Please rotate the picture for your ease*
.
Now, according to the opposite angle theorem,
Angle ABC is 31°.
And Angle ACB = 180° - 43° - 31° = 106°
Thus, Angle ACD = 180° - 106° = 74°.
Angle ADC= 180° - 107° =73°
Angle CAD(x) = 180° - 73°-74°
= 33°
A thief steals an ATM card and must randomly guess the correct pin code that consists of 4 digits (0 through 9) that must be entered in the correct order. Repetition of digits is allowed.
What is the probability of a correct guess on the first try?
Answer:
\(\frac{1}{10000} = 0.0001\) probability of a correct guess on the first try.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Desired outcomes:
Only one correct key, so \(D = 1\)
Total outcomes:
4 digits, each with 10 possible outcomes. So
\(T = 10^4 = 10000\)
What is the probability of a correct guess on the first try?
\(p = \frac{D}{T} = \frac{1}{10000} = 0.0001\)
\(\frac{1}{10000} = 0.0001\) probability of a correct guess on the first try.
HELP- PLSS i beggggggg
Answer:d) 40 students
for the second one, it would be 26.
Step-by-step explanation:
What is the inverse of the function f(x) = 169x2 when x ≥ 0?
A- f−1(x) = 13‾‾
B- f−1(x) = √13
C- f−1(x) = 13x
D- f−1(x) = 113
Answer:
\(f^{-1}(x) = \frac{\sqrt{x}}{13}\)
Step-by-step explanation:
Inverse function:
Suppose we have a function y = f(x). To find the inverse, we exchange the y and the x values, and then isolate y.
Function:
\(f(x) = 169x^2\)
That is:
\(y = 169x^2\)
Exchanging x and y:
\(x = 169y^2\)
Isolating y:
\(y^2 = \frac{x}{169}\)
\(y = \sqrt{\frac{x}{169}}\)
\(y = \frac{\sqrt{x}}{13}\)
\(f^{-1}(x) = \frac{\sqrt{x}}{13}\)
Which of the following is another way to label Plane J?
Select one: Plane h Plane
ABD Plane EFG Plane ADF
Check
Plane ADF is another way to label Plane J.
In order to determine which of the given options is another way to label Plane J, we need to first identify the key characteristics of Plane J.
These characteristics are its points, lines, and planes that it contains. We can then use these characteristics to compare and match them with the given options.
Here are the key characteristics of Plane J: Points: J, A, D Lines: JA, JD, AD Planes: Plane J Now let's examine each option to see which one matches the characteristics of Plane J: Option A: Plane h This option is not a match since Plane h is not one of the planes that contain the points J, A, and D.
Option B: Plane ABD This option is not a match since Plane ABD contains points A, B, and D but not point J.
Option C: Plane EFG This option is not a match since Plane EFG contains points E, F, and G but not point J.
Option D: Plane ADF This option is a match since Plane ADF contains points A, D, and F which are all points that are contained in Plane J.
Therefore, Plane ADF is another way to label Plane J.
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The radius of a circle is 10.7 m. Find the circumference
to the nearest tenth.
Answer:
2 x \(\pi\) x 10.7 = 67.2
Step-by-step explanation:
Step-by-step explanation:
c=2πr
c=2×π×10.7m
c=67.2m
so about 67
the scale of a map says that 4 cm represents5 km.What distance on the map in centimeters represents an actual distance of 4 kilometers
Answer:
3.2 cm
Step-by-step explanation:
If we know that our ratio is 4 cm: 5 km. We can find the unit rate of the scale. Which would be 0.8 cm: 1 km. After we find the unit ratio we can then multiply both sides by 4. (4 * 0.8) : (4*1) After simplifying we get the ratio of 3.2cm: 4 km.
Y=2X squared -12 X +20 for quadratic formula
x = (12 ± √(-16)) / 4,The solutions would be complex numbers.
What is the quadratic formula?To solve quadratic equations of the form ax2 + bx + c = 0, use the quadratic formula. For this situation, your condition is as of now as a quadratic condition, with a = 2, b = - 12, and c = 20.
The quadratic formula is:
x = (-b ± √\((b^2 - 4ac)\)) / 2a
Plugging in the values for a, b, and c, we get:
x = (-(-12) ± √\(((-12)^2 - 4(2)(20)))\) / 2(2)
Simplifying the expression inside the square root:
x = (12 ± √\((144 - 160)\)) / 4
x = (12 ± √(-16)) / 4
Since the square foundation of a negative number is definitely not a genuine number, this condition has no genuine arrangements. Complex numbers would provide the answers.
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In circle N with � ∠ � � � = 12 4 ∘ m∠MNP=124 ∘ and � � = 13 MN=13, find the area of sector MNP. Round to the nearest hundredth.
If circle with center N with m∠MNP=124 ∘ and MN=13, the area of sector MNP is approximately equal to 194.86 square units.
To find the area of a sector of a circle, we need to use the formula:
Area of sector = (central angle/360°) x πr²
Where r is the radius of the circle.
In this problem, we know that the central angle m∠MNP is 124° and MN, which is also the radius of the circle, is 13. So we can substitute these values into the formula:
Area of sector = (124/360) x π(13)²
Area of sector ≈ 194.86
Therefore, the area of sector MNP is approximately equal to 194.86 square units.
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Hi food morning
What is 10 x 100
Answer:
1000
Step-by-step explanation:
Answer:
1,000
Step-by-step explanation:
pls give brainliest
Which graph does NOT represent a function?
A)
A
B)
B
C)
С
D)
D
Answer:
(B)
Step-by-step explanation:
it is an undefined
Gate posts are parallel and m<4 =47, what is m<1
The value of angle 1 given the value of angle 4 as 47° will be 133°
How to explain parallel linesParallel lines are two lines on a two-dimensional plane that, no matter how far they are extended, never collide. They always keep the same gap between them.
Parallel lines have the same slope, which means they have the same angle of inclination or steepness. In other words, they rise and fall at the same pace along their length.
The value will be:
= 180° - 47°
= 133°
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PLEASE HLEP ME WITH THIS
Answer:
3
Step-by-step explanation:
You want side QR in parallelogram PQRS having side PS marked as 3.
ParallelogramOpposite sides of a parallelogram are the same length, so ...
QR = PS = 3
The length of QR is 3 units.
__
Additional comment
In a parallelogram, opposite sides are parallel and are the same length. Opposite angles have the same measure, and adjacent angles are supplementary. The diagonals bisect each other, but are usually different lengths and usually do not cross at right angles.
(If diagonals are the same length, it is a rectangle; if they cross at right angles, it is a rhombus. A rectangular rhombus is a square.)
Is 7,301,771 divisible by 6?
\(\huge\boxed{Hi\: there!}\)
\(\huge\mathfrak{Question:}\)
Is 7,301,771 divisible by 6?
\(\huge\mathfrak{Answer:}\)
No.
Remember, divisible by means the given number can be divided by a number without a remainder.
If we divide 7,301,771 by 6, we will get a remainder.
\(\huge\boxed{Therefore,\: 7,301,771 \: isn't \: divisible\: by 6.}\)
\(\huge\mathfrak{Good\: luck!}\\\huge\bold {~CheerfulTeen}\)
6/7 x 2/5 explain how you got your answer!
NEED HELP FAST THIS IS ALL MY POINTS
Answer:
Equations: 10+1 & 10-1
This would trick them good!
Without graphing, determine the number of solutions to the system of equations.
{6x−4y=9, 12x−8y=18
Select the correct answer below:
no solution
one solution
infinitely many solutions
Answer:
Infinitely many solutions
Step-by-step explanation:
(1) ---- 6x - 4y = 9
(2)---- 12x - 8y = 18
If you multiply (1) by 2 → 12x - 8y = 18 --- (3)
and then when you compare (2) and (3), you'll find that you still can't find the value of X and Y therefore, there's infinitely many solutions
Answer:
Infinitely Many Solutions!!
Step-by-step explanation:
You need to do elimination method!!
This is because we need to top the equation to cancel out and become negative.
6x−4y=9
12x−8y=18
You could do 6x and everything multiplied by -2. But 4y can do the same too!!
