Answer:
Dimension => 10 m × 9.6 m
Step-by-step explanation:
From the question given above, the following data were obtained:
Area (A) = 96 m²
Circumference (C) = 39.2 m
Dimension =.?
Next, we shall determine the Lenght and breadth of the rectangle. This can be obtained as follow:
Let L be the Lenght
Let B be the breadth
Area of a rectangle = L × B
96 = L × B ..... (1)
Circumference of rectangle = 2(L + B)
39.2 = 2(L + B) .... (2)
From equation 2, make L the subject
39.2 = 2(L + B)
Divide both side by 2
39.2 /2 = L + B
19.6 = L + B
Rearrange
L = 19.6 – B ....(3)
Substitute the value of L in equation 3 into equation 1
96 = L × B
L = 19.6 – B
96 = (19.6 – B ) × B
Clear bracket
96 = 19.6B – B²
Rearrange
B² – 19.6B + 96 = 0
Solving by factorisation
B² – 10B – 9.6B + 96 = 0
B(B – 10) – 9.6(B – 10) = 0
(B – 9.6)(B – 10) = 0
B – 9.6 = 0 or B – 10 = 0
B = 9.6 or B = 10
Substitute the value of B into equation 3:
L = 19.6 – B
B = 9.6
L = 19.6 – 9.6
L = 10
Or
L = 19.6 – B
B = 10
L = 19.6 – 10
L = 9.6
Since the length is always longer than the breadth,
Length (L) = 10 m
Breadth (B) = 9.6 m
Finally, we shall determine the dimension of the rectangle. This can be obtained as follow:
Length (L) = 10 m
Breadth (B) = 9.6 m
Dimension =?
Dimension = L × B
Dimension = 10 m × 9.6 m
On a map of Arizona 2 inches represents 54 miles. The map distance from Yuma to Sentinel is 3 inches. What is the actual distance in miles between the cities?
Answer: 81 miles
Step-by-step explanation:
if 2 inches = 54miles then 1 inch is 27 miles because 54/2=27
so 3 inches means 3(27)=81 miles from yuma to sentinel
please help me i really need it
Answer:
top right is the hypotenuse, top left is a leg, bottom right is a leg
Step-by-step explanation:
Every triangle has 2 legs and 1 hypotenuse. The hypotenuse is always the longer side and across the 90 degree angle. All of the other sides would be called the legs because they are not the hypotenuse
The school librarian ordered 180 books. The order included 36 history books, 62 science books , and 34 English books. The rest of the books in the order are math books how many books did the librarian order"
Answer:
180
or if your looking for math books then
48
Step-by-step explanation:
36+62=98
98+34=132
180-132=48
Answer:
180
Step-by-step explanation:
y=2x+9 y=4x-9 Solve the system of equations.
Answer:
Your solution is (9, 27) or x = 9, y = 27
Step-by-step explanation:
y = 2x + 9
y = 4x - 9
We can see that both of these equations equal y, so we can set them equal to each other.
2x + 9 = 4x - 9
Add 9 to both sides.
2x + 18 = 4x
Subtract 2x from both sides.
18 = 2x
Divide both sides by 2.
9 = x
Now we want to find y. To do this, plug x = 9 back into one of the original equations.
y = 2(9) + 9
Multiply.
y = 18 + 9
Add.
y = 27
Your solution is (9, 27)
Check your answer by plugging x = 9 and y = 27 back into the original equations.
y = 2x + 9
27 = 2(9) + 9
27 = 18 + 9
27 = 27
y = 4x - 9
27 = 4(9) - 9
27 = 36 - 9
27 = 27
Your answer is correct.
Hope this helps!
Answer:
x=9,y=27
Step-by-step explanation:
y=2x+9,........equation 1
y=4x-9..........equation 2
from equation 1 and 2
we get
2x+9=4x-9
9+9=4x-2x
x=18/2=9
substituting value of x in equation 1
y=2×9+9=18+9=27
Explain why a rotation of 270 Degress clockwise will result in the same transformation as a rotation of 90 degress counterclockwise.
Answer:
Step-by-step explanation:
b/c they end up in the same place but take different ways of getting there... 90 + 270 adds up to a full circle of 390 so b/c one goes in the positive direction and one goes in the negative, the both get to the same location, :)
Directions:Find the measures of the missing angles in each trapezoid. Will give brainliest for full answer.Posted for the 4th time :(
Step-by-step explanation:
m<M=m<L=110°
m<N=m<O=x → 2x+2(110°)=360° → x=70°
m<E=180°-22°=158°
m<A=360°-(88°+22°+158°)= 92°
m<D=m<O=61°
m<S=m<G=x → 2x+2(61°)=360° → x=238/2 = 119°
Answer:
Step-by-step explanation:
1)∠L + ∠O = 180 {Co interior angles}
110 + ∠O = 180
∠O = 180 - 110
∠O = 70
Base angles of isosceles trapezoid are equal
∠M = ∠L
∠M = 110
∠O = ∠N
∠N = 70
2) ∠c + ∠A = 180 {Co interior angles}
88 + ∠A = 180
∠A = 180 -88
∠A = 92
∠D + ∠E = 180 {Co interior angles}
22 +∠E = 180
∠E = 180 - 22
∠E = 158
3) ∠O + ∠G = 180 {Co interior angles}
61 + ∠G = 180
∠G = 180 - 61
∠G = 119
Base angles of isosceles trapezoid are equal
∠D = ∠O
∠D = 61
∠S = ∠G
∠S = 119
The distance in miles that some students live from school is show in the histogram which stamen about the data in the histogram is true
Answer:
D). The distribution of the data is symmetrical, so the mean and median are within the "2.1-3 mile" category.
Step-by-step explanation:
The last statement i.e. 'The distribution..."2.1-3 mile" category' correctly asserts a true claim regarding the data provided in the given histogram. It aptly states that the dissemination of the data is uniform(2, 4, 5, 4, 2(no. of students) live between the distance of 0.1 to 5 miles from the school) and this causes both the mean, as well as, the median of the distribution to fall in the category between '2.1 to 3 mile.' Thus, option D is the correct answer.
Using the fact this is a 3, 4, 5 triangle, find the missing side *
Please help I will give 5 stars!
Answer:
0.8
Step-by-step explanation:
I Dont know 3, 4, 5 so I am going to just use the normal formula
a^2 + b^2 = c^2
0.6^2 + b^2 = 1^2
0.36 + b^2 = 1
b^2 = 0.64
b= 0.8
Interpret the y-intercept!, Brainiest will be given out!
Answer:
Y intercept = 3
Step-by-step explanation:
Answer:
b) At 10 years, the height is 24 feet
Step-by-step explanation:
During a building project, a brick is
dropped from a height of 1,936 ft. If the
equation for height as a function of time is
h(t) = -16t2 + initial height where t is time
in seconds and h(t) is height in feet, how
many seconds will it take for the brick to
hit the ground?
[?] seconds
Answer:
11 seconds
Step-by-step explanation:
h(t) = -16t^2 + 1936
When the brick hits the ground h = 0 so:
-16t^2 + 1936 = 0
-16t^2 = -1936
t^2 = -1936/-16
= 121
t = 11 seconds.
The amount of time taken by the brick to hit the ground is 11 seconds.
What is a function?A function in mathematics set up a relationship between the dependent variable and independent variable. on changing the value of the independent variable the value of the dependent variable also changes.
It is given that during a building project, a brick is dropped from a height of 1,936 ft. If the equation for height as a function of time is h(t) = -16t² + initial height. where t is time in seconds and h(t) is height in feet.
h(t) = -16t² + 1936
When the brick hits the ground h = 0 then the amount of time taken by the brick will be calculated as below:-
-16t² + 1936 = 0
-16t² = -1936
t² = -1936/-16
t²= 121
t = 11 seconds.
Therefore, the amount of time taken by the brick to hit the ground is 11 seconds.
To know more about function follow
https://brainly.com/question/2833285
#SPJ2
Reflect across the y-axis. Fill in the new coordinates below:
Answer:
A(-1,2)
B(-4,4)
C(-3,1)
Step-by-step explanation:
simply reflect across the y-axis. pls give brainliest
which expression simplifies to 2x^2y√5x
(show your work on how you simplified)
a. √10x^3y
b. √10x^5y^2
c. √20x^3y
d. √20x^5y^2
Answer:
c
Step-by-step explanation:
PLZZZ HELP ITS ALMOST DUE
Answer:
Everytime x goes up 1 y goes up 3
Step-by-step explanation:
I mean its pretty obvious 1=2 2=5 3=8 4=11
HELPPPP I will mark brainiest wow I can’t spell
Answer:
V=[tex]\frac{28\pi }{3}[/tex]
Step-by-step explanation:
Plug and chug into the formula, your radius is 2ft, and your height is 7ft.
[tex]V=\pi*2^{2} *\frac{7}{3}[/tex]
V=[tex]\frac{28\pi }{3}[/tex] or 29.30 if [tex]\pi =3.14[/tex]
NEED HELP ASAP WILL GIVE BRAINLY
Answer:
c
Step-by-step explanation:
Ariana compró cierto número de sacos de azúcar por S/. 675 y luego los vendió por S/. 1 080, ganando S/. 3 por cada saco. ¿Cuántos sacos de azúcar compró?
Responder:
135
Explicación paso a paso:
Número de bolsas compradas = x
Costo total de compra = 675
Costo total de ventas = 1080
Beneficio por bolsa = 3
Por eso :
Beneficio total + costo total de compra = costo total de ventas
3x + 675 = 1080
3x = 1080 - 675
3 veces = 405
x = 405/3
x = 135
Se compraron 135 bolsas
30 points !! and brainlest !!!!! for best answer
Answer:
look below
Step-by-step explanation:
a. 3.888mm^2
b. 162km^2
c. 0.36cm^2
d.20.25cm^2
e. 9.6m^2
f. 128.832km^2
g. 110.4m^2
h.9.15cm^2
I. 0.084km^2
During an exploratory activity, a student measured the diameter and circumference of several circular objects.
Answer:
what is the question? I need to know
A sphere has a diameter of 34 ft. What is its surface area?
The surface area of the sphere is
what ft2 . (Type an exact answer in terms of .)
Answer:
≈ 3629.84 ft^2
Step-by-step explanation:
Surface Area = 4πr^2
radius: 17 ft
= 4 · 3.14 · 17^2
= 4 · 3.14 · 289
≈ 3629.84 ft^2
Write an equation for the relationship between x and y.
Find the circumference and area of each circle to the nearest tenth. Use 3.14 for pi. 1.) radius = 1.7 2.) radius = 14 ft 3.) 9 in
Answer:
Step-by-step explanation:
Circumference of a circle = 2πr
Area of circle = πr²
Here, r = radius of the circle
1). For radius = 1.7 units
Circumference = 2π(1.7)
= 2(3.14)(1.7)
= 10.676
≈ 10.7 units
Area of the circle = π(1.7)²
= 3.14(1.7)²
= 9.0746
= 9.1 units²
2). For radius = 14 ft
Circumference of the circle = 2π(14)
= 28(3.14)
= 87.92
≈ 87.9 ft
Area of the circle = πr²
= 3.14(14)²
= 615.44
≈ 615.4 ft²
3). For radius = 9 in.
Circumference = 2π(9)
= 18π
= 56.52
≈ 56.5 in
Area of the circle = π(9)²
= 81π
= 254.34 in²
≈ 254.3 in²
The width of a picnic table is 3 times its length. If the length is 5/6 yd long, what is the area of the picnic table in square feet?
Step-by-step explanation:
Breadth
=5/6
Length
=15/6
Area of rectangle = l x b
=5/6 x 15/6
=75/6
Answer:
6 1/4 sq ft
Step-by-step explanation:
x = length = 5/6
y = width = 3x
so y = 3(5/6) or 15/6
A = length · width
A = 5/6 · 15.6 or 25/12 which is 6 1/4
Last week, Thomas ran 5 1/4 miles. This week, he planes to run 1/2 as far as he ran last week. How many miles does Thomas plan to run this week?
Answer:
2.625
Step-by-step explanation:
Last week Thomas ran 5 1/4 miles
This week he plans to run 1/2 miles as far
Therefore the number of miles he plans to run cann be calculated as follows
= 5 1/4 × 1/2
= 21/4 × 1/2
= 21/8
= 2.625
Hence Thomas plans to run 2.625 miles
Write and simplify an expression that represents the perimeter of the parallelogram.
SOMEONE PLZ ME 10POINTS and only anwser if you know it!!
Answer
-6
Step-by-step explanation:
The walk-a-thon raised 170% of the expected amount. The goal was $1,500. The walk-a-thon raised how much money?
Answer: 2,550 was raised for the walk-a-thon
Step-by-step explanation:
Answer:
2550
Step-by-step explanation:
I need help with this
Answer:
268
formula:
A= 2(wl+hl+hw)
I need help. i dont know where to start......
Answer:
start at x
Step-by-step explanation:
you are welcome
Answer: x=27
Step-by-step explanation: the perimeter is rim of the shape. Since you are already given the perimeter you would need to subtract all of the sides from that number. 93-18-18-15-15= 27 you will be left with the answer to the remaining side.
help me pls!!!!!!!!!!
Answer:
R U A girl?
Step-by-step explanation:
What makes a rhombus special?
Answer:
A rhombus is a special parallelogram because its sides are always equal.
