A beam of length 10m can support a weight of 62kg.
It is given that
Weight W ∝ 1/ Length L
W ∝ 1/L
W = k/L...........eq1
where k is constant of proportionality
What is the constant of proportionality?The constant of proportionality is the ratio that relates two given values.
It is given that when L= 2m, W = 310kg
310 = k/2
k = 620
So put the k value in eq1,
eq1 becomes,
W = 620/L
when L = 10
W = 620/10
W =62kg
Therefore, a beam of length 10m can support a weight of 62kg.
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what is the absolute value of
|-20|+|30|
Answer: 50
Step-by-step explanation:
|-20| = 20
|30| = 30
20 + 30 = 50
John and Hank work as gift wrappers at a toy store. In 4 minutes, John can wrap 2 small boxes. In 5 minutes, Hank can wrap 3 small boxes.
In 20 minutes, John can wrap______ small boxes and Hank can wrap______ small boxes. So, Hank can wrap more small boxes in 20 minutes than John can.
Answer:
In 20 minutes, John can wrap 10 small boxes and Hank can wrap 12 small boxes. Hank can wrap 2 more boxes than John in 20 minutes.
Find the slope of the line that passes through points A (-5,-3) and B (7,-5).
Answer:
slope: -2/12
slope-intercept form; y= -2/12x - 3.83
Step-by-step explanation:
Plot the two points and count the rise and the run it takes to get from one point to the other.
Find the distance between the two points on a coordinate A(5, 1) B(-3,- 3)
Step-by-step explanation:
hope this help uhh ...
have a good day.
[tex]\tt AB=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]\tt AB=\sqrt{(-3-5)^2+(-3-1)^2}\\\\AB=\sqrt{-8^2+-4^2}\\\\AB=\sqrt{80}=4\sqrt{5}[/tex]
rosa has a goal of running a total of 150 miles this month each day she ran for 6 miles . what expression could rosa use to determine how many miles she has left to run after running for d days
Answer:
miles left = 150 - 6d
Step-by-step explanation:
To create this expression, let 150 be the total number of miles she needs to run. If she runs 6 miles every day, the expression for miles she has left is the total miles - 6* how many days she has been running. Your final expression for miles she has left should be 150 - 6d.
Hopefully this helps- let me know if you have any questions!
Which list orders integers from greatest to least?
A. 1, 3, -8, -6, -3
B. 3, 1, -3, -6, -8
C. 3, 1, -8, -6, -3
D. -8, -6, -3, 1, 3
Answer:
Second one
Step-by-step explanation:
See
greater to lower means
a_1-a_2>0So
3>1>-3>-6>-8Option B is correct
Factorise
x^2 - x
Thank you!
Answer:
x(x-1)
Step-by-step explanation:
[tex]x^{2} -x[/tex]
look for what both functions share, they both share an x,
which you can factor out,
x(x-1)
and you have your answer :)
294 students went on a field trip. Five buses were filled and 14 students travelled in cars. How many students were in each bus?
Answer:
294 - 14 = 280 ÷ 5 = 56
In conclusion, there were 56 Students in each Bus.
Can u explain this 4 me?
If the square below is enlarged by a scale factor of 2, what will be the area of the new square?
Answer:
There is no square picture attached.
SEE BELOW FOR MORE
Step-by-step explanation:
Although, the area will be multiplied by 4.
For example, if the side values are 2,
The area is 4.
But if we enlarge it by a scale factor of two, the side values will be 4.
The area will be 16.
1. Based on the information in the two-way table, what is the probability that a person selected at random is a left-handed male?
(Two-way table at the bottom)
A.) 4%
B.) 6%
C.) 52%
D.) 38%
2. Based on the information in the two-way table, what is the probability that a person selected at random is a right-handed?
A.) 56%
B.) 44%
C.) 10%
D.) 90%
Probabilities are used to determine the chances of events
The probability that a person selected at random is a left-handed male is 5/121The probability that a person selected at random is a right-handed is 109/121How to determine the probabilities?Probability that a person selected at random is a left-handed male
From the table, the number of left-handed male is 5, and a total of 121 people were surveyed.
The probability is then calculated as:
[tex]p = \frac{5}{121}[/tex]
Hence, the probability that a person selected at random is a left-handed male is 5/121
Probability that a person selected at random is a right-handed
From the table, the number of right-handed people is 109
The probability is then calculated as:
[tex]p = \frac{109}{121}[/tex]
Hence, the probability that a person selected at random is a right-handed is 109/121
Read more about probabilities at:
https://brainly.com/question/25870256
Using it's concept, it is found that the probabilities are as follows:
1. A.) 4%
2. D.) 90%
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
Item 1:
Total of 121 people, 5 are left handed males, hence:
p = 5/121 = 0.0413 = 4%.
Item 2:
109 out of 121 people are right-handed, hence:
p = 109/121 = 0.9 = 90%.
More can be learned about probabilities at https://brainly.com/question/14398287
помогите начертить радиус вписанной окружности пжпжпж
Если вы выбираете центр A, то радиус 3 сантиметра, если вы выбираете центр C, то радиус составляет 2 сантиметра, пожалуйста, отметьте меня как самого мозгового
A cylinder has radius 2.5 meters. its volume is 50pi meters. Find its height.
Answer:
8
see image for work
Which of the following is a factor of the expression 4x^2-2x-42?
Group of answer choices
2x-6
2x-7
x-3
4x-7
Answer:
[tex]4x ^{2} - 2x - 42 \\ 2(2 {x}^{2} - x - 21) \\ 2(2 {x}^{2} + 6x - 7x - 21) \\ 2(2x(x + 3) - 7(x + 3) \\ 2(2x - 7)(x + 3)[/tex]
Answer:
2x - 7
Step-by-step explanation:
4x² - 2x - 42 ( factor out 2 from each term )
= 2(2x² - x - 21) ← factor the quadratic
consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 2 × - 21 = - 42 and sum = - 1
the factors are+ 6 and - 7
use these factors to split the x- term
2x² + 6x - 7x - 21 ( factor the first/second and third/fourth terms )
= 2x(x + 3) - 7(x + 3) ← factor out (x + 3) from each term
= (x + 3)(2x - 7)
then
4x² - 2x - 42 = 2(x + 3)(2x - 7) ← in factored form
with 2x - 7 as a factor
help me solve both questions
Answer:
Step-by-step explanation:
are u on russian math?
* 4. A circle is divided into ten equal sectors.
a. Find the measure of each central angle.
b. If the diameter is 50 in., find the length of an arc of one of the
sectors.
HELP PLEASE
Answer:
a. Find the measure of each central angle.
The central angle of a circle = 360 °
Now Pie is cut into 10 equal sectors
Angle of each sector is given by
Angle of sector = Total central angle/number of sectors
[tex] = {360}^{0} \div 10[/tex]
[tex] = {36}^{0} [/tex]
Hence , the central angle of one slice of pie is 36°
b. If the diameter is 50 in., find the length of an arc of one of the sectors.
length of an arc of one of the sectors =
[tex] = \frac{1}{n} \times 2\pi \times r[/tex]
[tex]= \frac{1}{10} \times 2\ \frac{22}{7} \times 50[/tex]
[tex] = 31.42 \: in[/tex]
Answer: 36 degrees
Step-by-step explanation:
A circle is 360 degrees.
If you divide 360 degrees by 10, (10 sectors) you get 36.
The answer is therefore 36 degrees. (don't forget your labels!!!)
SOMEONE HELP ME URGENTLY!!
Step-by-step explanation:
a. 6:24
b. 1:4
c. 2 = 8, 3 = 12, 4 = 16, 5 = 20, 6 = 24.
d. 6:4 :: 24: X => X = (4×24)/6 => X = 16
e. 4 times
f. by proportion.
Haley and Sabrina are both training for a race.
Haley runs 4.2 miles each day.
Sabrina has been running as many miles each day as Haley.
Next week, Sabrina is going to increase the miles she runs each day by 25%.
Haley and Sabrina both train by running 6 days each week.
What is the total number of miles Sabrina will run next week to train for the race?
A.
5
B.
18.3
C.
21
D.
47.25
the answer is 47.25. trust me, its pretty obvious
Find the measure of the numbered angles for the given Isosceles Trapezoid
Answer:
Step-by-step explanation:
Hello!
This is a trapezoid. It is a quadrilateral with one pair of parallel sides while other sides are non-parallel. Here, the opposite angles are alternate, that is, they have together 180°.
Isosceles trapezoid
An isosceles trapezoid is a trapezoid with congruent base angles and congruent non-parallel sides. Here, the base angles are the same.
The line segment joining the midpoints of the parallel sides is perpendicular to the bases and the diagonals are the same in length.
Good luck:)
The average amount of ozone in several cities across Pennsylvania was correlated with the average number of asthma cases in those cities. What type of study is this
Answer:
Ecological study
Step-by-step explanation:
What must be a factor of the polynomial function f(x) graphed on the coordinate plane below?
Answer:
x + 6
Step-by-step explanation:
Edit:
A moderator mentioned my answer had a mistake: turned out the question posted was incomplete. The complete question should read:
"
What must be a factor of the polynomial function f(x) graphed on the coordinate plane below?
x – 6
x – 3
x + 1
x + 6
"
As shown in the same graph, f(x) cross the x-axis at x = -6, -3 and 0.
When a polynomial crosses the x-axis at x = a, (x - a) must be a factor.
So (x + 6), (x + 3) and x are factors of f(x).
Of the options, the correct answer is x + 6.
The complete question with verified answer is here: https://brainly.com/question/3875529
First let's check for zeros
Mark the x intercepts
-6,-3,0The factors are
x+6x+3xIf $g(x) = 3x + 7$ and $f(x) = 5x - 9$, what is the value of $f(g(8))$?
Answer: 146
Step-by-step explanation:
If y varies inversely as x and x is 6 when y is 13, what is x when y is 8? a. 9. 75 b. 3. 69 c. 0. 27 d. 6. 5.
The value of x when y is 8 is 9.75.
It is given that
y ∝ 1/x
y = k/x......(1)
Where k is a constant of proportionality
What is the constant of proportionality?The constant of proportionality is the ratio that relates two given values.
When y =13, x=6
Means, 13 = k/6
k = 78
Putting the value of k in equation (1)
y = 78/ x
8 = 78/ x
x =9.75
Therefore, The value of x when y is 8 is 9.75.
To get more about the constant of proportionality visit:
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Find the smallest part when £40 is
shared in the ratio 3:1
Help!?!?!?! Brady had 12 cupcakes, if he wanted 4 cupcakes piled in each group, how many groups were there??
Answer:
3 groups
Step-by-step explanation:
12/4 is 3
WILL RECEIVE BRAINLIEST
Mr. Campbell has a square garden with an area of 256 square feet. He wants to put a fence along 3 sides of the garden. How may feet of fencing will he need?
Answer:
48 feet of fencing!!
Step-by-step explanation:
hope this helps! God bless you! <33
Write an equation of the line that passes through (4,5)
and is perpendicular to the line y= -4x+6.
An equation of the perpendicular line is y=
Answer: y=0.25x+4
Step-by-step explanation:
Please help me in need
Answer:C
Step-by-step explanation:
100 POINTS EZ |
The diagonal of a quadrilateral shaped field is 24 m and the perpendiculars dropped on it from the remaining opposite vertices are 8 m and 13 m. Find the area of the field.
Put the values
Area:-
[tex]\\ \rm\Rrightarrow \dfrac{1}{2}(24)(8+13)[/tex]
[tex]\\ \rm\Rrightarrow 12(21)[/tex]
[tex]\\ \rm\Rrightarrow 252m^2[/tex]
Answer:
Step-by-step explanation:
Divide the quadrilateral field into two triangles by its diagonal.
Area of a triangle is given by the equation 1/2*base*height.
The top triangle's area = 1/2*24*13 = 156 m^2
The bottom triangle's area = 1/2*24*8 = 96 m^2
Combining, the area of the field = 156 + 96 = 252 m^2
Kramer invested $15,000 in a certificate of deposit for 1 year. The certificate earns
interest at an annual rate of 4.5% compounded daily. The amount per $1.00 is
1.046025. What is the effective annual yield?
4.6%
0 4.5%
5.4%
6.4%