Answers
Answer:
what's the problem!?......
angle CDT is the opposite angle of ADN
and the segment DF=FN, so AD= AN
and thats why angle FAN= angle FAD
here, Angle FAN =60,
therefore, FAD=60, and AFD = 90 so angle ADN must be 30 degree
and the opposite of ADN is CDT, and the opposite angles are equal.
Hope u got it.
Related Questions
Blood pressure values are often reported to the nearest 5 mmhg (100, 105, 110, etc.). the actual blood pressure values for nine randomly selected individuals are given below.
108.6 117.4 128.4 120.0 103.7 112.0 98.3 121.5 123.2
Required:
a. What is the median of the reported blood pressure values?
b. Suppose the blood pressure of the second individual is 117.7 rather than 117.4 (a small change in a single value). What is the new median of the reported values?
c. What does this say about the sensitivity of the median to rounding or grouping in the data?
Answers
Answer:
Step-by-step explanation:
Arranging the data in the ascending order:
108.6 98.3 103.7 112 117.4 120 121.5 123.2 128.4
The median is the middle value of the data set:
a)
Hence,
median = 117.4
b)
When the value of blood pressure is 117.7 instead of 117.4 then the median will be:
Median = 117.7
c)
This indicates that the median of a well sorted set of data is depends upon the middle value of the data set.
I need help:/ I’m in college
Answers
Step-by-step explanation:
Amount of acid = 14.9% of 331 mL solution
= 0.149×(331 mL)
= 49.3 mL acid
Suppose you want to have $400,000 for retirement in 35 years. Your account earns 9% interest. a) How much would you need to deposit in the account each month? b) How much interest will you earn? $
Answers
9514 1404 393
Answer:
a) $135.97
b) $342,892.60
Step-by-step explanation:
a) The attached spreadsheet shows the use of the "payment" function for determining the amount of a payment that will give the desired future value. It shows the deposit needs to be $135.97 per month.
__
b) The interest earned is the difference between 420 payments and the account balance. The interest amount is $342,892.60.
Classify the type of angle.
A: Acute
B: Right
C: Straight
D: Obtuse
Answers
Obtuse
Step-by-step explanation:
I really don’t know which angle they’re asking for because the 140 degree angle is obtuse and the 40 degree angle is acute
Answer:
obtuse angle that's the answer
How would I find the area of this?
Answers
Answer:
Read below v
Step-by-step explanation:
First you would find the area of the semi circle by turning it into a circle and then dividing your answer by two. Then you would find the area of the triangles.
Answer:
26.13 [tex]ft^{2}[/tex]
Step-by-step explanation:
Half circle :
Area of a circle = [tex]\pi r^{2}[/tex]
A = 3.14 ([tex]3^{2}[/tex]) = 9(3.14) = 28.26
That's a full circle. We want half. Divide by 2 = 14.13
Triangles. Both are same.
A = [tex]\frac{(b)(h)}{2}[/tex] = [tex]\frac{(3)(4)}{2}[/tex] = [tex]\frac{12}{2}[/tex] = 6
There are two of them, so area of triangles is 12
12 + 14.13 = 26.13
Use the Gauss-Jordan method to solve the system of equations. If the system has infinitely many solutions, give the solution with z arbitrary
Answers
Write each equation in standard form:
3x + y + 3z = 11
x + 2y + z = 7
-x + y + z = 0
In matrix form, this is
[tex]\begin{bmatrix}3&1&3\\1&2&1\\-1&1&1\end{bmatrix}\begin{bmatrix}x\\y\\z\end{bmatrix}=\begin{bmatrix}11\\7\\0\end{bmatrix}[/tex]
and in augmented matrix form,
[tex]\left[\begin{array}{ccc|c}3&1&3&11\\1&2&1&7\\-1&1&1&0\end{bmatrix}\right][/tex]
Now for the row operations:
• Add row 1 to -3 (row 2), and add row 1 to 3 (row 3):
[tex]\left[\begin{array}{ccc|c}3&1&3&11\\0&-5&0&-10\\0&4&6&11\end{bmatrix}\right][/tex]
• Multiply row 2 by -1/5:
[tex]\left[\begin{array}{ccc|c}3&1&3&11\\0&1&0&2\\0&4&6&11\end{bmatrix}\right][/tex]
• Add -4 (row 2) to row 3:
[tex]\left[\begin{array}{ccc|c}3&1&3&11\\0&1&0&2\\0&0&6&3\end{bmatrix}\right][/tex]
• Multiply row 3 by 1/6:
[tex]\left[\begin{array}{ccc|c}3&1&3&11\\0&1&0&2\\0&0&1&\frac12\end{bmatrix}\right][/tex]
• Add -1 (row 2) and -3 (row 3) to row 1:
[tex]\left[\begin{array}{ccc|c}3&0&0&\frac{15}2\\0&1&0&2\\0&0&1&\frac12\end{bmatrix}\right][/tex]
• Mutiply row 1 by 1/3:
[tex]\left[\begin{array}{ccc|c}1&0&0&\frac52\\0&1&0&2\\0&0&1&\frac12\end{bmatrix}\right][/tex]
Then the solution to the system is (x, y, z) = (5/2, 2, 1/2).
what's the difference between -1/2 and 1/6
Answers
Answer: -4/6 or -2/3
Step-by-step explanation:
First, you find a common denominator among the fractions, which would be 6.
Convert -1/2 to have 6 as its denominator.
-1/2* 3/3 = -3/6
And then subtract them.
-3/6 - 1/6 = -4/6
-4/6 simplified is -2/3
When you subtract a positive number from a negative number, you are adding their absolute values.
Solve the inequality (help please)
Answers
Answer:
v<1 23/25
Step-by-step explanation:
The inequality simplifies to 48/25, which is equivalent to 1 23/25.
find the missing length indicated.
Answers
Answer:
192
Step-by-step explanation:
x is the altitude of the right triangle. Thus, we would apply the geometric mean theorem to find the value of x. Thus, the formula is given as:
h = √(ab)
Where,
h = altitude = x
a = 144
b = 400 - 144 = 256
Plug in the given values into the formula
x = √(144*256)
x = √(36,864)
x = 192
Simplify.
2 x (3-1) + 3
07
8
O 10
O 11
Answers
Answer:
7
Step-by-step explanation:
2 x (3-1) + 3
Evaluate using PEMDAS
Parenthesis
Exponents
Math and Division ( left to right )
Addition and Subtraction ( left to right )
2 x (3-1) + 3
According to PEMDAS we do the operations inside of the parenthesis first
3 - 1 = 2
We now have: 2 x 2 + 3
Next we do exponents
There are no exponents so let's move on to multiplication and division
There is indeed multiplication so we do it
2 x 2 = 4
We now have: 4 + 3
Finally we do the addition
4 + 3 = 7
The answer is 7
Y
X
Pls help me you’ll get 29 points
Answers
Answer:
x = 60
Step-by-step explanation:
The sum of the angles of a triangle add to 180
x+x+x = 180
3x = 180
Divide by 3
3x/3 =180/3
x = 60
What is the slope of the line?
-3
-1/3
1/3
3
Answers
Answer:
D) 3
Step-by-step explanation:
Rise/run, rise is 3, run is 1
Answer:
3
Step-by-step explanation:
Pick two points on the line
(0,0) and ( 1,3)
The slope is found by
m = ( y2-y1)/(x2-x1)
= ( 3-0)/(1-0)
= 3/1
= 3
Find the equation of the line passing through (4,1) and perpendicular to the line whose equation is 1x-3y-4=0
Answers
9514 1404 393
Answer:
3x +y -13 = 0
Step-by-step explanation:
The perpendicular line will have the variable coefficients swapped and one of them negated. The new constant will be appropriate to the given point.
3(x -4) +1(y -1) = -0
3x +y -13 = 0
_____
Additional comment
The given equation is in "general form", so that is the form of the equation we have given as the answer. This form is convenient in that the general form equation for a line through the origin, ax+by=0, is easily translated to make it pass through a point (h, k): a(x -h) +b(y -k) = 0. Eliminating parentheses puts the equation back into general form.
