1800 meters of fencing is required to enclose a field.
Given that, the dimension of the field is 300 meters by 600 meters.
What is the perimeter of a rectangle?The perimeter of a rectangle is the total distance of its outer boundary. It is twice the sum of its length and width and it is calculated with the help of the formula: Perimeter = 2(length + width).
Now, the perimeter of the rectangular field=2(600+300)
=2×900=1800 meters.
Therefore, 1800 meters of fencing is required to enclose a field.
To learn more about the perimeter of a rectangle visit:
https://brainly.com/question/2142493.
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3 people share a sum of money in a ration of 3:5:7 If one recieves 10 more than the other, what is the amount shared
Answer:
We have the ration:
3:5:7
This means that, if they receive $15, then:
Person A will get $3
Person B will get $5
Person C will get $10
Let's then define the amount of money shared as:
Amount = K*$15
where we want to find the number K.
In this scenario, each they will get:
Person A : $3*K
Person B: $5*K
Person C: $7*K
Now, we know that one of them gets "10 more than the other"
(The problem here is that we do not know exactly who receives more than who, i will suppose that person B receives $10 more than person A)
then we can have:
$5*K = $10 + $3*K
solving this for K, we have:
$5*K - $3*K = $10
$2*K = $10
K = $10/$2 = 5
Then the amount shared, in this situation, is:
Amount = K*$15 = 5*$15 = $75.
When 4(k + 2) = 32 − 2k is solved, the result is:
Answer:
K=4
Step-by-step explanation:
4(K+2)=32-2k
4k+8=32-2k
+2k +2k
6k+8=32
-8 -8
6k=24
divide 6 from both sides
k=6
Answer:
k=4
Step-by-step explanation:
4(k+2)=32-2k
You would use distributive property with the 4 and the numbers in the parenthesis.
4k+8=32-2k
Next, you add 2k to both sides
6k+8=32
Then, you subtract 8 from each side
6k=24
Lastly, you divide by 6 on both sides
k=4
How many solutions does 5x-7=5x have
Answer:
[tex] \huge{ \boxed{ \bold{ \sf{no \: solution}}}}[/tex]
Step-by-step explanation:
☯ Question :How many solutions does 5x - 7 = 5x have ?☯ Step by step explanation[tex] \bold{ \sf{5x - 7 = 5x}}[/tex]Remember that the equal terms on both side should be cancelled.
[tex] \dashrightarrow{ \sf{ \cancel{5x} \: - 7 = \cancel{ 5x }}}[/tex]
[tex] \dashrightarrow{ \sf{ - 7 = 0}}[/tex]
The statement is false for any value of x. It cannot be further solved! So , 5x - 7 = -5x doesn't have any solution.
Hope I helped!
Have a wonderful time ! ツ
~TheAnimeGirl
Question
A spherical weather balloon is filled with helium. If the diameter of the balloon is 10
feet, how many cubic feet of helium does it hold?
294.4 ft3
523.3 ft3
4186.7 ft3
104.7 ft3
Answer:
523.3ft³
Step-by-step explanation:
Given
Diameter, D = 10ft
Required
Determine the volume of helium it can hold.
To solve this, we simply calculate the volume of a sphere, which is:
V = 4/3πr³
Where
r = ½D
r = ½ * 10ft
r = 5ft
Substitute 5 for r in the stated formula and take π as 3.14
V = 4/3 * 3.14 * 5³
V = 4/3 * 3.14 * 125
V = ⅓(4 * 3.14 * 125)
V = ⅓ * 1570
V = 523.3 ft³
Hence, the sphere can contain 523.3ft³ of helium
Choose one item to purchase. What is the greatest number of that item you can buy with a $10 bill and still receive change? How much change will you receive ? Explain.
Answer:
poster board
Step-by-step explanation:
2Conditions:
-greatest number of 1 item
-still receive change
If you go for the cheapest items like pencil or eraser you will pay with $10 for
$0.10* 100items= $10 yet no change
If you go for second most cheapest pen $0.25 you can by
if you buy 4 pencils and each with $0.25 you will pay $1
for $ 10 you can get 4*10 = 40 pencils yet no change
if you go for the third cheapest item is the poster board
$ 1.50*2= $3 so $1.50*6 =$9 and the change will be $10-9$ = $1
What is the measure of the largest angle in the
accompanying triangle?
(2X+1)
/(x+15)
х
1) 41
2) 46.5
3) 56
4) 83
Answer:
Number 4. 83
Answer:
83
Step-by-step explanation:
(2x+ 1 ) +(x+15)+x=180
4x+16=180
4x=164
x=41
Largest angle -2x+1
2(41)+1=83
A large shipment of light bulbs has just arrived at a store. It has been revealed that 17 % of the light bulbs are defective (the other light bulbs are good). Suppose that you choose 6 light bulbs at random. What is the probability that 2 or less of the bulbs are defective.?
Answer:
The required probability = 0.9345
Step-by-step explanation:
Given that:
p = 0.17
n = 6
The required probability that two or less light bulbs are defective = (P<2)
(P<2) = P(X=0) +P(X=1) +P(X=2)
[tex](P<2) =\bigg [ ({^6C_0}\times 0.17^0 \times (1-0.17)^{6-0})+ ({^6C_1}\times 0.17^1 \times (1-0.17)^{6-1}) +( {^6C_2}\times 0.17^2 \times (1-0.17)^{6-2}) \bigg ][/tex]
[tex](P<2) =\bigg [ \dfrac{6!}{0!(6-0)!}\times 0.17^0 \times (1-0.17)^{6})+ (\dfrac{6!}{1!(6-1)!} \times 0.17^1 \times (1-0.17)^{5}) +( \dfrac{6!}{2!(6-2)! }\times 0.17^2 \times (1-0.17)^{4}) \bigg ][/tex]
[tex]\mathbf{(P<2) = 0.9345}[/tex]
Jane has 6/7 of a yard of ribbon. She uses 3/4 of a yard to trim an ornament. how much ribbon is left?
Answer:
2/28
Step-by-step explanation:
What is the slope of the line
through (2, 10) and (-2, 17)?
Answer:
The answer is
[tex] \huge - \frac{7}{4} \\ [/tex]
Step-by-step explanation:
The slope of a line given two points can be found by using the formula
[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\ [/tex]
From the question we have
[tex]m = \frac{17 - 10}{ - 2 - 2} = \frac{7}{ - 4} = - \frac{7}{4} \\ [/tex]
We have the final answer as
[tex] - \frac{7}{4} \\ [/tex]
Hope this helps you
Harry wants a fence around his garden.
Height: 16.7m
Length: 16.3m
What is the perimeter of the whole garden?
Answer:
66m
Step-by-step explanation:
perimeter is the distance all round a figure
perimeter(p)= 2( length(l) + width(w)) or perimeter= 2 length + 2 width
p= 2(l + w) or p = 2l + 2w
p= 2(16.3 +16.7) or p= 2(16.3) + 2(16.7)
p=2(33) or p= 32.6 + 33.4
p=66m or p= 66m
Number 12 thank you ASAP
Answer:
0
Step-by-step explanation:
A slope of a straight, horizontal line is 0 as it is not going up or down.
Answer:
B) 0
Step-by-step explanation:
When it is a straight horizontal line the slope is 0, and when it is a straight vertical line the slope is undefined.
y= ___ is slope of 0
x= ___ is slope of undefined
4. Victoria fills a 15-gallon pool. She has a 2-liter
bucket she uses to fill the pool. If 1 gallon is
approximately 3.79 liters, what is the
maximum number of full buckets Victoria can
pour into the pool without it overflowing?
A. 56 buckets
B. 57 buckets
C. 28 buckets
D. 29 buckets
plz help me I dont want to fail
Answer:
ksjnfkjabfjkbfkjbdkjfbjdbjbdsjvbsdhbcjhdbvhsdjv
Step-by-step explanation:
sorry I really need points-
What is a proportional relationship?
Answer:
Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality
Step-by-step explanation:
find area of triangle formed by (1,1) (2,3) (4 ,5) using heron's formula
Answer:
The area of a triangle is:
A = 1 unit²Step-by-step explanation:
Given the points of a triangle
A(1, 1)
B(2, 3)
C(4, 5)
[tex]\mathrm{Compute\:the\:distance\:between\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]
Distance between AB:
[tex]AB=\sqrt{\left(2-1\right)^2+\left(3-1\right)^2}[/tex]
[tex]=\sqrt{1+4}[/tex]
[tex]=\sqrt{5}[/tex]
so
[tex]a=\sqrt{5}[/tex]Distance between BC:
[tex]BC=\sqrt{\left(4-2\right)^2+\left(5-3\right)^2}[/tex]
[tex]=\sqrt{2^2+2^2}[/tex]
[tex]=\sqrt{2^3}[/tex]
[tex]=2\sqrt{2}[/tex]
so
[tex]b=2\sqrt{2}[/tex]Distance between AC:
[tex]AC=\sqrt{\left(4-1\right)^2+\left(5-1\right)^2}[/tex]
[tex]=\sqrt{3^2+4^2}[/tex]
[tex]=\sqrt{5^2}[/tex]
[tex]=5[/tex]
so
[tex]c=5[/tex]Semiperimeter = sum of sides ÷ 2
[tex]s=\frac{\sqrt{5}+2\sqrt{2}+5}{2}=5.03224[/tex]
Area of the triangle:
[tex]A=\sqrt{s\left(s-a\right)\left(s-b\right)\left(s-c\right)}[/tex]
[tex]a=\sqrt{5}[/tex][tex]b=2\sqrt{2}[/tex][tex]c=5[/tex][tex]A=\sqrt{s\left(s-\sqrt{5}\right)\left(s-2\sqrt{2}\right)\left(s-5\right)}[/tex]
[tex]A=\sqrt{5.03224\dots \left(5.03224\dots -\sqrt{5}\right)\left(5.03224\dots -2\sqrt{2}\right)\left(5.03224\dots -5\right)}[/tex]
[tex]A=1[/tex]
Therefore, the area of a triangle is:
A = 1 unit²a triangle with lengths 12 in, 14 in, and 16 in, what type of triangle is that?
Answer:
scalene triangle
Picture:
(in attachment)
Find x. Round your answer to the nearest tenth of a degree.
18
12
х
Repost your question. Unclear as typed.
bro no balls youll give me 1$ on Paypal ill give you a whole 100 points :}
Answer:
How about you be nice and give it to us hardworkers for free?
Step-by-step explanation:
Are 12:14 and 60:70 equivalent ratios?
yes
no
Answer:
Yes, they are equalent
Step-by-step explanation:
12:14 = 6:7
60:70 =6:7
both can be simplified to 6:7
what does "and" mean in maths?
Answer:
and mean another questions
Answer:
add
Step-by-step explanation:
for example two and two makes
The mean of birth weights for individual babies in the population is 3,500 grams. What is the mean birth weight for the sampling distribution for samples of 100 babies?
Answer:
The mean birth weight for the sampling distribution is
3,500 grams.
Step-by-step explanation:
The sample mean is the average of the sample values collected divided by the number of the samples, while the population mean is the average or mean of all the values in the population. If the sample is random and the sample size is large enough, then the sample mean would be a good estimator of the population mean. This implies that with a randomly distributed and unbiased sample size, the sample mean and population mean will be equal, according to the central limit theorem. Therefore, the mean of the sample means will always approximate the population mean.
2/3x =36
Possible answers
+24
-24
+54
-54
Answer:
[tex]+54[/tex]
Step-by-step explanation:
To solve this, you will need inverse operations to isolate the x. Since x is multiplied by 2/3, you want to divide it by 2/3. Since we always have to do the same thing to both sides, we will also divide 36 by 2/3.
[tex]\frac{2}{3}x = 36\\\\$\scriptsize{\div2/3\;\; \div2/3}\\[/tex]
[tex]\frac{2}{3} x \; \div \; \frac{2}{3} = x[/tex]
([tex]\frac{2}{3}[/tex] cancels out)
[tex]\frac{36}{2/3} = 54[/tex]
[tex]x = 54[/tex]
~[tex]InLoveWithPugs[/tex]
[tex]Moderator\\Math\;Enthusiast[/tex]
what is 0 divided by 0 =
Answer: undefined
Step-by-step explanation: No value can be assigned to 0 to the power 0 without running into contradictions. Thus 0 to the power 0 is undefined :|
Solve x2 − 10x = −13.
A) 5 ± 2square root 3
B) 5 ± square root 38
C) 5 ± 2square root 2
D) 5 ± 3square root 2
Answer:
B
Step-by-step explanation:
First, let's rearrange the given equation into something more recognizable. If we add 13 to both sides, we now have the polynomial [tex]x^{2}-10x+13[/tex]. We can now use the quadratic formula to solve.
Remember that the quadratic formula is
[tex]\frac{-b+/-\sqrt{b^{2}-4ac } }{2a}[/tex]
Substitute the numbers from the equation into the formula.
[tex]\frac{-(-10)+/-\sqrt{(-10)^{2}-4(1)(13) } }{2(1)}[/tex]
Simplify:
[tex]\frac{10+/-\sqrt{100-52} }{2}[/tex]
[tex]\frac{10+/-\sqrt{48} }{2}[/tex]
Here, I'm going to assume that there was a mistype in option B because if we divide out the 2 we end up with [tex]5+/-\sqrt{48}[/tex].
Hope this helps!
1. Let f(1) = 722 – 5x + 3 and g(1) = 22² + 45 – 6.7x2-5x+3
Part A: Find f (x) + g(x)|
Part B: Find f (a) - g()
Part C: Find g(a) - f(x)
GICI
Answer:
The correct answer is B
Mark bought a fishing rod with an original price of $125.99. He has a 20% coupon that he plans to use. What will his discount amount be? Round your answer to the nearest cent (hundredths place) and include the $ sign How much will Mark pay for the fishing rod after the discount? Round your answer to the nearest cent (hundredths place) and include the $ sign
Answer:
$25.2
Step-by-step explanation:
Because 20% of $125.99 is 25.198 and if you round that number to the nearest cent you get 25.2.
Have a fantastic day!!!!!!!!!!!!!!
find the missing side lengths. leave ur answers as radicals
Answer:
m = 34 ; n = 17√3
Step-by-step explanation:
m = 17 × 2 = 34
n² = 34² - 17² = 867 = 17² × 3 ⇒ n = 17√3
What is |-14|?
A. -14
B. -7
C.7
D. 14
E. 1/14
Answer:
D) 14
Step-by-step explanation:
Absolute value |x| is defined as the distance x from 0.
Basically, whatever is in the absolute value sign cannot be negative
If the original quantity is 5 and the new quantity is 4, what is the percent decrease?
Answer:
try using percent decrease calculator
Step-by-step explanation:
maybe that'll help
Answer:
The answer is 20%
Step-by-step explanation:
5=100%
meaning if you decrease it by one each time it will look like this:
5=100%
4=80%
3=60%
2=40%
1=20%
so if it was decreased to four your answer is 20%
and you still have 80% remaining.
can u help me plz now
Answer:
1 1/5 miles per hour
Step-by-step explanation:
3/5 = 0.60
1/2= 0.5 hr
0.60 * 2 = 1.2
1.2 mph = 1 1/5