Answer:
≈ 0.8 m²
Step-by-step explanation:
________________________________________________
FORMULA FOR FINDING AREA OF SEGMENT :-
[tex]A = r^{2} [\frac{\alpha }{360} \times \pi - (\sin \frac{\alpha }{2} \times \cos \frac{\alpha }{2} )][/tex]
Where :-
A = Area of the segmentr = Radius of the circleα (alpha) = Angle subtended by arc at the center________________________________________________
Angle subtended by the minor arc at the center = 360° - 300° = 60°
Radius of the circle = 3 m
Area of the segment =
[tex]3^{2} [ \frac{60}{360} \times \pi - (\sin \frac{60}{2} \times \cos \frac{60}{2})][/tex]
[tex]= 9[\frac{1}{6} \times \pi - (\sin 30 \times \cos 30)][/tex]
[tex]= 9[\frac{\pi }{6} - (\frac{1}{2} \times \frac{\sqrt{3} }{2} )][/tex]
[tex]= 9[\frac{\pi }{6} - \frac{\sqrt{3} }{4} ][/tex]
[tex]= 9[\frac{2\pi - 3\sqrt{3} }{12} ][/tex]
[tex]= \frac{9}{12} \times (2\pi - 3\sqrt{3})[/tex]
( Assuming √3 = 1.73 & π = 3.14 )
[tex]= \frac{3}{4} \times (6.28 - 5.19)[/tex]
[tex]= 0.75 \times 1.09[/tex]
[tex]= 0.8175[/tex]
∴ Area of the segment ≈ 0.8 m² (rounding to the nearest tenth)
What is s??
A 44°
B 35.3°
C. 37.9°
D. 22°
Answer: Choice B) 35.3 degrees
======================================================
Work Shown:
Apply the law of sines
sin(S)/s = sin(R)/r
sin(S)/16 = sin(120)/24
sin(S) = 16*sin(120)/24
sin(S) = 0.57735026918962
S = arcsin(0.57735026918962)
S = 35.2643896827542
S = 35.3
Make sure your calculator is in degree mode.
sin^2A+cos^2A=? .find the value.
Answer:
1
Step-by-step explanation:
it is an identity. hope it helps
i need help with this problem
Answer:
y = 3x - 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (2, 2) and (x₂, y₂ ) = (3, 5) ← 2 points on the line
m = [tex]\frac{5-2}{3-2}[/tex] = [tex]\frac{3}{1}[/tex] = 3
The line crosses the y- axis at (0, - 4) ⇒ c = - 4
y = 3x - 4 ← equation of line
Consider the polynomial function q(x) = 3x^4 – 5x^3 – 2x^2 + x – 18.
What is the end behavior of the graph of q?
Answer:
a in the picture
Step-by-step explanation:
The end behaviour of the function is correctly represented by option 1.
What is the end behaviour of a function? What do you mean by domain and range of a function?The end behavior of a function describes the trend of the graph if we look to the right end of the x-axis (as x approaches +∞ ) and to the left end of the x-axis (as x approaches −∞ ).
For any function y = f(x), Domain is the set of all possible values of [x] for which [y] exists. Range is the set of all values of [y] that exists for the given domain.
Given is the following function polynomial as -
q(x) = 3x⁴ – 5x³ – 2x² + x – 18
The given polynomial is -
q(x) = 3x⁴ – 5x³ – 2x² + x – 18
Graph the function. It can be seen that the domain is limited from -
x = -1.365 to x = 2.351 which is a small value. So, we can predict the end behaviour of the graph as given in option [1].
Hence, the end behaviour of the function is correctly represented by option 1.
To solve more questions on functions, visit the link below -
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Si un bloqie rueda sobre un plano rugoso tiene perdida de energia mecanica ficicamente esto quiere decir
Answer:
Step-by-step explanation:
Desde el concepto de conservación de la energía mecánica, es decir, la energía asociada con el movimiento coherente de un objeto, la energía cinética del objeto, junto con su momento, están conectadas entre sí. Entonces, si un bloque rueda sobre un plano irregular, tiene pérdida de energía mecánica, esto significa que la energía cinética se compensa con las ganancias o pérdidas de la energía potencial de la interacción del objeto.
what is the value of x when 2^x-7*5^x-4=1250
Step-by-step explanation:
The correct answer is the photo
9. In a home economics class, 6 girls worked together and sewed a dress in 4 days. How long
would it have taken for 4 girls to make the same dress?
Answer:
6 days.
Step-by-step explanation:
Given that in a home economics class, 6 girls worked together and sewed a dress in 4 days, to determine how long it would have taken for 4 girls to make the same dress, the following calculation must be performed:
X / 6 = 4
X = 4 x 6
X = 24
24/4 = 6
Thus, the 4 girls will take 6 days to make the same dress that 6 girls made in 4 days.
can somebody please try to break down how to solve systems of equations by substitution as much as possible? i've used so many apps but i still can't get a grasp of it. please!!! 20 points. please don't answer just for the points!!!
Answer:
okay, so let's take an example problem:
y = x + 4 where "y" = 5
so first, you plug in 5 in "y"'s place like so:
5 = x + 4
then, you solve for "x"
5 - 4 = 1
so therfore:
x = 1
if you need more of an explanation please do not be afraid to reach out. my goal isn't to get points, it's to help.
Factor the GCF: 6x^2 + 3x + 9 *
Answer:
3(2x² + x + 3)
Step-by-step explanation:
zzzzzzzzzzzzzzz
What is -4(x + 9) combine like terms
Answer:
-4x-36
Step-by-step explanation:
multiply -4 by x
multiply -4 by 9 and add each together
Answer:
-4x + -36
Step-by-step explanation:
This problem uses the distributive property. You need to multiply -4 by both things in the parentheses.
-4 · x = -4x.
-4 · 9 = -36
Hope this helps!
−2x+5=−25
x =
green what’s the answer
Answer:
x = 15
Step-by-step explanation:
-2x= -25-5
-2x=-30
x= 15
The distance traveled at a constant speed is directly proportional to
the time spent traveling. If Lynnell traveled 70 miles in 3.5 hours, how
many miles will Lynnell travel in 4 hours at the same constant speed?
Answer:
80 mi.
Step-by-step explanation:
There are a couple ways to solve this problem. I will show you one. First, let's find the rate of travel.
D = RT
70 = 3.5R
R = 70/3.5 = 20
Using that speed, we now get
D = 20(4) = 80 mi.
You are walking in the woods when you spot a bald eagle high up in a tree. You measure the angle of elevation to the eagle to be 67 degrees. You then walk directly to the tree and determine that you were standing 150 ft from the tree when you saw the bald eagle. How high up in the tree was the bald eagle?
Answer:
Step-by-step explanation:
infinite
The height of up in the tree was the bald eagle is, 352.5 feet
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
You measure the angle of elevation to the eagle to be 67 degrees.
And, The angle of elevation to the eagle to be 67 degrees.
Now, Let the height of up in the tree was the bald eagle is, x
Hence, We can formulate;
⇒ tan 67° = x / 150
⇒ 2.35 = x / 150
⇒ x = 2.35 × 150
⇒ x = 352.5 feet
Thus, The height of up in the tree was the bald eagle is, 352.5 feet
Learn more about the divide visit:
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Type the expression that results from the following series of steps:
Start with
y
, subtract 7, divide by 3, then add 6.
Answer:
well, y - 7 divided by 3 + 6 = y + 11/3
Step-by-step explanation:
hope this helps! have a nice day!
Jacob has 3 times as many football cards as Eli. Eli has 39 football cards. Tara has 111 football cards. Who has more football cards, Jacob or Tara? How many more?
Answer:
Jacob
Step-by-step explanation:
39*3 = 117
because it says Jacob has 3 times as many football cards as eli... Eli has 39 so 39*3 is 117 and 117 is more than 111
There we go BRIANLIST
Answer:
B!
Step-by-step explanation:
Hope that helps!
What is X=? // which choice is correct ? (Ignore my guessing choice mark)
Given:
A figure of a right angle triangle.
To find:
The length of the shorter leg.
Solution:
In a right angle triangle,
[tex]\tan\theta =\dfrac{Opposite}{Adjacent}[/tex]
In the given triangle,
[tex]\tan (60^\circ) =\dfrac{18}{x}[/tex]
[tex]\sqrt{3}=\dfrac{18}{x}[/tex]
[tex]x=\dfrac{18}{\sqrt{3}}[/tex]
[tex]x=\dfrac{18}{\sqrt{3}}\times \dfrac{\sqrt{3}}{\sqrt{3}}[/tex]
On further simplification, we get
[tex]x=\dfrac{18\sqrt{3}}{3}[/tex]
[tex]x=6\sqrt{3}[/tex]
[tex]x=10.3923[/tex]
[tex]x\approx 10.4[/tex]
Therefore, the length of the shortest leg is 10.4 and the correct option is B.
The surface of a rectangular table has an area of 8 square feet and a perimeter of 12 feet. What are the dimensions of the table?
? feet by ? feet
PLS .I really need help.Thank you
Answer:
4 ft by 2 ft
Step-by-step explanation:
4*2=8
4+4+2+2=12
Find the unknown side length of these similar triangles using scale factor. Show working out.
Julie's brother says that instead of paying her the $40 he owes her, he will give her
$2 today and double the amount she has each day for 6 days. Should Julie accept
her brother's offer? Why or why not?
Answer:
Yes
2*2*2*2*2*2=64
so that is a much better deal than the original 40$
Step-by-step explanation:
please help me , I don't understand how to do this
Answer:
10 more eggs
Step-by-step explanation:
If each egg equals 5 eggs then
pen 3 has a total of 25 eggs
Pen 2 has a total of 5
pen 5 has a total of 10
10 + 5=15
25-15= 10
Hope this helps ^-^
Answer:
10
Step-by-step explanation:
First I would convert all the egg drawings to the actual number:
Pen 3: 25 eggs
Pen 2: 5 eggs
Pen 5: 10 eggs
Then I would add pens 5 and 2 together, this would sum up to 15.
Lastly, I would subtract 15 from 25 = 10 eggs
X/4-1.2=2
Need this fast
Answer:
x=12.8Step-by-step explanation:
add 1.2 to the 2
x/4=3.2
multiply 3.2 by 4
x=12.8
What is the volume of this rectangular prism?
1/4 cm,
1/2 cm,
1/3 cm
Reduce the fraction to its simplest terms.
Vera claimed the solution set on the number line represents the inequality Negative 78.9999 greater-than-or-equal-to x.
A number line going from negative 83 to negative 77. A closed circle is at negative 79. Everything to the left of the circle is shaded.
Which error did Vera make?
Vera wrote the inequality with the variable on the left side of the relation symbol.
Vera wrote a relation symbol that does not represent the direction of the ray.
Vera selected an inequality that does not include –79 in its solution set.
Vera used the wrong number in her inequality.
Answer:
Step-by-step explanation:
Vera used the wrong number in her inequality.
Please note this question was very confusing for me.
Answer:
D
Step-by-step explanation:
The person above me is right, but if you wanted to know the letter, it's D
:D
What is the slope of the line that passes through the points (-8,-6) and (-18,6)
Answer:
-6/5
Step-by-step explanation:
We can find the slope using the slope formula
m = ( y2-y1)/(x2-x1)
= ( 6 - -6)/( -18 - -8)
= ( 6+6)/ (-18+8)
= 12/ -10
-6/5
Rewrite the expression using the common denominator
Answer:
The answer is C
Step-by-step explanation:
Answer:
Its c
Step-by-step explanation:
got it right on edge
You borrow $10,000 to buy a car. The simple interest rate is 3%. You pay the loan off after 6 years. What
is the total amount you paid for the loan?
Solve A = P(1 + rt) for t
Answer:
t = (A/p-1) r
Step-by-step explanation:
p = p (1+rt)
A/P = 1+rt
rt = A/P- 1
t = ( A/P- 1) r
an inground rectangular pool has a concrete pathway surrounding the pool. If the pool is 16 feet by 32 feet and the entire are of the pool including the walkway is 924ft^2, find the width of the walkway.
Answer:
Step-by-step explanation:
[tex](32+2W)(16+2W)=924\\ \\ 4W^2+96W+512=924\\ \\ 4W^2+96W-412\\ \\ W^2+24W-103=0\\ \\ W=-24\frac{\sqrt{988}}{2}\\ \\ W\approx 3.72ft[/tex]
Evaluate (49/64) ^1/2 write it as a fraction
Answer:
7/8
Step-by-step explanation:
Get rid of the ( )
put the 49/64 into a √ sq root and it cancels out the 1/2
49/64 whats the square root of 49? 7 Ss root of 64 is 8
7/8