I rather do 4y x -2!
-12x+8y=-18
12x−8y=18
Everything cancels out!!
0=0
But 0 equals to 0 goes on forever so the answer is infinite solutions!!
**The reasoning behind the two other choices**
No solution would be like -3=0 which is not our case!!
One solution has something that goes into everything evenly!
Would someone be so kind as to lend a helping hand to me in solving this question?
Answer:
a) Provider B would be cheaper
b) \(10m^3\)
Step-by-step explanation:
a) Input 6 into both equations and solve. For Provider A, it would go like this: \(y = 6 + 15\). For Provider B, it would be this: \(y = 2(6) + 5\). The first provider adds up to £21 Pounds ($25.56 USD). The second provider adds up to £17 Pounds ($20.69 USD).
b) All you really need to do is just plug in numbers until both equations contain the same answer. The way I did it was: \(x + 15 = 2x + 5\). If your teacher asks how you got the answer, follow these steps:
\(x+15=2x+5\\x-5=2x-5\\x+10=2x\)
Which graph represents 12 = 3x + 4y line a, line b, line c
Answer:
green line or "b"
Step-by-step explanation:
we can set this up into the slope intercept form
y=mx+b
where m is the slope and b is y intercept
12=3x+4y
-3x -3x
-3x+12=4y
/4. /4. /4
-3/4x+3=y
we can see the only line with a negative slope and a y intercept at 3 is the green line or "b"
hopes this helps please mark rainliest
What is the common difference?? Please help me
The common difference of the sequence is -1/2
How to determine the common difference?From the question, we have the following parameters that can be used in our computation:
3/8, -1/8, -5/8, -9/8
The common difference is the difference between successive terms
So, we have
Difference = -1/8 - 3/8
Evaluate the difference
Difference = -1/2
Hence, the common difference is -1/2
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After she pays her bills each month, Lana has $300 left. Based on the graph below, which is the best estimate of how much she will spend on movies and eating out? $180 $75 $160 $200 $90 Discretionary Spending 16- to 22-Year-Olds Shopping for Pleasure 34% Hobbies 12% Eating Out 30% Movies 24%.
The best estimate of how much she will spend on movies and eating out is given as follows:
$162.
How to obtain the best estimate?The best estimate of how much she will spend on movies and eating out is obtained applying the proportions in the context of the problem.
The percentages associated with movies and eating out are given as follows:
Eating out: 30%.Movies: 24%.The amount that she has left is given as follows:
$300.
Hence the best estimate of how much she will spend on movies and eating out is obtained as follows:
(0.3 + 0.24) x 300 = 0.54 x 300 = $162.
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Write an expression:
a) 4 less than twice a
number
11
Gra
ine
a)
e
Answer:
2x - 4.
Step-by-step explanation:
4 less than twice a number is the same thing as a number times 2 minus 4. Let's say that the number is represented by x.
2 * x - 4 = 2x - 4.
Hope this helps!
The given figure is a right triangular prism.
In the prism:
• DF = 22 in.
• EG = 11 in.
• Volume of the prism = 1936 cubic in.
What is the length of AD?'
Use the given information to complete the worksheet.
Thank you!
The length of side AD is,
⇒ AD = 16
We have to given that;
The given figure is a right triangular prism.
In the prism:
• DF = 22 in.
• EG = 11 in.
• Volume of the prism = 1936 cubic in.
Since, Volume of right triangular prism is,
V = 1/2 (bh) x L
Substitute all the values we get;
V = 1/2 (22 × 11) × AD
1936 = 121 × AD
AD = 16
Thus, The length of side AD is, 16
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Use the ALEKS calculator to write 6/65 as a percentage
Answer:
9.23%
Step-by-step explanation:
Triangle TUV is dilated by a scale factor of 3/4 to form triangle TUV. Side UV
measures 18. What is the measure of side U'V'?
PLS HELP -
transponder for a toll bridge costs $22.50. With the transponder, the toll is $4 each time you cross the bridge. The only other option is toll-by-plate, for which the toll is $5.25 each time you cross the bridge with an additional administrative fee of $1.25 for each crossing. How many times would you need to cross the bridge for the costs of the two toll options to be the same?
