Answer: The width of the playing field = 45 ft
length of playing fiels = 86ft
Step-by-step explanation:
Step 1
Perimeter of rectangular field is given as 2 ( L+ b)
Let the width be represented as x
such that the length = 41 ft longer than the width be x+ 41
To find the length and breadth
Step 2
Perimeter = 2( L+ b)= 2l + 2b
Perimeter = 2 (x+41 ) + 2 x = 262
2x + 82 + 2x= 262
4x+ 82= 262
4x= 262 - 82
4x= 180
x= 180/4
x= 45
width= 45 ft
length = x+ 41= 45+ 41= 86ft
A window is twice as long as it is wide. The area of the window is 2x where x
is the width of the window. The window is surrounded by a frame that is 2 inches
on all sides. The area of the window and frame is 2x2 + 12x +16.
What is the area of the window frame?
Answer:
When we have a rectangle of length L and width W, the area is calculated as:
A = W*L
In this case, W = x, and the area is:
A = 2*x
Then we must have L = 2.
We know that the area of the window and the frame (together) is:
a = 2*x^2 + 12*x + 16
The area of the frame alone, will be equal to the difference between the area of both objects (a) and the area of the window alone (A)
area of the frame = a - A
= (2*x^2 + 12*x + 16) - (2*x) = (2*x^2 + 10*x + 16)
This is the area of the frame
i need help with finding slopes from graphs
Y=2+-4x
Step-by-step explanation:
Hope ot helps
There will be 6 people at Eli's cake party. She wants to bake enough cake so that each person she feeds eat at least 1/5 of the cake. What is the minimum number of cakes you should bake?
Answer:
2 cakes
Step-by-step explanation:
You need 2 cakes minimum for 6 people if she wants each person to get 1/5 of a cake.
Kevin plants a total 72 flowers in a equal row. He plants 6 rows of yellow flowers and 2 rows of red flowers. How many flowers are in each row?
Answer:
9
Step-by-step explanation:
9 is the answer bc
6+2=8
72/8=9
(lol I hope I helped)
The problem is as follows:
What is the perimeter of this shape?
14 3/5
12 4/5
10 2/5
10 2/5
8 1/2
4 1/2
First I changed all the denominators to 20, as that’s the LCM of all these fractions. Then I added like normal and came up with this answer:
58 71/20
Then I simplified and got
58 9/10
My test says that this is incorrect and that the whole number is actually 61 and the fractional part is actually something else. What did I do wrong when figuring out this problem? Thanks for the help.
What is the polar form of -3 + sq rt 3i?
Answer:
(√12,-π/6)
Step-by-step explanation:
r^2 = 9+3 = 12
tanθ = √3/-3 = -1/√3
Answer:
D
Step-by-step explanation:
Correct on edge
4. If (3 + bi) + (7 – 2i) = 10 + 6i, find the value of b.
Answer:
b = 8
Step-by-step explanation:
The real part of the givens add correctly.
bi - 2i = 6i Add 2i to both sides.
bi = 6i + 2i
bi = 8i The i's will cancel
b = 8
Everyday the Norton Family restaurant serves 5/6 of a bottle is soda to their customers for how many days will 2 1/2 bottles of soda last ?
y= 14 - 0.5x what does y=
How many numbers between 4000 and 5000 can be formed with the
digits 2, 3, 4, 5, 6, 7? How many of these numbers are divisible by 5?
Answer:
36 numbers
Step-by-step explanation:
Number of digits in a number between 4000 and 5000 = 4
_ _ _ _
First digit of the number will be filled by 4.
So, the number of ways to fill the first digit = 1
4 _ _ _
If the given number is divisible by 5 then the last digit should be 5.
4 _ _ 5
So, the number of ways that the last digit should be 5 is = 1
Remaining 2 digits between 4 and 5 can be filled by any number given.
Therefore, number of ways that second place can be filled = 6
Similarly, number of ways that the third place of the number can be filled = 6
Now total number of ways = 1 × 6 × 6 × 1
= 36
Therefore, numbers between 4000 and 5000, divisible by 5 = 36
PLS HELP ASAP Ms. Farrell has 36 students in her class. This is 5 more
students than Mr. Carter has.
How many students does Mr. Carter have? Choose the correct equation and
answer.
A. X+36 = 5
x = 41 students
B. x+ 5 = 36
x= 41 students
O C. X+41 = 36
x= 77 students
D. x+ 5 = 36
x= 31 students
Answer:
its d 31 is 5 less than 36.....
A map has a scale of 2 cm to 10 km.
a
Rewrite the scale as a ratio in the form 1:n.
Answer:
1cm:5km
Step-by-step explanation:
Which of the following rational functions are graphed below?
A. F(X)=1/x+4
B. F(X)=4/x
C. F(X)=1/4x
D. F(X)=1/x-4
According to the vertical asymptote of the graph, the rational function is:
A. [tex]F(X) = \frac{1}{x + 4}[/tex]
A vertical asymptote of a function is a point that is outside of it's domain.
In a fraction, they are the roots of the denominator.In the graph, the vertical asymptote is at x = -4, hence [tex]x = -4 \rightarrow x + 4 = 0[/tex] is a root of the denominator, and the correct option is:
A. [tex]F(X) = \frac{1}{x + 4}[/tex]
To learn more about vertical asymptotes, you can take a look at https://brainly.com/question/11598999
Answer to your question is A. F(X)=1/x+4
how many solutions does the equation 7x-4=7x+15
Answer:
No solution
Step-by-step explanation:
7x-4=7x+15
-4 = 15 = not true
Answer:
0 because is you -7x from both sides you get -4=15 which doesn't work.
Step-by-step explanation:
In triangle UVW, UW is extended through point W to point X, angle VWX = (7x + 10), angle WUV = (2x + 20°, and angle UVW = (2x + 17)°. Find angle VWX.
Serious Question That may give you 100% Verify right answer:
Do you have a Image since I already answer here the answer
Answer
5.0/5
7
oeerivona
Answer:
The value of x is 9°
Step-by-step explanation:
The given parameters are;
ΔUVW with side UW extended to X
m∠UVW = (3x + 4)°
m∠VWX = (8x -12)°
m∠WUV = (x + 20)°
We have that m∠UVW + m∠WUV + m∠VWU = 180° (Sum of the interior angles of a triangle theorem)
∴ m∠VWU = 180° - (m∠UVW + m∠WUV)
Also we have that m∠VWX and m∠VWU are supplementary angles, (The sum of angles on a straight line)
∴ m∠VWX + m∠VWU = 180° (Definition of supplementary angles)
m∠VWU = 180° - m∠VWX
∴ m∠VWX = (m∠UVW + m∠WUV)
Substituting the values, gives;
(8x -12)° = (3x + 4)° + (x + 20)°
8x - 3x - x = 4 + 20 + 12
4x = 36
x = 36/4 = 9
x = 9°.
Caitlyn reduced the size of a rectangle to a width of 3 in.
What is the new height if it was originally 10 in tall and 15
in wide
Answer:
h = 2
Step-by-step explanation:
you know the original rectangle [h = 10, w = 15]
1. The height of 15 inches turned to 3 inches by diving by 5
2. You have to do the same with the height too!
3. 10/5 = 2
The new height is 2 inches.
The diagram shows a logo
Answer/Step-by-step explanation:
✔️Find EC using Cosine Rule:
EC² = DC² + DE² - 2*DC*DE*cos(D)
EC² = 27² + 14² - 2*27*14*cos(32)
EC² = 925 - 756*cos(32)
EC² = 283.875639
EC = √283.875639
EC = 16.85 cm
✔️Find the area of ∆DCE:
Area = ½*14*27*sin(32)
Area of ∆DCE = 100.15 cm²
✔️Since ∆DCE and ∆ABE are congruent, therefore,
Area of ∆ABE = 100.15 cm²
✔️Find the area of the sector:
Area of sector = 105/360*π*16.85²
Area = 260.16 cm² (nearest tenth)
✔️Therefore,
Area of the logo = 100.15 + 100.15 + 260.16 = 460.46 ≈ 460 cm² (to 2 S.F)
A retired woman has $80,000 to invest but needs to make $9,000 a year from the interest to meet certain living expenses. One bond investment pays 15% annual interest. The rest of it
she wants to put in a CD that pays 7%.
Set up and solve the equation for how much the woman should invest in each option to sustain exactly a $9,000 annual return.
bond $ ?
CD $?
Answer:
bond $42,500
CD $37,500
Step-by-step explanation:
While x is investment in bond in k$
y is investment in CD in k$
[tex]x+y=80\\.15x+.07y=9[/tex]
Solving gives
x=42,5
y=37,5
Geoff earns 10% commission on his total sales at work. To pay for a concert ticket, Geoff needs to earn $135 in commission. What must Geoff's sales total for the week be?
A. $13.50
B. $135.00
C. $148.50
D. $1,350.00
Answer:6
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
BRAINLY Find the surface area of the pyramid.
Answer:
100 square centimeters
Step-by-step explanation:
A takeaway sells 10inch pizzas
How many sides are there on a standard pencil.
If a person can see 6 miles from a height of 25 feet, how far can a person see from a height of 196 feet?
Answer:
47,04 miles
Step-by-step explanation:
you can clearly see something 20 feet away that you should be able to see from that distance. If a person can see 6 miles from a height of 25 feet, by dividing 196 by 25 we can get the following calculation
196 ÷ 25 = 7,84
Then you gan multiply
7,84 × 6 = 47,04 miles
Or equal to 75703,542 meters
which digit is in the hundredths place in the number 85,607.293×
Answer:
9
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
Which procedure can be used to solve the equation 540 = 12 z, and what is the solution?
Multiply both sides by 12; the solution is 6,480.
Multiply 12 z by 12; the solution is 540.
Divide both sides by 12; the solution is 45.
Divide 12 z by 12; the solution is 540.
Answer:
C) Divide both sides by 12; the solution is 45.
Step-by-step explanation:
Hope this helps got it right on Edge 2021
Answer:
The correct answer is C
Step-by-step explanation:
Heeellllppppp!!!!
(9,-4); slope=-2/3
Answer:
(y - y') = m ( x - x') [m = slope]
y - (-4) = 2/3 (x - 9)
(y +4) = 2/3 (x - 9)
3(y +4) = 2(x - 9)
3y +12 = 2x - 18
2x - 3y - 18 - 12 =0
2x - 3y - 30 =0
hope it helps ☺️☺️
The equation of the line passing through (9, -4) having slope = -2/3 will be y = (-2/3)x + 2
What is the general equation of a Straight line?
The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.
y = mx also represents direct proportionality. We can write [m] as -
m = y/x
OR
y₁/x₁ = y₂/x₂
Given is a line passing through (9, -4) having slope=-2/3.
The general equation of a straight line is -
[y] = [m]x + [c]
Now -
m = - 2/3
and
- 4 = -2/3 x 9 + c
- 4 = - 6 + c
c = - 4 + 6
c = 2
The equation will be -
y = (-2/3)x + 2
Therefore, the equation of the line passing through (9, -4) having slope = -2/3 will be y = (-2/3)x + 2
To solve more questions on straight line, visit the link below-
https://brainly.com/question/29030795
#SPJ2
A plane leaves an airport traveling at 400 mph in the direction N 45° E. A wind is blowing at 40 mph in the direction N 45° W. What is the ground speed of the plane?
400 mph
402 mph
429 mph
440 mph
Answer:
402 mph
Step-by-step explanation:
Draw a right triangle with 400 and 40 as the two legs.
You know this is a right angle because 45 degrees NE is perpendicular to 45 degrees NW. (imagine a compass)
So, the two side lengths are 400 and 40
Using the Pythagorean theorem, (a^2 + b^2 = c^2) you can see that the answer is 401.995, or 402
The ground speed of the plane is 402 mph , Option B is the correct answer.
What is a Right Angled Triangle ?A right angle triangle is a triangle with one of its sides 90 degree.
It is given that
airplane is travelling at speed of 400mph in the direction N 45° E
wind is blowing at 40 mph in the direction N 45° W
The resultant of these two vectors will be the ground speed of the plane.
As they both are travelling in perpendicular directions ( NE is perpendicular to NW)
A right angled Triangle as attached in the image will be formed
Hypotenuse by Pythagoras theorem will give the ground speed of the plane
Hypotenuse = [tex]\sqrt { 40 ^2 + 400^2}[/tex]
Hypotenuse = 401.99 mph
Therefore the ground speed of the plane is 402 mph.
To know more about Right Angled Triangle
https://brainly.com/question/3770177
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Can someone explain this please?
9514 1404 393
Answer:
L = 5√10
Step-by-step explanation:
The Pythagorean theorem tells you the square of the hypotenuse is the sum of the squares of the other two sides.
(10√3)² = L² + (5√2)²
300 = L² + 50 . . . . . . . . . evaluate the squares
L² = 300 -50 = 250 . . . . subtract 50
L = √250 = (√25)(√10) . . . . take the square root and factor for simplification
L = 5√10
Multiply H by 25 to get d Which scenario matches the relationship shown in the table
Answer:
Aditi makes 25 dollars an hour
Step-by-step explanation:
I did that too :)
There are a total of 375 flamingos, parrots, herons, and chachalacas at the Famous
Bird Sanctuary. The ratio of flamingos to parrots to herons is 10:7:3, respectively.
There are twice as many flamingos as chachalacas. How many chachalacas are at the
sanctuary?
9514 1404 393
Answer:
75
Step-by-step explanation:
Since there are twice as many chachalacas as flamingos, the ratio of flamingos to parrots to herons to chachalacas is 10:7:3:5. This is a total of 25 ratio units. Each ratio unit stands for 375/25 = 15 birds, so the number of chachalacas is 5·15 = 75.
There are 75 chachalacas at the sanctuary.