Given:
Length of the rectangular prism = [tex]\dfrac{d-2}{3d-9}[/tex]
Width of the rectangular prism = [tex]\dfrac{4}{d-4}[/tex]
Height of the rectangular prism = [tex]\dfrac{2d-6}{2d-4}[/tex]
To find:
The volume of the rectangular prism.
Solution:
We know that the volume of rectangular prism is:
[tex]V=l\times w\times h[/tex]
Where, l is the length, w is the width and h is the height.
After substituting the given values, we get
[tex]V=\dfrac{d-2}{3d-9}\times \dfrac{4}{d-4}\times \dfrac{2d-6}{2d-4}[/tex]
[tex]V=\dfrac{d-2}{3(d-3)}\times \dfrac{4}{d-4}\times \dfrac{2(d-3)}{2(d-2)}[/tex]
[tex]V=\dfrac{(d-2)\times 4\times 2(d-3)}{3(d-3)\times (d-4)\times 2(d-2)}[/tex]
Cancel out the common factors.
[tex]V=\dfrac{4}{3\times (d-4)}[/tex]
[tex]V=\dfrac{4}{3(d-4)}[/tex]
[tex]V=\dfrac{4}{3d-12}[/tex]
Therefore, the correct option is C.
can someone help me pls
Answer:
Step-by-step explanation:
I need this question need done asap
Answer: The answer to this is 7.
H² = B² + P²
(25)² = (24)² + p²
625 = 576 + p²
p² = 49
p = 7
squareroot of
[tex]12 \frac14[/tex]
Answer:
7/2
Step-by-step explanation:
12 1/4 is equivalent to the improper fraction 49/4.
The square root of 49/4 is 7/2.
The squareroot of [tex]12 \frac14[/tex] is [tex]3 \frac{1}{2} [/tex].
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex] \sqrt{12 \frac{1}{4} } \\ \\ = \sqrt{ \frac{49}{4} } \\ \\ = \sqrt{ \frac{7 \times 7}{2 \times 2} } \\ \\ = \sqrt{ \frac{( {7})^{2} }{( {2})^{2} } } \\ \\= \frac{7}{2} \\ \\ = 3 \frac{1}{2} [/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]
pls help in the middle of my final lol
Answer:
b) 2
Step-by-step explanation:
both angles have the same values, they are technically opposites.
Set your formula up as
130 = 66x - 2
130 + 2 = 66x
132/66 = x
2 = x
I would really appreciate someone helping me with this one.
About 20,000 white and brown beans were mixed in a bag. You take out 400 beans randomly from the bag. Of these, 220 are brown and 180 are white. How many white beans should be in the bag from the beginning?
Answer:
9,000
Step-by-step explanation:
180/400 × 20,000 = 9,000
Answer:
9,000
Step-by-step explanation:
180÷400= 0.45
0.45×20,000= 9,000
Help me please I really need help
Answer:
[tex]17\sqrt{2}[/tex] ft
Step-by-step explanation:
take angle b as reference angle
using sin rule
sin 45 = opposite / hypotenuse
[tex]\frac{1}{\sqrt{2} }[/tex] = 17 / BC
BC =17 / [tex]\frac{1}{\sqrt{2} }[/tex]
BC = 17 * [tex]\sqrt{2}[/tex]
BC = [tex]17\sqrt{2}[/tex] ft
Answer:
BC = 17[tex]\sqrt{2}[/tex] ft
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value
sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then
sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AC}{BC}[/tex] = [tex]\frac{17}{BC}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )
BC = 17[tex]\sqrt{2}[/tex] ft
PLEASE HELP ITS DUE TONIGHT, IM CONFUSED
Answer:
this may or may not help ya :/
perimeter of a rectangle = 2 × ( length + breadth)= 2 ×( x + 2 + x )
= 2 ( 2x + 2)
= 4x + 4 units
area of a rectangle = length × breadth= (x + 2) × x
= x² +2x Sq. units
D. (-7,1) PLEASE HELPPPPPPP ASAAAPPPPP
Answer:
2,3 and -1,7
Step-by-step explanation:
The point D(-4,-2) Is rotated 180° counterclockwise around the origin. What are the coordinates of the resulting point, D' ?
Answer:
Step-by-step explanation:
use formula
A(x,y)=A'(-x,-y)
D(-4,-2)=D'(4,2)
Find the surface area of each figure.
Answer:
For a cylinder of radius R and height H, the surface area is given by:
A = 4*pi*R^2 + H*(2*pi*R)
Where pi = 3.14
We can just use that formula for each one of the given cylinders.
1) We can see that the diameter is 10 yd, and the radius is half of the diameter, then the radius is:
R = 10yd/2 = 5yd
And the height is 3yd, then H = 3yd
Replacing these in the area equation, we get:
A = 4*3.14*(5 yd)^2 + 3yd*(2*3.14*5yd) = 408.2 yd^2
2) Here we can see that the diameter is 24 cm, then the radius is:
R = 24cm/2 = 12cm
And the height is H = 10cm
Then the area is:
A = 4*3.14*(12 cm)^2 + 10cm*(2*3.14*12cm) = 2,562.24 cm^2
3) In this case we have a radius equal to 12 cm, and a height equal to 7 cm, then the area is:
A = 4*3.14*(12 cm)^2 + 7cm*(2*3.14*12cm) = 2,336.16cm^2
4) Here is hard to see the measures, I think that here we have:
diameter = 8m
Then R = 8m/2 = 4m
And the height is also 8m, H = 8m
Then the area is:
A = 4*3.14*(4 m)^2 + 8 m*(2*3.14*4m) =401.92 m^2
Solve for b:
16b = 12
A. b = 28
B. b = 3/4
C. b = 4/3
D. b = 1/4
Answer:
16b=12
Step-by-step explanation:
divide both sides by 16
so twelve divide 16 is B
Answer:
B. b = 3/4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
Identify
16b = 12
Step 2: Solve for b
[Division Property of Equality] Divide 16 on both sides: b = 12/16Simplify: b = 3/4See image for question. Show workings
Answer:
#85 men and 2 women = 7 people with no restriction
7P7 = 7!a) Two women must sit next to each other:
2!*5! = 2*120 = 240b) The two women must not sit next to each other:
7! - 2!5! = 4800#93 men and 5 women with no restriction:
8P8 = 8! = 40320Please help due today
Answer:
see attached file
Step-by-step explanation:
What is the geometric mean of 8 and 10?
Answer:
Geometric mean of 2 numbers is a square root of the product.
Given 8,10
Geometric mean = √(8*10)
=√80
= √(16*5)
= 4√5
Use Cramers Rule to solve the system
2x - 3y = 11
-6x + 8y = 34
Step-by-step explanation:
given :
2x - 3y = 11
-6x + 8y = 34
find : the solutions of the system by using Cramers Rule.
solutions:
in the matrix 2x2 form =>
[ 2 -3] [x] [11]
=
[-6 8] [ y] [34]
D =
| 2 -3 |
|-6 8 |
= 8×2 - (-3) (-6)
= 16-18 = -2
Dx = | 11 -3 |
| 34 8 |
= 11×8 - (-3) (34)
= 88 + 102
= 190
Dy = | 2 11 |
|-6 34 |
= 2×34 - (-6) (11)
= 68 + 66
= 134
x = Dx/D = 190/-2 = -95
y = Dy/D = 134/-2 = -67
the solutions = {-95, -67}
Answer:
(x , y ) = ( -95, -67)
Step-by-step explanation:
Given system :-
2x - 3y = 11
-6x + 8y = 34
Find :- Solutions of system by using Cramers rule.
Solution :-
To solve the system using Cramer's rule, list all needed determinants.
[tex] D = \left|\begin{array}{cc}2& - 3 \\ - 6 & 8\end{array}\right| [/tex]
[tex]D_1 = \left|\begin{array}{cc}11 & - 3 \\ 34 & 8\end{array}\right| [/tex]
[tex]D_2 = \left|\begin{array}{cc} 2& 11 \\ - 6 & 34\end{array}\right| [/tex]
Evaluate the determinants.D = 8 × 2 - ( -3) ( -6 )
= 16 - 18 = -2
[tex]D_1[/tex] = 11 × 8 - ( -3 ) ( 34 )
= 88 + 102 = 190
[tex]D_2[/tex] = 2 × 34 - ( 11 ) ( -6 )
= 68 + 66 = 134
Since D ≠ 0, Cramer'rs rule can be applied , so find x , y using the formulas;- x = [tex] \frac{D_1}{D}[/tex] , y = [tex]\frac{D_2}{D}[/tex].Plug the value into the formula:-
x = [tex] \frac{190}{-2}\\[/tex] , y = [tex]\frac{134}{-2} \\[/tex].
Divide
x = -95 , y = -67
The possible solution of the system is the ordered pair ( x , y ).(x , y ) = ( -95, -67)
A tool box has the dimensions of 9 in by 3 in by 5 in. If Jesse plans to double all three dimensions to build a larger tool box, he believes he would double the volume of the tool box. Is he correct?
Answer:
No, the volume will be incresed by 8 times (2x2x2=8)
Step-by-step explanation:
[tex]Volume=3*5*9=135 in^{3} \\increased -Volume=6*10*18=1080 in^{3}\\\frac{1080}{135} =8[/tex]
Question 1 of 10
Classify the following triangle. Check all that apply.
60
60
60
O A. Isosceles
B. Equilateral
O C. Scalene
O D. Acute
E. Right
Answer:
A, B, & D
Step-by-step explanation:
A. isosceles - 2 sides equal (actually) all sides are equal
B. equilateral - all sides equal and all angles are equal too
D acute - all angles are less than 90 degrees
What are all of the factors pair’s of 24
Answer:
1,24 2,12 3,8 4,6
Step-by-step explanation:
that's all of them
Which expressions are equivalent to the one below? Check all that apply.
log 2 - log 6
A. log(2) + log(1/6)
B. log 2
C.log(1/3)
D. log 3
Answer:
is there a picture or something i cant understand
Step-by-step explanation:
Answer:
C. log(1/3)
Step-by-step explanation:
log a - log b = log(a/b)
Write an equation for the nth term of the arithmetic sequence. -6,-9,-12,-15
Answer:
[tex]a_{n}[/tex] = - 3n - 3
Step-by-step explanation:
The nth term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 6 and d = a₂ - a₁ = - 9 - (- 6) = - 9 + 6 = - 3 , then
[tex]a_{n}[/tex] = - 6 - 3(n - 1) = - 6 - 3n + 3 = - 3n - 3
Andrew collects stamps. He collected a total of 150 stamps. If 68% of the stamps he collected were foreign, how many other stamps did he collect?
answer is 48 stamps
explanation is 150 times 68% is 102 stamps then that means there would be 48 other stamps.
2 x 12 divided by (2 + 6) +2^3
Answer:
11
Step-by-step explanation:
To add fractions, find the LCD and then combine or Pemdas
Answer:
Your answer should be 1.5
Step-by-step explanation:
Can I get brainliest
What are you Thoughts on türkey ?
Answer:
Turkey, country that occupies a unique geographic position, lying partly in Asia and partly in Europe. Throughout its history it has acted as both a barrier and a bridge between the two continents
Step-by-step explanation:
Answer:
Hi !!!U remember me?I love Turkey!!!What are the coordinates of point E ?
(2, 0)
(0, 2)
(2, 2)
(0, 0)
Check image to understand
Answer:
(0,2)
Answer B..............
Answer:
(0,2)
Step-by-step explanation:
there is nothing for the x-axis only y-axis which is on the right so it moves up by 2
Please help 50 points !!
3. Solve x3 + 64 = 0.
A. -4.2 + 213, and 2-213
B. -4, 2+ 2/2/5, and 2-2113
C. -4. - 2 + 2/2/3, and -2- 2113
D. -4. 2+ iv3, and 2-in3
Answer:
−4,2+2i√3, and 2−2i√3 is the correct answer
Which expression represents the series 1+5+25+125+625
Answer:
[tex]1 = {5}^{0} [/tex]
[tex]5 = {5}^{1} [/tex]
[tex]25 = {5}^{2} [/tex]
[tex]125 = {5}^{3} [/tex]
[tex]625 = {5}^{4} [/tex]
option A is correct, it starts with the power of zero (equals always one, see it as
[tex] \frac{5}{5} [/tex]
and it goes up to the power of 4
Letter D thanks for asking for help
How do I solve this. Please help!!
Answer:
x = 4[tex]\sqrt{2}[/tex]
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value
sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then using the upper 45°
sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{4}{x}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )
x = 4[tex]\sqrt{2}[/tex]
Can someone help me with this. Will Mark brainliest.
That would be central angels !
Please mark me, I'd like to get to virtuoso.
Find the circumcenter of a triangle ABC with vertices at A(2, 2), B(0, -4), and C(7, -1)
20 POINTS PEOPLE
Answer:
just sum up the 3 sides.
quick side note: I lost my previews writing bc I waited too long too post it :(
but long story short: you get the length of, say, AB by using pythagoras theorem.
[tex] \sqrt{ {2}^{2} + {6}^{2} } [/tex]
do this with BC and CA too
the 2 is just the distance in x-direction and the 6 is just the distance in y-direction
and since a²+b²=c², we need to take the root to get the distance between 2 points
see screenshot for summing up the three distances. the part out of screen is written out above
the sum is 21.011 length units
hope it helps. have a nice day.
feel free to ask questions.
and maybe, if I'm feeling really nice and a lil bored, i leave greeting answers under yours to enable posters to give gives brainliests. if theres no 2and answer at least
The lines shown below are parallel. If the green line has a slope of -3/7, what is
the slope of the red line?
10-
3
O A.
O
IN
OB.
B.
5
10
16
.5
O c. 1 /
O D. 1
102
Answer: the slope of green line = [tex]-\frac37[/tex]
Step-by-step explanation:
We know that,
If two lines are parallel then their slopes(rate of change of y with respect to x) are equal.
Given: The red line and the green line are parallel.
The slope of red line = [tex]-\frac37[/tex]
Then, the slope of green line = [tex]-\frac37[/tex] [Slopes of two parallel lines are equal]
Hence, the slope of green line = [tex]-\frac37[/tex]
