Answer:
The area of this sector is 224*pi cm² or approximately 703.72 cm²
Step-by-step explanation:
In order to calculate the area of a sector for which we have an angle in radians, we need to apply a rule of three in such a way that pi*r² is related to 2*pi radians in the same proportion as the given angle is related to the area of the sector we want to find. This is shown below:
2*pi rad -> pi*r² unit²
angle rad -> sector area unit²
2*pi / angle = pi*r² / (sector area)
2*pi*(sector area) = pi*r²*angle
sector area = [pi*r²*angle]/2*pi
sector area = r²*angle/2 unit²
Applying the data from the problem, we have:
sector area = [(16)²*(7*pi/4)]/2 = [256*(7*pi/4)]/2 = 64*7*pi/2 = 32*7*pi = 224*pi
sector area = 224*pi cm²
sector area = 703.72 cm²
A circular rug has the radius of 4 feet. Which of the following is closest to the number of square inches the rug covers.
A. 55.26 ft2
B. 50.24 ft2
C. 29.7 ft2
D. 33.6 ft2
Answer:
B. 50.24ft
Step-by-step explanation:
A=(pie)r^2
A=3.14(4)^2
A=3.14 * 16
A=50.27
Closest to 50.24
Prodigy math i will mark you brainliest if you get it right
Answer:
8 and 2/8
Step-by-step explanation:
3 and 2/8 times 2 is 6 and 4/8 then u subtract that from 14 and 6/8
Answer:
1 is 18, and 2 is 36 brainliest
Step-by-step explanation:
Help meeee!!! Whats x
Answer:
74°
Step-by-step explanation:
The angle on a line = 180°
therefore:.
x + 106° = 180°
x = 180° - 106°
x = 74°
Answer: 74 degrees.
Step-by-step explanation:
Angles on the same side of a line add to 180.
The angle measure of 106 and the angle measure of x lie on the same side of the line WZ, so you can add them both to get 180:
106 + x = 180
x = 74
Luke bought three canvas boxes to store his papers. The canvas boxes have dimensions of 12 inches by 10 inches by 12 inches. What volume of itmes can be the three canva boxes hold?
Given Information:
Number of boxes = 3
Length of boxes = L = 12 inches
Width of boxes = W = 10 inches
Height of boxes = H = 12 inches
Required Information:
Volume of items boxes can hold = ?
Answer:
[tex]Volume = 4320 \: in^{3}[/tex]
Step-by-step explanation:
We are given that Luke bought 3 canvas boxes to store his papers.
We are also provided the dimensions of boxes.
We are asked to find out the volume of items that can be stored by these 3 canva boxes.
A canva box has shape of a rectangular prism and its volume is given by
[tex]Volume = L \times W \times H[/tex]
Where L is the length of the box, W is the width, and H is the height of box.
[tex]Volume = 12 \times 10 \times 12 \\\\Volume = 1440 \: in^{3}[/tex]
So the volume of 3 boxes is
[tex]Volume = 3\times 1440 \\\\Volume = 4320 \: in^{3}[/tex]
Therefore, the 3 canva boxes can store 4320 cubic inches of volume.
Answer:
D) 4,320
Step-by-step explanation:
You are part of a football team there are three possible outcomes for each match: win, lose or draw. What is the probability of winning the next two matches in a row? □ in □
Answer:
Probabilty of winning the next two matches in a row = 1/9
Step-by-step explanation:
The total number of possible outcome = 3
(Win, lose, draw)
The probability of obtaining a win in a single match = 1/3
The probability of winning in two rows is 1/3² = 1/9
How would you find the area of this?
NEED ANSWER ASAP
For the function
f(x) = |x|-2, find the value when x = -3
Answer:
1
Step-by-step explanation:
The absolute value of -3 is just 3, because it has a distance of 3 away from 0. Therefore, [tex]\mid -3 \mid -2=3-2=1[/tex]. Hope this helps!
Language arts test is worth 100 points there is a total of 26 question There are spelling words question that I wasn't points each in vocabulary words question worth five points each how much of each type of question are there
Answer: There are 10 two points and 16 five points questions.
Step-by-step explanation:
This is the detailed question:
A language arts test is worth 100 points. There are a total of 26 questions. There are spelling word questions that are worth 2 points each and vocabulary word questions worth 5 points each. How many of each type of question is there?
Let y = the number of 2 points questions
Let z = the number of 5 points questions
y + z = 26 ......... i
2y + 5z = 100 ........ ii
Multiply equation i by 2
Multiply equation ii by 1
2y + 2z = 52 ......... iii
2y + 5z = 100 ....... iv
Subtract iv from iii
-3z = -48
z = 48/3
z = 16
Since y + z = 26
y = 26 - 16
y = 10
y = 10 two points questions
z = 16 five points questions
There are 10 two points and 16 five points questions.
which quadrilateral always has diagonals that are congruent but not necessarily perpendicular?
a) parallelogram
b) rectangle
c) rhombus
d) square
Answer:its a rectangle
Step-by-step explanation:
Answer please ?
Thanks
Answer:
one solution ... hope this helps
Answer: One solution.
The reason why it is one solution is because you need to figure out the commonality between the two lines. What does this mean? Well, we need to figure out a solution that would prove a link between the two.
We see that there is a point of intersection, and no other points. This means there is only ONE link between the two; one solution.
NEW: The point of intersection could be labeled x. We need a number that satisfies both equations, so there should be only one solution to satisfy both-x.
You could prove this using an equation, but you can already tell by looking at it. If you would like, I'll help you figure out the equation, it may make more sense.
Hope this helps you out! Feel free to ask questions!
How many solutions does this equation have?
–8 + t = –t + 10
Answer:
One
Step-by-step explanation:
Since (1) is the highest exponent value, there can only be one solution.
IF t^2 then there would be two answers.
Answer:
One solution
Step-by-step explanation:
To find the amount of solutions, you must solve first:
-8 + t = -t + 10
First, add t to both sides:
-8 + 2t = 10
Add 8 to both sides:
2t = 18
Divide both sides by 2:
t = 9
Since there has been a solution to this equation, that means there's only one solution.
Solve for x in the following figure.
Answer:
x=80°
Step-by-step explanation:
supplementary angles equal 180°
∠J=80
80+x+20=180
100+x=180
x=80
find out three rational numbers lying between 2/3 and 3/4
PLEASE HELP........ NEED TO SUBMIT THIS NOW....
How Do I type a fraction on my computer and NOT the / sign
You can't
Unless you have a special type of key board, you can only represent fractions with /. This is for a reason however, / also means divided by and that's what you're doing when you write a fraction. You divide the numerator by the denominator.
Sorry I can't give the answer you're looking for
what’s the solution
Answer:
We need more info
Step-by-step explanation:.
hey can anyone pls help me out in dis pls i will mark u as brainliest!!!!! and i will give 30 points
Answer:
graph b because its a parabola
Step-by-step explanation:
Answer:
Graph B does not belong
Step-by-step explanation:
All the other graphs are linear inequalities, whereas graph B is a quadratic inequality. You can also tell by how they look. The straight lines are linear, and the symmetric curve (parabola) is a quadratic
What two whole number integers would the square root fall in between ?
√(44)
4 and 5
6 and 7
5 and 6
8 and 9
Answer:
It would fall between 6 and 7
Step-by-step explanation:
Baby is planning to put a square garden with an area of 200 square feet in her back yard estimate the length of each side of the garden to the nearest whole number
Answer:
The correct answer will be 14
Step-by-step explanation:
I am 100% sure!!! Hope this helps.
PLEASE GIVE BRAINIEST!!!
The requried measure of the length of the garden is given as 14.14 feet.
What is surface area?The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.
Here,
Baby is planning to put a square garden with an area of 200 square feet
Let the side length be x,
according to the question,
Area of the square = 200
x² = 200
x = 14.14 feet
Thus, the requried measure of the length of the garden is given as 14.14 feet.
Learn more about the surface area here: https://brainly.com/question/2835293
#SPJ2
1. In rectangle PQRS, PR = 20x - 16 and QS = x + 554. Find the value of x and the length of each diagonal.
Q
R
C. x = 30, PR = 584, QS = 584
А. x = 15, PR = 569, QS = 569
B. x = 30, PR = 292, OS = 292
You roll a number cube 20 times. Which scenario is least likely?
Answer:
you won't roll the same number 5 times
AWARDING BRAINLIEST! PLEASE HELP!!!
Answer:
Right triangle
Step-by-step explanation:
we are given three sides as 14 ft, 48 ft, and 50 ft
Firstly, we will verify for right angle
We know that any triangle is right angled when it satisfies Pythagoras theorem
We know that hypotenuse side value is always largest
so, hypotenuse=c=50
Let's assume other two sides as
a=14
b=48
now, we can use Pythagoras theorem formula
C²=a²+b²
we can plug values and we check whether left side is equal to right side
50²=14²+48²
2500=196+2304
2500=2500
we can see that left side is equal to right side
Since, it satisfies Pythagoras theorem
Therefore, Right triangle is the answer
Answer:
I believe, obtuse.
Step-by-step explanation:
You have one extremely small side, two long sides. If you put your hands together and logically measure the 14 length side, you'd realize it is obtuse. I have no mathematical evidence.
plz help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
88 inches
Step-by-step explanation:
The given bicycle has a tyre that is 28 inches in diameter.
How far the bicycle moves forward each time the wheel goes around is the circumference of the bicycle tyre.
This is calculated using the formula:
C =\pi \: d
We substitute the diameter and
\pi = \frac{22}{7}
C = \frac{22}{7} \times 28
This simplifies to
C =22 \times 4
88 \: inches
Consider circle A in the diagram below where the m∠DCG=25∘ and mCF^=60∘ and prove that m∠EDF=55∘.
Given that m∠DCG=25∘, this angle intercepts arc DG^ which makes mDG^=_, this means that mED^=130∘ as EG^ is a diameter.
∠CED intercepts CFD^, which makes m∠CED=_.
∠ECD intercepts ED^ which makes m∠ECD=_.
∠CDF intercepts CF^ which is 60∘, making m∠CDF=30∘. Using the triangle sum theorem, m∠EDC=_, and using Angle addition postulate the m∠EDF=55∘.
Answer:
50, 90, 65, 25
Step-by-step explanation:
I dont know how to get to it that is why I searched it up :/
The ratio of men to women is 5 to 8. If there are 286 employees total how many women work for the company ??
Please answer
Answer:
There are 176 women in the company.
Step-by-step explanation:
Let number of men are 5x and number of women are 8x.
Total number of employees in the company are 286.
But according to given condition, total no of employees are :
[tex]5x+8x = 286\\\\13x=286\\\\x=\dfrac{286}{13}\\\\x=22[/tex]
Total no of women are 8x. It means [tex]22\times 8=176[/tex]. Hence, there are 176 women in the company.
A school dedicated 50% of the courtyard area for students to start a garden. The students want to know how much of the 632-square-foot space they will be able to use.
Answer:70
Step-by-step explanation:
Answer:
this is SUPER late but it is 1/2 x 632
Step-by-step explanation:
3. The measure of each inscribed
angle is equal to( )times the
measure of the intercepted arc.
a. 1/2
b. 1
c. 2
Answer: A. 1/2
Step-by-step explanation:
20:12 in simplest ratios
Answer:
5: 3
Step-by-step explanation:
20:12
Divide each side by 4
20/4:12/4
5: 3
Answer:
5:3
Step-by-step explanation:
Simplify 20 and 12 until they cannot be divided as a whole anymore.
20=10=5
12=6=3
Today, there were 2 members absent from the band. The present members folded 25 programs each, for a total of 525 programs. How many members are in the band when no one is absent…
Answer:
23
Step-by-step explanation:
225/25 = 21
21+2=23
Answer:
How many members are in the band when no one is absent?
the answer is c if you are refering to the khan academy question
Step-by-step explanation:
its from khan academy
Phoebe built the sandbox below for her younger sister.
2 feet
4 feet
5 feet
What is the volume of the sandbox?
Answer: 40 feet
Step-by-step explanation: Volume = length * width * height
then substitute Volume = 2 * 4 * 5
multiply Volume = 8 * 5
multiply again Volume = 40
hope this helps mark me brainliest if it did have a great day
whats the circumference of a circle with a radius of 21 meters
Answer:
C =131.88 meters
Step-by-step explanation:
The circumference of a circle is given by
C = 2*pi*r
where r is the radius
C = 2 * pi * 21
C = 42 pi
If we approximate pi by 3.14
C = 42(3.14)
C =131.88 meters
Answer:
131.88 m^2
Step-by-step explanation:
Circumference formula: 2pi × radius
2 × 3.14 = 6.28
6.28 × 21 = 131.88
