Answer:
Step-by-step explanation:
7 feet 1 foot is 12 inches
7*12= 84 inches.
None of the choices are correct.
90 inches is 7.5 feet
62.5 inches is 5.2 feet
75 inches is 6.25 feet
What evidence is needed to prove two triangles are similar by the SSS similarity theorem?
Consider the same figure as given above. It is observed that DP/PE = DQ/QF and also in the triangle DEF, the line PQ is parallel to the line EF.
So, ∠P = ∠E and ∠Q = ∠F.
Hence, we can write: DP/DE = DQ/DF= PQ/EF.
The above expression is written as
DP/DE = DQ/DF=BC/EF.
It means that PQ = BC.
Hence, the triangle ABC is congruent to the triangle DPQ.
(i.e) ∆ ABC ≅ ∆ DPQ.
Thus, by using the AAA criterion for similarity of the triangle, we can say that
∠A = ∠D, ∠B = ∠E and ∠C = ∠F.
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Prove identity
\( \frac{1 - \tan {}^{2} (x) }{ \cot {}^{2} (x) - 1 } = \tan {}^{2} (x) \)
Prove identity
Step-by-step explanation:
\( \frac{1 - \tan {}^{2} (x) }{ \cot {}^{2} (x) - 1} = \tan {}^{2} (x) \)
\( \frac{1 - \frac{ \sin {}^{2} (x) }{ \cos {}^{2} (x) } }{ \frac{ \cos {}^{2} (x) }{ \sin {}^{2} (x) } - 1 } \)
\( \frac{ \frac{ \cos {}^{2} (x) - \sin {}^{2} (x) }{ \cos {}^{2} (x) } }{ \frac{ \cos {}^{2} (x ) - \sin {}^{2} (x) }{ \sin {}^{2} (x) } } \)
\( \frac{ \sin {}^{2} (x) }{ \cos {}^{2} (x) } = \tan {}^{2} (x) \)
\( \tan {}^{2} (x) = \tan {}^{2} (x) \)
in how many ways can three different integers be selected from 1 - 10 such that no two integers chosen are consecutive
There are 56 different ways to select three different integers from 1 to 10 such that no two chosen integers are consecutive.
To determine the number of ways to select three different integers from 1 to 10 such that no two chosen integers are consecutive, we can use combinatorics principles.
First, let's consider the total number of ways to choose three integers without any restrictions. This can be calculated using the combination formula:
C(n, r) = n! / (r!(n-r)!)
In this case, we have 10 integers to choose from, and we want to choose 3. Therefore, the total number of ways to choose three integers without any restrictions is:
C(10, 3) = 10! / (3!(10-3)!) = 10! / (3!7!) = 120
Now, let's consider the restricted condition that no two chosen integers can be consecutive. We can approach this by selecting three non-consecutive integers from the available set.
To do this, we can start by choosing any integer, then excluding its two adjacent integers. For example, if we choose 1, we cannot choose 2 or 3. Similarly, if we choose 10, we cannot choose 9 or 8.
Since there are two adjacent integers to exclude for each choice, we have 8 integers remaining to choose from. Therefore, the number of ways to select three non-consecutive integers is:
C(8, 3) = 8! / (3!(8-3)!) = 8! / (3!5!) = 56
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What is the volume of a cube with a side length of 5/6 cm?
Answer:
.58 cm^3
Step-by-step explanation:
The formula for finding the volume of a cube is V = a^3 where a is a side length.
If you input the given value into the formula, you get .58 cm^3
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One light flashes every 18 seconds and another light flashes every 12 seconds. If they flash together at 8:00 p.M., what is the next time that they will flash together?
Answer:
They will flash together at 36 seconds after 8:00 p.M which can be written as 8:00:36 PM.
Step-by-step explanation:
This question can be solved using concept of LCM
LCM is the least number which is divisible by all the set of given number.
LCM is found by finding the prime factors of given set of numbers and then taking the each numbers highest power and then multiplying all.
for example
lets find LCM of 20 and 75
prime factor of 20 = 2*2*5
prime factor of 75 = 3*5*5
highest power of 2 is 2*2 = 4
highest power of 3 is 3 = 3
highest power of 5 is 5*5 = 25
thus LCM is 4*3*25 = 300
Thus, 300 is the least number which will be commonly divisible by 20 and 75.
Now in the problem given One light flashes every 18 seconds and another light flashes every 12 seconds.
Thus, they will will flast together at time when the time will be commonly divisible by both 12 and 18.
to find that time, lets find the LCM of 12 and 18
The number is 12 , 18
prime factor of 12 = 2*2*3
prime factor of 18 = 2*3*3
highest power of 2 is 2*2 = 4
highest power of 3 is 3*3 = 9
thus LCM is 9*4 = 36
Thus, the lights will flash together after 36 seconds.
Given that they flash together at 8:00 p.M
They will flash together at 36 seconds after 8:00 p.M which can be written as 8:00:36 PM.
Describe the shape of the distribution.
A. It is skewed.
B. It is bimodal
C. It is uniform
D. It is symmetric
Please hurrry
Answer:
A
Step-by-step explanation:
the picture shown above is skewed
Answer:
It is skewed
Step-by-step explanation:
Just did test
which of the following represents the difference of the polynomial below? (x^4+8x^3+9x^2)-(5x^4+4x^3+2x^2)A. 5x^4+12x^3+11x^2B.-4x^4+12x^3+11x^2C.4x^4+4x^3+7x^2D.-4x^4+4x^3+7x^2
Given:
The objective is to find the difference between the polynomial equations (x^4+8x^3+9x^2)-(5x^4+4x^3+2x^2).
The difference can be calculated as,
\(\begin{gathered} =(x^4+8x^3+9x^2)-(5x^4+4x^3+2x^2) \\ =x^4+8x^3+9x^2-5x^4-4x^3-2x^2 \\ =x^4-5x^4+8x^3-4x^3+9x^2-2^2 \\ =-4x^4+4x^3+7x^2 \end{gathered}\)Hence, option (d) is the correct answer.
Answer:
D. -4x^4+4x^3+7x^
x^4+8x^3+9x^2-(5x^4+4x^3+2x^
distribute the negative to the whole second equation
x^4+8x^3+9x^2-5x^4-4x^3-2x^2
combine like terms and the answer is
Step-by-step explanation:
What is The midpoint of AB
the value of y is directly proportional to the value of x. If y= 35 when x=140, what is the value of y when x=70?
Answer:
17.5
Step-by-step explanation:
first you need to find the relationship between the y and x.
140/35= 4
so then we know that X is four times larger than y
70/4 = 17.5
Slope=5, goes through the point (2,7) what is the answer
Answer:
slope-intercept form: y=5x-3 point-slope form: y-7=5*(x-2)
Step-by-step explanation:
Y-y1=m(x-x1)
plug in the values and you get y=5x-3
\(\huge\boxed{\mathcal{HELLO!:)}}\)
Since we are given the slope of the line and a point that it passes through, we can easily determine the equation of the line.
First of all, we need to write it in Point-Slope Form:
\(\huge\boxed{\boxed{\rm{y-y1=m(x-x1)}}}\)
Where y1 is the y-coordinate of the point, m is the slope, and x is the x-coordinate of the point.
Plug in the values and solve:
\(\huge\rm{y-7=5(x-2)\)
\(\rm{y-7=5x-10\)
\(\rm{y=5x-10+7}\\\rm{y=5x-3\)
\(\huge\boxed{\mathbb{ANSWER:{\boxed{\bold{y=5x-3}}}}}\)
\(\bigstar\star\) Hope it helps! Enjoy your day!
\(\rm{FabulousKingdom:)\)
You have a peice of wood that measure's 112 inches you want to cut it up into 4 equal peices so that each peice is 25% of the length what will the length of each peice be
The length of each piece of wood will be 28 inches if divided into 25%.
To divide the wood into 4 equal pieces, we will divide the total quantity by 4. Thus, the fraction that we will get is 1/4th of total. Now, as per the known fact, 1/4 is 25%, which will be our required answer based on the criteria mentioned in question.
Length of wood after division = 112/4
Performing division on Right Hand Side of the equation
Length of wood after division = 28 inches
Hence, the four parts will be of 28 inches.
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If (x²- 4) = (x + 2) = x - 2, which polynomial should fill in the blank below?
(x + 2)x____= x² - 4
O x² – 4
OX-2
O x + 2
O x²-2
Answer:
x-2
Step-by-step explanation:
(x+2)× ___=(x+2)(x-2)
___=(x+2)(x-2)/(x+2)
___=x-2
The polynomial which should be filled in the blank is (x - 2).
What are Polynomials?Polynomials are mathematical expressions which consist of one or more terms involving variables and coefficients connected with operations like multiplication, subtraction, addition and natural number powers of variables.
Given that,
x² - 4 = (x + 2) (x - 2).
We have to find the blank space.
By commutative property, the other side is also equal.
That is,
(x + 2) (x - 2) = x² - 4
Hence the correct option is (x - 2).
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Identify or mark the missing side or angle that would make triangle ABC congruent to triangle PDF by SAS.
Answer:
msrk the side BC and DF that way it will be SAS axiom
Given that ABCD is a parallelogram, find the values for x and y.
Answer:
Value of x = 5°
Value of y = 4°
Step-by-step explanation:
Given:
ABCD is a parallelogram
Find:
Value of x and y
Computation:
12x = 60°
x = 5°
7y = 28°
y = 4°
Value of x = 5°
Value of y = 4°
On a coordinate plane, a straight line and a parallelogram are shown. The straight line has a positive slope and has a formula of y = x. The parallelogram has points E (3, negative 3), F (5, negative 3), H (2, negative 5), and G (4, negative 5). What are the coordinates of the image of vertex G after a reflection across the line y = x?
Answer:
gah dahn nobody knows the answer to dis
Step-by-step explanation:
i wouldn't know a dam thing mf
Answer:
Option 3: (-5, 4)
Step-by-step explanation:
edge2021
A machine cell uses 196 pounds of a certain material each day. Material is transported in vats that hold 26 pounds each. Cycle time for the vats is about 2.50 hours. The manager has assigned an inefficiency factor of 25 to the cell. The plant operates on an eight-hour day. How many vats will be used? (Round up your answer to the next whole number.)
The number of vats to be used is 8
Given: Weight of material used per day = 196 pounds
Weight of each vat = 26 pounds
Cycle time for each vat = 2.5 hours
Inefficiency factor assigned by manager = 25%
Time available for each day = 8 hours
To calculate the number of vats to be used, we need to calculate the time required to transport the total material by the available vats.
So, the number of vats required = Total material weight / Weight of each vat
To calculate the total material weight transported in 8 hours, we need to calculate the time required to transport the weight of one vat.
Total time to transport one vat = Cycle time for each vat / Inefficiency factor
Time to transport one vat = 2.5 / 1.25
(25% inefficiency = 1 - 0.25 = 0.75 efficiency factor)
Time to transport one vat = 2 hours
Total number of vats required = Total material weight / Weight of each vat
Total number of vats required = 196 / 26 = 7.54 (approximately)
Therefore, the number of vats to be used is 8 (rounded up to the next whole number).
Answer: 8 vats will be used.
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Jayden deposited $13 in a savings account that earns 2.6% simple interest. Which graph represents this scenario?
Answer:
not a hundred percent sure since there are no graphs attached but mine was Graph 1 to be the answer
After 2 years she will have earned $12 * 2*2.3% = $12* 4.6% = 55c interest (to the nearest cent). Therefore the balance will be $12.55
After 6 years she will have earned $12 * 6*2.3% = $12* 13.8% = $1.66 interest (to the nearest cent).
