Answer:
Length = 45m
Breadth = 15m
Step-by-step explanation:
Dimensions of Rectangular field:
Let the breadth (B)=BC = x m
Length (L) = AB = 3x m
width of the road (w) = 5 m
Dimensions of inner rectangle:
length (l) = EF = L-2w
= 3x - 2×5
= (3x-10) m
breadth (b)=EH = B-2w
= (x-10) m
Given ,
Area of the path =500 m²
=> Area of ABCD - Area of EFGH = 500
=> L×B - l×b=500
=> (3x)× x - (3x-10)(x-10)=500
=> 3x²-(3x²-30x-10x+100)=500
=> 3x²-3x²+30x+10x-100=500
=> 40x=500+100
=> 40x = 600
=> x = 600/40
=> x = 15
Therefore,
Length (L) = 3x = 3×15 = 45m
Breadth (B) = x = 15m
Mark me as brainliest if it was helpful
What’s the name of the transformation???
The graph shows y = cot(x). Which of the following are true of its inverse? Check all that apply.
Zeros: None
Domain: All real numbers
Range: [0, π]
Minimum: 0
Maximum: None
Increasing intervals: The entirety of its domain
Answer:
Zeroes: None
Domain: All real numbers
Maximum: None
Step-by-step explanation:
EDGE PRECAL 2020
Answer:ZERO-none
Domain:all real numbers
Maximum:nun
Step-by-step explanation:
38
Is that a perfect square
Answer:
yea, its a perfect square
Step-by-step explanation:
√6 + √5
please help me answere this qustion in STEP - BY - STEP solution
Answer:
√6 + √5= 4.69
Step-by-step explanation:
First, simplify the radicals-
in this situation, we have nothing to simplify.
√6 = aprx 2.45
√5 = aprx 2.23
√6 + √5= 4.685
= aprx 4.69
the triathlon is raising money by charging entry fees. They collected $600 in entry fees. Each participant paid $10. How many people paid to participate in the event?
Answer:
60
Step-by-step explanation:
$600
each person paid $10
600/10
60
simplify the following
what is this one? please help
What is the difference between the two points (0,9) and (0,1)?
Answer:
0,1-0,9
-0,8
Step-by-step explanation:
Subtract the second point from the first point.
Please solve these I need them
Answer:
option a might be correct but I am not sure maybe you should consult a tutor because he or she may know better than me
Does the relation in the table represent direct variation, inverse variation, or neither? If it is direct or inverse variation, write an equation to represent the relation. Explain your answer.
Answer:
Indirect variation
Step-by-step explanation:
If two variables change in inverse proportion, then it is called indirect variation.
xy = k where k is a constant.
5*2 = 10
10*1 =10
[tex]15*\dfrac{2}{3}=5*2=10\\\\\\20*\dfrac{1}{2}=10[/tex]
So, this is indirect variation.
What equation is equivalent to 5(2p - 6)= 40
Turn y=1/2x + 3/2 into standard form
=============================================
Work Shown:
y = (1/2)x + 3/2
2y = x + 3 .... multiply every term by the LCD 2
2y-x = 3 ... subtract x from both sides
-x+2y = 3
x-2y = -3 ... multiply both sides by -1
The last step is done so that the x coefficient is positive
The equation is in the form Ax+By = C with
A = 1B = -2C = -3You could have your answer as -x+2y = 3, since that is also in standard form. But many math textbooks make A > 0.
For every 3 boys there is 5 girls. If there is 40 students in total. How many are boys?
Answer:
15
Step-by-step explanation:
Answer:
15 boys
Step-by-step explanation:
3+5=8
40/8=5
3X5=15
Please Help me Its a Math question!!!! Please
Answer:
The first one should be the answer. 90 degrees counterclockwise.
Answer:
See below.
Step-by-step explanation:
The answer would be 90 degrees counterclockwise. Think of a clock. The direction it usually goes is clockwise. The opposite direction is counterclockwise. So, this triangle rotated counterclockwise.
-hope it helps
Type the correct answer in the box. Spell the word correctly.
Which type of demand has been created?
When the mortgage rates get high, the housing market will collapse, as fewer people will take loans for buying houses because of higher interest rates, and this will result in a demand.
Answer:
Scarce demand / inflation
The word "scarce" means low on supplies or anything else.
Inflation is the term used when a price increases in the market.
These two terms together would best describe the higher demand.
Hope this helps, have a great day! ♥
Ben is traveling to Santa Cruz and needs a full tank of gas. A full tank of gas gives him a total of 260 miles until empty. So Ben goes to the gas station to fill up his tank but he only has $11.86. If $11.86 only gives Ben a total of 60 miles until empty, how much money does he need in all, to get a full tank of gas to drive to Santa Cruz? Round your answer to the nearest dollar. ?
260 miles / 60 miles = 4 1/3
He would need 4 1/3 more gas:
11.86 x 4 1/3 = 51.39
he would need $51.39
Are the lines y=0 and x=0 parallel?
Answer:
No, these equations are not parallel.
Step-by-step explanation:
The equation [tex]y=0[/tex] is a vertical line. This equation, in fact, is the y-axis.
The equation [tex]x=0[/tex] is a horizontal line. This equation, in fact, is the x-axis.
These lines are perpendicular, not parallel.
5% commission rate of 14.98 is what?
Answer:
$0.75
Step-by-step explanation:
To find the answer we simply multiply the amount of money earned by the percentage.
So the total amount of money = $14.98
And the percentage = 5%
But I order to calculate this we must first turn the percentage into a decimal. To do this we decide the number of the percentage by 100
In this case that is 5/100=0.05
We can now multiply this by the amount of money to get 0.05*14.98=0.749
We then round our answer to two decimal places (because money can not go past two) to get $0.75
A factory needs to produce 1,800 jars of peanut butter on a certain day.
They start production at 8:30 A.M. By 10:30 A.M., they have produced 600 jars of peanut butter.
At what time will they complete the total number of jars that they need to produce?
A. 12:30 P.M.
B. 1:30 P.M.
C. 2:30 P.M.
D. 3:30 P.M.
Answer:
I think the answer is D
I
Evaluate −4x+y when x=5/4 and y=1/5. Write your answer as a mixed number in simplest form.
Answer:
[tex]-4\frac{4}{5}[/tex]
Step-by-step explanation:
-4x + y
Plug in your values for x and y
-4 (5/4) + (1/5)
-20/4 + 1/5
-5 + 1/5
= - 4 4/5
Mom is getting food ready for my birthday party! including me, there will be 24 people at the party. Mom is baking cupcakes for us! She can bake 16 cupecakes per batch. How many batch should i tell Mom to make so we can each have 4 cupcakes
HELP PLS find measure of w in this trapezoid
Answer:
m<w= 36°
Step-by-step explanation:
Step 1) Applying geometric and algebraic knowledge, the two angles to the left are both 90, and equal to 180. If you add those two angles and the 146°, you will be given 326 in total.
90+90= 180 +146 = 326
Step 2) With knowledge that the sum of all interior angles inside of a quadrilateral add up to 360, subtract 326 from this.
360-326=36
Final product: m<w=36°
Which expression is equivalent to |18|+ |-7|?
Answer:
18+7
Step-by-step explanation:
What is the quotient. Of 25)9250
Answer:
370
Step-by-step explanation:
Isolate the numbers so that you are only dividing sections at a time.
So 25 goes in to 92 three times. so we multiply 25 by three and subtract that from 92. Put the three at the top and repeat throughout.
92-75=17
Bring the next number down and repeat.
Answer: 370 Remainder 0
Step-by-step explanation:
What one does not belong!!! Help
Answer:
the parallel lines
Step-by-step explanation:
the title is classifying angles... the parallel lines don't have an angle so I'm guessing it's the parallel lines
consider the graph of the function f(x) = 10^x
Step-by-step explanation:
I can't see the rest of answer choices so I can't say which is the answer. But the graph of g(x) is going to be shifted to the left 4 units
Individuals of the same approximate weight running 6 mph or 1 mile every ten minutes have a calorie use factor of 62% of their weight; i.E., calories burned = (weight)(0.62). If they run an 8-minute mile, the factor is 65%. A man weighs 180 lb. He jogs a mile in 8 minutes. How many calories has he used up?
Answer: He has used up 117 calories.
Step-by-step explanation:
Given, For 62% as factor, calories burned (E)= (weight)(0.62).
Also, if they run an 8-minute mile, the factor is 65%. [given]
Then, calories burned (E)= (weight)(0.65). [65%=0.65]
Weight of man = 180 lb
Then, calories burned (E)= 180 x (0.65).
= 117
Thus , he burned 117 calories.
So, he has used up 117 calories.
Please help if you can.
(a) Find the approximations T10 and M10 for 2 25e1/x dx. 1 (Round your answers to six decimal places.) T10 = M10 = (b) Estimate the errors in the approximations of part (a). (Round your answers to six decimal places.) |ET| ≤ 0.001667 Incorrect: Your answer is incorrect. |EM| ≤ (c) How large do we have to choose n so that the approximations Tn and Mn to the integral in part (a) are accurate to within 0.0001? n = for Tn n = for Mn
Answer:
A) T10 = 50.549391
M10 = 50.477547
B) ║ET10 ║= 0.169093
║EM10║= 0.084946
C)for ║ETN ║ N = 421
for ║EMN ║ N = 292
Step-by-step explanation:
A) F(x) = 25e[tex]^{\frac{1}{x} }[/tex]
where a = 1, b = 2 and bx = 1/10
attached below is the detailed solution
B) f'(x) = [tex]- \frac{25}{x^{2} } e^{\frac{1}{x} } ,[/tex] f"(x) = 25 [([tex](\frac{2x+1}{x^4} )e^{\frac{1}{x} }[/tex]
attached below is the detailed solution
what is the median of the data set {23 , 16 , 19 , 17 , 15 , 19 , 17 , 24 }
Answer:
7; 19; 24; 10; 17; 21; 6; 22; 5; 9
Arrange: 5; 5; 6; 7; 9; 10; 17; 19; 21; 22; 24
( 5+5+6+7+9+10+17+19+21+22+24 ) / 11
Mean = 145 / 11
Mean = 13,18
Mode = 5
(5 is the only value that appears most often)
Median = 10
Answer:
Step-by-step explanation: 119.5