Answer:
the newer moat is 169 cm longer than the older one
Step-by-step explanation:
in order to find the difference in length of the two castles, we will first find the perimeters of the two castles then calculate the difference in the perimeters:
old castle:
dimension = 484cm by 386cm
perimeter = 484 + 386 = 870 cm
new castle:
dimension = 725cm by 314cm
perimeter = 725 + 314 = 1039 cm
difference = 1039 - 870 = 169 cm
The total length of the moats used is equals to the perimeter of the sand castles, therefore, the newer moat is 169 cm longer than the older one.
Answer:
Look I know I'm about 2 1/2 years late but the answer is not 169 or whatever the person above me said, it's 660 I answered this before.
Every 10 years the alumni have a reunion. Every 2 years the alumni have a soccer game. How often do the reunion and the soccer game fall in the same year?
Answer:
They would fall in the same year every 10 years
Step-by-step explanation:
Here in this question, we are interrelated in calculating the number of years it will take the alumni reunion and the alumni soccer game to fall in the same year.
Now looking at the number of years, we can see we have every 2 and every 10 years
To get the year in which they happen at the same time, we can simply find the lowest common multiple of 2 and 10 and that would be 10
This can be visualized in a way that;
The reunion has happened now, and will happen in the next 10 years.
Now since the soccer game has happened now, in the next 10 years, we shall be having 5 episodes. This means that it will take up to the 10th year before we have the soccer game and the alumni reunion occurring at the same time and the mathematical reason for this is that , 10 is the lowest common multiple of 10 and 2
Answer:
1 times
Step-by-step explanation:
Hello,
The alumni have reunions every 10 years
But also have football games every 2 years
We have to find how often do the football and reunion fall the same year.
Working with a space of 10 years
In 10 years, reunions happen only once
In 10 years, soccer games happen five times
Assuming we're in the year 2020,
The next reunion would likely occur in year 2030.
But soccer games will happen in year 2022, 2024, 2026, 2028 and finally 2030.
Checking both soccer and reunion coincidence, we can only find one which is in year 2030.
So, soccer games and reunions happen once in 10 years
At Central Online High School, 45/100 of the students have a dog, 30/100 of the students have a cat, and 18/100 of the students have both a dog and a cat. What is the probability that students who have a cat also have a dog?
Answer:
6/15Step-by-step explanation:
18/30 becuase 30 have a cat and 18 have both.
18/30 = 6/15
I'm always happy to help :)
A bag contains four yellow jerseys numbered one to four. The bag also contains three purple jerseys numbered one to three. You randomly pick a jersey. It is purple or has an even number. * A: 0.714 B:0.727 C:0.778 D:0.286
Answer:
A: 0.714
Step-by-step explanation:
four yellow jerseys numbered one to four. The bag also contains three purple jerseys numbered one to three. for a total of 7 jerseys
3 even + 3 purple - the purple even ( no double counting) = 5
P( purple or even) = purple or even / total
= 5/7
= .71428
What’s the logarithmic form equation?
Answer: i hope this will help you
a^x=y this is a simple equation
where as loga(in the base) y=x this is a logarithmic equation
Trent went skiing with his family. His mom and dad made him put on many different layers of clothing so that he would be warm while playing out in the snow. What did the layers of clothing act as? A) conductor B) friction C) insulation D) radiation
I think the answer is A. conductor
Answer:
Step-by-step explanation:
Its insulation because the clothing traps in your body heat.
Please answer correctly !!!!! Will mark brainliest !!!!!!!!!!!
Answer:
no
Step-by-step explanation:
What is 4+4 will mark as brainliest
Answer:
8
Step-by-step explanation:
if you have 4 books and I add you another 4 books you will have 8 books altogether.
What is the average rate of change from
x = 10 to x = 15?
Answer:
✔ -2
Step-by-step explanation:
correct
Answer:
-2 is your answer
Step-by-step explanation:
PLEASE HELP!
The following are the last 10 run scores Colin got in cricket: 31, 10, 26, 16, 28, 31, 9, 11, 8, 1 a) Work out Colin's mean score. b) Colin plays cricket again on Sunday. He gets 27 runs. What is his new mean score? Give your answers as decimals.
Answer:
Colin's mean score = 17.10
The new mean is 18.00
Step-by-step explanation:
Given scores: 31, 10, 26, 16, 28, 31, 9, 11, 8, 1
number of terms: 10
mean is calculated by given formula = sum of all the data set/ number of terms in the data set.
mean for the 10 scores = (31+ 10+ 26+ 16+ 28+ 31+ 9+ 11+ 8+ 1 )/10
= 171/10 = 17.1
Colin's mean score = 17.10
____________________________________________
runs scored by Colin in 11th match = 27
number of terms: 11
new mean = new sum /number of terms
new mean = (old sum score + 27)/11 = (171+27)/11
new mean = 198/11 = 18
The new mean is 18.00
solve the system of equations using elimination 3c - 8d =7 and c + 2d = -7
Answer:
d=-2 c=-3
Step-by-step explanation:
3c-8d=7
4(c+2d=-7)
3c-8d=7
4c+8d=-28
4c+3c-8d+8d=7-28
7c=-21
c=-3
c+2d=-7
-3+2d=-7
2d=-4
d=-2
Given.
[tex](3c-8d=7)=(c+2d=-7)[/tex]
Multiply 4 to the second equation.
[tex]4(c+2d=-7)[/tex]
[tex]3c+8d=-28[/tex]
Compare the like terms.
[tex]4c+3c-8d+8d=7-28[/tex]
Solve.
[tex]7c=-21[/tex]
Divide 7 to both sides
[tex]\frac{7c}{7}=\frac{-21}{7}[/tex]
[tex]c=-3[/tex]
Substitute (-3) for c into the original second equation.
[tex]c+2d=-7[/tex]
[tex]-3+2d=-7[/tex]
Add (3) to both sides.
[tex](-3+2d=-7)+3[/tex]
[tex]2d=-4[/tex]
Divide (2) to both sides.
[tex]\frac{2d}{2}=\frac{-4}{2}[/tex]
[tex]d=-2[/tex]
Check your work.
[tex]3(-3)-8(-2)=7[/tex]
[tex]-9+16=7[/tex]
[tex]7=7[/tex]
[tex]c+2d=-7[/tex]
[tex]-3+2(-2)=-7[/tex]
[tex]-3-4=-7[/tex]
[tex]-7=-7[/tex]
Therefore your answer is.
[tex]c=-3\\d=-2[/tex]
The graph below represents the distance a pilot is from the home airport during a period of time.
Answer:
C. Decreasing
Step-by-step explanation:
Angela just learned the processes of using the distributive property. She learned that when a number is outside the parentheses, it means to that number by everything inside the parentheses.
Answer:
Angela should multiply the outside number by the numbers in the parenthesis.
Step-by-step explanation:
The rule of distributive property:
[tex]a(b+c)=ab+ac[/tex]
You have to multiply the outside number by numbers in the parentheses.
Example:
[tex]3(2+4)\\\text {Distribute 3 into the parenthesis:}\\\left \{ {{3*2=6} \atop {3*4=12}} \right.\\ \text {So:}\\\boxed{3(2+4)=6+12}[/tex]
Answer:
its muiltiply
Step-by-step explanation:
i promise
What is the volume of a rectangular prism with a length of 5 ft, width of 6 ft and a height of 4.5 ft ?
Answer:
135ft^3
Step-by-step explanation:
Multiply all of the numbers to get your answer.
Who is the dictator of USSR
Answer:
No. Leaders Date of death
1 Vladimir Lenin January 21, 1924
2 Joseph Stalin March 5, 1953
3 Georgy Malenkov January 14, 1988
4 Nikita Khrushchev September 11, 1971
Step-by-step explanation:
What is the slope of the equation Y=2x-?
o -7
Answer:
m = 2
Step-by-step explanation:
Your function Y=2x- is not properly formed. However, y = 2x carries enough information to enable you to determine the slope of the graph of your function: It is m = 2.
the volume of a cylindrical container is 1500cm. if the base area of the container is 120cm. what is the height of the container
Answer:
12.5 cm
Step-by-step explanation:
Find the height of a prism in the following way:
height = Volume divided by Area of cross section.
Substitute the values and so you have:
1500 divided by 120 = 12.5
Angle of a sum of 90 degrees
Answer:
Angles that sum up to 90° are called complementary angles. For example if there are two angles with measures 40° and 50° they are know to be complementary cuz they sum up to 90.
All the very best for your math exam by the way :)
A person places $72300 in an investment account earning an annual rate of 7.1%, compounded continuously. Using the formula V = Pe^rt, where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 19 years.
Answer:
Step-by-step explanation:
Our P is 72300; our r is .071, e is Euler's number (a constant) and t is 19 years. Filling in:
[tex]V=72300e^{(.071)(19)}[/tex] and
[tex]V=72300e^{1.349[/tex] and
V = 72300(3.853570033) so
V = $278,613.11
A wheelchair access ramp has an angle of elevation of 31 degrees. If the ramp reaches to the top of a 42 inch high porch, how long is the ramp?( also that's a pretty tall porch!)
Answer:
81
Step-by-step explanation:
sin 31 = 42/x
x sin 31 = 42
x = (sin 31)/42
Someone help me with this like right now like right now
Answer:
C
Step-by-step explanation:
M = K
N = L
M + K + N + L = 360
Answer:
C
Step-by-step explanation:
The perimeter of an isosceles triangle is 10 ¾ cm . If one of its equal side is 2 ¾ cm ,the third side IS, *
Answer:
4 cm
Step-by-step explanation:
Given is an isosceles triangle. Therefore it's two sides will have equal lengths.
Let the length remaining sides be x cm.
[tex]x + x + 2 \frac{3}{4} = 10 \frac{3}{4} \\ \\ 2x + \frac{11}{4} = \frac{43}{4} \\ \\ 2x = \frac{43}{4} - \frac{11}{4} \\ \\ 2x = \frac{32}{4} \\ \\ 2x = 8 \\ \\ x = \frac{8}{2} \\ \\ \huge \red{ \boxed{x = 4 \: cm \: }}[/tex]
MY FINAL QUESTION WILL FOREVER BE GRATEFUL PLS HELP WILL GIVE BRANLIEST!! AT LEAST TAKE A LOOK!!!! PLS I AM BEGGING!!!
17. Write an informal proof to show triangles ABC and DEF are similar.
IF YOU LOOK CLOSE YOU CAN SEE THE NUMBERS AND LETTERS FOR THE SHAPE,!!
The smaller triangle is DEF which has sides
DF = 1DE = 2EF = 3The larger triangle ABC has side lengths of
AC = 2AB = 4BC = 6Note how the sequence 2,4,6 is exactly double that of 1,2,3. Therefore, the sides of triangle ABC are twice as large as the corresponding sides of triangle DEF.
Put another way, computing the ratios of the corresponding sides all lead to the same value, so we have BC/EF = 6/3 = 2, and we have AB/DE = 4/2 = 2, and finally AC/DF = 2/1 = 2. These three equations all confirm ABC is twice as large as DEF.
By the SSS (side side side) similarity theorem, we can conclude the triangles are similar. They have the same shape, but different size.
One question in a survey about what kind of cars people prefer to drive is: “Would you prefer a ‘soccer Mom’ minivan or a ‘cool Mom’ convertible?” This question contains: A.bias B.errors C.statistics D.data PLEASE HELPPPPPP
Answer:
Bias.
Step-by-step explanation:
It contains bias because its forcing people to pick the "cool" mom car in stead of the "soccer mom" car.
Answer:
I hope this helps.
Step-by-step explanation:
If f(x) = 3x + 5, find f(2).
Answer:
f(2) = 11
hope this helps
Step-by-step explanation:
3(2)+5
6+5
11
Answer:
11
Step-by-step explanation:
3(2)+5=11
Substitution -- :D
What is the area of ABC? Round to the nearest tenth of a square unit
Answer:
A=61.8\ units^2
Step-by-step explanation:
Select the correct answer from each drop-down menu.
Consider the trinomial x2 − 9x + 20.
The factors of this trinomial are ()().
Answer:
[tex](x - 4)(x - 5)[/tex]
Step-by-step explanation:
x2 − 9x + 20
[tex] {x}^{2} - 9x + 20 \\ {x}^{2} - 5x - 4x + 20 \\ x(x - 5) - 4(x - 5) \\ (x - 4)(x - 5)[/tex]
The factors of the given trinomial are (x-5)(x-4).
The given trinomial is x²− 9x + 20.
How to factorise trinomial?To the factor, a trinomial in the form x² + bx + c, find two integers, r and s, whose product is c and whose sum is b.
Rewrite the trinomial as x² + rx + sx + c and then use grouping and the distributive property to factor the polynomial. The resulting factors will be (x + r) and (x + s).
Now, x²− 9x + 20 can be written as x²− 5x-4x + 20
=x(x-5)-4(x-5)
=(x-5)(x-4)
Therefore, the factors of this trinomial are (x-5)(x-4).
To learn more about the trinomials visit:
https://brainly.com/question/9102330.
#SPJ5
PLS HELP ASAP!!!
Figure RST is reflected about the x-axis and then translated down 1 unit to obtain figure R′S′T′:
A coordinate plane is shown. Triangle RST has vertices R at 4 comma negative 2, S at 7 comma negative 2, and T at 5 comma negative 5. Triangle R prime S prime T prime has vertices R prime at 4 comma 1, S prime at 7 comma 1, and T prime at 5 comma 4.
Which statement best describes the relationship between the two figures? (4 points)
Figure RST is congruent to figure R′S′T′.
Figure RST is bigger than figure R′S′T′.
The measure of angle R is equal to the measure of angle S′.
The measure of angle R is equal to the measure of angle T′.
A) Figure RST is congruent to figure R′S′T′.
Answer:
a
Step-by-step explanation:
Which value is NOT equivalent to the other values?
A: 1.5
B: 15%
C: 3/20
D: 0.15
Answer:
A
Step-by-step explanation:
1.5 does not equal 0.15 or the other values.
what is x if -3x + 6 =39
Answer:
x = -11
Step-by-step explanation:
-3x + 6 = 39
Combine Like Terms
-3x = 33
Divide Each Term then simplify
x = -11
Hope This Helps!
Answer:
x=-11
Step-by-step explanation:
In order to solve for x, we have to get x isolated.
To do that, we must perform the inverse operations to both sides of the equation.
-3x+6=39
6 is being added on to -3x. The inverse of addition is subtraction. Subtract 6 from both sides of the equation.
-3x+6-6=39-6
-3x=39-6
-3x=33
x is being multiplied by -3. The inverse of multiplication is division. Divide both sides by -3.
-3x/-3= 33/-3
x= 33/-3
x=-11
help help help help help help
Answer:
21.98
Step-by-step explanation:
C = Dπ
D = 7
7 * 3.14 = 21.98
