Answer: \(124\frac{1}{4} (inches^{2} )\)
Step-by-step explanation:
\(2[(5\frac{1}{4} *3\frac{1}{2} )+(5\frac{1}{4} *5)+(3\frac{1}{2} *5)]\\\\= \frac{497}{4} \\\\= 124\frac{1}{4}\)
So the answer is \(124\frac{1}{4} (inches^{2} )\) --- the surface area of the box
Answer:
The answer is 124 and 1/4
Step-by-step explanation: I did it on FLVS and got it right
you want to install molding around the circular room. How much it would cost you to install the molding that you picked if it cost $4.22 per foot?
The cost of the molding is given as follows:
$119.30.
What is the measure of the circumference of a circle?The circumference of a circle of radius r is given by the equation presented as follows:
C = 2πr.
The parameters for this problem are given as follows:
d = 9 -> r = 4.5.
(as the radius is half the diameter)
Hence the circumference is given as follows:
C = 2 x π x 4.5
C = 28.27 ft.
The cost is of $4.22 per ft, hence the total cost is given as follows:
4.22 x 28.27 = $119.30.
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What Value of N makes the equation true?
I need help with this please
0.25 but half but 26:26 Its same but half of half ....
an art gallery is selling replicas of some famous art work. a copy of the art work is dilated by a scale factor of 1/3 to create a replica of the original piece. if the area of some original artwork was 12 square feet what will be the area of the replica?
Answer:
4/3 square feet.
Step-by-step explanation:
To find the area of the replica, you need to use a formula that relates the area of the original figure and the area of the dilated figure by the scale factor1. The formula is:
Area of dilated figure = Area of original figure x (Scale factor)^2
In this case, the area of the original artwork is 12 square feet and the scale factor is 1/3. So, we plug these values into the formula and get:
Area of replica = 12 x (1/3)^2
Area of replica = 12 x 1/9
Area of replica = 4/3
So, the area of the replica is 4/3 square feet.
Hope this helps :)
Find the measure of the third interior angle of a triangle, given the measure of two angles.
62 and 24 and ______
We know that the sum of the internal angles is equal to 180°, then we write and solve a linear equation to see that the missing angle is 94°.
How to find the measure of the third angle?Remember that for any triangle, we know that the sum of the interior angles is equal to 180°.
In this case we know that two of the angles have a measure of 62° and 24°, and if the third angle is x, then we can write the linear equation:
62° + 24° + x = 180°
To solve this we need to isolate x, we will get:
x = 180° - 24° - 62°
x = 94°
So the measure of the third interior angle is 94 degrees.
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If the function y=sin(x) is transformed to y = sin(2x), how does the graph change?
It is stretched vertically.
It is compressed vertically.
It is stretched horizontally.
It is compressed horizontally..
Step-by-step explanation:
The transformation y = sin(2x) affects the graph of y = sin(x) by compressing it horizontally.
The function y = sin(2x) has a coefficient of 2 in front of the x variable. This means that for every x value in the original function, the transformed function will have half the x value.
To see the effect of this transformation, let's compare the graphs of y = sin(x) and y = sin(2x) by plotting some points:
For y = sin(x):
x = 0, y = 0
x = π/2, y = 1
x = π, y = 0
x = 3π/2, y = -1
x = 2π, y = 0
For y = sin(2x):
x = 0, y = 0
x = π/2, y = 0
x = π, y = 0
x = 3π/2, y = 0
x = 2π, y = 0
As you can see, the y-values of the transformed function remain the same as the original function at every x-value, while the x-values of the transformed function are compressed by a factor of 2. This means that the graph of y = sin(2x) appears narrower or more "squeezed" horizontally compared to y = sin(x).
Therefore, the correct statement is: It is compressed horizontally.
In the context of this problem, which solutions to the polynomial equation can you eliminate because they do not make sense? x = –8 x = –4 x = 6
In the context of this problem all the solutions to the polynomial equation is correct because they all make sense.
What is the solution to the equation?The given polynomial equation can be expressed as ;
x³ + 6x² - 40x = 192 and the given solutions can be written as ; x = -8, x = -4, and x = 6
We can test if the solution is the best for the given euation because this will help us to know if these valueas are the solution for the equation
x = -8
[(-8)³ + 6(-8)² - 40(-8)]
= 192
[-512 + 384 + 320]
= 192
x = -4,
[(-4)³ + 6(-4)² - 40(-4)]
[-64 + 96 + 160 ]
= 192
x = 6
[(6)³ + 6(6)² - 40(6) ]
216 + 216 - 240
= 192
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Answer:
Step-by-step explanation:
A,B
x = –8
x = –4
How far does the tip of a minute hand on a clock travel in 15 minutes if the distance from the center to the tip is 8cm? Leave your answers in terms of pi or round your answer to the nearest tenth.
SHOW WORK
The tip of the minute hand on a clock travels a distance of 4π inches in 15 minutes.
How to find the distance of the tip minute handThe distance traveled by the tip of a minute hand on a clock can be calculated using the circumference formula.
The circumference of a circle is given by the formula:
C = 2πr C is the circumference, π is pi (approximately 3.14159) and r is the radius.
The distance from the center of the clock to the tip of the minute hand is the radius is 8 centimeters.
The circumference of the circle traced by the tip of the minute hand is:
\(\text{C} = 2\pi \text{r}\)
\(= 2\pi (8)\)
\(= 16\pi \ \text{centimeters}\)
Since the minute hand travels the full circumference of the circle in 60 minutes, in 15 minutes it will cover 15/60 = 1/4 of the circumference.
The distance traveled by the tip of the minute hand in 15 minutes is:
\(\text{Distance} = \huge \text(\dfrac{1}{4}\huge \text) \times C\)
\(= \huge \text(\dfrac{1}{4}\huge \text) \times (16\pi)\)
\(= 4\pi \ \text{centimeters}\)
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Answer:
4π cm ≈ 12.6 cm
Step-by-step explanation:
The clock can be modelled as a circle, where the radius (r) is equal to the length of the minute hand: r = 8 cm.
A clock face is divided into 12 equal sectors (numbered 1 to 12).
It takes 60 minutes for the minute hand to complete one revolution of the clock. Therefore, each sector represents the passing of 5 minutes.
This means that 15 minutes equals 3 sectors, which is a quarter of the circle.
To find the distance the tip of the minute hand travels in 15 minutes, we need to find a quarter of the circumference of a circle with radius 8 cm.
The formula for the circumference of the circle is C = 2πr, where r is the radius. Therefore, the equation to find the distance the tip of the minute hand travelled in 15 minutes is:
\(\sf Distance=\dfrac{2 \cdot \pi \cdot 8}{4}\)
Simplifying, we get:
\(\sf Distance=\dfrac{16 \cdot \pi}{4}\)
\(\sf Distance=4 \pi\)
Therefore, the minute hand will travel 4π cm or approximately 12.6 cm (to the nearest tenth) in 15 minutes.
if cosø = -5/13 and sin ø<0 what is tan ø
Answer:
12:5
Step-by-step explanation:
Question 2
The value of an investment doubled in 15 years. What was the annual rate of return?
Answer using the digits only. Round answer to the nearest tenth.
Question 3
The value of an investment grew from $800 to $1600 in 8 years. What was the annual rate of return?
Answer with the number only.
Question 4
The value of an investment grew from $100,000 to $200,000 in 20 years. What was the annual rate of return?
Answer with the number only.
Question 5
You invest $500,000 into a mutual fund that is expected to earn 6.95% per year. How long will it take the fund to be worth one million dollars?
Answer with the number of years only, round to the nearest whole number.
The formula that can be used to determine the annual rate of return is:
g = (Future value / present value)^(1 / number of years) - 1
2^(1/15) - 1 = 4.7%
(1600 / 800) ^(1/8) - 1 = 9%
(200,00 / 100,000)^(1/20) - 1 = 3.52%
Number of years = (In FV / PV) / r
Where:
FV = future valuePV = present valuer = interest rateIN2 / 0.0695 = 9.97 years
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how many solutions does −2x+2y=-18
Answer:
4.5 or 2×=-9
Step-by-step explanation:
I try my best
If a line l is perpendicular to a segment AB at point E and AE = EB how many points on line l are the same distance from point A as from point B
Answer:
101
Step-by-step explanation:
Given f(x)=x2-1/x+4 find f(-3)
27 Answer:
Given the simple interest formula, I = Prt, solve for t
28 Answer:
Rewrite the equation so that y is a function of x:
7x + y = 13
29 Answer:
Rewrite the equation so that y is a function of x:
3x + 5y = 15
30 Answer:
Use the result in question #28 to find y when x = -1.
31 Answer:
Use the result in question #29 to find y when x = -1.
32 Answer:
Find the unit rate: 3 tablespoons for 1.5 servings.
33 Answer:
Find the unit rate: $10.99 for 12 slices of pizza.
34 Answer:
Convert the measure. Round your answer to the nearest tenth.
15 teaspoons to tablespoons (1 tablespoon = 3 teaspoons).
35 Answer:
Find the percent. Round to the nearest whole percent.
159 people in favor out of 350 people surveyed.
28. t = I / (Pr)
29. y = -(3x / 5) + (15 / 5)
30. y = -3/5 x + 3
31. y = -3/5 * -1 + 3 = 3 + 3/5 = 3.6
32. 2 tablespoons per serving
33. $0.92 per slice
34. 5 tablespoons
35. 45% (159 / 350 = 0.45 and 0.45 * 100 = 45)
What is a simple interest?Simple interest is a method of calculating the interest charge on a loan or deposit based on a constant interest rate and the original principal amount. The formula for simple interest is I = Prt, where P is the principal amount, r is the interest rate as a decimal, t is the time period in years, and I is the interest amount. In simple interest, the interest amount is calculated only on the original principal, not on any accumulated interest from prior periods.
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3 6 9 12 15 18 21 24 27 30 is odd or even numbers?
Answer: Half of them are even and half of them are odd.
Step-by-step explanation:
The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.
The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.
Therefore, out of the given numbers, half of them are even and half of them are odd.
________________________________________________________
UNIT TEST:
Basic Tools and Transformations - Part 1
For given polygon, the value of x is 61°
In this question we have been given a polygon with five sides.
We have been given the five interior angles of the polygon.
We need to find the value of x.
From given figure, we can observe that the given polygon is nothing but a pentagon.
We know that the sum of all interior angles of the pentagon is 540°
⇒ 107° + 144° + 138° + x° + 90° = 540°
⇒ 479° + x° = 540°
⇒ 479° + x° - 479° = 540° - 479°
⇒ x = 61°
Therefore, for given polygon, the value of x is 61°
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caculate the following multiplication
\(67 \times 12\)
Answer:
804
Step-by-step explanation:
Just use a calculator.
Evaluate the expression.
64.3 – 3 x 23 ÷ 2
Answer:
29.8
Step-by-step explanation:
\(64.3 - 3 \times 23 \div 2 \\ \\ = 64.3 - 3 \times 11.5 \\ \\ = 64.3 - 34.5 \\ \\ = 29.8\)
Hey there!
64.3 - 3 * 23 ÷ 2
[3 * 23 = 69]
= 64.3 - 69/2
= 64.3 - 34.5
= 29.8
Therefore, your answer is: 29.8
Good luck on your assignment & enjoy day!
~Amphitrite1040:)
Dariya and 4 friends were each able to balance one foot for 5/7 minute. How long did they stand on one foot altogether?
how do you pay taxes loll
Step-by-step explanation:
Unless Loll has agreed to credit terms in writing, payment shall be made in advance and by cash, cashier's check, credit card, wire transfer or irrevocable letter of credit in a form acceptable to Loll. All payments due from Buyer shall be made without any set-off or deductions for any reason whatsoever.
Mark me brainliest
Choose the table that represents g(x) = 3⋅f(x) when f(x) = x − 1
Does anyone know how to solve this?
Suppose that a study of elementary school students reports that the mean age at which children begin reading is 5.4 years with a standard deviation of 0.8 years.
Step 2 of 2: If a sampling distribution is created using samples of the ages at which 38 children begin reading, what would be the standard deviation of the sampling distribution of sample means? Round to two decimal places, if necessary.
Answer:
Step-by-step explanation:
The standard deviation of the sampling distribution of sample means is given by the formula:
standard deviation = population standard deviation / sqrt(sample size)
Here, the population standard deviation is 0.8 years, and the sample size is 38. Substituting these values into the formula, we get:
standard deviation = 0.8 / sqrt(38)
standard deviation ≈ 0.13
Rounding to two decimal places, the standard deviation of the sampling distribution of sample means is approximately 0.13 years.
A cylinder and its dimensions are shown in the diagram. Which equation can be used to find V, the volume of the cylinder in cubic centimeter? I think A. is the answer :)
Answer: it’s simply a
Step-by-step explanation: X =bsquare
how do you specify the sets by description method a) Mt. Manaslu b)Algebra c) Sagarmatha
B - Algebra
To be honest, this is a weird question
Describe the slope of the line
Find the slope
m=??
Answer: 2.333333...
Step-by-step explanation:
If we apply rise over run, we see that it rises 3.5 spaces, and runs 1.5, which means that \(m = \frac{rise}{run} = \frac{3.5}{1.5} = 2.33333...\)
-5 1/4 -(-7 1/2) simplify
really fast pleas
What arithmetic operations dose the the expression 12+8t
Answer:
- addition
- division
- multiplication
Answer:
addition 12+8t
multiplication 8*t
division 12+8t/25
Step-by-step explanation:
And the variable is t
3. Which sentence is written active voice-not passive voice?
The cheeseburgers were purchased by Micky.
Pizza was suggested instead of cheeseburgers.
O Mickey ate a cheeseburger at lunch instead of pizza.
At lunch, the cheeseburger was eaten by Micky.
Answer:
the cheeseburgers were purchased by micky
Which inequality has the solution shown in the graph?
a – 3 ≤ –5
a – 3 –2
Answer:
-2
Step-by-step explanation:
Trust me