Answer:
with the square inside: 708 ft
without the square: 628 ft
Step-by-step explanation:
perimeter of a semicirlce = [tex]\frac{1}{2}[/tex] (π[tex]r^{2}[/tex])
perimeter of a square = 4a
Perimeter of square: 4a
substitute 20 for a
⇒ 4a
⇒ 4 x 20
⇒ 80 ft
Perimeter of semicircle: [tex]\frac{1}{2}[/tex] (π[tex]r^{2}[/tex])
r = half of 20 which is 10
⇒ [tex]\frac{1}{2}[/tex] (π[tex]r^{2}[/tex])
⇒ [tex]\frac{1}{2}[/tex] (3.14 x [tex]10^{2}[/tex])
⇒ [tex]\frac{1}{2}[/tex] (3.14 x 100)
⇒ [tex]\frac{1}{2}[/tex] x 314
⇒ 157 ft
Since there are 4 semicirlces, just take 157 ft and multiply it by 4
⇒ 157 x 4
⇒ 628 ft
take 628 ft and add 80 ft:
⇒ 628 + 80
⇒708 ft
A ship sails 30km from A on a bearing of 048 degrees and a further 42km on a bearing of 110 degrees to arrive at B. What is the distance and bearing B from A.
Answer:
The distance from A to B is approximately 67.5 km
The bearing of B from A is approximately 86.89°
Step-by-step explanation:
i) The distances and the bearing of the motion of the ship is given as follows;
The distance the ship sails on a bearing of 048° = 30 km
The distance further the ship sails on a bearing of 110° = 42 km
From the drawing of the sailing of the ship created with Microsoft Visio, we have;
∠C = 48° + 70° = 118°
By cosine rule, we have;
c² = b² + a² - 2·b·a·cos(∠C)
From which we have;
c² = 30² + 48² - 2 × 30 × 48 × cos(118°) ≈ 4,556.07810082
c ≈ √(4,556.07810082) ≈ 67.5
The distance from A to B = c ≈ 67.5 km
ii) By sine rule, we have;
a/sin(A) = b/sin(B) = c/sin(C)
∴ sin(A) = a·sin(C)/c
Substituting the values of the variables gives;
sin(A) ≈ 48·sin(118°)/67.5
∠A ≈ arcsin(48·sin(118°)/67.5) ≈ 38.89°
Therefore, the bearing of B from A ≈ 48 + 38.89 = 86.89°.
Porfavor: Elabora un problema matemático relacionado con tu vida cotidiana donde utilices “adición y sustracción de números con signo” y el resultado sea - 9
Answer:
Queremos hacer un problema donde tengamos adición (a + b) y substracción ( a - b) de números con signo, de tal forma que el resultado final sea 9.
El caso más simple para este tipo de problemas es algo como:
"Vas a un mercado a comprar un par de productos, el producto A cuesta $A, y el producto B cuesta $B, si solo tenés un billete de $C, cuanto será el vuelto?"
Bueno, el vuelto va a ser la diferencia entre lo que vos entregáis, $C, y el costo total de los productos que compras ($A + $B)
Entonces el vuelto va a ser:
vuelto = $C - ($A + $B)
Y queremos que el resultado de este problema sea 9, entonces podemos escribir:
vuelto = $9 = $C - ($A + $B)
Ahora debemos encontrar los valores de las incógnitas.
Podemos simplemente definir dos de ellas y encontrar la tercera, por ejemplo si $C = $20 y $A = $2, entonces:
$9 = $20 - ($2 + $B)
$9 = $20 - $2 -$B
$9 = $18 - $B
$9 - $18 = -$B
-$9 = -$B
Entonces $B será = $9.
Y el problema podría escribirse como:
"Vas a un mercado a comprar un par de productos, el producto A cuesta $2, y el producto B cuesta $9, si solo tenés un billete de $20, cuanto será el vuelto?"
Simplify: 4x^3+5y^3+2x^3+7y
A: 6x^3+5y^3+7y
B: 6x^6+12y^4
C: 6x^6+5y^3+7y
D: 9xy^3+2x^3+7y
find the values, exact answers.
Answer:
x=30
Step-by-step explanation:
180=2x+3x+x
180=6x
180÷6=6x÷6
30=x
Help me please!
I don’t understand this
5. 9 32
5
F C = + is an equation that models the relationship in the table.
Equivalent Temperatures
Celsius, (°C) −15 −10 −5 0 5
Fahrenheit, (°F) 5 14 23 32 41
What does each variable represent?___________________________________________________.
What is the temperature in °F when it is 20°C? ___________________________________________.
Is the ordered pair (30, 86) a solution for the equation? Justify your answer.
_________________________________________
Answer:
Temperatures
Step-by-step explanation:
pls help :) plssssss
Answer:
I'm kinda guessing 35 degrees.
Step-by-step explanation:
It was simple math and I don't know if there's a certain way you are supposed to do this. Sorry if I'm incorrect.
Answer:
35 degrees im pretty sure
Step-by-step explanation:
goodluckk
Esgetteit give me a funney joek plox plox
Answer
why cant a orfian play baseball..... they dont know where home is.
Step-by-step explanation:
A luxury chairs manager found that an employee made 3/4 of a chair every 3/8 of an hour
How many chairs does the employee make per hour?
Answer:
Step-by-step explanation:
(3c/4)/(3h/8)
(3c/4)(8/3h)
(24/12)c/h
2 c/h
So employee can make 2 chairs in one hour.
Help Me Please I really need it
I need to know the answer plzzzz
Answer:
your answer will be B. y = | x+4 | - 2
Step-by-step explanation:
hope it helps you
have a nice day!!
Answer:
its i either c or b but i would chose C.
Step-by-step explanation:
Kate can mow lawns at a constant rate of 45 lawns per hour. How many lawns can Kate mow in 20 hours?
Answer:135
Step-by-step explanation:
bcs 45x60 is 2700 ÷20= 135
What is the difference between solving this equation: x - 4 = 17 AND this equation : 5x - 1 = 24 ?
Answer: See explanation
Step-by-step explanation:
x - 4 = 17
Collect like terms to get the value of x
x = 17 + 4
x = 21
5x - 1 = 24
Collect like terms to get the value of x
5x = 24 + 1
5x = 25
Divide both side by 5
5x/5 = 25/5
x = 25/5
x = 5
find the value of x and classify the triangle
Answer:
x = 91 degrees
It is an obtuse scalene triangle.
Step-by-step explanation:
What is the value of 1/2+(-5/6)+1/4
Answer:
B. -1/12
Step-by-step explanation:
1/2 - 5/6 + 1/4 = -1/12
[tex] \frac{1}{2} - \frac{5}{6} = \frac{3}{6} - \frac{5}{6} = - \frac{2}{6} \\ \\ = - \frac{1}{3} + \frac{1}{4} = - \frac{4}{12} + \frac{3}{12} = - \frac{1}{12} [/tex]
There are denominator equalizations in between :)I hope I got it right, I'm trying to improve my English a little :)Greetings from Turkey:)#XBadeXIs this wrong if so plssss give me the answer
Answer:
30 not -30 x
Step-by-step explanation:
6x = 6(5) = 30
iI hope im right!!
Help me pls. literally can’t figure it out.
click pic to make it bigger thanks.
What is this number rounded to the nearest whole number?
Answer:
20
Step-by-step explanation:
In the tenths place, it is 7 so it rounds up.
19 rounded is 20.
Hope this helps =]
Please help I’m so confused 25 points and brainliest!!
Answer:
1=15.7
2:31.4
3:12.5
Step-by-step explanation:
1=5×3.14=15.71
2:5×2=10×3.14=31.42
3:39.25÷3.14=12.5
hope this helps
Answer:
1 is 15.7, 2 is 31.4, 3 is 12.5
Step-by-step explanation:
1.C=πd
C=π×5
C=5π
Circumference = 15.7
2.C=2πr
C=2×π×5
C=10π
Circumference = 31.4
3. diameter=Cπ
d=39.25π
d=39.25/3.14
Diameter = 12.5
Hope this helped.
Urgent please help..
Answer:
18π
Step-by-step explanation:
Lateral Surface Area = 2πrh
Plug in the numbers into the equation.
but leave the pi
Solve for X. Please help! 35 points
Please help me with this asap ! Find the perimeter!
Answer:
70 ft is the answer
hope it helps and your day will be full of happiness
Answer:
i'm pretty sure its 70ft
Step-by-step explanation:
hope this helps :p
A person stands 6 feet tall. The distance from the top of their head to the end of their
shadow on the ground is 10 feet. How long is their shadow? Round to the nearest
tenths where necessary.
Answer:
It's quite simple and there is no need for rounding, the answer should be 8ft
Step-by-step explanation:
Here's why,
This problem can be solved with the Pythagorean Theorem, since in draws a triangle.
The picture should explain it, let's double check:
6^2+8^2=10^2
36+64=100
Looks like it checks out
Answer:
I agree, the answer should be 8ft
simplify.
(14h⁴︎+3h³) - (9h⁴︎+2h³)
Answer:
31874
Step-by-step explanation:
I think that's right?
please tell me
Perimeter of a cube, in a cube? What?
Answer:
158
Step-by-step explanation:
I need help on this one please
Answer: 66 degrees
Step-by-step explanation:
Help :) please I’ll give the crown:)
Answer:
50 min
Step-by-step explanation:
Convert the hours and minutes to pure minutes. 1hr40min =60min +40min= 100min and 2.5hrs =2(60min)+30min=150min. Then subtract 150 from 100 to get 50 min longer.
I can’t figure out the answer
Answer:
27:18
Step-by-step explanation:
simplified would be 3:2
Based on the quadratic graph provided below, determine the characteristics of the graph requested:
Answer:
This hurt my head
Step-by-step explanation:
HELP PLZZZ URGENT I NEED HELP RN PLSSSSSSS
Answer:
0 from the x axis, 5 from the y-axis
Step-by-step explanation:
Coordinates are (x,y).