Step-by-step explanation:
☄ [tex] \underline {\underline{ \text{Given}}} : [/tex]
Length of a park ( l ) = 55 mBreadth of a park ( b ) = 35 mWidth running outside the park ( d ) = 2.5 mRate of paving the path with stones = Rs 120 per sq.metre☄ [tex] \underline{ \underline{ \text{To \: find}}}: [/tex]
Area of the parkCosy of paving the path with stones at Rs 130 per sq.metre☄ [tex] \underline{ \underline{ \text{Solution}}} : [/tex]
Part 1 : [tex] \boxed{\text{Area \:of \:a \:path \: running \:outside = 2d(l + b + 2d)}}[/tex]
plug the known values and simplify :
⟹ [tex] \sf{2 \times 2.5(55 + 35 + 2 \times 2.5)}[/tex]
⟹ [tex] \sf{5 \times 95}[/tex]
⟹ [tex] \sf{475 \: {m}^{2} }[/tex]
Part 2 : [tex] \boxed{ \sf{Total \: cost = Area \: of \: paths \: \times Rate}}[/tex]
⟹ [tex] \sf{475 \times 120}[/tex]
⟹[tex] \sf{Rs \: 57000}[/tex]
[tex] \purple{ \boxed{ \boxed{ \sf{ \tt{⟿ \: Our \: final \: answer : (i) = 475 \: {m}^{2} \: and \: (ii ) = Rs \: 57000}}}}}[/tex]
Hope I helped ! ♡
Have a wonderful day /night ツ
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
Heelp 2 easy question Math
9514 1404 393
Answer:
x = 3
Step-by-step explanation:
Expand the left side and solve the resulting 2-step linear equation.
x^2 -(4 -4x +x^2) = 8
x^2 -4 +4x -x^2 = 8 . . . . . eliminate parentheses
-4 +4x = 8 . . . . . . . . . . . . . collect terms
-1 +x = 2 . . . . . . divide by 4
x = 3 . . . . . . . . . add 1
The probability that Brian wins a raffle is given by the expression n n + 2 . Write down an expression, in the form of a combined single fraction, for the probability that Brian does not win.
Answer:
[tex]\frac{2}{n+2}[/tex]
Step-by-step explanation:
Given
Let the total probability be 1
Probability that Brian wins a raffle = n/n+2
Probability that Brian does not win a raffle = 1 - Probability that Brian wins a raffle
Probability that Brian does not win a raffle = 1 - (n/n+2)
Probability that Brian does not win a raffle = [tex]\frac{n+2-n}{n+2}[/tex]
Probability that Brian does not win a raffle = [tex]\frac{2}{n+2}[/tex]
Hence required fraction is [tex]\frac{2}{n+2}[/tex]
What is the slope to this graph?
a new energy drink advertise 182 calories for 6 ounces how many calories are in 21 ounces of the drink? There are ____ calories in the 21 ounce drink
Answer:
636.9 calories = 21 ounces
Step-by-step explanation:
182 calories= 6 ounces
30.3 calories= 1 ounces
636.9 calories= 21 ounces
Help please will mark brainliest answer
Answer:
47 degrees
Step-by-step explanation:
Answer:
B. 47 degrees
Step-by-step explanation:
/_wxy = 56
/_xyw = 68
/_xwy = 180 - (56 + 68) = 56
[interior angles of a triangle =180]
/_wzv = 77
/_vwz = 56
[/_xwy = /_ vwz]
/_zvw = 180 - (77 + 56) = 47
Mrs. Rouse has three times as many gladiolus as Mrs. Leal together they have 128 gladiolus write the system of equations for this situation ?
Helppp timeee!!! Plsss
Answers:
Problem A: 26.34
Problem B: 90.537
Problem C: 309.02
Problem D: 170.084
v*2 = u*2+ 2as
y = 35.2 correct to 1 decimal place
a = 9.8 correct to 1 decimal place
s = 60.35 correct to 2 decimal places
Work out the upper bound for u.
Give your answer to 3 significant figures.
Answer:
212m/s
Step-by-step explanation:
change of subject formula v²=u²+2as
step 1: u²=√v/2as
=v/as
using the figures to adentify the letters
v=35.2
a=9.8
s=60.35
35.2/9.8x60.35
=2124.32
in three (3)significant figures
212 unit m/s
Select the correct answer. y - 6 = 4( x - 4) Which of the following shows a graph of the equation above?
Answer:
One of the points will be at (0,-10)
One of the points will be at (5/2,0)
The slope is 4
Step-by-step explanation:
Just look at a graph that has the points close to the ones at the top. Good luck, and have a nice day.
someone help me please and thank you
evaluate 7p+6(p/q)2 q if p = 6 and q = 3. show your work and give an explanation for each step .
Answer:
63 is the required value.
Step-by-step explanation:
We need to find the value if p = 6 and q = 3 in the below expression i.e.
[tex]7p+6(\dfrac{p}{q})^2-q[/tex]
Put p = 6 and q = 3 in the above expression.
[tex]=7(6)+6(\dfrac{6}{3})^2-3\\\\=42+6(2)^2-3\\\\=42+24-3\\\\=63[/tex]
So, the value of the given expression is 63.
The sides of a triangle are 8 cm, 11 cm and 13 cm. What is its area?
Step-by-step explanation:
Area of triangle = 1/2 (L*h)
Two triangles are similar. The smaller triangle has side lengths 10, 20, and 15 units. The larger triangle's longest side is 52 units. What is the perimeter of the larger triangle?
Answer:
117 units
Step-by-step explanation:
if you use the ratio of the two longest sides then you can find all side lengths
[tex]\frac{52}{20}[/tex] = [tex]\frac{x}{10}[/tex]; x = half of 52, or 26
[tex]\frac{52}{20}[/tex] = [tex]\frac{x}{15}[/tex]; 20x = 52 · 15
20x = 780
x = 39
add to get perimeter: 52 + 26 + 39 = 117 units
Perimeter of the larger triangle is 117 units
Given
Two triangles are similar. The smaller triangle has side lengths 10, 20, and 15 units.
When the triangles are similar then the sides are in proportion
the longest side of the smaller triangle is 20 units
The larger triangle's longest side is 52 units.
Lets find out the unknown sides of largest triangle
Let x and y be the unknown sides . Make a proportion and solve for x and y
[tex]\frac{52}{20}=\frac{x}{10} \\x=\frac{52}{20} \codt 10\\x=26\\\\\\\frac{52}{20}=\frac{y}{15}\\y=\frac{52}{20} \codt 15\\y=39[/tex]
The unknown sides of largest triangle is 26 and 39 units
To find out the perimeter add all the sides of largest triangle
Perimeter =[tex]26+39+52=117[/tex]
Perimeter of the larger triangle is 117 units
Learn more :brainly.com/question/20602973
1. What is the sum of the measures of the interior angles of a 27-gon? (1 point)
Answer:
4500
Step-by-step explanation:
The formula is (n-2) * 180 where n is the number of sides
25 * 180
4500
I hope this helped, please give brainliest if this is correct! Thank you!
Nadia thinks of a number.
She finds the square root and then divides by 5.
Her answer is 20.
What number is she thinking of?
let the num be a
/a÷5=20
/a=20×5
/a =100
square root of 100 is 10
so the number is 10
The number that she have to think of should be considered as the 10 when her answer is 20.
Calculation of the number:Since here we assume the number be a
And, now she have to determine the square root and then divide it by 5
So, it can be like
[tex]a\div 5=20\\\\a=20\times 5[/tex]
a =100
Now the square root of 100 should be 10
hence, a = 10
Therefore, The number that she have to think of should be considered as the 10 when her answer is 20.
Learn more about number here: https://brainly.com/question/24309536
A 14-meter ladder leans against a building forming a 30° angle with the building. Exactly how
high is the ladder on the building in meters? Round to the nearest hundredth (2 digits after the
decimal).
Answer: 12.12 m
Step-by-step explanation:
Given
length of ladder L=14 m
the ladder makes an angle of [tex]\theta=30^{\circ}[/tex] with the building
With the help of a diagram, we can write
[tex]\cos \theta=\frac{\text{h}}{\text{L}}[/tex]
[tex]\cos 30^{\circ}=\frac{h}{14}[/tex]
[tex]h=14\cos 30^{\circ}[/tex]
[tex]h=12.12\ m[/tex]
-4y+6=-3y+12 help pls
Step-by-step explanation:
because
6-12=-3y+4y
y=-6
7. Judy and Steve collect baseball cards. Judy has six less than twice the
number of cards Steve has. If n represents the number of baseball cards
Steve has, which expression represents the number of baseball cards
Judy has?
A 2(n-6)
B. 6 - 2n
c. 2n - 6
D. 6(2) -n
Answer:
c. 2n-6
Step-by-step explanation:
6 less than 2xSteve so 2n-6
which is the best estimate for the percent equivalent to 3/8
Answer:
D. 38%
Step-by-step explanation:
3/8 as a percentage is 37.5% and that is rounded to 38%! :) 37% is close but it is not rounded making it not the best estimate, therefore it is not correct.
