Answer:
b
Step-by-step explanation:
The arc length is, 720 ft.
How to find the relation between angle subtended by the arc, the radius and the arc length?[tex]2\pi^c = 360^\circ = \text{Full circumference}[/tex]
The superscript 'c' shows angle measured is in radians.
If radius of the circle is of r units, then:
[tex]1^c \: \rm covers \: \dfrac{circumference}{2\pi} = \dfrac{2\pi r}{2\pi} = r\\\\or\\\\\theta^c \: covers \:\:\: r \times \theta \: \rm \text{units of arc}[/tex]
Length of an arc is given by:
l = r Ф .....[1]
where r is the radius of the circle and Ф is the angle in radian.
From the given information;
In a circle with a radius 8 ft with an arc AB intercepted by a central angle of pi/4 radians.
r = 8 ft and radian pi/4
Substitute these values in [1] we have;
l = r Ф
l = 8 x pi/4 ft.
l = 4 pi
l = 4 x 180
l = 720 ft
therefore, the arc length is, 720 ft.
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Help me with this PLEASE!!!!
Answer:
Corresponding Parts of Congruent Triangles are Congruent.
ASA
Step-by-step explanation:
We know that <YPC and angle <YPX are congruent angles. They are both 90°.
Side YP is congruent to YP, so these sides are congruent in both triangles.
<XYP and <YPZ are congruent, because the perpendicular bisector cuts <XYZ in two equal parts.
ASA (Angle, Side, Angle)
If the first term is 6 and the conversation was 2, what is the seventh term of a geometric sequence? NO LINKS!!!!
A. 384
B. 2824
C. 192
D. 24
Answer:
A
Step-by-step explanation:
Assuming you mean common ratio is 2
The nth term of a geometric sequence is
[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]
where a₁ is the first term and r the common ratio
Here a₁ = 6 and r = 2 , then
a₇ = 6 × [tex]2^{6}[/tex] = 6 × 64 = 384 → A
I need someone to explain this step by step. I have a test very soon.
Answer:
So you are going to multiply what is in the parentheses by two it will become 6x + 4.This will be for the second statement box. And the next will be 6x=18 and that will be the subtraction property or equality. For the last it would be x=3 and that would be the division property of equality.
Step-by-step explanation:
Please help ASAP
The painting shown at the right has an area of 280 in2. What is the value of x?
(4x+5) in.
(Simplify your answer. Round the final answer to the nearest hundredth as needed. Round all intermediate values to the nearest hundredth as needed. Use a comma to
separate answers as needed.)
What is the value of 4.25÷17×122
Answer:
30.5
Step-by-step explanation:
4.25÷17×122
0.25×122
30.5
Answer:
30.5
Step-by-step explanation:
my math grade currently is a 96%. i get a 55% on a math test. the weight of the test is 50% of my grade. what would my grade be?
Answer:
h
Step-by-step explanation:
g
Y intercept and slope
Answer: A y-intercept is a point where the graph of a function or relation intersects the y-axis of the coordinate system.
Slope - A number that describes both direction and steepness of the line.
Step-by-step explanation: If a line intersects the y-axis at point 5 then its y-intercept will be c= 5. As we denote y-intercept with c.
The slope is denoted by m.
Discrete Mathematics
For each language L1 to L5, described below, you need to do the following:
• Create a regular expression that defines the language accurately.
The alphabet A = {a, b} will be used.
The languages are:
1. L1 which has exactly one a but any number of bs.
2. L2 which has an odd number of as and an even number of bs.
3. L3 which contains exactly two as or exactly two bs, although not necessarily adjacent.
4. L4 which has all the bs appearing before any of the as, or all the as appearing before any of the bs.
5. L5 where there can be any number of as but the number of bs must be even, although the bs do not have to be adjacent.
Note: ^ is for Start of the line, $ is for end of the line ,* means 0 or more, + means 1 or more, [ab] means either a or b and {} is for specific number of times, () is for grouping.
How to create regular expressions?A task in which it is necessary to create regular expressions to define five different languages. The alphabet used is A = {a, b}. The languages are:
L1, which has exactly one "a" but any number of "bs".
L2, which has an odd number of "as" and an even number of "bs".
L3, which contains exactly two "as" or exactly two "bs", although not necessarily adjacent.
L4, which has all "bs" appearing before any "a" or all "as" appearing before any "b".
L5, where there can be any number of "as", but the number of "bs" must be even, although the "bs" need not be adjacent.
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Is (7, 9) a solution of y > 2x − 5?
