Answer:
$38.25
Step-by-step explanation:
Perimeter of a rectangle = 2W + 2L
(where W is the width and L is the length)
Given:
width = 2.5 ydlength = 6 yd⇒ perimeter = (2 x 2.5) + (2 x 6)
= 5 + 12
= 17 yd
Given:
cost of fence = $2.25 per foot⇒ total cost = 17 x 2.25
= $38.25
Perimeter:-
2(L+B)2(6+2.5)2(8.5)17ydToatl cost::
17(2.25)34+4.2538.25$Convert the angle 3 radians to degrees, rounding to the nearest 10th.
Answer: 172.0 degrees
Step-by-step explanation:
In 180 degrees, there are \(\pi\) radians. That means each radian is equal to:
\(\frac{180}{\pi }\)
= 57.3248408
Then we simply multiply that by 3 to get:
3 * 57.3248408
= 171.974522
Rounded to the nearest tenth is 172.0
Answer:
172
Step-by-step explanation
180 degrees is equal to one pi.
That means each radian is equal to:= 57.3248408
Then multiply that number by 3
Written out is: 3 x 57.3248408 = 171.97452
When rounded to the nearest tenth is 172.0
100 points?!!!??? Help fast
5+5=
Answer:
10
Step-by-step explanation
HURRY ASAP PLEASE!!! WORTH 20 POINTS! YOU WILL ALSO GET BRAINLYEST!
Kristy wants to know what the probability is that a card drawn randomly from a deck will be a club. Her sample space includes all 52 cards in a standard deck. Which of these outcomes compose the event?
Answer:
someone deleted ur ans from y question can you please write it again
thank you.
Step-by-step explanation:
Answer:
1/4
Step-by-step explanation:
The graph compares the weights in pounds of 100 dogs and cats that are brought in
to a veterinarian's office. Using the medians, how much more does a typical dog weigh than a typical cat?
Answer:20
Step-by-step explanation:this is wrong
Answer:
40
Step-by-step explanation:
subtract median of dogs and median of cats
10. Prime numbers from 1 to 100 are running a restaurant - PRIME SPOT, near a tourist point. On a winter holiday, 1 and the composite numbers up to 100 enter the restaurant for dinner after their picnic at the same point. The dining hall has tables with seating capacity 15 for each. If they occupy tables without leaving any chair free, how many tables are required? If each prime number attender has to serve equal number of customers, how many customers should each one get to serve?
6 tables are required. Each prime number attender should serve 3 customers each.
The prime numbers between 1 and 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.
All the numbers other than prime numbers are composite numbers.
The composite numbers from 1 to 100 are: 1, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100.
Now, as there are 25 primes and 75 composites in the group that visited the restaurant, we can calculate the number of tables required by dividing the number of people by the seating capacity of each table.
Each table has a seating capacity of 15, so the number of tables required will be: Number of tables = (Number of customers)/(Seating capacity of each table)Number of customers = 25 (the number of primes) + 75 (the number of composites) = 100Number of tables = 100/15 = 6 tables
Therefore, 6 tables are required.
Now, as each prime number attender has to serve an equal number of customers, we need to calculate how many customers each one should serve.
Each prime attender has to serve 75/25 = 3 customers each, as there are 75 composites and 25 primes.
Thus, each prime number attender should serve 3 customers each.
For more questions on prime number
https://brainly.com/question/145452
#SPJ8
how do you find the area of this problem
Answer: 240
Step-by-step explanation:
You would multiply each of the sides to get the final answer of 240 (:
Solve equation
176 =-4(4 + 6m)
to solve for m
distribute into parentheses
176 = -16 - 24m
get m on one side
176 + 16 = -24m
192 = -24m
divide by -24
-8 = m
m = -8
MATH CHALLENGE 30 POINTS
Hey guys, here’s a math challenge for u. Fill in the missing slots. All the rows, columns, and diagonals have to have the same sum. First person to get the correct answer will get brainliest and a thanks. Go!
Answer:
21 24 9
6 18 30
27 12 15
Step-by-step explanation:
what is the slope-intercerpt form of the equation -8x+2y=4
Answer:
y= 4x +2
Step-by-step explanation:
Slope-intercept form is y= mx +c.
Thus, rewrite the equation to make y the subject of formula.
-8x +2y= 4
Let's simplify the equation first by dividing both sides by 2.
-4x +y= 2
+4x on both sides:
y= 4x +2
Calc II Question
The base of s is an elliptical region with boundary curve 9x^2 + 4y^2 = 36
Cross sections perpendicular to the x axis are isoscelees right triangle with hypotension in the base.
Correct answer is 24 but I don't know how they go that
Answer:
See below for explanation
Step-by-step explanation:
The area of an isosceles triangle is \(A=\frac{1}{2}bh\), so let's write the base as an equation of y:
\(\displaystyle 9x^2+4y^2=36\\\\4y^2=36-9x^2\\\\y^2=9-\frac{9}{4}x^2\\\\y=\pm\sqrt{9-\frac{9}{4}x^2\)
As you can see, our ellipse consists of two parts, so the hypotenuse of each cross-section will be \(\displaystyle 2\sqrt{9-\frac{9}{4}x^2\), and each height will be \(\displaystyle \sqrt{9-\frac{9}{4}x^2}\).
Hence, the area function for our cross-sections are:
\(\displaystyle A(x)=\frac{1}{2}bh=\frac{1}{2}\cdot2\sqrt{9-\frac{9}{4}x^2}\cdot\sqrt{9-\frac{9}{4}x^2}=9-\frac{9}{4}x^2\)
Since we'll be integrating with respect to x because the cross-sections are perpendicular to the x-axis, then our bounds will be from -2 to 2 to find the volume:
\(\displaystyle V=\int^2_{-2}\biggr(9-\frac{9}{4}x^2\biggr)\,dx\\\\V=9x-\frac{3}{4}x^3\biggr|^2_{-2}\\\\V=\biggr(9(2)-\frac{3}{4}(2)^3\biggr)-\biggr(9(-2)-\frac{3}{4}(-2)^3\biggr)\\\\V=\biggr(18-\frac{3}{4}(8)\biggr)-\biggr(-18-\frac{3}{4}(-8)\biggr)\\\\V=(18-6)-(-18+6)\\\\V=12-(-12)\\\\V=12+12\\\\V=24\)
Therefore, this explanation confirms that the correct volume is 24!
Can someone help me with this problem?
7. Radius of circle P = 2 Radius of circle Q = 1
Coordinates of the point of tangency (4,2)
The equation of the tangency line is x = 4
8. AB is not a tangent. BC² ≠ AB² + AC²
9. The three radii of the circle are; CB, CF and CD
A diameter of the circle is BD
A tangent of the circle is GE
A chord of the circle is BD
A secant of the circle is AD
A point of tangency is F
How do we find the radius of a circle?
7. To find the radius, identify the diameter of the circle. For the diagram, it can be said that the diameter of the circle P is 4.
The radius then is 4/2 = 2.
The radius of circle q is 2/2 = 1
You could also use the formula
Distance = sqrt((x2 - x1)² + (y2 - y1)²)
8. √4² + √12² = √160
√13 = 169
Therefore AB is not tangent. It is less than BC
9. The line that cuts the circle into two halves is the diameter. The lines than further cuts the diameter into equal parts are the radii's
Find more exercises on finding diameter and radius;
https://brainly.com/question/23891151
#SPJ1
Please help explanation if possible
Answer:
x-intercept (3,0)
y-intercept (0,7)
Step-by-step explanation:
Plug in zero for x and y separately and solve for the variable.
x-intercept:
7x + 3(0) = 21
7x = 21
divide both sides by 7 and you get x = 3 so your x-intercept is (3,0)
y-intercept follows the same process:
7(0) + 3y = 21
3y = 21
y = 7 so your y-intercept is (0,7)
(6m-7)x4. Please help meeee
Answer:
=6mx^4−7x^4
Step-by-step explanation:
(6m−7)(x^4)
=(6m+−7)(x^4)
=(6m)(x^4)+(−7)(x^4)
\(\huge\text{Hey there!}\)
\(\mathsf{(6m - 7)\times4}\)
\(\mathsf{= (6m - 7)(4)}\)
\(\mathsf{= (6m - 7) 4}\)
\(\mathsf{= 4(6m - 7)}\)
\(\mathsf{= 4(6m) - 4(-7)}\)
\(\mathsf{= 6m(4) + (-7)(4)}\)
\(\mathsf{= 6m(4) - 7(4)}\)
\(\mathsf{= 6m - 28}\)
\(\huge\textbf{Therefore, your answer should be:}\)
\(\huge\boxed{\frak{24m - 28}}\huge\checkmark\)
\(\huge\text{Good luck on your assignment \& enjoy your day!}\)
~\(\frak{Amphitrite1040:)}\)
Given 3 + 7 + 11 + 15 + … find S20
Answer:
Hi
Please mark brainliest ❣️
What is the value of f(x) when x = 4 in the piecewise function f(x) = 2x² when x>4
4x when x < 4
Answer:
16
Step-by-step explanation:
f(x) = 2x² when x>4
We cannot use this expression of f to calculate f(4)
because ,this expression define f for the value of x
that are greater (not equal) than 4.
………………………………………………………
f(x) = 4x when x ≤ 4 , here x is can be equal to 4
(notice the sign ≤ )
Therefore
f(4) = 4 × (4) = 16
Work out the volume of the prism height of 12 4 and five
The calculated volume of the prism is 702 cubic cm
Finding the volume of the prismFrom the question, we have the following parameters that can be used in our computation
The trapezoidal prism (see attachment)
The formula of the volume of a trapezoidal prism is
Volume = Base area * Height
Where we have
Base area = 1/2 * (8 + 10) * 6
Evaluate the sum of 8 and 10
Base area = 1/2 * 18 * 6
Evaluate the products of 1/2, 18 and 6
Base area = 54
Also, we have
Height = 13
So, the volume is calculated as
volume = 13 * 54
Evaluate
volume = 702
Hence, the volume of the prism is 702 cubic cm
Read more about volume at
brainly.com/question/463363
#SPJ1
URGENT!!! Elementary school students were given a geometry assignment. They were to measure the area of several rectangles and to measure the diagonal of the rectangle as shown in the table.
The equation of the least-squares regression line is
ŷ = 3.6 + 0.113x, where ŷ is the diagonal and x is the area of the rectangle. Which shows the residual plot?
The plot of the residuals to the area indicates that the graph that corresponds to the residuals is the second option.
Please find attached the graph of the residual plot for the data created with MS Excel
What is a residual plot?A residual plot is a tool used for assessment of statistical models, to determine how fit the model is to the data. A residual plot is a plot of the residuals to the input or x-values of the data.
The trend line for the data in the question obtained using MS Excel indicates that we get; y = 0.1128·x + 3.6158
The residuals, which is the difference between the actual values and the calculated value obtained using MS Excel are;
Area (in²) \({}\) Residuals
x-value
5 \({}\) -1.0178
10 \({}\) -0.2718
24 \({}\) 0.605
46 \({}\) 0.7874
53 \({}\) 0.7018
78 \({}\) 0.0758
84 \({}\) -0.129
100 \({}\) -0.7538
The above values for the areas and the residuals indicates that the residual plot is n shaped, with the first two values being below the x-axis, which corresponds to the second option
Learn more on residual values of a set of data here: https://brainly.com/question/31687998
#SPJ1
Area of composite shapes ?
Answer: 58
Step-by-step explanation: you add them all together
Its 108 the other answer is the perimeter not the area.
If Peter pays $84 to buy a watch after discount of 20% find the original price of the watch
Answer: 105 dollars
Step-by-step explanation:
Let's say that the original price x dollars, we can use the equation to find the original price.
80%x = 84
x = 105
Answer:
$105
Step-by-step explanation:
The multiplier is 0.8
To get the price after the discount,the original price was multiplied by 0.8(100 - 20 = 80% = 0.8
Therefore to obtain the original price from the price after the discount, we use reverse percentage:
$84 ÷ 0.8 = $105
−8 ÷ (−4) =?
please help me
Answer:
2
Step-by-step explanation:
the reason it is 2 is because two negatives dont stay a negative two negatives = a positive now one negative = a negative
may someone please help me? I’m having trouble finding G and H. It would be okay if you only found G for me. I will give the first answer a brainliest if it is reasonable or correct! Thanks you
g would be 125 degrees
h would be 62 degrees
Answer:
g = 118°
Step-by-step explanation:
b = 180 - 62 = 118 because b is supplementary to the 62° angle
g = 118 because b and g are alternate interior angles
Write the expression in simplest form.
(-11/2 x + 3) -2(-11/4x-5/2)
Answer:
8
Step-by-step explanation:
(-11/2x +3) -2(-11/4x -5/2)
(-11/2x +3) +22/4x +10/2
-11/2x +3 +11/2x +5
8
Evaluate the expression and enter your answer below. 9 + (4 + 1)2
Answer
9 + (4 + 1)² = 34
Explanation
We are asked to solve the expression
9 + (4 + 1)²
The first step to solving this is to start from the bracket, solve the bracket first
9 + (4 + 1)²
= 9 + (5)²
= 9 + 25
= 34
Hope this Helps!!!
Help pls George is building a fence around a rectangular dog run. He is using his house as one side of the run. The area of the dog run will be 240 square feet. The length of the run is 30 feet, and the width is (30 minus x) feet. The diagram below shows his plan.
Recall the formulas for area and perimeter: A = lw and P = 2l + 2w.
The width of the dog run is 20 feet.
In the given problem, the length of the dog run is given as 30 feet.
The area of the dog run is also given as 240 square feet.
Using the formula for the area of a rectangle (A = lw), we can solve for the width (w).
Rearranging the formula, we have w = A / l.
Plugging in the values, we get w = 240 / 30 = 8 feet.
Since the width is given as (30 minus x) feet, we can set up an equation:
30 - x = 8. Solving for x, we find x = 22.
Therefore, the width of the dog run is 20 feet (30 - 22 = 8).
In this problem, the length and width of the dog run are defined by the dimensions of the fence being built around it.
The area of the dog run is given as 240 square feet.
By using the formula for the area of a rectangle, we can solve for the width. We are also given that the length is 30 feet.
Setting up an equation with the given width (30 minus x) and solving for x, we find that x is equal to 22.
This means that the width of the dog run is 8 feet. The main answer to the problem is that the width of the dog run is 20 feet (30 - 22 = 8).
for such more questions on width
https://brainly.com/question/28107004
#SPJ8
Please awnser asap I will brainlist
The members of the given set in this problem are given as follows:
X U (Y ∩ Z) = {p, q, r, 0, 6, 21, 22, 23, 26}
How to obtain the union and intersection set of two sets?The union and intersection sets of multiple sets are defined as follows:
The union set is composed by the elements that belong to at least one of the sets.The intersection set is composed by the elements that belong to at all the sets.The intersection of the sets Y and Z for this problem is given as follows:
Y ∩ Z = {0, 6, 23, 26}
(which are the elements that belong to both of the sets).
The union of the above set with the set X is given as follows:
X U (Y ∩ Z) = {p, q, r, 0, 6, 21, 22, 23, 26}
(elements that belong to at least one of the sets).
More can be learned about union and intersection at brainly.com/question/4699996
#SPJ1
what is 100÷200 need help
on dividing 100 by 200 we get answer as 0.5 or we can also write it as 1/2 in fraction.
What is division?
Multiplication is the opposite of division. If 3 groups of 4 add up to 12, then 12 divided into 3 groups of equal size results in 4 in each group.
The fundamental goal of division is to produce equal groups or to ascertain how many individuals are in each category following a fair distribution.
To divide 12 donuts into three similar groups in the aforementioned case, you would need to put four doughnuts in each group. Consequently, 12 divided by 3 will equal 4.
We need to find 100/200,
on solving this division problem we get answer as 1/2 (in fraction) or 0.5 (in decimal).
To know more about division, go to link
https://brainly.com/question/28119824
#SPJ9
If f (x) = x2 – 2x, find:
f(6) = [?]
Answer:
f(6) = 24
Step-by-step explanation:
f(x) = x^2 - 2x
Let x = 6
f(6) = 6^2 - 2(6)
= 36 - 12
= 24
Which is the y-intercept of the equations?
Equation A
Х 0
Y 1
1
4
2
9
3
16
Equation B
f(x) - -x+ 2
O A: -1, B: 2
O A: 2, B: 0
O A: 1, B: 2
O A: -1, B: -1
to coarch
Answer:
0, 1 would be y-intercept
Step-by-step explanation:
0, 1 is where the line crosses the x-axis
how many solutions does the equations 3(x+2)-10+4x-6x have?
Answer:
x=1
Step-by-step explanation:
(x+2)-10=4x-6+x
3x+6-10=5x-6
3x-5x-4=-6
-2x-4=-6
-2x=-6+4
-2x=-2
2x=2
x=2/2
x=1
Write and algebraic expression for 10 less than the product of seven and F
Answer:
f(x) = 7x-10
Step-by-step explanation:
Complete question;
Write and algebraic expression for 10 less than the product of seven and a number.
Let the number be x;
The product of seven and the number is expressed as;
= 7 * x
= 7x
If 10 is less than the product of seven and a number then the expression becomes
7x - 10
The required algebraic expression is f(x) = 7x-10