A rectangular piece of cardboard measures 18 cm by 9 cm. What is the perimeter of the piece of cardboard?
Answers
Given:
Length, L = 18 cm
Width, W = 9 cm
Asked: What is the perimeter of the piece of cardboard?
Solution:
\(\text{Perimeter of a rectangle = 2L + 2W}\)\(\begin{gathered} \text{Perimeter of a rectangle = 2(18) + 2}(9) \\ \text{Perimeter of a rectangle = 36 + }18 \\ \text{Perimeter of a rectangle = }54\text{ cm} \end{gathered}\)ANSWER: 54 cm
Related Questions
Question 1
The total length of a hiking trail in the mountains is 8 miles. If Dale and his son completed 4/5 of the trail yesterday, how many feet did they hike?
42,240 feet
22,528 feet
11,264 feet
33,792 feet
Answers
Answer:
33, 792
Step-by-step explanation:
first convert the 8 miles to feet because our answers are in feet.
1 mile= 5280 feet
therefore 8 miles= 5280×8
= 42240
Dale and son covered 4/5 of the 42240 feet
= 4/5×42240
= 33,782 feet
Factor the expression.
g²r +
9²₂² - 6g²rs²t+
DONE
__jp²t)(
5422)
Answers
To factor the expression, we need to identify any common factors that can be pulled out of the terms.
The terms g²r and 9²₂² have a common factor of g². The terms 6g²rs²t and -6g²rs²t have a common factor of -6g²rs²t. The term 5422 does not have any factors in common with the other terms.
Therefore, the expression can be factored as:
(-6g²rs²t)(g²r + 9²₂²) + 5422
This is the fully factored form of the expression.
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Question 3 (1 point)
Karl wants to find the width RQ of a river. He starts at point R, and walks
perpendicular along the edge of the river 42 ft and marks point S. He then walks 28
ft further and marks point T. He turns 90° and walks until his location (point U), point
S, and point Q are collinear. Suppose TU= 68 ft. What is the width of the river in
feet?
Answers
The width RQ of the river is approximately 61.98 ft.
To find the width RQ of the river, we can use the properties of perpendicular lines and collinearity.
Given that Karl starts at point R and walks perpendicular along the edge of the river 42 ft to point S, we can draw a line segment RS of length 42 ft.
From point S, Karl walks 28 ft further to point T. We can draw another line segment ST of length 28 ft.
Now, Karl turns 90° from point T and walks until his location (point U), point S, and point Q are collinear. Let's denote the length of this line segment as UQ.
From the given information, we know that TU = 68 ft.
Since U, S, and Q are collinear, we can form a right triangle by connecting UQ and US.
The length of UQ can be found using the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
In this case, we have:
UQ² = TU² - US²
UQ² = 68² - 28²
UQ² = 4624 - 784
UQ² = 3840
Taking the square root of both sides, we have:
UQ = √3840
UQ ≈ 61.98 ft
Therefore, the width RQ of the river is approximately 61.98 ft.
Note: It's important to keep in mind that this solution assumes the river is a straight line and that Karl's path is perpendicular to the river's edge. In reality, the river's edge may not be perfectly straight, and the path Karl walks may not be exactly perpendicular.
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95% of what number is 114?
Answers
114 is 95% of 120
100% of 120 is 120, therefore 95 percent of 120 equals 114. To learn how to solve 114 is 95 percent of what number, see the step-by-step instructions below.
114 is 95 Percent of What Number?
Formula = Number x 100
Percent = 114 x 100
95 = 120
The following shows the steps to derive this formula and find out 95% of the number is 114.
Step 1: If 95% of a number is 114, then what is 100% of that number? Set up the equation.
114
95% = Y
100%
Step 2: Solve for Y
Using cross multiplication of two fractions, we get
95Y = 114 x 100
95Y = 11400
Y = 11400
100 = 120
What is the missing side?
Answers
Answer:
x=5
Step-by-step explanation:
Area of triangle=1/2 * b * h
In this case b=10, h=x, and A=25
By substituting values in we can say:
\(A=\frac{1}{2} * b *h\\25=\frac{1}{2} * 10 * x\\25=5x\\x=5\)
Two lines intersect and create four angles one angle is 70 degrees the angle x and y are both linear angle pairs with 70 degrees the angles x is a vertical angle to 70 degrees find the degrees of the angles x and y and z.
Answers
Answer:
The angles x, y, and z are 70 degrees, 110 degrees, and 110 degrees, respectively.
Step-by-step explanation:
If one angle is 70 degrees, then its corresponding angle will also be 70 degrees. Therefore, the two linear angle pairs with 70 degrees are:
70 degrees and its corresponding angle (also 70 degrees)
x degrees and y degrees, where x and y add up to 180 degrees (because they are linear angle pairs)
Since x is a vertical angle to 70 degrees, it is also equal to 70 degrees. Therefore:
x = 70 degrees
y = 180 - x = 180 - 70 = 110 degrees
To find the angle z, we can use the fact that the sum of the angles around a point is 360 degrees. Since the two lines intersect and create four angles, the angles around the point where they intersect must add up to 360 degrees. Therefore:
z + 70 + 70 + 110 = 360
z + 250 = 360
z = 110 degrees
Therefore, the angles x, y, and z are 70 degrees, 110 degrees, and 110 degrees, respectively.
write as a product: b^2*c^2-4bc-b^2-c^2+1
Answers
Answer:
(b*c+c-1+b)*(-c+b*c-b-1)
or
(b*c + c - 1 + b)*(-c + b*c - b -1)
put both in the same order:
(bc + b + c - 1)( bc - b - c - 1)
Turn the crank:
(bc)2 + b2c + bc2 - bc -b2c -b2 - bc + b -bc2 - bc - c2 + c -bc - b - c + 1
Cancel things....
(bc)2 - bc -b2 - bc - bc - c2 -bc + 1
(bc)2 - 4bc - b2 - c2 + 1
Jayden has 3/4 of a bag of dog food. his dog eats 1/10 of a bag per week. how many weeks will the dog food last. plzzzz send help I'm already failing
Answers
Explanation:
Brainliest please
Sketch the graphic y=|x+1|
Answers
Answer:
Consider the table for y= |x+1| :
x | y
---------
0 1
1 2
2 3
-1 2
-2 3
This would give us the parent function of y=|x| but translated up one unit. It should look like a v starting at (0, 1)
The average rate of change of g(x) between x = 4 and x = 7 is Five-sixths. Which statement must be true?
Answers
- g(7) - g(4) = 5/6
- g(x) is a linear function
- The slope of the tangent line to g(x) at x = 5.5 is 5/6
- The derivative of g(x) at x = 5.5 is 5/6
- The graph of g(x) is concave up on the interval [4, 7]
- The graph of g(x) has a local maximum at x = 5.5 and a local minimum at x = 6.5.
For the following vectors, (a) find the dot product v•w ; (b) find the angle between v and w , (c) state whether the vectors are parallel, octagonal, or neither. V=-3i-4j, w=6i+8j
A- v•w
B-the angle between v and w is theta ^•?
C- the vectors v and w are?
Answers
B) The angle between vectors v and w can be found using the formula: cos(theta) = (v • w) / (||v|| ||w||), where ||v|| and ||w|| are the magnitudes of vectors v and w respectively.
First, we need to find ||v|| and ||w||:
||v|| = sqrt((-3)^2 + (-4)^2) = 5
||w|| = sqrt((6)^2 + (8)^2) = 10
Now, we can substitute in the values to get:
cos(theta) = (-50) / (5 * 10) = -1
theta = arccos(-1) = pi radians or 180 degrees.
Therefore, the angle between vectors v and w is 180 degrees.
C) Two vectors are parallel if their directions are the same, which can be determined by comparing their unit vectors.
The unit vector of v is:
v_hat = v / ||v|| = (-3/5)i + (-4/5)j
The unit vector of w is:
w_hat = w / ||w|| = (6/10)i + (8/10)j = (3/5)i + (4/5)j
We can see that the unit vectors are in opposite directions, which means that the vectors are anti-parallel or opposite. Therefore, the vectors v and w are neither parallel nor orthogonal.
Solve for x round to the nearest tenth of a degree if necessary. HURRYYYY TY
Answers
The value of x is 58.51 degree.
We have,
Perpendicular= 8
Base = 4.9
Using trigonometry
tan x = Perpendicular/ Base
tan x = 8/4.9
tan x= 1.63265306122449
x = 58.51253064
Thus, the value of x is 58.51 degree.
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Which ordered pair is on the x axis?
Answers
Answer:
0,0
Step-by-step explanation:
You are finding a measure of center in the data sets below using either the mean or the median. In which of the data sets should you find the mean? Select all that apply.
A) 18, 56, 58, 61, 52
B) 25, 27, 31, 33, 95
C) 38, 37, 33, 41, 36
D) 65, 68, 71, 73, 12
E) 49, 44, 42, 48, 50
Answers
The mean should be calculated for data sets A, B, C, and D.
What is the mean?It is useful to take into account the nature of the data and any potential outliers when deciding whether to choose the mean or the median as the measure of center in a data set.
When the data is symmetrically distributed with no major outliers, the mean is usually a better choice. It affects extreme values and gives an indication of the average value.
The median, on the other hand, is often preferred when the data is skewed or contains outliers. It represents the middle value when the data is ordered, and it is less affected by extreme values.
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Please help need help
Answers
Answer:
because the price of 2 adult tickets and 4 child tickets is $48
=> 2x + 4y = 48 (*)
the price of 5 adult tickets and 2 child tickets is $64
=> 5x + 2y = 64 (**)
from (*) to (**), we have:
\(\left \{ {{2x+4y=48} \atop {5x+2y=64}} \right.\\\\<=>\left \{ {{10x+20y=240} \atop {10x+4y=128}} \right.\\\\=>\left \{ {{20y-4y=240-128} \atop {2x+4y=48}} \right.\\\\<=>\left \{ {16y=112} \atop {2x+4y=48}} \right.\\\\<=>\left \{ {{y=7} \atop {x=10}} \right.\)
so the ticket price for one adult is $10
the tickey price for one child is $7
+) a family that consists of 2 adults and 3 childs so they need have:
2.10 + 3.7 = 41 ($)
=> their budget isnt high enough
Step-by-step explanation:
Pls helpppppppppppppppp
Answers
Answer:
Rotation 90 degrees clockwise
Step-by-step explanation:
Since if you look at it, you can see that the Q at the bottom left, became at the top left, and the N at the top left became at the top right.
Answer:
Rotation 90 degrees clockwise
Step-by-step explanation:
In case you can't figure it out, try eliminating.
It's clearly not a translation because it would look the same just in a different place.
It isn't a reflection because it isn't flipped.
Now it's either a rotation of 90 or 180 degrees.
It's not 180 because it would be in a bottom quadrant.
So it would be a rotation of 90 degrees clockwise.
:D
3 1/3 divided by 1 1/5
Answers
Answer:
25/9
Step-by-step explanation:
3 1/3 ÷ 1 1/5
3 1/3 = 10/3
1 1/5 = 6/5
10/3 ÷ 6/5 = 10/3 x 5/6 = 50/18 = 25/9
So, the answer is 25/9
Please can I get help with this question?
Answers
Answer:
x = 18
Step-by-step explanation:
When two parallel lines are intersected by a transversal, then same-side exterior angles are supplementary, meaning their angle measures add up 180 degrees. Applying this knowledge here, one can state that;
( 6x - 3 ) + 75 = 180
Simplify,
6x - 3 + 75 = 180
6x + 72 = 180
Inverse operations,
6x + 72 = 180
-72 -72
6x = 108
/6 /6
x = 18
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Figure 1 ;4 squares
Figure 2; 8
Figure 3; 16
Figure 4; 32
How many squares will be in Figure 100?
A 2^100
B. 4^100
c. 2x4^99
D4x2^99
Answers
Answer:
D. 4x2^99
Step-by-step explanation:
This question is a geometric progression question.
please help and answer ASAP please will mark Brainlest
What is the value of x?
Enter your answer in the box.
x =
°
Answers
Answer:
80 degrees
Step-by-step explanation:
The sum of the angles in a triangle is 180 degrees so we can create the equation 70+30+x=180. This solves out to 80 so x=80 degrees.
Raymond has a credit card with a 21.99% Apr. His balance this month is 3,000. Calculate how much interest he will pay this month. Round to the nearest cent.
Answers
The interest Raymond will pay this month is $54.98
What does APR mean?
APR means annual percentage rate, which means that since we are computing monthly interest, the annual rate which is the whole 12 months needs to be divided by 12 to ascertain the equivalent monthly interest rate
monthly interest=21.99%/12
What is the monthly interest amount in dollars?
The monthly interest amount in dollars is determined as the monthly interest rate multiplied by the credit card balance at the end of the month
monthly interest=$3,000*21.99%/12
monthly interest=$54.98
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Solve this question very please
Answers
Answer:
45-495-3554
Step-by-step explanation:
3
55
64
Answer choices are:
A. BC congruent to EF
B. AC congruent to DF
C. AB congruent to DE
Answers
A shipping container holds 20 soft drink boxes. The dimensions of a single soft drink box are 15 inches by 4 inches by 5 inches. If the container needs to hold all 20 drink boxes, what is the minimum size the shipping container could be to hold the volume of all 20 drink boxes?
Answers
One soft drink box has a volume of 300 inches.
300 x 20 = 6,000
The volume of the shipping container has to be at least 6,000 inches to hold the volume of all 20 soft drink boxes.
If AABC= AMNO, then what corresponding angle is congruent to angle N?
Answers
Answer:
.aabc=amn0#1211
Step-by-step explanation:
nosascoOsasco n=12.8
Using the information below, answer the next 3 questions: The percent of fat calories that a person in America consumes each day is normally distributed with a mean of about 36 and a standard deviation of about 10. Suppose that 16 individuals are randomly chosen. For the group of 16, find the probability that the average percent of fat calories consumed is more than thirty-five (Round to 3 decimal places)
Answers
Answer: 0.655
Step-by-step explanation:
Let X be a random variable that represents percent of fat calories that a person in America consumes each day.
As per given , X is normally distributed with a mean \(\mu=36\) and a standard deviation \(\sigma=10\).
Sample size : n= 16
The probability that the average percent of fat calories consumed is more than 35:
\(P(\overline{X}>35)=P(\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}>\dfrac{35-36}{\dfrac{10}{\sqrt{16}}})\\\\=P(Z>\dfrac{-1}{\dfrac{10}{4}})\ \ \ [Z=\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}]\\\\=P(Z>\dfrac{-4}{10})\\\\=P(Z>-0.4)\\\\=P(Z<0.4)\ \ \ [P(Z>-z)=P(Z<z)]\\\\=0.655\ \ \ [\text{By p-value table}]\)
Hence, Required probability =0.655
Recall that with base-ten blocks: 1 long 10 units, 1 flat 10 longs, and 1 block 10 flats. What is the fewest number of multibase blocks that can be used to represent the corresponding numeral in the given base?
a. 20 longs in base seven
b. 10 longs in base three
Answers
a. The answer is: The fewest number of multibase blocks required to represent 20 longs in base seven is 2 flats.
b. The answer is: The fewest number of multibase blocks required to represent 10 longs in base three is 3 flats and 1 unit.
a. To represent 20 longs in base seven, we need to find the fewest number of multibase blocks required.
In base seven, we have the following conversions:
1 long = 1 unit
1 flat = 10 units
1 block = 10 flats
To represent 20 longs, we can use 2 flats (each flat representing 10 units) and 0 units since there are no remaining units.
So, the fewest number of multibase blocks required would be 2 flats.
Therefore, the answer is: The fewest number of multibase blocks required to represent 20 longs in base seven is 2 flats.
b. To represent 10 longs in base three, we need to find the fewest number of multibase blocks required.
In base three, we have the following conversions:
1 long = 1 unit
1 flat = 3 units
1 block = 3 flats
To represent 10 longs, we can use 3 flats (each flat representing 3 units) and 1 unit since there is one remaining unit.
So, the fewest number of multibase blocks required would be 3 flats and 1 unit.
Therefore, the answer is: The fewest number of multibase blocks required to represent 10 longs in base three is 3 flats and 1 unit.
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What is the least common denominator of 1/2 and 9/10
Answers
Answer:the least common denominator is 10 because 5x2 is 10 and then 10x1 is 10 its the least for both of them
Step-by-step explanation:
A technician ran several blood tests this morning. She completed 13 tests during the first
hour, 19 tests during the second hour, 14 tests during the third hour, and 16 tests during
the fourth hour.
a. What is the average number of tests the technician completed in 1 hour? Round to
the nearest whole number.
b. If the technician works three hours this afternoon, about how many tests will she complete?
Answers
Answer:
a. about 16 tests b. about 48 tests
Step-by-step explanation:
To find the average, add the numbers and then divide the sum by the number of terms: 13+19+14+16=62, and there are 4 addends, so 62/4, which is 15.5. 15.5 to the nearest whole number is 16.
16 per hour, and she works 3 hours, so 3x16, which is 48.
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