Given:
The volume of a cube-shaped box is [tex]\dfrac{1}{8}[/tex] cubic meter.
To find:
The perimeter of each of its faces.
Solution:
Let "a" be the side length of the cube shaped box. Then the volume of the box is:
[tex]V=(side)^3[/tex]
[tex]V=a^3[/tex]
It is given that the volume of a cube-shaped box is [tex]\dfrac{1}{8}[/tex] cubic meter.
[tex]a^3=\dfrac{1}{8}[/tex]
Taking cube root on both sides, we get
[tex]a=\dfrac{1}{2}[/tex]
Now, the perimeter of each face of a cube is:
[tex]P=4a[/tex]
Where, a is the side length of the cube.
Putting [tex]a=\dfrac{1}{2}[/tex], we get
[tex]P=4\times \dfrac{1}{2}[/tex]
[tex]P=2[/tex]
Therefore, the perimeter of each face of a cube-shaped box is 2 meters.
Answer: It's 2 meters
Write an explicit formula for a_na n , the n^{\text{th}}n th term of the sequence 5, -25, 125,
The explicit formula for the given geometric sequence is [tex]a_n=5\times(-5)^{n-1}[/tex].
The given sequence is 5, -25, 125,.......
Here, the common ratio is -25/5 = -5 and 125/(-25) = -5.
We know that, the explicit formula for an geometric sequence is [tex]a_n=ar^{n-1}[/tex].
Where, a = first term of the sequence, r= common ratio and n = number of terms.
Substitute, a=5 and r=-5 in [tex]a_n=ar^{n-1}[/tex], we get
[tex]a_n=5\times(-5)^{n-1}[/tex]
Therefore, the explicit formula for the given geometric sequence is [tex]a_n=5\times(-5)^{n-1}[/tex].
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A square has a perimeter of 8g + 16. Which expression also represents the perimeter given the side length of the square?
Answer:
4(2g+4)
Step-by-step explanation:
8g+16
Since this expression represents the total perimeter, we need one side length. So we divide this by 4, because it's a square and all sides are of equal length.
8/4=2
16/4=4
One side is 2g+4. So multiply that equation by 4.
4(2g+4)
DOUBLE CHECK
4(2g+4)
8g+16
---
hope it helps
Answer:
4(2g+4) :):):):):):):):):):):):)
Smart people I ask for you to help me pls
Answer:
d) -90º
Step-by-step explanation:
The diagram shows a triangle.
What is the value of w?
Answer:
w=32
Step-by-step explanation:
33+115+w=180
148+w=180
w=180-148
w=32
A 50-foot ladder is leaning against a vertical wall and forms an angle of 75 degrees with the ground.
Answer:
height of the wall ] is 48.25ft
Step-by-step explanation:
Given data
Length of ladder= 50ft
Angle= 75°
We want to find the Height of the wall
Applying the SOH CAH TOA
sin ∅= opposite/hypotenus
sin 75= opposite/ 50
0.965= opposite/ 50
opposite=0.965*50
opposite= 48.25ft
Hence the height of the wall ] is 48.25ft
An isosceles triangle has an angle that measures 48°. Which other angles could be in that isosceles triangle? Choose all that apply.
Which is the better value? 3 sandwiches for $15.00 or 4 sandwiches for $21.00? PLEASE EXPLAIN DO NOT PUT ANY LINKS
Answer:
3 for 15
cheaper
all you have to do is divide the number of sandwiches by the money.
(i answered again because its a waste of points)
Can you help me for brainlist and explain it to me.
(5x)/6 + 11/4 = 17/3
Answer: Exact Form: x = 7/2
Decimal Form: x = 3.5
Mixed Number Form: x = 3 1/2
How to: Solve for x by simplifying both sides of the equation, then isolating the variable.
Have a great day and stay safe !
PLEASE ANSWER NOW I WILL GIVE BRAINLIEST AND 100 POINTS
Angle D is a circumscribed angle of circle O.
Circle O is shown. Triangle A C B is inscribed within circle O. Side A B goes through point O. The length of A C is 15 and the length of C B is 8. Angle A C B is a right angle. Line segment O E is a radius. Tangents B D and E D intersect at point D outside of the circle to form kite O B D E. Angles O B D and D E O are right angles. The length of E D is 5.
What is the perimeter of kite OBDE?
17 units
23 units
27 units
60 units
Answer: 27
Step-by-step explanation:
Answer:
C. 27
Step-by-step explanation:
What is the INTERQUARTILE RANGE for the data: , 3, 4, 4, 6, 7, 7, 9,
Answer:
The interquartile range for this data set is 3.
Step-by-step explanation:
We are given the data set : 3, 4, 4, 6, 7, 7, 9
In order to find the interquartile range, we can create a box plot for this data set. Each box plot contains a minimum, lower quartile, median, higher quartile, and maximum. Let's find the minimum and maximum before the others as it is the easiest one to identify. The minimum here would be 3 since that's the lowest number here in this data set. The maximum here would be 9 since that's the highest number here in this data set. Before we find the lower and higher quartile, let's find the median first since that way, we don't get mixed up between so many numbers. To find the median, you need to find the value that lies at the middle point throughout the data set. Since there are 7 values in this data set which is a odd number, all we need to do is cross out the first and last value as each set goes by.
3, 4, 4, 6, 7, 7, 9
4, 4, 6, 7, 7
4, 6, 7
6
The work above shows each set of the first and last value getting shorter and shorter, so the median of the data set would be 6. The values, 3, 4, and 9 have already been used. Now that we know the median, the second lowest number here is 4 (lower quartile) and the second highest number here is 7 (higher quartile). In order to find the interquartile range, you need to find the difference between the lower quartile and higher quartile, which means to subtract.
7 (higher quartile) and 4 (lower quartile) = 3 (interquartile range)
Therefore, the interquartile range for this data set is 3.
What is the probability of spinning a number greater than 7 or an odd number? (1 Point)
A.3/10
B.7/10
C.5/10
D.9/10
EXPLAIN PLEASE HSHSJJS
Johnny's drink coaster has a radius of 4 inches. what is the coasters diameter
Answer:
the coaster diameter is 8
diameter=2r d=4+4 #d=8help is appreciated
Which is the graph of the inequality 2 - (x+3) <4- 2x?
OA
-5
0
5
OB
-5
0
5
OC
-5
0
5
OD
-5
0
5
+
OE.
-5
0
5
Answer:
C
Step-by-step explanation:
hope this help Im pretty sure it's right
The graph for the inequality given is graph 1.
What is an inequality?An inequality is a relation between two numbers or expressions that are not equal. It can show which of them is greater or smaller by using symbols like < or >. It can also be a statement of fact about the order relationship of quantities.
Given that an inequality, 2-(x+3) < 4 -2x, we need to determine its graph,
For the same solving the inequality,
2-(x+3) < 4 -2x
2-x-3 < 4 - 2x
Add x to both sides,
2-3 < 4-x
-1 < 4-x
Subtract 4
-1-4 > -x
x > 5
Since, the x is greater than 5 so the graph will be the numbers that greater than 5,
Hence, the graph is 1.
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Deltamath
Please help me I need help!!!!
⚠️Due today!!⚠️.
Answer:
(7,4)
Step-by-step explanation:
what is -42=5(2c+9)-3(c+8)
MUST SHOW WORK!!!
Answer:
The variable c=9 is the answer the varibles
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
c = −15.8571428571
Step-by-step explanation:
-42 = 5(2c + 9) - 3(c + 8)
-42 = 10c + 45 - 3c + 24
-42 = 10c - 3c + 45 + 24
-42 = 7c + 69
-7c -7c
-------------------
-7c - 42 = 69
+42. +42
___________
-7c/-7 = 111/-7
c = −15.8571428571
12. The circumference of circle T is 180x units.
What is the area of the shaded sector?
Answer:900 square units
Step-by-step explanation:
The radius is 90 units. Then the area of the shaded sector will be 900π square units.
What is the area of the sector?Let r be the radius of the sector and θ be the angle subtended by the sector at the center. Then the area of the sector of the circle will be
A = (θ/360°) πr²
The circumference of circle T is 180π units. Then the radius of the circle is given as,
C = 180π
2πr = 180π
r = 90 units
Then the area of the sector is given as,
A = (40°/360°) π x 90²
A = 900π square units
The area of the shaded sector will be 900π square units.
More about the area of the sector link is given below.
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A new car cost $28,950. It loses 15% of its value each year. The formula V(t) = 28,950(1-0.15) models this situation. What does V(t) represent?
Answer:
the answer is 67789 because he will have enough money for the car to play
The product of two positive numbers is 84. The larger number is 2 more than twice the smaller number. What is the larger number?
Answer:
44. (Sorry if im incorrect. I don't clearly understand the question)
Step-by-step explanation:
Answer:
14 or -12
Step-by-step explanation:
Start by writing an equation for this.
84 = x * (2x + 2)
This expression works because 84 is the product of the number (x) and twice the number plus 2.
Using the equation, solve for x.
84 = x * (2x + 2)
First, simplify.
84 = 2x^2 + 2x
Subtract 2x^2 + 2x to make the equation equal to 0.
84 - 2x^2 + 2x = 0
Factor:
−2(x − 6)(x + 7) = 0
Set factors equal to 0.
x − 6 = 0 or x + 7 = 0
x = 6 or x = -7
x represents the smaller number. The larger number is 2x + 2.
So double x and add 2.
2(6) = 12 and 12 + 2 = 14 so that's one of the options
2(-7) = -14 and -14 + 2 = -12 so that's the other.
Check:
14 * 6 = 84
-12 * -7 = 84
8x + 7y + 6z– 5x – 4y - 3z
Answer:
3x+3y+3z
Step-by-step explanation:
Please help with this math ;-;
Answer:
592
Step-by-step explanation:
Surface area of a rectangular prism = 2lw + 2lh + 2wh
where w = width, h = height and l = length
These are the given dimensions...
length = 12 cm
width = 8 cm
height = 10 cm
To find the surface area we plug in the given values into the formula
[tex]SA=2(12)(8)+2(12)(10)+2(10)(8)\\12*8=96\\96*2=192\\12*10=120\\120*2=240\\10*8=80\\80*2=160\\160+240+192=592[/tex]
Hence, the surface area of the rectangular prism is 592
He fourth-grade students at Curtis Estabrook make up 0.3 of all students at the school. What fraction is equivalent to 0.3?
Answer:
3/10
Step-by-step explanation:
fouth grade students at Estrabook make up 0.3 percents of the students at school
The fraction is therefore equivalent to
= 3/10
can someone help me with this it will be much appreciated
Answer:
C) d=400t
Step-by-step explanation:
400mph means 400 miles per hour. (So every hour 400miles is covered due to the fact that its constant)
Therefore, to have the total distance, we take the 400 and multiply it by the amount of Time spent. (T in this inatance)
Pythagorean theorem: find the perimeter
What is the perimeter?
Answer:
5
Step-by-step explanation:
Lets recall what the pythagroens theorm is:
A^2+B^2=C^2. A and B are the side lengths(adjacent and opposite), while C is the longest sloped length(hyotenouse).
Lets plug in our values for each, and solve for the missing one:
12^3+b^2=13^2
Square each value(except for unknown):
144+b^2=169
Now get b alone(subtract 144 from both sides):
b^2=25
Now root both sides(removes the ^2):
b=5
This is your answer!
Hope this helps! :)
Hannah just put a 36-foot long
fence around her rectangular
garden. What is the length of the
garden if it is 12 feet wide?
Answer:
perimeter=sum of all sides
p=2(L+W)
36=2(L+12)
36-24=2L
12=2L
L=6
A rectangle is a 2-D shape with 4 angles. The length of the garden if it is 12 feet wide is 3 feet
How to calculate the perimeter of a rectangle?A rectangle is a 2-D shape with 4 angles. The formula for calculating the perimeter of a rectangle is expressed as:
P = 2(length + width)
Given
Perimeter = 30 feet
width = 12 ft
Substitute
30 = 2(l + 12)
15 = l + 12
l = 3 feet
Hence the length of thegarden if it is 12 feet wide is 3 feet
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Someone please help me I’ll give out brainliest please dont answer if you don’t know
Answer:
1 < x
Step-by-step explanation:
We have to used same order of operations just as we would in an equation;
15 > -x + 16
=> First subtract 16 from each side
-1 > -x
=> To bring x to positive, divide each side by -1 (Since we are dividing by a negative value, the inequality sign will switch)
Therefore the answer is: 1 < x
Hope this helps!
Answer:
15>-x+16
-1>-x
1<x
hope this helps
have a good day :)
Step-by-step explanation:
A soccer player kicks a ball towards the goal. The height of the ball follows a path modeled by the function ℎ()=−162+112. How long does it take the ball to hit the ground?
If a soccer ball is kicked straight up from the ground with an initial velocity of 32 feet per second, then it's height above the earth in feet is given by s(t)=-16t^2+32T where t
Put numbers in the blank to show the meaning of 5x2 =10
___ is ___ times as ____
Answer:
10,2,5
Step-by-step explanation:
Pleaseeee help me it’s a pre quiz and I’m alone with the teacher
Answer:
x= 6; y=3 root 3; m=6; n= 6 root 2; a=2; b=2
Step-by-step explanation:
Special Triangles