Answer:
The dimensions of the park on the scale drawing are 12 inches by 20 inches
The actual dimensions are given as:
Park = 600 feet by 1000 feet
Swing set = 25 feet by 100 feet
The dimension of the swing set on the scale drawing is given as: 0.5 inch by 2 inches
The above means that, the scale factor (k) is:
--- i.e. divide the scale measurement by the actual measurement
Evaluate both equations
So, we have:
Multiply the scale factor by the dimensions of the park, to get the scale measurement
Hence, the dimensions of the park on the scale drawing are 12 inches by 20 inches
Read more about scale measurements at:
brainly.com/question/24579126
Step-by-step explanation:
4
3
Find the exact length of the third side
Question:
Solve for x
(x+3)^2
Answer Choices:
2x^2 + 3x + 2
x^2 + 6x + 9
Answer:
x^2+6x+9
Step-by-step explanation:
(x+3)^2=
(x+3)(x+3)=
x^2+3x+3x+9=
x^2+6x+9
A side of the triangle below has been extended to form an exterior angle of 132 find the value of x
Answer: X=57
Step by Step Explination: 132 divided by X is 57 which means 57 is X if they can make a problem
Mr. Appleman own a rectangle apple orchard that measure 18m long and has a diagonal length of 25m. What is the width of his Orchard to the nearest the tenth of a metre?
Answer:
length = 17.3 m
Step-by-step explanation:
Rectangles have four right angles, so the diagonal and its sides will form a right triangle. This allows us to use the Pythagorean Theorem to find the length.
l^2 + 18^2 = 25^2
sqrt l^2 = sqrt (25^2 - 18^2), where l = 17.349 = 17.3 m
Simplify the following expression:
4x-5.2y+6y+7.0x-8x
Answer:
3x + 0.8y
Step-by-step explanation:
1- Reorder and gather like terms
2- Collect coefficients of like terms
3- Calculate the sum or difference
Brad bought a total of 9 CD's and tapes. The CD's cost $7 each and the tapes cost $6 each. He paid a total of $58. How many of each did he buy?
I ONLY NEED THE EQUATION...I can get the numbers of cans and peas I just need the equations to find the numbers
This is Algebra....please help me!!
Answer:
Step-by-step explanation:
Let the number of CD's = c
Let the number of tapes = t
Total number of CD's and tapes = 9
c + t = 9 --------------- (i)
Cost of 'c' CD's = 7*c = 7c
Cost of 't' tapes = 6*t = 6t
Total cost = $ 68
7c + 6t = 58 -----------------(ii)
Multiply the first equation by (-6) and then add the equations.
(i)* (-6) -6c - 6t = - 54
(ii) 7c + 6t = 58 {Now add. here t will be cancelled}
c = 4
Number of CD's = 4
Plugin c = 4 in equation (i)
4 + t = 9
t = 9 - 4
t = 5
Number of tapes = 5
Can someone please help with this math question:)
Solution:
The rationalisation factor for [tex] \frac{1}{ a - \sqrt{b} }[/tex] is [tex]a + \sqrt{b} [/tex]
So, let us apply it here.
[tex] \frac{1}{5 - \sqrt{2} } [/tex]
The rationalising factor for 5 - √2 is 5 + √2.
Therefore, multiplying and dividing by 5 + √2, we have
[tex] = \frac{1}{5 - \sqrt{2} } \times \frac{5 + \sqrt{2} }{5 + \sqrt{2} } \\ = \frac{5 + \sqrt{2} }{(5 - \sqrt{2})(5 + \sqrt{2} ) } \\ = \frac{5 + \sqrt{2} }{ {(5)}^{2} - ( \sqrt{2})^{2} } \\ = \frac{5 + \sqrt{2} }{25 - 2} \\ = \frac{5 + \sqrt{2} }{23} [/tex]
Answer:
[tex] \frac{5 + \sqrt{2} }{23} [/tex]
Hope you could understand.
If you have any query, feel free to ask.
Answer:
[tex]\frac{5+\sqrt{2} }{23}[/tex]
Step-by-step explanation:
To rationalise the denominator, multiply the numerator and denominator by the conjugate of the denominator.
the conjugate of 5 - [tex]\sqrt{2}[/tex] is 5 + [tex]\sqrt{2}[/tex] , then
= [tex]\frac{1(5+\sqrt{2}) }{(5-\sqrt{2})(5+\sqrt{2}) }[/tex] ← expand denominator using aFOIL
= [tex]\frac{5+\sqrt{2} }{25-2}[/tex]
= [tex]\frac{5+\sqrt{2} }{23}[/tex]
Renaldo increased the image size on the computer screen by 20%. By
what percent did the area of the image increase?
Answer:
44%
Step-by-step explanation:
100 + 20 = 120/100
(1.2)^2=1.44
144 - 100 = 44%
Enrique took his family out for dinner. He planned to leave a 15% gratuity on the bill. What is the total cost if the bill was $123.50?
Answer:
$142.03
Step-by-step explanation:
15% Gratuity on the Bill=
$123.50 X 0.15 =$18.525
Add this to the bill cost to find the total cost.
$123.50+$18.525
=$142.03
a sound is sent at the bottom of a pond if echo is heard after 6 seconds calculate the depth of the pond .the speed of sound I'm water is 1498m/s
Answer:
Depth of the pond: 4494 m
Explanation:
if echo is heard after 6 seconds, it takes 3 seconds to reach to bottom of pondso time will be 3 seconds and speed given 1498 m/sSteps:
distance = speed * timedistance = 1498 * 3distance = 4494 mYou are considering making a major purchase on your credit card. You should ask yourself the following questions, except which answer choice? a. Would it cost me less if I came up with a different purchasing plan? b. What else can I purchase to reach my full credit limit? c. Will I receive any incentives from my credit card company for making this purchase? d. How much will my purchase really end up costing if I don’t pay off the balance immediately? Please select the best answer from the choices provided A B C D.
Answer:
D would be the wisest choice.
Step-by-step explanation:
Consider the taxes and extra expenses the purchase may have. They may raise the actual payment, plus if you don't pay the balance immediately it'll keep growing and growing until you're in deeper debt.
Hope this helped, have a nice day!
someone help it’s urgent! I’ll brainlist you.
Answer:
Constant: -17
Coefficient: 7
Number of terms: 3
Step-by-step explanation:
Constant: -17
-> This is the number that doesn't change. No matter what m or p is, -17 will be -17
Coefficient: 7
-> The coefficient is the number next to the variable. In this case, the number "with" (being multiplied by) p is 7
Number of terms: 3
-> There are three terms. A term includes positive/negative, number, variables, etc.
-> The terms are:
[] [tex]9m^{4}[/tex]
[] [tex]7p[/tex]
[] [tex]-17[/tex]
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.
- Heather
Find the sum of 29,the product of 2and 9 and the differences between 2and 9
Answer:
11, 18, -7
Step-by-step explanation:
Sum: 2 + 9 = 11
Product: 2 x 9 = 18
Difference: 2 - 9 = -7
What is the 20th term for the sequence 3,7,11,15…..
Answer:
79
Step-by-step explanation:
Keep adding 4 since the common difference is 4
3,7,11,15,19,23,27,31,35,39,43,47,51,55,59,63,67,71,75,79
You have $20 to spend on pizza. It costs $16 plus $1.25 for each additional topping, tax included. a) Write an inequality to determine the maximum number of toppings the pizza can have. b) Solve the inequality from part a. c) Use your answer to decide how many toppings you can get on your pizza. *You can't get part of a topping!
Answer:
3 toppings??, sorry if its wrong im confused on the last part (c)
Step-by-step explanation:
16+1.25x≥20
-16 -16
1.25x ≥4
1.25 ≥ 1.25 4/1.25=
x ≥ 3.2
A = 6 - 35 B = 3x + 53
Solve for x then find the measure of A.
Answer:
A = 73°
Step-by-step explanation:
A + B = 180 because of alternating interior angles
Substitute each angle
6x - 35 + 3x + 53 = 180
9x + 18 = 180
9x = 162
x = 18
Substitute A
A = 6x - 35
A = 108 - 35
A = 73
Hope this helps
Have a great day!
an event has even odds when the odds in favor of (or against) the event are 1:1. What is the probability of an event with even odds?
Answer:
1:1
Step-by-step explanation:
have a good day friend :)
Find the perimeter and area of the figure pictured below.
Perimeter of the figure = 26.5 m
Area of the figure = 59.68 m².
What is the Perimeter of a Figure?Perimeter of a figure is the length around the borders of the figure.
Find the Perimeter of the Figure:
Perimeter = 3.9 + 7.4 + 10.6 + 4.6 = 26.5 m
Area of the Figure:
Decompose the figure into two rectangles, rectangle 1 and rectangle 2.
Area of rectangle 1 = length × width = 10.6 × 4.6 = 48.76 m².
Area of rectangle 2 = length × width = 3.9 × (7.4 - 4.6) = 10.92 m².
Area of the figure = 48.76 + 10.92 = 59.68 m².
Learn more about perimeter and area of a figure on:
https://brainly.com/question/10061869
how are the two coin stacks different from each other?
does either stack of coins resemble a geometric solid? if so which stack and what solid?
how do the heights of the two stacks compare?
how do the volume of the two stacks compare? explain your reasoning.
Question 1
You probably agree that it's fairly obvious that the stack on the right is slanted, while the stack on the left is straight up and down (more or less).
--------------
Question 2
The stack on the left resembles a cylinder. It might help to wrap the coins in a paper casing to better see this.
--------------
Question 3
The heights of each stack appears to be the same. This is assuming both stacks have the same number and type of coins.
--------------
Question 4
The two stacks have the same volume. This may seem a bit strange, but if both stacks have the same number and type of coins, then each of the individual coins has the same volume. When put together, the overall 3D solids will have the same volume as well. It doesn't matter if we slanted one of the stacks or not.
