a person runs around a square field of side 70m, while another person runs around a rectangular field with length 90m and breadth 60m. Who covers more distance by how much?
[tex]\huge\underbrace\red{Answer}[/tex]
Given :- Side of the square field = 70mLength of the rectangular field = 90mBreadth of the rectangular field = 60mTo Find :- Perimeter of the square fieldPerimeter of the rectangular fieldSolution :-Perimeter of the square = 4 × side
By substituting values,
⇒ 4 × 70m
➥ 280m
Hence, A Person runs 280m around a Square fieldPerimeter of the rectangle = 2( length + Breadth)
By substituting values,
⇒ 2( 90m + 60m )
⇒ 2( 150m)
➥ 300m
Hence, A Person runs 300m around a rectangular fieldDifference between perimeters of fields = Perimeter of Rectangular field - perimeter of square field
By substituting values,
⇒ 300m - 280m
➠ 20m
Hence, The person runs more around a rectangular field by 20m-4 (4x + 12)= -2(8x+24)
the weight of a person of average build varies directly with the cube of that person's height. use a person 6 feet tall who weight's 200 pounds to find the equation of variation
Answer:
24356475869708-9
Step-by-step explanation:
i-3= 47
help me plz
The stage manager of a school musical is trying to figure out how many sandwiches he can order with the $83 he collected from the cast and crew. Sandwiches cost $5.99 each, so he lets x represent the number of sandwiches he will order and writes 5.99x < 83. He solves this to two decimal places and gets x < 13.86.
Which of these are valid statements about this situation? Select all that apply.
1) He can call the sandwich shop and order exactly 13.86 sandwiches.
2) He can round up and order 14 sandwiches.
3) He can order 12 sandwiches.
4) He can order 9.5 sandwiches.
5) He can order 2 sandwiches.
6) He can order -4 sandwiches.
Justify your answer(s).
Answer:
Step-by-step explanation:
1) it is not this answer because you cant order 13.86 sandwiches. it has to be a whole number.
2) Not this answer. If he bought 14 sandwhichs hed have to pay 83.86 and he doesnt have 36 cents xtra.
3) He CAN order 12 sandwhiches. if he has $83 and if you bought twelve sandwiches he would spend $71.88 which is still within the range he can buy from.
4) He CANNOT order .5 of a sandwhich so i wouldnt select this one.
5) He CAN order 2 sandwhiches. he has enough money for that
6) he CANNOT order negative amount of sandwhiches.
If it costs $1.40 per square foot to install the garden, what is the cost for plan A? Plan B?
Answer:
Step-by-step explanation:
I NEED HELP PLEASE
Find the value of m divided 9 when m=72
Answer:
8
Step-by-step explanation:
72/9 = 8
like wise
8 times 9 is 72
who ever helps gets brainliest.
Answer:
B is the answer
Step-by-step explanation:
0.40 is the correct answer
Are the two figures similar? If so, give the similarity ratio of the smaller figure to the larger figure.
Answer:
yes 1:2
Step-by-step explanation:
Set up the ratio
Cylinder(1) = 6.4:3.2
Cylinder(2) = 4:2
Is 6.4/3.2 = 4/2?
12.8 = 12.8!
So yes.
The magnitude and direction of two vectors are shown in the diagram. What is the magnitude of their
sum?
2
135°
45°
6
20
The sum of magnitude of two vectors is 2√5.
What is Vector?A vector is a number or phenomena with two distinct properties: magnitude and direction. The term can also refer to a quantity's mathematical or geometrical representation. In nature, vectors include velocity, momentum, force, electromagnetic fields, and weight.
We have,
the magnitude of two vectors are 4 and 2.
and, The direction of two vectors are 45° and 135°.
According to vector addition,
The angle between both the vectors = 135 - 45 = 90
and, Sum of Vector
= √4² + 2²
= √16 + 4
= √20
Thus, the sum of magnitude of two vectors is 2√5.
Learn more about Vector here:
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Confession: I suck at math lol......
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Answer:
16
Step-by-step explanation:
the answer is 16 Because 2 gallons is 16
Answer:
16 pts in 2 gallons
Step-by-step explanation:
There a 8 pints in 1 gallon, so in two gallons there would be 16 pts.
simplify
[tex] \sqrt{324} [/tex]
A. 16
B. 17
C. 18
D. 19
Answer: C) 18
Step-by-step explanation:
Your problem → Simplify square root of 324
First find factors of 324
2 324
2 162
3 81
3 27
3 9
3 3
1
324=2×2×3×3×3×3
324 = 2^2 × 3^4
Taking squareroot
∴√324=√2^2 × 3^4
=2 × 3^2
=18
∴ 324 is a perfect square
Find the value of x. Then find the measure of each labeled angle.
The length of a rectangle is eight more than twice its width. The perminiter is 96 feet . find the deminsions. With the variable, equation, and solution.
Step-by-step explanation:
lenght = x + 8
width = x
[tex]perimeter = 2(x + 8) + 2(x) \\ 96= 2x + 16 + 2x \\ 4x = 96 - 16 \\ x = \frac{80}{4} \\ x = 20[/tex]
then
Lenght = x + 8 = 20 + 8 = 28
Width = x = 20
Step-by-step explanation:
L=8+2W
P=2L+2W
P=2(8+2W)+2W
P=16+4W+2W
P=16+6W
P=96
96=16-6W
80=6W
W=13.3333
determine the scale factor of the dilation, if OA = 8 and OA' = 32
Answer:
The scale factor is 4
Step-by-step explanation:
32(end product) divided by 8(original) = 4
Answer:
scale factor = 4
Step-by-step explanation:
The scale factor is the ratio of corresponding sides, image to original, that is
scale factor = [tex]\frac{OA'}{OA}[/tex] = [tex]\frac{32}{8}[/tex] = 4
Find the inequality by the graph
Answer:
y > 1/3 x -3
Step-by-step explanation:
slope = 1/3
y intercept = -3
equation: y > 1/3 x -3
39) Solve the inequality: 4(x+5)≤116
A. x≤−51
B. x≤−40
C. x≤24
D. x≥24
Answer:
x≤24
Step-by-step explanation:
4(x+5)≤116
x+5≤29
x≤29-5
x≤24
Simplify: 5!
A. 5
B. 20
C. 120
D. 240
Answer:
it would be 5
Step-by-step explanation:
I don't have an explanation I just know it is 5
What value of P makes the equation true?
2.5 + 0.15p = 0.4p
p = ___
Step-by-step explanation:
2.5 + 0.15p = 0.4p
0.25p = 2.5 (subtract 0.15p on both sides)
p = 10 (multiply 4 on both sides)
Answer:
[tex]2.5 + 0.15p = 0.4p \\ 2.5 = 0.25p \\ p = \frac{2.5}{0.25} \\ \boxed{p = 10}[/tex]
10 is the right answer.
A dig-your-own potato farm charges $1.27 per pound of potatoes plus $0.20 per pound to clean the potatoes. Kevin digs 30 pounds of potatoes. The farm cleans 8 pounds for him. How much does Kevin pay in all?
The inverse of F(x) is a function.
Answer:
Step-by-step explanation:
the word inverse refers to the opposite of another operation.
The inverse of the function f is denoted by f -1.
If you found my answer useful then mark me brainliest.
Eli burned 1449 calories running a half marathon. If he finished in 2 hours and 6 minutes.ow many calories did he burn per minute
A card is chosen at random from a standard deck of cards. What is the probability that the card chosen is a heart or spade? Are these events mutually exclusive?
Answer:
a. Probability is 50%
b. Picking either a heart or spade is mutually exclusive
Step-by-step explanation:
There are 52 cards in a deck of cards.
Of those 52, 13 are hearts and 13 are spades.
The probability of picking wither of them is therefore:
= (13 + 13) / 52
= 26/52
= 50%
Mutually exclusive events are those that cannot occur at the same time. You can either pick a heart or you can pick a spade. You cannot pick both at the same time so these are mutually exclusive.
What is the value of x?
O 100°
140°
O 120°
O 130°
O 150°
56°
34°
Mark this and retum
Save and Exit
Next
Submit
Answer:
ans will option 130 degree
The value of x in the given figure is 130 degrees.
What is the value of x?The first step is to determine the value of all of the angles in the quadrilateral.
First angle = 180 - 140 = 40 Second angle = 180 - 34 = 146Third angle = 180 - 56 = 124Fourth angle = 360 - (40 + 146 + 124) = 50Angle x = 180 - 50 = 130
To learn more about quadrilaterals, please check: https://brainly.com/question/16595449
Help me I'm too tired to think and this is easy.
At midnight the temperature is -6 C. At midday the temperature is 9 C. By how much did the temperature rise?
I'm so tired.
15
9 - (-6)
I hope you get a good night rest btw!
Answer:
The temperature rose by 15 °C.
Step-by-step explanation:
At midnight:
Temperature = -6 °C
At Midday:
Temperature = 9 °C
Temperature Rise:
= -6 - 9
= -15 (Ignore the negative sign)
So, The temperature rose by 15 °C.
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Someone help me quick
Answer: x > - 18
Step-by-step explanation:
One side of a triangle is 3 times the second side. The third side is 17 feet longer than the second side. The perimeter of a
triangle is 52 feet. Find the length of each side.
Provide your answer below:
Answer:
Step-by-step explanation:
lets have one side =a
P=3a+a+(17+a)=52
P=5a+17=52
5a=52-17
5a=35
a=7
second side=21
third side=24
the following figures are similar, find the value of x
Answer:
x=143
Step-by-step explanation:
scale factor (if that is the correct term) is 13. you find that by matching sides to side. this means that 91/7=13, therefore you know that 4*13 is 52 and 11*13 is 143
In the figure below, what are the lengths of “a”, “b”, and “c”? Round answers to nearest tenth.
Answer:
use a ruler to answer the question
A state's Department of Education reports that 12% of the high school students in that state attend private high schools. The State University wonders if the percentage is the same in their applicant pool. Admissions officers plan to check a random sample of the over 10,000 applications on file to estimate the percentage of students applying for admission who attend private schools.
a) They select a random sample of 500 applications, and find that 46 of those students attend private schools. Check the conditions required for inference. (3 marks)
b) Create the 90% confidence interval. (6 marks)
c) Interpret the confidence interval in the context of the problem. (3 marks)
d) Should the admissions officers conclude that the percentage of private school students in their applicant pool is lower than the statewide enrollment rate of 12%? Explain. (2 marks)
Answer:
a) p*n = 46 and q*n = 454 data is enough for inference
b) CI = ( 0,099 ; 0,141)
c) CI we will find with 90% of confidence the value of p in that interval
d) No, we accept H₀ we don´t have evidence to claim that the percentage in the State University is smaller than that of the Department of Education
Step-by-step explanation:
Information from A state´s Department of Education is:
p₀ = 12 % p₀ = 0,12
The State University sample:
Sample size n = 500
Sample proportion 46 out of 500
p = 46/500 p = 0,092 then q = 1- p q = 1 - 0,092 q = 0,908
Both p*n = 46 and q*n = 454
a) Are big enough to approximate the binomial distribution to normal distribution
b) CI = 90% CI = 0,9 significance level α = 0,10 for an CI we need
α/2 = 0,10/2 α/2 = 0,05
z(c) = - 1,64 ( from z-table)
MOE = z(c)*√(p*q)/n
MOE = 1,64 * √ ( 0,092*0,908)/500
MOE = 1,64 *√0,08353/500
MOE = 1,64 * 0,0129
MOE = 0,021
Then CI = 90 % is:
CI = ( 0,12 - 0,021 < P < 0,12 + 0,021 )
CI = ( 0,099 ; 0,141)
We have with 90 % of confidence for finding the value of p in the interval
Test Hypothesis
Null Hypothesis H₀ p = p₀
Alternative Hypothesis Hₐ p < p₀
we have for α = 0,1 z(c) = - 2,32 from z table
And z(s) = ( p - p₀ ) / √ (p*q)/n
z(s) = ( 0,092 - 0,12 ) / √(0,092*0,908)/500
z(s) = - 0,028 / 0,0129
z(s) = - 2,17
Comparing z(s) and z(c) we see that
|z(s)| < |z(c)|
So z(s) is in the acceptance region. We can support the claim that the percentage in the State University is the same than that of the Departament of Education
so I really need help. you have to set fractions equal to each other and try and find out how many prefer sweaters and whatnot. Also, the answer isn't supposed to be a fraction, it's supposed to be a whole number, you find the answer by using fractions with the information provided in the word problem above ^
I hope that makes sense. lol, thank you :)
Answer:
84
Step-by-step explanation:
52%of math problem are pointless
52%of math problem = pointless
52% of 175
(52/100)×175
91 =pointless
math problem - pointless =not pointless
175 - 91 = 84
