Answer:
40
Step-by-step explanation:
So square A has a side of 4, therefore its area is 16 because you square the side length.
Square B has a side of 2 times Square A's side. So Square B has sidelength 8 as 4*2 = 8.
If Square B has side length 8, it has an area of 64.
The average is found by adding the two area and then dividing by 2. So,
64 + 16 = 80
80/2 = 40
Use Pythagoras to find the height and hence, the area of the triangle
below. Give height to 1 decimal place and area to the nearest whole. Write
answer in format: h= A= *
20 mm
Val
Answer:
h=17.3 A=173
Step-by-step explanation:
Calculator
Answer:
height = 17.3 mm
area = 173 mm²
Step-by-step explanation:
all three sides are of the same length (20 mm).
so, the height actually splits the baseline in half
(2 × 10 mm) while hitting it at a 90 degree angle.
so, we use Pythagoras, where the full side opposite of this 90 degree angle is c (Hypotenuse), the height of the main triangle is one side, and half of the baseline is the other side.
c² = a² + b²
20² = 10² + height²
400 = 100 + height²
300 = height²
height = 17.3 mm
the area of the main triangle is baseline (20) times height divided by 2.
so,
At = 20×17.3/2 = 10×17.3 = 173 mm²
[tex]\frac{1}{5} x + \frac{4}{5} = \frac{8}{5}[/tex]
Answer:
x = 4
Step-by-step explanation:
1/5x + 4/5 = 8/5
Multiply each side by 5 to get rid of the fractions
5(1/5x + 4/5) = 8/5 *5
x+4 = 8
Subtract 4 from each side
x+4-4 = 8-4
x = 4
The average age of a preschool class is 4.5 years old. If there is one 3-year-old, five 5-year-olds, and two other children both of the same age, what is the age, in years, of the other two children?
Answer:
3.1
Step-by-step explanation:
5 x5 =25
25+3=28
the other children are 4 years old
A group of neighbors is holding an end of summer block party. They buy ppp packs of hot dogs, with 888 hot dogs in each pack. All together, they have 565656 hot dogs for the party.
Write an equation to describe this situation.
How many packs of hot dogs did the neighbors buy?
Answer:
565656÷8=p
So the answer is 637:D
What are the solutions to the equation StartFraction w Over 2 w minus 3 EndFraction = StartFraction 4 Over w EndFraction? w = –6 and w = –2 w = 0, w = 2, and w = 6 w = 0 and w = Three-halves w = 2 and w = 6
Answer:
Hope it will helps you
.
.
Answer:
and w = –2 w = 0, w = 2, and w = 6 w = 0 and w = Three-halves w = 2 and w = 6
hope it's help you...!!!
#rishu
Factor the polynomial expression 4x3 - 4.
==================================================
Work Shown:
4x^3 - 4
4(x^3 - 1)
4(x - 1)(x^2 + x + 1)
In the last step, I used the difference of cubes factoring formula which is
a^3 - b^3 = (a - b)(a^2 + ab + b^2)
HELPPPPPP please guyss
The graph of the equation
Answer:
Step-by-step explanation:
This equation has a vertical asymptote at x = -2 and a horizontal asymptote at y = 1. This is stuff you should know about rational equations as you learn about them. The vertical asymptote serves as the locked gate or really high wall that the graph cannot go through nor can it go around or over or under. The graph will never cross through the VA. The horizontal asymptote is a horizontal line, y = 1, that reveals the graph's end behavior. So picture this:
We have an x/y coordinate plane. There is a vertical asymptote at x = -2 and a horizontal line at y = 1. This graph, because it cannot go through the vertical asymptote, is "split" into 2 parts, basically. The left "part" comes in along the horizontal asymptote from negative infinity, almost touching it but not quite, and when it reaches x = -2, it drops along the vertical asymptote, almost touching it but not quite and goes down into negative infinity. The right "part" of the graph comes down from positive infinity along the vertical asymptote, almost touching it but not quite, and when it reaches y = 1, it curves along that line off into positive infinity.
Belinda is thinking about buying a house for $179,000. The table below shows the projected value of two different houses for three years: Number of years 1 2 3 House 1 (value in dollars) 186,160 193,606.40 201,350.66 House 2 (value in dollars) 190,000 201,000 212,000 Part A: What type of function, linear or exponential, can be used to describe the value of each of the houses after a fixed number of years? Explain your answer. (2 points) Part B: Write one function for each house to describe the value of the house f(x), in dollars, after x years. (4 points) Part C: Belinda wants to purchase a house that would have the greatest value in 30 years. Will there be any significant difference in the value of either house after 30 years? Explain your answer, and show the value of each house after 30 years. (4 points)
Answer:
A) both functions are linear
B) f(x) = 7446.4x + 178713.6 and f(x) = 11000x + 179000
C) House 2 will value $106894.4 more than house 1.
Step-by-step explanation:
A) Value Increase from year 1 to year 2:
House 1: 193,606.40 - 186,160 = 7446.4
House 2: 201,000 - 190,000 = 11000
Value Increase from year 2 to year 3:
House 1: 201,350.66 - 193,606.40 = 7744.26
House 2: 212,000 - 201,000 = 11000
This means that a constant increament in x variable gives a constant increament in both houses vales. Then, both functions are linear.
B) The slope is the same as the value increment from one year to the next one.
slope (m) of House 1: 7446.4
slope (m) of House 2: 11000
General formula of a line:
f(x) = mx+b
Replacing with a known point:
House 1
186,160 = 7446.4(1) + b
b = 186,160 - 7446.4 = 178713.6
equation: f(x) = 7446.4x + 178713.6
House 2
190,000 = 11000(1) + b
b = 190,000 - 11000 = 179000
equation: f(x) = 11000x + 179000
C) Replacing x = 30 into each equaiton:
Value of House 1 after 30 years
f(x) = 7446.4(30) + 178713.6 = 402105.6
Value of House 2 after 30 years
f(30) = 11000(30) + 179000 = 509000
Then, house 2 will value 509000 - 402105.6 = $106894.4 more than house 1.
please help, I'm so confused how to-do this
Answer:
Step-by-step explanation:
use the quadratic formula : [tex]x = \frac{ -b \pm \sqrt{b^2 - 4ac}}{2a}[/tex], where ax^2+bx+c=0
[tex]y = \frac{ -(-20) \pm \sqrt{(-20)^2 - 4(1)(50)}}{2(1)}[/tex]
[tex]y = \frac{ 20 \pm \sqrt{400 - 200}}{2}[/tex]
[tex]y = \frac{ 20 \pm \sqrt{200}}{2}[/tex]
y = 17.07106~ or 2.928932~
25 points please help me
Answer:
I can help you with C and I tis non-linear because to make it linear it needs to be a straight line and shouldn't have any curves.
Step-by-step explanation:
Identify the number as prime, composite or neither. If the number is composite, write it as the product of prime
factors.
18
Answer:
composite number
prime factors={2,3}
factors of 18={1,2,3,6,9,18}
❏ Hello there! ❏
This number is composite.
Prime numbers have only two factors.
An example of a prime number is 5 (it's divisible by itself and 1)
Every prime number is divisible by itself and 1 (only these two numbers)
Composite numbers, however, have 3 or more factors.
18 has more than 3 factors, therefore, it's composite.
Product of prime factors:
2*3*3
2 is prime, because it's divisible by itself and 1
3 is prime as well
Hope it helps you!
~Just a cheerful gal
#CarryOnLearning
Answered by
[tex]-SilentNature -[/tex]
if three less than one half a number is equal to one-third of the same number, find the number
Answer: The number would be 18
Step-by-step explanation:
18/2=9 9-3=6 6*3=18
The equation be (x/2) - 3 = x/3 then, the number of x = 18.
How to estimate the value of x?To estimate the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to estimate the result.
Let x be the number
From the given information, we get
(x/2) - 3 = x/3
The set all the fractions on one side and constants on another side
(x/2) - (x/3) = 3
Multiply by LCM
3x - 18 = 2x
Add 18 to both sides
3x - 18 + 18 = 2x + 18
simplify
3x = 2x + 18
Subtract 2x from both sides
3x - 2x = 2x + 18 - 2x
x =18.
Therefore, the number is x = 18.
To learn more about algebraic expression refer to:
https://brainly.com/question/4541471
#SPJ2
10000-10000+100000-100000
Answer:
0
Step-by-step explanation:
prove that root 3 + root 7 is irrational
Answer:
√3+√7 is irrational.
Step-by-step explanation:
Let us assume that √3+√7 is rational.
That is , we can find coprimes a and b (b≠0) such that \sqrt{3}+\sqrt{7}=\sqrt{a}{b}
3
+
7
=
a
b
Therefore,
\sqrt{7}=\frac{a}{b}-\sqrt{3}
7
=
b
a
−
3
Squaring on both sides ,we get
7=\frac{a^{2}}{b^{2}}+3-2\times \frac{a}{b}\times \sqrt{3}7=
b
2
a
2
+3−2×
b
a
×
3
Rearranging the terms ,
\begin{gathered}2\times \frac{a}{b}\times \sqrt{3}=\frac{a^{2}}{b^{2}}+3-7\\=\frac{a^{2}}{b^{2}}-4\end{gathered}
2×
b
a
×
3
=
b
2
a
2
+3−7
=
b
2
a
2
−4
\implies 2\times \frac{a}{b}\times \sqrt{3}=\frac{a^{2}-4b^{2}}{b^{2}}⟹2×
b
a
×
3
=
b
2
a
2
−4b
2
\begin{gathered}\implies \sqrt{3}=\frac{a^{2}-4b^{2}}{b^{2}}\times \frac{b}{2a}\\=\frac{a^{2}-4b^{2}}{2ab}\end{gathered}
⟹
3
=
b
2
a
2
−4b
2
×
2a
b
=
2ab
a
2
−4b
2
Since, a and b are integers , \frac{(a^{2}-4b^{2})}{2ab}
2ab
(a
2
−4b
2
)
is rational ,and so √3 also rational.
But this contradicts the fact that √3 is irrational.
This contradiction has arisen because of our incorrect assumption that √3+√7 is rational.
Hence, √3+√7 is irrational.
Translate this phrase into an algebraic expression. Five more than the product of 8 and Vanessa's savings Use the variable v to represent Vanessa's savings.
Step-by-step explanation:
so, what's the difficulty ?
the product of two things means a multiplication. something times something else.
the product of 8 and Vanessa's savings is therefore expressed as ("×" is the multiplication symbol)
8 × v
and five more than that means just to add 5 to that.
so, in total, we have
8 × v + 5
remember that multiplications and divisions must be executed before any +/- operations (except for any brackets telling us otherwise).
Graph the following lines
Describe fully the single transformation that maps shape A onto shape B.
B is an upside down image of A and is 2 units below A.
The image of A is mirrored across the y axis at y = 2.
Answer: A was mirrored across y= 2 to form B.
Can you guys helppppppppppppp
Step-by-step explanation:
to find this angle you can use the sin ratio seeing that the opposite has been given which is 35 and the hypotenuse which is 48.so the solution will be
sin?=opposite/hypotenuse
sin?=35/48
sin?=0.729
?=sin inverse of 0.729
?=46.8 rounded off to 47°
I hope this helps
Hi
in application of sinus formula : ( must learn your trigonimetric formulas by heart !)
value of ? is sin^(-1) = (35/48) = 46,8. so 47 when rounded to the nearest degree
Can someone help me out
Answer:
75.7
Step-by-step explanation:
Area of the sector,
17²×π×30/360
= 289π/12
= 75.7 (rounded to the nearest tenth)
Answered by GAUTHMATH
Can someone please help?
Answer:
1.
C. 6561 is the answer that the table represents
Answer:
B
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is
[tex]\frac{f(b)-f(a)}{b-a}[/tex]
Here [ a, b ] = [ 8, 9 ] , then
Continuing the table from x = 6 , multiplying values of y by 3
x y
6 729
7 2187
8 6561
9 19683
f(b) = f(9) = 19683
f(a) = f(8) = 6561
average rate of change = [tex]\frac{19683-6561}{9-8}[/tex] = [tex]\frac{13122}{1}[/tex] = 13122 → B
Can you guys help me ?
Answer:
6.5
Step-by-step explanation:
you just take whats between the numbers
Given the table below, determine which type of equation best models the data and use a calculator to find an equation of best fit.
Answer:
Hello,
Step-by-step explanation:
Best fit: quadratic y=5.3x²-9.3+6.1
with an total error of 0.4
Simplify (square root 3)(^5 square root 3)
Answer:
[tex]3^{\frac{7}{10} }[/tex]
Step-by-step explanation:
[tex]\sqrt{3} *\sqrt[5]{3}[/tex] = 3^1/2 x 3^1/5 = 3^(1/2 +1/5) = 3^7/10
Answer:
Step-by-step explanation:
Exponent law: [tex]a^{m}*a^{n}=a^{m+n}[/tex]
[tex](\sqrt{3} ) )*(\sqrt[5]{3})= 3^{\frac{1}{2}}*(3^{\frac{1}{5}})\\\\=3^{\frac{1}{2}+\frac{1}{5}}\\\\=3^{\frac{1*5}{2*5}+\frac{1*2}{5*2}}\\\\= 3^{\frac{5}{10}+\frac{2}{10}}\\\\=3^{\frac{5+2}{10}}\\\\=3^{\frac{7}{10}}[/tex]
Click on the sentence that represents the following equation.
m - 15 = 22
A. The difference of a number and 15 is equal to 22.
B. A number plus 15 is equal to 22.
C. A number increased by 15 is equal to 22.
Answer:
A.
Step-by-step explanation:
'The difference' means minus or subtraction. 'plus' and 'increased' are both for addition.
Brainliest please!
Please help
Solve for x
Answer:
X=15 since it the same
Step-by-step explanation:
X is simply equal to 15 because it an equilateral triangle
divide the numbers 1 to 8 by 9. observe the decimal and discuss your observation of non terminating recurring decimal
Answer:
When dividing the numbers 1-8 by 9, we get whatever number was divided as a decimal in repeating form. For example, 2/9 = 0.22222...
Brainliest, please! I'm almost an Ace!
Step-by-step explanation:
1/9 = 0.11111...
2/9 = 0.22222...
3/9 = 0.33333...
4/9 = 0.44444...
5/9 = 0.55555...
6/9 = 0.66666...
7/9 = 0.77777...
8/9 = 0.88888...
please help with number 9!!!
Answer:
2 + sqrt(3)
Step-by-step explanation:
Roots that contain square roots come in pairs
If there is a root that is a- sqrt(b), there is a root that is a+ sqrt(b)
2 -sqrt(3) means there is a root 2 + sqrt(3)
PLEASE HURRY
1 Your dad asks you to go to the grocery store and buy at least 3 pounds of grapes. Write an inequality for this scenario.
Answer:
X ≥ 3
Step-by-step explanation:
Let the number of grapes you'll buy be X, you need to buy at leaF 3 pounds so:
X ≥ 3
Answered by Gauthmath
martin is filling his bathtub, but he left the drain partially open. martin knows that it takes 8 minutes to fill his 40 gallon tub. the equation v = 2.5t represents the volume, v , of water that drains out of the tub in t minutes. if martin leaves the water on, will the tub ever overflow ?
please someone help
Answer:
Yes, it will overflow after 16 minutes..
Step-by-step explanation:
The tub fills at a rate of 5 gallons every minute, but it drains at a rate of 2.5 gallons every minute. This means that it fills twice as fast as it drains, so it would take 16 minutes for the tub to overflow. If you subtract the rate of draining from the rate of filling then the net rate of water going up is 2.5 gallons a minute.
