Answers:
Part (a) upper bound for area = 4527.7056 square cmPart (b) lower bound for perimeter = 278 cm======================================================
Explanation:
Part (a)
The horizontal portion is shown to be 87.3 cm long. This is the result after rounding has occurred. Specifically, rounding to one decimal place (tenths). The question is: What could the number have been before rounding?
You have to think in reverse of the usual rounding process.
The values 87.25, 87.26, 8.27, ... 8.33, 87.34 all round to 87.3 when we round to one decimal digit. Note the hundredths digit is increasing by 1 each time. We can see that 87.34 is the largest possible value for the horizontal piece. After that, 87.35 will round to 87.4 which is just out of reach.
Through similar logic/reasoning, the vertical side can be at most 51.84 cm.
The area of the rectangle could be 87.34*51.84 = 4527.7056 which is the upper bound for the area. This is the largest possible area, given the values in the diagram, since we made each value as large as possible.
In short, 4527.7056 square cm is the max area.
-----------------------------------
Part (b)
We use the idea of part (a), but we'll use the smallest possible values this time.
So we go with 87.25 for the horizontal portion and 51.75 for the vertical portion.
Compute the perimeter with these smallest dimensions.
P = 2*(length + width)
P = 2*(87.25 + 51.75)
P = 278
The smallest perimeter possible is 278 cm which is the lower bound of the perimeter. This is guaranteed to be the smallest perimeter possible because we made the sides as small as possible, while staying in the restrictions as discussed in the previous section.
In ΔRST, the measure of ∠T=90°, the measure of ∠R=67°, and TR = 94 feet. Find the length of RS to the nearest tenth of a foot......
Answer:
240.6 ft is your answer of your question.
Answer:
240.6 feetStep-by-step explanation:
to understand thisyou need to know about:trigonometryPEMDASlet's solve:to find x we will use cos function
[tex] \quad \: \cos( \theta) = \dfrac{adj}{hypo} [/tex]
substitute the value of [tex]\theta[/tex] and adj:
[tex] \quad \: \cos( {67}^{ \circ} ) = \dfrac{94}{x} [/tex]
cross multiplication:
[tex] \quad \: x\cos(67^{\circ})= 94 [/tex]
divide both sides by cos(67°) :
[tex] \quad \: \dfrac{x \cos( {67}^{ \circ} ) }{ \cos( {67}^{ \circ} ) } = \dfrac{94}{ \cos( {67}^{ \circ} ) } \\ \therefore \: x = 240.6[/tex]
A crate weighing 2400 N is lifted by a crane
to a platform 5.2 m above the ground. What
is the gravitational PE of the crate?
Answer:
12,480Joules
Step-by-step explanation:
GPE = mass * acceleration due to gravity * height
Since Force = mass * acceleration due to gravity
GPE = Force * Height
GPE = 2400 * 5.2
GPE = 12,480Joules
Hence the gravitational PE of the crate is 12480Joules
Let x = 6. What is the value of the expression 5x2+x−7? Enter your answer in the box.
179 is the value of the expression
Step-by-step explanation:
I did math
unos amigos compraron 1/2 de pizza hawaiana 2/4 de peperoni 1/2 de pollo y 3/4 de salchicha ¿cuanta pizza compraron en total?
Answer:
Los amigos compraron 2 pizzas más [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
Para conocer la cantidad de pizza que los amigos compraron en total, debes sumar la cantidad de cada clase que compraron:
[tex]\frac{1}{2} +\frac{2}{4} +\frac{1}{2} +\frac{3}{4}[/tex]
Para sumar estos valores, debes encontrar un denominador común. Como 4 es múltiplo de 2, el 4 puede ser usado como denominador común. Este común denominador se divide entre el denominador de cada fracción. El resultado de la división se multiplica por el numerador de la misma fracción. Una vez que se divide y se multiplica, el resultado se coloca en el numerador. Realizando el mismo procedimiento con cada fracción y se realiza la suma con los numeradores que resultaron:
[tex]\frac{1}{2} +\frac{2}{4} +\frac{1}{2} +\frac{3}{4}=\frac{2+2+2+3}{4} =\frac{9}{4}[/tex]
Siendo [tex]\frac{9}{4} =2.25=2\frac{1}{4}[/tex], entonces los amigos compraron 2 pizzas más [tex]\frac{1}{4}[/tex]
the shaded model represents 100%
Which model represents 33 1/3
PLZZZZZ HELPPPPPPPPPPPPPP
Answer: the picture is blurry but it would be the third option. One box out of three shaded.
Step-by-step explanation:
33 1/3 is one third of 100.
Choose the picture that has 1 out of three boxes shaded. This would represent one third.
Please anwser this ASAP
Solve for x based on the following system of equations:
x + y = 5
2x + 3y = 20
-10
-5
-2
5
10
Answer:
x = -5
Step-by-step explanation:
x + y = 5 can be also written as 3x + 3y = 15 by times 3 on both side, let it be equation (1), then let 2x + 3y = 20 be equation (2), then use equation (2) - (1), can get (2x - 3x) + (3y - 3y) = 20 - 15 ---> -x = 5, then x = -5.
Which best describes why these two figures are similar or not similar?
Answer:
first one top left
Step-by-step explanation:
Sean practiced his violin for 3/4 of an hour each day for 6 days. How many
hours did Sean practice at the end of 6 days?
Answer:
4 and 1/2 hours at the end of 6 days :)
What is the answer for
a-3=9
Sylvia and her sister are both reading books. Sylvia reads 2 pages every 5 minutes. Her sister reads 3 pages every 6 minutes. What is the difference between Sylvia and her sisters reading rates, in pages per hour? A B. 8 C 24 30
Answer:
6
Step-by-step explanation:
Silvia: 2 pages to 5 minutes
into...
Silvia: 1 page to __ minutes
Find Unit Rate : 5/2= 2.5
Unit Rate for Silvia is 2.5
Written out : 2 pages x 2.5 = 5 minutes
Example : 1 page to 2.5 minutes
What we found : ___ pages to 60 minutes(60 divided by 2.5) is
24 pages to 60 minutesSilvia's sister: 3 pages to 6 minutes
into...
Silvia's sister: 1 pages to ___ minutes
Find Unit Rate : 6/3= 2
Unit Rate for Silvia is 2
Written out : 3 pages x 2 = 6 minutes
Example : 1 page to 2 minute
What we found : ___ pages to 60 minutes(60 divide by 2) is
30 pages to 60 minutesFinal Step : 30 - 24 = 6
What is 2 - -3.......
Step-by-step explanation:
2 - ( - 3)
= 2 + 3
= 5
Hope it helps
Answer:
5
Step-by-step explanation:
2 - ( - 3) = 2 + 3 = 5
Which expressions are equivalent to 10a - 25 + 5b
Answer:Move −25-25.
10a+5b−25
Step-by-step explanation:
Answer:
(-2a +5 - b)(-5)
Step-by-step explanation:
HELP ASAP
The factorization of a trinomial is modeled with algebra tiles. An algebra tile configuration. 3 tiles are in the Factor 1 spot: 1 is labeled + x, 2 are labeled negative. 4 tiles are in the Factor 2 spot: 1 is labeled + x and 4 are labeled +. 12 tiles are in the Product spot: 1 is labeled + x squared, 2 are labeled negative x, the 3 tiles below + x squared are labeled + x, and the 6 tiles below the negative x tiles are labeled negative. Which trinomial is factored?
x^2 + 3x – 6
x^2 + 5x – 6
x^2 + 3x – 2
x^2 + x – 6
Answer:
its A or the first one ;)
Step-by-step explanation:
Crystal earns $5.50 per hour mowing lawns.
a. Write a rule to describe how the amount of money m earned is a function of the number of hours h spent mowing lawns.
b. How much does Crystal earn if she works 3 hours and 45 minutes?
m(h) = 5.50h; $18.98
m(h) = [tex]\frac{h}{5.50}[/tex]; $0.68
m(h) = 3h + 45; $61.50
m(h) = 5.50h; $20.63
Answer:
For this case, the first thing we must do is define a variable:
h: number of hours worked.
We now write the equation that models the problem:
So, for 3 hours and 45 minutes we have:
Remember that we have the following conversion:
1 hour = 60 minutes
Substituting values:
Answer:
Crystal earns about:
m = $ 20,625
Step-by-step explanation:
Answer:
1) Required equation
2)Crystal earns $20.625 in 3 hours and 45 minutes.
Step-by-step explanation:
Given : Crystal earns $5.50 per hour mowing lawns.
To find :
1) Write a rule to describe how the amount of money m earned is a function of the number of hours h spent mowing lawns.
It is given that Crystal earns $5.50 per hour mowing lawns.
Let m is the amount of money earned
and h is the number of hours spent
So, The equation form by the statement is
2) How much does Crystal earn if she works 3 hours and 45 minutes
1 hour=60 minutes
So, for 3 hours and 45 minutes
In 1 hour she earn $5.50
In 3.75 hours she earn
Crystal earns $20.625 in 3 hours and 45 minutes.
There are two identical glasses. One glass is 3/5 full. The other is 7/8 full.
Water is poured from one glass to the other so that one of them is now full.
What fraction of the other glass is filled?
[2]
Answer:
A: 19/40
Step-by-step explanation:
LCD = 40
7*5=35 ->35/40
3*8=24 ->24/40
combine like terms
for simplicity, I'll use a mixed number
1 19/40
subtract your "full glass"
1 19/40 - 1 = 19/40
Pls help I don’t understand. I will give 5.0/5 and brainliest
Answer:
The 3rd one
Step-by-step explanation:
I took the Quiz
PLEASE HELP!!! ILL GIVE BRAINLIEST!!! The graphs below have the same shape. What is the equation of the blue
graph?
f(x) = x
W
g(x) = ?
g(x) =
O A. g(x) = (x - 4)2 + 1
O B. g(x) = (x - 4)2 - 1
O c. g(x) = (x + 4)2 - 1
O D. g(x) = (x+4)2 + 1
Answer:
the answer for the problem is option B. g(x) = (x - 4)2 - 1
4. On a 3-hour trip, a car travels 156 miles.
What is the average speed of the car on this
trip?
Answer:
v = 52 mph
Step-by-step explanation:
Given that,
The distance travelled by the car, d = 156 miles
Time, t = 3 hour
We need to find the average speed of the car. The formula for the average speed is given by :
[tex]v=\dfrac{d}{t}\\\\v=\dfrac{156}{3}\\\\v=52\ mph[/tex]
So, the average speed of the car is equal to 52 mph.
11 Points 11 Points NEED HELP PLEASE
Answer: a
Step-by-step explanation:
So XY is a quarter of the circumference, that means the other part is 3/4
circumference is 2pir which is 20pi
20pi x 3/4 = 15 pi m
Answer:
The answer is 30πm.
Hope it helps uh.
Thanks
50-(14+12+2(5+2(2)+3)
Answer:
0
Step-by-step explanation:
50-(14+12+2 (5+2 (2)+3)
50-(28 (7 (2)+3)
50-(28 (14+3)
50-(28×17)
50-476
426
What is the solution of 10(w + 3)= 70?
Answer:
The solution is w=4
simply
-30
divide by 10
Answer:
W=4
Step-by-step explanation:
1 0 ( + 3 ) = 7 0
1 0 + 3 0 = 7 0
Subtract 30 from both sides of the equation
simplify
10w=40
Divide both sides of the equation by the same term
10/40
W=4
On the graph shown, line C is the parent function
f(x) = log2 (x).
Which function is graphed as line D?
O g(x) = log2 (x) - 1
O g(x) = log2 (x - 1)
O g(x) = log2 (x) + 1
O g(x) = log2 (x + 1)
Answer:
g(x) = log2 (x) – 1
Step-by-step explanation:
I just did this on Edge
Fond the slop of the linè that passes though (3,- 59) and (57, -41)
Answer:
[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
sam divided his selary equally into two One part was saved for his family and the other part was for his expenses. He withdrew $200 from his share to purchase a watch if he has $215 in his account now, calculate Sam salary
Answer:
His salary is $830
i need help please asap its due
Answer:
D.) $4 per min.
Step-by-step explanation:
in the first increase we go up 5 minutes and up $20
this trend stays equal just with 10 minute and $40 increases
this means that there is $20 for every 5 minutes so to find the unit rate we divide $20 by 5 which gives us 4
hope this helps chu babe <3
Solve the problem in the photo.
Answer:
A, B, C, D, and F
Step-by-step explanation:
Replace x with the number options (remember to multiply the options by a negative one since x is negative).
3*-1=-3 -3 is greater than or equal to -4
-3*-1=3 3 is greater than or equal to -4
4*-1=-4 -4 is greater than or equal to -4
-4*-1=4 4 is greater than or equal to -4
4.001*-1=-4.001 -4.001 is not greater than or equal to -4, so this does not work
-4.001*-1=4.001 4.001 is greater than or equal to -4
Hope this helps!
can someone help me please
Answer:
The last number line
[tex].[/tex]
help me plzzzzzzzz!!!!!!!!!!!!!!!
Helpp!!!! I need the correct answer
I will mark you brainliest
I need a 3 questions answers not just 1 question.
Answer:
Negative Association, Linear Association and Non-Linear Association
Step-by-step explanation: