Answer:
Similar triangles are sometimes congruent. We can consider two triangle such that the measure of all the angles are equal but the sides of one triangle is three times the side of the other triangle in such a case the triangles are not congruent but they are similar
A chain lying on the ground is 10 m long and its mass is 60 kg. How much work (in J) is required to raise one end of the chain to a height of 4 m?
Answer:
Approximately [tex]4.70 \times 10^{2}\; \rm J[/tex], assuming that [tex]g = 9.81\; \rm m \cdot s^{-2}[/tex].
Step-by-step explanation:
When the force [tex]F[/tex] is constant, moving by [tex]\Delta x[/tex] in the direction of the force would do a work of [tex]F \cdot \Delta x[/tex].
However, in this example, as an increasing portion of the chain gets lifted up, the force lifting the chain would increase in size. Hence, apply the integral form of this equation.
Let [tex]F(x)[/tex] denote the force required to lift the chain when the height above the ground is [tex]x[/tex] meters. At that moment, exactly [tex](x / 10)[/tex] of the chain would be above the ground. The mass of that much of the chain would be [tex](x / 10)\![/tex] the mass of the whole chain.
[tex]\begin{aligned}F(x) &= m(x) \cdot g \\ &= 60 \cdot \frac{x}{10} \cdot g = 6\, g\, x\end{aligned}[/tex].
Integrate with respect to [tex]x[/tex]:
[tex]\begin{aligned}\int \limits_{0}^{4} F(x) \cdot {\rm d} x &= \int \limits_{0}^{4} 6\, g\, x \cdot {\rm d} x \\ &= \left[(3\, g)\, x^{2}\right]_{x=0}^{x=4}\\ &= 48\, g \approx 4.7 \times 10^{2} \end{aligned}[/tex].
In other words, it would take approximately [tex]4.7 \times 10^{2}\; \rm J[/tex] of energy to raise one end of the chain to that height of [tex]4\; \rm m[/tex].
Which one of the following statements is FALSE?
A
sin 70' = cos 20
B sin 15° = cos 65
С
COS 43 = sin 47
D
sin 12 = cos 78
Answer:
D because you have to cos
Answer:
B and D
Step-by-step explanation:
sin(15)=0.25
cos(65)=0.42
Tony invests $3,000 dollars in an account earning 12% interest per year. How long will it take
him to make $3960 dollars in simple interest?
3 years
5 years
8 years
11 years
Answer: 11 years
Step-by-step explanation: 3960 divided 12%= 33,000 divided 3000=11
Answer: it will take 11 years
Write the equation of the line of reflection in the following picture
Answer:
it is reflected in the x-axis so y=0
Factorise
x^2 - 5x - 6
Answer:
(x+1)(x-6)
thats the ans :)
Question 2
28 inches
3.5 feet
Write the following ratio in lowest terms.
Hint: 1 foot = 12 inches
Back
Next
It looks like 28inches
—————-
3.5 feet
7 more than a number ?
A)n+7
B)7+n
C)7-n
Answer:
B)7+n
Step-by-step explanation:
Answer:
A but see below.
Step-by-step explanation:
A is likely the best answer, although B is also correct. However you should write things in the other they are given.
n + 7 is the very best way to answer.
7 + n is not wrong but maybe not wanted.
f(n)=f(n-1)+3; f(1) = 7
How many full 5/8 ft pieces of wood can you cut from a board that is 458 feet long?
Answer:
732 pieces
Step-by-step explanation:
458/5/8
= 458* 8/5= 732 pieces
if my answer helps please mark as brainliest
Plz guys help I need help
What is the sum? 3x^2-2x-1/x-5+-2x^2+x-5/x-5
Answer: 5(1-x) over x
Step-by-step explanation: Combine the rational expressions using the least common denominator (LCD).
If an object has a density of 2 g/cm3, and it is placed in a tank of water, will the object float or sink in water? Explain your answer.
Answer:
The object will sink
Step-by-step explanation:
I) The density of water is 1g/cm³.
II) The object's density is greater than 1g/cm³, thus it will sink.
15=1.5t
Solve the equation for the variable. Remember to write t= when you write your answer!
Answer:
t = 10
Step-by-step explanation:
15 = 1.5 × t
15/1.5 = t
10 = t
mark me as brainlist92 divided by the sum of 49 and 36?
Answer:
92/85
Step-by-step explanation:
(please answer thank you!)
The cost of a hamburger is $1.15 more than an order of large fries. Bill bought two hamburgers and an order of fries for a total of $8.60. What is the price of each item? Give your answer in full sentences.
Answer:
The order of large fries costs $ 2.10, while each hamburger costs $ 3.25.
Step-by-step explanation:
Given that the cost of a hamburger is $ 1.15 more than an order of large fries, and Bill bought two hamburgers and an order of fries for a total of $ 8.60, to determine what is the price of each item, the following calculation must be performed:
X + X + 1.15 + X + 1.15 = 8.60
3X + 2.30 = 8.60
3X = 8.60 - 2.30
X = 6.30 / 3
X = 2.10
Thus, each order of large fries costs $ 2.10, while each hamburger costs $ 3.25.
4 In February, Alec had 1,581 visitors to his website. In March, he had 1,321 visitors to his website. What is the percentage decrease of the number of visitors to Alec's website from February to March? if necessary, round to the nearest tenth of a percent
Answer:
It is 16.4 %
Step-by-step explanation:
Subtract 1581 and 1321 to get how much it decreased.
It decreased by 260 so find what percent of 1581 is 260.
260/1581 = 0.164 which is 16.4 %
PLEASE HELP I ATTACHED A PICTURE
Answer:
option 2
Step-by-step explanation:
x is going away from 7 in a positive direction which means greater than. the fact that it is just greater than not equal to means that there is a black circle instead of a filled in one because it excludes that number.
Answer:
Option 2
Step-by-step explanation:
If the inequality is "x > 7" it means that if it was to be represented on a number line, all values that "c" could possibly take would be located to the right (on the number line) of 7. Now there only two options that follow this statement, those options are options 2 and 4. But there is another thing we must understand. x must be larger than 7 (it can not be equal to 7), therefor option 2 is right since it follows the second statement while option 4 would represent inequality "x ≥ 7".
The graph shows the rate at which two fuel tanks are being filled. Which statement best interprets the distance shown on the graph?
Answer:
Tank B has 4 more gallons than tank A.
Step-by-step explanation:
The expression (2x + 6) + x represents the perimeter of an isosceles triangle. If x represents the length of one side of the triangle, explain how you can use Distributive Property to find the length of each of the two equivalent sides?
Answer:
x+3
Step-by-step explanation:
x= one side of the triangle
(2x+6)=two sides of the isosceles triangle
Factor (2x+6) which is 2(x+3)
So, the length of each side is x+3.
X=y-3
2x-2y=-6
No solution, one solution, or infinite solution?
Answer:
No solution
Step-by-step explanation:
2y - 3 - 2y = -6
2y - 2y - 3 = -6
-3 = -6
No solution
Help ASAP I’ll mark brainliest
Answer:
C. 254
Step-by-step explanation:
There are 3 different types of engineers listed in the chart, Electrical, Chemical, and Mechanical. Under the first column of math, add together the numbers for all three engineers.
85+80+89= 254
Therefore, 254 engineers chose math as their favorite subject.
Find mZBAC
A
20°
B
11
11
Answer:
numbers dont do into math please move this to englash
Step-by-step explanation:
it posted worng
Graph the system of equations. Then determine whether the system has no solution, one solution, or infinitely many solutions. If the system has one solution, name it.
y = [tex]\frac{3}{2}[/tex]x
y = -x + 5
WILL PICK BRAINLIEST ANSWER, THANK YOU, AND 5 STAR FOR FULL EXPLANATION. :)
Answer:
1 1/2
Step-by-step explanation:
trapezoid.mp4
Find the value of x and y.
Rek2
20
x
12
Y
x =
y =
9514 1404 393
Answer:
x = 12y = 20Step-by-step explanation:
The figure only makes sense as a kite, in which case left sides are equal and right sides are equal.
x = 12
y = 20
Two sides of a triangle have the same length. The third side measures 3 m less than twice that length. The perimeter of the triangle is 25m. Find the lengths of the three sides.
Answer:
two sides have the length of 7m
third side is 11m
Step-by-step explanation:
perimeter is the sum of all sides
let 'n' = length of congruent sides
let '2n - 3' = length of third side
25 = n + n + 2n - 3
25 = 4n - 3
28 = 4n
n = 7m
2(7) - 3 = 11m
The length of each side of parallelogram RSTU is multiplied by three to create parallelogram WXYZ.
What is the ratio of the area of parallelogram RSTU to the area of parallelogram WXYZ?
A.1:3
B.1:6
C.1:9
D.1:27
E.1:81
Answer:
I believe A?
Step-by-step explanation:
4.5=2c I need help plz
Answer:
[tex]c=2.25[/tex]
Step-by-step explanation:
[tex]4.5=2c\\2c=4.5\\c=4.5/2\\c=2.25[/tex]
Please help I need due rn
Answer:
4 3/12
Step-by-step explanation:
= 4.25 = 4 1/4 = 4 3/12
Travis's income is $7200a month, and he plans to budget 1/2 of his income for rent and 1/6 of his income for electricity.What fraction of his income does he plan to spend each month on these two items together? Express your answer in lowest terms.
Answer:
Travis plans on spending 2/3 of his income which is $4800
Step-by-step explanation:
1/2 = 3/6 and 3/6 + 1/6 = 4/6 and 4/6 = 2/3
Answer:
2/3
Step-by-step explanation:
7200 / 2 = 3600 rent
7200/ 1/6 = 1200 electricity
3600 +1200 = 4800
4800/7200 = the same as simplified 48/72
We know our 12x table = 4/6
We can simplify 4/6 as 2/3
Amber has determined that the experimental probability of making a free throw in basketball is 12/15. What it the probability of missing a basket?
Answer:
3/15, 1/5, or 0.2 probability. Highly unlikely
Explanation:
12/15 is the shown probability. The leftover is 3/15, so 3/15 is the chance of missing the basket.
~Hope this helps~