Which equation is equivalent to
1
3
= 27X+22
O 3*-3-3x+2
O 3* = 33x+6
O 3-* - 33x+2
O 3-* = 33x+6
Answers
Answer:
[tex]3^{-x} = 3^{3x + 6}[/tex]
Step-by-step explanation:
Required
Which is equivalent to [tex](\frac{1}{3})^x = 27^{x + 2}[/tex]
Express base as 3
[tex](3^{-1})^x = 3^3^{x + 2}[/tex]
Open brackets
[tex]3^{-x} = 3^{3x + 6}[/tex]
Suppose that the functions and g are defined for all real numbers x as follows.
f(x)=x+6
g(x) = 2x + 6
Write the expressions for (f-g)(x) and (fg)(x) and evaluate (f+g)(1).
Answers
Answer:
Step-by-step explanation:
Given functions are,
f(x) = x + 6
g(x) = 2x + 6
(f - g)(x) = (x + 6) - (2x + 6)
= -x
(f . g)(x) = f(x) × g(x)
= (x + 6)(2x + 6)
= 2x² + 6x + 12x + 36
= 2x² + 18x + 36
(f + g)(x) = (x + 6) + (2x + 6)
= 3x + 12
(f + g)(1) = 3(1) + 12
= 15
Answer question below
Answers
Answer:
edge of cube = root 13.5/6 = 1.5
volume of cube = (Edge of cube)^3= (1.5)^3 = 3.37500 m^3
A rocket is fired upward with an initial velocity v of 80 meters per second. The quadratic function S(t)=−5t2+80t can be used to find the height s of the rocket, in meters, at any time t in seconds. Find the height of the rocket 8 seconds after it takes off. During the course of its flight, after how many seconds will the rocket be at a height of 270 meters?
Answers
9514 1404 393
Answer:
a) 320 m
b) 4.838 seconds, or 11.162 seconds
Step-by-step explanation:
a) S(8) = -5(8^2) +80(8) = -320 +640 = 320
The height 8 seconds after takeoff will be 320 meters.
__
b) S(t) = 270
270 = -5t^2 +80t
-54 = t^2 -16t . . . . . . divide by -5
10 = t^2 -16t +64 . . . . add 64
±√10 = t -8 . . . . . . . . . . take the square root
t = 8 ±√10 ≈ {4.838, 11.162}
The rocket will be at a height of 270 meters at 4.838 and 11.162 seconds after takeoff.
A class of 24 students is planning a field trip to a science museum. A nonrefundable deposit of $50 is required for the day-long program, plus a charge of $4.50 per student.
Determine a linear function that models the cost, c, and the number of students, s.
Answers
Answer:
c = 4.50s + 50
Step-by-step explanation:
50 is a flat rate so it is a constant. 4.50 is the charge per student so it would be multiplied by the total number of students s.
Answer:
This is the linear function: c = 4.5s + 50
This is the cost if all 24 students came along: $158.00
Step-by-step explanation:
C is the total cost, it is $4.50 per student coming, and there is a $50 non refundable deposit for the program. So, if all 24 students came along for the trip, you would do 24 times $4.50 which is $108 and then add the additional $50 for the nonrefundable deposit, making the total $158.
What is the value of the expression 10(n-6) when 4=14
Answers
Answer:
it's going to be 4n so its going to be 4...
Step-by-step explanation:
Answer:
80
Step-by-step explanation:
Assuming you meant when n=14
10(n-6)
plug in 14 for n
10(14-6)
work out parenthesis first
10(8)=
80
Could someone possibly help me with this
Answers
Answer:
40
Step-by-step explanation:
The shape has 6 sides a,b,c,d,e,f
The perimeter is the sum of the sides
P = a+b+c+d+e +f
4 of the sides add to 195 a+b+c+d = 195 Replace in the equation
P = 195 +e+f
We know that e and f are equal
P = 195+f+f
P = 195+2f
The perimeter is 275
275=195+2f
Subtract 195 from each side
275 -195 = 195+2f-195
80 = 2f
Divide by 2
80/2 = 2f/2
40 =f
The other 2 sides are 40 ft each
Find the product of these complex numbers.
(8 + 5)(6 + 3) =
Answers
D
Step-by-step explanation:
For this kind of stuff, we’ll need to use the FOIL Method. Basically start with the Firsts, Outers, Inners and Lasts.
(8 + 5i) (6 + 3i) =
Multiply 8 x 6
Answer: 48
Multiply 5i x 3i
Answer: 15i^2
Multiply 5i x 6
Answer: 30i
Multiply 8 x 3i
Answer: 24i
Then add 30i + 24i = 54i
Finally subtract 48 - 15 = 33
Final Answer: 33 + 54i
Write the equation of the line in point-slope form given the information:
Slope = -1/5
Y intercept = -3
Answers
point slope form:
y + 3= -1/5 x (x+0)
Step-by-step explanation:
-use the point slope form equation: y - y1 = m (x - x1).
-using the given information we know that m = -1/5 and that the y intercept is (0,-3).
- y and x will be kept as a variable.
-plug in the y1 and x1 from the y intercept:
y + 3 = m(x + 0)
-once you've plugged in the y intercept then plug in the slope which gives you the answer:
y + 3= -1/5 x (x+0)
821) The integon which is 15 more than - 55 is
Answers
Answer:
-40
Step-by-step explanation:
-55 + 15 = x
-40 =x
900 d 180 nd the SP when: CP = Rs. 950, gain = 6 1%4
Answers
Respuesta:
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Step-by-step explanation:
THERE ARE STEPS TO THIS
what is the completely factored form of this expression?
y^2-12y+32
a.(y+4)(y+8)
b.(y-4)(y-8)
c.(y+18)(y+2)
d.(y-18)(y-2)
Answers
Because
-4-8=-12
-4*-8=32
Answer:
[tex]y^2-12y+32[/tex]
[tex]=(x - 4)(x - 8)[/tex]
------------------------
Hope it helps...
Have a great day!!
PLEASE PLEASE HELP ASAPPPP IM BEING TIMEDDD
6x2y − 3xy − 24xy2 + 12y2
Rewrite the expression completely factored. Show the steps of your work.
Answers
Answer:
3y(2x-1)(x-4y)
Step-by-step explanation:
Apply exponent rule:
6x^2y-3xy-24xyy+12yy
Rewrite 12 as 4*3
Rewrite -24 as 8*3
Rewrite 6 as 2*3
2*3x^2y-3xy+8*3xyy+4*3yy
Factor out common term 3y:
3y(2x^2-x-8xy+4y)
Factor 2x^2-x-8xy+4y:
3y(2x-1)(x-4y)
Your Answer Is 3y(2x-1)(x-4y)
How do I write this is in a fraction. Please please help
15-(-6) =
Answers
Answer:
5/2
Step-by-step explanation:
You change the signs to positive and then you put 15 as numerator and then 6 as denominator which gives you 15/6. But you can also simplify it which gives you 5/2. Hope this helps!
If someone knows the answer that will be greatly appreciated :)
Answers
[tex]a. \: 8 = 2 + 2a \: and \: 3 = a[/tex]
Step-by-step explanation:
Set up equation as we know both weights are equal.Subtract two from both sides and divide by 2 to isolate the variable a.3 = aIn the graph, the area below f(x) is shaded and labeled A, the area below g(x) is shaded and labeled B, and the area where f(x) and g(x) have shading in common is labeled AB.
Graph of two intersecting lines. The line g of x is solid and goes through the points 0, 2, negative 2, 0 and is shaded in below the line. The other line f of x is dashed, and goes through the points 0, 6, 3, 0 and is shaded in below the line.
The graph represents which system of inequalities?
y < −2x + 6
y ≤ x + 2
y ≤ −2x + 6
y < x + 2
y < 2 over 3x − 2
y ≥ 2x + 2
None of the above
Answers
9514 1404 393
Answer:
y < −2x + 6y ≤ x + 2Step-by-step explanation:
The line with the y-intercept of 2 is solid, so the corresponding inequality will be of the form ...
y ≤ mx +2
The line with the y-intercept of 6 is dashed, so the corresponding inequality will be of the form ...
y < mx +6
The answer choice showing inequalities with these forms is ...
y < −2x + 6y ≤ x + 2Answer:
None of the above I think
Step-by-step explanation:
Abu is trying to decide which pet–sitting service he wants to use . Your Pets charges a $15 fee, plus $1 .75 per hour . Sit Pets charges an $11 fee, plus $2 .25 per hour . At how many hours will both services ...
Answers
Answer:I did not see the entire question but is assuming the question is asking how many hours for both services to cost the same.
Your Pets Cost =15+1.75x
Sit Pets Cost =11+2.25x
set both equations equal to each other
15+1.75x=11+2.25x
15-11 = (2.25-1.75)x
4=0.5x
x=8
Step-by-step explanation:
