Answer:
Length = 22m
Breadth = 20m
Step-by-step explanation:
Given:
Area = 440 m²
Let the breadth be x m
According to the question:
Length = (x+ 2) m
Area of a rectangle = length × breadth
Substitution the values of area, length and breadth
440 = (x+2) × x
440 = x² + 2x
x² + 2x - 440 = 0
x² + 22x - 20x - 440 = 0
x (x + 22) - 20 (x + 22) = 0
(x + 22) (x - 20) = 0
x = -22 and 20
Since the value of breadth cannot be in negative, therefore the value of breadth will be 20 m.
Length = (x + 2)
⇒ 20 + 2
⇒ 22 m
Please help me with this and find x!! Thank you, only if you know!
Answer:
x = 9.8
Step-by-step explanation:
to find x, use pythagorean theorem
[tex]a^{2} = c^{2} - b^{2}[/tex]
[tex]a^{2} = 14^{2} - 10^{2}[/tex]
[tex]a^{2} = 196 - 100[/tex]
[tex]a^{2} = 96[/tex]
[tex]\sqrt{a^2} = \sqrt{96}[/tex]
[tex]a = 9.7979[/tex] ⇒ 9.8
Answer:
The value of x=4√6cm or √96cm
Step-by-step explanation:
According to Pythagoras theorem,
Hypotenuse²=Perpendicular²+Base²
H²=P²+B²
Hypotenuse given=14cm
Base=10cm
Perpendicular=x
14²=P²+10²
196=P²+100
196-100=P²
96=P²
√96=P
4√6cm=x
7. Tom weighs 168.5 pounds. His 2-year- old son, Nicholas, weighs 33.7 pounds. How many times as much as Nicholas does Tom weigh?
Answer:
Tom weighs 5 times as much as Nicholas
Step-by-step explanation:
To find how many times as much as Nicholas Tom weighs, we will divide Tom's weight by Nicholas' weight. This is done as follows:
Tom's weight = 168.5 pounds
Nicholas' weight = 33.7 pounds
Dividing both weights = 168.5 ÷ 33.7 = 5
∴ Tom weighs 5 times as much as Nicholas
May i get someone to help with these questions
6. If y = V 81, what is the value of y?
O A) 3
B) 9
C) 40.5
OD) 81
8. Only 54%of the people voted for senior class president. What part of the people didn’t vote?
A) 0.054
B) 0.046
C) 0.46
D) 0.54
Answer:
8) 0.46
Step-by-step explanation:
54% = 0.54 because 0.54*100 = 54% so 54%/100 = 0.54
100% - 54% = 46%
46%/100 = 0.46
You're #6 is unclear, what is V?
3x = -6у + 3
2y = -x+1
Answer:
3x = -6у + 3 and 2y = -x+1 are the same
i dont know what the question is but this should help. they are the same line on a graph
Step-by-step explanation:
3x = -6y + 3
2y = -x + 1 adding x on both sides and subtracting 2y on both sides
x = -2y + 1 multiply by 3
3x = -6y + 3
I’LL GIVE YOU BRILLIANCE
(it’s question 15)
Answer:
one 4 Two yes And 4
Step-by-step explanation:
Find the area of the composite shape.
1,323 cm squared
1,209 cm squared
955.5 cm squared
1,029 cm squared
Answer:
4. A = 1029 cm²Steps:
A = (35×21)+(21+2×3.5)×21/2
A = 735 + (21+7)×21/2
A = 735 + 28×21/2
A = 735 + 588/2
A = 735 + 294
A = 1029 cm²Given the equation of a line y =-5x -16, what is the slope of a line PARALLEL to this line?
Answer:
-5
Step-by-step explanation:
slopes of parallel lines are the same
guys help i only have 10 more minutes left ;-;
Answer:
20
Step-by-step explanation:
12 = 6/10 x
120 = 6x
x = 20
Which of the following functions is an example of an exponential function?
х
0
1
N
f(x)
2
4
6
8
g(x)
1
1
2
4
8
f(x) only
g(x) only
Both f(x) and g(x)
Neither f(x) nor g(x)
Answer:
g(x) only
Step-by-step explanation:
g(x) only is an exponential function
Please Help! Solve the equation for x.
1/3x-8= -12
A. x= -12
B. x= -6
C. x= 4
D x= 6
Answer:
A
Step-by-step explanation:
Given
[tex]\frac{1}{3}[/tex] x - 8 = - 12 ( multiply through by 3 to clear the fraction )
x - 24 = - 36 ( add 24 to both sides )
x = - 12 → A
Please help me!
