Answer:
1.62
Step-by-step explanation:
smaller number: y
x - y = 1 x = y+1
xy = 1
(y + 1) * y = 1
y² + y - 1 = 0
y = (-1 ± √(1² - 4 * 1 * -1)) / 2 = (-1 ± √5) / 2
small number: (-1 - √5) / 2 = - 1.62
Give the reason for the last statement in the proof.
Answer:
its the linear par postulate because it talks about linear pairs
Answer:
Linear Pair Postulate
Step-by-step explanation: Complements is wrong because we are not trying to prove that two angles of different figures are congruent and we are given two angles are added up to 180 not 90. Supplements is wrong because we arent trying to prove that two angles of different figures are congruent. Vertical Angles is wrong becuase we dont know if these angles are made by intersecting lines. Linear Pair Postulate states that hat two angles that form a linear pair are supplementary; that is, their measures add up to 180 degrees.
Compose the trapezoid into a parallelogram what is the area of the trapezoid
The area of a trapezoid found by composing a trapezoid into a parallelogram is (. )ft squared
9514 1404 393
Answer:
26 square feet
Step-by-step explanation:
When two of the trapezoids are combined to make a parallelogram, the height remains the same (4 ft), but the width is the sum of the base lengths, 10 ft + 3 ft = 13 ft.
The area of the combined trapezoids is ...
A = bh = (13 ft)(4 ft) = 52 ft^2
The area of one trapezoid is half that, so is ...
A = (52 ft^2)/2 = 26 ft^2 . . . . area of the trapezoid
There are 12 plants in 3 rows. How many plants are in each row? multiplication
show your work
Answer:
4; 12 (refer to explanation)
Step-by-step explanation:
IF: 12 = total plants; 3 = amount of rows then,
12 ÷ 3 = 4
There are 4 plants per row.
IF: 12 = plants per row; 3 = amount of rows,
12 × 3 = 36 total plants; 12 plants in each row.
plss help me with my question
Answer:
1. 45.76, 52.17, 54.2, 55.16, 56.78
2. 9.18, 9.2, 9.98, 10.54, 11.23
3. 0.01, 0.05, 0.067, 0.07, 0.09
4. 33.14, 33.15, 33.45, 33.52, 33.55
5. 3.45, 4.45, 4.9, 5.49, 6.5
Rectangle A, B, C, D is graphed in the coordinate plane. The following are the vertices of the rectangle: A(-6, -4), B(-4,-4), C(-4, -2), and D(-6, -2). What is the perimeter of rectangle A, B, C, D?
Answer:
Perimeter of rectangle ABCD = 9.64 units
Step-by-step explanation:
The formula used to calculate perimeter of rectangle is:
[tex]Perimeter\: of\: rectangle=2(Length+ Width)[/tex]
We know that rectangle has opposite sides same i.e Length (AB and CD) are same and Width( AD and BD) are same
We need to find Length and Width to find the perimeter
So, if we find Length AB and Width AC we can find perimeter
Finding Length AB
The length AB can be found using distance formula: [tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
We have A =(-6,-4) and B(-4,-4)
So, x_1=-6, y_1=-4, x_2=-4, y_2=-4
Putting values in formula and finding length
[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\Distance=\sqrt{(-4-(-6))^2+(-4-(-4))^2}\\Distance=\sqrt{(-4+6)^2+(-4+4)^2}\\Distance=\sqrt{(2)^2+(0)^2}\\Distance=\sqrt{4+0}\\Distance = 2[/tex]
So, Length AB = 2
Now, Finding Width AC
The length AB can be found using distance formula: [tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
We have A =(-6,-4) and C(-4,-2)
So, x_1=-6, y_1=-4, x_2=-4, y_2=-2
Putting values in formula and finding length
[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\Distance=\sqrt{(-6-(-4))^2+(-4-(-2))^2}\\Distance=\sqrt{(-6+4)^2+(-4+2)^2}\\Distance=\sqrt{(-2)^2+(-2)^2}\\Distance=\sqrt{4+4}\\Distance = \sqrt{8}\\Distance=2.82[/tex]
So, Width AD = 2.82
Now, We have Length = 2 and Width = 2.82
Finding perimeter of rectangle
[tex]Perimeter\: of\: rectangle=2(Length+ Width)\\Perimeter\: of\: rectangle=2(2+ 2.82)\\Perimeter\: of\: rectangle=2(4.82)\\Perimeter\: of\: rectangle=9.64[/tex]
So, Perimeter of rectangle ABCD = 9.64 units
what are the angles for a 9 sided plane figure?
Answer:
140...........
Step-by-step explanation:
plz make me brainliest
Answer:
A nonagon is also called enneagon, which is derived from a Greek word called enneagonon, which means nine corners. The first use of the word nonagon dates back to the early 17th century, and has a Latin prefix (nona) and a Greek suffix (gon), making it a polygon with nine sides and nine angles.
Please help if you know how to do the base angle theorem I could really use some help
Answer:
x = 22°, y = 70°
Step-by-step explanation:
Isosceles Triangles
The base angles of an isosceles triangle are those formed by the base and one leg of the triangle.
On the other side, the base angles theorem converse states if two angles in a triangle are congruent, then the sides opposite those angles are also congruent.
We are given an isosceles triangle with base angles 3x-11 and 2x+11. Applying the theorem as explained above:
3x - 11 = 2x + 11
Subtracting 2x:
x - 11 = 11
Adding 11:
x = 22
The base angles have a measure of
3x - 11 = 3*22 - 11 = 55°
Thus, the remaining angle of the triangle is:
y = 180° - 2*55° = 180° - 110° = 70°
x = 22°, y = 70°
The hanger image below represents a balanced equation.
с
12
с
с
Write an equation to represent the image.
Answer: 12=4c
Step-by-step explanation:
The required simplified value of c in the given expression is c = 3.
What is simplification?
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
What is the equation?The equation is the values of two expressions that are equal.
Here,
From the figure, we have to balance the equation,
So,
12 = c +c +c +c
4c = 12
c = 3
Thus, the required simplified value of c in the given expression is c = 3.
Learn more about simplification here:
https://brainly.com/question/12501526
#SPJ2
The diagram show a 5cm x 6cm x 7cm cuboid pls help you
Answer:
d ≈ 10.5
Step-by-step explanation:
The formula for the diagonal of a retangular prism (cuboid) is
[tex]d=\sqrt{l^2+w^2+h^2}[/tex]
1.) Plug in all the values for l, w, and h
[tex]d=\sqrt{5^2+6^2+7^2}[/tex]
2.) simplify by squaring the terms inside the square root
5 * 5 = 25
6 * 6 = 36
7 * 7 = 49
[tex]d=\sqrt{25+36+49}[/tex]
3.) Add the terms
[tex]d=\sqrt{110}[/tex]
4.) Simplify
[tex]d = 10.488[/tex]
5.) Round to one decimal place
d ≈ 10.5
((x^(3)-2x^(2)-5x+6))/((x-1))
Answer:
Hope this helps! :D
I need help doing this... I’m totally lost
Answer:
[tex]-(a+1\frac{3}{4}b)[/tex]
Step-by-step explanation:
Perimeter of a polygon = Sum of the measures of all sides of the polygon
For the given trapezoid,
Perimeter = [tex]1\frac{1}{2}a+1\frac{1}{2}b+1\frac{1}{2}a+2\frac{3}{4}b[/tex]
By combining similar terms,
Perimeter = [tex](1\frac{1}{2}+1\frac{1}{2})a+(1\frac{1}{2}+2\frac{3}{4})b[/tex]
= [tex](1+\frac{1}{2}+1+\frac{1}{2})a+(1+\frac{1}{2}+2+\frac{3}{4})b[/tex]
= (2 + 1)a + [tex](3+\frac{1}{2}+\frac{3}{4})b[/tex]
= 3a + [tex](3+\frac{2}{4}+ \frac{3}{4})b[/tex]
= 3a + [tex](3+\frac{5}{4})b[/tex]
= 3a + [tex](3+1+\frac{1}{4})b[/tex]
= 3a + [tex]4\frac{1}{4}b[/tex]
For rectangle,
Perimeter = 2(Length + Width)
= 2(2a + 3b)
Difference between the perimeter of trapezoid and rectangle,
= (3a + [tex]4\frac{1}{4}b[/tex]) - 2(2a + 3b)
= (3a - 4a) + ([tex]4\frac{1}{4}b[/tex] - 6b)
= -a + [tex](4+\frac{1}{4}-6)b[/tex]
= -a + [tex](\frac{1}{4}-2)b[/tex]
= -a + [tex](\frac{1}{4}-\frac{8}{4})b[/tex]
= -a - [tex]\frac{7}{4}b[/tex]
= [tex]-(a+1\frac{3}{4}b)[/tex]
What is – 10 + (-3/4)?
Sonny has entered a reading contest at the local library. After reading two books, he has read 396000 words of text. After five books, he has read 990000 words of text. Write a linear function in slope-intercept form to model his progress where
x is the number of books read and y is the total number of words read.
y= __________________
How many books will he need to read to reach a total of 10,000,000 words?
___________________
Answer:
Please check the expalantion.
Step-by-step explanation:
Let
x is the number of books ready is the total number of words readGiven that:
After reading two books, he has read 396000 words of text.
Thus, we get the point (2, 396000).After five books, he has read 990000 words of text.
Thus, we get the point (5, 990000).As the function is linear, so we take the points
(2, 396000)(5, 990000)Determining the slope between (2, 396000) and (5, 990000)
(x₁, y₁) = (2, 396000)
(x₂, y₂) = (5, 990000)
Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [990000 - 396000] / [5 - 2]
= 594000 / 3
= 198000
Thus, the slope of the line = m = 198000
substituting the point (2, 396000) and m = 198000 in the slope-intercept form of the linear equation to determine the y-intercept
y = mx+b
396000 = 198000(2) + b
flipe the equation
198000(2) + b = 396000
396000 + b = 396000
subtracting 396000 from both sides
396000 + b - 396000 = 396000 - 396000
b = 0
now substituting b = 0 and m = 198000 in the slope-intercept form of the linear equation to determine the y-intercept
y = mx+b
y = 198000x + 0
y = 198000x
Therefore, a linear function in slope-intercept form to model his progress is:
y = 198000x
Part b)
How many books will he need to read to reach a total of 10,000,000 words?
As we have already determined a linear function in slope-intercept form to model his progress.
y = 198000x
substituting y = 10,000,000 in the equation
y = 198000x
10,000,000 = 198000x
flip the equation
198000x = 10,000,000
dividing the both equation by 198000
198000x/198000 = 10,000,000/198000
x = 50.5
Thus, Sonny will need to read 50.5 books to read to reach a total of 10,000,000 words.
please help! match the graph to its equation
Answer:i need the same answer
Step-by-step explanation:
please help it’s due soon i’ll give brainlist
What is 4/7 x 4
Helppppp
Answer: 2 2/7
Step-by-step explanation:Make 4 to a fraction which is 4/1.And now you multiply 4/7 by 4/1 .ANd when you mutliply them together you get 16/7.Lastly,you change 16/7 to a mixed number which is 2 2/7.
Claudia and her sister enjoyed a special dinner in a restaurant, and the bill was $51.48. If she leaves
$6.69 for the server as her tip, what percent tip did she leave?
Answer:
Step-by-step explanation:
if the bill was 51.48
and the tip 6.69
51.48/6.69=100/x where x= the % tip
x=(6.69*100)/51.48=13
x=13% tip
9514 1404 393
Answer:
13%
Step-by-step explanation:
The tip percentage is the ratio of the tip to the bill, converted to a percent.
tip/bill × 100%
= $6.69/$51.48 × 100% ≈ 12.995% ≈ 13%
Claudia left a 13% tip.
What is the prime factorazation of 30??????????
Answer:
2 • 3 • 5
(30 is not a prime number.)
(Type whole numbers or decimals
Answer:
.5, 5, 8.5
Step-by-step explanation:
Answer:
Above 1 would be .5
above 10 would be 5
and above 17 would be 8.5
Step-by-step explanation:
Cindy has a savings account with $7,500 in it that earns 7% simple interest per year.
How much interest, to the nearest cent, will Cindy earn in 2 years? Give your answer in dollars.
Answer:
The interest is $1050 and the amount is $8550.
Step-by-step explanation:
Determine x please.
Answer:
x = 26°
Step-by-step explanation:
3x - 26° = 52°
3x - 26° + 26° = 52° + 26°
3x = 78°
3x : 3 = 78° : 3
x = 26°
Darius has a 6-month loan for $500. He must pay 5.6% annual interest on the loan. Using the formula for simple interest, I = Prt, where I is interest owed, P is the amount borrowed, r is the rate as a decimal, and t is time in years, find the amount of interest owed by Darius after 6 months.
The amount of interest that's owed by Darius after 6 months will be $14
Principal = $500
Rate = 5.6%
Time = 6 months.
Based on the information given, the simple interest will be calculated as:
Simple Interest = PRT/100
Simple Interest = ($500 × 5.6 × 1/2) / 100
Simple Interest = $1400/100
Simple Interest = $14
Therefore, the amount of interest that's owed by Darius after 6 months will be $14
Read related link on:
https://brainly.com/question/20892321
A tightrope walker attaches a cable to the roofs of two adjacent buildings. The cable is 21.5 m long. The angle of inclination of the cable is 12 degrees. The buildings are 21.0 m apart. The shorter building is 10.0 m high. What is the height of the taller building?
Answer:
the height of the taller building is 14.47 m
Step-by-step explanation:
Given the data in the question as illustrated in the image below.
form the image; ( Triangle BDE )
we know that sin∅ i= opposite/hypotenuse
so; sin12° = BE / 21.5
BE = 21.5sin12°
BE = 4.47 m
since, EA = DC = 10 m
BA = BE + EA
BA = 4.47 m + 10 m
BA = 14.47 m
Therefore, the height of the taller building is 14.47 m
The graph shows a transformation of circle M to circle N. Which statement describes the transformation of circle M to circle N?
Answer:
C
Step-by-step explanation:
Got it right on ed 2021
Only two percent of the world has
green eyes. Write 2% as a decimal.
Answer:
0.02
Step-by-step explanation:
Move decimal point two spaces to the left
Need Help ASAP !
Topic is trigonometric ratios.
Answer:
[tex]\cos(T)[/tex] =[tex]\frac{\sqrt{15}}{5}[/tex]
Step-by-step explanation:
Given parameters.
[tex]TU = 4\sqrt 5[/tex]
[tex]SU = 4\sqrt 2[/tex]
[tex]ST = 4\sqrt 3[/tex]
Required
Determine [tex]\cos(T)[/tex]
Reference to [tex]\angle T[/tex], we have:
[tex]Opposite = 4\sqrt 2[/tex]
[tex]Adjacent = 4\sqrt 3[/tex]
[tex]Hypotenuse = 4\sqrt 5[/tex]
Apply trigonometry ratio of cosine
[tex]\cos(T)[/tex] [tex]= \frac{Adjacent}{Hypotenuse}[/tex]
Substitute values for Adjacent and Hypotenuse
[tex]\cos(T)[/tex] [tex]= \frac{4\sqrt 3}{4\sqrt 5}[/tex]
[tex]\cos(T)[/tex] [tex]= \frac{\sqrt 3}{\sqrt 5}[/tex]
Rationalize:
[tex]\cos(T)[/tex] [tex]= \frac{\sqrt 3}{\sqrt 5}*\frac{\sqrt 5}{\sqrt 5}[/tex]
[tex]\cos(T)[/tex] =[tex]\frac{\sqrt{15}}{5}[/tex]
Michael has five different stocks that he watches on a daily basis. The table shows the change in each stock price in dollars at the end of a trading day.
Change in Daily Stock Prices (Dollars)
Stock A
Stock B
Stock C
Stock D
Stock E
–1.5
2.9
Negative one-half
3 and three-fourths
4.6
A number line going from negative 6 to positive 6 in increments of 1.
What is the correct order of the rational numbers in the table from least to greatest? Use the number line to help you.
–1.5, 2.9, Negative one-half, 3 and three-fourths, 4.6
Negative one-half, –1.5, 2.9, 3 and three-fourths, 4.6
–1.5, Negative one-half, 2.9, 3 and three-fourths, 4.6
4.6, 3 and three-fourths, 2.9, Negative one-half, –1.5
Answer:
–1.5, Negative one-half, 2.9, 3 and three-fourths, 4.6 AKA B
Step-by-step explanation:
common sense
Answer:
4.6 = b
Step-by-step explanation:
Evaluate the expression: |10| - 3 × |-2| +5
49
1
-1
9
Answer:
1
Step-by-step explanation:
In this figure, |v| represents the absolute value to 0. For example, |-3| would be 3 because it is 3 spaces from 0.
|10| - 3 × |-2| +5
10 - 3 * 2 + 5
10 - 6 + 5 ^ PEMDAS
-4 + 5
1
Does anyone know this equation and the answer I’m lost
I think it is 4 but im not to sure. Hope u get it right!
In how many ways can 4 books be arranged on a shelf if there are 8 books to choose from
Answer:
70 waysStep-by-step explanation:
4 books out of 8 can be arranged in:
8!/(8-4)!*4! = 8*7*6*5/2*3*4 = 70 waysAnswer:
If 4 books are chosen out of 8 books, they can be arranged as
[tex]C(8,4) = \frac{8}{} C\frac{}{4} = \frac{8!}{4!(8 - 4)!} = \frac{8!}{4 !\times 4!}= 70[/tex]
In 70 ways the books can be arranged.
70 is the right answer.