A rectangle is 64 cm long 40 cm wide find is area and perimeter
Answer:
Assuming the length to be x and the width to be y.
Since the area is 64cm, hence
x*y = 64 (equation 1)
Since the perimeter is 40cm, hence
x + x + y + y = 40
2x + 2y = 40
2(x + y) = 2(20)
x + y = 20 (equation 2)
Hence by using simultaneous equation,
x = 20 - y (equation 3)
Substituting equation 3 into equation 1, we get
(20-y)*y=64
20y-y^2=64
Tidying up the equation,
y^2 - 20y + 64 = 0
By using factorisation,
(y-16)(y-4)=0
y=16 or y=4
By substituting y=16 into equation 1,
x*16=64
x = 4
By substituting y = 4 into equation 1,
x*4=64
x=16
Therefore,
The length is 4 cm while the width is 16 cm.
OR
The length is 16 cm while the width is 4cm.
Hope this helps!!
Find the approximate Perimeter of a regular hexagon that has an area of 36 mi2 and an apothem of 3.2 mi.
Area = 36 mi2
Answer:
Parameter of given regular hexagon = 22.32 mi (Approx.)
Step-by-step explanation:
Given:
Area of given regular hexagon = 36 mi²
Find:
Parameter of given regular hexagon
Computation:
Area of regular hexagon = [(3√3)/2]a²
[(3√3)/2]a² = 36
a² = [36 x 2] / 3√3
a² = [12 x 2] / √3
a² = 24 / √3
a² = 8√3
a² = 8 x 1.732
a² = 13.856
Side a = 3.72 mi (Approx.)
Parameter of given regular hexagon = 6 x Side
Parameter of given regular hexagon = 6 x 3.72
Parameter of given regular hexagon = 22.32 mi (Approx.)
A fire truck pulls up to a burning building with a person trapped at the 4th floor window which is 45 ft off the ground. The truck is parked 9 ft away from the building to give the firefighters and police room to work on the ground. The base of the ladder is 5 ft off the ground already because it is sitting up on the truck. If it takes 2 seconds to extend the ladder one foot, how long will it take the firefighters to extend the ladder to the window?
Answer:
108 seconds i belive
Step-by-step explanation:
40 x 2 = 80 seconds and if you add the 9ft 108 seconds
(50 pts will mark brainliest) The perimeter of a rectangle is 48 inches. The width of the rectangle is 4 inches more than 3 times the length of the rectangle. What are the dimensions of the rectangle?
Answer:
The rectangle is 5 inches long by 19 inches wide.
Step-by-step explanation:
Let's start by listing what we know:
The perimeter of a rectangle is 48 inches.The width of the rectangle is 4 inches more than 3 times the length of the rectangle.Let's represent the width with "w" and length with "l", and make a system of equations based on what we know.
[tex]\left \{ {{2w + 2l = 48} \atop {w = 3l + 4}} \right.[/tex]
Now, let's solve the system of equations using substitution:
[tex]2w + 2l = 48[/tex]
[tex]2 (3l + 4) + 2l = 48[/tex]
[tex]6l + 8 + 2l = 48[/tex]
[tex]8l + 8 = 48[/tex]
[tex]8l = 40[/tex]
[tex]l = 5[/tex]
The length of the rectangle is 5 inches.
Now, let's use this to solve for the width.
[tex]w = 3l + 4[/tex]
[tex]w = 3(5) + 4[/tex]
[tex]w = 15 + 4[/tex]
[tex]w = 19[/tex]
The width of the rectangle is 19 inches.
Let's check our work:
[tex]2w + 2l = 48[/tex]
[tex]2(19) + 2(5) = 48[/tex]
[tex]38 + 10 = 48[/tex]
[tex]48 = 48[/tex]
The results match, so our answer is correct.
The rectangle is 5 inches long by 19 inches wide.
Pls help ! Find the value of x .
Answer:
101
Step-by-step explanation:
180-79=101
have a great day
Answer:
the value of x is 101 degrees
Sam built a circular fenced-in section for some of his animals.The section has a circumstance of 55 meters.What is the Approximate area, in square meters, of the section? Use 22/7 for for pi
A) 240.625 m squared
B) 926.5 m squared
C) 2,376.79 m squared
D) 240.8 m squared
Answer:
i think option C is correct hope it helps
Answer:
C) 2,376.79 m squared
Step-by-step explanation:
A wire is stretched from the top of a 12 ft pole to a point on the ground 9 feet from the base of the pole. Find the length of the wire.
Answer:
with 3 lenght
Step-by-step wexplanation:
Which of the following number sentences is true?