You need to cross the bride _ times?
Using linear function you would need to cross the bridge 30 times for the costs of the two toll options to be the same.
What is meant by linear function ?To find out how many times you would need to cross the bridge for the costs of the two toll options to be the same, we need to set up an equation.Let x be the number of times you need to cross the bridge.For the transponder option: 22.50 + 4x = costFor the toll-by-plate option: 5.25x + 1.25x = costSince the costs of the two options need to be equal, we can set the two equations equal to each other and solve for x:22.50 + 4x = 5.25x + 1.25x + 22.504x = 5.25x + 1.25x0.75x = 22.50x = 30So you would need to cross the bridge 30 times for the costs of the two toll options to be the same.To learn more about linear function refer:
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This is the question
Check the picture below, so the lines look more or less like so, so the shape that we'll be getting will be the shape of a bowl with a hole in it, thus we'll use the washer method.
the way I use to get the larger Radius is simply using the "area under the curve" method, namely f(x) - g(x), where g(x) in this case is the axis of rotation.
so to get "R" and "r" we can get it by
\(\stackrel{y = 1}{(1)}~~ - ~~\stackrel{\stackrel{\textit{axis of rotation}}{y = -3}}{(-3)}\implies 1+3\implies \stackrel{R}{4} \\\\\\ \stackrel{y = \ln(x)}{\ln(x)}~~ - ~~\stackrel{\stackrel{\textit{axis of rotation}}{y = -3}}{(-3)}\implies \stackrel{r}{ln(x)+3} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{R^2}{(4)^2}~~ - ~~\stackrel{r^2}{[\ln(x)+3]^2}\implies 16~~ - ~~[\ln^2(x)+6\ln(x)+9] \\\\\\ \ln^2(x)+6\ln(x)+7~\hfill \boxed{\displaystyle\int~[\ln^2(x)+6\ln(x)+7]dx}\)
Which of the following demonstrates how the 70 is calculated using the
combination pattern?
The correct answer is A.
If A(0, 4), B(5, y), and AB = 13. What is y?
The required value of y for the given segment AB is given as y = 16, -8.
A line is a straight curve connecting two points or more showing the shortest distance between the initial and final points.
here,
A(0, 4), B(5, y), and AB = 13.
Applying the distance formula,
D = √[[x₂ - x₁]² + [y₂- y₁]²]
Substitue the value in the above expression,
13 = √[[5 - 0]² + [y - 4]²]
169 = 25 + [y - 4]²
[y - 4]² = 144
y - 4 = ± 12
y = 16, -8
Thus, the required value of y for the given segment AB is given as y = 16, -8.
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Question 9 of 10
Which is the largest number?
OA. 5.8 x 10-3
B. 2.5 x 105
о C. 1.9 × 106
OD. 8.7 x 10²
On solving the provided question, we can say that F= The lifting force is 27135 0.003357*250*180*180 = F=27135, surface area
What is surface area and an illustration?The total area that all of a 3D object's faces cover is the surface area. The surface area of a cube is its surface area, for instance, if we are trying to determine how much paint is needed to paint it. Always expressed in square units.
The entire surface of a three-dimensional shape is referred to as its surface area. A cuboid with six rectangular faces has a surface area equal to the sum of the areas of each face. Alternatively, you can label the cuboid's length, width, and height (l, w, and h), then calculate its surface area (SA) using the formula: SA=2lw+2lh+2hw.
F= k*a*v^2
a= 250
v=190
30300=k*250*{190^2}
k= 0.03357
F= 0.003357*250*180*180
F=27135
The lifting force is 27135
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A rectangle has a length 3x + 1 of and a width of Write an expression for the 3-9
perimeter of the rectangle.
The expression for the perimeter is P = 12x - 16
How to write an expression for the perimeter?The given parameters are
Length = 3x + 1
Width = 3x - 9
The perimeter is calculated as
P = 2 * (Width + Length)
So, we have
P = 2 * (3x + 1 + 3x - 9)
Evaluate
P = 2* (6x - 8)
Expand
P = 12x - 16
Hence, the expression for the perimeter is P = 12x - 16
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