Answer:
10.3923
Step-by-step explanation:
Answer:
6sqrt3
Step-by-step explanation:
To find the area of a square, we simply square the length of its side!
We can represent the length of the side by x; therefore, the area of the square would be x squared, or x^{2}.
Then, we solve!
x^{2} = 108, so we find the square root of 108.
108 = 2^2 * 3^3
So sqrt{2*2*3*3*3}
We can take the 2^2 and 3^2 out of the square root, so outside, it becomes 2 * 3, or 6.
The 3 is still inside the square root, leaving us with 6sqrt3.
Hope that helps!
Emily says she can prove the Pythagorean Theorem using the following diagram. She explains that she can divide the squares on the two shorter sides into grids with equal-sized grid squares. She says she can then rearrange the grid squares to cover the area of the square on the hypotenuse, which proves that the sum of the squares on the two shorter sides equals the square on the hypotenuse.
Is this a valid geometrical proof that a2 + b2 = c2 for all right triangles?
Answer:
The last bit is correct, a2 + b2 = c2 for all right triangles? You do not divide the measurements you can only add up the squares to find the square of the hypotenuse as the sum, and then square root the totaled squares back to a new number. It does not cover the area like the statement said so only the question is true as Pythagoras theorem can be used to find a missing side or to find the missing hypotenuse.
Step-by-step explanation:
Is this a valid geometrical proof that a2 + b2 = c2 for all right triangles?
Answer yes but only for c2 if we area adding.
This is because if we were looking and missing for a smaller side to the triangle measure and was already given the hypotenuse as one measure, then we can subtract either given alternative side would be; c2 - b2 = a2 to find an alternative side we subtract.
and c2- b2 = a2 works the same as c2 -a2 = b2.
None of the above formula finds the area, for the area we would need to multiply to find the height.
A = 1/2 x a x b
We have a different understanding to area
The area of a triangle is 1/2 given by the equation:
AΔ=(1/2)∗(base)∗(height) which is the smae as A= 1/2 x a x b
Eg)
Given: Measurements of A + B In attachment picture.
A = 3 cm
B = 4 cm
What is the area of the right triangle ABC?
Since the base leg of the given triangle is 4 cm, while the height is 3 cm, this gives:
AΔ=(1/2)∗3∗4=6cm2
So to find area we multiply A by 1/2 and multiply that product by the length of B (base).
What is the equation of the line that contains the points (2,6) and (-2,4)
Answer:
y =1 /2 x+ 5
Step-by-step explanation:
Answer:
y=1/2x+5
graph the points and do the change of y over the change of x to get slope
the 5 is y intercept when you connect the two points where the line touches the y axis the y point is the y- intercept
A right angle. A line comes out of the angle to split the angle into 52 degrees and blank.
Melinda has a scrap piece of fabric with one angle measuring 52°. If she needs to find a complementary angle, what angle measure does she need to cut the next piece?
Melinda should cut the piece of fabric at an angle of
°.
Answer:
38
Step-by-step explanation:
90-52=38
Answer: 38
Step-by-step explanation:
i said so
Use the inequality to express the statement in symbols. The population (P) varied from 1000 to 15000 in the rural towns.
PLEASE HELP ME IM IN A FINAL!!!!
Answer:
[tex]1000\leq P\leq 15000[/tex].
Step-by-step explanation:
It is given that the population (P) varied from 1000 to 15000 in the rural towns.
We need to write an inequality which express the statement in symbols.
Variable P represents the population of rural towns.
Since population varied from 1000 to 15000, therefore the value of P must be greater than or equal to 1000 and less than or equal to 15000.
It can be written as
[tex]1000\leq P\leq 15000[/tex]
Therefore, the required inequality is [tex]1000\leq P\leq 15000[/tex].
Suppose that $17,183 is invested at an interest rate of 5.4% per year, compounded continuously. a) Find the exponential function that describes the amount in the account after time t, in years. b) What is the balance after 1 year? 2 years? 5 years? 10 years? c) What is the doubling time?
Answer:
Total = Principal * e ^ (rate * years)
Total = 17,183 * 2.718281828459 ^ (.054 * years)
After 1 year = 18,136.39
After 2 years = 19,142.68
After 5 years = 22,509.12
After 10 years = 29,486.15
We'll use this formula to find the doubling time:
Years = ln (total / principal) / rate
we'll use 200 for total and 100 for principal
Years = ln (200 / 100) / rate
Years = ln (2) / .054
Years = 0.69314718056 / .054
Years = 12.8360588993 Years Doubling Time
Step-by-step explanation:
The question is about continuous compound interest. An initial amount of $17,183 is invested with a 5.4% annual interest rate. An exponential function depicts the amount over time, you find the balance by substituting the values of time into the function, and the doubling time is calculated to be approximately 12.8 years.
Explanation:The subject matter of this question deals with the concept of continuous compound interest in Mathematics. No additional deposits are made, only the principal amount is growing over time at a continuous compound interest. The formula for the balance in a continuously compounding account is given by P(t) = P0*e^(rt), where P0=initial balance, r=annual interest rate (as a decimal), t=time in years, and e=approximately 2.71828. In this case, P0 = $17,183 and r = 5.4% = 0.054.
a) The exponential function that describes the amount in the account after time t is: P(t) = $17,183*e^(0.054t)
b) Using this function, you can substitute the values of t to find the balance after each year, for example, for 1 year, it's P(1) = $17,183*e^(0.054*1) and similarly for 2, 5, and 10 years.
c) Doubling time can be obtained by equating P(t) = 2 * P0, which can be solved to obtain t = ln(2) / r (natural logarithm of 2 divided by the annual interest rate). Hence, it would approximately be 12.8 years.
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Reflect shape A in the y axis
Answer: The shape would be on the same numbers but all positive and would just be looking the to the right.
Step-by-step explanation: So put it on the right side of the line going up and make it look the oppisite way it is now. on the same numbers but positive.
Reflection of an L-shaped object with respect to the y-axis is a horizontal flip resulting in a mirror image with opposite signs
When an L-shaped object is reflected with respect to the y-axis,
It means that every point on the object is reflected across the line that divides the object into two halves, with each half on either side of the y-axis.
This reflection results in the object being flipped horizontally.
The new orientation of the object is a mirror image of the original but with opposite signs.
The reflection of an L-shaped object with respect to the y-axis is an important concept in geometry and is often used in practical applications such as graphic design and architecture.
So the reflection of Figure A in the y-axis is A' which is attached below.
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Which expression correctly shows x6+2x3+1 factored completely over the integers?
a) (x3+1)2
b) (x+1)2(x2−x+1)2
c) (x+1)(x2−x+1)
d) (x2+1)(x4−x2+1)
Answer:
Option a.
Step-by-step explanation:
The given expression is
[tex]x^6+2x^3+1[/tex]
Splitting the middle term, it can be rewritten as
[tex]x^6+x^3+x^3+1[/tex]
[tex](x^6+x^3)+(x^3+1)[/tex]
Taking out GCF fro each parenthesis.
[tex]x^3(x^3+1)+1(x^3+1)[/tex]
[tex](x^3+1)(x^3+1)[/tex]
[tex](x^3+1)^2[/tex]
Therefore, the correct option is a.
PLEASE PLEASE HELP the question is below
Answer:
D)90
Step-by-step explanation:
First you work out 3^4 which is 81.
Then add 9 to it and it becomes 90.
Answer:
D.90
Step-by-step explanation:
3x3x3x3=9x9=81+9=90
Please, I need help!
If a data set is skewed, and most of the data are at the lower end of the data, which is a better measure of center? Explain.
Answer:
median
Step-by-step explanation:
median is not affected by outliers of skewed data, while mean is greatly affected by skewed data. Median is always the best to use when the data is skewed.
Answer:
The median; it is less sensitive to outliers in a data set.
Step-by-step explanation:
Complete the table for the given rule y=5x
Answer:
1
.8
.6
Step-by-step explanation:
solve for p
7/p = 8/9
p=?
Answer:
7 7/8
Step-by-step explanation:
what’s the length of the mid segment of a trapezoid with bases of length 16 and 24
Answer:
20
Step-by-step explanation:
The midsegment of a trapezoid is calculated as
[tex]\frac{sumofbases}{2}[/tex] = [tex]\frac{16+24}{2}[/tex] = [tex]\frac{40}{2}[/tex] = 20
Final answer:
The length of the mid-segment of a trapezoid with bases of length 16 and 24 is 20 units.
Explanation:
The length of the mid-segment of a trapezoid is the average of the lengths of the two bases. To calculate it, you add the lengths of the bases and then divide by 2. Since the bases of the trapezoid in question have lengths of 16 and 24, you would perform the following calculation:
(16 + 24) / 2 = 40 / 2 = 20
Therefore, the length of the mid-segment is 20 units.
Jordan and Carson go to the movie theater and purchase refreshments for their friends.
Jordan spends a total of $25.75 on 1 bag of popcorn and 3 drinks.
Carson spends a total of $81.25 on 4 bags of popcorn and 9 drinks.
Write a system of equations that can be used to find the price of one bag of popcorn and the price of one drink.
Using these equations, determine and state the price of a drink, to the nearest cent.
Answer:
$7.25
Step-by-step explanation:
Let p=popcorn
Let d=drinks
25.75=1p+3d
81.25=4p+9d
p=4
d=7.25
Answer:
$7.25
Step-by-step explanation:
Cost of popcorn: x
Cost of drink: y
x + 3y = 25.75
x = 25.75 - 3y
4x + 9y = 81.25
4(25.75 - 3y) + 9y = 81.25
103 - 12y + 9y = 81.25
3y = 103 - 81.25
3y = 21.75
y = 7.25
x = 25.75 - 3(7.25)
x = 4
PLEASE HELP!!! WILL GIVE FIRST ANSWER BRAINLEST!!!!18 is 1.2% of what number
So the right answer is 1500.
look at the attached picture⤴
Hope it will help you..
Answer:
The answer is 1500
Step-by-step explanation:
1500*0.012=18
Write an equation that is parallel to the equation y= -2x+8 and goes through the point (-3,8)
Answer:
y - 8 = -2(x + 3)
y - 8 = -2x - 6
y = -2x + 2
Step-by-step explanation:
What is the area of a right triangle if the height is 5 and the hypotenuse is 25
a shape is randomly selected from the following quadrilaterals: parallelogram, rhomus, trapaziod, rectangle, square. what is probability that it has 4 congruent sides
Answer:
Step-by-step explanation:
So, it's hard to know if the sides on the parallelogram are equal or not, but both a rhombus and square have four congruent sides, but only a square has four right angles.
So 1/2 shapes fit both parameters. Therefore there is a 50% probability it has four right angles, given that it has four congruent sides.
A window has an actual height of 4.5 feet. If a blue print has a scale of 3 inches = 2 feet. Find the height of the window in the blue print.
Answer:
The height of the window in blue print 6.75 inches.
Step-by-step explanation:
Given that, the actual length of the window is 4.5 feet.
If a blue print has a scale of 3 inches = 2 feet.
The actual length of an object is 2 feet then length of the object in blue print is 3 inches.
Then the actual length of an object is 1 feet then length of the object in blue print is (3÷2) inches =1.5 inches
The height of the window in blue print = (4.5×1.5)= 6.75 inches.
Answer:
6.75 inches
Step-by-step explanation:
triangular prism: V = 42 cm3
base length = 2 cm; base height = 6 cm
What is the height?
Answer:
the explanation is in the picture
don't mind my messy handwriting
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In an isosceles triangle, the longest side measures c units. The other sides of the triangle measure a units. Which equation
can be used to determine if the triangle is a right triangle?
a2=c2
2a2=c2
a4=c2
2a=c
Answer:
b
Step-by-step explanation:
bc both legs have same measurement.
Answer:B
Step-by-step explanation:
Did the test
Which number system BEST describes this set?
{-10, 0, 28/7, 102.9}
A) integers
B) natural numbers
C) rational numbers
D) irrational numbers
Answer:
They're all rational numbers.
Integers: A whole number
Natural numbers: positive integers
Rational numbers: Any integer, positive or negative, including fractions
Irrational numbers: number that cannot be written as a ratio of two integers
PLEASE HELP ME I NEED IT
Answer:
6 weeks
Step-by-step explanation:
4⅙ + ¾w = 5⅔ + ½w
Convert into improper fractions
25/6 + 3w/4 = 17/3 + w/2
3w/4 - w/2 = 17/3 - 25/6
(3w - 2w)/4 = [2(17)-25]/6
w/4 = 9/6
w = 4 × 3/2
w = 6
Durrell ordered Wendy's delivery and paid $10 for 2 hamburgers, which is a rate of $_____ per hamburger?
Answer:
5 dollars per hamburger
Step-by-step explanation:
10 divided by 2
Answer:
It is a rate of $5 per hamburger
Step-by-step explanation:
10-5=5
2 x 5= 10
=5
Find the sum
(2x^3-x-9)+(7x^2-5x-2)
A) 9x^2-6x-11
B)2x^3+7x^2-4x-11
C) 2x^3+7x^2-6x-7
D)2x^3+7x^2-6x-11
Answer:
D)2x^3+7x^2-6x-11
Step-by-step explanation:
(2x^3-x-9)+(7x^2-5x-2) and simplify
into 2x^3+7x^2-6x-11 (steps shown in attachment)
Anybody help? Really hard :/
Answer:
24°
Step-by-step explanation: a flat surface=180° 180-156=24
Answer:
24 °
Step-by-step explanation:
Supplementary angles are two angles that add up to 180°
One angle is 156 so 180-156 gives you the angle of the missing angle. The answer of 180-156 is 24 so therefore, x=24°
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A sample contains 10 pairs of values. Find the critical value for the linear correlation coefficient from Table A-6 corresponding to a 0.01 significance level.
a. 0.684
b. 0.632
c. 0.765
d. 0.798
The closest options provided are c. 0.765 or d. 0.798.
The question involves determining the critical value for the linear correlation coefficient for a sample with 10 pairs of values at a 0.01 significance level. Since the sample size is 10, the degrees of freedom (df) would be calculated as n - 2, which equals 8 (10 - 2 = 8). According to the provided studies and tables of critical values for determining the significance of a correlation coefficient, we reference a critical values table specific to our degrees of freedom and significance level.
At a 0.01 significance level and with 8 degrees of freedom, the corresponding critical value would typically be found in a statistical table designed for this purpose. However, based on the example given in the context, which is using a table with a standard significance level of α = 0.05, we can infer that the critical value for α = 0.01 would be higher, as the significance level is more stringent. None of the provided options (a. 0.684, b. 0.632, c. 0.765, d. 0.798) directly match the information given, but option c. 0.765 or d. 0.798 would typically be closer to a critical value at an α = 0.01 level with 8 degrees of freedom.
A pencil company used 49 grams of rubber to make 7 pencils, which is a rate of grams per pencil?
Answer:
7 grams per pencil
Step-by-step explanation:
49 grams/7 pencils
divided both parts of the fraction by 7 to simplify to the number of grams for just one pencil so you end up with:
7 grams/1 pencil
Triangle ABC and its transformation DEF are shown. What transformation of triangle ABC produced triangle DEF?
A.vertical translation
B.horizontal translation
C.rotation about point A
D.reflection across a vertical line
Answer: a
Step-by-step explanation:
The cereal box shown below is a rectangular prism. the height is 25, the length is 15, the width is 4. find the surface area of the cereal box.
Answer:
1070 (no unit of measurement is given)
Step-by-step explanation:
What we know:
height = 25
length = 15
width = 4
surface area formula: 2(wl+hl+hw)
w = width l = length h = height
2·(4·15+25·15+25·4)=1070
The surface area of the cereal box is 980 square units.
What is a prism?A prism is a three-dimensional object.
There are triangular prism and rectangular prism.
We have,
To find the surface area of a rectangular prism, we need to calculate the area of each of its six faces and add them together.
The formula for the surface area of a rectangular prism is:
Surface area = 2lw + 2lh + 2wh
where l, w, and h are the length, width, and height of the rectangular prism, respectively.
Substituting the given values, we have:
Surface area = 2(15 x 4) + 2(15 x 25) + 2(4 x 25)
Surface area = 30 + 750 + 200
Surface area = 980 square units
Therefore,
The surface area of the cereal box is 980 square units.
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In which of the following was E.W. Marland least successful?
Answer:
In cooperating with government
Step-by-step explanation:
Heavy borrowing by Marland led to financiers obtaining control of stock and ownership of Marland Oil, which then became Continental Oil Company, or Conoco. Marland continued to work for his former company but was made destitute by the Great Depression. He lost his oil empire, attributing his economic woes to lack of government regulation over banking.
i just had this question on an assignment, hope this helps.