Answer:
The radian measure of the central angle of the given circle is [tex]\frac{7}{19} rad[/tex]
Step-by-step explanation:
The radian measure of the central angle θ of a circle of radius r that intercepts an arc of length s can be calculated from the formula given below
s =rθ
where s is the length of arc
r is radius of the circle
and θ is the central angle in rad (radian)
From s = rθ, Then
θ = s / r
From the question,
Radius r = 19 feet
and Arc length s = 7 feet
Hence,
θ = s / r becomes
θ = 7 / 19
∴ θ [tex]= \frac{7}{19} rad[/tex]
This means the radian measure of the central angle of the given circle is [tex]\frac{7}{19} rad[/tex]
PLEASE HELP 20 Points and BRainliest Consider the function. f(x) = x2 + 3 Which answer pairs a possible domain restriction for f(x) and its corresponding impact on f–1(x)? A. f(x) domain: x ≥ 3 f–1(x) domain: x ≥ 3 B. f(x) domain: x ≥ 3 f–1(x) range: y ≥ 3 C. f(x) domain: x ≥ 0 f–1(x) domain: x ≥ 0 D.f(x) domain: x ≥ 0 f–1(x) range: y ≥ 0
Answer:
It’s domain
y>0
x>0
(so basically d)
Step-by-step explanation:
I got it right on a test
The perimeter of a rectangle is 28 cm and it’s length is 8cm .calculate the width
Answer:
The width is 16 cm
Step-by-step explanation:
The perimeter of a rectangle=28 cm
length=8cm
width=?
P=28
=L+W
=8+8=16
=6+6=12
=16+12
=28 cm
Therefore, the width is 6+6=16 cm
Hope it helps you!!
Answer: 12
Step-by-step explanation: the length is 8 cm so, times that by 2 because there are 2 lengths which makes it 16cm. Now you subtract 16 from the 28cm which is 12cm divide this by 2 because there are two widths this equals 6 cm
Therefore; our width is 6 cm
To check if this is right you can add all the values= 8+8+6+6= 28cm
NEED ANSWER ASAP!!!!! Find, to the nearest tenth, the area of the region that is inside the square and outside the circle. The circle has a diameter of 6 inches.
====================================================
Explanation:
See the diagram below. We're looking for the area of the shaded region in blue.
This is known as an inscribed circle since the circle is inside the square, touching each side at one point. This circle is as large as possible without spilling outside the square. Think of a balloon that has been inflated as much as possible to fill the room (it touches every wall at a tangent point).
The square has area s^2 = 6^2 = 6*6 = 36 square inches.
The circle has area pi*r^2 = pi*3^2 = 9pi square inches exactly. Note how I cut the diameter (6) in half to get the radius (3).
The blue shaded area is the difference of the square and circle areas, so we have 36 - 9pi as the exact area of the shaded region.
Using your calculator, you should find that 36-9pi = 7.72566611769187 approximately. I'm using my calculator's stored version of pi as opposed to something like pi = 3.14; but you may need to ask your teacher for clarification about what version of pi to use.
When rounding to the nearest tenth, we then get roughly 7.7 square inches as our final answer.
Subtract -5x^2-9x+8−5x
2
−9x+8 from -6x^2+5−6x
2
+5.
Answer:
−10x2+−18x+26
Step-by-step explanation:
Let's simplify step-by-step.
−5x2−9x+8−5x2−9x+8−−6x2+5−6x2+5
=−5x2+−9x+8+−5x2+−9x+8+6x2+5+−6x2+5
Combine Like Terms:
=−5x2+−9x+8+−5x2+−9x+8+6x2+5+−6x2+5
=(−5x2+−5x2+6x2+−6x2)+(−9x+−9x)+(8+8+5+5)
What country was Francis drake born and what was an accomplishment
Answer:
1. Francis drake birth place was in Tavistock, United Kingdom
2. we was famous by his talent of exploration and he was the guy who found British Empire and is one of the most renowned sea captains in the history of his nation.
If this helped please give me brainlest :)
Answer:
Francis Drake was born in the UK and he's a naval officer
Step-by-step explanation:
Drake is most famously known for his circumnavigation of the world in a single expedition, from 1577 to 1580, and was the first to complete the voyage as captain while leading the expedition throughout the entire circumnavigation. He discovered that Tierra del Fuego, the land south of the Magellan Strait, was not another continent as Europeans believed, but instead a group of islands. This meant that ships could sail between the Atlantic and Pacific oceans around the bottom of South America (later known as the Cape Horn route).
What did I do wrong, it says I'm wrong
Answer:
This is not a function.
Step-by-step explanation:
Note, that set A contains 3 elements that only map to 2 elements in set B. A function would require that each element of set A to match to only one element of set B.
Since set B contains an element with no mapping to an element in set A, this does not represent a function.
Which do you prefer: leaving √5 in radical form, or converting it to a decimal? Why? When would it be useful to use each?
Answer:
I prefer leaving the answer as √5 since it is a shorter form and exact form of the answer.
Here are reasons for leaving it as a radical form or a decimal approximation.
If you are looking for an exact answer, then you should leave it as √5. For example, if you are told a square has area 5 square units, then the exact length of the side is √5 units.
If √5 is the length of something that has to be made to that length, then you need an approximation. For example, if you are asked to make a square out of cardboard whose area is 5 square feet, then you need an approximation of √5 ft, such as 2.24 ft, so you can make each side of the cardboard square in the length of 2.24 ft.
We shall prefer to keep √5 in radical form, as it is an irrational number and will never give an exact value when converted to decimal form.
What are rational and irrational numbers?A rational number is any number that can be represented in the form p/q, where p and q are integers, q ≠ 0, and p, q are co-prime to each other, that is, they do not have any common factor except 1.
All terminating and non-terminating recurring decimals are rational numbers.
An irrational number is a real number that cannot be represented in the above form of a rational number.
All non-terminating non-recurring decimals are irrational numbers.
How do we solve the given question?We are asked, what would we prefer to do. Leave √5 in radical form or convert it into decimal form.
∵ √5 is an irrational number, we will never get a perfect value of it in decimal form, as irrational numbers are non-terminating non-recurring decimals. So, we shall prefer to keep √5 in the radical form.
Use of √5 in radical form: Gives the exact value in our calculations for equations.
Use of √5 = 2.236067977499........... in the decimal form: Used in trigonometry where we need to find the trigonometric ratio.
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A prism, whose area of cross-section is 55 cm, has a height of 21 cm. Find the
volume of the prism.
Step-by-step explanation:
volume = crossectional area×height
55×21= 1155cm³
How many fluid ounces are one quart
Answer:32
Step-by-step explanation:
Answer:
just look it up it says 32 fluid ounces in one quart
A submarine is 650 feet below sea level. If it descends 400 feet, which integer represents its new position?
If a submarine at -650 feet defends 400 more feet then integer that represents its new position will be; -1050 feet
What are integers numbers?Natural numbers are: 1, 2, 3, ....
Integer numbers are: ...., -2, -1, 0, 1, 2, ... (so it includes positive and negative natural number, and 0 )
Know that all natural numbers are integers, all integers are rational numbers. That means, natural numbers are not irrational.
Given that ;
The submarine is underwater. It’s position is 650 feet below sea level.
It rises in the water 400 feet and then descends 400 feet.
Since the submarine again came back to original position by covering the distance.
The integer will be;
-650+(-400)=-1050
Hence the integer representing the change in the Submarine’s position is -1050
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What combination of transformations is shown below?
A) reflection, then translation
B) rotation, then translation
C) reflection, then rotation
D) rotation, then reflection
Answer:
d)rotation then reflection
Step-by-step explanation:
Answer:
D) rotation, then reflection
8=1/2(x-2y)
Solve for x
Answer:
Step-by-step explanation:
1/2x - y = 8
1/2x = 8 + y
2(1/2x = 8 + y)
x = 16 + 2y
Name three collinear points
Collinear points are points that lie on the same straight line.
In the figure, we can see that points E, B, and F are all on the same straight line, meaning that they are three collinear points.
Hope this helps.
頑張って!
Which of the numbers shown are
rational?
I.
TT
II. ✓49
III. 0.287
IV. ✓9/16
V.25
F I only
G II and III only
HII, III and IV only
J II, III, IV and V only
Answer:
The correct option is J.II, III, IV and V only.
Step-by-step explanation:
A rational number are those numbers that can shown in a p/q form or as the ratio of two numbers.
The numbers that cannot be shown as the ratio of two numbers are known as irrational.
Consider each number at a time:
[tex]\sqrt{49} =7\equiv 7:1[/tex]
[tex]0.287=\frac{287}{1000}[/tex]
[tex]\sqrt{\frac{9}{16}}=\frac{3}{4}\equiv 3:4[/tex]
[tex]25\equiv 25:1[/tex]
Thus, the numbers that are rational are II, III, IV and V.
The correct option is J.
On average I sleep 7 hours and 45 minutes each day. Therefore, during one year I sleep for 7.45 x 365 = 2719.25 hours. Why is this calculation incorrect? And what is the correct answer?
Answer:
2830.6875 hours of sleep per year (7.45 should be 7.75)
Step-by-step explanation:
To find your average sleep per year, you need to covert avg hours per day, to days per year.
Note that 45 minutes is not equivalent to .45 hours, but actually .75 hours since there are only 60 minutes in an hour. ( 45 / 60 == .75 )
Simply, the amount of days per year is 365.25 (to account for leap years).
So perform this calculation:
(7.75 hrs / day ) * ( 365.25 days / year ) == 2830.6875 hrs / year
Meaning, on average you get 2830.6875 hours of sleep per year.
On a coordinate plane, the x-axis is labeled Minutes and the y-axis is labeled Distance (in blocks). Point A is (5, 8), point B is (10, 16), point C is (15, 24), point D is (24, 13). Jose has been keeping a record of the distance he bikes and the time it takes him. He travels at the same unit rate each time and plots the distances for particular times. Which point on the graph did Jose plot incorrectly if he is representing a proportional relationship?
Answer:
the answer is d
Step-by-step explanation:
have a great day
Answer:
D
Step-by-step explanation:
got it right on edge
Carlos has 4 1/2 gallons of paint. To paint a room that is 10 ft by 10 ft, he uses 34 gallon of paint. How many 10 ft by 10 ft rooms can Carlos paint? A. 4 1/3 rooms B. 4 2/3 rooms C. 6 rooms D. 9 rooms
Answer:
C. 6 rooms
Step-by-step explanation:
I think you means he uses 3/4 gallon for 1 room.
This is a division problem. Divide the amount of paint he has by the amount he uses to paint one room.
(4 1/2)/(3/4) = (9/2)/(3/4) = 9/2 * 4/3 = 36/6 = 6
Answer: 6 rooms
use the formula for the area of a trapezoid A=h(b1+b2/2), were area is A b1 and b2 are the length of the base and h is the hight of 15yd. and the bases of 14yd.and 26yd
Answer: 300 yards
Step-by-step explanation:
Since b1 is equal to 14 yds and b2 is equal to 26 yds we can plug that into the equation below (in the image).
b1 + b2 = 14 + 26 = 40 yards
Now that we have found (b1 + b2), you can multiply that by h (the height of the trapezoid) which is 15, so we get 40 x 15 = 600.
In a lot of area equations, you will have to divide by two like in the trapezoid equation. Divide our number (600) by 2, so we get 600 ÷ 2 = 300.
300 yds is your final answer.
Hope this helps!
How would you classify the following number?*
Their are 1,000 kids in one class 99 leave how many are left in one class?
Answer: 901 students are left
PLEASE HELP 15 POINTS + BRAINLIEST Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. midpoint - (-15,22) endpoint- (-8,15) Please help oh and heres the hint included (Let (x,y) be the unknown endpoint. Apply the midpoint formula, and solve the two equations for x and y.)
FIRST TO ANSWER CORECTLY IS BRAINLIEST
Answer:
end point ₂ of a segment X₂ = - 22 ; Y₂ = 29
Step-by-step explanation:
given;
midpoint = ( Mx = - 15 , My = 22 )
endpoint ₁ = ( X₁ = - 8 , Y₁ = 15 )
find the other endpoint ₂ ( X₂ , Y₂)
use the mid point formula to get the other endpoint:
Mx = ( X₁ + X₂ ) / 2 My = ( Y₁ + Y₂ ) / 2
- 15 = (-8 + X₂) / 2 22 = (15 + Y₂) / 2
-30 = - 8 + X₂ 44 = 15 + Y₂
X₂ = -22 Y₂ = 29
Answer:
So, the formula for finding the midpoint of a segment given the coordinates of its endpoints is: ((x 1 + x2)/2, (y 1 + y 2 )/2 {Average of the x coordinates, average of the y coordinates}. For this problem we know the coordinates of the midpoint along with one of the endpoints.
Step-by-step explanation:
Use the midpoint formula
M = ( (x1 + x2) / 2 , (y1 + y2) / 2 )
(9, 0) = ( (x1 + 12) / 2 , (y1 + 3) / 2)
Break up this formula into two equations.
(x1 + 12) / 2 = 9 and (y1 + 3) / 2 = 0
Solve for x1 and y1 from the equations.
Write and solve an equation that represents the following:
Thirty less than a number is equal to twelve.
Answer:
42-30=12
Step-by-step explanation:
add 30 and 12 because then you get the total that will let you subtract the 30 to get your answer of 12 which your equation is 42-30 equals 12
Evaluate the function for f(-3). Type the numerical answer in the blank.
https://lh3.googleusercontent.com/MYlHjX2khFVik8a7M-xLKGKbdOW-_SL_yHDSs1a0gLiNpeCTAbwwwO-ygfZv-BpzFIoB54Ole3xyg7I6N0XKezTaYqAfWv09EAX46N-ExGo5yECIoFQD1buec4tV=w310
Answer:
i think ‐13 might be the answer, i may be wrong too
Is it possible for a number to be both a whole number and an integer ? Why or why not ? Pls help this homework expires in midnight aug 27 2020
Answer:
All whole numbers are integers
Step-by-step explanation:
But at the same time not all integers are whole numbers. Integers can be positive or negative but whole numbers can not be.
need help with both of these please!! ASAP
x = 1
Answer:
[tex] m\angle XVW = 100\degree[/tex]
Step-by-step explanation:
In the first figure, FP is the bisector of [tex] \angle DFE[/tex]
[tex] \therefore m\angle 1 = m\angle 2\\
\therefore 44x + 1 = 46x - 1\\
\therefore 1 + 1 = 46x - 44x\\
\therefore 2 = 2x\\
\therefore \frac{2}{2} = x \\
\huge \red {\boxed {\therefore x = 1}} [/tex]
In the second figure, VP is the bisector of [tex] \angle XVW[/tex]
[tex] \therefore m\angle 1 = m\angle 2\\
\therefore 12x + 2 = 11x +6\\
\therefore 12x - 11x = 6 - 2\\
\therefore x = 4\\
\because m\angle XVW = m\angle1 + m\angle 2\\
\therefore m\angle XVW = 12x + 2 + 11x +6\\
\therefore m\angle XVW = 23x + 8\\
\therefore m\angle XVW = 23\times 4+ 8\\
\therefore m\angle XVW = 92+ 8\\
\huge \purple {\boxed {\therefore m\angle XVW = 100\degree}} \\
[/tex]
Solve the equation
h +0.9 = 5.1
A: h = 4.59
B: h = 4.2
C: h = 5.1
D: h = 6
Answer:
B. h=4.2
Step-by-step explanation:
h + 0.9 = 5.1
To get the h by itself, we can subtract 0.9 from both sides of the equation.
h = 4.2
This will leave us with h=4.2
Answer:
the answer is B
Step-by-step explanation:
h+0.9=5.1
4.2
+
0.9=5.1
The equation of a circle is shown below. What is its center and radius? (x - 5.3)^2 + (y + 3.3)^2=49. ANSWERS ATTACHED, 15 POINTS, will give Brainliest! Due in 2 hours!
Answer:
The center is ( 5.3, -3.3) and 7 is the radius
Step-by-step explanation:
We can write the equation of a circle as
( x-h)^2 + ( y-k)^2 = r^2
Where ( h,k) is the center and r is the radius
(x - 5.3)^2 + (y + 3.3)^2=49
(x - 5.3)^2 + (y - -3.3)^2=7^2
The center is ( 5.3, -3.3) and 7 is the radius
If two of these shapes are randomly chosen, one after the other without replacement, what is the probability that the first will be a triangle and the second will be a square?
Answer:
[tex]P(T\ n\ S) = \frac{1}{14}[/tex]
Step-by-step explanation:
*Missing Part of the Question*
4 stars
5 triangles
3 circles
3 squares
Required
Determine the probability of triangle being first then square being second
[tex]Total = 4 + 5 + 3 + 3[/tex]
[tex]Total = 15[/tex]
Represent the triangle with T and square with S
So, we're solving for P(T n S)
[tex]P(T\ n\ S) = P(T) * P(S)[/tex]
Solving for P(T)
[tex]P(T) = \frac{n(T)}{Total}[/tex]
[tex]P(T) = \frac{5}{15}[/tex]
Solving for P(S)
The question implies a probability without replacement;
Hence Total has now been reduced by 1
Total = 14
[tex]P(S) = \frac{n(S)}{Total}[/tex]
[tex]P(S) = \frac{3}{14}[/tex]
Recall that
[tex]P(T\ n\ S) = P(T) * P(S)[/tex]
[tex]P(T\ n\ S) = \frac{5}{15} * \frac{3}{14}[/tex]
[tex]P(T\ n\ S) = \frac{15}{15 * 14}[/tex]
[tex]P(T\ n\ S) = \frac{1}{14}[/tex]
Hence, the required probability is
[tex]P(T\ n\ S) = \frac{1}{14}[/tex]
Overlapping events are events that have at least one outcome in common.
True
False
Answer:
True
Step-by-step explanation:
Answer:
True!
good luck with your studies!
Which of the following is the surface area of the right cylinder below?
15
A. 225 units2
B. 540 units2
C. 240 units2
D. 252 units
Answer: 252pi units^2
Step-by-step explanation:
A p e x
The surface area of the given right cylinder is 252π square units. Therefore, option D is the correct answer.
What is total surface area of cylinder?The surface area of a cylinder refers to the total area that the cylinder's curved surface and circular bases cover. The total surface area of the cylinder includes the area of the 2 bases of the cylinder (each of which is in the shape of a circle) and the area of the curved surface.
Given that, the radius of a cylinder is 6 units and the height of a cylinder is 15 units.
We know that, the total surface area of a cylinder is 2πr(r + h).
Now, the surface area = 2×π×6(6+15)
= 2×π×6×21
= 252π square units
Therefore, option D is the correct answer.
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