Answer:
The radius, r ≈ 6.55 m
Step-by-step explanation:
The given parameters are;
An inscribed hexagon in a circle
The area of the hexagon = Area of the circle - 24 m²
The formula for the area of the circle = π·r² = π × r²
The area of each of the six equilateral triangle in the hexagon = √3/4 × r²
Where;
r = The radius of the circle
The area of a sector of a circle in which the equilateral triangle is inscribed = 60/360×π·r² = 1/6×π·r² = 1/6 × Area of the circle
Given that the sector of the circle in which one of the six equilateral triangles of the hexagon is inscribed is 1/6 the area of the circle, the difference in area between the equilateral triangle and the sector = 24/6 = 4
Therefore, the difference in the area between the sector of the circle and the area of the equilateral triangle = 4 m²
We then write; 1/6×π·r²- √3/4 × r² = 4
r²·(1/6×π- √3/4) = 4
r² = 4/(1/6 ×π - √3/4) = 48/(2·π -3·√3)
r = √(48/(2·π -3·√3) = 6.55 m to 2 decimal places
The radius, r ≈ 6.55 m.
F(-4)=-8 and f(-8)=-11
Answer:
f=2 and f=11/8
Step-by-step explanation:
Let's solve your equation step-by-step.
f(−4)=−8
Step 1: Simplify both sides of the equation.
−4f=−8
Step 2: Divide both sides by -4.
−4f
−4
=
−8
−4
f=2
Let's solve your equation step-by-step.
f(−8)=−11
Step 1: Simplify both sides of the equation.
−8f=−11
Step 2: Divide both sides by -8.
−8f
−8
=−11/−8
f=11/8
guys once i get 10 brainliest i will start doing +50 points everday!! im at 7 btw !!
Answer:
omg yay congrats :)
Step-by-step explanation:
you can go to my profile page and answer 3 of my questions that only have one answer. you dont have to put a legit answer and i'll give you brainliest ❤️
Answer:
You are almost there!!
Step-by-step explanation:
One serving of Mike’s crackers has 150 calories and a mass of 30 grams. How many calories are in 6 grams of crackers?
Answer:
30Cals
Step-by-step explanation:
150/30*6
Easy.
Byron’s workout starts with a
warmup at home, and then he runs
at 4 mi/h. After half an hour of
running, he is 2 miles from home.
What is an equation in point-slope form that represents Byron’s
distance from home, y, after
x hours?
Answer:
An equation in point-slope form that represents Byron’s distance from home, y, after x hours is y=4x+2
Step-by-step explanation:
Speed of Byron = 4 miles / hour
Distance traveled in x hours = [tex]Speed \times time[/tex]
Distance traveled in x hours = 4x
We are given that After half an hour of running, he is 2 miles from home
So, Total distance = 4x+2
So, y = 4x+2
Hence an equation in point-slope form that represents Byron’s distance from home, y, after x hours is y=4x+2
Given h(x) = -4x – 5, solve for x when h(x) = 7.
Answer:
x=-3
Step-by-step explanation:
h(x)=7
-4x-5=7
-4x=12
x=-3
Answer: -3
Step-by-step explanation:
Some number minus 11 is equal to the product of the number and 18.
Answer:
n - 11 = 18n
Step-by-step explanation:
n−11=18n
Step 1: Subtract 18n from both sides.
n−11−18n=18n−18n
−17n−11=0
Step 2: Add 11 to both sides.
−17n−11+11=0+11
−17n=11
Step 3: Divide both sides by -17.
−17n−17=11−17
n=−1117
Answer:
n = −11/17
Does anyone know this? If the answer is correct ill mark you as the best answer!
Which of the following does NOT represent the equation y= 2x
Answer:
G
Step-by-step explanation:
In F, the graph goes up by two and only to the side by 1. 2/1 simplifies to 2.
In H, y being the double of x would be equal to 2/1 again.
And in J, the numbers are also being doubled.
The slope for G would just be 0, which is undefined.
Evaluate 2n + t2 when n =-4 and t = -10
Answer:
92
Step-by-step explanation:
Given
2n + t² ← substitute n = - 4 and t = - 10 into the expression
= 2(- 4) + (- 10)² = - 8 + 100 = 92
Answer: -28
Step-by-step explanation: 2x-4=-8 and -10x2=-20 -8+-20=-28
pls mark brainiest thanks
$19.39÷12 I just need the answer asap
Answer:
$1.62
Step-by-step explanation:
(Why not use a calculator for this?)
Answer:
19.39 divided by 12 is
1.615 or 1.61583333
answer for immediate brainliest
Answer:
3
Step-by-step explanation:
Question 9
An isosceles triangle and a square are shown below. If the perimeter of the triangle is 27 more than the
perimeter of the square, find the value of x.
Answer:
x = 9
Step-by-step explanation:
equation:
3x + 3x + x = x + x + x + x + 27
simplify:
7x = 4x + 27
3x = 27
x = 9
If a line passes through the point (0,-8), the y-intercept is
Answer:
y-intercept = -8
Step-by-step explanation:
The y-intercept is where the line goes through the y axis. It is also the value when x = 0. From what the problem gives us, we know the y-intercept is -8 because the x value is 0
b)simplify the expression
7x2 + 4x – 2 + 8x2 – 9x – 5
Answer:
=25x-7
Step-by-step explanation:
0.7686 ÷ -0.14 can someone answer this within 1 min for five star answer
Answer:
-5.49
Good Luck!!!
2) Use the elimination method to solve for x and y.
equation 1: -x/3 - y/6 = -4
equation 2: -x/6 + y/2 = -9
solve for y _____
solve for x _____
Answer:
1: 2x + y = 24
2: x - 3y = 54
Step-by-step explanation:
Answer:
[tex] y = - 3. \\ x = - 13.5[/tex]
Step-by-step explanation:
[tex]equation 1: -x/3 - y/6 = -4 \: \: = - \frac{x}{3} - \frac{y}{6} = - 4 \\ \\
equation 2: -x/6 + y/2 = -9 \: \: = - \frac{x}{6} + \frac{y}{2} = - 9 \\ \\ - \frac{x}{3} - \frac{y}{6} = - 4 \\ - 6x - 3y = - 72 ...(eq3.) \\ \\ - \frac{x}{6} + \frac{y}{2} = - 9 \\ - 2x + 6y = - 9...(eq4.) \\ \\ \\ 2 \times - 6x - 3y = - 72 ...(eq3.) = > - 6y = -1 44 \\6 \times - 2x + 6y = - 9...(eq4.)= > - 36y = -54 \\ - 6y - ( - 36y) = - 144 - ( - 54) \\ 30y = - 90 \\ y = - \frac{90}{30} \\ y = - 3. \\ x = - 13.5
[/tex]
what is 5(-x) equal to?
Answer:
?
Step-by-step explanation:
where are the options?
The measures of the angles of a triangle are shown in the figure below. Solve for x.
PLEASE HELP
Answer:
Step-by-step explanation:
GUYS WILL U PLS HELP ME I AM IN DESPERATE NEED OF iT!!!!!!!
Your Assignment
The most massive planet in the solar system, Jupiter, has a mass of about 1,898,000,000,000,000,000,000,000,000 kg.
The least massive planet is Mercury, which has a mass of about 330,000,000,000,000,000,000,000 kg.
How many times more massive is Jupiter than Mercury? Answer the questions to find out.
1. Estimate Jupiter's mass using a one-digit whole number times a power of 10. Be sure to include units.
Write your answer in the space below.
2. Estimate Mercury's mass using a one-digit whole number times a power of 10. Be sure to include units.
Write your answer in the space below.
3. Use your estimates to find out how many times more massive Jupiter is than Mercury. Express your answer in standard form (without using a power of 10). Show your work.
Write your answer in the space below.
Answer:
1)2 x 10^27 kg
2)3.30 x 10^23 kg
3)Jupiter is 5,751.51 times more massive than Mercury
Step-by-step explanation:
1)Mass of Jupiter is 2 x 10²⁷ kg.
2)Mass of mercury is 3.30 x 10²³ kg.
3)Jupiter is 5,751.51 times more massive than Mercury.
What is scientific notation?Numbers that are either too large or too little to be conveniently stated in decimal form can be expressed using mathematical symbols.
1. Jupiter, has a mass of about 1,898,000,000,000,000,000,000,000,000 kg.
The scientific notation is:- 2 x 10²⁷ kg.
2. Mercury, has a mass of about 330,000,000,000,000,000,000,000 kg.
The scientific notation is:- 3.30 x 10²³ kg.
Divide Jupiter's mass by the mass of mercury.
Jupiter / Mercury = 2 x 10²⁷ / 3.30 x 10²³
Jupiter / Mercury = 5,751.51
To know more about scientific notations follow
https://brainly.com/question/1767229
#SPJ2
What is the lower quartile? (CAN ANYONE PLEASE HELP:))
Answer:
the answer to that is 12
Step-by-step explanation:
1st, arrange the numbers from lowest to highest
2nd, group them into quarters
= 11, 12, 16, 16, 17, 18, 20
-lq. -mq. -uq.
2. The ground below your feet moves at the rate at which
A. A rocket takes off
B. Sound travels
C. Your fingernails grow
You order two servings of pancakes and a fruit cup . The cost of the fruit cup is $1.50 . You leave a 15% tip. Your total bill is 11.50$ . How much is one serving of a pancake ?
Answer:
$4.25
Step-by-step explanation:
(1.5 + 2p) x 1.15 = 11.5
1.725 + 2.3p=11.5
2.3p=9.775
p=4.25
chek
4.25+4.25+1.5=10
10×1.15=11.5
I'll mark u the brainliest if u answer this
Answer:
Option B
m<1 + m<2 = 180-m<3
Explanation:
This is how you will find the third interior angle of a triangle when two angles are already given.
What is this number written in scientific notation: 0.0000453
Answer:
4.53 x 10^-5
Step-by-step explanation:
Which expression can be used to convert 100 USD to Japanese yen?
1 USD = 113.83 Japanese Yen
100 USD = 100 x 113.83 Japanese Yen
100 USD = 11,383.00 Japanese Yen
mn-rs=x +2p solve for p
Answer:
[tex]p = \frac{mn-rs - x}{2} [/tex]
Step-by-step explanation:
[tex]if \: mn-rs=x +2p \\ x +2p = mn-rs \\ 2p = mn-rs - x \\ p = \frac{mn-rs - x}{2} [/tex]
43 +62 +57 + m / 4 = 55
find the slope and the y intercept of the points (0,1) and (2,-3)
Answer:
The slope is -2 and y intercept is 1
Step-by-step explanation:
The slope is found by finding the run, or change in x coordinates from coordinate 1 to 2, which is 2 in this problem, and the rise, or change in y coordinates from coordinate 1 to 2, which is -4 in this problem. To find the y-intercept, you need to find the point on the line that has a x coordinate of 0, which is (0,1) on this line, which means the y-intercept is the y value of the coordinate, or 1.
4. Determine the value of x.
Answer:
x=16
Step-by-step explanation:
(16*3)-2
48-2
46
134+46=180
Um I kinda need help on this and how to do it
Answer:
m = 1
Step-by-step explanation:
Slope is defined by the change in y over the change in x, [tex]\frac{\Delta y}{\Delta x}[/tex]. A trick here is to find where 2 points where the slope intersects a corner of the square grids. For example, here, it can be (0,1) and (1,0). Then, you count how many squares you needed to go up or down by and divide by the number of square you needed to move right or left by. If you move up or right, the value will be positive and vice versa for down and left. Which direction you go will depend on which point you start on. Here, we can see between (0,1) and (1,0), we need to move up 1 and right 1. Meaning 1/1 is the slope or m = 1. If this doesn't make sense, just ignore it but it may come in handy when you move to more complex problems where the slope is a fraction or something.
Answer:
b= -1
m=1
Step-by-step explanation:
the equation for a linear graph is y=mx+b
your y intercept would be -1 because thats where the line crosses on the y axis. The slope which would be 1 is because when you are on the point (0,-1) you go up one and one to the right and get (1,0)
therefore the equation would be
y=1x-1 or y=x-1
What is 2/0.75 simplified?
Answer:
5/4
Step-by-step explanation: