The distance around the perimeter would be 120 ft.
What is perimeter?Perimeter is the distance around the edge of a shape.
The complete question is
A garden is designed in the shape of a rhombus formed from 4 identical 30°-60°-90° triangles. The shorter distance across the middle of the garden measures 30 feet.
A rhombus is shown. Lines are drawn from each point to the opposite point to form 4 right triangles. The other 2 angle measures are 30 and 60 degrees. The base length of each triangle is 15 feet.
What is the distance around the perimeter of the garden?
let AE is the half of the diagonal AC.
AC = 30 ft.
So, AE = ½ * 30
AE = 15 ft
Now, using trigonometry
sin 30 = 15/AD
0.5= 15/AD
AD= 30 ft
Hence, distance around the perimeter would be: AD+AD+AD+AD=
=30 ft + 30 ft + 30 ft + 30 ft
= 120 ft.
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Answer:A
Step-by-step explanation: just took it
The mean of a set of 10 number is 56,
If the mean of the first nine is 55 find the 10th number
Answer:
65
Step-by-step explanation:
10*56=5609*55=495560-495=65=65Using the segment addition postulate, which is true?
The complete question is
"Using the segment addition postulate, which is true?
AB + BC = AD
AB + BC = CD
BC + CD = AD
BC + CD = BD"
Using the segment addition postulate, the true option is D; BC + CD = BD.
What is a line segment?A line segment is a straight line with finite length, and thus, have to endpoints(points on either ends).
We have been given the number line and four points A, B, C, and D on the line with coordinates -6, -1, 2, and 8 respectively.
(a) L.H.S. = AB + BC = 5 + 3 = 8,
R.H.S = AD = 14 ≠ 8.
So, this option is incorrect.
(b) L.H.S. = AB + BC = 5 + 3 = 8,
R.H.S = CD = 6 ≠ 8.
So, this option is incorrect.
(c) L.H.S. = BC + CD = 3 + 6 = 9,
R.H.S = AD = 14 ≠ 9.
So, this option is incorrect.
(d) L.H.S. = BC + CD = 3 + 6 = 9,
R.H.S = BD = 9.
So, this option is correct.
Hence, the correct option is (d).
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Solve: -1/2 + c = 31/4
(1/2 and 31/4 are fractions)
[tex]~~~-\dfrac 12 + c = \dfrac{31}4\\\\\\\implies c = \dfrac{31}{4}+\dfrac 12\\\\\\\implies c = \dfrac{31}{4}+ \dfrac 24\\\\\\\implies c = \dfrac{31+2}{4}\\\\\\\implies c = \dfrac{33}4[/tex]
Find the measure of angle F if angle D = 88°
Answer:
52
Step-by-step explanation:
Two triangles are similar
m<B = m<E
m<C = m<D
m<A = m<F
now, the sum of interior angles in a triangle is equal to 180
angle B is given as 40 (so angle E is also 40) and angle D is given as 88 to find m<F:
40 + 88 + m<F = 180 add like terms
128 + m<F = 180 subtract 128 from both sides
m<F = 52
i need the answer quickly
Answer:
scatter plot 3
Step-by-step explanation:
No correlation exists when there is no relationship between two variables. For example there is no relationship between the x-axis to the y-axis while the other plots has noticeable linear correlation.
help me on this question. If l || m, m7 = 2x and m2 = x, then what is the measure of angle 2?
Answer:
i dont know bc its not the complete expression
Step-by-step explanation:
14 + w is the same as which expression?
A
14w
B
14 - w
C
w + 14
D
w - 14
Answer:
C
Step-by-step explanation:
14 + w is the same as w + 14
Answer:
C. w + 14.
Step-by-step explanation:
The order does not matter when you are adding terms.
this is called the Commutative Property of Addition.
1
Use f(x) = ½ x and ƒ˜¹(x) = 2x to solve the problems.
f(2)=
f¹1)=[
f(f(2)) =
Answer:
f(2) = 1
(1) = 2
(f(2)) = 2
Step-by-step explanation:
f(x) = x
(x) = 2x
f(2) = (2)
f(2) = 1
(1) = 2(1)
(1) = 2
(f(2)) = 2((2))
(f(2)) = 2(1)
(f(2)) = 2
The function's solution is given as follows:
f(1) = 2
f(f(2)) = f(1) = f(1) = 1/2
What is a function?A function is a mathematical formula that illustrates the relationship between the dependent and independent variables.
The independent variable's value and the dependent variable's value both change in the function.
Mathematical expression is defined as the relationship between numerical variables and mathematical operations such as addition, subtraction, multiplication, and division.
For the given function [tex]f(x) = \dfrac{1}{2}x[/tex],
[tex]f(2) =\dfrac{1}{2} (2) = 1[/tex]
For the given function [tex]f^{-1}(x) = 2x[/tex],
[tex]f'(1) = 2(1) = 2[/tex]
Therefore, the solution for the function is [tex]f^{1}(1) = f^{-1}(1) = 2[/tex]
The composition of functions to find f(f(2)):
[tex]f(f(2)) = f(1) = \dfrac{1}{2} (1) = \dfrac{1}{2}[/tex]
Therefore, the solution for the function [tex]f(f(2)) = \dfrac{1}{2}[/tex].
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The graphs of f(x) = -2x and g(x)=()* are shown.
What are the solutions to the equation -2x = ()*?
Select each correct answer.
0-2
0 -1
02
04
-10-8-6-4
10
8
6-
72
-4
6
in
8
10+
2 4 6 8 10
The solutions to the equation -2x = 2^x are (1,2) and (2,4)
How to determine the solutions?The attached graph represents the missing part of the question
The equations are given as:
f(x) = -2x
g(x) = 2^x
The solution to -2x = 2^x is the points where the graphs of f(x) and g(x) intersect
From the attached graph, the points of intersection are:
(1,2) and (2,4)
Hence, the solutions to the equation -2x = 2^x are (1,2) and (2,4)
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Ninety members of a gym were asked whether or not they use a treadmill when they exercise and whether or not they lift weights when they exercise.
The results of the poll are as follows:
14 members do not use a treadmill or lift weights
31 members use a treadmill but do not lift weights
28 members lift weights but do not use a treadmill
17 members use a treadmill and lift weights
Which two-way table represents the information found in the poll?
The answer is Y
Step-by-step explanation:
You have to compare the numbers with conditions both in Rows and Columns.
Pleaseeee!
I need help evaluating this:
Tan 2 theta-(1-tan^ 2 )=?
Answer:
[tex]\tan \left(2\theta\right)-1+\tan ^2\left(\theta\right)[/tex]
Key:
• [tex]-\left(a-b\right)=-a+b[/tex]
Step-by-step explanation:
[tex]\tan \left(2\theta\right)-\left(1-\tan ^2\left(\theta\right)\right)[/tex]
[tex]-\left(1-\tan ^2\left(\theta\right)\right)=-1+\tan ^2\left(\theta\right)[/tex]
[tex]=\tan \left(2\theta\right)-1+\tan ^2\left(\theta\right)[/tex]
A physical therapist claims that 75% of people lose their balance if they close their eyes while standing on one foot. A gymnast feels that the rate is less than 75%. To test this, she randomly selects 100 people and finds that 80 of them lose their balance while standing on one foot. To determine if these data provide convincing evidence that the proportion of people who lose their balance while standing on one foot and closing their eyes is less than 75%, 150 trials of a simulation are conducted. The gymnast is testing the hypotheses: H0: p = 75% and Ha: p < 75%, where p = the true proportion of people who will lose their balance while standing on one foot and closing their eyes. Based on the results of the simulation, what is the estimate of the P-value of the test? A dotplot. A number line labeled simulated sample percentage of people who lose balance goes from 64 to 88 percent. 64, 3; 66, 3; 67, 4; 68, 8; 69, 5; 70, 7; 71, 8; 72, 11; 73, 15; 74, 12; 75, 11; 76, 8; 77, 18; 78, 10; 79, 10; 80, 5; 81, 4; 82, 2; 83, 2; 84, 1; 85, 2; 87, 1. 0.1133 0.17 0.887 0.92
Answer:
75
Step-by-step explanation:
becAUSE IF YOU TEST IT THATS UR ANSWER
CORRECT ANSWER GETS BRAINLIST
Philani bough a scooter for R15 000. He paid 15% of the amount in cash and sgned a hire-purchase agreement to pay the balance in 24 equal monthly instalments. The interest rate is 10% per annum.
How much did he pay in cash?
Calculate the total amount that he must still pay.
3.3.1. Calculate the new cost per night of the standard and family standard chalets. Round of (4) your answer to the nearest hundred. 3.3.2. Calculate the percentage increase that Pule proposes for the Luxe suite. Use the following formula: Percentage Difference Original 1 x 100% (3) 3.4. Pule decides to run a special on the Family standard chalet. He will charge: R4 000 per night but will decrease the amount by R100 per person occupying the chalet. 3.4.1. Use the information above to complete the table below: Number of 1 2 3 4 5 8 9 10 people(c) 4 000 3 900 Cost per night (R) (n) (3) 3.4.2. Write an equation that shows the relationship between the cost per night C and the number of people staying in the chalet n. (3) 3.4.3. The graph below shows the cost of renting the family standard chalet at the usual rat On the same set of axes, draw the graph that represents renting the chalet at the spe rate. (Remember to include all missing graph elements). (4)
An equation is a mathematical expression that contains an equals symbol. Equations often contain algebra. Algebra is used in math when you do not know the exact number in a calculation.
Given that:
Pules Rs 4000 per night but will decrease the amount by R100 per person occupying the chalet.
Number of People Cost per night
1 4000
2 3900
3 3800
4 3700
5 3600
6 3500
7 3400
8 3300
9 3200
10 3100
let C be cost per night and n be the number of people of staying in chalet.
equation: C= 4000-100(n-1)
for n=1: C= 4000- 0=4000
n=2, C= 4000-100(1)= 3900
The graph is attached below:
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The regular price of a tennis racquet is $79.99 and the sale price is $64.99. Find the percent of discount to the nearest whole percent.
Step-by-step explanation:
$79.99 - $64.99 = $15
(79.99 - 64.99)/|79.99| =15
15/79.99 =
15 ÷ 79.99 =
15 ÷ 79.99 × 100/100 =
(15 × 100 ÷ 79.99)/100 =
(1,500 ÷ 79.99)/100
≈18.752344043005/100 =
18.752344043005% ≈18.75%;
please help... Identify the shape of a cross section of the cone below.
Answer:
The vertical cross-section of a cone is a triangle, and the horizontal cross-section is a circle.
Step-by-step explanation:
a water tap fills a tank within 4 hours, at the bottom of the tank
there is a hole for empty. the tank takes one hour to be empty. If the tap and the hole
are turning on together, the tank is fully filled. how long will the tank take to be completely
empty?
(70 min, 80 min, 90 min, 100 min)
Let V be the volume of the tank. The tap fills the tank at a rate of V/(4 hours), or V/4 per hour. The hole empties the tank at a rate of V per hour. If both the tap and hole work together, the net rate of water flow is V/4 - V or -3V/4 per hour.
Starting with a full tank, the volume v of water at time t is given by the function
v(t) = V + (-3V/4) t
Solve v(t) = 0 to find the time it takes to empty:
V - 3V/4 t = 0
V = 3V/4 t
t = V / (3V/4) = 4/3
So it takes 4/3 hours = 80 minutes to empty a full tank.
Are the equations 6x-6=3x and x-1=3x equivalent?
Answer:
No, they aren't the same (equivalent).
Step-by-step explanation:
First, solve for both equations:
Equation #1: 6x-6=3x
Simplifying
6x + -6 = 3x
Reorder the terms:
-6 + 6x = 3x
Solving
-6 + 6x = 3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x' to each side of the equation.
-6 + 6x + -3x = 3x + -3x
Combine like terms: 6x + -3x = 3x
-6 + 3x = 3x + -3x
Combine like terms: 3x + -3x = 0
-6 + 3x = 0
Add '6' to each side of the equation.
-6 + 6 + 3x = 0 + 6
Combine like terms: -6 + 6 = 0
0 + 3x = 0 + 6
3x = 0 + 6
Combine like terms: 0 + 6 = 6
3x = 6
Divide each side by '3'.
x = 2
Simplifying
x = 2Equation #2: x-1=3x
Simplifying
x + -1 = 3x
Reorder the terms:
-1 + x = 3x
Solving
-1 + x = 3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x' to each side of the equation.
-1 + x + -3x = 3x + -3x
Combine like terms: x + -3x = -2x
-1 + -2x = 3x + -3x
Combine like terms: 3x + -3x = 0
-1 + -2x = 0
Add '1' to each side of the equation.
-1 + 1 + -2x = 0 + 1
Combine like terms: -1 + 1 = 0
0 + -2x = 0 + 1
-2x = 0 + 1
Combine like terms: 0 + 1 = 1
-2x = 1
Divide each side by '-2'.
x = -0.5
Simplifying
x = -0.5answer please image is below 35 points btw
what is an equation for the circle with center 92,40 and radius 7
Answer:
17 i think im like 30 pecent sure
Patty had four times as many quarters as nickels. She had $12.60 in all. How many nickels and
she have?
Answer:
Hi,
Step-by-step explanation:
Let say n the number of nickels
4*n the number of quaters.
Let's calculate in cents:
n*5+4*n*25=1260
5n+100n=1260
105*n=1260
n=12 (number of nickels)
4n=48 (number of quaters)
Proof: 12*5+48*25=1260
Answer is equation B
3.991 nearest one hundred answer
[tex]\huge\purple{hi!}[/tex]
3.991 nearest one hundred is 3.99
The answer wood be 3.99
Since 1 is closer to 0 you round down and it is 3.99
Which polynomial is equal to the sum of polynomials 1 and 2?
Polynomials 1 and 2 are represented below with tiles.
Polynomial 1
X²X²
X²
Polynomial 2
A. 2x²+2x+1
OB. 5x² + 4x+6
OC. 7x² +6x+7
OD. 7x² +6x+5
SUBMIT
Polynomial are mathematical expressions involving variables raised with non-negative integers and coefficients. The correct option is C.
What is a polynomial?Polynomial are mathematical expressions involving variables raised with non-negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non-negative exponentiation of variables involved.
Example:
x² + 3x + 5
As per the given tile diagram, the first polynomial is,
First polynomial = 5x² + 4x + 6
The second polynomial equal is,
Second polynomial = 2x² + 2x + 1
Now, the sum of the two polynomial can be written as,
Sum = 5x² + 4x + 6 + 2x² + 2x + 1
= 7x² + 6x + 7
Hence, the correct option is C.
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The points E(- 4, 6), F(- 6, - 2), G(2, - 4) , and H(4, 4) form quadrilateral EFGH. Plot the points then click the "Graph Quadrilateral " button.
The slope of EF, FG, GH, and HE is 4, -1/4, 4, and -1/4 respectively. And the length of sides EF, FG, GH, and HE will be √68, √68, √68, and √68 units respectively.
What is coordinate geometry?Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.
The points E(-4, 6), F(-6, -2), G(2, -4) , and H(4, 4) form quadrilateral EFGH.
Then the slopes are calculated below.
Slope of EF = (6 + 2)/(-4 + 6)
Slope of EF = 8/2
Slope of EF = 4
Slope of FG = (-4 + 2)/(2 + 6)
Slope of FG = -2/8
Slope of FG = -1/4
Slope of GH = (4 + 4)/(4 - 2)
Slope of GH = 8/2
Slope of GH = 4
Slope of HE = (6 - 4)/(-4 - 4)
Slope of HE = -2/8
Slope of HE = -1/4
Then the distance between the point will be
EF² = (-6 + 4)² + (-2 - 6)²
EF² = (-2)² + (-8)²
EF² = 4 + 64
EF = √68
FG² = (2 + 6)² + (-4 + 2)²
FG² = (8)² + (-2)²
FG² = 64 + 4
FG = √68
GH² = (4 - 2)² + (4 + 4)²
GH² = (2)² + (8)²
GH² = 4 + 64
GH = √68
FG² = (4 + 4)² + (4 - 6)²
FG² = (8)² + (-2)²
FG² = 64 + 4
FG = √68
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need rn. worth 30.
A librarian wants to have an employee reading contest. She asks her employees to volunteer to read as many books as possible in one week.
Which sentences explain how randomization is not applied in this situation?
Considering the situation described, the confidence interval is given by:
(0.35, 0.51).
What is a confidence interval?It is given by the estimate plus/minus the margin of error.
For this problem, we have that:
The estimate is of 0.43.The margin of error is half the range of the observations, hence M = (0.48 - 0.32)/2 = 0.08.Then, the bounds of the interval are given by:
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HELP ME PLEASE!!!
.................................................
Answer:
Step-by-step explanation:
The figure below shows a line graph and two shaded triangles that are similar:
Which statement about the slope of the line is true? (1 point)
It is fraction negative 1 over 3 throughout the line.
It is −3 throughout the line.
The slope from point O to point A is one-third times the slope of the line from point A to point B.
The slope from point O to point A is three times the slope of the line from point A to point B.
Answer: A
Step-by-step explanation: took the test, got it right.
On a test that has a normal distribution, a score of 30 falls three standard deviations below the mean, and a score of 60 falls three standard deviations above the mean. Determine the mean of this test.
Answer:
45Step-by-step explanation:
Let μ - mean, σ - standard deviation.
Given:A score of 30 falls three standard deviations below the mean:
μ - 3σ = 30A score of 60 falls three standard deviations above the mean:
μ + 3σ = 60Add up the two expressions and find the value of μ:
μ - 3σ + μ + 3σ = 30 + 602μ = 90μ = 45The mean is 45
the amount (a) that principal (p) will be worth after t years at interest rate (r) compounded annually is
a = p(1 + r)^t
suppose $6,000 is invested at 5.5% and yields a total of $7,255. how many was it invested
The number of years the money was invested with annual compounding is 3.45 years.
How many years was it invested?When an amount earn interest compounded annually, it means that both the amount invested and the interest earned increases in value once a year.
Number of years = (In FV / PV) / r
Where:
FV = future valuePV = present valuer = interest rate(In 7255 / 6000) 0.055 = 3.45 years
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Anyone know the answer?
James is using cement to make a new sidewalk and new steps.
He will make a new rectangular sidewalk that is 8 feet long, 4 feet wide, and 0.25 foot thick.
What is the volume, in cubic feet, of the cement used to make the sidewalk? Show or explain all of the steps you used to determine your answer.
Enter answer, including explanation, here
The volume, in cubic feet, of the cement used to make the sidewalk is 8 cu.ft.
What is a Cuboid ?A cuboid is a three dimensional figure with six rectangular faces .
The volume of the cuboid is given by
V = length * breadth * height
It is given in the question that
a new rectangular sidewalk that is 8 feet long, 4 feet wide, and 0.25 foot thick , this will be in the shape of a cuboid
The volume of cement required = 8 * 4 * 0.25
= 8 cu.ft
The volume, in cubic feet, of the cement used to make the sidewalk is 8 cu.ft.
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