In the given figure alongside,prove that
Triangle ABC is simalar to Triangle SRT
Find the length of AC
Answers
Answer:
let's use Pythagoras theorem,
h²=b²+l²
so,
ad²=ac²+dc²
6²=ac²+3²
36-9=ac²=27
√27 can be written as 3√3,
hence ac= 3√3
Related Questions
I need help again plz
Answers
6.231 has a 1 after the 3, meaning you keep the 3 instead of rounding it up to 6.24
Given that f(x) = x^2 - 6x + 8 and g(x) = x – 2, find (f.g)(x) and express
the result in standard form.
Answers
Answer:
(F.g(x))=x^2-10x+24
Step-by-step explanation:
when when we have a composition function, like f of g of x, we put the second function g of x in place of every x in f of x,
so f(x)=x^2-6x+8
and we will put x-2 which is g(x) in the place of every x
so f(g(x))=(x-2)^2-6(x-2)+8
so we ca n simplify that into f(g(x))=x^2-4x+4-6x+12+8
which simplifies to f(g(x))=x^2-10x+24
These marbles are placed in a bag and two
of them are randomly drawn.
What is the probability of drawing two pink
marbles if the first one is NOT placed back
into
the bag before the second draw?
Give your answer as a rational number, reduced to
simplest terms.
Hint: Multiply the probability of the 1st Event by the
probability of the 2nd Event to get your answer.
Answers
Answer:
[tex]Pr = \frac{1}{45}[/tex]
Step-by-step explanation:
Given
[tex]Black =5[/tex]
[tex]Pink = 2[/tex]
[tex]Blue = 3[/tex]
Required
[tex]P(Pink\ and\ Pink)[/tex]
This is calculated as:
[tex]Pr = P(Pink) * P(Pink)[/tex]
Because it is a selection without replacement, the probability is:
[tex]Pr = \frac{n(Pink)}{Total} * \frac{n(Pink) - 1}{Total - 1}[/tex]
[tex]Pr = \frac{2}{10} * \frac{2 - 1}{10 - 1}[/tex]
[tex]Pr = \frac{2}{10} * \frac{1}{9}[/tex]
[tex]Pr = \frac{1}{5} * \frac{1}{9}[/tex]
[tex]Pr = \frac{1}{45}[/tex]
Help is appreciated:)
Answers
Answer:
252 in^3
Step-by-step explanation:
7*3*12 = 252
252*.04 = $10.08
Name the marked angle in 2 different ways.
Answers
Answer:
angle GIH
angle HIG
this is the answer
The composition D
0.
(x, y) is applied
0
3(x,°D
to ARST to create the image of AR'S'T", which is not
shown.
Answers
Answer:
S'' = ([tex]-\frac{3}{2} , \frac{9}{2}[/tex] )
Step-by-step explanation:
coordinate of x is (-2 , 6)
scale factor to transform the triangle is 3/2
so to find S' use this scale factor
formula :
(x , y) = (kx , ky) (k means scale factor)
S(-2 , 6) = S'(3/2 *-2 , 3/2 * 6)
S'(-3 , 9)
now to find S'' again use the same formula
(x , y ) = (kx , ky)
this time take S' and to find S'' use 1/2 as scale factor
S'(-3 , 9) = S''(1/2 *-3 , 1/2 * 9)
S''(-3/2 , 9/2)
The transformation is S'' = (-3/2, 9/2). The correct option is A.
Scale factor refers to the ratio of corresponding lengths or measurements between two similar objects or figures. It represents how much one object has been scaled or enlarged/reduced compared to another object.
The scale factor is determined by dividing the length or measurement of a corresponding side or dimension of one object by the length or measurement of the corresponding side or dimension of the other object. It provides a quantitative relationship between the two objects.
The coordinate of x is (-2, 6). The scale factor to transform the triangle is 3/2 so to find S' use this scale factor.
formula :
(x , y) = (kx, ky) (k means scale factor)
S(-2 , 6) = S'(3/2 x -2 , 3/2 x 6)
S'(-3 , 9)
Now to find S'' again use the same formula:
(x , y ) = (kx, ky)
this time take S' and to find S'' use 1/2 as the scale factor.
S'(-3 , 9) = S''(1/2 x -3 , 1/2 x 9)
S''(-3/2 , 9/2)
To know more about scale factors follow
https://brainly.com/question/26541943
#SPJ2
Adam tabulated the values for the average speeds on each day of his road trip as 60.5, 63.2, 54.7, 51.6, 72.3, 70.7, 67.2, and 65.4 mph. He wishes to construct a 98% confidence interval. What value of t* should Adam use to construct the confidence interval? Answer choices are rounded to the thousandths place
Answers
Answer:
The answer is "2.998".
Step-by-step explanation:
In the given question, the answer is "2.998" because the critical region value will be used to divide the value into two-part that is 0.01, in which each of the value that will have to see the values of the degree of freedom that is 7, in column 0.01, that is equal to 2.998.
Answer:
2.998
Step-by-step explanation:
Got it right on the test.
What is the ans of this?
Answers
Step-by-step explanation:
everything can be found in the picture
Water is being drained at a constant rate from a tank.
It contains 1000 gallons of water.
After 10 minutes there are 940 gallons of water remaining in the tank.
How much water remained in the tank after 5 minutes?
20 minutes?
30 minutes?
27 minutes?
X minutes?
What is the rate of flow of the water from the tank?
Organize your work to help you answer the questions,
Answers
Answer:
Step-by-step explanation:
1000 gallons - 940 = 60 then divide by the time which gets us 60/10=6
Now we can use this answer to help find out the amount remaining in the tank.
5 minutes = 5x6=30; 1000-30= 970 gallons
20 minutes= 20x6=120; 1000-120= 880 gallons
30 minutes=30x6=180; 1000-180= 820 gallons
27 minutes=27x6=162; 1000-162= 838 gallons
X minutes = 1000-6x
Rate of flow is 6 gallons per minute.
Hope this helps!
A rectangle has a perimeter of `52` cm. Its width is `9` cm.
what is the length of the rectangle?
Answers
Perimeter equation is L+L+W+W= Perimeter
9+9+W+W=Perimeter
I took 18 and subtracted it from 52 and got 34.
Since we are calculating one side length I divided by 2 which got me to 17.
Which theorem proves that the triangles are congruent?
A. AAS
B. SSS
C. SAS
D. ASA
Answers
Answer:
D. ASA
Step-by-step explanation:
ASA (Angle-Side-Angle) is a proof of congruence when two triangles share two angles and the side between them.
Answer:
However, note further that the congruent sides are not included sides of the two relevant angles, in which case it won't be ASA but AAS.
Therefore, the two angles are congruent by the AAS Congruence Theorem and the correct answer is C.
Step-by-step explanation:
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Find the product of zeroes of the quadratic polynomial
[tex] {2x}^{2} – 13x + 15[/tex]
Answers
Step-by-step explanation:
[tex] consider \: \: {2x}^{2} - 13x + 15 = 0 \\ (2x - 3)(x - 5) = 0 \\ 2x - 3 = 0 \: \: \: \: \: or \: \: \: \: \: x - 5 = 0 \\ x = 1 \frac{1}{2} \: \: \: \: \: or \: \: \: \: \: x = 5 \\ \\ \\ hence \: the \: products \: of \: zero \: are \: x = 1 \frac{1}{2} \: and \: x = 5[/tex]
Determine the location and values of the absolute maximum and absolute minimum of given function: f(x)= ( -x+2)^4, Where 0<=x<=3
Answers
Answer:
The absolute maximum and the absolute minimum are (0, 16) and (2, 0).
Step-by-step explanation:
First, we obtain the first and second derivatives of the function by chain rule and derivative for a power function, that is:
First derivative
[tex]f'(x) = -4\cdot (-x+2)^{3}[/tex]
Second derivative
[tex]f''(x) = 12\cdot (-x + 2)^{2}[/tex]
Then, we proceed to do the First and Second Derivative Tests:
First Derivative Test
[tex]-4\cdot (-x+2)^{3} = 0[/tex]
[tex]-x + 2 = 0[/tex]
[tex]x = 2[/tex]
Second Derivative Test
[tex]f''(2) = 12\cdot (-2+2)^{2}[/tex]
[tex]f''(2) = 0[/tex]
The Second Derivative Test is unable to determine the nature of the critical values.
Then, we plot the function with the help of a graphing tool. The absolute maximum and the absolute minimum are (0, 16) and (2, 0).
he tables represent two linear functions in a system.
A 2 column table with 5 rows. The first column, x, has the entries, negative 6, negative 3, 0, 3. The second column, y, has the entries, negative 22, negative 10, 2, 14. A 2 column table with 5 rows. The first column, x, has the entries, negative 6, negative 3, 0, 3. The second column, y, has the entries, negative 30, negative 21, negative 12, negative 3.
What is the solution to this system?
(negative StartFraction 13 over 3 EndFraction, negative 25)
(negative StartFraction 14 over 3 EndFraction, negative 54)
(–13, –50)
(–14, –54)
Answers
Answer:
8-22 is the answer ok thanks
On a coordinate plane, a curved line begins at point (1, 2) and ends at (5, 4).
What is the range of the function on the graph?
all real numbers
all real numbers greater than or equal to 0
all real numbers greater than or equal to 1
all real numbers greater than or equal to 2
Answers
Step-by-step explanation:
there must be something missing here (I guess, the graph).
because just by looking at the 2 points, all 4 answer options could be wrong, or all 4 could be right.
just basing on the point coordinates I see the functional values (y) go from 2 to 4.
but we have no clue about what that curved function does in between these 2 points.
please provide the full information.
weight of three boys is 25 kg 28 kg and 31 kg respectively. Find the average weight of the boys.
a. 25kg
b. 27kg
c. 28kg
d. 26kg
please hurry!!
Answers
Answer:
C)
Step-by-step explanation:
Find the total sum
25+28= 53
53+31=84
Fimd the average by dividing by 3
84/3= 28
Hence, the answer is c
Answer:
c. 28kg
Step-by-step explanation:
28+25+31 = 84
84/3 = 28kg
Factor this expression completely, then place the factors in the proper location on the grid. A3y + 1
Answers
Answer: HI your question is incomplete/poorly attached below is the complete question
answer
( a + 3 ) , ( b + 2 )
Step-by-step explanation:
Given expression = ab + 2a + 3b + 6
factorizing the expression completely we will have
= a( b + 2 ) + 3 ( b + 2 )
hence the factors of the expression = ( a + 3 ) , ( b + 2 )
A writer was paid $4,000 for a 2,000-word article.
How much is that per word?
Answers
Answer:
$2 per word
Step-by-step explanation:
help?- Plot and connect the points A (-4, 4), B (-1, 1), C (-6, 1), and find the length of BC.
A.
4 units
B.
2 units
C.
6 units
D.
5 units
Answers
because the distance between B and C is 5 by looking at the x-axis
Answer:
BC= 5 units
Step-by-step explanation:
which functions have a range of.. SELECT MORE THAN 1
Answers
Answer:
The 3rd and the 5th
Step-by-step explanation:
The graphs of the 3rd and the 5th functions are straight lines
The 1st and 2nd are parabolas
The 4th is an exponential
You must look at the graph: it shall include all the real values for the y coordinate
what is logarithm in mathematics
Answers
Answer:
Logarithm, the exponent or power to which a base must be raised to yield a given number.
Yesterday, Janie walked 3
5
mile to a friend’s house, 1
4
mile to the store, and 3
8
mile to another friend’s house. Which is the best estimate of the distance Janie walked?
Three-fourthsmile
1 mile
1 and one-fourthmiles
2 miles
Answers
Answer:
1 and one-fourthmiles
Step-by-step explanation:
Answer:
C. 1 1/4
Step-by-step explanation:
i did the question
Please help me ASAP
Answers
Answer:
no
Step-by-step explanation:
no
In parallelogram LMNP if PQ=21 find QM.
Answers
Answer:
QM = 21
Step-by-step explanation:
The diagonals of a parallelogram bisect each other, then
QM = PQ = 21
what number can be add to
[tex] {9x}^{2} + 24x[/tex]
to make it a perfect square
•∆•
Answers
The required number will be 16
the expression will be like :
[tex]9 {x}^{2} + 24x + 16[/tex][tex](3x) {}^{2} + (2 \times 3x \times 4) + (4) {}^{2} [/tex][tex](3x + 4) {}^{2} [/tex]hope it helps you cap !!
Anti - Venom
Which expression is represented by the model?
Answers
Answer:
X+3
Step-by-step explanation:
I did the test
The Happy Platter orders corn tortillas and flourtortillas. The ratio of the number of corn tortillas to the number of flour tortillas is 2 : 3. What is the ratio of the number of flour tortillas to the total number of tortillas? Write your ratio 2 ways.
Answers
Answer:
One was to write this ratio is lets say you where ordering 100 Happy Platters this mean you would get 200 corn and 300 flour.
another way is lets say you got a Happy Platter and split it in half with some one else you would get 1 corn and 1.5 flour
SOMEONE HELP ME ASAP IM STRESSING OUT
Answers
Answer:
Use SOHCAHTOA
Step-by-step explanation:
If you don't know what this is, it means Sin=opposite/hypotenuse, cos=adjacent/hypotenuse, tan=opposite/adjacent. There is more than 1 way to solve this, but here's how I did it.
Starting with part A, we are trying to find the hypotenuse of the triangle. We have an angle and the side opposite of that angle, so we can use the sin function.
Sin(54) = 12.2 / hypotenuse
Sin(54) * hypotenuse = 12.2
Hypotenuse = 12.2 / sin(54) = 15.1
Now for Part B
Finding the last angle
180-90-54=36
So now, we have this angle and the side adjacent to it. We are trying to find the opposite side, so let's use the tan function
Tan(36) = opp / 12.2
opp = tan(36) * 12.2 = 8.9
You can double check these answers using pythagorean theorem. Hope this helps
If xy= 180 and HCF (x,y) = 3, then find the LCM (x,y)
tell the answer of LCM (x,y)
Answers
Answer:
Step-by-step explanation:
LCM×HCF= Product
LCM×3=180
LCM=180/3=60
8(2x + 3y)
In distributive property
Answers
Answer:
16x+24y
Step-by-step explanation:
8(2x+3y)
8*2x+8*3y
16x+24y
8(2x) + 8(3y)