Answer:
you are correct
Step-by-step explanation:
Solve the inequality and graph the solution on the line provided.
-7x + 8< -6
Answer:
Step-by-step explanation:
Here you go mate
Step 1
-7x+8<-6 Equation/Question
Step 2
-7x+8<-6 Simplify
-7x+8<-6
Step 3
-7x+8<-6 Subtract 8
-7x<-14
Step 4
-7x<-14 Divide sides by -7
answer
x>2
Hope this helps
Directions: Answeł the following qu
What is the value of this expression?
2 + 4 x 4 - 12
242
Answer:
242
Step-by-step explanation:
a)2+4×4-12
=2+16-12
=18-12
=6
Answer:
16
Step-by-step explanation:
You would need to use PEMDAS (parentheses, exponents, multiplication, division, Addition, Subtraction). 4x4=16 (2+16-12) 16+2=18 (18-12) =16. Hope this helps.
HELLLLPPPPPP I NEED THIS DONE IN 10 MINUTES ILL MARK BRAINLIEST FOLKS
Answer:
X and y both equal 94 degrees
Step-by-step explanation:
Suplimentary angles equal 180 degrees so therefore a straight line equals 180 degree and 86 of those degrees are taken up so 180-86=94 and x and y are both the same angles so therefore x and y both equal 94 degrees
waht is x-500=7 is x equals to 240
Given that f(x) = 3x – 2
and g(x) = 2x,
evaluate f(g(-1))
254356547654566556688754678
Please help, giving all my points. Geometry
Answer:
Q7. 240Q8. 25°Q9. 70°Step-by-step explanation:
Q7.The shortest sides are corresponding in similar triangles
One has side length of 5, another one is 20
Scale factor is:
20/5 = 4Since perimeter is sum of 3 sides and each side has 4 times difference, the perimeter will have 4 times the difference. So it is:
60*4 = 240Q8.Dilation doesn't affect angle measures. A and W are corresponding angles and they measure the same.
m∡A = m∡Wx + 20 = 5x5x - x = 204x = 20x = 5m∡W = 5x = 5*5 = 25°
Q9.Dilation doesn't affect angle measures. B and M are corresponding angles and they measure the same.
m∡B = m∡M2x + 30 = 3x + 103x - 20 = 30 - 10x = 20m∡B = 2x + 30 = 2*20 + 30 = 70°
help pleaseeeeeeeeeeeeeeeeeeeeeee
hurry
Answer:
4/11
Step-by-step explanation:
Brainiest ?
Please help! I am so confused on this, I've probably been stuck on it for at least an hour.
9514 1404 393
Answer:
see attached for the drawing
slope = -1/2
Step-by-step explanation:
For the rise of -1 and the run of 2, the slope is ...
m = rise/run = -1/2 . . . . slope in simplest form
__
Additional comments
It usually works best if you can identify points on the graph where the line crosses grid intersections. Then the number of squares in each direction can be counted easily. If you work with two grid intersections that are closest together, then the ratio of rise to run will already be in reduced form.
On this graph, there are other grid crossing points that are 4, 6, 8 units to the right or left of the one where we started. You need to remember that "run" is positive in the "right" direction, and "rise" is positive in the "up" direction.
We have shown the "rise" and "run" lines above the graphed line. They can also be shown below the graphed line.
Here, the grid squares are 1 unit in each direction. You need to pay attention to the scale, because some graphs have different numbering vertically than horizontally. The values for "rise" and "run" need to be figured using the appropriate scale.
does anyone know the answers to 1 and 2?? there’s only 2 options and you can see them on each question
Answer:
1. 5
2. 5
Step-by-step explanation:
The lowest temperature on Mars can reach - 140 degrees Celsius while the highest temperature can be 20 degrees Celsius. and use it to calculate the difference between the highest and the lowest temperature on Mars
Answer:
120
Step-by-step explanation:
-140 + 20 = 120
From a point on a cliff 75 feet above water level, an observer can see a shipThe angle of depression to the ship is d^ How far is the ship from the base of the to the nearest foot?
Answer:
52feet
Step-by-step explanation:
The set up will be a right angle
Let the angle of depression be 30°
The height above the sea level will be the opposite
The distance of the ship from the base is x (adjacent)
Using TOA
Tan theta = opposite/adjacent
Tan 30 = 30/x
x = 30/tan 30
x = 30/0.5774
x = 51.96
x ≈ 52 feet to the nearest foot