Answer:
Step-by-step explanation:
The area of a rectangle is 600 cm2. Calculate the dimensions of the rectangle knowing that its perimeter is 100 meters.
The formula for the area of a triangle =
Length × Width = 600 cm²
LW = 600
W = 600/L
Perimeter of a rectangle = 2L + 2W = 100m
2L + 2W = 100
we substitute
2L + 2(600/L ) = 100
2L + 1200/L = 100
Multiple all through by L
2L² + 1200 = 100L
2L² - 100L + 1200 = 0
We factorise
2L² - 60L - 40L + 1200= 0
Las dimensiones del rectángulo serían:
Longitud = 30m
Ancho = 20m
Halla el largo y el anchoDado que,
Área del rectángulo = 600[tex]m^2[/tex]
Sabemos,
Área del rectángulo = l × b
entonces,
l × b = 600[tex]m^2[/tex]
⇒ l = 600/b ...(i)
A continuación, tenemos,
Perímetro = 100m
Lo sabemos,
Perímetro del rectángulo = 2(l + b)
⇒ 100 = 2(l + b)
al poner (i), tenemos,
⇒ [tex]100/2 = (600/b + b)[/tex]
⇒ [tex](600 + b^2)/b = 50[/tex]
al resolver esto, obtenemos;
[tex]b^2 + 600 = 50b[/tex]
⇒ [tex]b^2 - 50b + 600 = 0[/tex]
⇒ [tex]b^2 - 30b - 20b + 600= 0[/tex]
⇒ [tex]b(b - 30) - 20(b - 30) = 0[/tex]
⇒ [tex](b - 20) (b - 30)[/tex]
∵ [tex]b = 20 m, b = 30m[/tex]
poniendo el valor de b, podemos encontrar:
[tex]l = 600/20[/tex]
∵ [tex]l = 30 m[/tex]
∵ Longitud = 30m
Ancho = 20m
Learn more about " rectángulo" here:
brainly.com/question/17048958
Find the length of the hypotenuse.
Answer:
25
Step-by-step explanation:
c-a=b
30-16=b
900-256=644
square root=25
Find the value of x.
Answer:
x = -7
Step-by-step explanation:
All triangle angles add up to 180
84 + x + 59 + x + 51 = 180
2x + 194 = 180
2x = 180 - 194
2x = -14
x = -7
What is the value of the y-intercept of the graph f(x)=138⋅1.9^x?
Answer:
Hi! The answer to your question is 138
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☆Brainliest is greatly appreciated!☆
Hope this helps!!
- Brooklynn Deka
Answer:
( 0 , 0 )
Step-by-step explanation:
The difference of the two numbers is 3 their sum is 13 find the numbers please help
Answer:
2x-3=13
2x=13+3
2x=16
2x/2=16/2
x=8
Answer:
first number is 8
second number is 5
Step-by-step explanation:
A scientist is studying the motion of waves by measuring the distance between the crests and troughs of waves in a particular area. He set up a
series of buoys at equal intervals, and attached a depth detector to each buoy.
After gathering data, the scientist modeled the positions of the buoys at a specific instance with the given function, where x is the horizontal
distance, in feet, from the first buoy and f(x) is the depth of the water, in feet, at that location.
F(x) = 2cos(x/8x) +13
Select the correct representation of the buoy positions modeled by function
Answer:
this is correct on plato/edmentum
Step-by-step explanation:
Answer:
Letter X!
Step-by-step explanation:
Correct on plato!
Which fractions have a LCD of 84? A. 3/14 1/42 1/6 B. 2/84 1/16 1/42 C. 2/21 1/4 1/3 D. 2/3 1/6 1/7
Answer:
D.)
2/3 1/6 1/7
Step-by-step explanation:
Given the fractions :
A. 3/14 1/42 1/6 B. 2/84 1/16 1/42 C. 2/21 1/4 1/3 D. 2/3 1/6 1/7
We need ot Obtian the set of fractions whose L. C. M of denominator multiplied by the numerator gives an of 84 for all its values.
A.)
L. C. M of 14, 42 and 6 = 42
42 * 3 = 126 ( not true)
B.)
L. C. M of 84, 16, 42 = 336
Can't be true
C.)
L. C. M of 21, 4, 3 = 84
84 * 2 = 168 (not true)
D.)
L.C.M of 3, 6, 7 = 42
Answer:
d
Step-by-step explanation:
What is the slope of the line that passes through the points (3, -2) and (9, -2)?
a) 0
b) 3
c) -3
d) undefined
Answer:
a) 0
Step-by-step explanation:
the equation of the slope (m) for a line from two points is given as (y2-y1)/(x2-x1)
we are given the points (3,-2) and (9,-2)
we can label the points:
x1=3
y1=-2
x2=9
y2=-2
now substitute into the equation:
m=(-2--2)/(9-3)
simplify
m=(-2+2)/6
m=0/6
m=0
the slope of the line is 0, which is option a
Hope this helps!
Kayley read 12 and 1/4 pages in 1/3 hour
18x2 = 2x18 is the associative property?
Answer:
yes
Step-by-step explanation:
the product does not change
Answer:
yes
Step-by-step explanation:
the difference is same, since the product can't change
Helpppppppppppppppppppppp
Answer:
56 degrees
Step-by-step explanation:
Hope this helps and have wonderful day!!!
additive inverse of 8/-13 pls help fast
Answer:
8/13
hope this answer helps you.....
Put these numbers in order from least to greatest.
HELPP! this is my second time uploading this question:,,)
George tells you that when variables are in the denominator, the equation
2/3+5/x=8/9 becomes unsolvable. George explains, "There is a value for x that makes the denominator zero, and you can't divide by zero." Demonstrate to George how the equation is still solvable and explain your reasoning.
Answer:
X can equal 22.5
Step-by-step explanation:
I've set up the equation below:
[tex]\frac{2}{3} +\frac{5}{x} =\frac{8}{9}[/tex]
With this equation, as any addition equation goes, we assume it to be like this:
A + B = C
so
C - A = B
that means,
[tex]\frac{8}{9} -\frac{2}{3} =\frac{5}{x}[/tex]
The easiest thing to do is to make 2/3 have the same denominator as 8/9, we do this by...
[tex]\frac{2}{3} *\frac{3}{3} = \frac{6}{9} \\[/tex]
So...
[tex]\frac{8}{9} -\frac{6}{9} =\frac{2}{9} =\frac{5}{x}[/tex]
We now know that 5 over x equals 2 over nine. We can determine x by cross multiplying as follows:
[tex]\frac{5}{x} =\frac{2}{9} \\2x = 45\\x=22.5[/tex]
So, x is 22.5, making the equation indeed solvable.
Have a nice day, fam. This problem really worked my brain! Spread The Love.
Chelsea is covering the outside of an old toy box with decorative paper. The box measures 6 inches by 14 inches by 3 inches.
How many square inches of paper is needed to cover the box?
Answer:
She will be needing 300 square inches of paper
length=14inches
breadth=3inches
height=6inches
TSA= 2(lb+lh+bh)
=2(14×3+14×6+3×6)
=2(42+84+24)
=2×150
=300 square inches
Answer:
69,420
Step-by-step explanation:
69,420 sq ft of decorative paper
In the equation 3x - 9 = 3, what is the first step we should do?
Anse
draw the line down the equal sign
Step-by-step explanation:
Answer:
Step-by-step explanation:
add 9 to both and then cancel out both 9s and add 3 and 9 together
i really need help asap!!
Given:
A figure of a parallelogram.
The vertex angles are [tex](12b+8)^\circ,(5b+2)^\circ,2a^\circ[/tex].
To find:
The values of a and b.
Solution:
We know that the pairs of consecutive angles of a parallelogram are supplementary angles. It mean their sum is 180 degrees.
[tex](12b+8)^\circ+(5b+2)^\circ=180^\circ[/tex] (Supplementary angles)
[tex](17b+10)^\circ=180^\circ[/tex]
[tex]17b+10=180[/tex]
Subtract 10 from both sides.
[tex]17b=180-10[/tex]
[tex]17b=170[/tex]
Divide both sides by 17.
[tex]b=\dfrac{170}{17}[/tex]
[tex]b=10[/tex]
Now,
[tex](5b+2)^\circ=(5(10)+2)^\circ[/tex]
[tex](5b+2)^\circ=(50+2)^\circ[/tex]
[tex](5b+2)^\circ=52^\circ[/tex]
And,
[tex](5b+2)^\circ+2a^\circ=180^\circ[/tex] (Supplementary angles)
[tex]52^\circ+2a^\circ=180^\circ[/tex]
[tex]2a^\circ=180^\circ-52^\circ[/tex]
[tex]2a^\circ=128^\circ[/tex]
Divide both sides by 2.
[tex]a^\circ=\dfrac{128^\circ}{2}[/tex]
[tex]a^\circ=64^\circ[/tex]
[tex]a=64[/tex]
Therefore, the value of a is 64 and the value of b is 10.
The volume of the rectangular prism is ________ cm3
Answer:
volume of rectangular prism =l×w×h
volume of rectangular prism =4cm×2cm×7cm
volume of rectangular prism =56cm³
Answer:
The volume of the rectangular prism is [tex]56cm^3[/tex]
Step-by-step explanation:
To find the volume of a rectangular prism, you need to multiply the length, width, and height of the rectangular prism altogether. In this case, the length is 4cm, the width is 2cm, and the height is 7cm. So the volume of the rectangular prism would be [tex]7*2*4[/tex] = [tex]7 * 8[/tex] = [tex]56cm^3[/tex].
Plz help ASAP I will mark u branliest
The time it takes to drive from the New York to Florida is normally distributed
with u = 19 hours and o = 2.5 hours. What is the probability that the next
time someone drives from NY to FL it will take between 20 and 24 hours?
Answer:
32.18%
Step-by-step explanation:
Just took the test
The final answer is: 32.18%
Got it right when I did it! :)
What is the following product
Answer:
6 (square root )432 (option 3)
Step-by-step explanation:
Answer:
Step-by-step explanation:
⁶√(432)
what is the geometric mean between 7 and 12
Answer:
Geometric Mean = 9.17
Step-by-step explanation:
Here,
a = 7
b = 12
Geometric mean = root(ab)
= root( 7 x 12)
= root(84)
= 9.17
a class of 225 students,80 of them study Arabic only and 125 study french only. How many study both subjects.(venn diagram)
Answer:
20
Step-by-step explanation:
225-80=145
145-125=20
(HELP NEEDED ASAP Will give brainliest) What is the lateral surface area?
(all square inches)
80
86
60
92
Answer:
80
Step-by-step explanation:
Area of latera = 3 bh = 10X3 +10x2.5 +2.5x10 = 30+25+25 = 80
b/c the 2 lines are equal
BRAINLIEST Find the measure of the side indicated (x). Round to the nearest tenth. Show your work to support your answer
If you apply the changes below to the linear parent function ,f(x)=|x| over the x-axis what is the equation to the new function
Answer:
Answer: A. G(x)= ax=y= - f(x) is flip over x-axis. Therefore, f(x) =14x would become f(x) =-14x. Therefore, final transformed function f(x)=-14x is vertically stretch by a factor of 14 and flip over the x-axis.
Step-by-step explanation:
Please answer the question bellow
No solution
because delta ( b^2 - 4ac ) is lower than 0(zero) .
What’s the answer????
Answer:
X = 9
Step-by-step explanation:
What is the distance between the points (-5, 9) and (4, 9) on the coordinate plane? 9 9 1 1 10 10 90
Answer:
9 units
Step-by-step explanation:
Given: Two points on a coordinate plane are [tex](-5,9),\,(4,9)[/tex]
To find: distance between points [tex](-5,9),\,(4,9)[/tex]
Solution:
According to the distance formula,
Distance between points [tex](a,b)[/tex] and [tex](c,d)[/tex] is equal to [tex]\sqrt{(c-a)^2+(d-b)^2}[/tex]
Take [tex](a,b)=(-5,9),\,(c,d)=(4,9)[/tex]
Therefore,
Distance between points [tex](-5,9),\,(4,9)[/tex] [tex]=\sqrt{(4+5)^2+(9-9)^2}[/tex]
[tex]=\sqrt{(9)^2}[/tex]
[tex]=9[/tex] units
Heelp me, please.................
Answer:
B
Step-by-step explanation:
7. PART B: Select all the values of x that make the inequality below true. *
x>-1
A. -4
B.-2.
C. -1
D. 0
E. 1
F. 4
Step-by-step explanation:
its 4