[One Step Inequalities]
Answer:
x<6
Step-by-step explanation:
5b2+28=
b=1.5
PLEASE HELP ME!!!
Answer:
39.25
Step-by-step explanation:
I am assuming that 5b2 means 5b to the power of 2.
5(1.5)^2+28
5(2.25)+28
11.25+28
39.25
Solve the system of equations by multiplying first. Enter the solution as an ordered pair.
x + 3y = -13
4x + 4y = -12
The solution is
Given:
The system of equations is:
[tex]x+3y=-13[/tex]
[tex]4x+4y=-12[/tex]
To find:
The solution for the given system of equations.
Solution:
We have,
[tex]x+3y=-13[/tex] ..(i)
[tex]4x+4y=-12[/tex] ...(ii)
Multiply equation (i) by 4, to make common coefficient of x.
[tex]4x+12y=-52[/tex] ..(iii)
Subtract (ii) from (iii).
[tex]4x+12y-4x-4y=-52-(-12)[/tex]
[tex]8y=-40[/tex]
[tex]y=\dfrac{-40}{8}[/tex]
[tex]y=-5[/tex]
Putting [tex]y=-5[/tex] in (i), we get
[tex]x+3(-5)=-13[/tex]
[tex]x-15=-13[/tex]
[tex]x=-13+15[/tex]
[tex]x=2[/tex]
Therefore, the solution of the given system of equations is [tex]x=2,y=-5[/tex].
Use the equation below to answer the division question. A/b+(1/4x1/b)=1/2 What is 1/2 divided by a/b?
Answer:
[tex]\mathbf{\dfrac{2b- 1}{2b}}[/tex]
Step-by-step explanation:
[tex]\text{The given equation is:}[/tex]
[tex]\dfrac{a}{b}+ (\dfrac{1}{4} \times \dfrac{1}{b}) = \dfrac{1}{2}[/tex]
[tex]\text{To find:}[/tex]
[tex]\dfrac{1}{2} } \div {\dfrac{a}{b} }[/tex]
[tex]\text{From the given equation:}[/tex]
[tex]\dfrac{a}{b}+ (\dfrac{1}{4b}) = \dfrac{1}{2}[/tex]
[tex]\dfrac{a}{b} = \dfrac{1}{2} - (\dfrac{1}{4b})[/tex]
[tex]\dfrac{a}{b} = \dfrac{4b- 2}{(2) (4b)}[/tex]
[tex]\dfrac{a}{b} = \dfrac{4b- 2}{8b}[/tex]
[tex]\text{Now; the value of}[/tex] [tex]\dfrac{a}{b} \div \dfrac{1}{2}[/tex]
∴
[tex]\implies \dfrac{4b- 2}{8b} \div \dfrac{1}{2}[/tex]
[tex]\implies \dfrac{4b- 2}{8b} \times \dfrac{2}{1}[/tex]
[tex]\implies \dfrac{4b- 2}{4b}[/tex]
[tex]\implies \dfrac{2b- 1}{2b}[/tex]
Plzzzzzzzzzzzzz help me giving 30 points i asked this question too much.
Answer:
$1.90 1 9/10
Step-by-step explanation:
5 1/2= $5.50
5.50+2.60= 8.10
10-8.10= $1.90
Find the 11th term of the geometric sequence 6, -18,54, ...
Answer:
354294
Step-by-step explanation:
a1 = 6, r = -3
an = a1 * r^n-1 (formula)
a11 = 6 * (-3)^11-1
a11 = 6 * 590949 = 354294
a11 = 354294
Find the hypotenuse of a right triangle that has a 13cm leg and a height of 7cm
Answer:
14.76 cm
Step-by-step explanation:
Use the pythagorean theorem:
a² + b² = c²
Plug in the side lengths and solve for c:
7² + 13² = c²
49 + 169 = c²
218 = c²
14.76 = c
So, the hypotenuse is approximately 14.76 cm
Which phrase represents the algebraic expression for n – 4?
A. The quotient of a number and four.
B. Four less than a number.
C. Four minus a number.
D. Four more than a number.
Step-by-step explanation:
B. Four less than a number.
Find the missing side of this right triangle.
Answer:
13
Step-by-step explanation:
it's a 5,12,13 triangle
and we can find the sides by Pythagorean theorem:
a^2 + b^2 = root of c
25 + 144 = 169
root of 169 = 13
About how many more website hits were there on Saturday than on Friday?
Answer:
1,000 hits
Step-by-step explanation:
Saturday: 2,000 hits
Friday: 1,000 hits
2,000 - 1,000 = 1,000
Answer: 1,000 hits
Step-by-step explanation:
I just took the test, it's right.
I need help with this
Answer:
13.5
Step-by-step explanation:
4+5 = 9.
9/2 = 4.5
4.5 * 3 = 13.5
PLEASE HELP IM DESPRATE AND I CANT GET IT
Answer:
1
Step-by-step explanation:
1. 1
if you find -4 on the x-axis, the y value is 1.
what is the 3rd page?
Order the following numbers from least to greatest : 2.67 5.28 1.73 4.92 2.56
Answer:
is this helpful i hope it is
what is Arithmetic progression and geometric progression?
hope u have a great day!!
Answer:
Arithmetic progression is a series of numbers in which each one varies from the one before it by a constant quantity
Geometric progression is a non-zero number sequence in which each term after the first is found by multiplying the previous term by a fixed, non-zero number known as the common ratio.
Hope you have a good day as well! <3
Okay so i need to know the area of the rectangle on the inside its 5ft on the right side its 6ft and on the bottom its 5ft please and thank you :)
Answer:
30ft^2
Step-by-step explanation:
Area of a rectangle = Length * Width
Given
Length = 6ft
Width = 5ft
Substitute
Area of the rectangle = 6ft *5ft
Area of the rectangle = 30ft^2
Hence the area of the rectangle is 30ft^2
Please help! In the diagram below, lines l and k are parallel.
What is the measure, in degrees, of ∠ABC ?
Answer:
50
Step-by-step explanation:
x+95 = 4x-10 ( alternate angles)
or, 4x -x = 95+10
or, 3x = 105
x= 35
x+95 = 35+95 = 130
130 + ABC = 180 ( linear pair)
or, ABC = 180-130= 50
What is the radius of a sphere that has a surface area of 951.1 in2?
A. 6.4 in
B. 7.7 in
C. 9.8 in
D. 8.7 in
Answer:
FORMULA FOR SURFACE AREA OF SPHERE = 4 pi r^2
r = 6 " area = 4 pi X 6 X 6 = 144 pi " squared
r = 12 "
area = 4 X pi X 12 X 12 = 576 pi" squared
ANSWER Area will be 4 times the original
Step-by-step explanation:
Answer:
The answer is D. 8.7
Step-by-step explanation:
A=4πr2
Solving fore
r=1
2A
π=1
2·951.1
π≈8.69978in
A ball is dropped from a height of 64 feet. Its height, in feet, can be modeled by the function h(t) = -16t2 + 64, where t is the time in seconds since the ball was dropped. A. After how many seconds will the ball hit the ground? B. What is a reasonable domain and range for this function?
Answer:
See solution below
Step-by-step explanation:
The ball will hit the ground at whrn t = 0
Given the height of the ball modeled by the expression
h(t) = -16t^2 + 64
0 = -16t^2 + 64
16t^2 = 64
t^2 = 64/16
t^2 = 4
t = 2sec
The ball will hit the ground 2secs after
The domain are the values of the input values t and this values start from 2 and greater. Hence the domain of the function is {2, ∞}
when t = 2
h (2) = -16(2)^2 + 64
h(2) = -64+64
h(2) = 0
Hence the range are the output values i.e the height.
The range are within the range {0, ∞}
PLEASE HELP!! find the value of c
Step-by-step explanation:
step 1. so you want to convert a quadratic (ax^2 + bx + c) into a perfect square
step 2. therefore c is half of b then squared
step 3. (26/2)^2 = 169
step 4. (-22/2)^2 = 121
step 5. (-13/2)^2 = (-6.5)^2 = 169/4 = 42.25.
An artist is painting flower pots that each require 1/32 gallon of paint. What is the maximum number of flower pots the artist can paint with 3/4 gallon of paint?
Answer:
24 flower pots
Step-by-step explanation:
Fraction of paint required per flower pot = 1/32
Number of pots that can be painted with 3/4 galoons of paint :
Total Fraction of paint had / fraction of paint required per flower pot
3/4 ÷ 1/32
3/4 * 32 / 1
(3*32) / 4
96 /4
= 24 flower pots