Please explain how to do this! My percentage is supposed to be 50% complete with the class so far, but im only at 35%. Thank you. "Proving Pythagorean theorem"
Answer: 28
Step-by-step explanation:
[tex]\sqrt{8^2} -\sqrt{6^2} =\sqrt{?}[/tex]
[tex]\sqrt{64}-\sqrt{36} =\sqrt{?}[/tex]
[tex]\sqrt{64-36} = \sqrt{?}[/tex]
[tex]? = 64 - 36[/tex]
[tex]? = 28[/tex]
Solve the following system of equations graphically on the set of axes below.
y= 3x-6
y= -1/2x+8
like how would you graph this because it is on delta math
I really need help
Answer:
{ 3x - y = 6
{ x + 2y = 16
Step-by-step explanation:
1- Simplify
*The Graph is in the attachment, hope this helps :)
I- $8,950
R- 6.85%
T- 6 years
Answer:
$4,368
Step-by-step explanation:
This is compound interest. and to calculate compound interest, which is (Amount - Principal) but we dont know the value for amount so we find the amount first by using the formula.
A = P ( 1 + R ) ^n
100
where p = principal ($8,950)
a = amount (?)
r = interest rate (6.85%)
n = time ( no of years) (6)
A = 8,950 ( 1 + 6.85 ) ^6
100 A = 8,950 ( 1 + 0.0685) ^6
A = 8,950 ( 1.0685) ^6
A = 8950 x 1.4881 A = 13,318
WE THEN FIND COMPUND INTEREST C = A MOUNT - PRINCIPAL
13, 318 - 8950 = $4,368
please help me please
Answer:
first was the tan4cot
second was (-g,f)
Determine if the statement is true or false.
11 = 4 (mod 7)
Answer:
false
Step-by-step explanation:
11 ≠ 4
11=11
4=4
Need help please I only have 50 more min to turn this in so can anyone help
pls help! XZKH ~ RBCP. Complete the statement below.
∠Z≅ ?
Answer:
∠Z ≅ ∠B
Step-by-step explanation:
∠X ≅ ∠R
∠Z ≅ ∠B
∠K ≅ ∠C
∠H ≅ ∠P
Hope this helps!! :)
Answer:
∠Z ≅ ∠B
Step-by-step explanation:
Z is congruent to B
I need a lot of help sooo….
Ten years ago the father was six times as old as his daughter. After ten years, he will be twice as old as his father . Determine their present age ..
Let
10years ago
Daughter's age=xFather's age=6x10years after
Daughter's age=x+20Father's age=6x+20ATQ
[tex]\\ \tt\hookrightarrow 6x+20=2(x+20)[/tex]
[tex]\\ \tt\hookrightarrow 6x+20=2x+40[/tex]
[tex]\\ \tt\hookrightarrow 4x=20[/tex]
[tex]\\ \tt\hookrightarrow x=5[/tex]
Father's present age=6x+10=6(5)+10=30+10=40yrsDaughter's present age=x+10=5+10=15yrs▪︎If ten years ago , the age of daughter was x years , then , ten years ago the age of her father was 6x years ▪︎
Present age of father = ( 6x + 10 ) years Present age of the daughter = ( x + 10 ) yearsTen years after ,
Father's age = ( 6x + 10 + 10 ) years => ( 6x + 20 ) years Daughter's age = ( x + 10 + 10 ) years => ( x + 20 ) yearsAccording to the question,
▪︎6x + 20 = 2 ( x + 20 )
6x + 20 =! 2x + 40 6x - 2x = 40 - 40 4x = 20 x = 5Therefore , Present age of the Father = 6x + 10 = 6 × 5 + 10 = 40 years and present age of the daughter,
x + 10 = 5 + 10 = 15 yearshence , the age of his daughter is 15 years
Hope it helps ~
Algebra 1
> J.8 Find the number of solutions KBP
How many solutions does this equation have?
3m + 1 = 3m - 4
no solution
one solution
infinitely many solutions
Can someone help me in 5-66 pls
Help me please
Answer:
a) (2,9); b) no points of intersection
Step-by-step explanation:
a)
Set the two equations equal to each other
7x - 5 = -2x + 13
Rearrange collecting like terms and solve
9x = 18
x = 2
Sub in x = 2 into either of the equations and it should yield the same result
Eq.1 y = 7(2) - 5 = 9
Eq.2 y = -2(2) + 13 = 9
Therefore the point of intersection is (2,9)
The graph confirms this result (see graph 1 with red and blue lines)
b)
As the gradients are the same, we can tell straight away that the two lines should be parallel and never intersect, but we'll try to solve it algebraically using the same method as in part a.
3x - 1 = 3x + 2
When rearranging, the x's cancel out which can be seen when subtracting 3x from both sides
-1 = 2
This equation is clearly incorrect. This means that there are no values of x at which the two equations are equal. Graphically, this means that the two lines are parallel and there are no points of intersection (see graph 2 with purple and green lines)