A -9=9
B-9=-(9)
C 9=(-9)
D 9=-(-9)
Answer:
A and D are the true number sentences
Tell whether each number is rational or irrational.
0.121121112..
Assuming that the ".." at the end of the number represents it being continuous, then it would be irrational.
0.121121112.. is an irrational number but not rational.
What is Number system?A number system is defined as a system of writing to express numbers.
0.121121112... is rational or irrational is to consider its decimal representation and whether it is a repeating or terminating decimal.
We can see that 0.121121112... is not a terminating decimal because it goes on forever.
Additionally, it is not a repeating decimal because there is no fixed pattern of digits that repeats continuously.
Therefore, we can conclude that 0.121121112... is an irrational number.
To learn more on Number system click:
https://brainly.com/question/22046046
#SPJ2
awnser plsssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss
Answer:
x = 12, x = -4.
Step-by-step explanation:
x² - 8x - 48 = 0.
This factors to (x - 12)(x + 4) = 0.
Proof:
(x - 12)(x + 4) = 0
first: x * x
outer: 4 * x
inner: -12 * x
last: -48.
first: x²
outer: 4x
inner: -12x
last: -48
x² + 4x - 12x - 48
x² - 8x - 48.
To find the zeros, take the individual pairs and find the values that make the equation 0.
x - 12 = 0
Add 12 to both sides.
x = 12.
x + 4 = 0
Subtract 4 from both sides.
x = -4.
Answer:
x= 4 + 2√5, x = 4 - 2√5
Step-by-step explanation:
So this is quadratics so you can solve it by completing the square and using the quadratic formula. The quadratic formula is x = (-b±√(b²-4ac)) / (2a).
please help me. Will mark u brainlyist.... Please don't put a randome answer if u don't know.
Answer:
105
Step-by-step explanation:
< 7 is also 105- they are alternate exterior angles
is 3 a factor of twelve? write yes or no and give a reason for your answer
Answer:
YesStep-by-step explanation:
[tex] \frac{12}{3} = 4 \\ 3 \times 4 = 12[/tex]
Twelve can be used to divide 3 without having a remainder.
Answer:
yes
Step-by-step explanation:
The factor of 12 are:
1, 2, 3, 6, 12
Find the surface area of the right prism :
Answer:
336 in²
Step-by-step explanation:
Surface area of triangular prism = bh + (s1 + s2 + s3)H
Where,
b = 6 in
h = 8 in
s1 = 10 in
s2 = 6 in
s3 = 8 in
H = 12 in
Surface area of triangular prism = 6*8 + (10 + 6 + 8)12
= 48 + (24)12
= 336 in²
Susan collected 89 stickers for 28 weeks. how many stickers did she collect in total round off your answer to the nearest hundred
I think 2,492.
But you said round so maybe 2,500.
Pls answer this for me. How many paving stones, each 1m long and 80cm wide, are needed to cover a compound 13.6m long and 11m wide?
Answer: 187
Step-by-step explanation:
Given
Dimension of stone is [tex]1\ m\times 80\ cm[/tex]
Dimension of compound [tex]13.6\ m\times 11\ m[/tex]
Area of the stone
[tex]\Rightarrow a=1\times 0.8=0.8\ m^2[/tex]
Area of compound
[tex]\Rightarrow A=13.6\times 11=149.6\ m^2[/tex]
No of the stones needed is
[tex]\Rightarrow n=\dfrac{A}{a}\\\\\Rightarrow n=\dfrac{149.6}{0.8}\\\\\Rightarrow n=187[/tex]
Thus, 187 stones are needed
What is the surface area of the cylinder with height 5 m and radius 7 m? Round your answer to the nearest thousandth.
Answer:
It SHOULD be 527.79(m2) If I'm not mistaken.
Step-by-step explanation:
Answer:
7000
Step-by-step explanation:
7×1000=7000
5×5=25÷5=5-5=0
Help with these questions please!
Answer:
1) c = 25 cm
2) a = 11.532562594 cm
I hope it's helps you
Step-by-step explanation:
Using Pythagoras Theorem:
[tex]c = \sqrt{{a}^{2} + {b}^{2} }[/tex]
7.
[tex]c = \sqrt{ {a}^{2} + {b}^{2} } \\ c = \sqrt{ {24}^{2} + {7}^{2} } \\ c = \sqrt{625} \\ c = 25[/tex]
8.
[tex]a = \sqrt{ {c}^{2} - {b}^{2} } \\ a = \sqrt{ {13}^{2} - {6}^{2} } \\ a = \sqrt{133} \\ a = 11.5[/tex]
(cor. to the nearest tenth)
Solve
270.6 is 16 1/2% of what number?
WILL GIVE BRAINLIST
Answer:
165 po ang sagot
Step-by-step explanation:
yan po talaga ang sagot
PLEASE HELP.
Which TWO statements below are true about a polygon
. A quadrilateral is a polygon
. A ☆is a polygon.
A triangle is a polygon.
A circle is a polygon.
Answer:
2
Step-by-step explanation:
A quadrilateral is a polygon and A triangle is a polygon. I think
Dalgliesh the detective fancies himself a shrewd judge of human nature. In careful tests it has been discovered that he is right 80 percent of the time when he says that a randomly chosen suspect is lying. Dalgliesh says that Jones is lying. The polygraph expert, who is right 100 percent of the time, says that 40 percent of the subjects interviewed by Dalgliesh are telling the truth. What is the probability that Jones is lying?
Answer:
The probability that Jones is lying is 6/7
Step-by-step explanation:
First we will list out 2 different cases when the outcome is a lie
1.probability that Jones tells lies is = 0.6 and probability that dalgiliesh analyses it correctly is 0.8
So the probability that dagliesh correctly analyses that he is telling lies is 0.8*0.6=0.48
2.Probability that Jones tells truth is 0.4 and if dagliesh analyses it incorrectly (which has a probability of 0.2) the outcome(as analysed by dagiliesh) is a lie
So probability that dagliesh analyses Jones truth as a lie is 0.2*.0.4=0.08
Total probability of outcome being a lie is 0.48+0.08=0.56
But we need the probability of Jones actually saying a lie which is nothing but 0.48/0.56= 6/7
PLS HELP FAST NO LINKS
32 Ib 12 oz=_Ib
A.32.5
B.32.75
C.33
D.44
Answer:
option C
Step-by-step explanation:
12 Is 1 pound
so 32 plus 1 is 33
I hope this helped!
Why does my app keep saying I’m not a member even tho it ends on 10/15/21
Answer:
Oof I have no idea 0_0
Step-by-step explanation:
I dont have brainly plus but I still have unlimited access...
I'm so sorry!!!
Have a nice day <3
4 x 10^4 in Standard Form?
Answer:
4 × 10^4
→ 4× 10000
→ 40000
Correct option → 40000
hope it helped :)
WILL GIVE BRAINLIEST AND 40 POINTS TO CORRECT ANSWER (URGENT)
chef daniels places her favorite recipes in a bag for 4 pasta dishes, 5 casseroles, 3 types of chili, and 8 desserts. If Chef Daniel chooses two recipes at random (but replaces the first one before drawing the second), what is the probability that the first recipe she selects is a casserole and the second recipe she selects is a dessert?
Answer:
Hi
Step-by-step explanation:
I have the same question, did you figure it out?
Help ASAP no links please
Answer:
f(x) = -4x + 21
Step-by-step explanation:
Given:
(4, 5) and (2, 13)
Required:
Linear function of that passes through the given points
Solution:
We need to determine the slope (m) and y-intercept (b) of the function.
✔️Finding the slope using the points given:
Slope (m) = change in y/change in x
= (13 - 5)/(2 - 4)
= 8/-2
m = -4
✔️To find y-intercept (b), substitute (x, f(x)) = (4, 5) and m = -4 into f(x) = mx + b
5 = -4(4) + b
5 = -16 + b
5 + 16 = b
b = 21
✔️To write the function, substitute m = -4 and b = 21 into f(x) = mx + b
f(x) = -4x + 21
an electrician charges a fee of $50 plus $35 per hour. let y be the cost in dollars of using the electrician for x hours. write an equation to model this situation
Answer:
y = 50 + 35x we dont know how many hours they worked
Step-by-step explanation:
WILL GIVE BRAINLIEST!! do not answer if you dont know what the answer is.
3(n + 2) = 9(6 - n)
if 10 men can do a piece of work in 3 days. how long will it take 5 men to do?
Neal thought of a number. When he divided 47 by his number the remainder was 5. What can Neal's number be? Find all possible answers
Answer:
[tex]\{\ldots -89,-42,5,52,99,\ldots\}[/tex]
Step-by-step explanation:
His number must be an integer multiple of 47, plus 5.
[tex]47n+5[/tex] where n is any integer.
Write a first degree function g(x) and a second degree function h(x).
Answer:
g(x) = 6x - 8
h(x) = 2x^2 + 4x - 5
Step-by-step explanation:
g(x) = 6x - 8
h(x) = 2x^2 + 4x - 5