Answer:
A = 240 units²
Step-by-step explanation:
the area (A) of a regular polygon is
A = [tex]\frac{1}{2}[/tex] pa ( p is the perimeter and a the apothem )
here p = 8 × 6 = 48 ( an octagon has 8 sides ) and a = 10 , then
A = [tex]\frac{1}{2}[/tex] × 48 × 10 = 24 × 10 = 240 units²
Answer:
Step-by-step explanation:
Preliminary task
Draw a regular octagon.
Draw a perpendicular from the side's midpoint to the center. (That is the apothem).
Draw two radii from the center of the side to the center of of the octagon. The endpoints of these two radii is the endpoints of the octagon's side.
The octagon has 8 such triangles.
Area one triangle
Area = 1/2 * side * apothem
side = 6
apothem = 10
Area = 1/2 6 * 10
Area = 30
Area of 8 such triangles.
Area = 8 * area of 1 triangle
area 1 triangle = 30
Area of 8 such triangles = 30*8 = 240
Answer 240
A boat is traveling at 28 knots in a direction of 36 degrees. It encounters wind moving at 10 knots in a direction of 22 degrees. What is the true velocity and direction of the boat? round to the nearest whole #
a) 38knots;58 degrees
b) 32knots;30 degrees
c) 1,427knots;58 degrees
d) 38knots;32 degrees
The magnitude of the total velocity of the boat is 38 knots, and the direction is 32°, so the correct option is d.
How to get the velocity of the boat?
First, we need to write need to find the component of the two given velocities.
For the boat, the magnitude is 28 knots and the angle is 36°, then the components are:
x-component = (28 knots)*cos(36°) = 22.65 knotsy-component = (28 knots)*sin(36°) = 16.46 knotsFor the wind, the components are:
x-component = (10 knots)*cos(22°) = 9.27 knotsy-component = (10 knots)*sin(22°) = 3.75 knotsAdding these, the total components of the boat's velocity are:
x-comp = 22.65 knots+ 9.27 knots = 31.92 knotsy-comp = 16.46 knots + 3.75 knots = 20.21 knotsThen the magnitude of the velocity is:
|V| = √( (31.92 knots)^2 + (20.21 knots)^2) =37.78 knots
That can be rounded to 38 knots
To get the angle, we take the arctangent of the quotient between the y-component and the x-component:
a = Atan(20.21 knots/31.92 knots) = 32.34°
Then the correct option is d) 38 knots and 32°
If you want to learn more about velocity, you can read:
https://brainly.com/question/4931057
Answer:
It is 38 knots; 32 degrees
Step-by-step explanation:
The answer below is right
I took the test
Help, what is the area of this figure? (Don’t write a big explanation!!, i really need this quick, a picture or just numbers u used is fine)
Answer:
146 m²
Area of triangle:
1/2 * base * height1/2 * 16 * 756 m²Area of upper rectangle:
Length * Width8 * 972 m²Area of bottom rectangle:
Length * Width6 * 318 m²Total area:
18 m² + 72 m² + 56 m²146 m²Answer:
146 m²
Step-by-step explanation:
Divide the figure into a triangle and 2 rectangles (see attached diagram)
Formulae
Area of a triangle = 1/2 x base x heightArea of a rectangle = width x lengthTriangle 1
⇒ area = 1/2 x 16 x (6 + 9 - 4 - 4)
= 1/2 x 16 x 7
= 56 m²
Rectangle 2
⇒ area = 3 x (6 + 9)
= 3 x 15
= 45 m²
Rectangle 3
⇒ area = 5 x 9
= 45 m²
Total area
⇒ Total area = triangle 1 + rectangle 2 + rectangle 3
= 56 + 45 + 45
= 146 m²
please help figure out the range
Answer:
5
Step-by-step explanation:
The range is the highest value number minus the lowest value number. 9 minus 4 is 5.
work out the next term of this quadratic sequence
6 9 15 24 _
Answer:
36
Step-by-step explanation:
Every next term is added by a multiple of 3
6 + 3 = 9
9 + ( 3 × 2 ) = 15
15 + ( 3 × 3 ) = 24
24 + ( 3 × 4 ) = 36
Answer:
36.
Step-by-step explanation:
The differenes in the terms are 3, 6, 9 so the next difference is 12.
24 + 12 = 36.
LOTS OF BRAINLY POINTS HELP ASAP PLS TYSM
you are flipping a coin and you flip tails 3 out of 10 times you flipped the coin. what is the experimental probability that you flip a tails. express your answer as a simplified fraction.
Answer:
3/10
Step-by-step explanation:
So, you already have the experimental probability. The theoretical probability is 5/10, but that's not what you're lookig for.
PLSS HELPP
I NEED TO FIND THE 2 SIDE LENGTHS
You are building a play pen for your pet pig. You know that you want one side to be 7 feet longer than 3 times the other
side. The area of the play pen that you want is 48 square feet. What are the dimensions of the play pen?
Check the picture below.
[tex]\textit{area of a rectangle}\\\\ A=Lw~~ \begin{cases} L=length\\ w=width\\[-0.5em] \hrulefill\\ w=3L+7\\ A=48 \end{cases}\implies 48=L(3L+7)\implies 48=3L^2+7L \\\\\\ 0=3L^2+7L-48\implies 0=(3L+16)(L-3) \\\\[-0.35em] ~\dotfill\\\\ 0=3L+16\implies -16=3L\implies -\cfrac{16}{3}=L \\\\[-0.35em] ~\dotfill\\\\ 0=L-3\implies 3=L~~\textit{\Large \checkmark} \\\\[-0.35em] ~\dotfill\\\\ w=3L+7\implies w=3(3)+7\implies w=16[/tex]
notice, we didn't use the negative value of "L", because the length can't be negative.
Given the following unit circle, rotate green dot to the appropriate angle and then find the exact value of the function.
Answer:
you can find the aswer in the question and the in the frist sentes of the question
Step-by-step explanation:
Find the length of the third side. If necessary, round to the nearest tenth
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's use Pythagoras theorem !
[tex]\qquad \sf \dashrightarrow \:h {}^{2} = p {}^{2} + b {}^{2} [/tex]
where,
h = hypotenuse = unknown b = base = 11 p = perpendicular = 12[tex]\qquad \tt\dashrightarrow \:h {}^{2} = 12{}^{2} + 11 {}^{2} [/tex]
[tex]\qquad \tt\dashrightarrow \:h {}^{2} = 144{}^{} + 121[/tex]
[tex]\qquad \tt\dashrightarrow \:h {}^{2} = 265[/tex]
[tex]\qquad \tt\dashrightarrow \:h {}^{} = \sqrt{265}[/tex]
[tex]\qquad \tt\dashrightarrow \:h {}^{} \approx16.3[/tex]
ANSWER QUESTION BELOW CORRECTLY FOR BRAINLIEST
Solve this on your own and find the unit rate of miles per hour.
ALL of the Students at Beach Middle School voted for a trip to the zoo or the aquarium.
- 25% of the students voted for the aquarium
- 120 students voted for the zoo
What is the total number of students at Beach Middle School?
Answer:
160
Step-by-step explanation:
If there were only 2 options, all the people who didn't pick one chose the other one.
So if 25% of the people voted for the aquarium the remaing 75% voted for the zoo.
Since three times as many people voted for the zoo, we can see that 120/3=40, so 40 people chose the aquarium.
To find the total number of students, we add 120 and 40 to get 160
Please need help this question
Answer:
b they are perpendicular
Step-by-step explanation:
they intersect each other at point D
Chris invests $5,000 in a savings account that earns 2% interest per year. what would the Eqn be with a(b)^x
Answer:
The equation would be 5000(1.02)^x with x representing the amount of years, as the values keep multiplying.
In meteorology the term virga refers to falling raindrops or ice particles that evaporate before they reach the ground. assume that a typical raindrop is spherical. starting at some time, which we can designate as t = 0, the raindrop of radius r0 falls from rest from a cloud and begins to evaporate.
y = 2x -1, y = 3x + 5 solve
Answer:
the answer is x= -6 and y= -13
50 POINTS FOR THE CORRECT ANSWER!
So
f(2)
f(1)-317-314f(3)
f(2)-314-311f(4)
f(3)-311-38Jaxson bought a pair of sunglasses online for $71. He used a coupon code to get a 20% discount. The website also applied a 5% processing fee to the price after the discount. How much was the discount, in dollars and cents?
Answer:
$17.75
Step-by-step explanation:
$71-($71×20%)
$71-$14.2
=$56.8
after coupon code
$56.8-($56.8×5%)
=$56.8-$2.84
=$53.96 about .
then applied a 5% processing fee online.
(HELP!!!)
Identify the variable expression that is “not” a polynomial.
A. x+2
B. XA+7
C. 24
D. y + x
Identify the variable expression that is “not” a polynomial.
Try looking for the one that breaks the rules of it being a polynomial.
A beach volleyball court is 9 meters wide and 18 meters long. The rope used for the boundary line costs $1.67 per meter. How much would it cost to buy a new boundary line for the court?
Answer:
$90.18
Step-by-step explanation:
Since there are two long sides and two wide sides, you would double them. Add them together, and multiply by price
9 + 9 = 18
18 + 18 36
18 + 36 = 54
54 x 1.67 = 90.18
Please someone help!!!!
Kristine observes the top of a lookout tower from a point 220 ft from its base.
If the indicated angle of elevation measures 37º, how tall is the tower? Give your answer to the nearest tenth of a foot.
Answer:
height of the tower: 165.8 ft
use tan rule:
[tex]\sf \sf tan(x)= \dfrac{opposite}{adjacent}[/tex]
Here: [ your calculator should be in degree mode [D] ]
x = 37°opposite = height of the toweradjacent = 220Solve:
[tex]\hookrightarrow \sf \sf tan(37)= \dfrac{t}{220}[/tex]
[tex]\hookrightarrow \sf t = \sf tan(37)*220[/tex]
[tex]\hookrightarrow \sf t = 165.8 \ ft[/tex]
The graph of this system of equations is which of the following?
2x + y = 6
6x + 3y = 18
Overlapping lines
Parallel lines
Intersecting lines
A curve intersecting with a line
Answer:
They are the same line. It means that they are overlapping line.
Answer:
Overlapping
Step-by-step explanation:
Divide every term of the second equation, it would be 2x + y = 6, which is the same as the first equation.
Kim brought $39.75 to the art supply store. She bought a brush, a sketchbook, and a paint set. The brush was 1 4 as much as the sketchbook, and the sketchbook cost 2 3 the cost of the paint set. Kim had $4.00 left over after buying these items
Answer:
I can't get past hre, equations are attached tho
Step-by-step explanation:
Equations:
[tex]b + s + p = 35.75[/tex]
[tex]\frac{1}{4} b = s[/tex]
[tex]\frac{2}{3} s = p[/tex]
Now I used Desmos to solve this, im sure theres a way to find it the legit way but i'm too lazy. Here's the image of what the graph is like:
brush =$20.21,. sketchbook =$6.21 , paint set=$9.32
Step-by-step explanation:
let the cost of the brush=x
the cost of the sketchbook=y
the cost of the paint set= z
total money used= $39.75-$4.00
=$35.75
x= 14+y
but y=2/3z
x= 14+2/3z
14+2/3z +2/3z +z =35.75
3×14 +3×2/3z+3×2/3z×3z=3×35.75
42 +2z +2z +3z =107.25
7z=107.25-42
7z=65.25
z=65.25/7
z=$9.32
y=$2/3×9.32
y=$6.21
x=14+y
x=14+6.21
x=$20.21
What is the square root of 546 divided by 67 (100 points!)
Round answer to 2 decimal points
Answer: the answer is 0.35 because
Square root of 546 is 23.3666428911
23.3666428911 divided by 67 is 0.34875586404
0.34875586404 rounded to 2 decimal points is 0.34875586404
the answer I had is 0.3487. first of all you have to find the square root of 546 which is 23.366 then you divide it by 67 which will give you 0.3487
5 7
What is the slope of the equation Y=74-7?
=
O -7
o -
O
O 5
Hey there!
y = 74 - 7
START at 74 and go back 7 spaces to your left and you should be left on your result of the y-value
y = 67
Therefore, your answer is: y = 67
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Which fraction does this line plot represent?
5/8
6/8
5/9
3/8
Answer:
5/8
Step-by-step explanation:
Just gonna fill up the required space here lol
One day, a person went to a horse racing area. Instead of counting the number of humans and horses, he counted 74 heads and 196 legs. How many humans and horses were there?
A. 37 humans and 98 horses
B. 24 horses and 50 humans
C. 31 horses and 74 humans
D. 24 humans and 50 horses
Answer:
the answer is a
Step-by-step explanation:
Answer:
B. 24 horses and 50 humans
Step-by-step explanation:
74 x 2 = 148
196 - 148 = 48
48/2 = 24 (number of horses)
74 heads - 24 horses = 50 humans
Solve the folllowing question-->2e+3=5
Answer:
[tex]\boxed{\sf{e=1}}[/tex]Step-by-step explanation:
Isolate the term of e from one side of the equation.
2e+3=5First, you subtract by 3 from both sides.
⇒ 2e+3-3=5-3
Solve.
Subtract the numbers from left to right.
⇒ 5-3=2
Rewrite the problem down.
⇒ 2e=2
Divide by 2 from both sides.
⇒ 2e/2=2/2
Solve.
Divide the numbers from left to right.
⇒ 2/2=1
⇒ e=1
Therefore, the correct answer is e=1.I hope this helps you! Let me know if my answer is wrong or not.
Answer:
e = 1
Step-by-step explanation:
Subtract 3 both sides:
⇒ 2e + 3 = 5
⇒ 2e + 3 - 3 = 5 - 3
⇒ 2e = 2
Divide both sides by 2:
⇒ 2e = 2
⇒ 2e/2 = 2/2
⇒ e = 1
What is the range? ???????
Answer:
the difference between the highest and lowest values in a set of numbers.
Step-by-step explanation:
Mr. Young is buying a house. He can spend no more than 29% of his income on monthly house payments If he earns $4,200 per month, what is the largest monthly house payment he can make?
Answer:
$1218
Step-by-step explanation:
Our info is that Mr. Young's monthly income is $4,200 per month. Now if we multiply this by .29 (the %29 percent he can spend) We get $1218
PLSSSS HELP
Choose ALL answers that describe the polygon.
Answer:
RSTU is a parallelogram, quadrilateral, rectangle, rhombus, and square. NOT trapezoid.
Step-by-step explanation:
The shape has four sides, so it's a quadrilateral.
It has four equal sides so its a rhombus.
It has four right angles so its a rectangle.
It has four equal sides AND right angles so its a square.
And if all the sides are parallel (well, two pairs of parallel sides) its a parallelogram.