Answer:
a.
[tex]Length = 25[/tex]
[tex]Width = 14[/tex]
[tex]Perimeter = 78ft[/tex]
b.
[tex]Length = 25.2[/tex]
[tex]Width = 13.6[/tex]
[tex]Perimeter = 77.6ft[/tex]
c.
[tex]Perimeter = 77.54ft[/tex]
Estimate (b) is closer to the actual measurement.
Step-by-step explanation:
Given
[tex]Length = 25.15[/tex]
[tex]Width = 13.62[/tex]
Solving (a): Approximate measurements to whole numbers then estimate the perimeter.
When approximated to whole numbers (i.e. no decimal place), the new measurement is:
[tex]Length = 25[/tex]
[tex]Width = 14[/tex]
The perimeter is calculated as thus:
[tex]Perimeter = 2(Length + Width)[/tex]
[tex]Perimeter = 2(25 + 14)[/tex]
[tex]Perimeter = 2*39[/tex]
[tex]Perimeter = 78ft[/tex]
Solving (b): Approximate measurements to tenth then estimate the perimeter.
When approximated to tenth (i.e. to 1 decimal place), the new measurement is:
[tex]Length = 25.2[/tex]
[tex]Width = 13.6[/tex]
The perimeter is calculated as thus:
[tex]Perimeter = 2(Length + Width)[/tex]
[tex]Perimeter = 2(25.2 + 13.6)[/tex]
[tex]Perimeter = 2*38.8[/tex]
[tex]Perimeter = 77.6ft[/tex]
Solving (c): Exact Perimeter.
Given measurements are:
[tex]Length = 25.15[/tex]
[tex]Width = 13.62[/tex]
The perimeter is calculated as thus:
[tex]Perimeter = 2(Length + Width)[/tex]
[tex]Perimeter = 2(25.15 + 13.62)[/tex]
[tex]Perimeter = 2*38.77[/tex]
[tex]Perimeter = 77.54ft[/tex]
To determine which is nearest, we calculate the absolute difference between each estimate from the actual measurement.
For estimate a
[tex]Difference = |77.54 - 78|[/tex]
[tex]Difference = |-0.46|[/tex]
[tex]Difference = 0.46ft[/tex]
For estimate b
[tex]Difference = |77.54 - 77.6|[/tex]
[tex]Difference = |-0.06|[/tex]
[tex]Difference = 0.06ft[/tex]
The closest to the exact is the one with the smallest difference.
Hence, estimate (b) is closer to the actual measurement.
Rosa is looking at a map of the park that is laid out on a coordinate plane. Rosa is at(1, -1). The shelter house is at (-2, -4) and the fossil exhibit is at (3, 2). Each unit on the map represents 100 feet. How much closer is rosa to the fossil exhibit than to the shelter house
Answer:
[tex]63.709feet[/tex]
Step-by-step explanation:
This deals with the distance between two pointsuse the equation [tex]distance=\sqrt{(x_2-x_1)^{2}+(y_2-y_1)^{2}}[/tex] So we do the follow stepsFind distance from Rosa to Shelter houseFind distance from Rosa to Fossil exhibitSubtract the two answers to see differenceSo distance from Rosa to Shelter, we use (1,-1) and (-2,-4) so you plug your points in as follows [tex](1,-1)=(x_1,y_1)[/tex] and [tex](-2,-4)=(x_2,y_2)[/tex] so then[tex]distance=\sqrt{((-2)-(1))^{2}+((-4)-(-1))^{2}}\\ distance=\sqrt{(-3)^{2}+(-3)^{2}}\\ distance=\sqrt{9+9}\\ distance=\sqrt{18}=4.24264[/tex] approximately (round off as they require)Now putting that into feet [tex]4.24264*100feet=424.264feet[/tex] Then next, distance from Rosa to Fossil exhibit, we use (1,-1) and (3,2) so you plug your points in as follows[tex]distance=\sqrt{((3)-(1))^{2}+((2)-(-1))^{2}}\\ distance=\sqrt{(2)^{2}+(3)^{2}}\\ distance=\sqrt{4+9}\\ distance=\sqrt{13}=3.60555[/tex] approximately (round off as they require)Now putting that into feet [tex]3.60555*100feet=360.555feet[/tex] So right away we know, Rosa is closer to the Fossil exhibit than the ShelterThen to know by how much we subtract the longer distance from the shorter so [tex]424.264feet-360.555feet=63.709feet[/tex]Rosa is closer to fossil exhibit than shelter house.
What is Distance Formula?The two points in the cartesian plane P(a, b) and Q(c, d) then the distance between P and Q is
PQ = √c-a )² + (d-b)²
The distance from Rosa to shelter house
d= √(-2-1)² + (-4 +1)²
d =√9 + 9
d = √18
d = 4.24
and, the distance from Rosa to fossil exhibit
d= √(3-1)² + (2+1)²
d =√4 + 9
d= √13
d= 3.6
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Sam wants to fill a rectangular box with sand for his cat. What measure should be use to find out how much sand he needs to fill the box?
O surface area
O volume
O area
O lateral area
Answer:
volume
Step-by-step explanation:
He wants to FILL the box didn’t say cover it.
HOPE THIS HELPS’
PLZZ MARK BRAINLIEST
Answer:
The other person is correct, it is volume
Step-by-step explanation:
Legit took the test 1 minute ago
If <1=(7−19)°and <2=(+5)°, find the <2
If m<5 = 42° and m<1 = 117°, find m
If M is the midpoint of XY, find the coordinates of X if M(-3,-1) and Y(-8, 6).
Find the distance between the two points. Round to the nearest thousandth.(-8, -2) and (6, -1)
If DE = 4x –1, EF = 9, and DF = 9x –22, find the value of x.
Answer:
We know that the section formula states that if a point P(x,y) lies on line segment AB joining the points A(x
1
,y
1
) and B(x
2
,y
2
) and satisfies AP:PB=m:n, then we say that P divides internally AB in the ratio m:n. The coordinates of the point of division has the coordinates
P=(
m+n
mx
2
+nx
1
,
m+n
my
2
+ny
1
)
Let C(1,1) divides the line segment AB joining the points A(−2,7) and B(x
2
,y
2
) in the ratio 3:2, then using section formula we get,
C=(
m+n
mx
2
+nx
1
,
m+n
my
2
+ny
1
)
⇒(1,1)=(
3+2
3x
2
+(2×−2)
,
3+2
3y
2
+(2×7)
)
⇒(1,1)=(
5
3x
2
−4
,
5
3y
2
+14
)
⇒1=
5
3x
2
−4
,1=
5
3y
2
+14
⇒5=3x
2
−4,5=3y
2
+14
⇒3x
2
=5+4,3y
2
=5−14
⇒3x
2
=9,3y
2
=−9
⇒x
2
=
3
9
,y
2
=−
3
9
⇒x
2
=3,y
2
=−3
Hence, the point B(x
2
,y
2
) is B(3,−3).
Consider the equation 3x + 1 = 2x + 5
(a) Why can't you determine whether this equation is true of false?
i need help......................
Answer:
D. i think
Step-by-step explanation:
Hope this helps!
Answer:
D
Step-by-step explanation:
any help would be appreciated(brainly for best answer)
Answer:
(See below)
Step-by-step explanation:
m<1 = 180-130= 50 degrees
because <1 and the 130 degree angle are a linear pair so they are supplementary
m<2 = 50 degrees
because <1 and <2 are alternate interior angles so they are congruent
Help meeeeeeeeee rn pos
Answer:
y = x + 2.5 or y = x + 5/2
Step-by-step explanation:
Multiply both sides by 2 so that they are not fractions anymore.
[tex](2)\frac{2y}{2} = \frac{2x}{2} + \frac{5}{2} (2)\\[/tex] This gives you...
2y = 2x + 5 (divide both sides by 2 to get the y alone.)
y = x + 2.5
Hope this helps ya!!
Dee Anna has a roast that weighs 5.5 pounds. The recipe she is using calls for a roast that is 80 ounces. How many ounces does she need to cut off of the roast to make it the correct size?
Answer:
24
Step-by-step explanation:
well yea just trust me :)
Answer:
8 oz.
Step-by-step explanation:
there are 88 oz in 5.5 lbs.
the recipe calls for 80 oz.
subtract 88 from 80
answer - 8 ozs cut off.
Sarah would like to hire a clown for her daughter's birthday party. Clown A
is offering his services for an initial fee of $105 in addition to $9 per hour.
Clown B is offering her services for an initial $155 fee in addition to $6 per
hour. When will the two clowns charge the same amount of money? Use a
table to estimate the solution.
The two clowns charge the same amount of money at 16.66 hours.
What is Wages?Payment for work based on hours worked (or sometimes per day or per amount of work done).
Here, let the duration of birthday party be x hours.
For Clown A,
Initial fee = $ 105
Additional charge = $ 9 per hour
Total amount of clown A = $ (9x + 105) ...........(i)
For Clown B,
Initial fee = $ 155
Additional charge = $ 6 per hour
Total amount of clown B = $ (6x + 155) ...........(i)
Now, according to question
9x + 105 = 6x + 155
9x - 6x = 155 - 105
3x = 50
x = 50/3
x = 16.66 hours
Thus, the two clowns charge the same amount of money at 16.66 hours.
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please help, will give brainlist
(x-2)(x-1) use the distributive property
please explain as well!
Answer:
Step-by-step explanation:
(x-2)(x-1)
You need to take the first x and multiply by the other x. Then multiply the first x by the -1. Do this for the -2 also. -2 by the second x and -2 by the -1.
You get x^2-x-2x+2 then combine terms.
x^2-3x+2
Answer:
x² - 3x + 2
Step-by-step explanation:
(x-2)(x-1)
xx - x - 2x + 2
x² - 3x + 2
Find the greatest common factor of 14 and 55
Answer: The factors of 14 are 14, 7, 2, 1.
The factors of 55 are 55, 11, 5, 1.
The common factors of 14 and 55 are 1, intersecting the two sets above.
In the intersection factors of 14 factors of 55 the greatest element is 1.
Therefore, the greatest common factor of 14 and 55 is 1.
Step-by-step explanation:
The greatest common factor of 14 and 55 is 1.
To find the greatest common factor of 14 and 55.
First write the factor of 14.
14 × 1 = 14, 7 × 2 = 14, 2 × 7 = 14, 1 × 14 = 14.
Which are 14, 7, 2 and 1.
Now, write the factor of 55.
55 × 1 = 55, 11 × 5 = 55, 5 × 11 = 55, 1 × 55 = 55
Which are 55, 11, 5 and 1
Therefore, the common factor of 14 and 55 is 1.
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What percent is equivalent to 12/30?
0 12%
O 30%
0 40%
O 60%
Answer:
40 is the answer
Step-by-step explanation:
s +9=25
Help me please
Solve the inequality 2(x-4)<12
Answer:
x < 10
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesStep-by-step explanation:
Step 1: Define inequality
2(x - 4) < 12
Step 2: Solve for x
Distribute 2: 2x - 8 < 12Isolate x term: 2x < 20Isolate x: x < 10Here we see that any number x smaller than 10 would work as a solution of x.
Find the value of x
X/5 + 1 = 5 X= ?
Answer:
20
Step-by-step explanation:
5-1=4×5=20 that's why
Answer:
x = 20
Step-by-step explanation:
[tex]\frac{x}{5} + 1 = 5[/tex]
isolate the [tex]\frac{x}{5}[/tex] by subtracting 1 from both sides
[tex]\frac{x}{5} + 1 -1 = 5-1[/tex]
[tex]\frac{x}{5} = 4[/tex]
then isolate the x by multiplying both sides by 5
[tex]\frac{x}{5} * 5 = 4 * 5[/tex]
[tex]x = 4 *5 = 20[/tex]
so
[tex]x = 20[/tex]
hope this helps :))
write this number in scientific notation 2,000,000,000
Given: AE= 7 5/8cm, AB=BC, CD= 1/2cm, and DE is 3/8 more than AB. What is the length of DE?
Answer:
Length of DE = 2.90 (Approx)
Step-by-step explanation:
Given:
AE = 7[tex]\frac{5}{8}[/tex]cm = 61 / 8 cm = 7.625 cm
AB = BC
CD = 1/2 cm = 0.5 cm
DE is 3/8 more than AB
Find:
Length of DE
Computation:
Assume;
AB = BC = x
So,
DE = x + 3/8(x) = [11 / 8]x = [1.375]x cm
AE = AB + BC + CD + DE
7.625 = x + x + 0.5 + [1.375]x
7.125 = 3.375 x
x = 2.1111 (Approx)
Length of DE = [1.375][2.111]
Length of DE = 2.90 (Approx)
A helicopter is flying from Hong Kong to Jakarta. The latitude of Jakarta is -6.20°, and its longitude is 106.80°. The latitude of Hong Kong is 22.27°, and its longitude is 114.15°. What is the helicopter’s net change in latitude and longitude as it travels from Hong Kong to Jakarta?
A.
-28.47° latitude and 7.35° longitude
B.
-28.47° latitude and -7.35° longitude
C.
28.47° latitude and -7.35° longitude
D.
38.34° latitude and 220.95° longitude
E.
-38.34° latitude and 220.95° longitude
Answer:
The answer should be B
Step-by-step explanation:
to find the net change you need to do final minus initial. So the final would be Jakarta and the initial would be Hong Kong. so just subtract Jakarta's latitude from Hong Kong's and the same for longitude
Answer:
B also, I am this account. Im back guys. Gonna give away more points when I have enough points
Step-by-step explanation:
4. If the two angles and their non-included side of one triangle is congruent to the two
angles and their non-included side of another triangle, then the two triangles are
congruent by:
a. SAS postulate
b. AAS postulate
c. AAA postulate
d. ASA postulate
Round the following factors to estimate the products
597x52= ____ x____=_____
A reasonable estimate for 597 x 52
Step-by-step explanation:
597 rounding would be 600 while 52 would be 50.
So 600 x 50
= 30,000
Solve the compound equality, and show work!!
2(x-1) ≥ 10 or 3-4x > 15
Answer:
To solve a compound inequality, first separate it into two inequalities. Determine whether the answer should be a union of sets ("or") or an intersection of sets ("and"). Then, solve both inequalities and graph.
Step-by-step explanation:
Hope this helps!!!!!
:)
please help me, I have asked this question two timed already. Also please show your work
the choices are..
2 three course meals
20 three course meals
7 three course meals
5 three course meals
Answer:
7
Step-by-step explanation:
15x is money for the people who have 3 course meals
12(10-x) = 120-12x is money for the people who have 2 courses.
15x+120-12x = 141
3x+120 = 141
3x = 21
x = 7
7 three course meals
comment if you need further explanation. I am here to help.
A ufo has a speed of 3000 km/h the distance between a and b is 7500km. how long will it take for the Ufo to fly from A to B
Please show the formula
Answer:
..........................
Can someone please help?
I am stressing because I honestly do not understand this and the last person who answered this did not make it clear
Answer:
[tex]\frac{108}{125}[/tex]
Step-by-step explanation:
[tex]\frac{3}{5}[/tex]*[tex]\frac{25}{24}[/tex]= [tex]\frac{72}{125}[/tex]
[tex]\frac{72}{125}[/tex]÷[tex]\frac{2}{3}[/tex]=[tex]\frac{108}{125}[/tex]
Hope this helps you!
A family eats out at a restaurant and the total for their meals is $73.89. They also pay sales tax of 5.8% and leave a tip for their server. If the family leaves a total of $93, which of the following might be a description of the service they received? a. They left a 10% tip, so the service was probably below average. b. They left a 15% tip, so the service was probably average. c. They left a 20% tip, so the service was probably above average. d. They left a 25% tip, so the service was probably outstanding.
Answer:
C.
Step-by-step explanation:
The sales tax is ≈ 12.74
The total of $93 - (12.74 + 73.89) = 6.37
$6.37 is approximatley 20%
The description of the service they received is
They left a 20% tip, so the service was probably above average.
What is percentage?To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.
let the amount of tax be x.
So, 100% of x = 73.89 x 5.8%
x = 428.562/100
x= 4.285
Now, the tip amount would be
= 93 - 73.89 4.28
= $14.83
Now, the amount of tip in percent is
73.89 / 100 = 14.83 / x
x = 14.83 /0.7389
x= 20.07
x= 20%
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what is 2/3i-3 simplified?
PLEASE HELP URGENT!!!!!!!!!!!!
Thomas drew a line of best fit for the scatterplot shown. Write an equation for the line of best fit in slope intercept form. Show your work
Answer:
y=-2/3x+108
Step-by-step explanation:
If you look at the graph for "perfect points"(that's what I call them) you can get rise over run aka slope. In this case, it's -2/3. As for the y-intercept, following the graph's pattern, the y-intercept is 108. Just substitute the values into y=mx+b.
what is the missing segment in the image below
I need help with this pls!!
Mark bought groceries two days during the week.
.
Mark purchased $15.00 worth of groceries and paid $17.10 after taxes on Monday.
Mark paid $51.30 after taxes on a purchase of groceries that cost $ 45.00 on Friday
Which equation models the relationship between y, the cost of the groceries after taxes,
and x, the cost of the groceries before taxes?
A. y=0.15x
B. y=1.14x + 0.15
C. y=1.14x
D. y=.015x + 17.10
Answer:
Its either A or C
Step-by-step explanation: times the 45.00 x 0.15 and then try 45.00 x 1.14 it will give you the answer :D