Answer:
1800 m²
Step-by-step explanation:
Since the cost of constructing the path at rs 40 per sq m is rs 13760, if A is the area of the path then we have
rate × area = cost
area = cost/rate = 13760/40 = 344 m²
Now, let L = length of rectangular field and B = breadth of rectangular field. So, its area is A'= LB. Given that L = 2B, A' = 2B × B = 2B².
Also, since the width of the path is 2 m, the inner field has dimensions L - 2 - 2 = L - 4 as length and B - 2 - 2 = B - 4 as breadth since we subtract 2 m from both ends of the each dimension.
So, the inner area is (L - 4)(B - 4) = (2B - 4)(B - 4) = 2B² - 8B - 4B + 16 = 2B² - 12B + 16.
The area of the rectangular field is thus the inner area plus the area of the uniform path
So, 2B² - 12B + 16 + 344
We equate this the the area of the rectangular field. So,
2B² - 12B + 16 + 344 = 2B²
- 12B + 16 + 344 = 2B² - 2B²
- 12B + 360 = 0
- 12B = -360
B = -360/-12
B = 30 m
Since the area of the field A' = 2B²,
A' = 2(30 m)²
= 2(900 m²)
= 1800 m²
please help me asap i’ll give you a thanks and 10 points
Janet had 42 marbles. ⅚ of them were blue. The rest were red. How many marbles were blue?
Answer:
35 marbles were blue
Step-by-step explanation:
42/6 = 7
7 x 5 = 35
The sum of three consecutive integers is 9. What is the equation that represents the scenario?
a.n + (n + 1) + (n + 2) = 9
b.n – (n + 1) – (n + 2) = 9
c.n + (n – 1) + (n – 2) = 9
d.n=9
Answer:
a is correct ................
Solve for x. Round your answer to the nearest tenth
Answer:
6.1
Step-by-step explanation:
tan 27° = x/12
x = 12 · tan 27°
x = 6.1
Sam has 1 3/4 quarts of orange juice.
He is pouring it into glasses that
each hold 1/4 quart. How many glasses can he fill?
glasses can he fill?
For school lunch students have 3 meat choices (beef, chicken, or fish), 2 potato choices (mashed or fried), and 3 drink choices (milk, juice, or water).
How many different combinations could students create using one meat, one potato, and one drink?
- 8
- 9
- 11
- 15
- 18
Answer:
18
Step-by-step explanation:
[tex]3 \times 2 \times 3[/tex]
That will give you 18 which is the answer
please please help! :)
Answer:
assuming the shape is a square
1. 90 degrees
2. 45 degrees
3. 45 degrees
4. 90 degrees
Step-by-step explanation:
maths and angles
i need help with this question
(2^3//4^2)^5 What is the equivelant expression?
Answer:
A
Step-by-step explanation:
This is the same as ((2^3)/(4^2))*((2^3)/(4^2))*((2^3)/(4^2))*((2^3)/(4^2))*((2^3)/(4^2)) which is equal to (2^(3+3+3+3+3)/4^(2+2+2+2+2)), so its (2^15/4^10)
Answer:
You could say 10/15-12/15.
Step-by-step explanation:
Please help me and show work.
Answer:
80.5π cm
Step-by-step explanation:
We want to find the area where the label should go onto the can. If we were to take the label and flatten it onto a 2D surface, we would multiply 11.5 cm by the width, which is equivalent to the circumference of the circle. The circumference of the circle can be calculated using the equation 2πr. The radius is 3.5 cm, so the circumference of the circle is 7π. We multiply 7π by 11.5 to get 80.5π cm.
what is the value of x? i need the work for it as well thank you so much!
Answer:
x=19
Step-by-step explanation:
okay so all those angles there are pretty simple. because of the vertical angles theorem, the angles that go across from each other are equal to each other. On a thing like this those intersections are congruent. So knowing this we can assume that (6x+4)=118. so if you solve the basic algebra for that (you can use mathpapa or smt if you really need the work for that) then it comes out as x=19 which you can check.
6x+4=118
subtract 4 from both sides
6x=114
divide by 6 on both sides
x=19
Hope this helps!
If I multiply the number by 4 and then subtract 1, I get the same answer and then add 9
*The number is x
Write it as an equation.
Answer:
12 .
Step-by-step explanation:
12
helppp I’m not good with this stuff lol
Answer:
that is you my question is wrong for me
PLEASE HELP!!!!!!! NEED THIS ASAP
Answer:
174
Step-by-step explanation:
72+72+10+20+ 174
3. Lizbeth has a lunch box in the shape of a rectangular prism that
measures 11.5 inches in length and 7.2 inches in width. If the lunch box is 4
inches tall, calculate its volume in cubic inches.
Answer:
do 11.5x7.2 that will get you your answer then after that when you get that answer you will divide that by 4
Step-by-step explanation:
Help me, please!!!!!!!!!
Answer:
x ≈ 17.32, y = 20
Step-by-step explanation:
sin (30°) = 10/y
=> y = 10/sin (30°)
=> y = 20
x = [tex]\sqrt{20^{2} - 10^{2}}[/tex]
=> x ≈ 17.32
A truck bed has a volume of 120 cubic feet. The bed is 4 feet wide and has a height of
3 feet. What is the length of the bed?
Answer:
1440
Step-by-step explanation:
you have to do length x width x height
What is the percent of each? Please help!!
Answer:
1 Cards = 36%
2 Cards = 28%
3 Cards = 24%
4 Cards = 12.5%
Step-by-step explanation:
Find the height of a cylinder when the surface area is 1004.80 cm squared and the radius is 10 cm.
Step-by-step explanation:
[tex]volume =\pi {r}^{2}h[/tex]
[tex]area = \pi {r}^{2} [/tex]
CALCULATIONremember
[tex]\pi = 22 \div 7[/tex]
So, we will just place the area and equate it to the unknown volume including the height
1004.80 = 22/7 × 10× 10 × h
1004.80 = 314.26h
h = 3.197
Our club has 10 members, and we need to appoint a president, a vice president, and a secretary. How many ways can we do this if: Each member can hold at most one office. Members can hole any number of offices
Answer: 720
Step-by-step explanation:
Given
A club has 10 members and needs one president, a vice president, and a secretary
There are 10 positions for president i.e. 10 ways to select a member for it
Similarly, there 9 persons left to choose a position for vice president
likewise 8 persons for secretary
Total no of ways to do it are
[tex]\Rightarrow 10\times 9\times 8\\\Rightarrow 720\ \text{ways}[/tex]
can someone help me??
Answer:
8) 10 15/16 ft³
9) 20 5/6 ft³
Step-by-step explanation:
Volume of a rectangular prism is
l * b * h,
Question 8
We're given the area
Area = l * b
So we substitute the area for length and breadth.
Volume = Area * height
Volume = 4 3/8 * 2 1/2
Volume = 35/8 * 5/2
Volume = 175/16
Volume = 10 15/16 ft³
Question 9
Volume = 5 * 1 2/3 * 2 1/2
Volume = 5 * 5/3 * 5/2
Volume = 5 * 25/6
Volume = 125/6
Volume = 20 5/6 ft³
What is the value of the expression 4(80+ b) - 12, where b=20?
Α. 328
Β. 352
C. 388
D. 412
Answer:
B. C which is the answer.
Answer:
Step-by-step explanation:
c=388
PLEASE HELP ME WITH THIS ALGEBRA PROBLEM!!
Answer:
Solution given.
centre (h,k):(-6,1)
radius (r)=2
we have
equation of a circle is:
(x-h)²+(y-k)²=r²
(x+6)²+(y-1)²=2²
(x+6)²+(y-1)²=4 is a required equation of a circle.
1. Bill wants to buy coffee for his class at the LePhooPhoo Coffee Shop. He needs to buy 30 cups of coffee. The large coffees cost $4 and the medium coffees cost $3. If he spends $102 on coffee, how many of each size coffee did he buy?
Answer:
large = 12
medium = 18
Step-by-step explanation:
L + M = 30 => L = 30-M
4L+3M =102
substitute : L with M
=> 4(30-M)+3M =102
120-4M+3M = 102
- M = 102-120
-M = -18
=========> M = 18, L = 12
-------------------------
Answer:
1 < x < 12
Step-by-step explanation:
The triangles satisfy the Converse Hi nge Theorem Condition the two triangles have two corresponding equal sides. Thus, the included angle of the triangle that has the largest length of the third side is greater than the included angle of the other triangle with a lesser third side length.
Thus,
33 > 3x - 3
Solve for x
33 + 3 > 3x - 3 + 3
36 > 3x
36/3 > 3x/3
12 > x
To ensure the angle is not 0 or negative, thus:
3x - 3 > 0
Solve for x
3x - 3 + 3 > 0 + 3
3x > 3
3x/3 > 3/3
x > 1
Possible range of values of x would be:
1 < x < 12
Between 06 00 and 10 00,the same day ,the volume of water in a reservoir decreased from 24 000L to 18 000L.What was the average rate of decrease in volume of water, giving your answer in L/h?
Answer:
-1.5 L/h
Step-by-step explanation:
The volume of water in a reservoir decreased from 24.000L to 18.000L between 06.00 and 10.00.
We need to find the average rate of decrease in volume of water. It can be solved as follows :
[tex]Rate=\dfrac{18-24}{10-6}\\\\=-1.5\ L/h[/tex]
The negative sign shows the decrease in volume. Hence, the rate of decrease in volume of water is 1.5 L/h.
Write An Equation in Point-slope form for the line through the given point with the given slope "(-7,9);m=4/5"
Answer:
y-9=4/5(x+7)
Step-by-step explanation:
Point slope for is y-y1=m(x-x1). In this case, y1 is 9, x1 is -7, and m is 4/5. Therefore, we can fill in this equation. The equation will be y-9=4/5(x--7) This is equal to y-9=4/5(x+7).
If this helps please mark as brainliest
HELP ME OUT GUYS!!!! Question is in the screenshot below.
Answer:
87.55 [tex]cm^2[/tex]
Step-by-step explanation:
Solve for xx. Leave your answer in simplest radical form.
3
8
x
2
ANSWER ) x = sqrt51
PLEASE ANSWER STRAIGHT AWAY
Answer:
The 4 packe is better value.
Answer:
The 4 pack has better value.
Step-by-step explanation:
To find the toilet roll price, divide by the number of rolls.
2.04 ÷ 4 = 0.51
4.68 ÷ 9 = 0.52
0.52 > 0.51
So, the 4 pack has better value.
Have a wonderful day! :)