Answer:
[tex]r = 7\ km[/tex]
Step-by-step explanation:
The formula for the area of a circle is:
[tex]A = \pi r^2[/tex]
Since we know that a semicircle is half of a circle, we can say the area is:
[tex]A = \frac{1}{2}\pi r^2[/tex]
From here solve for r:
[tex]76.97 = \frac{1}{2}\pi r^2\\153.94 = \pi r^2\\\frac{153.94}{\pi} = r^2\\r = \sqrt{\frac{153.94}{\pi}}\\r = 7[/tex]
Part B
Find the equation of a line passing through the same point that f(x) passes through at x = 3 with a slope equal to the limit
you found in part A.
the equation in part A is x^3-4x^2+2 and when x=3 y=-7 so, (3,-7) is the point the equation for part B needs to pass through
The linear equation that has a slope of -7 and crosses the x-axis at (3, 0) is:
y = -7x + 21
How to find the linear equation?
A general linear equation is:
y = a*x +b
Where a is the slope and b is the y-intercept.
The slope must be equal to the limit found in part a, and you say that it is equal to -7, so the slope is -7. And for how is written the problem, I understand that it crosses the x-axis at x = 3.
Then we will have:
y = -7*x + b
Such that, when x = 3, y = 0, then:
0 = -7*3 + b
21 = b
Then the linear equation is y = -7x + 21
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Answer:
The line will pass through (3,-7) and has a slope of 3
Step-by-step explanation:
x=3 , f(x) = x^3 - 4x^2 + 2
f(3) = 3^3 -4(3)^2 + 2
f(3) = -7
Which of the following risk factors should be considered when choosing a form of investment for your money? Select all that apply.
interest rate
rate of Return
risk
term of investment
The risk factors should be considered when choosing a form of investment for your money is: interest rate and risk
What is investment?
Investment or investing means that an asset is bought, or that money is put into a bank to get a future interest from it.
While making an investment the investment consider:
Rate of inflation, it affects the value of the return.Investment History, it indicates the level of risk. Interest rate, it will show the real profit to be made.level of risk because if it is high, the potential loss will be higher.
So, The risk factors should be considered when choosing a form of investment for your money is: interest rate and risk
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What are geometric sequences?
What is the slope below?? Please answer quickly! Due tonight.
Find mPQ in the circle to the right
Find the area of the circles.
Answer:
200.96 square units
Step-by-step explanation:
d = 16
r = diameter ÷ 2 = 16 ÷ 2
r = 8
[tex]\boxed{Area \ of \ circle = \pi r^2}[/tex]
= 3.14 * 8* 8
= 200.96 square units
Answer:
See Explanation!
Step-by-step explanation:
Brief History:
While a circle, symbolically, represents many different things to many different groups of people including concepts such as eternity, timelessness, and totality, a circle by definition is a simple closed shape. It is a set of all points in a plane that are equidistant from a given point, called the center. It can also be defined as a curve traced by a point where the distance from a given point remains constant as the point moves. The distance between any point of a circle and the center of a circle is called its radius, while the diameter of a circle is defined as the largest distance between any two points on a circle. Essentially, the diameter is twice the radius, as the largest distance between two points on a circle has to be a line segment through the center of a circle. The circumference of a circle can be defined as the distance around the circle, or the length of a circuit along the circle. All of these values are related through the mathematical constant π, or pi, which is the ratio of a circle's circumference to its diameter, and is approximately 3.14159. π is an irrational number meaning that it cannot be expressed exactly as a fraction (though it is often approximated as 22/7) and its decimal representation never ends or has a permanent repeating pattern. It is also a transcendental number, meaning that it is not the root of any non-zero, polynomial that has rational coefficients. Interestingly, the proof by Ferdinand von Lindemann in 1880 that π is transcendental finally put an end to the millennia-old quest that began with ancient geometers of "squaring the circle." This involved attempting to construct a square with the same area as a given circle within a finite number of steps, only using a compass and straightedge. While it is now known that this is impossible, and imagining the ardent efforts of flustered ancient geometers attempting the impossible by candlelight might evoke a ludicrous image, it is important to remember that it is thanks to people like these that so many mathematical concepts are well defined today.
Solution: (Circle 1)⇒ Given :
Radius is 5Diameter is 10 (Can be known by adding the radius together.)Using the formulas
[tex]A=\pi r^{2} \\d=2r[/tex]
Solving for [tex]A[/tex]
[tex]A=\frac{1}{4} \pi d^{2} =\frac{1}{4} *\pi *10^{2}[/tex] ≈ [tex]78.53982[/tex]
[tex]A[/tex] ≈ [tex]78.54...rounded[/tex]
Solution: (Circle 2)⇒ Given :
Diameter is 16 Radius is 8Using the formulas
[tex]A=\pi r^{2} \\\d=2r[/tex]
Solving for [tex]A[/tex]
[tex]A=\frac{1}{4} \pi d^{2} *\pi *16^{2}[/tex] ≈ [tex]201.06193[/tex]
[tex]A[/tex] ≈ [tex]201.06...rounded[/tex]
The coordinates of point R are (−3, 2), and the coordinates of point T are (4, 1). What is the length of RT?
Answer: [tex]d=\sqrt{50}, 5\sqrt{2}, \,\text{or about}\;7.1[/tex]
Step-by-step explanation:
We can use the distance formula to solve.
[tex]\displaystyle d=\sqrt{(x_{2}-x_{1})^2 +(y_{2}-y_{1})^2}[/tex]
[tex]\displaystyle d=\sqrt{(4--3)^2 +(1-2)^2}[/tex]
[tex]\displaystyle d=\sqrt{(4+3)^2 +(1-2)^2}[/tex]
[tex]\displaystyle d=\sqrt{(7)^2 +(-1)^2}[/tex]
[tex]\displaystyle d=\sqrt{49+1}[/tex]
[tex]\displaystyle d=\sqrt{50}[/tex]
d ≈ 7.1
Tomic and Brooke make a game of shooting free throws. Each basket is worth 212 points. Each miss is worth −34 points. Out of 30 free throws, they make 16 baskets. What is the correct number of points that Tomic and Brooke scored?
Answerfdf:d
fd
dffdfsd
How much time will it take for an object to move 9 meters, if it moves 2 m/s? show your solution
Step-by-step explanation:
How much time will it take for an object to move 9 meters, if it moves 2 m/s?How do you find the speed of a falling object?
Calculate the final free fall speed (just before hitting the ground) with the formula v = g*t = 9.80665 * 8 = 78.45 m/s. Find the distance traveled by the falling object, using the equation s = 0.5 * g * t^2 = 0.5 * 9.80665 * 8^2 = 313.8 m.
Answer:
4.5
Step-by-step explanation:
4.5 x 2 = 9
very simple
8 sandwiches cost £18.40
Find the cost of 5 sandwiches.
Answer:
11.5
because
8 18.40
5 ?
5×18.40=92
92÷8=11.5
Answer:
£11.50
Step-by-step explanation:
Well to solve this equation you must divide the total cost of the 8 sandwhiches by 18.40
18.40 divided by 8 is 2.30
So that means the cost per sandwhich is £2.30
Then all you have to do is multiply 2.30 by 5
2.30 divided by 5 is 11.50
So the cost of 5 sandwiches would be £11.50
6 2+8×3=
btw the two is supposed to be above the 6 like if you said 6 to the second power
Answer:
60
Step-by-step explanation:
(* = multiplication symbol)
6^2+8*3
36+8*3
36+24
60
Answer:60
Step-by-step explanation:
Use bidmas
(Brackets Indices Division Multiplication Addition Subtraction)
so first do 6 squared =36
Then 8x3 =24
Then 36+24= 60
The two dot plots show the number of goals per game. The data for each is taken from a random sample within a soccer league over a 1-month period. Complete the statements below. Goals Scored in English League A dot plot.
Answer:
first blank is 3
second blank is 2.5
last blank is 0.5
Step-by-step explanation:
Answer: Look at the attachment
3
2.5
0.5
Step-by-step explanation:
I NEED HELP! ASAP, THIS IS SO HARD AND MY BRAIN HURTS, IF U HELP ME WITH OTHER QUESTIONS LIKE THIS ILL GIVE U 50+ POINTS
Find the value of "x" in x² -2 = 47
Thanks :)
[tex]~~~~~x^2 -2 = 47\\\\\implies x^2 = 47 +2 \\\\\implies x^2 = 49\\\\\implies x = \pm\sqrt{49}\\\\\implies x = \pm 7\\\\\text{Hence, }~ x = 7,~~ x = -7[/tex]
part A: Write the measure of each exterior angle directly on the diagram.
part b:What is the sum of the exterior angles of this pentagon?