Therefore the balance will be $13.66
After 10 years she will have earned $12 * 10*2.3% = $12* 23% = $2.76 interest (to the nearest cent).
Therefore the balance will be $14.76
Simplify the following expression to remove negative exponents.
When there is a negative exponent, you switch the side of the fraction it's on. If the negative exponent is the numerator or a whole number, like \(x^{-9}\) or \(\frac{x^{-9} }{3}\), you move the exponent and its coefficient to the bottom so that it's part of the denominator, and remove the negative.
\(x^{-9}\) = \(\frac{1}{x^{9} }\)
\(\frac{x^{-9} }{3}\)= \(\frac{1}{3x^{9} }\)
If the exponent is on the bottom, or part of the denominator, like \(\frac{1}{x^{-4} }\), we move it to the top and take out the negative.
\(\frac{1}{x^{-4} }\) = \(x^{4}\)
In our case, the expression is \(x^{-7}\).
So, using our new knowledge of negative exponents, we can take the exponent and put it as a denominator.
\(x^{-7}\) = \(\frac{1}{x^7}\)
The answer would be the last answer.
hope this helps!
Gena and her friends each estimated the quotient of –137.56 divided by –6.12 using compatible numbers. Which shows the best estimate using compatible numbers? Negative 140 divided by negative 7 = 20 Negative 140 divided by 6 = 23.3 with bar Negative 135 divided by negative 7 = 22.5 Negative 135 divided by negative 5 = 27
Answer:
Negative 135 divided by negative 7 = 22.5
Step-by-step explanation:
Estimating the quotient of :
–137.56 divided by –6.12
The compatible number which gives the best estimate ;
Negative 140 divided by negative 7 = 20
-140 ÷ - 7 = 20
Negative 140 divided by 6 = 23.3 with bar
-140 ÷ 6 = - 23.3
Negative 135 divided by negative 7 = 22.5
-135 ÷ - 7 = 22.5
Negative 135 divided by negative 5 = 27
-135 ÷ - 5 = 27
Comparing the result with the actual quotient obtained using the actual value;
–137.56 ÷ ( –6.12) = 22.477
Hence,
Negative 135 divided by negative 7 = 22.5
-135 ÷ - 7 = 22.5 gives the closest estimate.
Answer:
b
Step-by-step explanation:
The graph shows the cost for a crate of the flowers Molly is planting in her garden.
What is the cost of 4 crates of flowers?
Answer:
where is the graph????
Step-by-step explanation:
please comment the picture to help thx
Answer:
10
Step-by-step explanation:
Find the equation of the lime shown?
Answer:
y = - 2x + 9------------------------------
Use two points on the line(0, 9) and (4, 1)The y-intercept is b = 9, find the slopem = (1 - 9)/4 = - 8/4 = - 2The line isy = mx + by = - 2x + 9\(\Large \boxed{\sf y = - 2x + 9}\\\\\sf Use\ the\ slope\ formula\ to\ find\ the\ slope\\ using\ two\ points\ from\ the\ graph.\\\\(0,9)\ and\ (4.5,0)\\\\\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}=\frac{0-9}{4.5-0} =-2\\\\The\ line\ intercepts\ at\ the\ y-axis\ at\ (0,9).\\ The\ y-intercept\ is\ b=9.\\\\ y=mx+b\\y=-2x+9\)
Ethology: The population, P, of fish in a lake t months after a nearby chemical factory commenced operation is given by P = 600(2 + e^-0.2t). Find the number of fish in the lake
(i) in the long run (that is, as t becomes very large).
Answer:
The number of fish in the lake is given by the equation P = 600(2 + e^-0.2t).
When t = 0, the number of fish is P = 600(2 + e^0) = 600(2 + 1) = 1200.
Therefore, there are 1200 fish in the lake.
As time goes on, the number of fish will decrease exponentially. This is because the chemical factory is polluting the lake, which is killing the fish.
In 10 months, the number of fish will be P = 600(2 + e^-0.2*10) = 600(2 + 0.125) = 750.
