Answer:
1.54
Step-by-step explanation:
Without doing any calculations, is positive or negative?
Explain your reasoning.
Answer:
what is positive or negative???
Which point is the circumcenter of the triangle?
Answer:
it is D
Step-by-step explanation:
For knowing it, it is necessary to draw straight line above the triangle from the middle of the sides, forming a 90° degree angle. But as they are already drew, it is easier
Given ΔABC with points A, B and C on the circle, the circumcenter of the triangle is point D.
Circumcenter of a circle is the point where the perpendicular bisectors on the sides of the triangle, whose vertices touch the circumference of the circle, intersect.
Perpendicular bisector of a line segment is another line segment which makes an angle of 90 degrees with it and divide the line segment into two equal parts.
In the given figure, we have triangle ABC.
A, B and C vertices touch the circle.
We need to find the circumcenter of the circle.
The sides of the triangle ABC are AB, BC and AC.
The perpendicular bisectors of the sides AB, BC and AC are ED, GD and FD respectively. We can verify so from the figure.
The point where the three perpendicular bisectors meet is the point D, again from the figure, thus, clearly point D is the circumcenter of the triangle.
Learn more about circumcenter here
https://brainly.com/question/29927003
#SPJ2
Evaluate to function for the given value of X
[tex]\text{Given that,}\\\\\\f(x) = 9x^3 -x^2 +2 \\\\f(2) = 9(2^3) - 2^2 +2\\\\~~~~~~~ = 9(8) -4 +2 \\\\~~~~~~~= 72 -2 \\\\~~~~~~~=70[/tex]
8-kg lead brick falls from a height of 1.6 m.
(a) Find its momentum as it reaches the ground.
Ikg-m/s
(b) What Impulse is needed to bring the brick to rest?
N-s
(c) The brick falls onto a carpet, 2.0 cm thick. Assuming the force stopping it is constant, find the average force the carpet exerts on the brick
N
(d) If the brick falls onto a 6,0 cm foam rubber pad, what constant force is needed to bring it to rest?
The magnitude of the impulse needed to bring the brick to rest is given by the initial momentum of the brick.
The correct responses are;
(a) 44.8 kg·m/s(b) 44.8 N·s(c) 6,278.4 N(d) 2,092.8 NReasons:
The velocity of the brick as it reaches the ground is given by the formula;
v² = 2·g·h
v = √(2·g·h)
Where;
h = The height of the brick, h = 1.6 m
g = The acceleration due to gravity ≈ 9.81 m/s²
Therefore;
v ≈ √(2 × 9.81 m/s² × 1.6 m) ≈ 5.6 m/s
(a) Momentum = Mass × Velocity
The momentum of the brick = 5.6 m/s × 8 kg = 44.8 kg·m/s
(b) Impulse = Force × Δt = Mass × Δv
Mass × Δv = 8 kg × (5.6 m/s - 0) = 44.8 kg·m/s = 44.8 N·s
Therefore, the impulse = 44.8 N·s
(c) The distance over which the carpet stops the brick = 2.0 cm = 0.02 m
Initial energy in the brick, E = m·g·h
Which gives;
E = 8 kg × 9.81 m/s² × 1.6 m = 125.568 J
Energy = Force × Distance
[tex]\displaystyle Force \ carpet \ exerts \ on \ brick, \ F = \frac{125.568 \, J}{0.02 \, m} = \mathbf{ 6,278.4 \, N}[/tex]
The average force the carpet exerts, F = 6,278.4 N
(d) If the brick falls on a foam which is 6.0 cm (thickness), we have;
Distance = 6.0 cm = 0.06 m
Therefore;
[tex]\displaystyle Force, \, F = \frac{125.568 \, J}{0.06 \, m} = \mathbf{2,092.8 \, N}[/tex]
The constant force needed to bring the brick to rest is, F ≈ 2,092.8 N
Learn more about force and energy here:
https://brainly.com/question/6366228
https://brainly.com/question/528149
Need all answers a lot of points
if you add 12 to my number and then multiply the result by 3, you will get 64 more than two-thirds of my number. Find My number.
Answer:
Step-by-step explanation:
The number is 12.
What is number?A number is a mathematical object used to count, measure, and label. The original examples are the natural numbers 1, 2, 3, 4, and so forth. Numbers can be represented in language with number words.
here, we have,
-> If you add 12 to my number and then multiply the result by 3, you will get 64 more than two-thirds of my number.
-> n + 12 and then multiply the result by 3, you will get 64 more than two-thirds of my number.
-> 3(n + 12), you will get 64 more than two-thirds of my number.
-> 3(n + 12) = 64 more than
-> 3(n + 12) = 64 + 2n/3
[Given]
3(n + 12) = 64 + 2n/3
[Distribute]
3n + 36 = 64 + 2n/3
[Multiply both sides by 3]
9n + 108 = 192 + 2n
[Subtract 108 and 2n from both sides]
7n = 84
[Divide both sides by 4]
n = 12
hence, The number is 12.
To learn more on number click:
brainly.com/question/17429689
#SPJ2
Larry rolls 2 fair dice and adds the results from each.
Work out the probability of getting a total that is a multiple of 3.
Answer
1/3
Step-by-step explanation:
A man left 1⁄2 of his property to his wife 1/3 of the remainder to his eldest
son and the rest to be divided equally among his five younger children,
each of whom got p60,000. How much did his wife get?
Answer: p800,000
Step-by-step explanation:
1/2 to wife
1/3 to eldest son, and
Rest(x) to 5 youngest children
(1/2) + (1/3) + x = 1 [The sum of the shares will equal 1 estate]
(3/6) + (2/6) + x = 1
(5/6) + x = 1
x = (1/6); to be divided among the 5 youngest children
We find that each young child receives p60,000. That group of five received 5*(60,000) = p300,000, which represents (1/6) of the total estate (Estate).
We can write: (1/6)*(Estate) = p300,000
Estate = p1,800,000
The wife hauled in 1/2 of this, so she received p800,000.
What is the difference (2 x - 3) - (x - 1)?
x minus 4
x minus 2
x + 2
x + 4
Answer:
Step-by-step explanation:
It may help you to rewrite this problem in columns:
2x - 3
-( x - 1)
------------
x - 2 (answer) ("x minus 2")
brainliest if correct
Solve.
−49x+2.4=6
Enter your answer as a decimal or as a mixed number in simplest form in the box.
x =
$\text{Basic}$
Step-by-step explanation:
[tex] - 49x + 2.4 = 6 \\ - 49x = 6 - 2.4 \\ - 49x = 3.6 \\ x = \frac{3.6}{ - 49} \\ x = - \frac{18}{245} = - 0.0735[/tex]
what is 7.5% as a fraction
Answer:
15/2
Step-by-step explanation:
hope it helps (•‿•)
pls help on my maths
Given:
[tex]A = 25[/tex]Let's simplify.
=> [tex]25 = \frac{22}{7} r^{2}[/tex]=> [tex]\frac{25}{\frac{22}{7} } = \frac{\frac{22}{7}r^{2} }{\frac{22}{7\\} }[/tex]=> [tex]\frac{7(25)}{22} = r^{2}[/tex]=> [tex]\sqrt{\frac{25(7)}{22}}= \sqrt{r^{2}}[/tex]=> [tex]\sqrt{\frac{25(7)}{22}}= r[/tex]=> [tex]r = 2.82[/tex] (Estimated)Therefore, r ≈ 2.82.
Hoped this helped.
Answer:
r= 5/√ π
or
r=2.820948 or simplified =2.82
Step-by-step explanation: it could be either one of these
a *blank* *blank* trinomial has only one element in the solution set
Answer:
a solution set trinomial has only one element in the solution set
Step-by-step explanation:
Please answer fast this is due soon
Step-by-step explanation:
multiply the first equation by 1, the second by -1 and add.
x + 2y = -16
-x - 6y = 28
--------------------
0 - 4y = 12
-4y = 12
y = -3
x + 2×-3 = -16
x - 6 = -16
x = -10
The graphs of 4x+12y=8 and y=mx+5 are perpendicular. What is the value of m?
Answer:
m = 3
Step-by-step explanation:
Slope of first one is -1/3
Perpendicular therefore m = -(-1/3)^(-1) = 3
m = 3
Answer:
Given the equation line 4x+12y=8
Step-by-step explanation:
The equation is y=mx+5y=mx+5
The line passes through A(3,14)A(3,14)
Putting (x,y)=(3,14)(x,y)=(3,14), we have…
14=3m+514=3m+5
⟹3m=9⟹3m=9
⟹m=3
Point A=(7,9) is dilated from the origin by scale factor of r=11. what are the coordinates of point A
Answer:
42 and 54
Step-by-step explanation:
Please help, I don't know how to get all the angle measurements.
Answer:
Step-by-step explanation:
From the markings p and q are opposite equal sides. That means that p = q
Since = 24 then q must also be 24
r is an exterior angle. It is equal to the two remote interior angles which in this case are p and q
r = p + q But p and q are both equal
r = 24 + 24
r = 48
From the markings r and s are opposite equal sides. That means that r and s are equal.
s = r
s = 48
t is another exterior angle. It is = to the sum of the two interior angles
so t = r + S
t = 48 + 48
t = 96
Select the four equivalent expressions to 4x^2 - 4x -24
A - 2x^2 - 2x - 12
B - 4(x^2 - x - 6)
C - 4(x - 3)(x + 2)
D - (2x - 2x)^2 - 24
E - (4x - 12)(x +2)
F - (x - 3)(4x + 8)
Answer:
b. 4(x^2 - x - 6)
c. 4(x - 3)(x + 2)
e. (4x - 12)(x +2)
f. (x - 3)(4x + 8)
hope it helps :)
mark brainliest!!
A quadratic. equation will always have an irrational solution since there is a square root in the quadratic formula. True or False?
Answer:
False
Step-by-step explanation:
If the square root can be simplified to a rational number the solution will not be irrational.
Answer:
False
Step-by-step explanation:
Consider reducible quadratic equations. They have rational solutions.
Officer Brimberry wrote 32 tickets for traffic violations last week, but only 12 tickets this week. What is the percent decrease? Give your answer to the nearest tenth of a percent. [The percent decrease is___%
Answer:
62.5 %
Step-by-step explanation:
you have to subtract 32-12, which equals 20
then divide 20 by the original amount (20/32)
20/32= .625, then you have to multiply to get the final answer...hope this helped!
work out the perimeter of this semicircle the radius is 11cm take π to be 3.142 and write down all of the digits given by your calculator
The answer is 34.54 cm
What is the area and circumference of a circle?The circumference (or) perimeter of a circle = 2πr units. The area of a circle = πr2 square units. Where r is the radius of the circle. The circumference of the circle or the perimeter of the circle is the measurement of the boundary of the circle. Whereas the area of the circle defines the region occupied by the circle.
Given here: Radius=11cm
Thus circumference of the semi-circle is = πr
=3.14×11
=34.54 cm
Hence, The answer is 34.54 cm
Learn more about circumference of a circle here:
https://brainly.com/question/14200825
#SPJ1
Simplify.
2x + 6x2 - 10 + 4x2 - 3x + (-6) =
Answer:
10
x
2
−
x
−
16
re written: 10x2−x−16
Step-by-step explanation:
Answer:
The simplified answer is [tex]10x^2-x-16[/tex]
Step-by-step explanation:
[tex]2x+6x^2-10+4x^2-3x-6[/tex]
[tex]= 2x+6x^2+-10+4x^2+-3x+-6[/tex]
[tex]Combine[/tex] [tex]Like[/tex] [tex]Terms:[/tex]
[tex]= 2x+6x^2+-10+4x^2+-3x+-6[/tex]
[tex]=(6x^2+4x^2)+(2x+-3x)+(-10+-6)[/tex]
[tex]= 10x^2+-x+-16[/tex]
As a final result, the answer is [tex]10x^2+-x+-16[/tex].
Therefore, [tex]10x^2+-x+-16[/tex] is the answer.
Hope this helps!
Have a nice day/night/afternoon.
(Can you mark me brainliest?)
- ❤ 7272033Alt ❤
Solve for percent error: At a school production, the drama club advisor
predicted that there would be 200 people on the first night. Find the
percent error if 250 people attend.
Answer:
25 %
Step-by-step explanation:
Error = (actual - predicted) / (predicted)
= (250-200) / 200
= 50 / 200
= 0.25
multiply by 100 to conver to a percent
25 %
last month nick spent $50 this month he spent 60% of last month how much did nick spend
Answer:
Nick spent $30.00.
Step-by-step explanation:
60% of $50.00
60% ÷ 100 = 0.6
0.6 x 50 = 30
Answer:
30$Step-by-step explanation:
last month nick spent $50 this month he spent 60% of last month how much did nick spend?
50 : 100 * 60 =
0.5 * 60 = 30$
The graph shows the number of possible passengers for a given number of roller coaster cars that leave the platform. Complete parts a and b.
m = 24 - [?] / [?] - 2 = [?]/1
y = [?]x
The linear equation is y = 8x and the slope of the graph is 8
A linear equation is in the form:
y = mx + b;
where y, x are variables, m is the rate of change and b is the initial value of y.
Using the points (2, 16) and (3, 24):
[tex]slope(m)=\frac{24-16}{3-2}=8[/tex]
Hence the linear equation is y = 8x
Find out more on linear equation at: https://brainly.com/question/14323743
The table below shows the number of minutes a household phone is used daily based on the number of household members.
Which equation best models this set of data?
A. P = -20.2x^2 - 1.3
B. P= -20.2x - 1.3
C. P= 20.2X^2 + 1.3
D. P= 20.2x + 1.3
I'm pretty sure the answer would be D) P = 20.2x + 1.3 but the answer should be P = 19.2x + 1.3, but it isn't listed so it would be D
Solve for W if:
4w^2+9w=-2
To make pink paint you need 2 pints of white paint and 1 pint of red paint. How many pints of red paint is needed for 10 pints of white paint? *plz i neeeed help
Answer:
5 pints is needed
Step-by-step explanation:
2 pints of white paint for pink
1 pint of red for pink
10 pints of white paint = 5 pints of red
9 + (-6) = 3 is this correct
Answer:
yes u are correct,it's does equal that
468 divided by 3 step by step solution
Answer:
156Step-by-step explanation:
468 ÷ 3
= 156
hope u liked the answer :)
#keep learning