Answer:
-2r = 2 - Subtract 11 from both sides
r = -1
Can anyone help me to verify identities
Answer:
Step-by-step explanation:
18.
LHS
[tex]\frac{cos^{2}a-sin^{2}b }{sin^{2}a.sin^{2}b}[/tex]
= [tex]\frac{cos^{2}a }{sin^{2}a.sin^{2}b} -\frac{sin^{2}b }{sin^{2}a.sin^{2}b}[/tex]
= [tex]\frac{cos^{2}a}{sin^{2}a}[/tex] × [tex]\frac{1}{sin^{2}b}[/tex] - [tex]\frac{sin^{2}b}{sin^{2}b}[/tex] × [tex]\frac{1}{sin^{2}a}[/tex]
= [tex]cot^{2}a[/tex] × [tex](1+cot^{2}b)[/tex] - 1 × [tex](1 + cot^{2}a)[/tex]
= [tex]cot^{2}a[/tex] + [tex]cot^{2}a.cot^{2}b[/tex] - 1 - [tex]cot^{2}a[/tex]
= [tex]cot^{2}a.cot^{2}b[/tex] - 1
Then you can conclude that LHS = RHS
19. It's weird. I tried a few ways like simplifying, dividing both numerator and denominator on LHS by tan or sin or cos but it didn't work out.
what is the center and radius of
[tex]x {}^{2} + y {}^{2} - 2x + y - 1 = 0[/tex]
[tex] = circle \: \: with \: \: the \: \: radius \: \: r = \frac{3}{2} \: \: and \: \: the \: \: center \: \: (1, - \frac{1}{2} )[/tex]
see the attachment
hope it helpsa rectangle is 40cm long and 30cm wide, use a scale of 1cm to represent 10cm to draw a scale diagram of the rectangle on the grid.
Hello mariamhifzur!
Given,
A rectangle is 40 cm long & 30 cm wide. So,
Length = 40 cmWidth = 30 cmNow, using a scale of 1 cm to represent 10 cm we need to draw a scale diagram of the rectangle on the grid.
At first we need to convert the measurements of the rectangle in real life to its scale measurements. In the question given, we need to convert 10 cm to 1 cm in the scale. So,
Length = 40 cm = 4 cm (in the scale figure)Width = 30 cm = 3 cm (in the scale figure)Now, suppose each grid is equal to 1 cm. Then, we can take the measurements as :
Length = 4 cm = 4 boxes/gridsWidth = 3 cm = 3 boxes/gridsLet's draw the figure now. Our rectangle looks like ... (see the attachment).
_____________
[tex]\mathfrak{Lucazz}[/tex]
After Gwen, Tristan, and Keith finish exercising, they go to the fair. At the fair, they each pay the entry fee and also buy tickets they can use for food or rides. Gwen pays the entry fee and buys 10 tickets. It costs her a total of $30. Tristan pays the entry fee and buys 15 tickets. It costs him a total of $40. Keith pays the entry fee and buys 10 tickets. It costs him a total of $30. In this task, you will create a system of equations and find the cost of each ticket. Let x represent the entry fee and y represent the cost of each ticket in dollars.
Part B
Write an equation representing how much Tristan paid.
Part C
Write an equation representing how much Keith paid.
Part E
Solve the system you found in Part D. Did you use elimination or substitution? What was the entry fee, and how much did each ticket cost?
Part F
What do you need to do to the equations so you can put them into the Graph tool? Put the equations into the Graph tool. To create the graph, select the correct relationship and then enter the values for the variables. Paste a screenshot of your graph in the space provided. Do you get the same solution as when you solved it algebraically?
Answer:
Let x represents the entry fees
y represent the cost of each ticket
Gwen equation
x + 10y = 30 ... (i)
Tristan equation
x + 15y = 40 ...... (ii)
Keith equation
x + 10y = 30 .......... (iii)
By solving eq. (ii) and (iii), we get
x = 10
y = 2
Hence entry fees = $10
cost of each ticket = $2
PLEASE MARK ME AS BRAINLIEST AS IT WILL HELP ME IN ACHIEVING NEXT LEVEL.
THNX IN ADVANCE
Step-by-step explanation:
Answer:
Step-by-step explanation:
Let x represents the entry fees
y represent the cost of each ticket
Gwen equation
x + 10y = 30 ... (i)
Tristan equation
x + 15y = 40 ...... (ii)
Keith equation
x + 10y = 30 .......... (iii)
By solving eq. (ii) and (iii), we get
x = 10
y = 2
Hence entry fees = $10
cost of each ticket = $2
how do i simplify these expressions?
. 3x x 4y
. 2p x 3q x 5r
Answer:
[tex] \\• \tt \: 3x \times 4y[/tex]
[tex] \\ \tt = 12xy[/tex]
[tex] \\ \tt • \: 2p \times 3q \times 5r[/tex]
[tex] \\ \tt = 30pqr[/tex]
Which is the correct way to write 602,200,000,000,000,000,000,000 in scientific notation? 6022 Times. 1019 6022 Times. 1020 6. 022 Times. 1022 6. 022 Times. 1023.
Answer:
6020*10's power 21 is correct and suitable way to write it in notation
Sup!! can you answer this?
also answer fast kid
Answer:
try d) 17 m
sorry if it's wrong
Diana made 143 treats for her visit to the nursing home. There are 37 patients and she wants each person to get the same number of treats. How many more treats will she need to make in order for each patient to receive 4 treats?
Answer:
5 more treats
Step-by-step explanation:
The total number of treats if she gives each person 4 treats is
. 37 people * 4 treats = 148 treats
Subtract 143 (number of treats she has) from 148 (total number of treats to give out)
. 148 treats - 143 treats = 5 treats
143 treats
37 patients
to find:how many treats will she need to make in order for each patient to receive 4 treats.
solution:[tex]4 \times 37[/tex]
[tex] = 148[/tex]
[tex] = 148 - 143[/tex]
[tex] = 5[/tex]
therefore, she'll have to make 5 treats more in order for each patient to receive 4 treats
answer= option D
A group of 3 adults and 10 children bought tickets to watch a dance performance.Each adult ticket cost $7 more than each child ticket.The group paid a total of $125.Find the child ticket cost.
Answer:
8$
Step-by-step explanation:
5/8 divided by 3/5=????????????????????????????
Answer:
0.15
Step-by-step explanation:
Answer:
1 1/24
Step-by-step explanation:
Pls give brainly if right :) also not 11 its 1u 1/24
Hiep is writing a coordinate proof to show that the midsegment of a trapezoid is parallel to its bases. He starts by assigning coordinates as given, where RS¯¯¯¯¯ is the midsegment of trapezoid KLMN. Trapezoid K L M N on the coordinate plane. The vertices of the trapezoid are K begin ordered pair 0 commas 0 ends ordered pair, L begins ordered pair 2a comma 0 end ordered pair, M begin ordered pair 2d comma 2c end ordered pair, and N begin ordered pair 2b comma 2c end ordered pair. Segment R S is drawn with point R on segment K N and point S on segment L M. Drag and drop the correct answers to complete the proof. Since RS¯¯¯¯¯ is the midsegment of trapezoid KLMN, the coordinates of R are (b, Response area) and the coordinates of S are (, c). The slope of KL¯¯¯¯¯ is the Response area. The slope of RS¯¯¯¯¯is 0. The slope of NM¯¯¯¯¯¯¯ is 0. The slope of each segment is 0; therefore, the midsegment is parallel to the bases. choices - a, b,c,d a+d, 0, 1, 2
Step-by-step explanation:
boy, that is hard to decipher ...
but from what I understood after a while of reading and re-reading, the proof is based on the equal slope (0) of all 3 lines showing that all 3 lines are parallel.
remember, the slope is the ratio y/x indicating how many units y changes, when x changes a certain amount of units when going from one point to another.
so, going from N to M :
x changes by (2d - 2b) units.
y changes by 0 units (2c to 2c).
so, the slope of NM is 0/(2d - 2b) = 0.
going from K to L :
x changes by (2a - 0) = 2a units.
y changes by 0 units (0 to 0).
so, the slope of KL is 0/2a = 0.
R and S are the middle points between K and N, and between L and M.
R = ((2b+0)/2, (2c+0)/2) = (b, c)
S = ((2d + 2a)/2, (2c + 0)/2) = ((d+a), c)
so, going from R to S :
x changes by (d+a-b) units.
y changes by 0 units (c to c).
so, the slope of KL is 0/(d+a-b) = 0.
as all 3 slopes are equal (and with being 0 also parallel to the x-axis), this proves that the line RS is parallel to its bases.
Hope I helped! Have a nice day! Really hope this helps k12 students!
is 5/8 greater than 61%? thanks i have late stuff that i need done
Answer:
5/8 is 62.5% which makes it greater
Step-by-step explanation:
Convert the fraction to a decimal and then just multiply it with 100
5/8 is 0.625
0.625×100 is 62.5
just add a %
then you get 62.5%
Willa is building birdhouses . Each side of the birdhouse needs 9 nails . How many nails does Willa need for each birdhouse . There are 7 sides on the birdhouse
Answer:
63
Step-by-step explanation:
I side=9 nails*1= 9nails
7 sides= 9*7 nails= 63 nails
Each birdhouse requires 63 nail.
Hope this helps!
Please help!!!!!!!!!!!!!
Answer:
can you also send a graph that might help rn
Step-by-step explanation:
can someone please help me out with this as ive tried to put everything to solve it but im still wrong.
kind regards
Franklin
Melissa makes necklaces and sells them online. She charges $88 per necklace. Her monthly expenses are $3745. How many necklaces must she sell if she wants to make a profit of at least $1,650?
Answer:
She must sell at least 18 necklaces to have a profit of at least 1,650 . In order to pay for her monthly expenses she needs to sell at least 43 necklaces. If she wants to have 1,650 remaining after paying for her monthly expenses she'll have to sell around 61 necklaces.
How do you solve for x?
2(x - 3)^2 - 32 = 0
[tex] \: \: \: \: \: \: \: \: [/tex]
[tex]x = - 1 \\ x = \: 7[/tex]
Step-by-step explanation:
[tex]2(x - 3 {)}^{2} - 32 = 0[/tex]
divide both sides[tex](x - 3 {)}^{2} - 16 = 0[/tex]
use a²- b² =(a - b ) (a + b) to factor the expression[tex](x - 3 - 4) \times (x - 3 + 4) = 0[/tex]
calculate the difference and the sum[tex](x - 7) \times (x + 1) = 0[/tex]
when the product of factors equals 0 ,at least one factor is 0[tex]x - 7 = 0 \\ x + 1 = 0[/tex]
solve the equation for x[tex]x = 7 \\ x + 1 = 0[/tex]
the equation has 2 solutions[tex]x = - 1 \\ x = 7[/tex]
hope it helps[tex] \: \: \: \: \: \: \: [/tex]
Find the sum of the first 32 terms of the AP : 0.5, 0.75, 1
Answer:
[tex]S_{32}[/tex] = 140
Step-by-step explanation:
The sum of n terms of an AP is
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]
where a₁ is the first term and d the common difference
Here a₁ = 0.5 and d = a₂ - a₁ = 0.75 - 0.5 = 0.25 , then
[tex]S_{32}[/tex] = [tex]\frac{32}{2}[/tex] [ (2 × 0.5) + (31 × 0.25) ]
= 16(1 + 7.75)
= 16 × 8.75
= 140
A car accelerates
at a rate of 7 m/s2. If its
original speed is 13 m/s, how many seconds will it take the car to reach a
final speed of 62 m/s?
PLEASE SHOW WORK
Answer:
7 Seconds
Step-by-step explanation:
This is kinematics
Vf=Vi+at
t=[tex]\frac{Vf-Vi}{a}[/tex]
t=[tex]\frac{62-13}{7}[/tex]
t=[tex]\frac{49}{7} =7[/tex]
7c + 8d = 5A
solve for a
(just rearrange the equation for the answer, I forgot how to)
Answer:
A=7c/5 + 8d/5
Step-by-step explanation:
Answer:
A = [tex]\frac{7c+8d}{5}[/tex]
Step-by-step explanation:
7c + 8d = 5A ( isolate A by dividing both sides by 5 )
[tex]\frac{7c+8d}{5}[/tex] = A
which of the following shows the correct order of steps needed to simplify 5+2(3-1)
Answer:
BODMAS
Step-by-step explanation:
5+2(3-1)
= 5 + 2(2)
= 5 + 4
= 9
*First calculate the sum inside the brackets which equals 2. Then multiply 2 with the answer which you got inside the bracket which equals 4. Then add the result with 5. The answer is 9
Bracket Of Division Multiplication Addition Subtraction
First solve the sums which are inside the brackets. Then solve the numbers which have powers with them. Then divide the numbers which have division signs with them. Then multiply the numbers which have multiplication signs with them. Then add the numbers which have addition signs with them. Lastly subtract the numbers which have subtraction signs with them.
Hope this helps!!
im very confused on the question attached below....can someone pls explain it with an answer?
Answer:
There doesnt seem to be a mode
Step-by-step explanation:
The mode is the number that ocurs most in the sequence
EDIT : NEVER MIND IT MIGHT BE LENGTH 8 AS THE FREQURNCY IS THE HIGHEST
15% of the skittles in andy's bag are green. if 9 of them are green, how many skittles are in the bag
Answer:
60
Step-by-step explanation:
9/15 = 0.60
0.60 * 100 = 60
60 skittles are in the bag
In printing an article of 48,000 words, a printer decides to use two sizes of type. Using the larger type, a printed page contains 1,800 words. Using smaller type, a page contains 2,400 words. The article is allotted 21 full pages in a magazine. How many pages must be in smaller type
Answer:
17 pages
Step-by-step explanation:
Let L = number of pages printed Larger type
S = number of pages printed smaller type
the article is allow 21 full pages in a magazine. -->L + S = 21
1,800L + 2, 400S = 48, 000 (we can divide 100 to make the math easier)
18L + 24S = 480
Solve:
L + S = 21
18L + 24S = 480
we can use elimination by eliminating 18L so we can isolate the value of S
-18 (L + S = 21)
18L + 24S = 480
-18L - 18S = 378
18L + 24S = 480
6S = 102
S = 17
Population Growth Using 20th-century U.S. census data,
the population of Ohio can be modeled by
12.79
P(1) =
1 + 2.402,-0.0309
where P is the population in millions and r is the number of
years since April 1, 1900. Based on this model, when was the
population of Ohio 10 million?
The population of Ohio will be 10 million in the year 1970
The population growth of Ohio is represented by the function:
[tex]P(t)=\frac{12.79}{1+2.402e^{-}0.0309t}[/tex]
P is the population in millions
t is the number of years since 1900
To find the year that the population of Ohio will be 10 million, substitute P = 10 into the function P(t) and solve for t
[tex]10=\frac{12.79}{1+2.402e^{-}0.0309t}\\\\10(1+2.402e^{-}0.0309t)=12.79\\\\1+2.402e^{-}0.0309t=\frac{12.79}{10} \\\\1+2.402e^{-}0.0309t=1.279\\\\2.402e^{-}0.0309t=1.279-1\\\\2.402e^{-}0.0309t = 0.279\\\\e^{-}0.0309t =\frac{0.279}{2.402} \\\\e^{-}0.0309t =0.116\\\\-0.0309t=ln0.116\\\\-0.0309t=-2.154\\\\t=\frac{-2.154}{-0.0309} \\\\t=69.7[/tex]
t = 70 years (to the nearest whole number)
70 years after 1900 will be 1970
Therefore, the population of Ohio will be 10 million in the year 1970
Learn more here: https://brainly.com/question/25504185
For a triangle. Find m<1 when the other angles are 52.2 and 44.7
Answer: 83.1
Step-by-step explanation:
52.2 + 44.7 = 96. 9
180 - 96.9 = 83.1
Which table represents a direct variation between x and y
Answer:
Y
Step-by-step explanation:
Because the direct variables are plus twenty five
x- (2x + 1) = 8- (3x + 3)
Answer:
x = 3
Step-by-step explanation:
x- (2x + 1) = 8- (3x + 3)
x - 2x - 1 = 8 - 3x - 3
x - 2x + 3x = 8 - 3 + 1
2x = 6
x = 6/2 = 3
7. Write an inequality that matches the graph shown.
Answer:
To make an inequality its in the part that is shaded so
Step-by-step explanation:
(-2,-2) (-4,1) ETC
Will give brainliest. The graph of y=|x| is shifted to the left by 6 units. What is the equation of the new graph?
Answer:
y = |x+6|
Step-by-step explanation:
To represent horizontal shift of a graph, we use the equation y = |x - h|, where h is the amount of units the graph is shifted.
If we are shifting 6 units to the left, h = -6. Therefore, the new equation will be: y = |x - (-6)| or y = |x + 6|