Answer:
length :16cm
wide :20cm
We have
Area of inner frame :16*20=320cm²
For
Total area =464cm²
(20+2x)(16+2x)=464cm²
320+32x+40x+4x²=464cm²
4x²+72x+320-464=0
4x²+72x-144=0
4(x²+18x-36)=0
x²+2.9.x+9²=9²+36
(x+9)²=117
x+9=√117
x=10.81-9
x=1.82[approximately]
So
width of frame;20cm+1.82+1.82=23.64cm
length: 16+1.82+1.82=19.64cm
Here length is smaller than breadth.
Solve the equation
2x2 + 8x – 1 = 0
by completing the square.
Give your answers correct to 2 decimal places.
Step-by-step explanation:
[tex] {2x}^{2} + 8x - 1 = 0 \\ {x}^{2} + 4x - \frac{1}{2} = 0 \\ {x}^{2} + 4x + {( \frac{1}{4} )}^{2} - \frac{1}{2} - { (\frac{1}{4} )}^{2} = 0 \\ {(x + \frac{1}{4}) }^{2} - \frac{9}{16} = 0 \\ {(x + \frac{1}{4}) }^{2} = \frac{9}{16} \\ x + \frac{1}{4} = ±( \frac{ 3}{4} ) \\ x = \frac{1}{2} \: or \: - 1[/tex]
Answer:
Step-by-step explanation:
divide each term by 2 to begin with x²
x² + 4x - 1/2 = 0
now add 1 to each side
x² + 4x = 1/2
now divide 4 in half and square the result and add it to each side
x² + 4x + 4 = 1/2 + 4
(x + 2)² = 9/2
Seventh grade
>
DD.1 Probability of simple events ZZB
Learn with an example
6
A bag contains 6 marbles, of which 3 are white.
What is the probability that a randomly selected marble will be white?
Write your answer as a fraction or whole number.
P(white)
-
Submit
Answer:
1/2
Step-by-step explanation:
total marbles 6
white marbles 3
white marbles/ total = 3/6
simply 1/2
Step-by-step explanation:
total marbles 6
white marbles 3
white marbles/total =3/6
simply 1/2
Working alone, Wilbur can mop a
warehouse in 11 hours. Perry can mop the
same warehouse in 9 hours. Find how
long it would take them if they worked
together.
It would be 20 hours
Step-by-step explanation:
let me know if I am wrong thxs
What is the quotation -4/5 divided by 2
Answer:
-0.4
Step-by-step explanation:
Emily is solving the following System of equations using Substitution:
y=3x-4
y=2x+1
Her steps are shown below.
Part A
Click on the first step in which Emily made an error.
3x-4=2x+1
5x-4=1
5x=5
x=1
y=3(1)-4=3-4=-1
(1,-1)
Part B
Explain what Emily did wrong and then what she should have done to make sure it was the correct answer.
Answer:
Emily is solving the following system of equations using substitution:
y = 3x - 4
y = 2x + 1
Part A:
After substituting y's values:
3x - 4 = 2x + 1
What she did:
3x - 4 = 2x + 1
3x + 2x - 4 = 1
5x - 4 = 1
What she should have done:
3x - 4 = 2x + 1
3x - 2x - 4 = 1
x - 4 = 1
Part B:
This rule has not been followed: Sign changes when numbers shift from left to right of ' = 'sign.
Emily did not changed the sign of the number, 2x from + 2x to - 2x when it was moved from the right side to the left.
[tex][/tex]
What is the quotient of 1.44 x 10°8and 6.0 x 105 expressed in scientific notation?
Delta math
Answer:
2.4 x 10²
Step-by-step explanation:
1.44/6 x 10^8-5 = .24 x 10³ which is 240
Find the sum of 567.20, 890 & 12.901
Answer:
Use a calculator
Step-by-step explanation:
Step-by-step explanation:
567.20+890+12.9011470.101stay safe healthy and happy.
What angle is this? A: Adjacent. B: Vertical. C: Complementary. D: Supplementary.
Please help!!
Answer the question below
Answer:
B
Step-by-step explanation:
a=25
b=1/5
c=1
d=25
Please help me
can u explain how to do this
Answer:
x=41
Step-by-step explanation:
so since this is a right triangle you can use the Pythagorean Theorem to find the missing side. the two sides you know are 'a' and 'b' and the missing side is 'c'. the theorem says that:
a^2+b^2=c^2
so:
9^2 +40^2=c^2
solve for the exponents:
81 +1600=c^2
1681=c^2
and now, since 1681 is the missing side's length squared, we must find the square root of 1681, which is 41
hope this helps :)
find the simple interest on Birr 700 at 12% rate for 3 months
Answer:
252
Step-by-step explanation:
700 mutliply by 12 divided by 100 is equall to 8484multiply by 3 is equall to 252Rick has a printer that can print a job in 8 minutes. When he uses his son's smaller printer at the same time, he can complete the same job in 6 minutes. How long does it take his son's printer to complete the job by itself? (In minutes.)