HELP
Answer:
no
Step-by-step explanation:
y > 2x - 5
9 > 2(7) - 5
9 > 14 - 5
9 > 9. not a solution
9=9
(36)^-2 x (9)^-2 i need help
Answer: 1/104976
Step-by-step explanation:
You can get rid of negative exponents by flipping the number. So in this case, the expression would change to: 1/(36)^2 x (9)^2.
From there, simplify the expression. 36 squared is 1296. 9 squared is 81. Multiply those together to get 104,976.
1/104976 is your answer!
how old is the ressinace ?
Answer:
The renaissance took place in the 14th all the way to the 17th century.
Step-by-step explanation:
Find the areas of the triangles.
Answer:
here,base=16*3+7/16
=55/16
=3.43
height =5*1+3/5
=8/5
=1.6
now use formula h*b/2
=3.43*1.6/2
=5.48/2
=2.74
Step-by-step explanation:
therefore area of triangle is 2.74
Ms. Hall withdrew $20 from her checking account twice a week. Her total withdrawal amount when she last checked was -$220. How many weeks has she been doing this for I want the answer and a detailed reason as to why u got that answer. first one to get it correct is brainly.
Answer:
5.5 (five and a half weeks)
Step-by-step explanation:
If she was withdrawing 20$ twice a week that means that she withdrew 40$ (20$x2) a week, and 220$ divided by 40$ is 5.5.
can y'all help me for math
Answer:
139 cm
Step-by-step explanation:
If he was 152 cm, and he grew 13 cm over the past year, he was 13 cm less than what ge is now. So, 152-13=139 cm. So, Jim was 139 cm a year ago
A copper sphere was moving at 40 m/s when it hit another object. This caused all of the KE to be converted into thermal energy for the copper sphere. If the specific heat capacity of copper is 387 J/(kg ⋅ C°), what was the increase in temperature? (2 points)
Group of answer choices
0.23 C°
0.81 C°
1.3 C°
2.1 C°
Answer:
Step-by-step explanation:
.b
i just answered that question
Write an equation that represents a discount of 18% on a retail price of $55. Let p represent the new price. f
PLEASE HELP
10 points
will mark brainliest!
Step-by-step explanation:
root 13
is the answer. give 5 star
A growing amusement park is able to sell 7 times as many tickets each year as it did the year before. If you list the number of tickets sold over time, what kind of sequence will you see?
tysm! :)
If you list the number of tickets sold over time, the kind of sequence which you would see include the following: B. geometric.
What is a geometric sequence?In Mathematics, a geometric sequence can be defined as a series of real and natural numbers that are calculated by multiplying the next number by the same number (common or constant ratio) each time.
How to calculate the nth term of a geometric sequence?In Mathematics, the nth term of a geometric sequence can be calculated by using this mathematical expression:
aₙ = a₁rⁿ⁻¹
Where:
aₙ represents the nth term of a geometric sequence.r represents the common ratio.a₁ represents the first term of a geometric sequence.Assuming the variable x represents the number of ticket sold previously (initial year) and it sold 7 times as many tickets each year as it did the year before, a mathematical expression which models this situation is given by geometric sequence:
x, 7x, 49x, 343x, .....
Check:
7/1 = 49/7 = 343/49 = 7 (proof).
Therefore, this is a geometric sequence.
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Complete Question:
A growing amusement park is able to sell 7 times as many tickets each year as it did the year before. If you list the number of tickets sold over time, what kind of sequence will you see?
arithmetic
geometric
both
neither
HELP WILL GIVE BRANLIEST!
Answer:
4 Units
Step-by-step explanation:
What property is,If 5x=25,then x=5
Answer:
can you just give me the brainliest.
the answer is in the attached document
Step-by-step explanation:
What is f×e where e={1,2,13} and f={44,8,2}?
Answer:
[tex]f\times e=\{(1,44),(1,8),(1,2),(2,44),(2,8),(2,2),(13,44),(13,8),(13,2)\}[/tex]
Step-by-step explanation:
The Cartesian Product of two sets is all pairs in which the first element of each pair comes from the first set, and the second element comes from the second set.
[tex]f\times e=\{(1,44),(1,8),(1,2),(2,44),(2,8),(2,2),(13,44),(13,8),(13,2)\}[/tex]
This was built using 1 from the first set paired with each number in the second set, then using 2 from the first set paired with each number in the second set, then 13 from the first set paired with each number in the second set.
Bad English! Good solution!
Me+You=?
wanna test our equation? ;3
Answer:
Okay, that was smooth-
Step-by-step explanation:
Use that when you ask someone out.
Which of the binomials below is a factor of this trinomial? x^2 + x - 30
The binomials which correctly represent the factors of the given trinomial; x² + x - 30 as required in the task content are; ( x - 5 ) and ( x + 6 ).
Which binomials correctly represents the factors of the given trinomial?As evident in the task content; the given trinomial whose binomial factors are to be determined is; x² + x - 30.
By factorisation; the given trinomial expression can be written as;
x² + 6x - 5x - 30
x ( x + 6 ) -5 ( x + 6 )
( x - 5 ) ( x + 6 )
On this note, the required binomials which are factors of the given trinomial expression are; ( x - 5 ) and ( x + 6 ).
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What is the sum of 6x+7 and 8x^2+5x-1
Answer:
8x² + 11x + 6
Step-by-step explanation:
6x + 7 + 8x² + 5x - 1 ← collect like terms
= 8x² + (6x + 5x) + (7 - 1)
= 8x² + 11x + 6
Find the LCM of the first five primes
Answer:
The first 5 prime numbers are 2, 3, 5, 7 and 11. Their LCM is 2310
HAVE A NICE DAY
WILL GIVE BRAINLST :)
Answer:
1) 2 & 6, 4 & 8, 1 & 5, 3 & 7
2) 3 & 6, 4 & 5
3) 1 & 8, 2 & 7
Answer:
1 - (1,5) (2,6) (4,8) (7,3)
2 - (3,6) (5,4)
3 - (1,8)(2,7)
Step-by-step explanation:
In the diagram below,
ZCAB≈ ZCDE. Solve for x. Round
your answer to the nearest tenth if
necessary.
14
A
D
X
с
18.7
E
9.3
B
Answer:14 a
Step-by-step explanation:
The explanation is that it is E
Aubree and Bo own competing taxicab companies. Both cab companies
charge a one-time pickup fee for every ride, as well as a charge for each mile
traveled. The equation y = 2.6x + 2.5 represents what Bo's company
charges. The table below represents what Aubree's company charges.
Aubree's Taxicab Company
Miles (x) Total Cost (y)
2
$7.50
4
$13.50
$19.50
$25.50
6
8
Use the dropdown menu and answer-blank below to
form a true statement.
Aubree's company charges $| less per mile than Bo's.
On solving the provided question we cans ay that - here in linear equation, y = 3 and x = -1/2
What is a linear equation?The algebraic equation y=mx+b is known as a linear equation. B is the y-intercept, and m is the slope. The previous sentence, where y and x are variables, is commonly referred to as a "linear equation in two variables." Bivariate linear equations are those that contain two variables in them. The linear equations 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3 are examples. When an equation has the formula y=mx+b, with m denoting the slope and b the y-intercept, it is referred to as being linear.
y = 2x + 1 - linear equation.
value of y;
[tex]x = 0\\y = 2(0) + 1\\y = 2 + 1\\y = 3[/tex]
value of x;
[tex]y = 0\\0 = 2x + 1\\2x = -1\\x = -1/2[/tex]
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the graph of linear f passes through the point 1 -9 and has a slope of -3 what is the zero of f
(A) 2
(B) 4
(C) -6
(D) -2
Answer:
(C) -6
Step-by-step explanation:
Given the following data;
Points on the graph (x1, y1) = (1, -9).
Mathematically, the equation of a straight line is given by the formula;
y = mx + c
Where;
m is the slope.
x and y are the points
c is the intercept.
To find the zero of the linear function f, we would use the following formula;
y - y1 = m(x - x1)
Substituting into the formula, we have;
y - (-9) = -3(x - 1)
y + 9 = -3x + 3
y = -3x + 3 - 9
y = -3x -6 = mx + c
Intercept (c) or zero of a function = -6
Two tourists start walking across the Golden Gate Bridge at the same time but from opposite
ends. One of the tourists is walking at a leisurely rate of 0.9 meters per second, and the other
is walking at a rate of 1.1 meters per second. Given that the bridge is 2,738 meters in length,
how long will it take for the tourists to meet?
minutes and
seconds
Answer:
The tourists will meet at the midpoint of the bridge, which is 2738/2 = 1369 meters from each end.
At their respective walking speeds, it will take the first tourist 1369/0.9 = 1521.67 seconds to reach the midpoint, and it will take the second tourist 1369/1.1 = 1242.73 seconds.
Therefore, it will take them a total of 1521.67 + 1242.73 = 2764.4 seconds to meet.
Since there are 60 seconds in a minute, the time in minutes is 2764.4 / 60 = 46.07 minutes.
Therefore, it will take the tourists 46 minutes and 0.4 seconds to meet.
Uday Tahlan