Answer:
27 inches squared
Step-by-step explanation:
cut it in half. then you will have the cube and the rectangle
3x3 is 9 and 2x9 is 18
9+18 is 27
Simplify fully 50y3/ 8xy2
Answer:
[tex]\frac{25y}{4x}[/tex]
Step-by-step explanation:
Answer:
Step-by-step explanation:
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1.) Find and compare the population density for Arizona and New York. Round your answers to the nearest whole number.
State Population Land Area (square miles)
Arizona 6,828,065 113,594
New York 19,795,791 47,126
You need to explain your steps in detail.
Answer:
just round them at the end
Step-by-step explanation:
Arizona: 7,278,717
New York 8.419 milion
Siân is saving for a car which costs 11 800 AUD. Find how many years it will take for the value of the investment to reach this value. Round to the nearest year.
Answer:
See explanation
Step-by-step explanation:
The question is incomplete as the invested amount and the interest rate are not given. However, I will give a general method of solving it.
Assume that:
[tex]r = 5\%[/tex] --- interest rate
[tex]PV =9000[/tex] --- Present value or invested amount
To calculate time (in years), we make use of the following formula of future value
[tex]FV = PV(1 + r)^n[/tex]
Where
[tex]FV = 11800[/tex]
So:
[tex]11800 = 9000( 1 + 5\%)^n[/tex]
Divide both sides by 9000
[tex]1.31 = ( 1 + 5\%)^n[/tex]
Take logarithm of both sides
[tex]Log(1.31) = Log(1 + 5\%)^n[/tex]
Apply law of logarithm
[tex]Log(1.31) = nLog(1 + 5\%)[/tex]
Make n the subject
[tex]n = \frac{Log(1.31)}{Log(1 + 5\%)}[/tex]
Express 5% as decimal
[tex]n = \frac{Log(1.31)}{Log(1 + 0.05)}[/tex]
[tex]n = \frac{Log(1.31)}{Log(1.05)}[/tex]
[tex]n = \frac{0.1173}{0.0212}[/tex]
[tex]n \approx 6[/tex]
The time to reach the future value is approximately 6 years.
Use the above explanation to answer your question
Which CANNOT be the third side of a triangle with side lengths 4ft, and 6ft?
5ft
8ft
10ft
2ft
Answer:
2ft
Step-by-step explanation:
2ft is small than the other options.
Find the difference between the the actua
and the estimated values of 55-21
Answer: 34
Step-by-step explanation:
Estimate the perimeter of the figure to the nearest whole number. perimeter: about __ units
Answer:
16
Step-by-step explanation:
3+3+3+3+4=16
(PLEASE HELP)
Given are the lengths of two sides of a triangle.Find the range of lengths for the third side.7 ft,13 ft
A.less than 6 but more than 20
B.more than 20 but less than 6
C.more than 6 but less than 20
Answer:
A.less than 6 but more than 20
27 is 72% of what number?
Answer:
37.5
Step-by-step explanation:
37.5 · 0.72 = 27
Answer:
37.5
Step-by-step explanation:
72%=0.72
0.72x=27
x=27/0.72
x=37.5
In 2015, Macon County had a population of 53,792. The population increases by 2.5% annually. Which function can be used to model the population t years after
2015?
Answer: The answer is B
Step-by-step explanation: I took the test.
please help me
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Answer:
60+60+60= 180
Step-by-step explanation:
all the angles in a triangle should add up to 180
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The new cylinder can has radius of 5cm and a height of 9cm how many square centimeters of aluminum will it take to make this new cylinder can ?
Answer: [tex]282.85\ cm^2[/tex]
Step-by-step explanation:
Given
Radius of cylinder [tex]r=5\ cm[/tex]
The height of the cylinder is [tex]h=9\ cm[/tex]
The surface area of a cylinder is [tex]2\pi rh[/tex]
If only the outer is considered then, the area required is
[tex]\Rightarrow A=2\times \dfrac{22}{7}\times 5\times 9\\\\\Rightarrow A=282.85\ cm^2[/tex]
I need help with 5, find the area, thank you
Which of these r-values represents the weakest correlation?
Answer:
-0.25
Step-by-step explanation:
Which set of decimals are in the correct order from smallest to largest?
A. 0.3,0.34,0.334,3.4
B. 0.34,3.4,0.3,0.334
C. 3.4,0.334,0.3,0.34
D. 0.3,0.334,0.34,3.4
Answer:
A
Step-by-step explanation:
I will give brainliest please help me asap! Simplify the expression. Make sure you have all positive exponents.
Step-by-step explanation:
x^12
.....................................
Please i need help ASAP
What is the range?
Answer:
your range is -9 to positive 5
Step-by-step explanation:
range is how many numbers are in a squence for example i have 1 2 3 so my range is 1-3
write an equation of the line in slope-intercept form of each line given slope and y intercept m=2;b2
Answer:
[tex]y = 2x + 2[/tex]
Step-by-step explanation:
Given
[tex]m = 2[/tex]
[tex]b = 2[/tex]
Required
Write equation in slope intercept form
An equation in slope intercept form is:
[tex]y = mx + b[/tex]
Substitute values for m and b
[tex]y = 2x + 2[/tex]
PLEASE DONT WASTE MY POINTS ITS THE 5TH TIME POSTING
An economist calculates that the cost of living in Westminster is currently $44,000 per year and is increasing by 5% per year. What will the cost of living be in 20 years? Round to the nearest cent.
Given:
Initial cost of living = $44,000
Rate of increase = 5% = 0.05
To find:
The cost of living in 20 years.
Solution:
The exponential growth model is:
[tex]y=a(1+r)^t[/tex]
Where, a is the initial value, r is the growth rate and t is the number of years.
Putting [tex]a=44000,r=0.05, t=20[/tex] in the above model, we get
[tex]y=44000(1+0.05)^{20}[/tex]
[tex]y=44000(1.05)^{20}[/tex]
[tex]y=116745.099026 [/tex]
[tex]y\approx 116745.10 [/tex]
Therefore, the cost of living in 20 years is about $116745.10.
BRAINLIEST TO CORRECT
Answer:
4519.5
Step-by-step explanation:
so sorry if that's not correct.
Insert 3 rational numbers between 1 /4 and 1/3 using mean method
Answer:
13/48, 7/24, and 15/48
Step-by-step explanation:
When we have two numbers A and B (such that A < B), the mean between these numbers is:
mean = (A + B)/2
And we will always have that:
A < mean < B
In this case, we have the numbers 1/4 and 1/3
The mean between these numbers is:
M = (1/4 + 1/3)/2 = (3/12 + 4/12)/2 = (7/12)/2 = 7/24
we know that 7/24 is an integer that is between the numbers 1/4 and 1/3
Now we can take the mean between 1/4 and 7/24
M = (1/4 + 7/24)/2
= (6/24 + 7/24)/2 = (13/24)/2 = 13/48
And we have:
1/4 < 13/48 < 7/24
Now we can find the mean between 7/24 and 1/3:
M = ( 7/24 + 1/3)/2 = (7/24 + 8/24)/2 = (15/24)/2 = 15/48
then:
7/24 < 15/48 < 1/3
Then we can write:
1/4 < 13/48 < 7/24 < 15/48 < 1/3
Then the 3 rational numbers between 1/4 and 1/3 are:
13/48, 7/24, and 15/48
WILL GIVE BRAINLIEST
Answer: A. The compromise allowed California to join the United States as a free state but would allowed slavery in the southwestern territories.
Step-by-step explanation:
As the abolitionist North and the pro-slavery South saw their rivalry intensify with the lobbying by the South that slavery should be allowed in the western territories, Congress decided to pass the compromise of 1850 which was several acts that would calm both sides for the time being.
With this compromise, California was allowed to join the United States as a free state but in return, the Southwestern territories were allowed to decide their slavery status in an election which meant that if the territories so pleased, they could allow slavery in their territories.
A.Supplementary
B.None
C.Complementary
D.Vertical
Answer:
A. the answer is supplementary
write 20.5×10^-5 in standard form. please help
Answer:
the answer is 2.05×10^-4
Please help me i dont understand this
Answer:
209.3
Step-by-step explanation:
V=πr^2h / 3
= 3.14 x 25 x 8 /3
= 209.3
A walking path across a park is represented by the equation y=-4x+10. A new path will be built perpendicular to this path. The paths will intersect at the point (4,-6). Identify the equation that represents the new path. A. y=4x-22 B. y=1/4x-7 C. y=-4x+10 D. y=-1/4x-5
Given:
The equation of a line is
[tex]y=-4x+10[/tex]
A perpendicular line on the given line passes through the point (4,-6).
To find:
The equation of the perpendicular line.
Solution:
We have,
[tex]y=-4x+10[/tex]
On comparing this equation with slope intercept form [tex]y=mx+b[/tex], we get
[tex]m=-4[/tex]
So, the slope of the given line is -4.
We know that the product of slopes of two perpendicular lines is always -1.
[tex]m\times m_1=-1[/tex]
[tex](-4)\times m_1=-1[/tex]
[tex]m_1=\dfrac{-1}{-4}[/tex]
[tex]m_1=\dfrac{1}{4}[/tex]
The slope of the required line is [tex]\dfrac{1}{4}[/tex] and it passes through the point (4,-6). So, the equation of the line is
[tex]y-y_1=m_1(x-x_1)[/tex]
[tex]y-(-6)=\dfrac{1}{4}(x-4)[/tex]
[tex]y+6=\dfrac{1}{4}x-1[/tex]
[tex]y=\dfrac{1}{4}x-1-6[/tex]
[tex]y=\dfrac{1}{4}x-7[/tex]
Therefore, the correct option is B.
Estimate the values to complete the table.
Answer:
Step-by-step explanation:
For angle C,
cos(∠C) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex] = 0.97
sin(∠C) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex] = 0.26
tan(∠C) = [tex]\frac{\text{Adjacent side}}{\text{Adjacent side}}[/tex] = 0.27
Therefore, from the triangle ABC,
cos(∠A) = cos(90° - ∠C)
= sin(∠C)
= 0.26
sin(∠A) = sin(90 - ∠A)
= cos(∠A)
= 0.97
tan(∠A) = [tex]\frac{\text{sinA}}{\text{cosA}}=\frac{0.97}{0.26}[/tex]
= 3.73
Angle [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex] [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex] [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
A 0.26 0.97 3.73
The sum of the measures
of the interior angles of
polygon is 2,880. How
many sides does the
polygon have?
Answer:
pretty sure its 18
Step-by-step explanation:
Find the area of the following shapes.
Area of small rectange = 7 cm × 4 cm = 28 cm sq
Area of bigger rectangle = 4cm×10 cm = 40 cm sq
Area of traingle = 1/2 × 8*3 cm sq = 12 cm sq
total area of polygon = ( 28 + 40 + 12 ) cm sq
area of polygon = 80 cm sq
what is 2+2=? adding letters for extra characters
Answer:
4
Step-by-step explanation: