The width and the length of the rectangular pen will be equal to w=11 feet and the length=20 feet.
What is the perimeter?The perimeter is defined as the sum of all the sides of the figure. In a rectangle, it is the sum of all the sides of the rectangle.
For this problem, we need to find what perimeter is equal to 62 feet. To find the perimeter of a rectangle we do:
P=2w+2l
where p = perimeter, w = width, and l = length
This problem says that the length is 9 feet longer than the width, so the length would be:
w+9
Now we know what the perimeter and length is, so we can put those into the equation above. This is what it will look like:
62=2w+2(w+9)
and that will solve like so:
62=2w+2w+18
62=4w+18
44=4w
w=11
Now that we know the width we can plug it into our first equation to find the length:
62=(2(11)+2l
62=22+2l
40=2l
l=20
Your width is 11 feet and your length is 20 feet.
hence the width and the length of the rectangular pen will be equal to w=11 feet and the length=20 feet.
To know more about Perimeter follow
https://brainly.com/question/19819849
#SPJ1
Which of the following sets of numbers could represent the three sides of a triangle? \{6,14,17\}{6,14,17} \{10,23,34\}{10,23,34} \{10,14,26\}{10,14,26} \{7,20,28\}{7,20,28}
The sets of numbers which could represent the three sides of a triangle is {6,14,17}. Option A is the correct option.
What is triangle inequality theorem?Triangle inequality theorem of a triangle says that the sum of the two sides of a triangle is always greater than the third side.
Suppose a, b and c are the three sides of a triangle. Thus, according to this theorem,
[tex](a+b) > c\\(b+c) > a\\(c+a) > b[/tex]
The sides of first option are, 6,14,and 17.
[tex]6+14 > 17\\20 > 17[/tex]
This set satisfy the triangle inequality theorem. All the other options do not follow, to satisfy this theorem.
Thus, the sets of numbers which could represent the three sides of a triangle is {6,14,17}. Option A is the correct option.
Learn more about the triangle inequality theorem here;
https://brainly.com/question/309896
#SPJ1
Quadrilateral ABCD is inscribed in a circle. Find the measure of each of the angles of the quadrilateral. Sho
Answer:
Top Left (<A) = 86 degrees // Top Right (<B) = 112 degrees // Bottom Left (<C) = 68 degrees // Bottom Right (<D) = 94 degrees
Step-by-step explanation:
So with inscribed quadrilaterals opposing corners are supplementery. This means they will add to 180 degrees. So first what we can do is set (x + 2) and (x - 6) equal to 180 ----> 2x - 4 = 180 ----> 2x = 184 ----> x = 92
So if x = 92 then <A = 86 degrees //// <B = 112 degrees //// <C must equal 68 degrees because <B and <C are supplementery //// <D = 94 degrees
help pleasee <3 >:((
[tex]v = \frac{lwh}{3} [/tex]
[tex]v = \frac{10 \times 6 \times 6}{3} [/tex]
[tex]v = 120 \: {ft}^{3} [/tex]
Volume of rectangular prism:[tex]v = lwh[/tex]
[tex]v = 10 \times 6 \times 4[/tex]
[tex]v = 240 \: {ft}^{3} [/tex]
Total volume:[tex]v = 120 + 240[/tex]
[tex]v = 360 \: {ft}^{3} [/tex]
volume of rectangular pyramid is 120 ft^3.
volume of rectangular prism is 240 ft^3.
total volume is 360 ft^3.
hope this helps.
find the area of sector =?
Step-by-step explanation:
270°/360° ×π×13²cm
=398.20cm²
the area of the sector with a radius of 13 units and a central angle of 270 degrees is approximately 398.25 square units.
To find the area of a sector, we use the formula:
Area of sector = (θ/360) * π * r²
Where:
θ is the central angle of the sector in degrees,
r is the radius of the sector.
In this case, the radius (r) is 13 units, and the central angle (θ) is 270 degrees.
Area of sector = (270/360) * π * 13²
Area of sector = (3/4) * π * 169
Area of sector = (3/4) * 169π
Area of sector ≈ 398.25 square units
So, the area of the sector with a radius of 13 units and a central angle of 270 degrees is approximately 398.25 square units.
Learn more about area of the sector here
https://brainly.com/question/29055300
#SPJ2
If a teacher gives a quiz that is normally distributed and has a mean score 50 and a standard deviation of 5:
a) what z score is associated with a 60th percentile
b) what score is associated with the 60th percentile
Using the normal distribution, it is found that:
a) The z-score associated with a 60th percentile score is of Z = 0.253.
b) The score associated with the 60th percentile is of 51.265.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.The mean and the standard deviation are given, respectively, by:
[tex]\mu = 50, \sigma = 5[/tex]
The 60th percentile is X when Z has a p-value of 0.6, so X when Z = 0.253, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.253 = \frac{X - 50}{5}[/tex]
X - 50 = 5(0.253)
X = 51.265.
More can be learned about the normal distribution at https://brainly.com/question/24663213
#SPJ1
Darren’s teacher stated that 20% of his grade would come from his homework. What fractional part of his grade will NOT come from homework?
Answer:
80% = 80/100 = 8/10
I hope this helps! If it does, please mark me Brainliest! Thanks in advance!
A rectangular hotel room is 11 feet wide and 25 feet long. What is its perimeter?
Answer:
The answer is 72
Step-by-step explanation:
The formula for perimeter is (L+W)x2
So in your case (11+25)x2
Or add all 4 sides of the rectangle up and you have your answer <3
HELP ME PLEASE!!!!!!
Answer:
x = 5
Step-by-step explanation:
216 ^x = 6^(x+10) notice that 216 = 6^3
(6^3 )^x = 6^(x+10)
6^3x = 6^(x+10) now just equate the exponents
3x = x + 10
2x = 10 x = 5
What is the domain of the function?
Domain: x
Robert wants to have 3 cherry trees planted on his property. He asked a landscaping company to give him a bid. The contractor wanted $750 to buy and plant the trees. Robert’s friend Tom said he would help him plant the trees on the weekend. The trees cost $115 each. How much will Robert save by having his friend help him?
Answer:
If I am correct he will save $405 by having his friend helping him.
Step-by-step explanation:
3x115=345
750-345=$405
totaled saved: 405
What are the x-coordinates for the maximum points in the function f(x) = 4 cos(2x − π) from x = 0 to x = 2π? (1 point) a x = 3 pi over 2 , x = π b x =
x-coordinates for the maximum points in any function f(x) by f'(x) =0 would be x = π/2 and x= 3π/2.
How to obtain the maximum value of a function?To find the maximum of a continuous and twice differentiable function f(x), we can firstly differentiate it with respect to x and equating it to 0 will give us critical points.
we want to find x-coordinates for the maximum points in any function f(x) by f'(x) =0
Given f(x)= 4cos(2x -π)
[tex]f'(x) = 0\\- 4sin(2x -\pi ) =0\\\\sin (2x -\pi ) =0 \\2x -\pi = k\pi ... k in Z[/tex]
In general [tex]x=(k+1)\pi /2[/tex]
from x = 0 to x = 2π :
when k =0 then x = π/2
when k =1 then x= π
when k =2 then x= 3π/2
when k =3 then x=2π
Thus, X-coordinates of maximum points are x = π/2 and x= 3π/2
Learn more about maximum of a function here:
https://brainly.com/question/13333267
#SPJ4
Math question explain throughly
The value of the discriminant is 24. Then the factor of the polynomial is not a whole number.
What is a factorization?It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.
The expression is given below.
x² + 8x + 10
If the value of the discriminant is a perfect square then the factor of the polynomial will be in whole number.
D = b² - 4ac
D = 8² - 4 x 1 x 10
D = 64 - 40
D = 24
The value of the discriminant is not a perfect square.
The solution of the polynomial can be determined by the formula method.
More about the factorization link is given below.
https://brainly.com/question/6810544
#SPJ1
Here is a set of data
Answer:
a) 1.8
b) 11.8
c) 23.6
a)(2.4 + 1.6 + 3.2 + 0.3 + 1.5) / 5 = 1.8
b)(12.4 + 11.6 + 13.2 + 10.3 + 11.5) = 11.8
c)(24.8 + 23.2 + 26.4 + 20.6 + 23) / 5 = 23.6
or,
11.8 × 2 = 23.6
Answer+Step-by-step explanation:
a)
original mean = (2.4+1.6+3.2+0.3+1.5)÷5
= 9÷5
= 1.8
b)
New mean = ((2.4+10)+(1.6+10)+(3.2+10)+(0.3+10)+(1.5+10))÷5
= (12.4) + (11.6) + (13.2) + (10.3) + (11.5)) ÷ 5
= 59÷5
= 11.8
Note:
11.8-10 = 1.8
then
New mean = original mean + 10
c)
Newest mean = ((2×12.4)+(2×11.6)+(2×13.2)+(2×10.3)+(2×11.5))÷5
= ((24.8)+(23.2)+(26.4)+(20.6)+(23))÷5
= 118÷5
=23.6
Note :
Newest mean = 2×(New mean)
= 2×(original mean + 10)
simplify (4x^2-7x+14)(3x+5x^2-6)
Please show work
Answer:
-23x^3+20x^4+25x^2+84x-84
Step-by-step explanation:
1 Expand by distributing sum groups.
4x^2(3x+5x^2-6)-7x(3x+5x^2-6)+14(3x+5x^2-6)
2 Expand by distributing terms.
12x^3+20x^4-24x^2-7x(3x+5x^2-6)+14(3x+5x^2-6)
3 Expand by distributing terms.
12x^3+20x^4-24x^2-(21x^2+35x^3-42x)+14(3x+5x^2-6)
4 Expand by distributing terms.
12x^3+20x^4-24x^2-(21x^2+35x^3-42x)+42x+70x^2-84
5 Remove parentheses.
12x^3+20x^4-24x^2-21x^2-35x^3+42x+42x+70x^2-84
6 Collect like terms.
(12x^3-35x^3)+20x^4+(-24x^2-21x^2+70x^2)+(42x+42x)-84
7 Simplify.
-23x^3+20x^4+25x^2+84x-84
PLS HELP NEED ANSWER ASAP
Answer:
a. 38
b. 12
Step-by-step explanation:
i used calculator. net
The height of the kite is 38.042(approx.) and the shadow of kite from Dmitri is 12.36 m (approx.)
What is angle of elevation?The term angle of elevation denotes the angle from the horizontal upward to an object. An observer’s line of sight would be above the horizontal.
According to the question
Kite string = hypotenuse = 40m
angle of elevation = 72 °
a) Height of kite = perpendicular
sin( 72 °) = [tex]\frac{Perpendicular}{hypotenuse}[/tex]
0.951 = [tex]\frac{Perpendicular}{40}[/tex]
38.042 ≈ Perpendicular or Height of kite ≈ 38.042
b) Sun is directly above the kite , kite's shadow from Dmitri is = base
Tan (72°) = [tex]\frac{perpendicular }{base}[/tex]
3.077 = [tex]\frac{38.042 }{base}[/tex]
Base ≈ 12.36 m
Hence, height of the kite is 38.042(approx.) and the shadow of kite from Dmitri is 12.36 m
To know more about angle of elevation here :
https://brainly.com/question/21137209
# SPJ2
The ratio of the circumference of two circles in 3:2. The radius of the smaller circle is 8 in. What is the radius of the larger circle?
Enter the volume of the right rectangular prism in cubic centimeters.
Answer:
37.95
Step-by-step explanation:
3.3x2.5x4.6=37.95
What is the vertex of the graph shown below? Write your answer in the form
(x,y).
Answer:(-3,-1.5)
Step-by-step explanation: the vertex is the point then the line starts to bend. that would be (-3,-1.5).
PLease help its a math question see image attached please
Answer:
Quadratic
Step-by-step explanation:
The function shown here is :
y = 2x²As the degree of the polynomial is 2, this function is considered to be quadratic.
A basketball is shot into the air. Its height is represented by the polynomial equation
h(t) = -162 + 35t + 5, where h is the height of the basketball at t seconds. What is
the height of the basketball at 1 second?
A) 56 feet
B) 24 feet
C) 14 feet
D) 8 feet
Answer:
B) 24 feet
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
Functions
Function NotationStep-by-step explanation:
Step 1: Define
Identify given.
[tex]\displaystyle h(t) = -16t^2 + 35t + 5[/tex]
Step 2: Find Height
Since we are trying to find the height of the basketball at 1 second, it implies that t = 1. Therefore, we can simply substitute t = 1 into our function:
[tex]\displaystyle\begin{aligned}h(1) & = -16(1)^2 + 35(1) + 5 \\& = -16(1) + 35(1) + 5 \\& = -16 + 35 + 5 \\& = \boxed{24} \\\end{aligned}[/tex]
∴ the height of the basketball at 1 second is equal to 24 feet.
---
Learn more about functions: https://brainly.com/question/27698547
Learn more about Algebra I: https://brainly.com/question/27710380
---
Topic: Algebra I
if A - 13= (-8), then what does A equal?
(will mark brainliest)
Answer:
A = 5
Step-by-step explanation:
Add 13 to each side of the expression :
A - 13 + 13 = -8 + 13A = 13 - 8A = 5Step-by-step explanation:
A 13+13 equal to -8+13
A 13-8
A 5
please tell me how u got the answer no bots pleaseeeee
Answer:
x = - 21
Step-by-step explanation:
[tex]\frac{-12+x}{11}[/tex] = - 3 ( multiply both sides by 11 to clear the fraction )
- 12 + x = 11 × - 3 = - 33 ( add 12 to both sides )
x = - 21
12.3 - 2.2 x 8.4 ÷ 2 =
Please help quick!!
The spinner game at the school carnival has a long line, but Edgar thinks that the fun prizes are worth the wait. The spinner is divided into 4 unequal sections. As he moves up in line, Edgar notices the spinner results of the people ahead of him: 3 glow sticks, 5 bouncy balls, 8 whistles, and 2 foam gliders
The probability of the spinner landing on whistle during Edgar's turn is 4/9
How to determine the probability?The experimental results are given as:
3 glow sticks, 5 bouncy balls, 8 whistles, and 2 foam gliders
The total number of sample is:
Sample = 3 + 5 + 8 + 2
Sample = 18
The probability that Edgar's spin land on whistle is:
P(Whistle) = Whistle/Sample
This gives
P(Whistle) = 8/18
Evaluate
P(Whistle) = 4/9
Hence, the probability of the spinner landing on whistle during Edgar's turn is 4/9
Read more about probability at:
https://brainly.com/question/251701
#SPJ1
A restaurant chef wants to install a new floor in his kitchen. The kitchen measures 8 yards wide and 12 yards long, and the flooring costs $7.01 per square yard. How much will the chef's new floor cost?
Which picture shows 5/6?
Answer:
Bottom right option
Step-by-step explanation:
5 boxes out of 6 are shaded.
Answer:
d) Bottom right picture
Step-by-step explanation:
There are 6 boxes in that rectangle and 5 boxes are shaded. Hence, this diagram shows the required fraction of 5/6.
Answer answer please please
Answer:
B. <
Step-by-step explanation:
2.7 * 10^3 is < 27 * 10^3
since
27 * 10^3 = 27000
2.7 * 10^3 = 2700
2700 < 27000
now since multiplying by 10 moves the decimal to the right, just looking and mentally comparing them. since they are both multiplied by 10^3 you're left with 2.7 and 27
27 is greater than 2.7
so
your answer is B or <
hope this helps :)
Answer: the answer is choice b
Step-by-step explanation:
Points A and B have the same x-coordinates but opposite y-coordinates.
5
A
4
3
2
NS
5 4 3 2 1
1 2 3 4 5 X
-2
-3
B
-4
-5
The awnser is 3 units
Start from the y-axis and count to your point.
When I was in tge 5th grade frog leaps/ bunny hops helped me.
what is the value of the expression 4(80+b) - 12, where b = 20?
Answer:
388
Step-by-step explanation:
Substituting b = 20 in the expression :
4(80 + 20) - 124(100) - 12400 - 12388can someone figure this out for me?
Answer:
it spells ucla, or U C LA
get it you see Los Angeles
or the school name in Los Angeles
Step-by-step explanation:
you shade in 12.5in^2
77cm
1.35m^2
48m
17cm^2
11400 in ^2
20.8cm
25m
20in
275 cm ^2
120 ft
43.4 cm^2
6.6m
105m^2
544 in
30m^2
28.8cm
600ft^2