Complete the final step to
solve for x.
-2x = 70
X=
= [?]
Enter
![Complete the final step tosolve for x.-2x = 70X== [?]Enter](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/ojFe4Y5iIARTWGMZTpKjzBj86S6YSH8Z.png)
Answers
Answer:
The answer is for x is 35 because 5x2 is 10 you put 0 as the answer and 1 at The top of the 3 then you say 2x3 is 6 and then abb the 1 to the 6 and you get 7 so when you put all the answers together you get 70
dibuja una línea desde cada ecuación hasta la propiedad de igualdad que ilustra
Answers
By adding 3 to both sides of the equation (6+3)-3=9-3, this demonstrates the addition property of equality. This results in the equation being simplified to 6+3=9.
What does Property of Equality means?The properties of equality describe the relationship between two sides of an equation and state that the two sides remain equal even after the same arithmetic operation is performed on each side. a = a, according to the reflexive property of equality. For example, 5 = 5, because the number's value is equal to itself.
As per the addition property of equality, when we add the same number to both sides of an equation then the two sides remain equal. This can be written as, if a = b, then a + c = b + c.
Translated question "Draw a line from each equation to the property of equality it illustrates. (6+3)−3=9−3 Addition Property of Equality"
Read more about Property of Equality
brainly.com/question/26160231
#SPJ1
A single die is rolled twice. The 36 equally likely outcomes are shown to the right. Find the probability of getting two even numbers
Answers
Answer:
1/4
Step-by-step explanation:
The combinations where both numbers are even are:
2, 2
2, 4
2, 6
4, 2
4, 4
4, 6
6, 2
6, 4
6, 6
There's a total of 9 combinations. So the probability is 9/36 = 1/4.
Find the simplified product: 2 square root of5x^3 (-3 square root of 10x^2)
Answers
The simplified product of 2 square root of5x^3 (-3 square root of 10x^2) is -30x²√2x .
An pure {mathematics} expression in mathematics is Associate in Nursing expression that is created of variables and constants, together with algebraical operations (addition, subtraction, etc.). Expressions area unit created of terms.An expression obtained by a finite range of the elemental operations of pure mathematics upon symbols representing numbers.We have given a algebraic expression 2 square root of5x^3 (-3 square root of 10x^2) which can be represented by
2√5x³(-3√10x²) which on simplifying gives
2√5x³(-3√10x²) = -6√5x³ ×√10x²
= - 6√50x⁵
= - 6 × 5 x²√2x
= -30x²√2x
Hence on simplifying , we get -30x²√2x .
Learn more about algebraic expression here :
https://brainly.com/question/4344214
#SPJ1
The graph represents a relation where x represents the independent variable and y represents the dependent variable.
A coordinate plane with points at negative 4 comma 4, negative 2 comma 0, 0 comma negative 3, 3 comma 1, and 5 comma negative 2.
What is the domain of the relation?
{−4, −3, −2, 0, 1, 3, 4, 5}
{−4, −2, 0, 3, 5}
{−3, −2, 0, 1, 4}
{0, 3, 4, 5}
Answers
The domain of the relation of the graph representing a relation where x represents the independent variable and y represents the dependent variable is {−4, −2, 0, 3, 5}.
How to determine domain relation?The domain of a relation is the set of all possible input values (independent variable) for which the relation is defined.
Looking at the given points, the x-coordinates are -4, -2, 0, 3, and 5. So, the possible input values are -4, -2, 0, 3, and 5.
Therefore, the domain of the relation is {−4, −2, 0, 3, 5}.
Hence, the correct option is {−4, −2, 0, 3, 5}.
Find out more on domain here: https://brainly.com/question/26098895
#SPJ1
Write this decimal in numbers.
eight hundred seventy five and thirty four hundredths
Answers
Explanation: eight hundred = 800
seventy five = 75
So basically 875.
The and is obviously the decimal point and thirty four in number form 34.
So, 875.34.
Answer:
875.34
Step-by-step explanation:
Will mark brainliest if CORRECT
Answers
Answer:
For every 7 hair bands there will be 4 ribbons
7 hair bands →→ 4 ribbons
14 hair bands →→ 8 ribbons
21 hair bands →→ 12 ribbons
etc.
The New Jersey Division of Fish and Wildlife keeps track of the beaver population in the Raritan River. They tagged 42 beavers and released them. A week later, they captured 54 beavers, including 14 tagged beavers. What is a good estimate of the beaver population in the Raritan River? There are approximately beavers in the Raritan River.
Answers
Answer:ratio is 14:54 = 42:B. Beavers = 162
Step-by-step explanation:
The ratio demonstrates how often one number is multiplied by another.
The approximate number of beavers exists 162.
What is meant by ratio?The ratio demonstrates how often one number is multiplied by another. When the second number in the ordered pair, b, is not equal to 0, the ratio is expressed as a/b. An equation in which two ratios are made equal is known as a percentage.
The relationship or comparison between two numbers in the same unit to determine how much larger one number is than the other is known as a ratio.
The 42 beavers were tagged and released by the New Jersey Division of Fish and Wildlife, which monitors the beaver population in the Raritan River. After a week, they had captured 54 beavers, 14 of which were marked. There are 54 Beavers in all, and 14 Beavers have tags.
Let the ratio be 14 : 54.
As 42 tagged beavers were released.
simplifying the above equation, we get
14 × 3 : 54 × 3
= 42 : 162
Therefore, the approximate number of beavers exists 162.
To learn more about ratio, refer to:
brainly.com/question/27817533
#SPJ2
What is the value of x in this equatain x/2 - x = x/4 + 6
Answers
Answer:
x=-8
Step-by-step explanation:
consider the following sets of sample data: a: 3.97 , 3.47 , 3.99 , 4.30 , 3.16 , 3.07 , 4.24 , 2.94 , 3.56 , 3.43 , 3.06 , 3.34 , 4.35 , 3.57 b: $24,800 , $30,000 , $22,300 , $20,400 , $19,000 , $32,200 , $23,000 , $23,000 , $24,000 , $27,200 , $34,900 step 1 of 2 : for each of the above sets of sample data, calculate the coefficient of variation, cv. round to one decimal place.
Answers
The the coefficient of variation for set a is 15.7% and the coefficient of variation for set b is 22.3%.
Calculation of Coefficient of Variation:The formula for calculating the coefficient of variation is:
CV = (standard deviation / mean) x 100%
where standard deviation is a measure of the spread of the data around the mean. The CV expresses the standard deviation as a percentage of the mean.
To calculate the CV for set a, we first need to find the mean and standard deviation of the data set. The mean can be calculated by adding all the values and dividing by the number of values.
Mean = (3.97 + 3.47 + 3.99 + 4.30 + 3.16 + 3.07 + 4.24 + 2.94 + 3.56 + 3.43 + 3.06 + 3.34 + 4.35 + 3.57) / 14 = 3.65
The standard deviation can be calculated using a calculator or a spreadsheet software such as Microsoft Excel. For this set, the standard deviation is 0.574.
CV = (0.574 / 3.65) x 100% = 15.7%
To calculate the CV for set b, we need to first remove the dollar sign from each value and then find the mean and standard deviation.
Mean = ($24,800 + $30,000 + $22,300 + $20,400 + $19,000 + $32,200 + $23,000 + $23,000 + $24,000 + $27,200 + $34,900) / 11 = $25,727.27
The standard deviation can be calculated using a calculator or spreadsheet software. For this set, the standard deviation is $5,746.38.
CV = ($5,746.38 / $25,727.27) x 100% = 22.3%
To know more about variation here.
https://brainly.com/question/13977805
#SPJ4
Can someone help asap
Answers
Answer:
IM GEORGE FLOYD
Step-by-step explanation:
Answer:
i would be 22.5 or 22 minutes and 30 seconds becuase 45 times 30 is 1350 and if you do it by 60 because thats how many seconds are in a minute you get 22.5 or 22 mins and 30 seconds
brainliest?! thank you !
Step-by-step explanation:
Jammy invests $4,000 at a rate of 8% (simple interest). What is the amount of interest at the end of
the first year?
a. $320
b. $4320
c. $5000
d. $3200
Answers
not allowed
The table shows information about the masses of some dogs.
a) Work out the minimum number of dogs that could have a mass of more than
26 kg.
b) Work out the maximum number of dogs that could have a mass of more than
26 kg.
Mass, x (kg)
0≤x≤10
10≤x≤20
20≤x≤30
30 < 10
Frequency
8
11
5
Answers
Based on the frequency table given,
a) The minimum number of dogs that could have a mass of more than 26 kg is of: 5.
b) The maximum number of dogs that could have a mass of more than 26 kg is of: 16.
How is this so?The frequency table displays the number of times each value, or range of values, appears in the data-set.
where 11 weights are between 20 and 30, and all of the dogs in the interval 20 × 30 have weights less than 26 kg, the lowest number of dogs that might have a mass more than 26 kg is 5.
This implies that only the dogs in the period 30 x 40 would have a mass greater than 26 kg.
Learn more about Frequency Table:
https://brainly.com/question/16148316
#SPJ1
Learn more about maximum values;
https://brainly.com/question/30236354
#SPJ1
Find the value of X
Answers
Answer:
x=8
Step-by-step explanation:
I am pretty sure that x equals 8 because as you can see, it wouldn't make any sense if the answer of x were to equal 7. 15-7=8 which contributes onto making the most sense!
What is the greatest common factor (GCF) of 81 and 36?
A.
324
B.
3
C.
9
D.
81
Answers
Answer:
C. 9
Step-by-step explanation:
Since the greatest factor that both fits in 81 and 36 is 9, the GCF is 9.
Which expression can be used to convert 100 USD to Japanese yen?
Answers
Answer:
The expression that would be most useful in converting $100 to Japanese Yen is 100 ( 99.30487 Yen / 1)
You can use direct proportion to solve this:
If $1 is to Y99.30487 then what will $100 be equal to:
1 : 99.30487 Yen
100 : x
Cross multiply to get:
1x = 99.30487 Yen x 100
x = (99.30487 Yen x 100) / 1
Which can be written as:
= 100 ( 99.30487 Yen / 1)
In conclusion, the most useful expression to convert $100 to Yen is 100 (99.30487 Yen / 1)
Step-by-step explanation:
(+8) + (-2)
I need to understand this
Answers
Answer:
6
Step-by-step explanation:
(+8) + (-2): Okay so for this question you can just cancel the + in the middle and just do 8-2 which gives you 6, however this doesnt work for all questions so be careful
The graph below shows the height an elevator travels, y, in x seconds:
A graph is shown with x axis title as Time in seconds. The title on the y-axis is Height of Elevator Above Ground in feet. The values on the x-axis are from 0 to 5 in increments of 1 for each grid line. The values on the y-axis are from 0 to 125 in increments of 25 for each grid line. A line is shown connecting points on ordered pair 1, 25 and 2, 50 and 3, 75 and 4, 100. The title of the graph is Rate of Ascent.
What is the rate of change for the relationship represented in the graph?
50
25
fraction 1 over 25
fraction 1 over 50
Answers
9514 1404 393
Answer:
25 (ft/s)
Step-by-step explanation:
The "rate of change" is taken to mean the "rise" divided by the "run". Here, adjacent points differ in their y-value by 25 ft and their x-value by 1 second.
The rate of change is ...
rise/run = (25 ft)/(1 second) = 25 ft/second
Usually, we're just interested in the numerical value: 25.
_____
Additional comment
The graph is mis-labeled. It is not showing "rate of ascent." It is showing height as a function of time. The "rate of ascent" is the slope of the line on the graph, not its value.
assume that y varies directly as x. If y= -15 when x=5, what is the constant of variation?
Answers
Answer:
k = -3
Step-by-step explanation:
Given
Variation: Direct
y = -15 when x = 5
Required
Find the constant of variation
A direct variation is represented as:
y = kx
Where
k = constant of variation
Substitute values for x and y
-15 = k * 5
Multiply both sides by ⅕
⅕ * -15 = k * ⅕ * 5
-3 = k * 1
-3 = k
k = -3
Hence, the constant of variation is -3
Suppose you want to buy a great pair of designer jeans that were originally priced at $65, but are now on sale for 10% off. When you buy the jeans, you need to pay sales tax of 10% on the sales price. How much will you have to pay for the jeans? (Round your answer to two decimal places.)
Answers
Answer:
Step-by-step explanation:
I rlly need this rn, pls show work :((
Answers
Answer:
7.)
8.)
Step-by-step explanation:
There was a population of 160 beavers in a National Park. After a year, the population increased by 45%. How many beavers are there in the park now?
Answers
Answer:
232
Step-by-step explanation:
→ Find the percentage multipier
( 100 + 45 )÷ 100 = 1.45
→ Multiply this by the original amount
1.45 × 160 = 232
Karin has 13 coins (2 quarters, 6 dimes, 4 nickels, and 1 penny) in a piggy bank. She turns the bank
upside down and shakes the bank until a coin falls out, puts it aside, and the shakes until another coin
falls out.
What is the probability that the first coin is a nickel and the second coin is a quarter?
Select one:
OOO O
2 63 23
39
01/3
118
Answers
Using it's concept, the probability that the first coin is a nickel and the second coin is a quarter is: 2/39.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
Hence:
For the first coin, out of 13 coins, 4 are nickels, hence the probability is 4/13.For the second coin, considering that a nickel was taken first, 2 out of 12 coins will be quarters, hence the probability is 2/12 = 1/6.Then the probability for both coins is:
p = 4/13 x 1/6 = 4/78 = 2/39
More can be learned about probabilities at https://brainly.com/question/14398287
#SPJ1
Which of the following best describes the equation below? y=2/5x-12 A. neither linear nor nonlinear B. linear C. both linear and nonlinear D. nonlinear
Answers
Answer:
B. Linear
Step-by-step explanation: