Answers
so the rectangular prism, or that box, is really just 6 rectangles stacked up to each other at the edges, notice
front and back are just two 9x5 rectangles
left and right are just two 5x4 rectangles
top and bottom are just two 9x4 rectangles
get the area of all 6, sum them up, and that's the area of the box.
Related Questions
3. Jocelyn needs to study two stars for her astronomy research. She has narrowed her choices down to four stars that are located on a straight line from earth. Star Distance from earth Star A 0.176 times 10 to the power of 18 km Star B 22.13 times 10 to the power of 16 km Star C 31.42 times 10 to the power of 14 km Star D 125.5 times 10 to the power of 15 km Jocelyn wants to study the two stars that are closest to each other. (a) Which two stars should she study? (b) What is the distance between the two stars? Show or explain your work.
Answers
A 176.0 times 10^15 km
B 22.13 times 10 to the power of 16 km =
2.213 x 10^15 km
C 31.42 times 10 to the power of 14 km =
3.142 x 10^15 km
D 125.5 times 10 to the power of 15 km
The recalculated list is now:
A 176.0 times 10^15 km
B 2.213 x 10^15 km
C 3.142 x 10^15 km
D 125.5 x 10^15 km
Just by looking, we can see the 2 stars closest to each other are
C 3.142 x 10^15 km and
B 2.213 x 10^15 km
The distance between them = 3.142 x 10^15 km -2.213 x 10^15 km
.929 x 10^15 km =
9.29 x 10^14 km
Which variable is most important to the following problem? At 9:00 a.m., a wind speed of 20 miles per hour was recorded. After that, the wind speed was recorded every hour. Each measurement showed an increase in wind speed of 3 miles per hour. The strongest wind was recorded at 4:00 p.m. After that, the wind speeds started to decrease. What was the top wind speed? A. the time of day the first measurement was made B. the miles-per-hour speed of the wind at its maximum point C. the number of hours it took for the wind speed to reach its minimum for the day
Answers
Final answer:
The most important variable to determine the top wind speed at 4:00 p.m. is B. the miles-per-hour speed of the wind at its maximum point. The calculation shows an initial speed of 20 mph at 9:00 a.m., with an increase of 3 mph each hour leading to a top speed of 41 mph at 4:00 p.m.
Explanation:
The variable most important to the problem of determining the top wind speed recorded is B. the miles-per-hour speed of the wind at its maximum point. To find the top speed, you can calculate the increase in wind speed from the initial measurement at 9:00 a.m. The wind was increasing by 3 miles per hour each hour until it reached its peak at 4:00 p.m.
Here is the calculation:
Top wind speed = Initial speed + (Increase per hour × Number of hours)
Top wind speed = 20 mph + (3 mph/hour × 7 hours)
Top wind speed = 20 mph + 21 mph
Top wind speed = 41 mph
Which figures are congruent? Will Give Brainliest Answer
A. B ≅D and A ≅C
B. B ≅D
C. B ≅D and E ≅F
D. B ≅D and E ≅F and A ≅C
Answers
Is 0.245245245... a rational or irrational number?
Answers
1/2(2d+6)=p solve for d
Answers
2d = 2p - 6
d = (2p - 6)/2
d = p - 3
Hope this helps!
12 cot2(x) = 4 find all values of x in the interval [0, 2π] that satisfy the equation
Answers
so, [tex]x= \pi/3 \\ x = \pi - \pi/3 = 2\pi/3 \\ x = \pi + \pi/3 = 4\pi/3 \\ x = 2\pi - \pi/3 = 5\pi/3 [/tex]
Final answer:
To solve 12 cot2(x) = 4, we simplify and use properties of the tangent function. The solution is x = π/3, 2π/3, 4π/3, and 5π/3 within the interval [0, 2π].
Explanation:
To solve the trigonometric equation 12 cot2(x) = 4, we first simplify it to find cot2(x) = 1/3 by dividing both sides by 12. To find cot(x), we take the square root of both sides, giving us cot(x) = ±1/√3. Remember that cot(x) is the reciprocal of tan(x), so we now have tan(x) = ±√3.
To find the values of x that satisfy this equation within the interval [0, 2π], we look at the unit circle. The tangent function is positive in the first and third quadrants and negative in the second and fourth quadrants. Therefore, for tan(x) = √3, x = π/3, 4π/3, and for tan(x) = -√3, x = 2π/3, 5π/3. These are the values of x in the given interval that satisfy the equation.
Choose the true statement.
-8 < 8
-8 > 8
-8 = 8
Answers
-8 < 8
since a negative number is below 0 and a positive number is above 0 the first statement is true
(12, 10) , (-2, r) , m= -4
Answers
m= (y1-y2)/(x1-x2)
10-r/12+2 = -4
10-r =-4(12+2)
10-r = -48-8
10+56 = r
66 = r
Hope I helped :)
The value of r such that the slope associated with two points (12, 10), (-2, r) is -4 is 66.
What is the slope?A slope is a tangent or angle at a point and a slope is the intensity of inclination of any geometrical lines.
Slope = Tanx where x will be the angle from the positive x-axis at that point.
Given two points,
(12, 10) , (-2, r)
The slope associated with (x₁, y₁) and (x₂, y₂) →
Slope(m) = (y₂ - y₁)/(x₂ - x₁)
So,
m = (r - 10)/(-2-12)
(r - 10)/(-14) = -4
r - 10 = 56
r = 66
Hence "The value of r such that the slope associated with two points (12, 10), (-2, r) is -4 is 66".
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There are 12 signs of the zodiac. how many people must be in a group before you are guaranteed that at least 6 of them have the same sign
Answers
In the cafeteria 100 milk cartons were put out for breakfast. at the end of breakfast 27 remained what is the number of milk cartons taken to the total number of mil cartons
Answers
total number of milk cartons : 100
ur answer is 73/100 or 73:100 or 73 to 100
Solve m-3/7 = -5 show your work please :)
Answers
m=-5+3/7
m=-35/7+3/7
m=-32/7
Multiply.
(21)⋅(−7)
−147
−14
14
147
Answers
Answer:
-147
Step-by-step explanation:
John made of a pound of fudge and Mary made of a pound of fudge. Ricky takes the sum of the two amounts of fudge and divides it into three equal portions, planning to keep one portion for himself. How much fudge does Ricky keep?
Answers
Answer:
Rickey keep 2/3 or 0.7 fudge.
Step-by-step explanation:
Consider the provided information.
John made of a pound of fudge and Mary made of a pound of fudge.
Ricky takes the sum of the two amounts of fudge
The sum of the two amounts of fudge is 2 pound.
He divides it into three equal portions.
[tex]\frac{2}{3}=0.\overline6\approx0.7[/tex]
Hence Rickey keep 2/3 or 0.7 fudge.
Convert the following: 22km = ________m A. 0.022 B. 2.2 C. 22 D. 22,000
Answers
1km = 1000 m
22*1000 = 22,000
Answer is D. 22,000
Which statement could be proved false using a counterexample?
An acute angle is 89 degrees.
Some acute angles are more than 90 degrees.
All acute angles are 30 degrees.
All acute angles are less than 90 degrees.
Answers
The statement 'Some acute angles are more than 90 degrees' can be proven false using a counterexample because by definition, an acute angle cannot be more than 90 degrees. For a statement to be considered true in mathematics, it must cover all possible cases. If a single exception can be found, we can consider the statement false.
Explanation:The statement that could be proved false using a counterexample among the choices would be 'Some acute angles are more than 90 degrees'. In Mathematics, an acute angle is defined as any angle that measures more than 0 degrees but less than 90 degrees. Hence, the idea of acute angles being more than 90 degrees is definitely incorrect.
Let's examine each statement:
An acute angle is 89 degrees. This is true, because 89 degrees is less than 90 degrees, and therefore, it fits the definition of being an acute angle.Some acute angles are more than 90 degrees. This is not true, and also our answer. No acute angled can be more than 90 degrees, because then it would not be an acute angle anymore, it would be termed as an obtuse angle.All acute angles are 30 degrees. This is false, but it is not provided as a choice to select as per the question asked.All acute angles are less than 90 degrees. This is true, as it's the very definition of acute angle, it's always less than 90 degrees.In conclusion, always remember that for a statement to be true in mathematics, it must cover all possible cases. When a single exception can be found, the statement can be considered false.
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If Juan drives 50 mph for 1.5 hours and then 70 mph for 0.5 hours, then how far did he drive?
Answers
50 miles = 1 hr
25 miles = .5 hr
so that makes 75 miles so far
70/2 = 35 = .5 hr
75+35
110 miles
Juan drove 110 miles for a total of two hours
The total distance that he drive is:
110 miles.
Step-by-step explanation:We know that the distance is defined as the product of speed and time.
i.e.
[tex]Distance=Speed\times Time[/tex]
It is given that:
Juan drives 50 mph for 1.5 hours.
This means that at this rate the distance traveled by him is:
[tex]Distance_1=50\times 1.5\\\\i.e.\\\\Distance_1=75\ miles[/tex]
and he travels at the rate of 70 mph for 0.5 hours.
This means that the distance traveled by him at this rate is:
[tex]Distance_1=70\times 0.5\\\\i.e.\\\\Distance_1=35\ miles[/tex]
Hence, the total distance that he drive is:
[tex]Total\ distance=Distance_1+Distance_2\\\\Total\ distance=75+35\\\\i.e.\\\\Total\ distance=110\ miles[/tex]
Need help figuring out the equation for the linear line on the graph. Rise over run?
Answers
y-intercept is 1
slope is -2/3
The perimeter of a rectangle is 50 centimeters. the length of the rectangle is one more than 3 times the width of the rectangle. what are the dimensions of the rectangle
Answers
Length = 3w+1
The perimeter of the rectangle is 2l+2w=P
2(3w+1) + 2(w) = 50 [base equation]
6w+2+2w=50 [distribute the 2]
8w+2=50 [combine like terms]
8w=48 [subtract 2 from both sides]
w=6 [divide 8 from both sides]
Therefore, the width is 6 cm.
3(6)+1 is the length = 19 cm
The width of the rectangle is 6 centimeters and the length is 19 centimeters.
Explanation:To find the dimensions of the rectangle, we can assign variables to the length and width of the rectangle. Let's say the width is 'w' centimeters.
According to the information given, the length is '1 + 3w' centimeters. The perimeter of a rectangle is the sum of all its sides, so we can set up the equation: 2(length + width) = 50. Substituting the given expressions for length and width, we have: 2((1 + 3w) + w) = 50. Simplifying this equation, we get: 8w + 2 = 50. Solving for 'w', we find that the width of the rectangle is 6 centimeters. Substituting this value back into the expression for the length, we get: length = 1 + 3(6) = 19 centimeters.Therefore, the dimensions of the rectangle are width = 6 centimeters and length = 19 centimeters.
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Find the equation of the hyperbola centered at the origin that has a vertex at (5, 0) and a focus at (9, 0).
Answers
The vertex is at (a,0), with a = 5.
The focus is at (c,0), with c = 9.
Therefore
b² = c² - a² = 81 - 25 = 56
The equation of the hyperbola is
[tex] \frac{x^{2}}{a^{2}} - \frac{y^{2}}{b^{2}} =1, \\ or \\ \frac{x^{2}}{25} - \frac{y^{2}}{56}=1 [/tex]
Answer:
[tex] \frac{x^{2}}{25} - \frac{y^{2}}{56} =1[/tex]
One of the factors of p^5 - 144p^3 is
A. P^3
B. P + 12
C. P - 12
D. All of the above
Answers
= p^3(p^2 - 144)
= p^3(p + 12)(p - 12)
answer
D. All of the above
The factors are below
p^3(p^2-144)
p^3(p-12)(p+12)
How many seconds are in 9 hours
Answers
9 h = 3600 × 9 sec
9 h = 32400 sec
Which answer gives the number and type of solutions to the equation x2+14x+49=0 ?
Answers
(x + 7) (x + 7) = 0
x = -7
The quadratic equation[tex]x^2 + 14x + 49 = 0[/tex]factors into [tex](x + 7)^2 = 0[/tex], yielding one real repeated solution, x = -7. This means the graph of the quadratic function touches the x-axis at precisely one point.
The given equation [tex]x^2 + 14x + 49 = 0[/tex] is a quadratic equation and can be factored or solved using the quadratic formula.
However, this particular equation is a perfect square trinomial because the constant term 49 is the square of 7 and twice the product of 7 and the linear coefficient 14 is equal to the middle term 14x.
[tex]x^2+2*7*x+7^2=0[/tex]
Therefore, the equation can be factored as
(x + 7)^2 = 0.
To find the solution, we set the factor equal to zero:
(x + 7) = 0
(x + 7) = 0
This equation has one unique solution, x = -7, which means the quadratic equation has one real repeated solution.
In the context of the number and type of solutions, it means the graph of the quadratic function touches the x-axis at one point (x = -7) and does not cross it.
Real world equation that can be modeled by the equation y=1/20x
Answers
The equation of a circle is x^2 + y^2 + Cx + Dy + E = 0. If the radius of the circle is decreased without changing the coordinates of the center point, how are coefficients C, D, and E affected?
A) C, D, and E are unchanged.
B) C increases, but D and E are unchanged.
C) C and D decrease, but E is unchanged.
D) C, D, and E increase.
E) C and D are unchanged, but E decreases.
Answers
x and y are the center point so since C and D are multiplied by x an y they would remain the same
E = the center points squared plus the radius squared.
Since the radius is getting smaller E would also decrease
Answer is E
Answer D:
The circle having (a,b) as center and R as radius has for equation:
(x-a)²+(y-b)²=R²
==>x²+y²-2ax-2by+a²+b²-R²=0
If R decreases then a²+b²-R² increases.
C and D are unchanged and E increases
Which of the following statements says that a number is between -3 and 3?
A. |x| < 3
B. |x| > 3
Answers
Answer:
A. |x| < 3
Step-by-step explanation:
The absolute value of a number is the value that a number has beyond its sign. This means that the absolute value is the numerical magnitude of the number regardless of whether its sign is positive or negative. Formally, the absolute value of any real number x, is defined by:
[tex]|x|=\left \{ {{x,\hspace{3}if\hspace{3}x\geq0} \atop {-x,\hspace{3}if\hspace{3}x<0}} \right.[/tex]
In this sense, to satisfy the inequality [tex]|x|<3[/tex], the domain of x must be:
[tex]-3<x<3\\\\or\\\\(-3,3)[/tex]
Because for [tex]x<-3[/tex] or [tex]x>3[/tex] the inequality is absurd. For example if x=-4
[tex]|-4|=4<3[/tex] which is not true.
and for x=4
[tex]|4|=4<3[/tex] which is not true.
On the other hand to satisfy the inequality [tex]|x|>3[/tex], the domain of x must be:
[tex]-3>x>3\\\\or\\\\(-\infty,-3)\cup(3,\infty)[/tex]
Because for [tex]x<3[/tex] the inequality is absurd. For example if [tex]x=2[/tex]
[tex]|2|=2>3[/tex] which is not true.
and for x=-1
[tex]|-1|=1>3[/tex] which is not true.
Therefore the correct statement is:
A. |x| < 3
What is 4h-3 expression factored
Answers
This is not factor-able.
-No Common Factors, other than "1"
-Not a difference in squares
-Can't group
You can factor:
1(4h-3)
But, this is useless.
Hope this helps.
-Benjamin
What is the measure of DAE
Answers
Answer:It's A(45)
Step-by-step explanation:
Got it right on Edge
A university study examined the relationship between amount of sleep and school performance in college-age students. The Venn diagram represents the students who participated in the study. If A represents the students who slept more than 7 hours per night, and B represents the students who improved in school performance, what group of students does region C represent? A. students who slept more than 7 hours per night and did not improve in school B. students who slept more than 7 hours per night and did improve in school C. students who slept for exactly 7 hours and performed at the mean level for school performance D. students that slept for exactly 7 hours and did not improve in school
Answers
Region C in the Venn diagram represents students who slept more than 7 hours per night and improved in school performance, as it is the intersection of both sets A and B. The correct option is C.
In the context of the Venn diagram described, where 'A' represents students who slept more than 7 hours per night, and 'B' represents those who improved in school performance, the region 'C' would typically represent the intersection of these two groups.
Therefore, the group of students that region C would represent is option B: students who slept more than 7 hours per night and did improve in school performance. This is because the Venn diagram's intersection area (region C) visually demonstrates where both conditions (sleeping more than 7 hours and improvement in school performance) are met simultaneously.
find the product of: (x+3vs)(2x+3vs)
Answers
288 miles on 12 gallons of fuel; 240 miles on 10 gallons of fuel
Answers
Ratio: 24:1
They are proportional.
Hope this helped!