Answers
Answer:
Step-by-step explanation:
Measure of an inscribed angle intercepted by an arc is half of the measure of the arc.
From the picture attached,
m(∠A) = [tex]\frac{1}{2}m(\text{arc BD})[/tex]
= [tex]\frac{1}{2}[m(\text{BC})+m(\text{CD}][/tex]
= [tex]\frac{1}{2}[55^{\circ}+145^{\circ}][/tex]
= 100°
m(∠C) = [tex]\frac{1}{2}[(360^{\circ})-m(\text{arc BCD})][/tex]
= [tex]\frac{1}{2}(360^{\circ}-200^{\circ})[/tex]
= 80°
m(∠B) + m(∠D) = 180° [ABCD is cyclic quadrilateral]
115° + m(∠D) = 180°
m(∠D) = 65°
m(arc AC) = 2[m(∠D)]
m(arc AB) + m(arc BC) = 2(65°) [Since, m(arc AC) = m(arc AB) + m(arc BC)]
m(arc AB) + 55° = 130°
m(arc AB) = 75°
m(arc ADC) = 2(m∠B)
m(arc AD) + m(arc DC) = 2(115°)
m(arc AD) + 145° = 230°
m(arc AD) = 85°
Related Questions
Which set is of whole numbers but not natural numbers?
Answers
Step-by-step explanation:
The set of Natural numbers: {1, 2, 3, 4, 5, ...}
The set of Whole numbers: {0, 1, 2, 3, 4, 5, ...} ← it has the number 0
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Answers
Answer:
Option C, 832 units²
Step-by-step explanation:
l = 8
w = 7
h = 24
Surface area = 2(wl+hl+hw)
=2×(7×8+24×8+24×7)
=832 units²
Answer: YO ITS ANSWER C)832 UNITS[tex]^{2}[/tex] !!!!
Guys please help me with this question
Answers
Answer:
Step-by-step explanation:
[tex]\frac{g}{f} (x)=\frac{g(x)}{f(x)} \\=\frac{3x^2+x}{4x} \\=\frac{x(3x+1)}{4x} \\=\frac{3x+1}{4}[/tex]
What is the angle of C?
Answers
Answer:
50°
Step-by-step explanation:
65 + 65 +C = 180
130+C = 180
C = 180 - 130 = 50
Hi there!
[tex]\large\boxed{C = 50^o}[/tex]
A line contains an angle of 180°, so:
∠C = 180° - 65° - 65°
∠C = 180° - 130°
∠C = 50°
What is the exact value of the trigonometric expression?
tan (7π/4)
a) -√2/2
b)1
c)-1
d)√2/2
Answers
please help, will give brainliest!!!
Answers
Answer:
Find the domain by finding where the equation is defined.
Interval Notation:
(−∞,−4)∪(−4,7)∪(7,∞)
Set-Builder Notation:
{x|x≠−4,7}
Step-by-step explanation:
Answer:
all real numbers except x=-4 or x = 7
Step-by-step explanation:
The domain is the numbers that x can take
We have restrictions for this problem
the denominator cannot be zero
x^2 -3x-28 cannot be zero
(x-7)(x+4) ≠ 0
x-7≠0 x+4≠0
x≠7 x≠-4
Otherwise all real numbers are valid
10. What is the correct trigonometry ratio to solve for x?
х
52°
20
Answers
Step-by-step explanation:
tan y = opposite/adjacent
so, tan 52° = 20/x
Answer:
tan(52) = 20/x
Step-by-step explanation:
tan(x) = opposite leg / adjacent leg
tan(52) = 20/x
Each side of a pentagon is 10 cm greater than the previous side. If the perimeter of this pentagon is 500 cm, find the lengths of the sides.
Answers
Answer:
(I'll leave cm out to save space and time in the answer)
the perimeter is 500, there are 5 sides. so on average a side will be 100.
that's already the important key idea.
it's indeed 100 for the third side, the second will be 10 less, the fourth 10 more (making the 2and and the 4th side 200 in sum, and therefore still 100 on average).
repeat this for the 1. and 5. side and we get:
80
90
100
110
120
Today only, a sofa is being sold at a 72% discount. The sale price is 218.40.
What was the price yesterday?
Answers
Answer:
780
Step-by-step explanation:
Let x be the original price
x - x*72% is the new price
x - .72x = 218.40
.28x = 218.40
Divide each side by .28
.28x/.28 = 218.40/.28
x =780
Determine the period
Answers
Answer:
10
Step-by-step explanation:
acellus
The period of the given graph is 10.
Use the concept of a period of function defined as:
One full wave is set up in a medium for the length of time it takes a particle of that medium to complete one vibration or one wave period.
In the given wave,
X-axis represents time
The Y- axis represents the amplitude of the curve
As we can see,
The first peak of this graph is located at x = 1 and the second peak is at,
x = 13
Since the period is the time interval between two consecutive peaks in a graph.
In this case, the time interval is 10.
Hence,
The period of the given graph is 10.
To learn more about period of a graph visit:
https://brainly.com/question/12682398
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4. A prism has an area of cross-section of 89 cm². The volume of the prism is
4895 cm?. Find the height of the prism.
Answers
Answer:
55 cm
Step-by-step explanation:
height = 4895/89 = 55 cm
Tanui had 2 hectares of potatoes. He later added 1 more hectare of potatoes.What was the percentage increase of the area under potatoes
Answers
as 2/2 is 1 which means that 1 is half of 2. Half can also be written as 50%
Sarah wants to print copies of her artwork. At the local print shop, it costs her $1 to make 5 copies and $5 to make 25 copies. What is the constant of proportionality in this direct variation?
A. 1/5
B. 5
C. 1
D. 1/25
Answers
Answer:
1/5
Step-by-step explanation:
because multiply any different copies by 1/5 to get the cost of the print shop
write a function G whose graph represents a vertical stretch by a factor of two followed by a translation one unit up of
f (x) = x
Answers
G(x)=2x+1 , vertical stretch by 2 units and shifted 1 unit up
Given :
Original function f(x)=x
To find :
Function G whose graph is a vertical stretch by 2 and move one unit up
We use the given function to for vertical stretch and shifting up
for Vertical stretch multiply the factor by f(x)
f(x) becomes 2f(x)
so the function becomes 2x
[tex]f(x)=2f(x)=2x\\[/tex]
For moving up , we need to add the units at the end of the function
f(x)+1
2x+1
Hence, G(x)=2x+1
Learn more : /brainly.com/question/4521517
b - 8 = 9
---------------
Answers
Answer:
b-8=9
b=9+8
b=17
Step-by-step explanation:
hope it will help you mark me as a brilliant.
Answer:
b=17
Step-by-step explanation:
b-8=9
first isolate the variable by adding 8 to both sides
this gives us
b=17
I need help on #17 can someone please help me?
Answers
Answer:
t=2
Step-by-step explanation:
We are given the equation
h = -16t²+36t+1
Next, we are asked to find how long the ball was in the air (the time, in seconds) if Casey caught the ball 9 feet above the ground (9 feet is the height).
Therefore, as 9 is the height, we can plug that into our equation to get
9 = -16t²+36t+1
To make this a quadratic equation that is easy to factor, we can subtract 9 from both sides to get
-16t²+36t-8=0
To factor this, we need to find two values that add up to 36 and multiply to (-16)*(-8) = 128. With a little guess and check, I found the numbers 32 and 4 to work well. We can then make the equation
-16t²+32t+4t-8=0
-16t(t-2) + 4(t-2) = 0
(-16t+4)(t-2) = 0
Therefore, to solve for the equation being 0, or 9 = -16t²+36t+1, either (t-2) or (-16t+4) must equal 0
t-2 = 0
t=2
-16t+4 = 0
-16t = -4
t = 1/4
Therefore, t=1/4 and/or t=2. To figure out which one it is (or both!), we can take into account that the question states "on its way down". This means that the ball goes up and then down, and we want to find t when it is going down. Using the knowledge that a ball that is hit goes up and then down, as well as that -16t²+36t-8=0 is a quadratic equation with 2 solutions, we can say that the higher value of t (t=2) represents when the ball is going down
write the expression fourteen added to the product of seven and a number
Answers
Answer:
(7×x)+14
Step-by-step explanation: Because we have 14 added to something, we will need a + to whatever we are adding to. The product of 7 and a number is 7×x because product is the number you get after multiplication. So we get 7×x+14. You dont need parenthesis
Hope this helps!
What is the 100th term of the arithmetic sequence below?
4, 11, 18, 25
Answers
Answer:
a₁₀₀ = 697
Step-by-step explanation:
The nth term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 4 and d = a₂ - a₁ = 11 - 4 = 7 , then
a₁₀₀ = 4 + (99 × 7) = 4 + 693 = 697
PLEASE HELP ME WITH THIS !!!
Answers
9514 1404 393
Answer:
(x -2)^2/16 +(y +2)^2/4 = 1
Step-by-step explanation:
The equation of an ellipse is ...
((x -h)/a)^2 +((y -k)/b)^2 = 1
where (h, k) is the center, and 'a' and 'b' are the semi-axes in the x- and y-directions respectively.
Here, we have (h, k) = (2, -2), and a=6-2 = 4, b = 0-(-2) = 2. Then the equation is ...
((x -2)/4)^2 +((y +2)/2)^2 = 1
More conventionally, the denominators are multiplied out, so this is ...
(x -2)^2/16 +(y +2)^2/4 = 1
Find the slope of the line that passes through (26, 15) and (1, 86).
Answers
Answer:
-71/25
Step-by-step explanation:
We can use the slope formula when given two points
m = (y2-y1)/(x2-x1)
m = (86-15)/(1 -26)
= 71/-25
= -71/25
Answer:
[tex]\displaystyle m = \frac{-71}{25}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Slope Formula: [tex]\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]Step-by-step explanation:
Step 1: Define
Identify
Point (26, 15)
Point (1, 86)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m = \frac{86 - 15}{1 - 26}[/tex]Subtract: [tex]\displaystyle m = \frac{71}{-25}[/tex]1: solve 2/5×1/3-3/7×5/9+2/5×1/8
2:2x-3=x+2
plesswe
Answers
2. x = 5
If z is a standard normal variable, find the probability.
The probability that z lies between -1.10 and -0.36.
0.2239
-0.2237
0.2237
0.4951
Answers
Answer:
Step-by-step explanation:
We are looking for the probability that (-1.10 < z < -.36)
The z score for -1.10 = .13567 and
the z score for -.36 = .35942
To find the probability that z will fall in between them, subtract the smaller from the larger to get .2237, or 22.37%
can any one explain how to look for d direction of a vector .
Answers
Answer:
The direction of a vector is the measure of the angle it makes with a horizontal line . tanθ=y2 − y1x2 − x1 , where (x1,y1) is the initial point and (x2,y2) is the terminal point. Example 2: Find the direction of the vector →PQ whose initial point P is at (2,3) and end point is at Q is at (5,8)
Na função y = x² - 2x +1, temos que a = 1, b = -2 e c = 1, calcule as coordenadas do vértice da parábola
Answers
Answer:
(1, 0)
Step-by-step explanation:
x = -b / 2a
x = 2 / 2(1)
x = 2 / 2
x = 1
y = x^2 - 2x + 1
y = (1)^2 - 2(1) + 1
y = 1 - 2 + 1
y = -1 + 1
y = 0
vértice: (1, 0)
Rachel covered a single lap of 1,210 m in 55 s. Calculate her speed in m/s
Answers
Answer:
22 m/s
Step-by-step explanation:
Take the distance and divide by the time
1210 m/55s
22 m/s
Answer:
22m/sStep-by-step explanation:
[tex]speed = \frac{distantce}{time} \\ = \frac{1210m}{55s} \\ = 22m {s}^{ - 1} [/tex]
A sandwich shop offers a choice of 5 types of bread, 4 types of meat, and 3 types of cheese. How many different sandwiches could be made with 1 type of bread, 1 type of meat, and 1 type of cheese?
Answers
Answer:
12 type of bread 1 type of meat, 1 type of cheese and 1 type of bread.☺️☺️
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Suppose you obtain a five-year lease for a Porsche and negotiate a selling price of $146,000. The annual interest rate is 8.4%, the residual value is $75,000, and you make a down payment of $3000. Find each of the following.
A.) The net capitalized cost.
B.) The money factor. (Rounded to four decimal places)
C.) The average monthly finance charge. (Rounded to the nearest cent).
D.) The average monthly depreciation. (Rounded to the nearest cent.)
E.) The monthly lease payment. (Rounded to the nearest cent.)
Answers
Answer:
Look down below
Step-by-step explanation:
A.)Net capitalized cost=146,000-3000= $143,000
Net capitalized cost = 143,000
B.)Money factor=8.4/100 over 24=0.084/24=0.0035
Money Factor= 0.0035
C.)Average monthly finance charge= (143,000+75,000)x 0.0035= 218,000 x 0.0035=$763
Average Monthly Finance Charge= $763
D.)Average monthly depreciation= 143,000-75000/5 x 12=68000/60=$1133.33
Average monthly deprecation= $1133.33
E.)monthly lease payment=1133.33/5= $226.66
Monthly lease payment= $226.66
I need help with this question
Answers
Answer:
m
Step-by-step explanation:
Divide. Write your answer as a fraction in simplest form. − 1/5÷20=
Answers
Answer:
-0.01
Step-by-step explanation:
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Answer:
-0.01
Step-by-step explanation:
Which of the following angles is in standard position?
Answers
Answer:
C)
Step-by-step explanation:
Standard position for an angle means that the initial side is the positive x-axis.
Answer: C)
Answer:
C
Step-by-step explanation:
Angles in standard position have a vertex at the origin and one ray is on the positive x axis
