28 In the diagram below of circle O, secant ABC and tangent AD are drawn.
If CA=12.5 and CB=4.5 determine and state the length of DA
Answers
The length of the side DA from secant theorem is; 10
How to find the length of a Tangent?
From the cyclic diagram attached;
Since CA = 12.5 and CB = 4.5, it means that;
BA = 12.5 - 4.5 = 8
From the secant theorem, we know that;
The product of the secant and its exterior segment is equal to the square of the tangent segment.
Thus;
Length of DA = √(8 * 12.5)
Length of DA = 10
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Related Questions
I have no idea what to do for these 2 questions, somebody please help
Answers
Answer:
Step-by-step explanation:
2.2:
[tex]3^2(6)(3.14) = 169.56 in^3[/tex]
3.3
[tex]9^2(5)(3.14) = 1287.4 un^3[/tex]
If a circular playground has an area of 144 m2. What is the diameter of the playground?
Answers
Answer:
The diameter is about 13.55m
Step-by-step explanation:
Calculator
convert 0.29 to a percentage
Answers
Answer:
0.29 as a percentage is the same as 29%
Step-by-step explanation:
it’s going to be 29% because you just pretend that there isn’t a 0. In front of the 29 and you have 29%.
The decimal number 0.29 is equivalent to 29% when expressed as a percentage.
Given decimal is 0.29.
To convert a decimal number to a percentage, multiply it by 100 and add the percentage symbol (%).
In this case, to convert 0.29 to a percentage
= 0.29 x 100
= 29
Therefore, 0.29 is equivalent to 29% as a percentage.
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I'll mark as Brainliest, Please answer ASAP, Ihave MCAS tomorrow. How could this be true?? Please Explain.
Answers
Answer:
See below
Step-by-step explanation:
The number of loaves of bread remaining can only go as low as ZERO (you can't have negative loaves) ...and can only go as high as when h = 0
so 0 = 42-3.5 h
3.5 h = 42
h = 12 and min is h = 0 ( when there are 42 loaves to start)
So:
0≤ h ≤ 12
A flower shop charged $124.44 for 3 bouquets of flowers. This price included a $7.50 service and delivery fee.
What was the cost of one bouquet?
Answers
A car traveled 200 miles on 8 1/2 gallons of gas. How much gas will it take to drive 1 mile?
Answers
Answer:
23 1/2 gallons of gas to travel one mile
Step-by-step explanation:
Given the car can travel 200 miles on 8 1/2 gallons of gas, we divide 200 by 8 1/2.
8 1/2 = 8.50 = 8.5
200/8.5 = 23.5 = 23.52 = 23 1/2
Answer:
17/400 gallons or 0.0425 gallons
Step-by-step explanation:
Take the ratio of the scale and the actual values :
200 miles : 8 1/2 gallons = 1 mile : x gallons200/(8.5) = 1/x400/17 = 1/xx = 17/400 gallons or 0.0425 gallonsWhich expression are equivalent to the one below? 4^3 * 4^x
Answers
Step-by-step explanation:
[tex] = {4}^{3} \times {4}^{x} [/tex]
[tex] = {4}^{3 + x} [/tex]
[tex] = {4}^{x + 3} [/tex]
What is the area of adef with vertices d(-1,-5), e(4.-5),
and f(4,7)?
Answers
Answer:
Step-by-step explanation:
30 square unit is the area of the triangle DEF.
What are the properties of Triangle?The properties of the triangle are:
The sum of all the angles of a triangle (of all types) is equal to 180°. The sum of the length of the two sides of a triangle is greater than the length of the third side. In the same way, the difference between the two sides of a triangle is less than the length of the third side.We can use the coordinates of the three vertices of the triangle to find the length of its base and height, and then use the formula for the area of a triangle.
The base of the triangle is the line segment from point E to point F, which has a length:
|EF| = √[(4-4)^2 + (7-(-5))^2] = √(0^2 + 12^2) = 12
The height of the triangle is the perpendicular distance from point D to the line containing the base, which is the horizontal line y = -5.
Therefore, the height of the triangle is the vertical distance from point D to the line y = -5, which is 5 units.
The area of the triangle is then:
Area = (1/2) x (base) x (height)
= (1/2) x 12 x 5
= 30 square units.
Therefore, the area of triangle DEF is 30 square units.
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HELP ASAP
Given the graph below, solve for the equation of the circle. Show your work and explain the steps you used to solve.
Answers
Answer:
(x + 3)^2 + (y - 3)^2 = 5^2
Step-by-step explanation:
They're not really much to show work. Looking at the graph we need to find the origin which is (h ,k), and the radius.
(h , k) = (-3 , 3)
The radius is r = 5 because counting it from origin to the edge.
Plug that into the formula equation: (x - h)^2 + (y - k)^2 = r^2
(x - (-3))^2 + (y - 3)^2 = 5^2
(x + 3)^2 + (y - 3)^2 = 5^2
14.
If we flip a coin eight times, how many possible sequences of eight coin faces (i.e., heads or tails) can we have?
1,024
512
256
2,048
Answers
Using the Fundamental Counting Theorem, the number of possible sequences of eight coin faces is of 256.
What is the Fundamental Counting Theorem?It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:
[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]
In this problem, there are 8 events, each with 2 possible outcomes, hence:
[tex]n_1 = n_2 = \cdots = n_8 = 2[/tex]
Hence, the total number of sequences is given by:
[tex]N = 2^8 = 256[/tex].
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Answer:
C) 256
Step-by-step explanation:
Essentially, each coin flip is a decision, and heads or tails is the choice offered. Therefore, we calculate that there are 28 possible sequences, or 256.
Took the quiz ;)
A doctoral student wants to determine the relationship between steps per minute and the time it takes to walk 100 feet in
minutes. Thirty trials are completed and the correlation coefficient between steps per minute and time in minutes is determined
to be -0.543. Therefore, fewer steps per minute were related to longer time spans. How is the correlation affected if the units for
time are changed from minutes to seconds? (3 points)
The correlation and time measurement would change proportionally to one another.
The correlation would increase because changing the units for time would result in an increase in time values.
It is impossible to determine the amount of change experienced by the correlation.
The correlation would decrease because only the units for one of the variables changed.
The correlation would stay the same because the change in units for time would have no effect on it.
Answers
Using correlation coefficients, it is found that that the correct option is given as follows:
The correlation would stay the same because the change in units for time would have no effect on it.
What is a correlation coefficient?It is an index that measures correlation between two variables, assuming values between -1 and 1.If it is positive, the relation is positive, that is, they are direct proportional. If it is negative, they are inverse proportional.If the absolute value of the correlation coefficient is greater than 0.6, the relationship is strong.The correlation coefficient does not have units, hence if the units of the measures is changed, the coefficient remains constant, which means that the correct option is given by:
The correlation would stay the same because the change in units for time would have no effect on it.
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Find the slope of the line that goes through the given points! A(2,8) and B(4,6)
(WHOEVER ANSWERS FIRST AND CORRECTLY WILL BE BRAINLIEST!!!)
Answers
[tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}[/tex]
Find the slope of the line that goes through (2, 8) and (4, 6)
[tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}[/tex]
The slope formula will help us find the slope, Here it is:-
[tex]\Large\text{$\displaystyle\frac{y_2-y_1}{x_2-x_1}$}[/tex]
Now, replace y2 with 6, y1 with 8, x2 with 4, and x1 with 2:-
[tex]\Large\text{$\displaystyle\frac{6-8}{4-2}$}[/tex]
Simplifying,
[tex]\Large\text{$\displaystyle\frac{-2}{2}$}[/tex]
Simplifying further,
[tex]\hookrightarrow\underline{\boxed{\sf{Slope=-1}}}[/tex]
Good luck with your studies.#TogetherWeGoFar
[tex]\rule{300}{1}[/tex]
Answer:
[tex]\sf \boxed{-1} \ \ is \ the \ slope[/tex]
Explanation:
[tex]\sf slope: \dfrac{y_2 - y_1}{x_2- x_1} \ \ where \ (x_1 , \ y_1), ( x_2 , \ y_2) \ are \ points[/tex]
Here given points: A(2,8) and B(4,6)
Find slope (m):
[tex]\sf \rightarrow \dfrac{6-8}{4-2}[/tex]
simplify
[tex]\sf \rightarrow -1[/tex]
AdditionalTo find equation:
[tex]\sf y-y_1 = m(x-x_1)[/tex]
[tex]\rightarrow y-8 = -1(x-2)[/tex]
[tex]\rightarrow y = -x+2+8[/tex]
[tex]\rightarrow y = -x+10[/tex]
Angle Side Relationship 1/5
Will mark brainlist to whoever answers first
Answers
Answer:
m<A > m<B > m<C
Step-by-step explanation:
In triangles, the measure of angles is proportional with the side length's they see,
The angle with the biggest the biggest measure sees the biggest side length
in triangle ABC the side lengths are given as
BC = 14, CA = 13 and AB = 5
from this, we can conclude:
m<A > m<B > m<C
round 1.36 to the nearest integer
Answers
Answer: Heyaa! ~
1.36 rounded to the nearest integer is 1!
Step-by-step explanation:
Note that the whole number place is one move to the left of the decimal point (if it exists). To round to the nearest whole number (or nearest integer), we use the tenths place to determine whether the whole numbers place rounds up or stays the same.
Step 1: Locate and underline the whole numbers place (1) then look at the digit to the right (3):
Step 2: The digit to the right (3) is 4 or below. So, we replace it by a 0 (zero) to get 1 as the answer.
In short: 1.36 rounded to the nearest whole number is 1.
Hopefully this helps you! ~
The principal sent a message to 25 students to ask them to
help pick up litter after school. Only 8 of them showed up.
What percentage of the students came to pick up litter?
Answers
Answer: 32%
Step-by-step explanation:
100 / 25= 4
4 x 8 = 32%
Help ASAP NEED ANSWER NOW
Answers
Answer:
A.
Step-by-step explanation:
bc, it's high preasured. meaning its going 2b snowy.
Kara wants to buy a game that is on sale. the original price of the game is p, but it is on sale for 30% off the original price. she uses the expression p(i - 0.3) to model the price. which expressions are equivalent to kara's expression? select all correct answers and the answers are
p - 0.3
1 - 0.3p
0.7p
p - 0.3p
1.3p
Answers
The expressions equivalent to kara's expression are 0.7p and p-0.3p
How to find discount of original price?Original price = pDiscount = 30%Discount price expression = p(1 - 0.3)
= p - 0.3p
= 0.7p
Check for equivalent expression
p - 0.3
Not equivalent
1 - 0.3p
Not equivalent
0.7p
Equivalent
p - 0.3p
Equivalent
1.3p
Not equivalent
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3B What is the value of account after 10 years,
if interest is paid at 3.7%, if no other deposits
or withdrawals are made?
Initial deposit $6500, then compounded annually
Answers
Answer:
$9,347.62
Step-by-step explanation:
Compound Interest Formula
[tex]\large \text{$ \sf A=P(1+\frac{r}{n})^{nt} $}[/tex]
where:
A = final amountP = principal amountr = interest rate (in decimal form)n = number of times interest applied per time periodt = number of time periods elapsedGiven:
P = $6,500r = 3.7% = 0.037n = 1t = 10 yearsSubstituting the given values into the formula and solving for A:
[tex]\implies \sf A=6500\left(1+\frac{0.037}{1}\right)^{10 \times 1}[/tex]
[tex]\implies \sf A=6500\left(1.037\right)^{10}[/tex]
[tex]\implies \sf A=9347.617232[/tex]
Therefore, the value of account after 10 years is $9,347.62
Let's see
[tex]\\ \rm\Rrightarrow A=P(1+r)^t[/tex]
P=6500r=3.7%t=10yearsSo
A:-
[tex]\\ \rm\Rrightarrow 6500(1+0.037)^{10}[/tex]
[tex]\\ \rm\Rrightarrow 6500(1.037)^{10}[/tex]
[tex]\\ \rm\Rrightarrow \$ 9347.6[/tex]
Gordon was thinking of a number. Gordon doubles it, then adds 20 to get an answer of 66.3. What was the original number?
Answers
Answer:
23.5
Step-by-step explanation:
let's take the number as X
2X+20=66.3
2X=66.3-20
X=23.15
23.15
23.15 X 2 = 46.3
46.3 + 20 = 66.3
Solve for x in the equation below.
Round your answer to the nearest hundredth.
Do not round any intermediate computations.
x-6 = 7
e
Answers
Answer:
x=13
Step-by-step explanation:
What is the area of this figure
Answers
Answer:
105 units²
Step-by-step explanation:
Area of triangle = ½bh
b = 11 + 4
b = 15
A = 2(½15(7))
2 and ½ cancel
A = 15(7)
A = 105 units²
the distance midpoint between A (-6, 8) & B (6, -2)
Answers
Answer:
I think 2
Step-by-step explanation:
6-2is 4 8-6 2 both have common 6 and 2 multiple of 6is 2
Find the remainder of (h4+ h² - 2) /(h+3).
Answers
Answer:
remainder is 88
Step-by-step explanation:
if
[tex]h = 3[/tex]
[tex]f( - 3) = { ( - 3)}^{4} + { (- 3)}^{2} - 2[/tex]
[tex]f( - 3) = 88[/tex]
which is the remainder
[tex]\huge\color{yellow}\underline \colorbox{violet} {\color{red}{QUESTION}}[/tex]
Direction:Write TRUE if the statement is true and FALSE if not.
1.Non standard units cannot be used to measure volume.
2.To find the volume of rectangular prism multiply the length width and height.
3.When the non-standard unit used in small,more units are needed to fill a container.When the non-standard unit used is bigger.Few units are needed to fill the container.
correct answer=brainles
nice answer=rate 5 star
explanation=heart
incorrect=report
no explanation=report
Answers
Answer:
FALSETRUETRUEStep-by-step explanation:
1.
Non-standard units can be used to measure volumeExamples : m³, in³, cm³, mm³, L2.
The volume of a rectangular prism can be found by multiplying the length, width, and heightV = lwh3.
If there are smaller units, then naturally more of the units will be usedIf there are larger units, then less of the units will be usedAnyone please help meಥ‿ಥ
Answers
Answer:
Mean: The sum of all data values divided by the total number of data values.
Median: The middle value when all data values are placed in order of size. If there is an even number of data values, the median is the mean of the middle two values.
Mode: The most frequently occurring data value.
-------------------------------------------------------------------------------------------------
Question 3
[tex]\textsf{Mean}=\dfrac{69 + 70 + 71 + 73 + 74 + 75 + 76 + 76 + 76 + 86}{10}=74.6[/tex]
Ordered data values: 69, 70, 71, 73, 74, 75, 76, 76, 76, 86
Median = (74 + 75) / 2 = 74.5
Mode = 76
-------------------------------------------------------------------------------------------------
Question 4
[tex]\textsf{Mean}=\dfrac{3 + 5 + 5 + 5 + 6 + 6 + 7 + 8 + 8}{9}=5.9\: \sf (nearest \:tenth)[/tex]
Ordered data values: 3, 5, 5, 5, 6, 6, 7, 8, 8
Median = 6
Mode = 5
-------------------------------------------------------------------------------------------------
Question 5
[tex]\begin{aligned}\textsf{Mean} & =\dfrac{11 + 12 + 12 + 13 + 13 + 14 + 14 + 15 + 16 + 16 + 17 + 18 + 19 + 20 + 23}{15}\\ & =15.5 \: \sf (nearest\:tenth)\end{aligned}[/tex]
Ordered data values: 11, 12, 12, 13, 13, 14, 14, 15, 16, 16, 17, 18, 19, 20, 23
Median = 15
Mode = 12, 13, 14, 16
Answer:
see explanation
Step-by-step explanation:
the mean is calculated as
mean = [tex]\frac{sum}{count}[/tex]
the median is the middle value of a set of data. If there is no exact middle value then it is the average of the values on either side of the middle.
the mode is the value that occurs most often in the data set
A data set can have more than 1 mode
------------------------------------------------------------------------
(3)
(a)
mean = [tex]\frac{74+73+75+76+71+69+70+76+76+86}{10}[/tex] = [tex]\frac{746}{10}[/tex] = 74.6
(b)
Arrange the data in ascending order
69 70 71 73 74 75 76 76 76 86
↑ middle
median = (74 + 75) ÷ 2 = 149 ÷ 2 = 74.5
(c)
mode = 76
(4)
(a)
mean = [tex]\frac{6+8+8+5+6+7+5+3+5}{9}[/tex] = [tex]\frac{53}{9}[/tex] ≈ 5.9 ( to 1 dec. place )
(b)
3 5 5 5 6 6 7 8 8
↑ middle
median = 6
(c)
mode = 5
(5)
(a)
mean = [tex]\frac{12+13+18+23+14+17+14+16+13+16+15+19+11+20+12}{15}[/tex] = [tex]\frac{233}{15}[/tex] ≈ 15.5 ( to 1 dp )
(b)
11 12 12 13 13 14 14 15 16 16 17 18 19 20 23
↑ middle
median = 15
(c)
the mode is multimodal
modes are 12, 13, 14, 16
The graph of f(x) = x2 was transformed to create the graph of g(x) = (2x)2 – 4. Which of these describes the transformation from the graph of f to the graph of g?
Answers
Answer:
A. Horizontal Stretch and vertical shift down 4
Step-by-step explanation:
When multiplying by a number greater than one, its a stretch. When it is less than one it is a compression.
2 is greater than 1 so its a horizontal stretch.
When there is a number outside of the () then that number determines how high or how low you go depending on the sign.
Our number is -4 so we go down 4.
Pls help Martin says that 13+16=29
1
3
+
1
6
=
2
9
.
Use the drop-down menus to explain why Martin is incorrect.
Answers
Answer:
[tex] \frac{2}{9} \: is \: less \: than \: \frac{1}{3} [/tex]
and
[tex] \frac{1}{3} + \frac{1}{6} \: must \: be \: more \: than \: \frac{1}{3} [/tex]
GR. 9 QUESTION 1/ VRAAG 1: Simplify the following: / Vereenvoudig die volgende: 1.1 -8xy-6xz + 10xy + 9xz - 4yx
1.2 m² - 4m - 1 + m² - 8m + 5-6m² +3m - 1
Answers
Answer:
Below in bold.
Step-by-step explanation:
-8xy-6xz + 10xy + 9xz - 4yx (Note 4yx = 4xy)
Bringing like terms together we have:
-8xy + 10xy - 4xy - 6xz + 9xz
= -2xy + 3xz.
m² - 4m - 1 + m² - 8m + 5-6m² +3m - 1
= m² + m² - 6m² - 4m - 8m + 3m - 1 + 5 - 1
= -4m² - 9m + 3.
what is the area, in square centimeters, of the isosceles trapezoid below?
Answers
Answer:
65.28
Step-by-step explanation:
1/2 × (15.2+5.2) × 6.4 = 65.28
hope this helps ;)
A cylinder has a circumference of 16pi inches and a height of 20 inches. what is the surface area of a cylinder in square inches?
Answers
Answer:
1407.43
Step-by-step explanation:
The eqaution for surface area of a cylinder is 2πr+2π[tex]r^{2}[/tex]'
but you already got the circumference so you work backwards
16pi/pi=16
16/2=8
r=8
h=20
So you plug it into the eqaution
2π8*20+2π8^2=1407.43
