Answers
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Explanation:
Your teacher shows that minor arc BD is 129 degrees. Recall that any minor arc is always less than 180 degrees.
Let's say that we had point A at the center of the circle. This would mean angle DAB is 129 degrees. This central angle subtends or cuts off minor arc BD.
Now focus entirely on quadrilateral DABC. The goal is to find the unknown angle C. The angle A was found earlier at 129 degrees. The angles B and D are 90 degrees each since tangents are perpendicular to the radius at the point of tangency.
We have this so far
A = 129B = 90C = unknownD = 90Adding all four angles of any quadrilateral will always get us 360 degrees. It's similar to how adding the angles of a triangle gets us 180 degrees. In fact, any quadrilateral can be cut into two triangles (aka the process of triangulation). So adding two triangles gets us 180+180 = 360 more or less.
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Anyways, the four angles A,B,C,D must add to 360. So,
A+B+C+D = 360
129+90+C+90 = 360
C+309 = 360
C = 360-309
C = 51
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As a shortcut, note how B+D = 90+90 = 180
Also note that A+C = 360-(B+D) which becomes A+C = 180
So, C = 180-A = 180-129 = 51
Related Questions
A steep mountain is inclined 75 degree to the horizontal and rises 3900 ft above the surrounding plain. A cable car is to be installed by connecting a cable from the top of the mountain to a spot on the plain that is 910 ft from the base of the mountain. Find the shortest length of cable needed.
Answers
Answer: [tex]4004.76\ ft[/tex]
Step-by-step explanation:
Given
inclination is [tex]\theta=75^{\circ}[/tex]
Mountain is [tex]h=3900\ ft[/tex] high
Cable is tied [tex]x=910\ ft[/tex] from the base of the mountain
From the figure, length of the shortest path is [tex]l[/tex]
It is given by using Pythagoras theorem
[tex]\Rightarrow l^2=3900^2+910^2\\\Rightarrow l=\sqrt{(3900)^2+(910)^2}\\\Rightarrow l=4004.76\ ft[/tex]
The outer radius of a cylindrical metal tube is R and t is the thickness of the metal. a Show that the volume, V. of metal in a length.7 units, of the tube is given by V. = m(2R - 0). b Hence calculate V when R = 7.5.1 = 1 and l= 20
Answers
Complete question is;
The outer radius of a cylindrical metal tube is R and t is the thickness of the metal.
A) Show that the volume, V, of metal in a length, l units, of the tube is given by V = πlt(2R - t)
B) Hence calculate V when R = 7.5. t = 1 and L = 20
Answer:
A)V = πlt(2R - t)
B)V = 879.65
Step-by-step explanation:
A) Formula for volume of a hollow cylinder is; V = π(R² - r²)h
Where;
R is outer radius
r is inner radius
h is height/length of tube
Now, we are told thickness is t.
Thus; R - r = t
Also, h = l
Thus;
V = π(R² - r²)h
Let's factorize this to get;
V = π((R + r)(R - r))l
V = π((R + r))lt
Since R - r = t
Then, r = R - t
Thus;
V = π(R + R - t)lt
V = πlt(2R - t)
B) when R = 7.5, t = 1 and l= 20;
V = πlt(2R - t)
V = π × 20 × 1(2(7.5) - 1)
V = 879.65
Given the following coordinates complete the reflection transformation.
Answers
Answer:
see explanation
Step-by-step explanation:
Under a reflection in the x- axis
a point (x, y ) → (x, - y ) , then
A (2, 0 ) → A' (2, 0 )
B (4, 1 ) → B' (4, - 1 )
C (6, - 4 ) → C' (6, 4 )
Under a reflection in the y- axis
a point (x, y ) → (- x, y ) , then
A' (2, 0 ) → A'' (- 2, 0 )
B' (4, - 1 ) → B'' (- 4, - 1 )
C' (6, 4 ) → C'' (- 6, 4 )
please help me with this also if your good at geometry please dm me I need serious help!!
Answers
Answer:
0.92
Step-by-step explanation:
cosine = adjacent/ hypotenuse
cosine of t = 12/ 13
cos t= 0.92308
what is the external angle of a polygon where the corresponding interior angle equals 105 degrees
Answers
Answer:
75 degrees maybe.......
Answer:
75 degrees
Step-by-step explanation:
the external angle is between the outside of one of the sides of the angle and the continued line of the second side of the angle.
and because it is measured against a line, where we have a total of 180 degrees for angles, we have
exterior angle = 180 - interval angle = 180-105 = 75
if sinA=4/5 and cosB=12/13 find the value of:
Sin2A
Answers
Answer:
24/25
I hope this will help you.
Given a line segment that contains the points A,B, & C in order,if AB = 2x + 3, BC = 4x - 11, and AC = 28, find the length of segment AB.
Answers
Answer:
15
Step-by-step explanation:
AB+BC=AC
2X+3+(4X-11)
6X-8=28
6x= 36
x=6
then ab= 2(6)+3
=15
bc= 4(6)-11
=13
ac=ab+bc
=15+13
=28
Help solve for the area
Answers
Answer:
B
Step-by-step explanation:
half × base × height
height × length
Answer: B
Step-by-step explanation:
Triangle)
25 - 7 = 18
[tex]A=\frac{1}{2}(b)(h)\\A=\frac{1}{2}(18)(17)\\A=153cm^2[/tex]
Rectangle)
[tex]A=b(h)\\A=7(17) = 119cm^2[/tex]
Total)
[tex]153+119=272 cm^2[/tex]
A pile of sand has been stored in the shape of a cone. Mr. Terwilliker knows that the pile is 20 feet tall and 102 feet in circumference at the base. What is the area of the conical tarpaulin needed to cover the pile?
Answers
Answer:
The area of tarpaulin is 1315.63 ft^2.
Step-by-step explanation:
height, h = 20 feet
circumference, C = 102 feet
Let the radius is r.
Circumference, C = 2 x 3.14 x r = 102
r = 16.24 feet
Let the slant height is L.
[tex]L = \sqrt{h^2 + r^2}\\\\L = \sqrt{20^2 + 16.24^2}\\\\L = 25.8 ft[/tex]
The curved surface area is
S = 3.14 x r x L
S = 3.14 x 16.24 x 25.8 = 1315.63 ft^2
Answer:
400pi square feet
Step-by-step explanation:
Find the radius
Find the slant height
Put it in the formula for a cone but take the circumference part out
Divide your answer by pi
The question asks for the closest answer
400pi square feet is the closest option to 418.17pi square feet.
15. Mary was given data comparing students’ mark in math class and the number of classes missed. She plotted the data on the graph below and drew a line of best fit. Do you agree with Mary’s drawing of the line of best fit? Justify your answer. PLEASE HELP ITS RLLY IMPORTANT
Answers
Answer:
No
Step-by-step explanation:
The line of best fit should follow the correlation of the data and it should go through as many of the plotted data as possible.
The Data is showing a negative correlation but she has drawn on a positive correlation and it also only goes through 1 point.
Hope this helps :)
please HELP ME!!! (16 POINTS) due today :)))
Answers
Answer:
Step-by-step explanation:
I'm not sure what the question is asking, but if you mean the angles in the blue lines
First one, we know that the full length is 90, and it has gacen us 80, so the angle would be 10
Second one, we see that the angle is still 90, and since the given degree is 30, the unkown angle would be 60
Third one, the given angle is 75 so 90-75=15.
The answers would be 10, 60, and 15.
4. 170*
5. 330*
6. 285*
Step-by-step explanation:
4. Explanation: 90* is added by the other angle in the right + 80* for the same angle
90* + 80* = 170*
————————————————————
5. Explanation: we are trying to find out the total among every angle measure except for 30.
Total angle measure = 360*
360 - 30 = 330*
—————————————————————
6. Explanation: 360 - 75 = 285*
Find the greatest common factor
Answers
Answer:
3x^2y^2
Step-by-step explanation:
I think:
3*2*x*x*x*y*y*y*y
3*3*x*x*y*y
3*6*x*x*x*y*y
They all have 3x^2y^2 in common.
what is the answer?
A. 41°
B. 98°
C. 123°
D. 139°
Answers
Answer:
139
Step-by-step explanation:
Supplementary angles add to 180 degrees
BOC + 41 = 180
BOC = 180-41
BOC = 139
Choose the inequality that represents the following graph.
Answers
Answer:
D) x ≥ -2
Step-by-step explanation:
PLZ HELP! Also, give an explanation. :)
Answers
Answer: First option (your selected answer)
Step-by-step explanation:
(rotating an object 360° will bring it to its original position)
(rotating an object 180° will turn it upside-down)
(rotating an object 90° will make it sideways)
(to calculate the scale factor, pick a point on both triangles that are of the same corner)
ex: A: (-12,12) and A': (4,-4)
(ask yourself what you need to multiply the x and y coordinates of ΔABC by to get the resulting x and y coordinates of the ΔA'B'C')
[tex]-12*-\frac{1}{3}=4\\12*-\frac{1}{3}=-4[/tex]
(you multiply -1/3 to get the x and y value of the second triangle)
(though the provided options do not display the negative scale factor, the scale factor should be negative)
ΔABC - ΔA'B'C', because ΔA'B'C' is obtained by dilating ΔABC by a scale factor of 1/3 and then rotating it about the origin by 180°
The least-squares regression method is: Multiple Choice A graphical method to identify cost behavior. An algebraic method to identify cost behavior. A statistical method to identify cost behavior. The only identify cost estimation method allowed by GAAP. A cost estimation method that only uses the two extreme values.
Answers
Answer:
A statistical method to identify cost behavior.
Step-by-step explanation:
Costing is the measurement of the cost of production of goods and services by assessing the fixed costs and variable costs associated with each step of production.
In Financial accounting, the three methods used to classify costs into their fixed and variable components includes high-low method, scatter diagrams and least-squares regression.
A least squares regression line is a standard technique in regression analysis used to make the vertical distance obtained from the data points running to the regression line to become very minimal or as small as possible.
Hence, the least-squares regression method is a statistical method that is typically used for identifying cost behavior.
Generally, the sum of the residuals of a least squares regression line is always equal to zero.
I need help to find the missing side of this right triangle
Answers
Answer:
[tex]\sqrt{136}[/tex]
Step-by-step explanation:
Formula for Pythagorean theorem: [tex]a^{2} +b^{2} = c^{2}[/tex]
Plug in:
[tex]6^{2}+10^2=x^2[/tex]
Solve:
36 + 100 = [tex]x^{2}[/tex]
136 = [tex]x^{2}[/tex]
[tex]\sqrt{136}[/tex] = x
The answer is [tex]\sqrt{136}[/tex].
Hope this helped.
Evaluate the powers of 3 to find each value.?
Answers
Answer:
The value of 3^-2 is 1/9
Step-by-step explanation:
This is because negative exponent such as [tex]2^{-1}[/tex] transfer to 1/2. Therefore, you might notice a pattern of negative exponent -> fraction. 3^-2 -> 1/(3^2)-> 1/9
PLEASE MARK BRAINIEST IF THIS HELPED!!!
Answer:
1 /91327Step-by-step explanation:
Concept:
Here, we need to know the idea of exponents.
The exponent of a number says how many times to use the number in a multiplication.
When the exponent is positive, just multiply the base number by the number of times the exponent states.For example: 5² = 5 × 5 = 25When the exponent is negative, turn to the reciprocal of the base number, then multiply the base number by the number of times the exponent states as the denominator.For example: 6⁻² = 1 / 6² = 1 / (6 × 6) = 1/36Any number to the 0th power, it is equal to 1.
Solve:
Question 1. What is the value of 3⁻²?
The exponent ⁻² on 3² is negative3⁻² = 1 / 3² = 1 / (3 × 3) = 1/9Question 2. What is the value of 3⁰?
The exponent of 3⁰ is 03⁰ = 1Question 3. What is the value of 3¹?
The exponent of 3¹ is positive3¹ = 3Question 4. What is the value of 3³?
The exponent of 3³ is positive3³ = 3 × 3 × 3 = 27Hope this helps!! :)
Please let me know if you have any questions
solve
(a) 32x + 1 = 92x - 1
Answers
Answer:
30 is your answer
Step-by-step explanation:
32x + 1 = 92x - 1
+1+1=92x-32x
2=60x
x=60÷2
x=30
what is the volume of the cylinder
Answers
Answer:
B
Step-by-step explanation:
Volume of the figure = Volume of cylinder + Volume of cone
Note: A cone having the same radius and height as cylinder have a volume (1/3) of cylinder
Volume of cone=(1/3)*96=32
Volume of the figure = 32+96=128
Which best describes the transformation that occurs from the graph of f(x) = x2 to g(x) = (x 3)2 4?left 3, up 4right 3, down 4left 3, down 4right 3, up 4
Answers
Answer:
Right 3, Down 4
Step-by-step explanation:
Given
[tex]f(x) = x^2[/tex]
[tex]g(x) = (x + 3)^2 - 4[/tex]
Required
The transformation from f(x) to g(x)
When a function is translated up by h units, the rule is:
[tex](x,y) \to (x + h,y)[/tex]
So, we have:
[tex]f'(x) = (x + h)^2[/tex]
By comparison, h = 3. So:
[tex]f'(x) = (x + 3)^2[/tex]
When a function is translated down by h units, the rule is:
[tex](x,y) \to (x,y - h)[/tex]
So, we have:
[tex]g(x) = f'(x) -h[/tex]
By comparison, h = 4. So:
[tex]g(x) = (x + 3)^2 - 4[/tex]
Hence, the transformation is: 3 units right and 4 units down
Which descriptions can describe more than one triangle? Select two options.
• side lengths of 6 ft, 8ft, and 10 ft
• angle measurements of 350, 350, and 110°
• angle measurements of 30°, 40°, and 50°
• angle measurements of 40°, 60°, and 80°
• side lengths of 4 cm, 6 cm, and 9 cm
Answers
Answer:
angle measurements of 35, 35, and 110°
angle measurements of 40°, 60°, and 80°
Have a nice day! :)
Please answer this!!
Answers
Answer:
C, 5/12
Step-by-step explanation:
The tangent of an angle is defined as the side opposite to that angle divided by the side adjacent to that angle. The tangent of angle A would be equal to the value of side BC divided by side AB. The value of side BC is 5, and the value of side AB is 12. The answer is 5/12.
Answer: ∠A=[tex]\frac{5}{12}[/tex]
Step-by-step explanation:
Tangent is opposite over adjacent.
One angle of a rhombus measures 108°, and the shorter diagonal is 9 inches long. Approximately how long is the side of the rhombus?
Answers
Answer:
8 inches
Step-by-step explanation:
A rhombus is a four sides quadrilateral with the four sides equal in length
A rhombus has 4 equal sides and the diagonal bisect at right angles
Adjacent sides = 9/2 = 4.5
we are to determine the value of the hypotenuse given the adjacent side and angle (108/2) = 54
Cos 54 = adjacent / hypotenuse
0.58778 = 4.5 / hypotenuse
hypotenuse = 4.5 / 0.58778
=7.6559
= 8 inches
Ron Caruso works as an insurance agent
and receives a commission of 40% of the
first year's premium. Find Ron's
commission for selling a life insurance
policy with a first-year premium of
$1,050.
Answers
Answer: $420
Step-by-step explanation:
40% of 1st year commission
1st year commission is $1050
40% x 1050 = .40 x 1050 = 420
$420
Michael has a project due in exactly 83 hours. It is currently 8:30 on a Monday morning. What time is his project due
Answers
Answer: it wll be thursday at 7:30PM
Christina buys 3 DVDs . 2 of the DVDs cost X+Y . Write an expression that shows the amount the 3 DVDs cost
Answers
Answer:
3/2(x+y)
Step-by-step explanation:
The cost of 2 DVD is x+y
Divide by 2 to get the cost of one DVD
(x+y) /2
Multiply by 3 to get the cost of 3
3/2(x+y)
Answer:
= 3(x + y)/2
Step-by-step explanation:
Cost of two DVD's is shown as :-
= x + y
If we divide by 2 we'll get the cost of each DVD
= (x + y)/2
Then, multiplying by 3 gives us the total amount.
= 3(x + y)/2
Find the area of the following triangle. Round your answer to the nearest tenth.
Answers
Answer:
45.0
Step-by-step explanation:
you are going to multiple them you are going to have 45 then to the nearest tenth which is 45.0
= 1/2(9)(5)sin(107 °)
= 21.5
Area for right-angled triangle use : A=1/2bh
The ratio of carbon-14 to carbon-12 in a piece of wood discovered in a cave is R = 1/917. Estimate the age of the piece of wood
Answers
Answer:
The answer is "[tex]\bold{6.6 \times 10^{12}\ years}[/tex]"
Step-by-step explanation:
Let the given value is:
[tex]R=\frac{1}{9^{17}}\\\\\to \frac{N_{c_{14}}}{N_{c_{12}}}=\frac{1}{9^{17}}\\\\\to t=\frac{2.303 \times 9^{17}}{5717}=6.6\times 10^{12}\ years[/tex]
Find the length of the segment indicated. Round to the nearest tenth
Answers
Answer:
x=5
Step-by-step explanation:
x is the length of the line segment from the center to the boderline of circle. So x=5
