Answers
Answer:
142.7 m²
Step-by-step explanation:
but sure, what you know about triangles and trigonometry (simplified, the relationship of angles and sides of shapes based on circles enclosing them)
so, here a quick summary of important facts and angle/side relationships in triangles :
the sum of all angles in a triangle is always and for every triangle 180 degrees.
sin(angle) is vertically up or down from the horizontal diameter of the encircling circle to the point on the circle hit by a line from the center of the circle with the described angle from the horizontal diameter.
cos(angle) is horizontally left or right from the center of the encircling circle to the point, where the sine-line hits the horizontal diameter.
the sides are named in relation to their opposing corners and their angles. so, for example, side a is opposing the corner point A and the angle at this point (also called A).
here it is also important to know :
a/sin(A) = b/sin(B) = c/sin(C)
and the area of a general triangle is
area = 1/2 × b × c × sin(A) or
1/2 × a × c × sin(B) or
1/2 × a × b × sin(C)
so, if we want to use the first option, we need to calculate b first. for this we use
b/sin(B) = c/sin(C)
b = (c × sin(B)) / sin(C)
for this we need to calculate C first. and we use
A + B + C = 180
C = 180 - A - B = 180 - 54.3 - 30.4 = 95.3 degrees
=>
b = (26.3 × sin(30.4)) / sin(95.3) = 13.36583...
=> area = 1/2 × 13.36583... × 26.3 × sin(54.3) = 142.7324...
= 142.7 (rounded)
Related Questions
A pizza has a radius of 7 inches. If it is cut into 6 equal slices, what is the area of each slice?
Answers
answer: each slide would be one sixth of the entire area; the entire area is (pi)(72).
Do not use pi = 22/7 because that's untrue. It's approximately 3.1416; round off later!
hope this helps
Which statement is true?
Answers
On Tuesday, a local hamburger shop sold a combined total of 576 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold. How many hamburgers were sold on Tuesday?
Answers
Answer:
check the picture
Step-by-step explanation:
I hope this helps
How to solve this?!?!? (5x+24)(9x+12) + (3x+9)(8x+6)(2x+7)
Answers
Answer and Step-by-step explanation:
First, multiply the parentheses, then add everything together.
-- (5x + 24)(9x + 12)
-- 45[tex]x^2\\[/tex] + 60x + 216x + 288 (Simplify)
-- 45[tex]x^2\\[/tex] + 276x + 288
--- (3x + 9)(8x + 6)
--- 24[tex]x^2\\[/tex] + 18x + 72x + 54 (Simplify)
--- 24[tex]x^2\\[/tex] + 90x + 54
---- (2x + 7)(24[tex]x^2\\[/tex] + 90x + 54)
---- 48[tex]x^{3}[/tex] + 180[tex]x^2\\[/tex] + 108x + 168[tex]x^2\\[/tex] + 630x + 378 (Simplify)
---- 48[tex]x^{3}[/tex] + 348[tex]x^2\\[/tex] + 738x + 378
----- 45[tex]x^2\\[/tex] + 276x + 288 + 48[tex]x^{3}[/tex] + 348[tex]x^2\\[/tex] + 738x + 378
----- 48[tex]x^{3}[/tex] + 393[tex]x^2\\[/tex] + 1014x + 666
48[tex]x^{3}[/tex] + 393[tex]x^2\\[/tex] + 1014x + 666 is the final answer.
#teamtrees #PAW (Plant And Water)
Answer:
[tex] \rm \displaystyle {48x}^{3} + 393 {x}^{2} +1014x + 660[/tex]
Step-by-step explanation:
we would like to simplify the following:
[tex] \rm \displaystyle (5x + 24)(9x + 12) + (3x + 9)(8x + 6)(2x + 7)[/tex]
there're two parts the multiplication the whole part to solve the multiplication part we can consider FOIL and for the whole, PEMDAS which can be represented as
[tex] \rm\displaystyle \rm \displaystyle \underbrace{\underbrace{(5x + 24)(9x + 12) } _{ \text{FOIL - 1}}+ \underbrace{ (3x + 9)(8x + 6)(2x + 7)} _{ \text{FOIL - 2}}} _{ \text{PEMDAS}}[/tex]
let's figure out FOIL-1 part
By FOIL we obtain:
[tex] \displaystyle {45x}^{2} + 60x + 216x + 288[/tex]
simplify addition:
[tex] \displaystyle {45x}^{2} + 276x+ 288[/tex]
let's figure out FOIL-2:
By FOIL and PEMDAS we acquire:
[tex] \rm \displaystyle {48x}^{3 } + {348x}^{2} + 738x + 378[/tex]
finally the whole part
[tex] \rm \displaystyle {45x}^{2} + 60x + 216x + 288+ {48x}^{3 } + {348x}^{2} + 738x + 378[/tex]
combine like terms:
[tex] \rm \displaystyle {48x}^{3} + 393 {x}^{2} +1014x + 660[/tex]
and we are done!
Please help immediately! In desperate need!
Answers
9514 1404 393
Answer:
see attached
Step-by-step explanation:
You know that f(0) = 2^0 = 1, so g(0) = -11 has been shifted down 12 units from f(x). A shift of half as much will be a shift down 6 units from f(x), or up 6 units from g(x).
In the attached, we have named the new function h(x). It is equivalent to g(x)+6. That is, you can add 6 to each of the g(x) table values to get the corresponding values for h(x).
16. Subtract: 5 - 3 1/3
Answers
Answer:
1 2/3 ( d is the answer)
Step-by-step explanation:
See image below:) I know it says 5/3 but where it says alternative form it says 1 2/3
3 1/3
= 10/3
5/1 - 10/3
15/3 - 10/3
5/3 or 1 2/3
Guys what is the answer
Answers
150°
Step-by-step explanation:
360° - 210° = 150° .......
The denominator of a fraction is twice the numerator. If 3 is added to the numerator and 3 is subtracted from the denominator, the new fraction is 7/5. Find the original fraction.
Answers
Answer:
4/8
Step-by-step explanation:
d = 2n
n+3 = 7
d-3 = 5
substitute '2n' for 'd' in d-3=5
2n-3 = 5
2n = 8
n = 4
d = 2(4)
4/8
PLEASE HELP ASAPPPPP!!!!!!
You have 2 spreads, 3 meats, and 4 kinds of bread. How many different sandwiches can you make using one of each ingredient?
Answers
The total combinations are found by multiplying each option by each other.
2 spreads x 3 meats x 4 breads = 24 different combinations.
Answer : 24
Which of the following values could be an absolute value?
Answers
Answer:
Step-by-step explanation: It could be 8,7, or 2. Because these are all positive
:)
2. What is the best estimate of the value of In 16?
Answers
Answer:
Hey your question is in incomplete
Step-by-step explanation:
k66jntynnu.uk8 677nunni.i7k78mi
What is the surface area of a dome ( 1/2 sphere) with a radius of 12 meters?
A.
Answers
Answer:
[tex]Area = 1357.344m^2[/tex]
Step-by-step explanation:
Given
Shape: dome
[tex]r = 12[/tex]
Required
The surface area
This is calculated as:
[tex]Area = 3\pi r^2[/tex]
So, we have:
[tex]Area = 3*3.142* 12^2[/tex]
[tex]Area = 1357.344m^2[/tex]
20 5 4 2 X 2.5 12 1.5 3
Answers
Answer:
x = 10
Step-by-step explanation:
if two prisms are similar then the side lengths are proportional
2/4 = x/20 cross multiply expressions
40 = 4x divide both sides by 4
10 = x
(y-4)^0 - 3y^0 for y = 1
Answers
Answer:
(1-4)^0-3y^0
( -3)^0 -3^0
1 -1
0
Answer:
-2
Step-by-step explanation:
(y -4)^0 - 3y^0
substitute the value of y
(3-4)^0 - 3*1^0
(-1)^0 - 3*1
1 - 3
-2
Which one of these polls is the correct answer? Please help.
Answers
Hope that helps have a great day!
Can someone help me again with these math work?
Answers
The answer is 2 1/2 inches
A pair of elephants walk 26 meters on a straight slope. The height of the slope is 12 meters. Find the angle between ground and the top of the hill.
Answers
Answer:
36
Step-by-step explanation:
Find the center and radius of x^2 + y^2 +6x - 7=0
Answers
Answer:
The center (-3, 0)
9514 1404 393
Answer:
center: (-3, 0)radius: 4Step-by-step explanation:
The desired parameters can be found by putting the equation into the standard form for the equation of a circle:
(x -h)^2 +(y -k)^2 = r^2 . . . . . circle centered at (h, k) with radius r
The values of h and k will be half the coefficients of the linear x- and y-terms, respectively.
x^2 +6x +9 +y^2 -7 = 9 . . . . . add 9 to complete the square
(x +3)^2 +y^2 = 16 . . . . . . . . . add 7 to get the desired form
This equation shows us (h, k) = (-3, 0) and r = 4.
The center is (-3, 0), and the radius is 4.
A basketball player scored 14 times during one game. She scored a total of 15 points, two for each two-point shot and one for each free throw. How many two-point shots did she make? How many free throws?
She made ____ two-point shots
Answers
Answer:
The player made one two-point shot and 13 free throws.
Step-by-step explanation:
We can write a system of equations to model the situation.
Let t represent the number of two-point shots and let f represent the number of free throws made.
Since she scored a total of 14 times, the sum of two-pointers and free throws must equal 14. Hence:
[tex]t+f=14[/tex]
And since she scored a total of 15 points and each two-pointers is worth two points and every free throw is worth one:
[tex]2t+f=15[/tex]
Solve the system. We can use elimination. From the first equation, multiply both sides by negative one:
[tex]-t-f=-14[/tex]
We can add this to the second equation:
[tex](2t+f)+(-t-f)=(15)+(-14)[/tex]
Simplify:
[tex]t=1[/tex]
So, the player made only one two-point shot.
Using the first equation again, substitute one for t and solve for f:
[tex](1)+f=14\Rightarrow f=13[/tex]
Therefore, the player made one two-point shot and 13 free throws.
Answer:
Dependent and independent variables are variables in mathematical modeling, statistical modeling and experimental sciences. Dependent variables are studied under the supposition or demand that they depend, by some law or rule, on the values of other variables.
Step-by-step explanation:
which expression is equivalent to 13 - 4.5 +(-8)
Answers
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{13 - 4.5 + (-8)}\\\\\large\textsf{= 13 - 4.5 - 8}\\\\\large\textsf{13 - 4.5 = \boxed{\bf 8.5}}\large\checkmark\\\\\large\textsf{8.5 - 8}\\\\\boxed{\large\textsf{= \bf 0.5}}\large\checkmark\\\\\\\\\boxed{\boxed{\large\textsf{Answer: \huge \bf 0.5}}}\huge\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Given that A=1/2πrh, make r the subject of the formula?
Answers
Answer:
r=1/2πhA
Step-by-step explanation:
..................
Therefore, the formula of [tex]r[/tex] is [tex]2A(\pi h)^{-1}[/tex].
What is the equation?
The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
Here given equation is
[tex]A=\frac{1}{2}\pi rh[/tex]
So,
[tex]A=\frac{1}{2}\pi rh\\\\r=2A(\frac{1}{\pi h})\\\\r=2A(\pi h)^{-1}[/tex]
Hence, the formula of [tex]r[/tex] is [tex]2A(\pi h)^{-1}[/tex].
To know more about the equation
https://brainly.com/question/12788590
#SPJ2
The interior angle of a polygon is 100 . The other interior angle are all equal to 110. how many sides has the polygon?
Answers
There is a formula for the total interior angles of a polygon:
180(sides−2)=total interior angles
One of the angles is 100 and all the others are 110.
We can rewrite the equation.
Assume there is x number of sides.
There are x−1 number of angles, 110 degrees
180(x−2)=100+110(x−1)
180x−360=100+110x−110
70x−360=100−110
70x−360=−10
70x=3507x=35
x=5
There are 5 sides to the polygon.
We can check our answer:
180(sides−2)=total interior angles
Therefore it is true:
The polygon has 5 sides
I HOPE IT HELPS
HAVE A GREAT DAY
#Liliflim
Find the volume of each shape. Round your answer to two decimal places.with clear explanation.
Answers
Answer:
Volume = 111.33 in.³
Step-by-step explanation:
The volume of the shape = volume of the rectangular prism part + volume of the triangular prism part
✔️volume of the rectangular prism part:
V = L*W*H
Where,
L = 5.1 in.
W = 3.4 in.
H = 5.9 in.
V = 5.1*3.4*5.9
V = 102.306 in.³
✔️volume of the triangular prism part:
V = ½*b*h*l
b = 6 - 5.1 = 0.9 in.
h = 5.9 in.
l = 3.4 in.
V = ½*0.9*5.9*3.4
V = 9.027 in.³
✅Volume of the shape = 102.306 + 9.027
= 111.333 in.³
≈ 111.33 in.³ (approximated to 2 decimal places)
If anybody needs gauthmath code for homework this is my code = ER326P
Answers
Which ordered pairs are solutions to the equation 5x+12y=12?
Answers
what is the product of -8 1/3 and 3 2/5
Answers
Answer:
-28 1/3
Step-by-step explanation:
-8 1/3= -25/3
3 2/5= 17/5
-25/3*17/5= -28 1/3
Round 263.492 to the nearest tenth.
Answers
Answer:
260.
because 263 is below 265 so it wont change to 270.
...help please I would appreciate it
No link please
Answers
Answer:
B
Step-by-step explanation:
Answer:
it's B. pa brainliest nalang po thanks
Step-by-step explanation:
B.
x2 + y2 − 4x + 12y − 20 = 0
(x − 6)2 + (y − 4)2 = 56
x2 + y2 + 6x − 8y − 10 = 0
(x − 2)2 + (y + 6)2 = 60
3x2 + 3y2 + 12x + 18y − 15 = 0
(x + 2)2 + (y + 3)2 = 18
5x2 + 5y2 − 10x + 20y − 30 = 0
(x + 1)2 + (y − 6)2 = 46
2x2 + 2y2 − 24x − 16y − 8 = 0
x2 + y2 + 2x − 12y − 9 = 0
Answers
Answer:
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Step-by-step explanation:
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I need help with this problem
Answers
Step-by-step explanation:
y=sin ^-1(9/14) =44,27 degree
X= by pythegoras) =14 square - 9 square
= root 115