The diagram shows two shapes A and B. Prove that both of them have equal perimeter.
Answers
Answer:
see explanation
Step-by-step explanation:
Calculate the perimeters by summing the measures of the sides.
Left figure ( starting with base and summing clockwise )
x + 5 + (x - 6) + (y - 5) + 6 + y ( brackets are the measure of the indents )
= x + 5 + x - 6 + y - 5 + 6 + y
= 2x + 2y
Right figure ( starting with base and summing clockwise )
x + 2 + (x - 3) + (y - 2) + 3 + y
= x + 2 + x - 3 + y - 2 + 3 + y
= 2x + 2y
Both figures have perimeters of 2x + 2y cm
Related Questions
Please help me... tysm if you do
Answers
Answer:
The answer is B.
Step-by-step explanation:
Since x < 1 the circle at the point is open and the arrow points infinitely in the negative direction (which happens to be answer A here)
x is also greater than or equal to -1 so a closed circle at the point -1 will complete this graph.
SOOMEONEEEEE PLEASE HELLLLLLP MEEEEEEEEE just answer these math problems (don't put an answer if you cant do it please because I checked all the time and I need this so BAAAD just comment for questions and more) :) technically is not homework but I just feel bad for not doing it (and ill marked it brainliest and 15 points if that is fine)
Answers
Answer:
2).X= 3.464 m
3).X= 86.60m
4).X= 51.96 m
5).X= 30 m
6). X=3.193 m
7). X= 126.2 m
8).79.41m = x
9). 14.3km = x
10). 173.21 m= x
Step-by-step explanation:
For question 2
Distance of ladder from the foot
Tan60= 6/x
X= 6/tan 60
X= 3.464 m
For question 3
The height of the wall x is
Sin 60= x/100
X= 100*0.8660
X= 86.60m
Question 4
The distance between tree and tower is x
Tan30 = 30/x
X= 30/tan 30
X= 30/0.5774
X= 51.96 m
Question 5
If TanA= 3/4
And base = 40 m
TanA= x/40
Equating
X/40= 30/40
X= 30 m
Question 6
The length of ladder= x
Cos 20 = 3/x
X= 3/cos20
X=3.193 m
Question 7
Length of the string= x
Sin 31= 65/x
X= 65/sin 31
X= 126.2 m
Question 8
Height of kite= x
Tan ∅ = 15/8
∅= Tan^-1(15/8)
∅=61.93°
Sin∅= x/90
Sin61.93 *90= x
79.41m = x
Question 9
Height above ground= x
Tan 50= x/12
Tan 50 * 12 = x
14.3 km = x
Question 10
Height of balloon above ground= x
Sin60= x/200
Sin 60 *200 = x
173.21 m= x
Sarah serves at a restaurant and makes 20% of what she sells as tips. Her base salary is $10.20an hour. Each hour she sells an average of $60 of food and drinks. She also makes time and a half when she works over 8 hours during a single shift. Her work week contains three 10-hour shifts, one 5-hour shift, and one 11-hour shift. Using the same income deductions as stated in the previous question, what is Sarah’s annual gross income and annual net income.
Answers
Sara works 46 hours per week
9 hours are overtime and 37 hours are regular time
pay rate at time and a half: 10.20∗1.5=15.30
regular hours plus overtime pay
37∗10.20=377.40
9∗15.30=137.70
Income due to tips
Total hours worked∗60per hour∗20%
46∗60∗.20=552
Weekly Income=Hourly income + tips
Weekly Income=377.40+137.70+552.00
Weekly Income=1067.10
Annual income=Weekly income∗52
Annual income=55489.20
Pls help w this question
Answers
Answer:
f(x) = -2x + 1
Step-by-step explanation:
The given expression is [tex]\frac{64^x}{4^{5x-1}}[/tex]
By solving the given expression further,
[tex]\frac{64^x}{4^{5x-1}}[/tex] = [tex]\frac{[(4)^{3}]^x}{(4)^{5x-1}}[/tex] [Since 64 = 4³]
= [tex]\frac{4^{3x}}{4^{5x-1}}[/tex]
= [tex]4^{3x}\times 4^{-(5x-1)}[/tex] [Since [tex]\frac{1}{a}=a^{-1}[/tex]]
= [tex]4^{3x-5x+1}[/tex] [Since [tex]a^x\times a^y=a^{(x+y)}[/tex]]
= [tex]4^{(-2x+1)}[/tex]
By comparing the result with [tex]4^{\text{f(x)}}[/tex]
f(x) = -2x + 1
Therefore, f(x) = (-2x + 1) will be the answer.
9/10 of the weight of a loaf of bread comes from the flour used in its baking. 2/9 of the weight is the protein what fraction of the weight is protein?
Answers
Answer:
1/5
Step-by-step explanation:
2/9 * 9/10 = 2/10 = 1/5
Mike ran 2 km in 13 minutes. If he continues at this same pace, how long will it take Mike to run 7 km? Round your answer to the nearest minute.
minutes
Answers
Answer:
46 minutes.
Step-by-step explanation:
2 km in 13 minutes would equal to 6 minutes and 30 seconds per km.
minutes: 6 x 7 = 42
seconds: 30 x 7 = 210
seconds pt 2: 210/60 = 3 minutes 30 seconds
adding altogether: 42 minutes + 3 minutes 30 seconds + 45 minutes 30 seconds, rounded would equal to 46 minutes
solve the equation by using substitution method X + 2 Y equal to 8 equation first 2 x minus 2 equal to 10 equation second
Answers
Answer:
(6, 1)
Step-by-step explanation:
x + 2y = 8
1. subtract 2y to get x alone -- x = -2y + 8
2. insert (-2y + 8) as x
2x - 2 = 10
2(-2y + 8) -2 = 10
3. distribute the 2
-4y + 16 - 2 = 10
4. combine like terms
-4y + 14 = 10
5. subtract 14 from both sides
-4y = -4
6. divide by -4
y = 1
7. plug y into any of the two original equations
x + 2(1) = 8
8. simplify
x + 2 = 8
x = 6
9. check answer with second equation
2(6) - 2 = 10
12 - 2 = 10
Chelsea is solving a quadratic equation. She wants to find the value of x by taking the
square root of both sides of the equation. Which equation allows her to do this?
x2 + 10x + 16 = 25
x2 + 12x + 36 = 17
X2 + 5x + 25 = 64
x2 + 16x + 4 = 18
Answers
Step-by-step explanation:Step-by-step explanation:
For Sienna to be able to take the square root of both sides while solving a quadratic equation, she must have an expression with square on at least, the side that contains the variable she is trying to determine. Equation of the form:
(x + a) ² = b
'a' and 'b' could be any number, -1, 0, 1/3, -5/6, anything really.
So, she can take square roots of both sides then, like this
√(x + a)² = √b
x + a = ±√b
x = -a ± √b
Square roots always cancel out squares, and the '±' is because a square is satisfies by both + and -, 3² = 9, and (-3)² = 9.
It is the nature of the problem being solved that determines if we take just one or both of these answers.
Write each as a decimal. Round to the thousandths place. 0.2%, 756%, 762%, and 90%. Please answer i need it by tonight >~
Answers
Answer:
0.2%=0.200%
756%=756.000%
762%=756.000%
90%=90.000%
( plz mark me as brainliest, that wold be most appreciated! )
756%=7.56
762%=7.62
90%=0.9
In a circle PQ & RS are two chords bisecting each other,prove that the two parts of one chord are equal to the two parts of the other.
Answers
Answer:
see proof below
Step-by-step explanation:
Let
p1,p2 = half lengths of chord p
q1,q2 = half length of chord q
By the intersecting chord theorem,
p1*p2 = q1*q2, substituting p1=p2, q1=q2
p1^2 = q1*2
Take square-roots and reject negative roots
p1 = q1
therefore
p1=p2 = q1=q2, or
two parts of one chord are equal to the two parts of the other.
if m∠2= 137 and m∠P= 22, what is m∠O? answers are 43,21,65,115
Answers
Answer:
21
Step-by-step explanation:
since it is a triangle subtract 180 by 137 and 22
180-(137+22) or 180-132-22
hope this helps
Answer:
21
Step-by-step explanation:
We khow that the sum of a triangle's angles sizes is 180°
137+22 = 159°substract the sum of the two khown angles from 180°
180°-159° = 21 °so m<0 = 21°
people tend to be more Satisfied with election results if their top choices win.for how many,and what percentage,of people was the winning
A. their first choice (12 people)
B their second choice (7 people)
C their third choice (3 people)
D their last choice (3 people)
im so dum and suck at math
Answers
Answer:
Our set of data is:
A. their first choice (12 people)
B their second choice (7 people)
C their third choice (3 people)
D their last choice (3 people)
The total number of people is:
12 + 7 + 3 + 3 = 25.
You already know the number of people for each situation, but let's calculate the percentage:
1st choice: The first choice of 12 people winned, and the total number of people is 25.
Now, 25 is our 100%, then 12 is equivalent to x;
Then we have
12*100% = 25*x
x = (12/25)*100% = 48%
This is:
The quotient between
Second choice:
Same reasoning as above, here the percentage is:
(7/25)*100% = 28%
Third choice:
Same reasoning as above, here the percentage is:
(3/25)*100% = 12%
Fourth/Last choice:
Same reasoning as above, here the percentage is:
(3/25)*100% = 12%
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answers
Answer:
[tex]\sqrt{3}x^2y+x^3-x[/tex]
Step-by-step explanation:
In an expression that is a polynomial, the exponent of the variables (x and y) are natural numbers bigger or equal to 0. So, the only expression that is a polynomial is [tex]\sqrt{3}x^2y+x^3-x[/tex], because we have the exponents equal to 2, 3, and 1 for x and an exponent equal to 1 for y.
The other expressions have exponents that are negatives, rational or the exponent is the same variable.
help quick quick quick qucik
Answers
Answer: 85 = 3.75x + 12.25
The restaurant can have 19 loads
Step-by-step explanation:
The 85 accounts for the restaurant's budget. The 3.75x accounts for the cost of each load. The 12.25 accounts for the delivery fee.
85 = 3.75x + 12.25
Subtract 12.25
72.75=3.75x
Divide by 3.75
19.4=x
Round down
x = 19
Hope it helps <3
Answer:
19.4
Step-by-step explanation:
3.75x+12.25=85
subtract 12 from both sides, and divide to put the variable alone.
Then you have to get 19.53333333
Round up and its 19.4
Check if it is true
3.75×19.4+12.25=85
what is the vertex of g(x)=8x^2-64x? a) (4,-128) b) (-4,-128) c) (4,-16) d) (-4,-16)
Answers
Answer:
The correct answer is D.
Step-by-step explanation:
Answer:
The answer is A.) (4,-128)
Step-by-step explanation:
Mrs johnson grows herbs in square plots Her basil plot measures. 5. 9 yd on each side. A. Find the total area of the basil plot. B. Mrs. Johnson puts a fence around the basil. If the fence was 2 ft from the edge of the garden on each side, whats the perimeter
Answers
Answer:
Area = 34. 81 yd^2
Perimeter = 86.6 feets
Step-by-step explanation:
Given the following :
Shape of Mrs. Johnson's plot = square
All sides of a square are of equal length
Measure of each side = 5.9 yd
A.) Area of plot
Area of plot = Area of a square
Area of a square(A) = a^2
Where a = side length
A = 5.9^2
A = 34.81 yd^2
B) Perimeter of Basil plot = Perimeter of a square
Converting yard to feet
1 yard = 3feets
Therefore,
5.9 yards = (3 * 5.9) = 17.7 feets
Fence is 2ft from the garden on each side,
Length of fence on each side = (2 + 17.7 + 2) Feets = 21.7 Feets
Perimeter of a square (P) = 4a
Where a = side length
P = 4 × 21.7
P = 86.6 feets
Answer:
86.6 feet
Step-by-step explanation:
2) w(x) =
18
-X +-
5'
5. Find w
ܚ ܝ
13
67
A)
B)
10
17
70
39
C)
D)
20
40
PLZ HELP ):
Answers
Answer:
sorry don't know what is ans
Answer:
Hi Mate!
plz don't scan the questions, it will be incorrect
If Line LK = 16, find the length of Line JK.
Answers
Answer:
JK = 16√2
Step-by-step explanation:
This triangle is a special case right triangle, where you have 1 90-degree angle and 2 45-degree angles. The sides that correspond to the 45-degree angles are scalable by 1 and the hypotenuse is scalable by √2. Sometimes these are called 1-1-√2 triangles, describing the measurements of the sides.
Since this has a side of 16, the hypotenuse will be 16√2.
Cheers.
A plot of land is represented on a map whose scale is 1:10000.On the map perimeter of the plot is 24.8cm.Calculate,in km ,the actual perimeter of the plot
Answers
Answer:
24.8 km
Step-by-step explanation
To do this we would just multiply 24.8 by 10,000 which is 248000 and if we divide that by 10000 (to get km) we would get 24.8km
A walking path across a park is represented by the equation y=-3x - 3.A
new path will be built perpendicular to this path. The paths will intersect at
the point (-3,6). Identify the equation that represents the new path.
Answers
Answer:
[tex]y=\frac{1}{3} x+7[/tex]
Step-by-step explanation:
We need to find the equation of a line perpendicular to [tex]y=-3x-3[/tex], which passes through the point (-3, 6).
Recall that a line perpendicular to a line of the form: [tex]y=mx+b[/tex], must have a slope which is the opposite of the reciprocal of the slope of the original line. that is, a slope of the form;
[tex]slope=-\frac{1}{m}[/tex]
Then, in our case, since the original line has slope "-3", a perpendicular line to it should have a slope given by:
[tex]slope=-\frac{1}{-3} =\frac{1}{3}[/tex]
We now know the slope, and also a point for this new line, so we use the point-slope form of a line:
[tex]y-y_0=m_\perp\,(x-x_0)\\y-6=\frac{1}{3} (x-(-3))\\y-6=\frac{1}{3} x+\frac{3}{3} \\y-6=\frac{1}{3} x+1\\y=\frac{1}{3} x+7[/tex]
area of parallelogram is 30cm^2 .
If the length of two adjacent
sides are 6 cm and 10cm
respectively. Find its diagonal
Answers
Answer:
The lengths of the diagonals are;
15.49 cm and 5.66 cm
Step-by-step explanation:
The given area of the parallelogram = 30 cm²
Also the length of 2 adjacent sides are 6 cm and 10 cm
Given that the formula for the area of a parallelogram = Base × Height, h where the base is either of the sides of the parallelogram we have;
When the base b = 10 m and the other side, a = 6 cm the diagonal, d is given by the relationship, d² = (a + √(b² - h²))² + h²
10 × h₁ = 30
h₁ = 30/10 = 3
d₁² = (b + √(a² - h₁²))² + h₁² = (10 + √(6² - 3²))² + 3² = 239.92 cm²
d₁ = √(239.92 cm²) = 15.49 cm
The other diagonal can be found from the following relationship;
d₂² = (b - √(a² - h₁²))² + h₁²
d₂² = (10 - √(6² - 3²))² + 3² = 32.08 cm²
d₂ = √(32.08 cm²) = 5.66 cm.
Factor the expression completely 18^2-32
Answers
Answer:
292
Step-by-step explanation:
To factor this, we need to multiply 18 by 18 to get 324 because the ^2 means you have to multiply the number by itself twice. Then, we subtract 32 from 324 to get our answer 292.
QUICK!!! PLEASE HELP!!! 50 points.. and BRAINLIEST FOR THE QUICK AND CORRECT ANSWER.
A cable car begins its trip by moving up a hill. As it moves up, it gains elevation at a constant rate of 50 feet/minute until it reaches the peak at 2,000 feet. Then, as the car moves down to the hill’s base, its elevation drops at the same rate. The equation that models the cable car’s elevation, e, after t minutes is e = |t − | + . The cable car’s elevation will be 750 feet after minutes. (image attached)
Answers
Answer: [tex]e=-50|t-40|+2000[/tex]
The cable car’s elevation will be 750 feet after 15 minutes or 65 minutes.
Step-by-step explanation:
Given: A cable car begins its trip by moving up a hill. As it moves up, it gains elevation at a constant rate of 50 feet/minute until it reaches the peak at 2,000 feet.
Then, total time taken to reach the peak = (Distance) ÷ (speed)
= (2,000 feet) ÷ ( 50 feet/minute)
= 40 minutes
Then, as the car moves down to the hill’s base, its elevation drops at the same rate.
The equation that models the cable car’s elevation, e, after t minutes is
e= (constant rate)|t- time to reach peak |+ Peak's height
[tex]e=-50|t-40|+2000[/tex]
When the cable car’s elevation will be 750 feet after minutes, then we have
[tex]750=-50|t-40|+2000\\\\\Rightarrow\ -50|t-40|=750-2000\\\\\Rightarrow\ -50|t-40|=1250\\\\\Rightarrow|t-40|=-\dfrac{1250}{50}\\\\\Rightarrow|t-40|=-25\\\\\Rightarrow t-40=-25\text{ or }t-40=25\\\\\Rightarrow t=-25+40\text{ or }t=25+40\\\\\Rightarrow t=15\text{ or }t=65[/tex]
Time cannot be negative, so the cable car’s elevation will be 750 feet after 15 minutes or 65 minutes.
An annual salary is $45000. His tax free allowances total $13000. He has to pay a tax of 20% on his taxable income.
The tax payable is?
Answers
Answer:
6400
Step-by-step explanation:
Taxable amount=45000-13000=32000
tax=32000*20/100
=6400
write an equation of a line with the given slope and y intercept m =1/4,b=-3/4
Answers
Answer: y=1/4x-3/4
Step-by-step explanation:
We have our equation of a line formula y=mx+b
Then we substitute the given and get y=1/4x-3/4
Pls help me full steps I needed Find X
Answers
Answer:
x=60°
Step-by-step explanation:
Let's say the point where angle x is, be K
Because ABCD and PQRS are paralelograms,
∡PSR = ∡PQR =130°
and
∡DAB=∡DCB=70°
and by angles between parallels
∡SPQ + ∡PQR = 180°
∡SPQ + 130° = 180°
∡SPQ = 50°
by angles opposite by vertex
∡PKC = ∡BKQ = x
So in triangle PKC the sum of all angles must add up to 180°
so
∡SPQ + ∡PKC + ∡DCB = 180
50 + x + 70 = 180
x = 60
At which value in the domain does f(x)=0? On a coordinate plane, a function goes through the x-axis at (negative 2.5, 0), (negative 0.75, 0), (0, negative 3), and (1, 0).
Answers
Answer:
The values in the domain where f(x) = 0 are x = -2.5, x = - 0.75 and x = 1.
Step-by-step explanation:
Since we are given the points (-2.5,0), (-0.75, 0), (0, -3) and (1,0) where the coordinates are in ordered pairs of (x, y) where y = f(x).
To find the values in the domain where f(x) = 0, we look at the ordered pairs given.
We look for the pair in which f(x) = 0.
So f(x) = 0 in (-2.5, 0)
f(x) = 0 in (-0.75, 0)
and f(x) = 0 in (1, 0)
The corresponding values of x in which f(x) = 0 are x = -2.5, x = - 0.75 and x = 1.
So, the values in the domain where f(x) = 0 are x = -2.5, x = - 0.75 and x = 1.
Answer:
C. [tex]x=1[/tex]
Step-by-step explanation:
When x is 1, y is 0.
Will give the brains of me brains and my brains and maby ur brain to u how many brains can i give u if u ask this quetion right?
Answers
Answer:
2.4 bags
Step-by-step explanation:
Uh you can keep your brains.
Using the data table, we get:
1, 2, 2, 3, 4 as our data.
Finding the mean:
(1+2+2+3+4)÷5=
12÷5=
2.4 bags
Help pleaseeee with atleast one❤️
Answers
Answer:
3) 23 cm
4)10.1
5)50
please help me solve
Answers
Answer:
20
Step-by-step explanation:
She will be 10 in 5 years witch means she is 5
Double five you get 10
10 + 10 = 20
Answer:
the answer is B.) 20 years old
Step-by-step explanation:
if in 5 years melissa is 10, then right now she is 5 years old. since laura is twice as old as melissa, then laura is currently 10 years old. and if Kim is 10 years older then laura, then Kim is 20 years old
Tl;Dr:
10-5=5
5x2=10
10+10=20