Answer:
29 feet
Step-by-step explanation:
14 × 3 = 42
100 - 42 = 58
58 ÷ 2 = 29
One of the longer chains is 29 feet long.
Hope this helps.
can someone help me out
Find the area of the circle. Use 3.14 for the value of T Round your answer to the nearest tenth. Don't forget to find the radius first before finding the area.
10.2 in
Answer:
Step-by-step explanation:
r = d/2
r = 10.2/2 = 5.1
Area = pi * r^2
Area = 3.14 * 5.1^2
Area = 81.67 in^2
To the nearest 1/10, this is 81.7 in^2
Express 60 as the product of its prime factors. Write the prime factors in accending order and give your answer in index form.
Answer:
Step-by-step explanation:
Prime numbers are basically numbers that don't have any factors that multiply to get that number except for 1 and the number itself. (For example: 2, 3, 5, 7, 11, 13 and so on are all prime numbers)
The question is asking to express 60 into prime numbers. 60 is 30*2, and since 2 is a prime number, we can circle it. Then we continue on with 30, which can divide into 15*2. Again, since 2 is a prime number, we circle it, while 15 can be factored further because 5*3 is 15. Since 5 and 3 are prime numbers, we circle them too. In the end, we have the prime numbers 5, 3, 2, and 2. There are two 2's in our factorization, so therefore we can simplify that to 2^2 since they ask for your answer in index form. There is only one 5 and one 3, and they ask to write them in asscending order, and so the answer would be (2^2)*3*5. Hope this helps!
Triangle ABC is reflected across the line y = x. What are the coordinates of the vertex B' of the resulting triangle A'B'C?
Answer:
B' (2, - 5 )
Step-by-step explanation:
Under a reflection in the line y = x
a point (x, y ) → (y, x ) , then
B (- 5, 2 ) → B' (2, - 5 )
Which table shows a function that is increasing only over the interval (–2, 1), and nowhere else?
A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries negative 6, negative 3, negative 1, 1, 3, 6.
A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries negative 2, negative 4, negative 1, 1, 4, 3.
A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries negative 3, negative 5, negative 7, negative 6, 1, negative 1.
A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries 5, 7, 1, 0, negative 4, negative 2.
Answer:
the answer is c
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
9. The scatter plot below shows the average yearly consumption of
bottled water by people in the United States starting in 1990.
18
16
14
Gallons of
Bottled
Water per
Person
12
10
1990 1992 1994 1996 1998 2000
Year
Using the line of best fit, predict the average consumption of bottled
water in the year 2000?
B) 18 gallons
A) 20 gallons
C) 20 gallons
D) 19 gallons
A ball is thrown into the air with an upward velocity of 36ft/s . It’s height h in feet after t seconds is given by the function h= -16t2 + 36t +10 . How many seconds does the ball reach its maximum height
lllStep-by-step explanation:
Which complex number is represented by the point graphed on the complex plane below?
On a coordinate plane, a point is graphed at (3, negative 4).
–4 + 3i
3 + 4i
3 – 4i
4 + 3i
Answer:
3-4i because it is negative in a graph
Answer:
C.) 3-4i
Step-by-step explanation:
because it is negative in a graph
Angles 1 and 2 are supplementary. 2 lines intersect to form angles 1 and 2. Which equation represents the relationship between their measures?
Answer:
[tex]\angle 1 + \angle 2 = 180^o[/tex]
Step-by-step explanation:
Given
[tex]\angle 1[/tex] and [tex]\angle 2[/tex]
Required
The relationship between them [tex]\angle 1[/tex] and [tex]\angle 2[/tex]
From the question, we understand that [tex]\angle 1[/tex] and [tex]\angle 2[/tex] are supplementary
Supplementary angles add up to 180.
So, the relationship between [tex]\angle 1[/tex] and [tex]\angle 2[/tex] is:
[tex]\angle 1 + \angle 2 = 180^o[/tex]
2. In a certain company, the senior employees have an average of 16 years of work experience and the junior employees have an average of 4 years of work experience. If the average number of years of experience for all the senior and junior members is 7 years, then what is the ratio of senior members to junior members at the company
Answer:
The ratio of senior members to junior members at the company is 1 : 3
Step-by-step explanation:
The given average number of years of experience of the senior employees, x = 16 years
The given average number of years of experience of the junior employees, y = 7 years
Let a represent the number of senior employees in the company, and let b represent the number of junior workers in the company, we have;
(16·a + 4·b)/(a + b) = 7
∴ (16·a + 4·b) = (a + b) × 7 = 7·a + 7·b
16·a - 7·a = 7·b - 4·b
9·a = 3·b
a/b = 3/9 = 1/3
a/b = 1/3
The above equation, expressed as a ratio is, a : b = 1 : 3
Therefore;
The ratio of senior members to junior members at the company, a : b = 1 : 3.
