The length of an arc is the distance between the endpoints of the arc.
The central angle is: [tex]\mathbf{4.75\ rad}[/tex] or [tex]\mathbf{272.16^o}[/tex]
The given parameters are:
[tex]\mathbf{l = 19yd}[/tex] --- length of the arc
[tex]\mathbf{r = 4}[/tex] -- radius of the circle
The length of an arc is calculated as:
[tex]\mathbf{l =r\theta}[/tex]
Divide both sides by r
[tex]\mathbf{\theta = \frac lr}[/tex]
Substitute known values
[tex]\mathbf{\theta = \frac{19}4}[/tex]
[tex]\mathbf{\theta = 4.75\ radians}[/tex]
Convert to degrees as follows:
[tex]\mathbf{\theta = 4.75 \times \frac{180}{\pi}}[/tex]
[tex]\mathbf{\theta = 4.75 \times \frac{180}{3.142}}[/tex]
[tex]\mathbf{\theta = 272.16^o}[/tex]
Hence, the central angle is: [tex]\mathbf{4.75\ rad}[/tex] or [tex]\mathbf{272.16^o}[/tex]
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If y = x + 5 and x = 3, then y = what?
y=8
Step-by-step explanation:
y=x+5 x=3
y=3+5
therefore
y=8
can some please helppp
Answer:
8
Step-by-step explanation:
At Grab & Go Grocery, you can buy 4 yogurt cups for $5. If the unit price stays the same, how much would it cost to buy 10 yogurt cups?
Answer:
12.50
Step-by-step explanation:
Each yogurt is $1.25. 1.25 x 4 = 5. so 1.25 x 10 = 12.50.
determine the values of X for which g(x) is defined
this is a question from me to you not an answer sorry what class are you taking
And I also don’t know how to do this.
C is the answer because i did this and it not that hard if you let the teacher explain to u
The diagram shows an isosceles right
triangle. Follow these steps to explore the
relationship between side lengths.
m2 ABC = 45°
MZ ACB = 45°
1. Measure the length of each leg and
the hypotenuse:
AB =
units
AC =
units
BC =
units
B
C
A
III
IIIIIIIIIIIIIIIII
Answer:1. 1.0 1.0 1.4
Step-by-step explanation:
The length of the sides are given by the 45°–45°–90° triangle theorem.
Correct responses:
AB = 1AC = 1BC = √2 Methods used to find the lengthsThe 45°–45°–90° triangle theorem states that the ratio of the lengths of
the sides of triangles having interior angles of 45°, 45°, 90° is 1 : 1 : √2
The lengths of the legs of an isosceles triangle are equal.
The legs of the given isosceles right triangle are AB and AC
Therefore;
AB = AC
Taking the lengths of AB as 1 unit, we have;
AB = 1 = AC
According to Pythagorean theorem, we have;
[tex]\overline{BC}^2 = \mathbf{\overline{AB}^2 + \overline{AC}^2}[/tex]
Which gives;
[tex]\overline{BC}^2 = 1^2 + 1^2 = \mathbf{ 2}[/tex]
Therefore;
BC = √2
Therefore, by setting the length of AB = AC = 1, we have;
AB = 1AC = 1BC = √2 ≈ 1.414The above values are in the ratio 1 : 1 : √2, which corresponds with the
45°-45°-90° triangle theorem.
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please help due in 10 mins.
Tides are measured by the heights of the tide above or below sea level. The difference between the two heights represents how much greater the high tide is than the low tide. The table shows the high and low tides and the difference between their heights at each of three locations. Some of the data in the table are missing. Use this information for the problem below.
Answer: Location A: 6.04, since a negative and a negative is a positive. 6.04--1.08=7.12
Location C: 6.9
7.34-0.44=6.9
Step-by-step explanation:
Difference between high tide and low tide at location C is equal to 6.9 and high tide at location A is equal to 6.04
What is high tide and low tide ?Tides originate in the oceans and progress toward the coastlines where they appear as the regular rise and fall of the sea surface. When the highest part, or crest of the wave reaches a particular location, high tide occurs; low tide corresponds to the lowest part of the wave, or its trough.
Given here Difference between high tides and low tides = high tide - low tide
= HT - LT . . . . . . . (1)
thus, Difference between high tide and low tide at location C is = 7.34 -0.44
= 6.9
And high tide at location A is = (Difference between HT & LT) + LT (from eqn 1)
= 7.12 + ( -1.08)
= 6.04
Hence, Difference between high tide and low tide at location C is equal to 6.9 and high tide at location A is equal to 6.04
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#SPJ2
HURRYY
what are vertical angles
Answer:
angles on a straight line
Step-by-step explanation:
Answer:
477
Step-by-step explanation:
it would aditionuuiiiiiiiiiiijhjhhjj
determine this systems of equations no solution, one solution, infinitely many solutions
y=5x-20
4x+12=y
Answer:
one solution
Step-by-step explanation:
worth 10 points ! need help asap
Which shows the given inequalities in slope-intercept
form?
Answer:
second option
Step-by-step explanation:
You want to isolate the 'y' in each inequality:
4x - 5y ≤ 1
-5y ≤ -4x + 1
y ≥ 4/5x - 1/5 (inequality symbol changed because we divided by a negative)
1/2y - x ≤ 3
y - 2x ≤ 6 we multipled the original inequality by 2 to eliminate the denom.
y ≤ 2x + 6
Jessica is packing books for her move She has 93 books. Each box can fit 6 books. How many boxes does she need to move all of her books? (Long division please)
Answer:
16
Step-by-step explanation:
93:6=15.5 As the box can't be half so 16 boxes. In 15 she will pack in each 6 books and in other box 3 books
Answer:
She will need 16 boxes with space for 3 more books
Step-by-step explanation:
Write an equation of the line with a slope of -4 and a y-intercept of 2.
Answer:
Step-by-step explanation:
-4 x y-= 2
Please please help please please ASAP please
Answer:
14.52
Step-by-step explanation:
With reference angle 32°
perpendicular (p) = 9
base (b) = x
Now
Tan 32° = p / b
0.62 = 9 / x
x = 9 / 0.62
x = 14.52
HELP!
What is the surface area of this shape?
Answer:
253.5 meter squared
Step-by-step explanation:
Surface area of a cube is area of the base times 6: 6(a^2) where a is the length of the side.
6(6.5^2) = 253.5m
Select the correct text in the passage,
What is the opportunity cost in this scenario?
Mikael has saved $4,000 for his trip to Brazil. He has calculated that his total transportation expenses will be $1,000. The hotel will cost him
another $1,500. He will spend about $500 on food. He plans on spending the remaining $1,000 for sightseeing and buying souvenirs.
While booking his plane ticket
, he realizes that the price has gone up. His total transportation expenses will go up by $200. He realizes that he
cannot cancel his hotel reservation. He also doesn't want to go cheap on food. Finally, he decides to give up visiting the popular Ouro Preto
during his stay in Brazil
Reset
Next
mentum All rights reserved
Answer:
Sightseeing
Step-by-step explanation:
Brianna had 20$ but spent d dollars on ice cream. Write an expression to represent how much Brianna has after buying ice cream
Answer:
20-d=y
Step-by-step explanation:
What fraction is equivalent to -3/2
Answer:
8/12
Step-by-step explanation:
Hope it’s right
Please help please please help me please please
Answer:
8.88
Step-by-step explanation:
With reference angle 42°
hypotenuse (h) = 12
base (b) = x
Now
cos 42° = b / h
0.74 = x / 12
x = 0.74 * 12
x = 8.88
Answer:
the answer is 48 I think
Step-by-step explanation:
I did it by sub 90 and 42
How much money she owe her plz help
Part A:
Draw arrows on the graph below for RISE and RUN. *Remember to start at the left point.*
Part B: Find the slope of the line from the graph above. *Don't forget to simplify!*
Answer:
Option D
Step-by-step explanation:
A). From the graph attached,
Arrow AB represents the RISE and arrow BC represents the RUN.
B). RUN from point A to B (Horizontal distance) = 2 units
Rise from point A to B (Vertical distance) = -4 [Since, downwards arrow represents negative notation]
Slope of the line segment AB = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]
= [tex]\frac{-4}{2}[/tex]
= -2
Therefore, slope of the line = slope of the line segment AB = -2
Option D will be the correct option.
Which is the better deal?
Cheerios
12 oz. for $ 1.99
36 oz. for $2.59
48 oz. for $3.99
60 oz. $4.59
Answer:
36 oz
Step-by-step explanation:
Get the other options down to 12oz units for their price and then you can compare which one is the cheapest for 12oz.
12oz = $1.99
36oz/3 = 12oz so $2.59/3 = $ .86
48oz/4= 12oz so $3.99/4 = $1.00
60oz/5= 12oz so $4.59/5 = $ .92
So looking at the breakdown, the 36oz one is the cheapest because for that price for a third of it comes out to .86 cents.
6th grade math help me plzzzz
Answer:
-0.9
Step-by-step explanation:
First we have to distribute. -1 times t is -1t and -1 times 8 is -8. Now, our equation will look like this: -1t - 8 = -7.1
Next, we have to carry our -8 to the other side of the euqation. So, we have to plus 8 on both sides. -7.1 plus 8 is 0.9. Now, our equation will look like this,
-1t = 0.9.
Lastly, we have to divide -1 from both sides. 0.9 divided by -1 is -0.9. So therefore, t = -0.9.
can a triangle be made with side lengths of 1, 2, and 4 plsss
NO IT CANNOT BE MADE
Step-by-step explanation:
Since, The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
A number line going from negative 2 to positive 2 in increments of 1. There are 2 equal spaces between each number. The line contains negative 2, A, negative 1, B, 0, C, 1, D, 2.
Identify the location of each point on the number line.
1
2
is Point
.
−1
2
is Point
.
−11
2
is Point
.
11
2
is Point
.
Answer:
Step-by-step explanation:
Show by the use of Poisson brackets that for one-dimensional harmonic oscillator there is a constant of the motion u defined as
u(q,p,t)=ln(p+imωq)-iωt
Answer:
your answer will be A.
Step-by-step explanation:
A Number line going from negative 2 to positive 2 in increments
The inverse of f (x)=x^2-3 is?
Answer:
[tex]f^{-1}[/tex](x)=[tex]\sqrt{x+3}[/tex] , - [tex]\sqrt{x+3}[/tex]
Step-by-step explanation:
6th grade math help me plzzz :))
Answer:
75%
Step-by-step explanation:
So i know that 5$ = 25%
So if i go up 3 times i get 15$ so that means you do 25% x 3 to get 75%
The half-life of carbon-14 is 5,730 years. Suppose a fossil is found with 10 percent as much of its carbon-14 as compared to a living sample. How old is the fossil?
Answer:
19050 or some other number very close like 19039
Step-by-step explanation:
I took test and got this one right.
Answer:
the guys above :)
Step-by-step explanation:
give him brainliest if you have not :)
PLS RESPOND FAST!! What is the value of x in the diagram belo2v
A. 9
B. 8
C. 7
D. 6
Answer:
C
Step-by-step explanation:
The 2 triangles are similar (AA postulate ), thus the ratios of corresponding sides are equal, that is
[tex]\frac{14}{2}[/tex] = [tex]\frac{49}{x}[/tex] ( cross- multiply )
14x = 98 ( divide both sides by 14 )
x = 7 → C
34) Which temperature is colder? -16 degrees or -32 degrees
Answer:
-32 is colder
Answer:
-32 degrees? i believe so
Have A Wonderful Day !!
What is the value of x when 9( x - 9)= -11
Answer:
x = 70/9
Step-by-step explanation:
9x - 81 = -11
move it to the right
9x = -11 +81
calculate
9x = 70
divide both sides
x = 70/9