Answer:
x = 60°, y = 100°, z = 120°, w = 80°
Step-by-step explanation:
x and 120° are adjacent angles on a straight line and sum to 180°
x + 120° = 180° ( subtract 120° from both sides )
x = 60°
Similarly
y + 80° = 180° ( subtract 80° from both sides )
y = 100°
and
z + 60° = 180° ( subtract 60° from both sides )
z = 120°
--------------------------------------------------------------------
The sum of the interior angles in a quadrilateral = 360°
sum the interior angles of the quadrilateral and equate to 360°
60° + 80° + 120° + 4th angle = 360°
260° + 4th angle = 360° ( subtract 260° from both sides )
4th angle = 100°
w and 100° are adjacent angles on a straight line and sum to 180° , so
w + 100° = 180° ( subtract 100° from both sides )
w = 80°
A square metallic frame has a perimeter 208cm .It is bent in the shape of a circle. Find the area of the circle.
Answer:
676 pi
Step-by-step explanation:
208 ÷ 4 =52
(each length =52cm)
diameter = 52 cm
radius = 52÷2 = 26cm
area of circle = pi × radius ^2
pi × 26^2 = 676 pi
A number is first increased by 20 and then doubled. The result is less than 5 times the number
Answer:
25=x
Step-by-step explanation:
2x+20=3x-5 (x=25)
Olivia started knitting a jumper
4 hours and 43 minutes before 19:13
What time did she start knitting the jumper?
Give your answer in 24 hour time.
Answer: 14:30
Step-by-step explanation:
19:13 - 4.43 looks easy, but time expressed in 24-hour format is a base 60 calculation in the decimal portion. It only contains values between 0 and 59.
I broke it it down to simplify:
1) Take 13 minutes off the 19:13 to make it 19:00.
2) Then take the same 13 minutes off the 4.43, which would make it 4.30 (4 1/2 hours)
3) Now take off the 4.30 from the 19:00. The 4 portion of 4.3 can be removed: 19:00 - 4:00 = 15:00. Then remove the 0:30 portion (1/2 hour), which would leave 14:30.
14:30 plus 4:43 = 18:73, but the 0:73 must convert to 1:13 to account for the 60 minutes/hour format
Olivia started knitting a jumper at 13:30.
What is 24-hour time format?A 24-hour time format is similar regular AM/PM time, except that you keep counting up after you get past 12 PM (noon). So 1 PM in 24-hour format is 13:00, 2 PM is 14:00, and so on. All you need to do is add 12 to any time in the PM to get 24-hour format time.
How to calculate the time?The given time is 19:13 and Olivia started knitting a jumper
4 hours and 43 minutes before the given time.
Then he starts at 13:30 started knitting a jumper.
Learn more about what time Olivia started knitting the jumper here-brainly.com/question/25212957
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So, the question on my test was a pair of in line skates is on sale for 90. if this price represents a 9% discount from the original price, what is the original price to the nearest cent. My teacher got 98.90, but i got 98.10. which is mathematically correct?
Step-by-step explanation:
I got 98.1, not sure how she got her answer
Read the statement below and then select the idea that can be inferred from the statement.
Toxicity is high in cities. HELP FASSSSSSSST!!!!!
Environmental scientists help keep the air safe.
Temple University is near Philadelphia.
There is some lead in drinking water.
There are more factories in the city than in the country.
Ground soil can become poisoned with lead.
Answer: I would say 4
Step-by-step explanation:
Answer:
There are more factories in the city than in the country.
Step-by-step explanation:
Hope this helps!
A 2 feet- wide walkway surrounds a rectangular swimming pool. The swimming pool is 12 feet wide and 16 feet long. What is the area of the walkway
Answer:
128 sq. ft.
Step-by-step explanation:
The outer sides of the walkway will have a length of 20 feet and the breadth will be 16 feet
The area of the pool along with the walkway will be 20 × 16 = 320 square feet.
Area of the pool without the walkway will be 16 × 12 = 192 square feet.
Therefore area of the walkway will be
352 - 216 = 128 square feet.
this is just so dum why do they make the app if nobody is going to help me and other some people have to post the same question 5 times even more if they have their people in need that need help and they come on brainly so they can get help even I do but yall dont care yall answer that yall want to answer thats not fair
What question do you need help with
which system represents the graph?
A. y + 2x = 12
y = x + 3
B. y = -2x + 10
y = 2
C. x + y = 3
y = -3 (2x - 1)
D. y = 2/3x
y = 5/3x - 3
Answer: A
Because y =x + 3 shows there’s a point at (0,3) and y + 2x = 12 solves to y = -2x + 12 meaning there’s a point at (0,12) and the graph shows that
Can someone help me plz!!
Answer:
RMT or TMR
Step-by-step explanation:
The angle between the sides is just the angle at which they meet. Since MR and TM meet at M, the resulting angle must include M as well as the ends of the angle, T and R.
A local catering
company is offering a
Spring BBQ special that
feeds 30 people for
$195. How much would it
cost to feed 50 people?
Help me Plz :))
What are the dimensions of AB?
Answer:
c 2*3
Step-by-step explanation:
I think its correct
help???? i will be so greatfull
−2(x+1)=x−3x−2 No solution, one solution, or infinite solutions
Answer:
infinite solutions (All real numbers are solutions)Step-by-step explanation:
−2 *(x + 1) = x −3x −2
-2x - 2 = -2x -2
Triangle PQR has vertices P(-2,2), Q(8,2) and R(4,6).
(a) Find the equation of the perpendicular bisector of segment PQ.
I got so confused on this question if I could get help it would mean a lot
9514 1404 393
Answer:
x = 3
Step-by-step explanation:
You can forget about point R. It does not have any part in this problem, except to add confusion.
The given line PQ has the same y-coordinate values for points P and Q. This means the segment is a horizontal segment. Its perpendicular bisector will be a vertical line through its midpoint.
The midpoint (M) of PQ is ...
M = (P +Q)/2
M = ((-2, 2) +(8, 2))/2 = (-2+8, 2+2)/2 = (6, 4)/2
M = (3, 2)
The vertical line through a point with x-coordinate 3 will have the equation ...
x = 3
What is the square root of 18 plus the square root of 2? And is it rational or irrational?
7,218 round off thousand
5 phần 4 cộng x bằng trừ 1 phần 2
Answer:
5
-
2..................
Question 4 of 5 Which expression uses the associative property to make it easier to evaluate 6(5-3)? 1 3 O A. 6(} - ) O B. (6 - 3) O C. 3(6.3) O D. ( 63) SUBMIT
pls help, no links.
I think it's a
Step-by-step explanation:
associative property means you can change what ever is in the ()
Answer:
Step-by-step explanation:
find T1 and T2, if a 60 N load is hanged and in equilibrium position.
Answers:
T1 = 59.5677879151077 N
T2 = 45.7583538175564 N
The values are approximate. Round the values however you need to.
=========================================================
Explanation:
Refer to the diagram below. I have added red and blue lines to break up each tension vector into the x and y components. For tension T1 in red, we have x1 and y1 as the horizontal and vertical components respectively. Note that x1 points to the left and y1 points upward.
For T2 in blue, we have x2 point to the right and y2 point upward. The horizontal components x1 and x2 must be equal, and point in opposite directions, so that we have horizontal balance. Otherwise, the object would accelerate to one side rather than be stationary.
Applying a bit of trig, we can say
cos(angle) = adjacent/hypotenuse
cos(45) = (x1)/(T1)
x1 = T1*cos(45)
and also
sin(angle) = opposite/hypotenuse
sin(67) = (x2)/(T2)
x2 = T2*sin(67)
----------------------
Again, the x1 and x2 vectors must be equal in magnitude, allowing us to say this
x1 = x2
T1*cos(45) = T2*sin(67)
T1 = T2*sin(67)/cos(45)
which we'll use later.
----------------------
Doing a bit more trig set up, we know that
sin(45) = (y1)/(T1)
y1 = T1*sin(45)
and
cos(67) = (y2)/(T2)
y2 = T2*cos(67)
Adding those two y components together will yield the total upward force that the ropes apply
y1+y2 = T1*sin(45)+T2*cos(67)
y1+y2 = (T2*sin(67)/cos(45))*sin(45)+T2*cos(67)
y1+y2 = T2*( sin(67)*sin(45)/cos(45) + cos(67) )
y1+y2 = T2*( sin(67)*tan(45) + cos(67) )
y1+y2 = T2*( sin(67)*1 + cos(67) )
y1+y2 = T2*( sin(67) + cos(67) )
This combined upward pull must be equal to 60 newtons or else we wouldn't have vertical equilibrium. If the upward pull was smaller than the downward pull, then the object would be falling. If the other way around, then the object would be pulled upward at some accelerated speed (think of a spring action).
So we'll set y1+y2 equal to 60 and solve for T2
y1+y2 = 60
T2*( sin(67) + cos(67) ) = 60
T2 = 60/( sin(67) + cos(67) )
T2 = 45.7583538175564
That value is approximate. The units for T2 are in newtons. This is the amount of pull or force along the T2 line in the upper right direction.
Side note: make sure your calculator is in degree mode.
----------------------
The last thing to do is to compute T1
T1 = T2*sin(67)/cos(45)
T1 = 45.7583538175564*sin(67)/cos(45)
T1 = 59.5677879151077
That value is approximate as well. The units are also newtons here. This represents the amount of pull in the upper left direction as the diagram shows.
----------------------
Finding such values for T1 and T2 is useful to determine if a rope can handle a certain stress load. Let's say we had a rope that was rated for only 40 newtons. Anything beyond 40 N for this hypothetical rope would mean the rope breaks. We found T1 and T2 beyond this threshold which would indicate that such a rope isn't up to the task of holding this object up (at least not with the angles shown in the diagram).
Sam started cooking at 7;43 AM and finished at 8;32 AM. how long did it take him?
Answer:
49 minutes
Step-by-step explanation:
7: 43
8: 32
17 minutes 'till 8:00
Another 32 'till 8:32
so add 17+32
15 examples of real life situations where we apply approximation
Answer:
Have a splendiferous day!
Hope this helps!
Step-by-step explanation:
Shopping at the grocery store
Rough calculations of math
Figuring out time it would take to reach a location
Making nearly accurate measurements
Trying to stay within a budget
Solving extremely complicated numbers
Dealing with decimals
For quick calculations in a business
To prepare ahead, e.g an overestimate
and so on.
A translation 2 units to the right and 10 units up. Then a reflection over the line AC
what are the coordinates of B and D?
Answer:
B = (4, 3)
D = (8,6)
Step-by-step explanation:
Go along the X axis until you find the line that fits with B, same with D.
3/4+x=2x-x+ ?(need answer)
Answer:(x - 4)(2x + 3)
FOIL = first,outside,inside,last
F -- so multiply first terms in each set....(x)(2x)
O -- multiply outside terms in each set...(3)(x)
I -- multiply inside terms in each set....(-4)(2x)
L -- multiply last terms in each set.......(-4)(3)
Step-by-step explanation:
If line m is perpendicular to line n, and the slope of line m is -5/3, what is the slope of line n? Write in simplest form.
Answer:
Step-by-step explanation:
Slope of perpendicular line = [tex]\frac{-1}{m}[/tex]
= -1 ÷ [tex]\frac{-5}{3}[/tex]
[tex]= -1 *\dfrac{-3}{5}\\\\=\dfrac{3}{5}[/tex]
y+5=(x+7) in slope-intercept form
Answer:
(x)/(7)+(y)/(5)=2
Step-by-step explanation:
(x)/(7)+(y)/(5)=2
Which of the following is correctly written in Standard Form?
A.) -6x + 3y = 8
B.) y = 6/5x + 4
C.) 6x - 2y = 4
D.) 6/5x + 3y = 8
HELP NEEDED PLZ
AH IM SO BAD AT MATHHH SORRY !
Answer: 135 degrees
Step-by-step explanation:
Answer:
135
Step-by-step explanation:
sum of triangle angles = 180
then JLK =. 180 -(70+65) = 180 - 135 = 45
then JLK = 45
since JLM = 180
then KLM = 180 - 45 = 135
Identify if the given statement is true or false.
The incenter is the point of concurrency of the altitudes of a triangle.
True or False
Answer:
false, true, false
Step-by-step explanation:
english 1 hhhhhheeeeellllpppp meeee
Answer:
c
Step-by-step explanation: