Given:
Radius of the circle = 10 in
Central angle of the sector = 45 degrees
To find:
The area of the sector.
Solution:
Area of a sector is
[tex]A=\dfrac{\theta}{360^\circ}\pi r^2[/tex]
Where, [tex]\theta[/tex] is the central angle in degrees.
Putting r=10 and [tex]\theta=45^\circ[/tex], we get
[tex]A=\dfrac{45^\circ}{360^\circ}\pi (10)^2[/tex]
[tex]A=\dfrac{1}{8}\pi (100)[/tex]
[tex]A=12.5\pi[/tex]
Therefore, the area of the sector is 12.5π sq. inches.
Find the value of x.
.
10
7
Answer:
X = 12.21
Step-by-step explanation:
Since this is a right triangle, use the formula A^2 + B^2 = C^2 and plug in appropriate values.
(10)^2 + (7)^2 = C^2
100 + 49 = C^2
149 = C^2
12.2065 = C
Rounded to two decimal places, this makes X equal to 12.21.
The required value of x is 12.21 for the given right triangle.
What is the right triangle?A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.
Pythagoras's theorem states that in a right-angled triangle, the square of one side is equal to the sum of the squares of the other two sides.
Since this is a right triangle, use the formula A² + B² = C² and substitute appropriate values.
(10)² + (7)² = x²
100 + 49 = x²
149 = x²
x = √149
x = 12.2066
Rounded to two decimal places,
x = 12.21
Therefore, the required value of x is 12.21.
Learn more about Pythagoras's theorem here:
brainly.com/question/343682
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Which 2 number can be divided into 2.5 and 11.2
Answer:
2.5 would be 5 while 11.2 would be 22.4
pls I NEED HELP PLS HELP MEEE ILL MARK BRANLIEST
Explain a time when you see Pythagorean Theorem in real life. Explain the process you would use to analyze a situation and solve a problem involving the Pythagorean theorem. Be sure to write in complete sentences!
Answer:
Below
Step-by-step explanation:
In areas that require building, such as carpentry or architecture, the Pythagorean Theorem can be used to find unknown side lengths in order to determine the lengths of building material needed to complete the triangle- a shape often used in construction due to its more durable nature.
Answer:
The Pythagorean Theorem is useful for two-dimensional navigation. You can use it and two lengths to find the shortest distance. … The distances north and west will be the two legs of the triangle, and the shortest line connecting them will be the diagonal
Step-by-step explanation:
Determine whether the following statement is true or false. Then, use complete sentences to explain your answer. If you wish, you may include an example or counterexample.
All parallelograms are trapezoids.
Answer Yes because 2 sides are parallel
Step-by-step explanation:
pearson realize
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Answer:
The Answer should be 9
140-180=40
360÷40=9
Answer:
9
Step-by-step explanation:
size of each interior angle can be represented by: [tex]140^{o} = 180^{o}[/tex]•[tex]\frac{(n-2)}{n}[/tex]
solve for n:
[tex]140^{o} = 180^{o}[/tex]•[tex]\frac{(n-2)}{n}[/tex] multiply both sides by n
140ºn = 180º(n - 2) distribute 180º to (n - 2)
140ºn = 180ºn - 360º subtract 180ºn from both sides
-40ºn = -360 divide both sides by -40º
n = 9
Need Help! Solve for x
Answer:
x=19
Step-by-step explanation:
[tex]\frac{30}{x+5+30} =\frac{20}{36}[/tex]
700+20x=1080
20x=380
x=19
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Answer:
x=5
Step-by-step explanation:
Answer:
X = 5
Step-by-step explanation:
Which of these values could be the slope of the line?
Select two options.
-2
-8/5
0
7/4
3
Answer:
7/4 and 3
Step-by-step explanation:
Write 0.00658 standard form
In this linear equation what is the dependent variable y=2x+4
Answer: y
Step-by-step explanation:
The value of y is dependent on the x value. The x value can be anything you choose and is therefore independent of y.
Here are sketches of four triangles in each triangle the longest side is exactly 1cm the other length is given to 2 decimal places work out the value of x give your answer to 1 decimal place 4 cm 57°
If the hypotenuse is 4 cm and an angle is 57°. Then the measure of the length of the side x will be 3.36 cm.
What is a right-angle triangle?It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function. The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.
The right triangle is given with a hypotenuse of 4 cm and an angle of 57°.