In 20 months, the number of fish will be P = 600(2 + e^-0.2*20) = 600(2 + 0.0625) = 675.
As you can see, the number of fish is decreasing rapidly. In just 20 months, the number of fish will have decreased by more than half.
What is a equivalent expression to 6(a + b)?
Answer:
6a + 6b
Step-by-step explanation:
Its simplified
The midpoint of PQ is M(, –1). One endpoint is Q(3, –5). Which equations can be solved to determine the coordinates of P? Check all that apply.
Answer:
c and d. just did the lesson and its those two.
Step-by-step explanation:
Answer:
the person above me is right
Step-by-step explanation:
Find the area of a circle with a diameter of 16 units.
Exact Area:
Approx Area (use 3.14 for pi):
Approx Area (use 22/7 for pi):
Answer:
exact: 64π square units3.14 for π: 200.96 square units22/7 for π: 201 1/7 square unitsStep-by-step explanation:
You want the area of a 16-unit circle using different values for pi.
AreaThe formula for the area of a circle is ...
A = πr² . . . . . . where r is half the diameter
For the different values of pi, this will be (in square units) ...
π(8²) = 64π . . . . exact
3.14(8²) = 200.96 . . . . using 3.14 for π, slightly low
22/7(8²) = 201 1/7 . . . . using 22/7 for π, slightly high
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Hey if you can’t see the photo it’s Y=3/4x+2! Graph it please!
The equation of the line given, would be able to graph the function by the given points :
( 0, 2 )(1, 2.75) (2, 3.5)How to graph equations ?You can graph a linear equation by coming up with values of x and then using the function to solve for a value of y. You can then graph these points on a graph.
The equation, y = 3 / 4 x + 2 means that the y - intercept is 2. This means that one point is ( 0, 2) as x = 0 at the y - intercept.
Pick the value of x = 1:
= 3 / 4 x 1 + 2
= 2. 75
Point = (1, 2.75)
x = 2 :
= 3 / 4 x 2 + 2
= 3. 5
Point = ( 2, 3.5 ).
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please help asap, will mark brainliest :))
Answer:
26
Step-by-step explanation:
Square the sides you know (A and B) Since you are finding side C the hypotenuse go by these steps:
Square the given sides.Add the sides togetherFind the square root of the sum.The square root of the sum is the side length of the hypotenuse.
\(10^{2} = 100\\24^{2} = 576\)
100 + 576 = 676
\(\sqrt{676} = 26\)
3(x + 1) < -2(x + 13)
Answer: \(\large \boldsymbol {\sf x<-5,8 \ \ or \ \ x \in (-\infty \ \ ; \ \ -5,8 ) }\)
Step-by-step explanation:
\(\large \boldsymbol {} \sf 3(x+1) < -2(x+13) \\\\ 3x+3<-2x-26 \\\\3x+2x<-26-3 \\\\5x<-29 \\\\x<-5,8 \ \ or \ \ x \in (-\infty \ \ ; \ \ -5,8 )\)
Help please 20 points and brainly if picked
Answer:
Below
Step-by-step explanation:
Slope of BLACK line = rise/run = 9 / 3 = m = 3
y intercept = b = 2 Line eq = y = mx+ b y = 3x +2
Slope of BLUE line similarly is 9 / -3 = m = -3
and b = 8
y = mx + b y = -3x + 8
3 If the formula y = x is changed by adding seven as shown in red below. Which of the following best describes the resulting change for each of the functions? Function f(0) = (x + 7)3 ] f(x) = x² +7 Transformation a. The +7 would directly affect the x-values, so the graph would shift horizonally. b. The +7 would directly affect the y-values, so the graph would shift vertically. c. The +7 would have no effect.
Notice that for the first altered function we have that:
\(x^3=(x-7+7)^3=f(x-7)\)Therefore the +7 would directly affect the x-values, so the graph would shift horizontally.
For the next function we have that:
\(x^3=x^3+7-7=f(x)-7\)Therefore the +7 would directly affect the y-values, so the graph would shift vertically.