Answer:
60x$70=$4100
Step-by-step explanation:
ekdjnsjs
Answer:
60 x 70= 4200$
Step-by-step explanation:
60
70 x
_____
(jk no need to do this just multiply them this way,because there are zeros just multiply 6 and 7 which equals 42 then add the zeros which are equal to= 4200$
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).
The equation of the cables for a suspension bridge is modeled by the equation
y-48 = 0.0025x2, in feet. How far is the lowest point of the cables above the bridge?
The lowest point of the cables is
feet above the bridge.
The lowest point of the cables above the bridge is 48 feet above the bridge.
The statement give us a parabola equation in standard form, the vertical distance of the lowest point above the bridge is determined by the y-coordinate of the vertex. Hence, the lowest point of the cables above the bridge is 48 feet above the bridge.
We kindly invite to check this question on parabolae: https://brainly.com/question/8495869
Simplify: |7 – 9| + (7 – 9)^2
Answer:
6
Step-by-step explanation:
Following PEMDAS ( parentheses, exponents, multiplication, division, addition, subtraction)
| 7 - 9 | + ( 7 - 9 ) ^ 2
| 7 - 9 | + -2 ^ 2
| 7 - 9 | + ( -2 x -2 )
| 7 - 9 | + 4
| -2 | + 4
2 + 4
6
Hey!
Need help please...
[tex]\sf{What~is~2x~+~16= 8.[/tex]
Answers/w explanation ✅ Nonsense answers, or answers. that I didn't ask for will be reported.
[tex]{ \qquad{ \sf \green{Answer \downarrow}}}[/tex]
Subtract 16 from both sides of the equation.
[tex]{ \qquad{\longmapsto \sf \red{2x + 16 - 16 = 8 - 16}}}[/tex]
[tex]{ \qquad{\longmapsto \sf \blue{Simplify \: now}}}[/tex]Subtract the numbers
[tex]{ \qquad{\longmapsto \sf \red{2x = 8}}}[/tex]
Divide both sides of the equation by the same term.
[tex]{ \qquad{\longmapsto \sf \green{ \frac{2x}{2} = \frac{ 8}{2} }}}[/tex]
Cancel terms that are in both the numerator and denominator
[tex]{ \qquad{\longmapsto \sf{ \qquad\longrightarrow\quad\sf \dfrac{\cancel{2x}}{\cancel{2} } = }}}\qquad\quad\sf\dfrac{\cancel{ 8}}{\cancel{2}}[/tex]
[tex]{ \qquad{\longmapsto \sf{x = {\qquad{ \sf \pink{ 4}}}}}}[/tex]
[tex]{ \red{ \rule{9cm}{0.1cm}}}[/tex]
-2×(-2)³×(-2)×3+(-2)×3×(-1)³
Answer:
-90
Step-by-step explanation: I hope its the right answer. If not I'm sorry.... I'm just a kid...
Anyone willing to help? I have to submit it tmr
Answer:
here's your answer
hope it helps
(look at attachment)
PLEASE ANSWER ASAPEnter the equation of the line in slope-intercept form. Slope is − 2 3 , and (−6, −5) is on the line. The equation of the line is y =
Step-by-step explanation:
there seems to be something missing.
I assume the slope of the line is -2/3.
the slope of a line is always the factor of x in the equation.
the slope is the y/x ratio indicating how many units y changes, when x changes by a certain amount of units (e.g. when going from one point on the line to another).
the equation for the line looks like this then :
y = (-2/3)×x + b
to get b we use the provided point (-6, -5) and it's x and y values.
-5 = (-2/3)×-6 + b = 4 + b
b = -9
so, the full equation of the line is
y = (-2/3)×x - 9
What is the equivalent ratio to 14:10 ?
?:30
Answer:
42:30
Step-by-step explanation:
10 x 3 = 30
14 x 3 = 42
If the volume of the cube was 27 (each side length is 3 units), what would the new volume be if each side length of the cube was reduced to 2 units?
clapped
Step-by-step explanation:
jerome completes 8 extra credit problems and then 4 problems each day until the worksheet is done.28 problems is on the worksheet.
Find the difference. 8.6 − 2.87
Answer:
5.73
Step-by-step explanation:
The difference is 5.73.
HELLP MEEEEEE
PLEASE
Answer:
x = [tex]\frac{5}{4} + \frac{ \sqrt{5} }{4}[/tex]
x = [tex]\frac{5}{4} - \frac{ \sqrt{5} }{4}[/tex]
Step-by-step explanation:
Quadratic equation:
[tex]x = \frac{-b +- \sqrt{b^2 - 4ac} }{2a}[/tex]
The equation is:
[tex]4x^2 - 10x + 5 = 0\\[/tex]
So:
a = 4
b = -10
c = 5
Plug the variables into the quadratic equation:
[tex]x = \frac{-(-10) +- \sqrt{(-10)^2 - (4 * 4 * 5)} }{(2 * 4)}[/tex]
[tex]x = \frac{\sqrt{10 +- \sqrt{100 - 80} } }{8}[/tex]
[tex]x = \frac{10 + \sqrt{20} }{8}[/tex]
Divide both sides by 8:
10 ÷ 8 = [tex]\frac{5}{4}[/tex]
[tex]\sqrt{20}[/tex] ÷ 8 = [tex]\frac{\sqrt{5}}{4}[/tex]
[tex]\frac{5}{4}[/tex] +- [tex]\frac{\sqrt{5}}{4}[/tex]
This means that the solutions that satisfy the equation is:
x = [tex]\frac{5}{4} + \frac{ \sqrt{5} }{4}[/tex]
x = [tex]\frac{5}{4} - \frac{ \sqrt{5} }{4}[/tex]
Hope this helps!
identify the congruence transformation shown as a reflection, translation or rotation
Answer:
Counterclockwise rotation 90°
Step-by-step explanation:
first quadrant graph -> 2nd quadrant
Counterclockwise rotation 90° : (x,y) -> (-y , x)
Josie used 1/2 of the milk for pancakes this morning. If her brother and sister divided what was left to eat cookies with their movie, what fraction of the milk did each drink?
Answer:
1/4 cup of milk
Step-by-step explanation:
= 1/2 ÷ 2
= 1/2 × 1/2
= 1/4
The product of three whole numbers is 120 how many different possibilities are there for the three whole numbers
9 different possibilities
Answer:
z. sjshshdbd.d.difffjfjfjf
please explain how to solve this
(12+5i) - (9-2i)
i have answers but dont understand
Answer: 3 + 7i
Step-by-step explanation:
Equation expanded: 12 + 5i - 9 + 2i // now simplfy
12 - 9 = 3
5i + 2i = 7i
// together, we get
3 + 7i
Answer:
10i
Step-by-step explanation:
(12+5i) - (9-2i)
(17i) - (7i)
10i
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]
Which angles are vertical angles?
<8 and <6
<8 and <7
<8 and <5
Angle 8 and angle 5 are vertical angles
helppp
what is the slope
The slope is [tex]-\frac{3}{7}[/tex]
A figure with coordinates J ( − 12 , 16 ) , K ( − 4 , − 3 ) , L ( − 2 , 16 ) , M ( 1 , 0 ) is dilated by a scale factor of 4 with the origin as the center of dilation. Fill in the coordinates of J ′ of the figure after dilation.
Answer:
Solve by multiplying a scale factor of 4 to each coordinate
Step-by-step explanation:
If the coordinate of J is dilated by a scale factor of 4, the resulting coordinate of the figure J' will be at (-48, 64)
Dilation of coordinatesDilation is a transformation technique used to change the size and shape of an object on a xy-plane.
Given the following coordinate point of a figure JKLM:
J (− 12 , 16 ),
K ( − 4 , − 3 )
L ( − 2 , 16 )
M ( 1 , 0 )
If the coordinate of J is dilated by a scale factor of 4, the resulting coordinate of the figure J' will be at (-48, 64).
Learn more on dilation here: https://brainly.com/question/10253650
please answer this question
Answer:
3rd option
Step-by-step explanation:
a point (0, y ) lies on the y- axis
a point (x, 0 ) lies on the x- axis
a point (x, y ) lies in I quadrant
a point (- x, y ) lies in II quadrant
a point (- x, - y ) lies in III quadrant
a point (x, - y ) lies in IV quadrant
Then
point (2, - 5 ) lies in IV quadrant
-----------------------------------------------------------------
We require 2 equations with the repeating digit 7 placed after the decimal point.
let x = 0.427777... ( multiply both sides by 100 and 1000 )
100x = 42.777..... (1)
1000x = 427.777.... (2)
Subtract (1) from (2), thus eliminating the repeating digits
900x = 385 ( divide both sides by 900 )
x = [tex]\frac{385}{900}[/tex] = [tex]\frac{77}{180}[/tex]
Express the equation In y = 5 in exponential form.
TIMED HELP PLEASE
Answer:
log
2
(
y
)
=
5
→
2
5
=
y
⇒
y
=
32
Step-by-step explanation:
sam buys a rare stamp for his stamp collection at an auction. he buys the stamp for 920£ the stamp increased in value by 7% in each of the first 2 years decreased in value by 4% in the third year
The value of the stamp at the end of the third year is £976.31.
How to calculate the value?From the information, Sam buys a rare stamp for his stamp collection at an auction. he buys the stamp for 920£ the stamp increased in value by 7% in each of the first 2 years.
First year value:
= 920 + (2% × 920)
= 938.4
Second year value:
= 938.4 + (2% × 938.4)
= 957.168
Third year value:
= 957.168 + (2% × 957.168)
= £976.31
Learn more about percentages on:
brainly.com/question/24877689
#SPJ1
Complete question
sam buys a rare stamp for his stamp collection at an auction. he buys the stamp for 920£ the stamp increased in value by 7% in each of the first 2 years decreased in value by 4% in the third year. What is the cost by the end of. the third year?
7.836 - 937 + 2.846 =.....
Answer:
Hi There,
Your answer is -926.318
no need for explanation jsut answer
Answer:
y=4 because 8x4=32
32-2 =30
30+60=90
Answer:
the value of y is 4, so 8(4)-2 are 30 , then 30 degrees are the angle
15
2) The bakers at Healthy Bakery can make 220 bagels in 2 hours. How many
bagels can they bake in 19 hours? What was that rate per hour?
???
2090
Step-by-step explanation:
220 divided by 2 hours is 110 per hour
19 times 110 equals 2090
pls help
Which of the sets of ordered pairs represents a function? (5 points)
A = {(3, −5), (4, 6), (−3, 9), (2, 7)}
B = {(2, 4), (−1, −7), (5, 6), (4, 3)}
. Ramu took a loan of 50000 rupees from a bank which charges 10% interest, compounded an- nually. He repaid 10000 rupees after one year and 15000 rupees after two years. How much should he pay at the end of three years to settle the loan?
Answer:
= 30,550 rupee owed
Step-by-step explanation:
yr1 = 50000 x 0.10^1 = 5000
5000 - 10000 = 5000 credit from debt.
yr 2 = 50000 x 1.10^2 = 500 debit from debt = 5000-15000= 10,000 credit from debt
yr 3 = 50000 x 1.10^3 = 50 debit from debt
5000 + 500 = 15000 where 50,000 owed initially and yr1 and yr 2 paid in full interest of 5500 and we deduct this from his payment = 25000-5500 =
19500 paid of initial and nothing owed on interest.
50000-19500= 30,500 rupees owed + 50 rupee interest.
= 30,550 rupee owed
The amount he should pay at the end of the three years to settle the loan is; 41,550 Rupees
Compound InterestWe are given;
Investment = 50000 rupees
Annual Interest Rate = 10% = 0.1
Since the interest is compounded annually, then number of times of compounding = 3
Thus;
Amount to pay after 3 years is;
A = 50000(1 + 0.1)³
A = 50000 × 1.1³
A = 66500 Rupees
Now, we are told that he has already paid 10000 rupees after one year and 15000 rupees after two years. Thus, amount he now owes to settle the loan = 66500 - (10000 + 15000) = 41,550 Rupees
Read more on Compound Interest at; https://brainly.com/question/2455673
need help on proportions question urgently!!!!!!
Answer:
SSS~
RQP
Step-by-step explanation:
36/15 = 2.4
48/20 = 2.4
72/30 = 2.4
Triangles are similar by SSS~.
triangle JKL is similar to triangle RQP
For brainily please help
Answer:
No
Step-by-step explanation:
7 + 3 = 10, and in order for this to make a triangle two sides must be greater than one side
Answer:
No
Step-by-step explanation:
two sides, say a and b, with a greater than or equal to b, ,put limits on the length of the third side, c: a-b < c < a+b.
a-b < c < a+b.
7-3 < 10 < 7+3
4 < 10 < 10
False,