What is the quotient?
(-3)
(-3)²
O-9
1
o
1
9
100
O 9
Answer:
(-3)
Step-by-step explanation:
follow me if you want
what is the relation that represents the relation
Answer:
what can i help u with
Step-by-step explanation:
I really can't help u with that sorry i am bad at math
Help me pls its Pythagorean theorem I need help
Answer:
the answer is 3.81
but rounding it it will be 3.8 meters
Step-by-step explanation:
Pythagorean theorem says
a²+b²=c²
so,
take take the Lowest measurement as a² which will be 7 and take 8 as the hypotenuse or the longest side which is c²
then put it all together you get
7²+x²=8²
we made b as x because we will be finding b
then substitute the values
x²=8²-7²
x²=64-49
x²=15
to remove that square from the x you then put square root in both
✓x²=✓15
press in the calculator, root of 15 will be about 3.81
now we got
x=3.81
x is the missing measurement
factor and solve the problems in the photo ……….. pleaseeeee help i haven’t done algebra in 2 years
Answer:
30. 2x²-x-1=0
or, 2x²-2x+x-1=0
or, 2x(x-1)+1(x-1)=0
or, (x-1)(2x+1)=0
so, x-1 = 0 or, x = 1
and 2x+1 = 0 or, 2x = -1 or, x = -1/2
so, x = 1 and 1/2
31. 3x²-14x=5
or, 3x²-14x-5=0
or, 3x²-15x+x-5=0
or, 3x(x-5)+1(x-5)=0
or, (x-5)(3x+1)=0
so, x-5=0 or, x=5
and 3x+1=0 or, 3x=-1 or, x=-1/3
so, x = 5 and -1/3
Answered by GAUTHMATH
Let be the density function for the shelf life of a brand of banana which lasts up to weeks. Time, , is measured in weeks and . Incorrect answer icon Your answer is incorrect. Find the mean shelf life of a banana using . Round your answer to one decimal place. Mean
The question is incomplete. The complete question is :
Let [tex]p(t) = -0.0375t^2 + 0.225t[/tex] be the density function for the shelf life of a brand of banana which lasts up to 4 weeks. Time, t, is measured in weeks and [tex]$0 \leq t \leq 4$[/tex]. Incorrect answer icon Your answer is incorrect. Find the mean shelf life of a banana using . Round your answer to one decimal place.
Answer:
2.4
Step-by-step explanation:
Given :
[tex]p(t) = -0.0375t^2 + 0.225t[/tex]
Mean :
[tex]$=\int_0^4 tp (t) \ dt$[/tex]
[tex]$=\int_0^4 t (0.0375 t^2 + 0.225t) \ dt$[/tex]
[tex]$=-0.0375 \int_0^4 t^3 \ dt + 0.225 \int_0^4 t^2 \ dt$[/tex]
[tex]$=-0.0375 \left[ \frac{t^4}{4} \right]^4_0 + 0.225 \left[ \frac{t^3}{3} \right]^4_0$[/tex]
[tex]$=-0.0375 (64) + 0.225 \left( \frac{64}{3} \right)$[/tex]
[tex]$=-2.5 + 4.8$[/tex]
= 2.4
Therefore, the mean is 2.4
HELP ME PLS ITS PYTHAGOREAN THEOREM
Answer:
82
Step-by-step explanation:
You are looking for the hypotenuse.
c = ?
a = 80
b = 18
c^2 = a^2 + b^2
c^2 = 18^2 + 80^2
c^2 = 324 + 6400
c^2 = 6724
sqrt(c^2) = sqrt(6724)
c = 82 inches
Answer:
[tex]\boxed {\boxed {\sf 82 \ inches}}[/tex]
Step-by-step explanation:
We are asked to find the length of the rake.
We know it hits the wall 80 inches above the ground and the bottom of the rake is 18 inches away from the wall. The point where the top of the rake hits the wall and the distance away from the wall are the legs that form a right angle and the rake is the hypotenuse.
We want to find the hypotenuse or the length of the rake. We will use the Pythagorean Theorem.
[tex]a^2+b^2=c^2[/tex]
In this theorem, a and b are the legs and c is the hypotenuse.
The length of the legs are 80 inches (distance from ground to top of rake) and 18 inches (distance from wall to bottom of rake). The hypotenuse is unknown.
a= 80 in b= 18 inSubstitute the known values into the formula.
[tex](80 \ in)^2+(18 \ in)^2= c^2[/tex]
Solve the exponents.
(80 in)²= 80 in*80 in= 6400 in²(18 in)²= 324 in²[tex]6400 \ in^2+ 324 \ in^2= c^2[/tex]
Add.
[tex]6724 \ in^2=c^2[/tex]
We are solving for c, the hypotenuse, so we must isolate the variable. It is being squared. The inverse of a square is a square root, so we take the square root of both sides.
[tex]\sqrt {6724 \ in^2}= \sqrt{c^2}[/tex]
[tex]\sqrt{6724 \ in^2}=c[/tex]
[tex]82 \ in =c[/tex]
The length of the rake is 82 inches.
Find the value of x and found to the nearest degree help ASAP
Answer:
22
Step-by-step explanation:
sin(X) = perpendicular/base
sin(X) = 7/19
X=arcsin(7/19)=22
The entrance ticket for a carnival costs $89.97, which includes a royal meal
that costs $10.85, 1 play station game, and 3 water rides (Each water ride
costs the same price). The cost of a water ride is twice as that of a play
station game. Find the cost of a water ride. Estimate to the nearest tenths.
Answer:
Cost of a play station game = $11.3
Cost of each water ride = $22.6
Step-by-step explanation:
Entrance tickets = $89.97
Royal meal = $10.85
Cost of a play station game = x
Cost of each water ride = 2x
Find the cost of a water ride
Entrance tickets = Royal meal + 1 play station game + 3 water rides
89.97 = 10.85 + 1(x) + 3(2x)
89.97 = 10.85 + x + 6x
89.97 = 10.85 + 7x
89.97 - 10.85 = 7x
79.12 = 7x
x = 79.12/7
x = 11.302857142857
Approximately to the nearest tenth
x = $11.3
Cost of a play station game = x = $11.3
Cost of each water ride = 2x
= 2(11.3)
= $22.6
I really need help anyone know which option is correct.?
Answer:
B, [tex]-\frac{1}{2}[/tex]
Step-by-step explanation:
This problem is essentially asking one to envision a line passing through the set of points on the coordinate plane, then to find the constant of proportionality of that line. The constant of proportionally, also known as the rate of change, or the slope, is a number that can be used to describe the range that happens between points on a line. The following formula can be used to find the slope of a line passing through a set of points.
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Where the points ([tex]x_1,y_1[/tex]) and ([tex]x_2,y_2[/tex]) are points on the line.
As one can see, on the given coordinate plane, the points ([tex]2,-1[/tex]), and ([tex]4,-2[/tex]) are on the coordinate plane. Substitute these points into the formula to find the slope of the line, then simplify to evaluate the equation and find the slope,
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
([tex]2,-1[/tex]), ([tex]4,-2[/tex])
[tex]=\frac{-2-(-1)}{(4)-(2)}[/tex]
[tex]=\frac{-2+1}{4-2}\\\\=\frac{-1}{2}\\\\=-\frac{1}{2}[/tex]
Please help me fast
Answer:
864
Step-by-step explanation:
A=6a^2=6·12^2=864
Answer:
864 in^2
Step-by-step explanation:
2(144+144+144) = 2(432) = 864 in^2.
Hope this helped!
5-6. Find the constant of proportionality (unit rate) for each set of values. Then use the constant of proportionality to write an equation that relates the two values in the table.
5. profit per shirt sold pound Shirts (s) 5 10 15 Profit (p) $7.50 $15.00 $22.50 Apples (a) 4 5 6 Price (p) $7.96 $9.95 $11.94
Hi
6 . Price per
7-8. Determine whether the relationship between the two quantities shown in the table is proportional by graphing on the coordinate plane. Explain your reasoning.
Number of 1 2 3 4 5 Pen sCost $2 54 56 58 $10 7. Cost of Buying Pens Number of 1 2 3 4Minutes Words Typed 50 90 140 180 8. Words Typed.
Solve this fast and I’ll give you 47 points
5. The constant of proportionality is 1.5
The equation is p = 1.5×s
6. The constant of proportionality is 1.99
The equation is p = 1.99 × a
7. The variables Number of Pens and Cost are not proportional
Please find attached the required graph
8. The variables Number of minutes and Words Typed are not proportional
Please find attached the required graph
The procedure for finding the answers are as follows;
5. The given data are presented as follows;
[tex]\begin{array}{ccc}Shirts \ (s)&&Profit \ (p)\\5&&7.50\\10&&15.00\\15&&22.50\end{array}[/tex]
Where two variables, s and p are proportional, we get;
p ∝ s
Therefore;
p = C × s
C = p/s
Where;
C = The constant of proportionality
Therefore, the constant of proportionality, C, of the given variables, (number of shirts, s, and profit, p, is found as follows;
C = 7.50/5 = 15.00/10 = 22.50/15 = 1.5
The constant of proportionality, C = 1.5
The equation that relates the two values is p = 1.5×s
6. For the apples to price relationship, we have;
[tex]\begin{array}{ccc}Apples \ (a)&&Price\ (p)\\4&&7.96\\5&&9.95\\6&&11.94\end{array}[/tex]
Therefore;
p ∝ a
p = C × a
C = p/a
Plugging in the values gives;
C = 7.96/4 = 9.95/5 = 11.94/6 = 1.99
The constant of proportionality, C = 1.99
Therefore, the equation relating the two values is p = 1.99 × a
7. The given data is presented in a tabular form as follows;
[tex]\begin{array}{ccc}Number \ of \ pens &&Cost\ \\1&&52\\2&&54\\3&&56\\4&&58\end{array}[/tex]
A set of data is proportional or has a proportional relationship if their x, and therefore, y-intercept is (0, 0)
From the graph of the data, created with MS Excel, the y-intercept is 50 which is not equal to zero, therefore, the relationship between the data is not a proportional relationship
8. The given data is presented in a tabular form as follows;
[tex]\begin{array}{ccc}Number \ of \ Minutes&&Words \ Typed\ \\1&&50\\2&&90\\3&&140\\4&&180\end{array}[/tex]
From the graph of the data, we have that the y-intercept of the line of best fir is 5, therefore, the relationship is not a proportional relationship
Learn more about proportional relationships here;
https://brainly.com/question/24289972.
find find x in the diagram with angle 56 degree
Please help im stuck on this pls help ( i have to sort the cubes some how) i will give brainliest to who gets it right
Answer:
see image
three groups of 4 means 12 / 4 = 3
Step-by-step explanation:
write a linear equation in standard form for the line that goes through(2.-3) and (4 -2)
Answer:
y =1/2x -4
Step-by-step explanation:
x1 y1 x2 y2
2 -3 4 -2
(Y2-Y1) (-2)-(-3)= 1 ΔY 1
(X2-X1) (4)-(2)= 2 ΔX 2
slope= 1/2
B= -4
Y =0.5X -4
You expect to have $1000 in one year. A bank is offering loans at 6% interest per year.How much can you borrow today
Answer:
$943.39622
Step-by-step explanation:
A = final amount, = 1000
Interest, r = 6% = 0.06
Time, t = 1
Principal, P = amount you can borrow today
Using the simple interest formula :
A = P(1 + rt)
1000 = P(1 + 0.06*1)
1000 = P(1 + 0.06)
1000 = P(1.06)
P = 1000 / 1.06
P = 943.39622
Please hurry I will mark you brainliest
ABCD is rotated counterclockwise about the origin. By how many degrees
was ABCD rotated?
Answer:
180 degrees
Step-by-step explanation:
ABCD is now opposite where it started, so it was rotated 180 degrees
I hope this helps!
Answer:
180 degrees
Step-by-step explanation:
x^2 + 2*x*1/x+ 1/x^2
Answer:
the land of seven is a person that has a unique and the world
A circle has a radius of 8cm. An angle of 1.4 radians is subtended at the center by an arc. Calculate the length of the arc
Answer:
11.2 cm
Step-by-step explanation:
Given that;
Arc Length Formula (if θ is in radians): l = ϴ × r
ϴ = angle subtended in radians
r= radius of the circle
l = 8cm × 1.4 radians
l= 11.2 cm
write two inequalities to compare -2 and -18
Step-by-step explanation:
here's the answer to your question
