Answers
Answer:
a) The acceleration between 20 and 40 seconds is equal to the slope in that range.
Remember that for aline that passes through the points (a, b) and (c, d) the slope is:
slope = (d - b)/(c - a)
In this case we can see the points:
(20s, 2m/s) and (40s, 4m/s)
Then the slope (and thus the acceleration) is:
slope = (4m/s - 2m/s)/(40s - 20s) = (2m/s/20s) = 0.1 m/s^2
The acceleration between 20 seconds and 40 seconds is 0.1 m/s^2
b) The total distance travelled is equal to the area under the curve.
So we could just count the number of squares, this is the easy way.
We can see that each square measures 10 seconds by 1 m/s, then the "area" of each square represents:
a = (10s)*(1m/s) = 10m
This means that each square represents a distance of 10 meters.
We can count that:
between 0s and 10s we have 1 whole square.
between 10s and 20s we have 2 whole squares.
between 20s and 30s we have 2 and half squares.
between 30s and 40s we have 3 and half squares.
Then the total number of squares under the curve is:
1 + 2 + 2.5 + 3.5 = 3 + 2.5 + 3.5 = 3 + 6 = 9
So we have 9 whole squares under the curve, and each square represents a distance of 10 meters, so the total distance traveled is:
Distance = 9*10m = 90m
c) We have an isosceles triangle where we know that one side measures 8.2 cm and another side measures 9.4cm
An isosceles triangle has two equal sides and one different.
So if we want to have the maximum perimeter, the two equal sides must have the longest side length (9.4 cm)
Then the (largest) perimeter of the triangle (the sum of the lengths of all 3 sides) is:
8.2cm + 9.4cm + 9.4cm = 27cm
Related Questions
12 cm
8 cm
5 cm
5 cm
17 cm
26. The area of the composite figure above is_cm-square.
1 point
Your answer
Answers
What is the area of this?
Answers
Answer:
49 cm²
Step-by-step explanation:
Drag the top of the rectangle up and down in the tool below to explore the
functional relationship between the two shapes.
The ? is a function of the ?
Answers
Answer:
A.
Step-by-step explanation:
i just took it
Answer:
the answer is c I just did the test
Help me solve this please!!
Answers
Answer:
The answer is
[tex]a = 9 \sqrt{3} \: and \: b = 9[/tex]
Answer:
B
Step-by-step explanation:
Using the sine/ cosine ratios in the right triangle and the exact values
sin60° = [tex]\frac{\sqrt{3} }{2}[/tex] , cos60° = [tex]\frac{1}{2}[/tex]
sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{a}{18}[/tex] ( multiply both sides by 18 )
18 × sin60° = a , then
a = 18 × [tex]\frac{\sqrt{3} }{2}[/tex] = 9[tex]\sqrt{3}[/tex]
-------------------------------
cos60° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{b}{18}[/tex] ( multiply both sides by 18 )
18 × cos60° = b , then
b = 18 × [tex]\frac{1}{2}[/tex] = 9
The measurements of an cuboidal oil box are 30cm, 40cm and 50cm respectively. The cost of the tin sheet used in making the box is Rs. 10 per m². Find the cost of the tin required to make 20 such boxes ?
Answers
Answer:
Cost of 20 boxes = RS. 188
Step-by-step explanation:
Given:
Length of box = 30 cm = 0.3m
Width of box = 40 cm = 0.4 m
Height of box = 50 cm = 0.5 m
Cost per m² = Rs. 10
Find:
Cost of 20 boxes
computation:
TSA of box = 2[lb + bh + hl]
TSA of box = 2[(0.3)(0.4) + (0.4)(0.5) + (0.5)(0.3)]
TSA of box = 2[0.12 + 0.2 + 0.15]
TSA of box = 0.94 m²
Cost of 20 boxes = 0.94 x 20 x 10
Cost of 20 boxes = RS. 188
An observer in a hot air balloon spots an object on the ground. He knows that he is 150 m high and 285 m horizontally from the object. What is the angle of depression at which the observer spotted the object?
Round to the nearest tenth.
Answers
Answer:
27.8 degrees
Step-by-step explanation:
Question 12
If a car tries to stop on ice, the distance the car slides can be modeled by the equation s= 50d + 25 where s stands
for speed in mph and d stands for distance in feet. What distance will you slide if your car is traveling at a speed of
55 mph?
Answers
[tex]s = 50d + 25[/tex]
[tex]55 = 50d + 25[/tex]
[tex]55 - 25 = 50d + 25 - 25[/tex]
[tex]30 = 50d[/tex]
[tex] \frac{30}{50} = \frac{50d}{50} [/tex]
[tex]0.6 = d[/tex]
Your car would slide a distance of 0.6 feet.
Which angles in the picture are NOT supplementary?
2 and 3; 1 and 4
1 and 2; 2 and 3
1 and 3; 2 and 4
4 and 1; 3 and 4
Answers
Answer:
1 and 3; 2 and 4
Step-by-step explanation:
Supplementary angles add up to 180 degrees, which is a straight line.
we can see that angles 2 and 3 make the / line, as do 1 and 4
1 and 2 make up the \ line, while, as mentioned above, 2 and 3 make /
4 and 1 is the same as 1 and 4 so they still create / and angles 3 and 4 make the \
What is the sum of the first eight terms of the geometric series 2 + 6 + 18 + 54+ ...? 510 3,280 6,560 4,374
Answers
Answer:
6,560
Step-by-step explanation:
Answer:
6,560
Step-by-step explanation:
We are given the first four terms of the sequence:
2, 6, 18, 54, ...
We need to find another four terms to find the sum.
I don't know how to explain how I got the pattern but you have to multiply by 3:
2 * 3 = 6
6 * 3 = 18
18 * 3 = 54
To find the next term, we will multiply 54 by 3:
54 * 3 = 162
2, 6, 18, 54, 162, ...
We now have 5 terms.
Next, multiply 162 by 3:
162 * 3 = 486
2, 6, 18, 54, 162, 486, ...
We now have 6 terms.
Next, multiply 486 by 3:
486 * 3 = 1458
2, 6, 18, 54, 162, 486, 1458, ...
We now have 7 terms.
Lastly, multiply 1458 by 3:
1458 * 3 = 4374
2, 6, 18, 54, 162, 486, 1458, 4374, ...
We now have the first 8 terms.
Now, we add all these numbers together:
2 + 6 + 18 + 54 + 162 + 486 + 1458 + 4374 = 6560
The sum of the first eight terms of the geometric sequence is 6,560
316 students went on a field trip. Six buses were filled and 10 students traveled in cars. How many students
were in each bus?
Answers
Answer:
51
Step-by-step explanation:
316-10= 306
306 divided by 6 = 51
is the answer 84.2??? if not pls explain THANK U ITS GEOMETRY
Answers
Sin(40)=x/19
*19 *19
12.2129=x
what is 26.02-5.348=??????
Answers
Answer:
20.672
Step-by-step explanation:
26.02 - 5.348= 20.672
that's what I got... hopefully I got what your looking for.. :D
I need to know what the answer to this problem is the right answer 4/8
Answers
The question is 3(2x +4) = 6x + 10
Answers
Answer:
no solution
Step-by-step explanation:
when you distribute, the 6x on each side cancel out leaving there to be no solution to the problem. I attached a photo of my work as well.
Answer:
The answer is False meaning it's no solution
Step-by-step explanation:
1. Distribute 3 through the parentheses which will be 6x+12=6x+10
2.Cancel equal terms on both sides of the equation and you will get 12=10 which isn't a true statement.
Find and reduce
5/6 - 2/3 x 3/4
Answers
Answer:
1/3
Step-by-step explanation:
Answer: 1/3
Step-by-step explanation:
With explanation please help
Answers
Answer:
first you simplify the first part which will be
(15)^2-(18+9)*(6)
225-27*6
225-162
Answer will be 63
I showed my work :)
Mr. Lowe had to replace the fluid in his tractor tire. The tire needed 73
gallons of fluid at $1.95 per gallon. About what did it cost to replace the
needed fluid? *
Answers
Answer:
$142.35
Step-by-step explanation:
To rent a limousine, Theo must pay an initial fee of
$
45
in addition to
$
12
for every hour (
h
) he has the limousine reserved. To calculate the final cost (
c
), Theo wrote the following equation.
c
=
45
+
12
h
If the final bill amounts to
$
123
, how many hours did Theo have the limousine reserved
Answers
Answer:
6.5 hours
Step-by-step explanation:
123-45=78
78/12=6.5
Theo had the limousine reserved for 6.5 hours.
What is algebraic Expression?Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.
Theo's equation for the cost of renting a limousine is:
c = 45 + 12h
where c is the total cost,
and h is the number of hours reserved.
If the final bill amounts to $123,
we can set c equal to 123 and solve for h:
123 = 45 + 12h
Subtracting 45 from both sides:
78 = 12h
Dividing both sides by 12:
h = 6.5
Therefore, Theo had the limousine reserved for 6.5 hours.
Learn more about algebraic Expression here:
https://brainly.com/question/953809
#SPJ3
Seis albañiles hicieron una barda de 180 m2 durante 12 días. ¿Cuántos días necesitaran 5 albañiles para levantar una barda de 100 m2 ?
Answers
Answer:
8 dias
Step-by-step explanation:
Primero tenemos que averiguar cuantos m2 pueden levantar los seis albañiles en 1 dia. Esto lo calculamos dividiendo los 180m2 por los 12 dias que les llevo hacerlo.
180 / 12 = 15 m2 por dia
Ahora tenemos que dividir este numero por los 6 albañiles para calcular cuantos m2 hace 1 albañil por dia
15 / 6 = 2.5
Ahora tenemos que multiplicar este m2 por los 5 albañiles que pide la pregunta
5 * 2.5 = 12.5 m2 por dia
Finalmente, necesitamos dividir los 100 m2 por los 12.5 m2 que pueden hacer los 5 albañiles por dia.
100 / 12.5 = 8 dias
List the domain and range of the relation. {(7,-8), (4,4), (0,-8), (4,1),(7,8)}
Answers
Answer:
Domain: {7, 4, 0} Range: {-8, 4, 1, 8}
Step-by-step explanation:
the domain is just the x values and the range is just the y values when just a list of cordinates are given.
0.86 write the decimal as a fraction in simplest form
Answers
Answer:
43/50
Step-by-step explanation:
should be right.
Answer:
43/50
Step-by-step explanation:
86/100 divided by 2
HELP AND WILL GIVE BRAINLIEST!!! Solve for x for the image below
Answers
Answer:
umm x=30
Step-by-step explanation:
Answer:
x=22
Step-by-step explanation:
All angles in a triangle add up to 180 degree.
180-(6x-7) = the supplementary angle inside the upper left corner.
180-(6x-7)+2x+(103-x) = 180
180-6x+7+2x+103-x = 180
reduce
-5x = -110
-5x/-5 = -110/-5
x=22
you can check by using the values of x
−4p+9=−5
Plzzzzzzz help
Answers
Answer:
p = 3.5 or p = 7/2
Step-by-step explanation:
-4p+9= -5
or, -4p = - 14
or, p = -14/-4
or, p = 7/2 = 3.5
Answer:
p = 3.5
Step-by-step explanation:
What you would do to get p is subtract 5 from both sides of the equation to leave the number and p, THEN divide both sides by the numerator of -4.
-4p + 9 = -5
- 9 -9
__________
-4p = -14
__ __
-4 -4
Thus, p = 3.5
-30-0.6k
what does k equal?
Answers
Answer:
K would equal to:
K= 50
Hope that helps! :)
Step-by-step explanation:
Find the distance between
Answers
Answer:
4,3
Step-by-step explanation:
Edunuity sucks;-;
hi-
Please help, and plz don't be saying this is the right answer if u dont know for sure.
Answers
Answer:
135 degrees
Step-by-step explanation:
(8x-7)+(12x+57)=180
combine like terms
20x+50 = 180
subtract 50 on both sides
20x = 130
divide by 20
x = 130/20
x = 13/2
x = 6.5
cpq = 12x+57
cpq = 78 + 57
cpq = 135
90% of e is 30. What is e?
Answers
Answer:
27
Step-by-step explanation:
Answer:
e = 33.3 (approx. )Step-by-step explanation:
To find out - 'e'
Given,
90 % of e = 30
[tex] = > \frac{90}{100} \times e = 30[/tex]
[tex] = > e = 30 \times \frac{100}{90} [/tex]
[tex] = > e = \frac{100}{3} [/tex]
=> e = 33.3333......
=> e = 33.3 (approx. ) (Ans)
Find the length of side a.
10
A
6
A. 4
B. 64
C. V 136
D. 8
PREVIOUS
Answers
Answer:
D .8
Step-by-step explanation:
hypotenuse (h) = 10
base (b) = 6
perpendicular (p) = a= ?
We know by using Pythagoras theorem we get
p = √ h² - b²
a = √ 10² - 6²
a = √ 64
a = 8
Hope it will help :)
what are the different methods in finding the LCM
Answers
Answer:
4 methods are there
Step-by-step explanation:
Find the prime factorization of each number.Write each number as a product of primes, matching primes vertically when possible.Bring down the primes in each column.Multiply the factors to get the LCM.please mark me as brainlist
Select the correct answer.
If the factors of function f are (x − 6) and (x − 1), what are the zeros of function f?
A.
-6 and -1
B.
-1 and 6
C.
1 and 6
D.
-6 and 1
Answers
Answer:
6 and 1
Step-by-step explanation:
Let x - 6 = 0 and x - 1 = 0
x = 6 and x = 1
