The edge length of a cube with a volume of 216 cubic inches is 6 inches.
To find the edge length of a cube with a volume of 216 cubic inches, we can use the formula: Volume = [tex]edge length^3[/tex]. This formula tells us that the volume of a cube is equal to the edge length raised to the power of 3.
Given that the volume is 216 cubic inches, we can rearrange the formula to solve for the edge length. Let's call the edge length "x":
[tex]x^3 = 216[/tex]
To find the value of x, we need to find the cube root of 216. The cube root of a number is the number that, when multiplied by itself three times, equals the original number.
In this case, the cube root of 216 is 6, because 6 x 6 x 6 = 216.
Therefore, the edge length of a cube with a volume of 216 cubic inches is 6 inches.
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The perimeter of a rectangle is 18x – 24 and the width is
2x – 9. What is the length?
A: -7x + 3
B: 16x + 15
C: 7x - 3
D: 7x + 3
Answer:
C
Step-by-step explanation:
18x - 24 = 2 [length + 2x - 9]
9x - 12 = length + 2x - 9
Length = 7x - 3
Answer:
C: 7x - 3
Step-by-step explanation:
The perimeter of a rectangle is given by
P = 2(l+w) where l is the length and w is the width
We know the perimeter is 18x -24 and the width is 2x-9. Substituting these values into the equation
18x-24 = 2( l+2x-9)
Divide each side by 2
(18x-24)/2 = 2/2( l+2x-9)
9x-12 = l+2x-9
Add 9 to each side
9x-12 +9 = l+2x-9+9
9x -3 = l+2x
Subtract 2x from each side
9x-2x-3 = l+2x-2x
7x -3 = l
The length is 7x-3
HELP WORTH 25 POINTS question:
The diagram can be represented by the equation 25=2+6x. Explain where you can see the 6 in the diagram
the 6 is the 6 x's that is in the diagram
Answer:
The 6 is the 6x
Step-by-step explanation:
EQUATION: 25=2+6x, in the diagram there are 7 total boxes, one with a 2 in it, and the other 6 have x's.
What does z= ? I need the answer asap, help plsss !
Answer:
51
Step-by-step explanation:
tan(z) = 10/8
z = (tan^-1)(1.25)
z = 51.3401917459
Answer:
D) 51
Step-by-step explanation:
Form an equation to find z:
tan(z)=10/8
tan^-1(tan(z))=tan^-1(10/8)
z=51.34
So the correct choice is D
There is a spinner with 9 equal areas, numbered 1 through 9. If the spinner is spun one time, what is the probability that the result is a multiple of 2 and a multiple of 3?
Answer:
.
Step-by-step explanation:
The probability that the result is a multiple of 2 and a multiple of 3 is 1/9.
What is a spinner?A fidget spinner is a toy that consists of a ball bearing in the center of a multi-lobed flat structure made from metal or plastic designed to spin along its axis with pressure.
How to solve?Here,
Multiples of 3(3,6)
Multiples of 2(2,4,6,8)
Intersection (6)
Favorable outcome: 1
Total outcome: 9
The probability: 1/9
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solve the question of what is 2 + 3
Answer:
it's 5
Step-by-step explanation:
[tex]2 + 3 = 5[/tex]
5
Step-by-step explanation:
2 + 3 = 5
Total of answer is 5
Write the expression in simplest form.
(-11/2 x + 3)-2(-11/4 x - 5/2)
Answer:
-(11 / 2x + 3) + (11x / 2) + 5
Step-by-step explanation:
I hope this helps!
(x+y)(x–y), if x=−3, y=−5
Answer: answer is -16
Step-by-step explanation:
Substitute the values of x and y into the equation to give
(3 + (-5)) (3-(-5))
(3-5) (3+5)
(-2) (8)
-16
determine area under the standard normal curve given the z score, z less than 1.25
Answer:
0.8944
Step-by-step explanation:
Use a calculator or table.
Using a z-score table:
P(z < 1.25) = 0.8944
What Are The Factors Of The Expression? -X2+2x+35
A. -1(X-5)(X+7)
B. (X-5)(X-7)
C. -1(X+5)(X-7)
B. (X+5)(X-7)
For this case we must factor the following expression:
[tex]-x ^ 2 + 2x + 35[/tex]
We take common factor -1, taking into account that [tex]- * - = +:[/tex]
[tex]-1 (x ^ 2-2x-35)[/tex]
We factor the expression within the parenthesis, for this we look for two numbers that, when multiplied, result in -35 and when added, result in -2. These numbers are -7 and +5.
[tex]-7 + 5 = -2\\-7 * 5 = -35[/tex]
Thus, the factored expression is:
[tex]((x-7) (x + 5))[/tex]
Finally we have:
[tex]- (x-7) (x + 5)[/tex]
Answer:
Option C
Line M is parallel to line L. Name the angles which are congruent to angle C in the figure shown below:
A) S, Q, and B
Hope that help you!
Answer:
S, Q and B
Step-by-step explanation:
Those are the angles.
A circle with radius 9 has a sector with a central angle of 120°
What is the area of the sector?
Either enter an exact answer in terms of it or use 3.14 for it and enter your answer as a decimal
Step-by-step explanation:
[tex]radius = 9[/tex]
[tex]central \: angle = 120 \times \frac{3.14or\pi }{180} radian[/tex]
[tex]central \: angle = 2.09334 \: approximately = 2.1[/tex]
[tex]area \: of \: sector = \frac{1}{2} \times {r}^{2} \times central \: angle[/tex]
[tex]putting \: the \: values[/tex]
[tex]area \: of \: sector = \frac{1}{2} \times {9}^{2} \times 2.1[/tex][tex] = \frac{1}{2} \times 9 {}^{2} \times 2.1[/tex]
[tex]area \: of \: sector \: = 85.05 {m}^{2} [/tex]
Answer:
27π square units
Step-by-step explanation:
Note that a central angle of 120° is exactly 1/3 of a full circle.
So to find the area of this sector, find the area of the whole circle and divide your result by 3:
A = (1/3)π(9)^2 = 27π square units
How much further up the wall does the ladder in figure 2 reach than
the ladder in figure 1 (to the nearest tenth of a foot)?
The ladder in figure 2 reaches 3.2 feet further up than the ladder in figure 1.
Step-by-step explanation:
Step 1:
In both the given figures, the ladder, the wall and the floor form a right-angled triangle. The floor is the adjacent side, the wall is the opposite side and the ladder is the hypotenuse.
According to the Pythagorean theorem,
[tex]a^{2}+b^{2}=c^{2}[/tex], where c is the length of the hypotenuse while a and b are the lengths of the other two sides.
Step 2:
For the ladder in figure 1, assume the distance from the floor to the ladder's top is x feet. So a = x, b = 8 and c = 10 (hypotenuse).
[tex]a^{2}+b^{2}=c^{2}[/tex], [tex]x^{2}+8^{2}=10^{2}[/tex], [tex]x^{2}=100-64=36, x=\sqrt{36}=6 \text { feet }[/tex].
So the distance between the floor and the ladder's top is 6 feet.
Step 3:
For the ladder in figure 2, assume the distance between the floor and the ladder's top is y feet. So a = y, b = 4 and c = 10 (hypotenuse).
[tex]a^{2}+b^{2}=c^{2}[/tex], [tex]y^{2}+4^{2}=10^{2}[/tex], [tex]y^{2}=100-16=48, x=\sqrt{84}=9.1651 \text { feet }[/tex].
So the distance between the floor and the ladder's top is 9.1651 feet.
Step 4:
The difference in heights = The wall height in figure 2 - the wall height in figure 1.
The difference in heights = 9.1651 feet - 6 feet = 3.1651 feet.
Rounding this off to the nearest tenth of a foot, we get 3.2 feet.
Answer: the answer is 3.2 when rounded
Step-by-step explanation:
if you want the explanation look at the one above
The ratio of pencils to pens in the drawer is 8:14. If there are actually twice as many pencils as in the ratio, how many pencils and pens are there in the drawer?
A. 8 pens, 14 pencils
B. 8 pencils, 14 pens
C. 16 pens, 28 pencils
D. 16 pencils, 28 pens
Yo sup??
let the number of pencils and pens be 8x and 14x
x=2
therefore the number of pens and pencils are
16 pencils and 28 pens
Hope this helps
As the actual no. of pencils is double than that of the given ratio it is
C. 16 pens, 28 pencils
What are ratio and proportion?A ratio is a comparison between two similar quantities in simplest form.
Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.
In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.
Given, The ratio of pencils to pens in the drawer is 8 : 14, so for every 14 pencils, there are 8 pens.
Given, there are actually twice as many pencils as in the ratio.
Therefore actual no. of pencils are (2×14) = 28 pencils.
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Segments CD, AE, and BF are medians of triangle ABC. What is the value of x?
A. x = 3.7
B. x = 4.75
C. x = 5.8
D. x = 8
Step-by-step explanation:
The centroid divides the length of each median in 2:1 ratio.
The length of the part between the vertex and the centroid is twice the length between the centroid and the mid-point of the opposite side.
When CD is the median, C is the vertex and D is the midpoint of AE.
CG = 2 × DG
6.5= 2(3x- 11)
6.5 = 6x -22
6x= 6.5+22
6x= 28.5
x= 28.5/6
x= 4.75
optionB
Before tax, and miscellaneous charges, Jason's cell phone bill is $100 per month plus $0.15 for every text message that he sends or receives. Which expression represents his cell phone bill for any given month?
A) 100 + 15t
B) 100 + 0.15t
C) 0.15 + 100t
D) 100t - 0.15
Answer:
b
Step-by-step explanation:
100 dollars month
100
plus
100+
0.15 per text
100+15t
PLEASE HELP NEED THIS TO PASS
The solutions to f(x) = 64 is x = 7 and x = –7.
Solution:
Given data:
[tex]$f(x)=x^{2}+15[/tex] – – – – (1)
[tex]f(x)=64[/tex] – – – – (2)
To find the solutions to f(x) = 64.
Equate equation (1) and (2), we get
[tex]x^2+15=64[/tex]
Subtract 15 from both sides of the equation.
[tex]x^2+15-15=64-15[/tex]
[tex]x^2=49[/tex]
[tex]x^2=7^2[/tex]
Taking square root on both sides of the equation, we get
x = ±7
The solutions to f(x) = 64 is x = 7 and x = –7.
Which equation has both 4 and -4 as possible values
Answer:
x² - 16 = 0
Also,
|x| = 4
Step-by-step explanation:
(x-4)(x+4) = 0
x² - 16 = 0
|x| = 4
x = 4, -4
The perimeter of the triangular park shown on the right is 10x - 3. What is the missing length?
Answer:
6x - 1
Step-by-step explanation:
Okay this is basically polynomial algebra:
1. Add the value of the lengths already given.
like terms: 3x + x = 4x, -4 + 2 = -2. Now you're left with, 4x - 2.
2. Find the difference between the perimeter and the sum of the lengths.
(10x -3) + (4x + 2) = 6x - 1
Please answer my question Experts ASAP. Thank you in advance and remember to wash your hands with antibacterial soap for 1 minute.
The area of the given trapezoid is 60 square inches.
Step-by-step explanation:
Step 1:
The trapezoid's area is calculated by adding the base lengths and multiplying it with the trapezoid's height and [tex]\frac{1}{2} .[/tex]
The trapezoid's area, [tex]A = (sum of the lengths)(\frac{height}{2})[/tex]
Here the sum of the base lengths is given as 15 inches.
Step 2:
In the given problem, the sum of the base lengths is 15 inches and the height of the trapezoid is 8 inches.
The trapezoid's area [tex]A = (15)(\frac{8}{2} )= (15)(4) = 60.[/tex]
So the area of the given trapezoid is 60 square inches.
!! How could it be s
The solution to the system of equations are (2, 5).
Solution:
The system of equations are
x + y = 7 – – – – (1)
2x – y = –1 – – – – (2)
To find x from equation (1):
x + y = 7
Subtract y from both sides of the equation, we get
⇒ x + y – y = 7 – y
⇒ x = 7 – y – – – (3)
Substitute (3) in (2) we get,
2(7 – y) – y = –1
14 – 2y – y = –1
14 – 3y = –1
Subtract 14 from both sides,
–3y = –15
Divide by –5 on both sides,
y = 5
Substitute y = 5 in equation (3)
x = 7 – 5
x = 2
The solution to the system of equations are (2, 5).
A box is filled with 8 blue cards, 8 yellow cards, and 2 green cards. A card is chosen at random from the box. What is the probability that the card is not yellow?
The probability that the card is not yellow is [tex]\frac{5}{9}[/tex]
Solution:
The probability of an event is given as:
[tex]Probability = \frac{ \text{ number of favorable outcomes }}{ \text{ total number of possible outcomes }}[/tex]
From given,
A box is filled with 8 blue cards, 8 yellow cards, and 2 green cards
Total number of possible outcomes = 8 + 8 + 2 = 18
Favorable outcome = card is not yellow
Favorable outcome = card is blue or green = 8 + 2 = 10
Therefore,
[tex]Probability = \frac{10}{18}\\\\Probability = \frac{5}{9}[/tex]
Thus the probability that the card is not yellow is 5/9
The probability that the chosen card is not yellow = [tex]\frac{5}{9}[/tex]
Step-by-step explanation:
Step 1 :
Given,
Number of blue cards in the box = 8
Number of yellow cards in the box = 8
Number of green cards in the box = 2
Hence total number of cards = 18
We need to find the probability that the chosen card is not yellow.
Step 2 :
Probability that the selected card is yellow = [tex]\frac{8}{18}[/tex] = [tex]\frac{4}{9}[/tex] [since the favorable outcome = 8 and total outcome = 18]
Hence the probability of chosen card not being yellow = 1 - [tex]\frac{4}{9}[/tex] = [tex]\frac{5}{9}[/tex]
Step 3 :
Answer :
The probability of chosen card not being yellow = [tex]\frac{5}{9}[/tex]
During a 3-day event a total
of 7,458 people attended. If
the same number of people
attended each day, how
many people attended on
one day?
Divide Whole Numbers by Unit Fractions Quiz How many 1/5 s are in 9? A. 5/9 B. 9/5 C. 45 D. 4 1/2
The output is ten less then the input x
Y=X-10
Step-by-step explanation:
Step 1:
Let X be the input and Y be the output variable
Given: The output is 10 less than the input
Step 2:
Y=X-10 be the require function
Eg:
for X=1, Y = -9
X=2, Y=-8, etc
Which relationships describes angles 1 and 2?
Select EACH correct answer
A. Adjacent angles
B. Vertical angles
C. Supplementary angles
D. Complementary angles
Answer:
C. Supplementary angles
Step-by-step explanation:
Supplementary angles add up to 180 degrees, making a straight line.
Answer:
Adjacent and Supplementary
Step-by-step explanation:
Adjacent: having a common vertex and a common side.
Supplementary: When two angles add up to 180 degrees.
I need help with this one please do not do decimals!
I've attached the picture you need below. 1 3/4 is equal to 1 6/8 as well, so that is why the first one is placed over there.
Answer:
joja90 did it all theres no point explaining anything now lol
Step-by-step explanation:
A grocery chain conducts a random survey of sales in stores to determine the types of juice to restock. The results are shown on the table. Which juice is MOST LIKELY to sell BEST when restocked? AN) Organic Apple Juice B) Organic Grape Juice C) Organic Pineapple Juice D) Grape Juice (from concentrate)
Answer:pineapple juice
Step-by-step explanation:
Select the most SPECIFIC name for this shape
O Rectangle
O
Square
O
Quadrilateral
O kite
Answer: Kite
Step-by-step explanation:
Solve this question
giving 5 points
Answer:
tossing two coins once
Step-by-step explanation:
i calculated.oh and my battery's About to die and i need to write the equation so if it cuts something off, it died.Ok so since it goes two ways and has headS And tai
the sum of the digits in a two-digit number is 15. Three times the second digit equals two times the first digit. Write and solve a system of equations to represent this situation. Intepret the solution.
Answer:
3x 5
Step-by-step explanation:
Answer: 96 ordered pair form : (9, 6)
Step-by-step explanation:
x + y = 15
1x + 1y = 15
-1x
y = 15 - 1x (we did this so that it can be the in y=mx format)
3y = 2x (substitute the y for the solution above)
3 ( 15 - 1x ) = 2x
45 - 3x = 2x
+3x +3x
45 = 5x (divide 5 on both sides)
45/5 = 9 ; x = 9
now go back to the first equation and substitute the x for 9
y = 15 - 1(9)
y = 15 - 9
y = 6
hope this helped :)