Answer:
maybe 2 minutes?
Step-by-step explanation:
not sure im so sorry!
thelearningodyssey.com/gatekeeper.aspx?INTERNAL=SESSION
Send Message
Even if Tom walks
of a mile more than
of the distance he walks to
school every day, the result is still less than
of a mile. How far does
10
Tom walk to school every day?
Answer:
Ok
Explanation:
A package if sugar cubes has a length of 7 cm a height 3 cm and a with of 12 cm what is the volume of the pagage
Answer:
252 cm^3
Step-by-step explanation:
The volume of a rectangular prism is denoted by the formula:
V = lwh
We can substitute in the values to get:
V = 7 x 12 x 3
V = 252 cm^3
please help! picture attached
Answer:
you on iready?
Step-by-step explanation:
Answer:
Can you reattac the picture because I can’t see it then I will be able to help u
Step-by-step explanation:
pls help!!! and no links :)
Answer:
The surface area of the parallelogram is;
2x^3 -6x^2 - 14x +24 squared centimeters
Step-by-step explanation:
To get the area of the parallelogram, we need to multiply the base length of the parallelogram by the height of the parallelogram
We have this as follows;
(x-4)(2x^2+2x-6)
= x(2x^2 + 2x-6) -4(2x^2 + 2x-6)
= 2x^3 + 2x^2 - 6x -8x^2 -8x + 24
= 2x^3 +2x^2 -8x^2 -6x-8x+24
= 2x^3 -6x^2 - 14x +24
Use the box method to distribute and simplify (6x – 4)(-x^2+ 2x – 3). Drag and
drop the terms to the correct locations of the table.
(6x-4)(-x^2+2x-3)
Answer:
for the empty box in the -4 column put -8 and for the empty box in the 6x column put -18
Nina purchased 4 pounds of strawberries for a total of $6.40.How much did she pay for one pound of strawberries?
Answer:
1.6$
Step-by-step explanation:
6.4/4=1.6
Math math math math help
Answer:
The answer is B.
Step-by-step explanation:
You simply just simplify the expression. When you do this you get x to the third, 2x squared, and 4x. I hope this helps!!
Answer:
B
Step-by-step explanation:
x*x*x=x^3 (x cubed)
x*x=x^2 (x squared)
We CAN'T add up x's here.
They're from different families.
So, B is correct:)
The mean age of 6 women in an office is 24 years old.
The mean age of 9 men in an office is 27 years old.
What is the mean age (nearest year) of all the people in the office?
Answer:
26
Step-by-step explanation:
Jackie had her hair done and gave her stylist a 20% tip. Her haircut and color was $120.
Answer:
She gave her stylist a 24 dollar tip.
;p
PLEASE HELP ME, IM TIMED, ILL GIVE BRAINLIEST AND 50 POINTS
i can't see the 4th option but from what i can see, i'd say 20 (b).
i didn't do math for this, i just used context clues.
the hypotenuse is always longer than either of the sides, so if the hypotenuse is 29, then the only logical solution is 20 feet. every other option is >29.
Answer:
Hello! answer: 20 feet
Step-by-step explanation:
29 × 29 = 841 21 × 21 = 441 841 - 441 = 400 √400 = 20 20 × 20 = 400 therefore 20 is the answer Hope that helps!
What are the ways to determine if a relation is a function? Select EACH correct
answer.
Answer:
Step-by-step explanation:
One-sixth of a certain number is four more
than one-twelfth the number. Find the number. a. 6 b. 18 C. 36 d. 48
let number be x
1/6x - 1/12x= 4
1/12x=4
cross multiply
x= 12 x 4
x= 48
If one-sixth of a certain number is four more than one-twelfth the number, the required number will be 48.
Let the unknown number be 'a'
One-sixth of the number is expressed as 1/6 a ..... 1
One-twelfth the number is also expressed as 1/12 a
Four more than one-twelfth the number will be written as:
1/12 a + 4 .... 2
Equating 1 and 2 will give:
1/6 a = 1/12 a + 4
a/6 = a/12 + 4
Collect the like terms
[tex]\frac{a}{6} - \frac{a}{12} = 4[/tex]
Find the LCM
[tex]\frac{2a-a}{12} = 4\\\frac{a}{12} = 4[/tex]
Cross multiply
a = 12×4
a = 48
This shows that the required number is 48
Learn more on equations here: https://brainly.com/question/14034270
HELP! WILL MARK BRAINLIST!!!!!!
Identify the initial conditions y(0) and y'(0) for the vertical motion of an object, if the object is thrown downward at a velocity of 6 m/s from a height of 30m. (take the origin to be on the ground)
Answer:
The right solution is "y(0) = 30 m" and "y'(0) = -6 m/s²".
Step-by-step explanation:
Given,
Velocity,
u = -6 m/s
Height,
h = 30 m
Now,
By using shifting of origin, we get
⇒ [tex](y-30)=-6t+\frac{1}{2}(-9.8)t^2[/tex]
[tex]y-30=-6t-4.9t^2[/tex]
[tex]y=30-6t-4.9t^2[/tex]
hence,
The value of y(0) is:
y(0) = [tex]30-0-0[/tex]
= [tex]30 \ m[/tex]
The value of y'(0) is:
y'(t) = [tex]-6-9.8t[/tex]
y'(0) = [tex]-6 \ m/s^2[/tex]
Write as a polynomial - \dfrac{ 2 }{ 7 } { a }^{ 2 } { y }^{ 7 } \left( 5a { y }^{ 2 } - \dfrac{ 1 }{ 2 } { a }^{ 2 } y- \dfrac{ 5 }{ 6 } { a }^{ 3 } \right)
Answer:
[tex]\frac{10}{7}\cdot a^{3}\cdot y^{4} - \frac{1}{7}\cdot a^{4}\cdot y^{3} - \frac{5}{21}\cdot a^5\cdot y^{2}}[/tex]
Step-by-step explanation:
According to the statement, we have the algebraic equation[tex]\frac{2}{7}\cdot {a^{2}\cdot y^{2}}\cdot \left(5\cdot a\cdot y^{2} - \frac{1}{2}\cdot {a}^{2}\cdot y - \frac{5}{6}\cdot a^{3}\right)[/tex] and we must to rewrite it as a polynomial. Since there are two variables: [tex]a[/tex], [tex]y[/tex], we must observe the following definition of polynomial:
[tex]p(a, y) = \Sigma\limits_{i = 0}^{n} c_{i}\cdot a^{i}\cdot y^{n-i}[/tex] (1)
Where:
[tex]i[/tex] - Index.
[tex]c_{i}[/tex] - i-th Coefficient of the polynomial.
[tex]n[/tex] - Grade of the polynomial.
By means of algebraic handling, we have the following result:
1) [tex]\frac{2}{7}\cdot {a^{2}\cdot y^{2}}\cdot \left(5\cdot a\cdot y^{2} - \frac{1}{2}\cdot {a}^{2}\cdot y - \frac{5}{6}\cdot a^{3}\right)[/tex] Given
2) [tex]\left(\frac{2}{7}\cdot a^{2}\cdot y^{2} \right)\cdot \left(5\cdot a\cdot y^{2}\right) + \left(\frac{2}{7}\cdot a^{2}\cdot y^{2} \right) \cdot \left(-\frac{1}{2}\cdot a^{2}\cdot y \right) + \left(\frac{2}{7}\cdot a^{2}\cdot y^{2} \right)\cdot \left(-\frac{5}{6}\cdot a^{3}\right)[/tex] Associative and distributive properties/[tex](-a)\cdot b = -a\cdot b[/tex]
3) [tex]\frac{10}{7}\cdot a^{3}\cdot y^{4} - \frac{1}{7}\cdot a^{4}\cdot y^{3} - \frac{5}{21}\cdot a^5\cdot y^{2}}[/tex] Associative and commutative properties/[tex]\frac{a}{b}\times \frac{c}{d} = \frac{a\cdot c}{b\cdot d}[/tex]/[tex](-a)\cdot b = -a\cdot b[/tex]/Definition of subtraction/[tex]\frac{a\cdot c}{b\cdot c} = \frac{a}{b}[/tex]/Result
A survey of Lakeview High School students found that 72% of the students had eaten breakfast that morning. If two students are chosen at random from a group of 100 students, what is the probability that at least one of them did not eat breakfast that morning?
Answer:
4.26 * 10^-12
Step-by-step explanation:
Usibg the binomial probability relation :
P(x =x) = nCx * p^x * q^(n-x)
Probability of success = probability of not eating = 1 - 0.72 = 0.28
p = 0.28
q = 1 - p = 0.72
Probability that atleast one out of 2 chosen did not eat breakfast :
P(x ≥ 1) = p(x = 1) + p(x = 2)
P(x ≥ 1) = (100C1 * 0.28^1 * 0.72^99) + (100C2 * 0.28^2 * 0.72^98)
= 4.26 * 10^-12
The graph of a linear function is shown on the grid.
Which equation is best represented by this graph?
Answer:
A
Step-by-step explanation:
Explain how changes in the dimensions of a cube dimensions affect the volume of a cube. Be specific, explaining how much the volume will change with each increase of 1 unit on the side lengths. Please give a clear explanation!
Answer:
When the dimensions of the shape, such as radius, height, or length change, both surface area and volume also change. However, the volume of the object always changes more than the surface area for the same change in dimensions.