discuss why area: perimeter for a square ÷ 4.
Step-by-step explanation:
because its formula is 4L
What is another name for 13?
a. (15+3)+7
b.
(4 x 3) + 3
c.
3+ (5 x 2)
d.
3 x 3 +5
What is x, the height of the tree?
Answer:
21 feet
Step-by-step explanation:
It increases by a rate of 2.33333333,we know this by doing 14 divided by 6. 9 x 2.33333333 is 21
(although this might be incorrect)
Answer:
21 feet
Step-by-step explanation:
Ratio between height and distance from point on ground :
9 ft / 6 ft1.5Taking ratio between x and 14 :
1.5 = x/14x = 14 × 1.5x = 21 feetWhat is the area of a regular nonagon if its apothem
has a length of 6 feet and each side has a length of
7.2 feet?
Answer:
194.4
Step-by-step explanation:
Formula for finding the area of any polygon :
number of sides (n) x 0.5 x length of sides (s) x apothem (a)
Area = 9 x 0.5 x 7.2 x 6 = 194.4
hope this helps :)
6x5= 9x6= 8x7= 2x3= please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
You are planting a vegetable garden on a plot of land that is a sector of a circle, as shown below.
You want fencing along only the curved edge of the garden.
a. Use the figure to find the length of fencing you will need.
15 ft
75°
b. How much area will be available for planting?
Answer:
(a) 19.63 ft
(b) 147.26 ft^2
Step-by-step explanation:
(a) 75/360 degrees . 2 . pi . 15 = 19.63
(b) 75/360 degrees. pi . 15^2 = 147.26
Answer:
a) 19.63 ft (2 dp)
b) 147.26 ft² (2 dp)
Step-by-step explanation:
To find the length of the curved fence, use the formula for arc length of a circle.
To find the area of the vegetable garden, use the formula for area of a sector of a circle.
Formula
[tex]\textsf{Arc length}=2 \pi r\left(\dfrac{\theta}{360^{\circ}}\right)[/tex]
[tex]\textsf{Area of a sector}=\left(\dfrac{\theta}{360^{\circ}}\right) \pi r^2[/tex]
[tex]\quad \textsf{(where r is the radius and}\:\theta\:{\textsf{is the angle in degrees)}[/tex]
Calculation
Given:
[tex]\theta[/tex] = 75°r = 15 ft[tex]\begin{aligned}\implies \textsf{Arc length} &=2 \pi (15)\left(\dfrac{75^{\circ}}{360^{\circ}}\right)\\ & = 30 \pi \left(\dfrac{5}{24}\right)\\ & = \dfrac{25}{4} \pi \\ & = 19.63\: \sf ft\:(2\:dp)\end{aligned}[/tex]
[tex]\begin{aligned} \implies \textsf{Area of a sector}& =\left(\dfrac{75^{\circ}}{360^{\circ}}\right) \pi (15)^2\\& = \left(\dfrac{5}{24}\right)\pi \cdot 225\\& = \dfrac{375}{8} \pi\\& = 147.26\: \sf ft^2 \:(2\:dp)\end{aligned}[/tex]
Baxter is thinking about buying a car. The table below shows the projected value of two different cars for three years.
Car 1 (value in dollars)
Year 1: 18,500
Year 2: 17,390
Year 3: 16,346.60
Car 2 (value in dollars)
Year 1: 18,500
Year 2: 17,500
Year 3: 16,500
Part A: What type of function, linear or exponential, can be used to describe the value of each of the cars after a fixed number of years? Explain your answer.
Part B: Write one function for each car to describe the value of the car f(x), in dollars, after x years.
Part C: Baxter wants to purchase a car that would have the greatest value in 10 years. Will there be any significant difference in the value of either car after 10 years? Explain your answer, and show the value of each car after 10 years.
Car 1: It is an exponential function that is given as P = 18,500 (0.9595)ⁿ and the price after 10 years is $12,235.5.
Car 2: It is a linear function that is given as 2000x + 3y = 55500 and the price after 10 years is $11,833.33.
And Yes, there is a significant difference.
What is a function?A function is a statement, rule, or law that establishes the connection between two variables. In mathematics, functions are everywhere and are necessary for constructing physical connections.
Baxter is thinking about buying a car. The table below shows the projected value of two different cars for three years.
Car 1 (value in dollars)
Year 1: 18,500
Year 2: 17,390
Year 3: 16,346.60
Car 2 (value in dollars)
Year 1: 18,500
Year 2: 17,500
Year 3: 16,500
The exponential function describes car 1.
Then the function will be
[tex]\rm P = 18500\times (0.95995)^n[/tex]
The linear function describes car 2.
[tex]\rm y \ - \ 18500 = \dfrac{-2000}{3}(x - 0)\\\\\\3y - 55500 = -2000x\\\\\\2000x +3y = 55500[/tex]
Then the value of the car 1 after 10 years will be
[tex]\rm P = 18500\times (0.95995)^{10}\\\\\\P = \$ \ 12,235.5[/tex]
Then the value of the car 2 after 10 years will be
[tex]\rm 2000 \times 10 +3y = 55500\\\\y = \$ \ 11,833.33[/tex]
Yes, there is a significant difference.
More about the function link is given below.
https://brainly.com/question/5245372
#SPJ1
Due to its weakening steel industry, Clay County has been experiencing population decline of 3% every year. The current population is 10,300 people. Assuming the trend continues, what will the population be in 10 years?
Using an exponential function, it is found that the population of Clay County will be of $13,482.
What is an exponential function?An increasing exponential function is modeled by:
[tex]A(t) = A(0)(1 + r)^t[/tex]
In which:
A(0) is the initial value.r is the growth rate, as a decimal.In this problem, the current population is 10,300 people, with a growth rate of 3%, hence A(0) = 10,300 and r = 0.03.
The equation is given by:
[tex]A(t) = A(0)(1 + r)^t[/tex]
[tex]A(t) = 10300(1 + 0.03)^t[/tex]
[tex]A(t) = 10300(1.03)^t[/tex]
Hence, in 10 years, the population will be given by:
[tex]A(10) = 10300(1.03)^{10} = 13842[/tex]
More can be learned about exponential functions at https://brainly.com/question/25537936
#SPJ1
Answer: 7,595
Step-by-step explanation:
ixl
please help w this question!!!
Answer:
72
Step-by-step explanation:
The two right triangles are congruent by the HA congruence theorem, so corresponding sides have the same length.
QR = QT
3p = p +48 . . . . . . substitute the given measure expressions
2p = 48 . . . . . . . subtract p
p = 24 . . . . . . . divide by 2
QT = p +48 = 24 +48 . . . . . use the value of p in the expression for QT
QT = 72
(20POINTS) I WILL MARK BRAINLIEST IMAGE IS BELOW
Answer:
10.6
Step-by-step explanation:
It forms a right angle traingle so use
16^2-12^2=112
and
root of 112=10.5830052443
Answer:
10.6cm is the radius
Step-by-step explanation:
1)First You square the lateral height (12cm)
=144
2)Then you square the height (16cm)
=256
3)Then you subtract height squared from lateral height squared
256-144=112
4)Then Find the square root from the result of step 3
112 squared is 10.58 (round to the nearest tenth)
10.6 is your answer!
Hope this helps BRAINLIEST PLEASE
Write a probability model for this experiment , and use the probability model to predict how many times Stacey would spin a 6 if she spun 50 times. Give the probabilities as decimals, rounded to 2 decimal places
The value of n is 50 and probability is 1/6, and 8.33 number of times Stacey would spin a 6.
What is probability?It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
Consider getting a 6 as a success. In this example, the chance of getting a 6 in a single spin is 1/6. The number of 6s in 50 spins can be considered a binomial random variable. Then, if X is the number of trials, we receive a score of 6 out of 50. Then there's the model below.
[tex]\rm P(X = k) = \binom{50}{K}\binom{1}{6}^k\binom{5}{6}^{50-k}[/tex]
From the binomial random variable of n trials with a probability of success of p.
We will have, n = 50, p = 1/6
Number of times Stacey would spin a 6 = 8.33
Thus, the value of n is 50 and probability is 1/6, and 8.33 number of times Stacey would spin a 6.
Learn more about the probability here:
brainly.com/question/11234923
#SPJ1
help asap pls pls pls
Answer:
the answer is 13, all you had to do was substitute 5 for N, so all you had to do was 3 + 2(5) which is 13
NEED HELP QUICKLY
(please include your work)
19. Solve for the angle x.
sin²(2x) = 1
A. 45° + 360°n, 135° + 360°n
B. 45° + 360°n, 135° + 360°n, 225° +
360°n
C. 225° +360°n
D. no solution
E. 45° +360°n, 135° + 360°n, 225° +
360°n, 315° +360°n
F. 45° + 360°n, 225° + 360°n
( A is incorrect)
Answer:
Choice E.
Step-by-step explanation:
sin^2 2x = 1
sin 2x = ± 1
So 2x = 90, 270 , 450, 630 etc
x = 45, 135, 225, 315 etc
= 45 + 360n, 135 + 360n, 225 + 360n, 315 + 360n
What is the specific heat of a material that gains 600 joules of energy when a 0.25 kg object increases in temperature by 3C?
Group of answer choices
800 J/kgC
1200 J/kgC
300 J/kgC
450 J/kgC
Answer:
Step-by-step explanation:
800 J/kgC
What is the specific heat of a material that gains 600 joules of energy when a 0.25 kg object increases in temperature by 3C?
it is 800 J/kgC
On a coordinate plane, kite w x y z has points (1, 1), (3, 4), (5, 1), (3, negative 3). kite wxyz is graphed on a coordinate plane. what is the area of the kite? 7 square units 8 square units 14 square units 16 square units
The area of the kite will be C. 14 square units.
How to calculate the area?From the information given, on coordinate plane, kite w x y z has points (1, 1), (3, 4), (5, 1),
The area of the kite will be;
= 2(1/2 × 7 × 2)
= 2 ×7
= 14 units²
Therefore, the area of the kite will be 14 square units.
In conclusion, the correct option is C.
Learn more about area on:
https://brainly.com/question/25292087
#SPJ4
Answer:
14 square units
Step-by-step explanation:
Im Not Sure of this. Can I get some help?
Answer: The amount of grain it can hold can also be called it's volume. 423.9
The formula for volume is PI × Raduis² × Height
And for the radius we divide the diameter by 2.
Answer:
Option A.
V = π × r(9)² × 15 ≈ 3,817.04
Which rounds closest to
3,815.10 inches
what is the surface area of this solid?
_______ square meters
o 101
o 107
o 116
o 131
Answer:
The surface area of this solid is:
b. 107
Step-by-step explanation:
To understand this answer we need to analyze it. First, we have different geometric figures composing the solid. A pyramid and a rectangular prism. We need to obtain the surface, not the volume so we need to obtain the area of all the figures composing the pyramid and the prism without the hidden part of the pyramid base. We need to obtain the following areas:
2 rectangles with the following measures= W=2 L= 8
1 rectangle with the following measures= W=3 L=8
1 rectangle with the following measures= W=3 L 5
2 rectangles with the following measures= W=2 L=3
4 triangles with the following measures= B=3 H=4
Following the formula for the rectangles W x L we obtain a total area for them of 83 square meters.
Following the formula for the triangles b x h / 2 we obtain the following area: 24 square meters. Then we add both and obtain 107 square meters.
Someone help me with this please
Answer:
the answer is c=34
Step-by-step explanation:
use the pythogoras therom since there is a right angle triangle c2=a2+b2
hope this helped:)
Answer:
34
Step-by-step explanation:
[tex]Formula: a^2+B^2=C^2[/tex]
[tex]30^2= 900 \\\\16^2= 256\\\\900+256= 1156\\\\[/tex]
[tex]c^2=1156[/tex]
to find the answer we have to figure out what times itself = 1156
30x30=900 greater than 30 35x35=1225 less than 35
Rectangle ZYXW has vertices Z ( -1,-4) , Y (0,-2), X (4,0), and W (3,-4). What will be the vertices of the rotated image if the rectangle is rotated around the origin counterclockwise by 90 degrees?
The coordinates of the rotated image are Z' = (4,-1), Y' = (2,0), X' = (0,4) and W' = (4,3)
How to determine the vertices of the image?The points are given as:
Z ( -1,-4) , Y (0,-2), X (4,0), and W (3,-4)
The rule of rotation around the origin counterclockwise by 90 degrees is
(x,y) => (-y,x)
Using the above rule, we have:
Z' = (4,-1)
Y' = (2,0)
X' = (0,4)
W' = (4,3)
Hence, the coordinates of the rotated image are Z' = (4,-1), Y' = (2,0), X' = (0,4) and W' = (4,3)
Read more about rotation at:
https://brainly.com/question/4289712
#SPJ1
The graph of the parent tangent function was transformed such that the result is function f. f(x) = tan(x + 1) Which graph represents function f? OA. رہے O C. -4 -2 O D. f(x) 4- 2- -2- 2 B. f(x) 4- 2- H 0 -4 -2/ -2- f(x) 4- 2- D X 10 -4 -2 4 -22- f(x) 4. 2- Al X 0 -2 -2- -4- 2 4 2 X 4 X
Using translation concepts, it is found that graph D represents the function f(x) = tan(x + 1).
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
The function f(x) = tan(x + 1) is a translation of one unit to the left of g(x) = tan(x), which has g(0) = 0, hence at the translated function g(-1) = 0, which means that graph D represents the function f(x).
More can be learned about translation concepts at https://brainly.com/question/4521517
#SPJ1
Right triangles below, find the values of the lengths d and h. Round your answers to the nearest tenth 
Answer:
Here is the answer...hope it helps
A picture frame can hold a photograph that is 16 inches long and 12 inches wide.
What is the area of the photo that fits the frame?
Answer: The area of the photo that fits the frame is 192 square inches.
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
Area of a rectangle (A) = Length x width
Replacing with the values given and solving for A (area):
A = 16 x 12 = 192 in2
The area of the photo that fits the frame is 192 square inches.
Feel free to ask for more if needed or if you did not understand something.
question on similar triangles attatched
Answer:
h = 24 cm
Step-by-step explanation:
The triangles are similar.
Their dimensions are proportional.
Finding scale factor :
DC/AE10/201/2Finding h :
h + h/2 = 363h/2 = 363h = 72h = 24 cmhelpppppp meeee728727/7/
i could say you are correct.
kaii~ <3
what is the approximate value for 683 divided by 19
Answer:
Your answer is: 36!
Step-by-step explanation:
Hope this helped :)
Simplify using basic trigonometric identities
Answer:
1.cosx×cscx
=cosx×1/sinx
=cosx/sinx
=cotx
2.cotx×secx×sinx
=1/tanx×1/cosx×sinx
=1/tanx×sinx/cosx
=1/tanx×tanx
=1
hope it helps you
find the unit vector in the direction of v= 2i+ j + k
Consider the following shape. Find the value of x. Round your answer to two decimal places.
Answer: 7.81
Step-by-step explanation:
Can this please be worked out so I can have a better understanding?
Given the equation (picture 1)
and using the formula(picture 2)
find A, B, and C
Please if take your time to break it down for me so I can use it as a guide for the rest of the test!!! Thx <3 :)
Step-by-step explanation:
no, no, you use the equation to identify a, b and c.
then you use the formula with these values to get the solutions to the equation (the values of x for which the equation delivers 0).
always remember, a quadratic equation always has 2 solutions. sometimes at least one of them are not a real number, sometimes the 2 springs are equal, ...
x² - 4x - 2 = 0
a, b, c are the factors of the terms in x and the constant term.
so,
a = 1
b = -4
c = -2
x = (-b ± sqrt(b² - 4ac))/(2a)
x = (4 ± sqrt((-4)² - 4×1×-2))/(2×1) =
= (4 ± sqrt(16 + 8))/2 = (4 ± sqrt(24))/2 =
= (4 ± sqrt(4×6))/2 = (4 ± 2×sqrt(6)) / 2 =
= 2 ± sqrt(6)
x1 = 2 + sqrt(6)
x2 = 2 - sqrt(6)
Answer:
x = 4.45 and x=-0.45
Step-by-step explanation:
A = 1
B= -4
C = -2
= [tex]\frac{-(-4) \sqrt{ (-4)^{2} -4 (1)(-2) } }{2(1)}[/tex]
= [tex]\frac{4\sqrt{16+8} }{2}[/tex]
= [tex]\frac{4\sqrt{24} }{2}[/tex]
X = 4 + [tex]\sqrt{24}[/tex] / 2
x = 4.45
For x2
x= 4 - [tex]\sqrt{24}[/tex] / 2
x=-0.45
which graph best describes the solution of 3m > 21
Answer:
See below
Step-by-step explanation:
I don't see any graphs, but if you solve the inequality by dividing 3 on both sides, you get [tex]m > 7[/tex]. This means that all [tex]m[/tex] greater than 7, except 7 itself, are included in the solution set.
Ideally, I assume the answer would be a number line with an open circle at m=7 to show it is not included, and then a shaded arrow pointing to the right to show all possible solutions greater than 7.