Then the value of x will be
The value of x will be given by the sine rule.
sin θ = x/h
WE have
θ = 57°
h = 4 cm
Then we have
sin 57° = x/4
x = 3.3546
x ≅ 3.36
More about the right-angle triangle link is given below.
https://brainly.com/question/3770177
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(102-38) x 14+7+162=
Answer:
=64x^14+169
Step-by-step explanation:
happy to help ya :)
1.
In a zoo, there were 36 exhibits, but k exhibits were closed. Write the expression
for the number of ethibits that were open.
Answer:
x= 36 - k
Step-by-step explanation:
let X stand for the amount of exhibits open
36 is the total number of exhibits
K is the amount of exhibits closed
you would subtract k from 36 to find out how many exhibits are open
Answer:
x=-36k
Step-by-step explanation:
Can someone pls answer both answers? Thank you so much :3
Answer:
1.40
2.51
welp that's all
You can use the formula is A = b.h to find the area of every triangle.
A
True
B
False
Answer:
False.
Step-by-step explanation:
The area = 1/2.b.h.
Helppppppppppppppppppppp
Answer:
154
Step-by-step explanation:
15cm = 150 mm + 4 mm = 154
- 4 x + 9 = 21 x=___ help
Answer:
[tex] - 4x + 9 = 21 \\ - 4x = 21 - 9 \\ = 12 \\ x = \frac{12}{ - 4} \\ x = - 3[/tex]
please help me
The measure of an exterior angle of a triangle is x. The measure of the adjacent interior angle is at least twice x. List three possible solutions for x.
Answer:
x=exterior
y=interior
x+y=180
y is greater than or = to 2x.
So one value could be x+2x=180
3x=180
x=60
or you could do 2x+1+x=180
3x=179
x=179/3
or 2x+2+x=180
3x=178
x=178/3
Step-by-step explanation:
HELP ME PLEASE!!!! I WILL GIVE BRAINLEST
(08.01)
Which of the following statements shows a characteristic of a statistical question? (4 points)
Group of answer choices
The question is focused.
The question allows for surveys to be conducted.
The question asks for a quantitative response.
The distribution can be broken into categories.
Can someone help me with this problem . I have to show my work.
Answer:
Step-by-step explanation:
perimeter=2(100+16)
=2(116)
=232 cm
area=100(16)
=1600 cm²
61.5 dividido entre 0.750
Which answer shows y + 2x< 4x - 3, rewritten to isolate y, and its graph?
Answer:
y<2x−3 would be the answer
20 points, help. I have this due in like 20 minutes.
Answer:
in sequence, -7, 3, 43, -27
Step-by-step explanation:
A spinner landed on red 12 times in 50 spins.How many times would you expect it to land on red 1,000 spins?
Answer:
What you need to do is multiply 12 by 2 and then multiply 100 by 2 and then you add them which equals 240
12x2 = 24, 100x2 = 200
240
240 times
(hope that helped can plz have brainlist it will make my day :D hehe)
Step-by-step explanation:
Michael deposits $875 in a savings account that pays 4.5% interest. How much money does he earn at the end of 18 months?
Answer:
I think the answer to this question is 3,500 I'm sorry if I'm wrong.
Step-by-step explanation:
Please answer this it’s attach and I really need help if you scam me I will spam your questions will useless answers taking your points like you take mine.
Answer:
First blank: 4
Second blank: 3
Third blank: 8
Step-by-step explanation:
The expressions must be equivalent, yet one must read as 4 times the length of the box.
Looking at the given expression, 12x + 32, both numbers can be evenly divided by 4.
Since the blank spaces contain parenthesis, I can assume the problem is asking us to factor the numbers.
This means we put the number 4 on the outside of the parenthesis to display "4 times the side length."
4 × ? = 12
4 × 3 = 12
Substitute 12 for 3.
4 × ? = 32
4 × 8 = 32
Substitute 32 for 8.
4 (3x + 8)
3х2
The answer is 6
^agreed its correct good job
is 0.77 bigger or les than than 0.08?
Answer:
0.77 is bigger than 0.08
Step-by-step explanation:
0.77 > 0.08
You have to compare tenth place. In tenth place 7 is greater than 0. so 0.77 is bigger than 0.08
Solve to system of linear equations by substitution
y = 2x
x + y = -9
The solution of the system is ( x , y )
Simplify the expression:
-10(3x-6)
—————
3
Answer:
19/1 or 1.9
Step-by-step explanation: