Step-by-step explanation:
[tex] \frac{x}{6} = \frac{9}{20} \\ [/tex]
[tex]x \times 20 = 9 \times 6[/tex]
[tex]20x = 54[/tex]
[tex]x = \frac{54}{20} \\ [/tex]
[tex]x = 2.7[/tex]
A rectangular patio has a length of 12 1\2 feet and an area of 103 1\8 square feet. What is the width of the patio?
Answer:
8.25 feet
Step-by-step explanation:
to find the width, you divide the area by the length
103 1/8 / 12 1/2 = 8.25
Give brainliest, please!
Hope this helps :)
which function is increasing on the interval (-∞, ∞)
Differentiating each function, we have for all x, unless otherwise indicated,
[tex]h(x) = 2^x - 1 \implies h'(x) = \ln(2) \, 2^x > 0[/tex]
[tex]g(x) = -4 (2^x) \implies g'(x) = -4 \ln(2) \, 2^x < 0[/tex]
[tex]f(x) = -3x+7 \implies f'(x) = -3 < 0[/tex]
[tex]j(x) = x^2 + 8x + 1 \implies j'(x) = 2x + 8 > 0 \text{ only when } x > -4[/tex]
and only h(x) has a strictly positive derivative. (A)
The following table shows the total number of quizzes taken in high school. how many quizzes are taken per week?
Use the Pythagorean Theorem to find the m
14.1
X
X=
14.7
Answer:
x = 4.2
Step-by-step explanation:
14.1² + x² = 14.7²
198.81 + x² = 216.09
216.09 - 198.81 = 17.28
√17.28 = 4.15
x = 4.15
Round to nearest tenth
x = 4.2
Which polygon has 11 sides
Answer:
Hendecagon
Step-by-step explanation:
a hendecagon has 11 sides
Answer:
Hendecagon
Step-by-step explanation:
It has 11 sides, 11 corners, and 11 angles inside the shape that equal to 1620 degrees
Find the angle of depression
from point A to point C.
A
?
C
B
Angle of depression = [?]°
Enter
55°
350 m
The angle of depression is 35 degree in the right angle triangle if the angle BAC is 55 degree.
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We have shown a right-angle triangle in the picture.
In the right angle triangle, ABC
The angle BAC = 55 degree
Angle BAA' = 90 degree
In the figure, the angle of depression = CAA'
= BAA' - BAC
= 90 - 55
= 35 degree
Thus, the angle of depression is 35 degree in the right angle triangle if the angle BAC is 55 degree.
Learn more about trigonometry here:
brainly.com/question/26719838
#SPJ1
A music company offers a loan to buy a drum set for $1800.
-15.25% simple interest
-Equal monthly payment for 4 years.
What is the monthly payment?
The monthly payment is $____
Using it's formula, it is found that the value of the monthly payment for the loan to buy the drum set is of $50.32.
What is the monthly payment formula?It is given by:
[tex]A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}[/tex]
In which:
P is the initial amount.r is the interest rate.n is the number of payments.In this problem, the parameters are given as follows:
P = 1800, r = 0.1525, n = 4 x 12 = 48.
Hence:
r/12 = 0.1525/12 = 0.01270833.
Hence, the monthly payments will be of:
[tex]A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}[/tex]
[tex]A = 1800\frac{0.01270833(1 + 0.01270833)^{48}}{(1 + 0.01270833)^{48} - 1}[/tex]
A = 50.32.
More can be learned about the monthly payment formula at https://brainly.com/question/22846480
#SPJ1
In the discussion board, post the coordinates of the center point and the radius of a circle.
Step-by-step explanation:
coordinates of center is 0,0 there are no hints given to find radius
I need help on this urgently please thank you
Answer:
g(x) = -√(x+6)
Step-by-step explanation:
The inverse of the function y = f(x) can be found by solving for y the relation x = f(y).
__
solve for yx = f(y)
x = y^2 -6
x +6 = y^2 . . . . . . add 6
-√(x +6) = y . . . . . negative square root
The negative root produces y ≤ 0, equivalent to x ≤ 0 for f(x).
The inverse of f is g(x) = -√(x +6).
_____
Additional comment
The graph of a function and its inverse are mirror images of each other across the line y=x. This is shown in the attachment for the f(x) and g(x) in this problem.
The diameter of a circle is m. What is the area
Answer:
[tex] (\frac{{m}^{2} }{4} )\pi[/tex]
Step-by-step explanation:
we can find the radius from the diameter by dividing the diameter by 2 (radius is half the diameter)
the formula for the area of a circle is r²π (with r being radius) but since we must use diameter we have to replace r with (m/2)
this gives us our new formula of (m/2)²π, which simplifies to (m²/4)π
that is the answer
- kan academy advance
Please help to prove parallelogram.
The question requests proof that WV = VR. See the definition of Mathematical proof and the explanation for the proof below.
What is a mathematical proof?Mathematical proof refers to the steps of logical arguments which are given to show that a mathematical statement is true or correct.
What is the proof that WV = VR?Note that SR ║ QT;Reason: This is given. The image is a parallelogram.
Hence, ∠PSR = ∠WVPTherefore if ΔSVR ≅ PVW;
Then WV = VR.
QED.
Learn more about proofs at:
https://brainly.com/question/25927269
#SPJ1
A convex hexagon has exterior angles of 39°, 47°, 42°, 59°, and 64°. What is the measure of an exterior angle at the
sixth vertex?
Answer: [tex]109^{\circ}[/tex]
Step-by-step explanation:
The exterior angles of a polygon add to 360 degrees, so the sixth angle measures [tex]360-39-47-42-59-64=\boxed{109^{\circ}}[/tex]
grapes cost $1.68 a pound. If you buy 2.5 pounds,how much will it cost?
Answer:
Step-by-step explanation:
we know that
Solve for x
so
therefore
The number of pounds of apples is 4.5 and the number of pounds of grapes is 2.5
Which inequality represents the number line: Number line with points marked for eighteen, nineteen, twenty, twenty one, twenty two, twenty three. The twenty two point is marked with an open circle pointing left. x < 22 x ≤ 22 x ≥ 22 x > 22
The inequality which represents this is x ≥ 22 , Option C is the right answer.
What is an Inequality ?When two algebraic expressions are equated using an inequality operator, <, > etc then the expression formed is called Inequality.
IT is given in the question that
There is a number line , with points marked for eighteen, nineteen, twenty, twenty one, twenty two, twenty three.
The twenty two point is marked with an open circle pointing left
The inequality which represents this is
x ≥ 22 , Option C is the right answer.
To know more about Inequality
https://brainly.com/question/20383699
#SPJ1
Which function has a vertex at (2, 6)?
f(x) = 2x21 - 6
f(x) = 2|x2| +6
f(x) = 2x + 2+ 6
f(x) = 2x + 2 - 6
The function f(x) = 2|x – 2| + 6 has a vertex at (2, 6) option second is correct.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a function that has vertex at (2, 6)
The options are:
f(x) = 2|x – 2| – 6
f(x) = 2|x – 2| + 6
f(x) = 2|x + 2| + 6
f(x) = 2|x + 2| – 6
As we know the vertex form of a quadratic function is given by:
f(x) = a(x - h)² + k
Similarly, mod function can be expressed as:
m(x) = a|x - h| + k
Here (h, k) is the vertex of a function.
In the function:
f(x) = 2|x – 2| + 6
The vertex of the function is (2, 6)
Thus, the function f(x) = 2|x – 2| + 6 has a vertex at (2, 6) option second is correct.
Learn more about the function here:
brainly.com/question/5245372
#SPJ1
Given that the expression x³_ ax² + bx+c leaves the same remainder when divided by x + 1 or x-2, find 'a' in terms of 'b'.
Answer:
Hi,
a=b+3
Step-by-step explanation:
[tex]\begin{array}{c||c|c|c|c}&x^3&x^2&x&1\\---&---&---&---&---\\&1&-a&b&c\\x=-1&&-1&a+1&-a-b-1\\---&---&---&---&---\\&1&-a-1&a+b+1&c-a-b-1\\\end{array}[/tex]
[tex]\begin{array}{c||c|c|c|c}&x^3&x^2&x&1\\---&---&---&---&---\\&1&-a&b&c\\x=2&&2&4-2a&2b+8-4a\\---&---&---&---&---\\&1&2-a&b+4-2a&c+2b+8-4a\\\end{array}[/tex]
Thus:
c+2b+8-4a=c-a-b-1
3b-3a=-9
a=b+3
Tomás bought a new car for $41,000. If the value of the car depreciates by 17% each year, determine the value
of his car in 9 years.
This is a means of reducing the cost of a goods or an asset over time. The value of the car after 9 years is approximately $888
DepreciationThis is a means of reducing the cost of a goods or an asset over time.
Mathematically, the cost of goods after a particular year is expressed as:
P(t) = P0e^-rt
Given
P0 = $41000rate r = 17% = 0.17time t = 9 yearsSubstitute
P(17) = 41000r^0.17(9)
P(17) = 4100(0.21653)
P(17) = 887.79
Hence the value of the car after 9 years is approximately $888
Learn more on depreciation here: https://brainly.com/question/1287985
#SPJ1
The Pythagorean theorem can only be used with witch type of triangle
Answer:
Right Triangles
Step-by-step explanation:
what is pemdas? algebra 1
Answer:
p=Parentheses
e=Exponents
m=Multiplication
d=Division
a=Addition
s=Subtraction
its an order of solving a equation
Solve question 11 for me please
Answer:
C
Step-by-step explanation:
-4x+2<6
-4x<4
x<-1
because the sign doesnt have a line under it, it is an open hole
A pie has a diameter of 9 inches. each slice of the pie has a central angle of 45 degrees. What is the area of each slice of pie?
Area of sector
Ø/360×πr²45/360×π(4.5)²1/8×π(20.25)7.95in²option B
Answer:
b
Step-by-step explanation:
The area of a sector is (the angle) over 360 multiplied by pi (radius) squared
This would be 45/360 pi (4.5) squared, resulting in option b.
p and q are complex numbers such that |p|=7√3 and |p+q|=12√2. On what interval must |q| fall on?
The interval where |q| will fall will be[ 12√2−7√3,∞ ).
What are complex numbers?A complex number is an element of a number system that contains the real numbers and a specific element.
In this case, p and q are complex numbers such that |p|=7√3 and |p+q|=12√2. The interval where |q| will fall will be[ 12√2−7√3,∞ ).
Learn more about numbers on:
https://brainly.com/question/251701
#SPJ1
Which statements are true?
Select each correct answer.
All trapezoids are quadrilaterals.
All rhombuses are squares.
All rhombuses are parallelograms.
All quadrilaterals are parallelograms.
Answer:
all rhombuses are parallelograms, all trapezoids are quadrilaterals
Step-by-step explanation:
rhombuses have all equal sides, 2 sets of parallel lines and are a diamond shape. a quadrilateral is a shape with 4 sides (quad means 4) therefore, all rhombuses are parallelograms. we know that all trapezoids have 4 sides, so we can conclude that all trapezoids are quadrilaterals i hope this helped because i know that end of year tests are super hard.
Thank you for your help. The question is in the screenshot
Answer:
Hi,
Step-by-step explanation:
Using the pythagorean theorem , let's calculate the apothem of a side:
a²=26²-10²=57=24²
Area of a side: 24*10*2/2=240 (ft²)
Lateral area=240*4=960(ft²)
Area of the base: 20²=400 (ft²)
Total area=1360(ft²)
Please answer quick. Will mark whoever is first brainliest. The x intercept of the line is either A. (5,0) or B. (10,0) and it’s Y intercept is either A. (0,1/20) or B (0,20)
Answer:#1 A, #2 B
Step-by-step explanation:
Heres the proof
The midterm score of 45 is the decide
The midterm score of 45 is the 3rd decile, meaning that 42% of the Senior High School students scored below this test.
What is a decile?Deciles are a type of percentile that divides data into groups of 10%. That is, each decile comprises 10% of the dataset.
To determine the decile, sort the data from lowest to highest. Now, divide the result by ten. This number reflects the no. of observed values within each decile.
Sorting the data from lowest to highest, we have:
37, 43, 45, 61, 63, 74, 75, 76, 82, 87, 89, 98, 99, 100= 14/10
= 1.4
Thus, each decile contains only a 1.4 score.
Learn more about calculating the decile from a data set here:
https://brainly.com/question/14456734
#SPJ1
Use the long division method to find the result when 2 x 3 + 3 x 2 + 17 x + 8 2x 3 +3x 2 +17x+8 is divided by 2 x + 1 2x+1.
What is the area of the trapezoid shown? The figure is not drawn to scale.
284.31 in.²
303.75 in.²
568.62 in.²
607.5 in.2
The area of the trapezoid is 284.31 square inches
How to determine the area?The area of a trapezoid is:
Area = 0.5 * (Sum of parallel sides) * height
Using the given figure, we have:
Area = 0.5 * (17 + 31.6) * 11.7
Evaluate
Area = 284.31
Hence, the area of the trapezoid is 284.31 square inches
Read more about areas at:
https://brainly.com/question/24487155
#SPJ1
What is the range of function g if g(x) =-2f(x-3)
Answer:
If you entered the function correctly there is not a range
Step-by-step explanation:
Answer: {y|-♾<y<0}
Step-by-step explanation: i’m taking this summer school class
Find the median of the following data : 9, 15, 17, 18,6, 20, 8, 5, 18, 18, 10, 5, 14, 12, 10, 7
Answer:
The median of the data is 12.
Step-by-step explanation:
The median is really just another word for the average. To find that, you add all of the numbers and divide that sum by the number of numbers there are.
9+15+17+18+6+20+8+5+18+18+10+5+14+12+10+7=192
There are 16 numbers in this data set. So, we will divide the sum by 16.
192÷16=12
I hope this helps!! :)