Answer:
360°
Step-by-step explanation:
Sum of exterior angle of any polygon = 360
Sum of exterior angle of pentagon = 360
The formula for the area of a triangle is bh=A. Which of the following is not a possible first step to
rearrange this formula to find the base of the triangle?
Answer:
h = A ÷ b
Step-by-step explanation:
The base is to be the subject of formula not height so dividing through the equation by b to give h = A ÷ B is not a possible first step
What is the value of x that makes 4(2x + 22.2) = 4(x – 17.87) true?
x=4.33
X=-13.36
O
Ob
Ос
Od
X=-40.07
x=40.07
Answer:
try youre best to complete youre succsess
Help me! I don't understand algebra.
Step-by-step explanation:
g) 6g=54
g=54/6
g=9
h) 7h=73-10
h=63/7
h=9
I) 8x-32=48
8x=48-32
x=16/8
x=2
j) 63=27+9j
63-27=9j
36/9=j
4=j
k) 101-61=4x
40/4=x
20=x
l)46=8+x-5
46=3+x
46-3=x
43=x
Hope this helps you
have a nice day
The selling price of an item is $720. It is marked down by 30%, but this sale price is still marked up from the cost of $420. Find the markup from cost to sale price. Please help!
Answer:
20%
Step-by-step explanation:
old selling price = $720
new selling price = 720 x (1 - 30%) = 720 x 70% = $504
cost = $420
markup = (504 - 420)/ 420 = 84/420 = 20%
What is the area of this triangle?
At a real estate agency, an agent sold a house for $382,000. The commission
rate is 5.5% for the real estate agency. The commission for the agent is 30%
of the amount the real estate agency gets.
Answer:
403010
Step-by-step explanation:
Because the rate is increasead and 30% is used as well as 5.5% and the restate agency gets $383,000
SEE IMAGE PLEASE !!!
Answer:
A. 38
Step-by-step explanation:
Diagonals of a rhombus bisect 90° at the center. Taking O to be the center :
90° + x° + (x +14)° = 180° [Angle Sum Property]2x + 104 = 1802x = 76x = 38Option AThe length of the hypotenuse of a 30°–60°–90° triangle is 13. Find the perimeter.
Answer:
The hypotenuse is 12 so the other side lengths are 6 and 6sqrt(3). Therefore the perimeter is 18 + 6sqrt(3). i hope it helps if not im glad to help step by step
Step-by-step explanation:
The Cooper family drove 987.6 miles on their vacation. They drove the same number of miles each day. If the trip was 6 days, how many miles did they drive each day?
Answer:
164.6
Step-by-step explanation: i'm a human calculator
Answer:
164.6
Step-by-step explanation:
Divide 987.6 by 6 = 987.6/6= 164.6
PLEASE HELP !!!! I WILL GIVE BRAINLISET ! Find the volume of the sphere.
Either enter an exact answer in terms of pi or use 3.14, for π and round your final answer to the nearest hundredth.
Step-by-step explanation:
Volume = 4πr³/3
= 4•7³•π/3
=1372π/3
= 1372•3.14/3
≈ 1436.03 units³
to the nearest hundredth.
volume of a l=10 x w=10 x h=8in triangular prism
WILL MARK AS BRAINIEST
14
43
Use a unit multiplier to convert 965 centimeters to meters.
a
Answer:
9.65 meters
Step-by-step explanation:
965 cm * 1 m / 100 cm = 9.65 m
Answer:
by multiplying the numbers
What is 8C6?
O A. 10
O B. 28
O C. 14
O D. 35
Answer: B
Step-by-step explanation:
2yx^0/x^4
Simplify. I give Brainliest,.
Answer:
2y/x^4
Step-by-step explanation:
Apply the exponent rule: a^0 = 1, assuming a [tex]\neq[/tex] 0
Hence,
x^0 = 1
2y * 1/x^4
Multiply 2 and 1
2*1 = 2
= 2y/x^4
a 3. A card is pulled from a standard deck of cards.
Can you find P(queen or hearts)? (make sure you aren't double counting!!!)
Answer:
row 4 answer 6 i just took the quiz
