Answer:
10 centimeters.
Step-by-step explanation:
First, we need to remember what's the formula to get the volume of a rectangular solid and a cube.
The volume of the first equals:
Volume = Length x Width x Height
While the volume of the cube is:
[tex]Volume = a^{3}[/tex] where a is the edge.
We are given the measures of the rectangular solid so we can calculate its volume:
[tex]Volume= (20)(5)(10)=1000[/tex] cubic cms.
Now, we know that both the volume of the rectangular solid and the cube are the same so we will use this information to calculate the edge of the cube.
[tex]1000=a^3 \\\sqrt[3]{1000} =\sqrt[3]{a^3} \\10=a[/tex]
Thus the length of an edge of the cube is 10 centimeters
Given A(-4,8), D(-7,4), and H(-3,1), plot the points, and
trace the triangle.
Answer:
See attached
Step-by-step explanation:
The points are plotted and connected to make a triangle
[tex]\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\put(-4,8){\circle*{0.3}}\put(-7,4){\circle*{0.3}}\put(-3,1){\circle*{0.3}}\qbezier(-4,8)(-4,8)(-3,1)\qbezier(-4,8)(-4,8)(-7,4)\qbezier(-7,4)(-7,4)(-3,1)\end{picture}[/tex]
Find the formula for the inverse function.f(x)=2/3-4x
Answer:
f exponent − 1 ( x ) = -X/4 + 1/ 6
Plz mark brainlyest
Step-by-step explanation:
how 45 degree angles does it take to make a full turn?
PLSSSSSSSSSSSSSSS HELP
Answer:
8 turns
Step-by-step explanation:
If we want to take a full turn, we'd turn around 360° since we'd be in the same position.
If we turn in intervals of 45°, we need to find how many times 45 goes into 360. To do this, we can divide.
[tex]360\div45=8[/tex]
Hope this helped!
Answer:
It will take 8 45 degree angles to make a full turn
Step-by-step explanation:
360 degrees is a full turn
360/45 =8
It will take 8 45 degree angles to make a full turn
A student finds the slope of the line between (8,17,) and (1,4) she writes 17-4/1-8 What mistake did she make?
The first mistake is that she didn't use parenthesis to indicate we're dividing all of one thing (numerator) over all of another expression (denominator)
slope = rise/run = numerator/denominator
So she should write (17-4)/(1-8) to indicate all of "17-4" is divided over all of "1-8"
However, there's another error that your teacher is probably more focused on. Note how 17-4 represents subtracting the y coordinates from left to right. We start with the left point y coordinate 17 and subtract off the right point y coordinate 4
left y - right y = 17 - 4
But then the student swaps the order when they wrote 1-8. Instead it should be 8-1
-----------------
Here's what they should have written (17-4)/(8-1)
This is the same as (4-17)/(1-8)
We can subtract in any order as long as it stays consistent between the numerator and denominator
20 POINTS! ***CORRECT*** ANSWER GETS BRAINLIEST!!!!
The fraction model below shows the steps that a student performed to find a quotient.
Which statement best interprets the quotient?
A. There are 5 1/6 three-fourths in 4 1/8
B. There are 5 1/6 three and one-eights in 3/4
C. There are 5 1/2 three and one-eights in 3/4
D. There are 5 1/2 three-fourths in 4 1/8
Answer:
(D) There are [tex]5 \frac{1}{2}[/tex] three-fourths in [tex]4 \frac{1}{8}[/tex]
Step-by-step explanation:
We can see that in this model, the student tried to put [tex]\frac{3}{4}[/tex] into [tex]4 \frac{1}{8}[/tex]. We know this because the top of Step 2 is [tex]4 \frac{1}{8}[/tex] and he is counting how many fourths in the bottom.
So this becomes the division statement:
[tex]4 \frac{1}{8} \div \frac{3}{4}[/tex].
We can convert [tex]4 \frac{1}{8}[/tex] into a mixed number by multiplying 8 and 4, then adding 1.
[tex]\frac{33}{8} \div \frac{3}{4}[/tex].
Multiply by the reciprocal:
[tex]\frac{33}{8} \cdot \frac{4}{3} = \frac{132}{24}[/tex]
Which simplifies down to
[tex]\frac{11}{2}[/tex], which is just [tex]5 \frac{1}{2}[/tex] in improper form.
Hope this helped!
Answer:
D
Step-by-step explanation:
There are 55 students in mr.fishers p.e class. There are 30 6th graders and 25 7th graders in the class. What is the ratio of 6th graders to 7th graders in nr.fishers class
Answer:
6:5
Step-by-step explanation:
It's 6:5 trust homie
Write the equation of the line which passes
through the points (4,2) and (-3, 1)
Answer:
y = 1/3x + 4/7
Step-by-step explanation:
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Slope-Intercept Formula: y = mx + b
Step 1: Find slope m
m = (1 - 2)/(-3 - 4)
m = -1/-7
m = 1/7
y = 1/7x + b
Step 2: Find y-intercept b
1 = 1/7(3) + b
1 = 3/7 + b
b = 4/7
Step 3: Write linear equation
y = 1/3x + 4/7
25 points please help me
Answer:
I can help you with C and I tis non-linear because to make it linear it needs to be a straight line and shouldn't have any curves.
Step-by-step explanation:
Solve: 6 - x=-12 )
A) -18
B) C 0
D) 18
Answer:
D) 18
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable
Answer:
[tex]6 - x = - 12 \\ constants \: nearer \\ 6 + 12 = x \\ x = 18 \\ thank \: you[/tex]
Solve for x: 2(3x + 4) - 3(x - 1) = x - 1
Answer:
x=-113
Step-by-step explanation:
2(3x+4)−3(x−1)=x−1x
Step 1: Simplify both sides of the equation.
2(3x+4)−3(x−1)=x−1x
(2)(3x)+(2)(4)+(−3)(x)+(−3)(−1)=x+−1x(Distribute)
6x+8+−3x+3=x+−x
(6x+−3x)+(8+3)=(x+−x)(Combine Like Terms)
3x+11=0
3x+11=0
Step 2: Subtract 11 from both sides.
3x+11−11=0−11
3x=−11
Step 3: Divide both sides by 3.
3x3=−113
x=−113
Answer:
x=−113
Find the area of a sector with a central angle of 120° and a diameter of 7.3 cm. Round to the nearest tenth.
Answer:[tex]14cm^{2}[/tex]
Step-by-step explanation:
diameter=7.3cm
radius=[tex]\frac{diameter}{2}[/tex]
=[tex]\frac{7.3}{2}[/tex]
=3.65cm
angle =120°
area=[tex]\frac{angle (tita)}{360}[/tex] × [tex]\frac{\pi r^{2} }{1}[/tex]
=[tex]\frac{120}{360}[/tex] × [tex]\frac{22}{7}[/tex] ×[tex]3.65^{2}[/tex]
=[tex]13.95cm^{2}[/tex]
≅[tex]14cm^{2}[/tex]
Use the function below to find F(-4).
F(x) = 2^x
Answer:
Step-by-step explanation:
F(x)=2^x
[tex]F(-2)=2^{-2} =\frac{1}{2^2} =\frac{1}{4}[/tex]
Find the square root of 2601 by prime factorization (USE MULTIPLICATION METHOD TO SOLVE THE ABOVE QUESTION)
2601|3
867|3
289|17
17|17
1
[tex]\sqrt{2601}=\sqrt{3^2\cdot17^2}=3\cdot17=51[/tex]
Please help me this question
Answer:
∠ BNM = 150°
Step-by-step explanation:
Project MN to meet AB at point P, then
Δ ANP is a right triangle with sum of angles = 180°, thus
x = 180° - (90 + 30)° = 180° - 120° = 60°
∠ BNM = x + 90 = 60 + 90 = 150°
Simplify the expression 4x-8-2-9x
Answer:
Step-by-step explanation:
4
Answer:
-5x-10
Step-by-step explanation:
first rearrange the expression:
4x-9x-8-2
next combine like terms
-5x-10
thats your answer! hope this helps! :)
10201 soldiers have queued up for an attack such that the number of queues is equal to number of the soldiers in each queue. Find number of soldiers in queue.
Answer:
101
Step-by-step explanation:
Given the following :
Number of soldiers = 10201
They are queued such that the number of queues = number of soldiers in each queue
Let number of queues = q
Therefore, if number of queues equals number of soldiers per Q,
Then ;
q × q = 10201
q^2 = 10201
Take the square root of both sides
q = √10201
q = 101
Number of soldiers per queues = 101
which ordered pair isa solution of the equation y=8x+3 A.Only (1,11) B.Only (-1,-5) C.Only (1,11) and (-1,-5) D Neither
Answer:
C (1,11) and (-1,-5)
Step-by-step explanation:
which of the following is the product of the rational expressions still here?
Answer:
B
Step-by-step explanation:
(x/(x-2))*(3/(x-2))=3x/(x-2)^2=3x/(x^2-4x+4)
The pair of figures is similar. Find x. Round to the nearest tenth if necessary.
Answer:
x ≈ 4.125 ft
Step-by-step explanation:
Since the figures are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{11}{x}[/tex] = [tex]\frac{8}{3}[/tex] ( cross- multiply )
8x = 33 ( divide both sides by 8 )
x = 4.125 ft
Find the measure of KM¯¯¯¯¯¯¯¯¯¯.
Answer:
12
Step-by-step explanation:
(whole secant) x (external part) = (whole secant) x (external part)
( 7+x+2) * 7 = ( 6+8) * 6
Combine like terms
(9+x) *7 = 14*6
Distribute
63 +7x = 84
Subtract 63
63 +7x -63 = 84-63
7x =21
Divide by 7
7x/7 = 21/7
x = 3
KM = x+2+7
= 3+2+7
=12
Answer:
[tex]\huge\boxed{KM = 11}[/tex]
Step-by-step explanation:
According to secant - secant theorem:
(MK)(ML) = (MR)(MN)
Where
MK = 7 + x+ 2 = x + 9
ML = 7
MR = 8 + 6 = 14
MN = 6
=> (x+9)(7)= (14)(6)
=> 7x + 63 = 84
Subtracting both sides by 63
=> 7x = 84 - 63
=> 7x = 21
Dividing both sides by 7
=> x = 3
Now,
KM = x + 9
KM = 3 + 9
KM = 11
What is the value of the expression below when x = 5 and y = 2?
X + 6y
The value of the expression x + 6y when x = 5 and y = 2 is 17.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
x + 6y
When x = 5 and y = 2
= x + 6y
= 5 + 6 x 2
= 5 + 12
= 17
Thus,
The value is 17.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ2
An average woman walks at a speed
of 255 feet per minute. At this rate,
how far would Mrs.
ft
Hill walk in an hour?
Answer:
15,300 ft or 2.9 miles
Step-by-step explanation:
Distance = Rate * Time (but rate and time must be in the same units)
convert hours to minutes
1 hr * 60 min/hr = 60 min
then
D = 255 ft/min * 60 min
D = 15,300 ft
if you want miles, convert ft to miles (5280 ft per mile)
15,300 ft * 1 mi/5280 ft
2.9 mi
If x = -28 and y = -51, what is -(x + y) + (x - y)?
Answer:
102
Step-by-step explanation:
-(x + y) + (x - y) = ⇒ opening parenthesis-x - y + x - y = ⇒ simplifying, x gets cancelled-2y = ⇒ replacing y with -51-2* (-51) =102 ⇒ answerx-1/(x+1)(x-5)
In 10 words or fewer, tell what value of x will make the above rational
expression equal to zero.
Answer:
x=1
Step-by-step explanation:
x-1/(x+1)(x-5)
When the numerator is equal to zero and the denominator is not equal to zero
x-1= 0
x=1
Change 300mm into cm
Answer:
30 cm
Step-by-step explanation:
divide by 10
Answer:
300mm —> 30 cm
1mm= 0.1cm
I hope I helped you^_^
James defines an angle as "a figure consisting of two rays." His statement is not precise enough because he should specify that
the rays must be collinear
the rays must form a right angle
the rays must have a common endpoint
the rays must continue in one direction forever
Statement: If two noncollinear rays join at a common endpoint, then an angle is created. Which geometry term does the statement represent?
Defined term
Postulate
Theorem
Undefined term
James should define that the rays must be collinear. the two rays coming from the same point will form collinear rays which will form an angle at end point.
The statement of james should be precise in order to clearly explain the angle formation.
The two non collinear rays will form an angle at end point where they meet with each other.
The defined vertex will form the appropriate angle. there should be defined term for the non collinear rays.
Learn more at https://brainly.com/question/24373158
1: The rays must have a common endpoint
2: Defined term
I took the test and got both right :))
solve the following: - 3 raised to 1 by 5 the whole raised to 4 (3^1/5)^4
Answer:
8.30256
Step-by-step explanation:
Step 1: Write out expression
[tex]((-3)^{\frac{1}{5} })^{4(3^{\frac{1}{5} })^4[/tex]
Step 2: Use BPEMDAS to evaluate
[tex](-1.24573)^{4(3^{\frac{1}{5} })^4[/tex]
[tex](-1.24573)^{4(1.24573)^4[/tex]
[tex](-1.24573)^{4(2.40822)[/tex]
[tex](-1.24573)^{9.6329}[/tex]
= 8.30256
And we have our answer!
Will Give Brainliest, answer ASAP x=
y=
Answer:
x = 21.25 , y = 5
Step-by-step explanation:
In a parallelogram
Consecutive angles are supplementary
Opposite angles are congruent, thus
125 + 4x - 30 = 180
4x + 95 = 180 ( subtract 95 from both sides )
4x = 85 ( divide both sides by 4 )
x = 21.25
8y² = 125 ( divide both sides by 5 )
y² = 25 ( take the square root of both sides )
y = [tex]\sqrt{25}[/tex] = 5
A factory costs $280,000. You forecast that it will produce cash inflows of $80,000 in year 1, $140,000 in year 2, and $220,000 in year 3. The discount rate is 12%. What is the value of the factory?
Answer:
=$339,627.36
Step-by-step explanation:
PV = FV/(1+R)^n
where
PV = Present Value
FV = Future Value
R = Rate
n = number of periods
PV
Year 1=$80,000
Year 2=$140,000
Year 3=$220,000
r=12%=0.12
Year 1:
PV=80,000 / (1+0.12)^1
=80,000 / 1.12
=$71,428.57
Year 2:
PV=140,000 / (1+0.12)^2
=140,000 / (1.12)^2
=140,000 / 1.2544
=$111,607.14
Year 3:
PV=220,000 / (1+0.12)^3
=220,000 / (1.12)^3
=220,000 / 1.404928
=$156,591.65
Value of the factory= 71,428.57 + 111,607.14 + 156,591.65
=$339,627.36
Please help!!!!!!!!!!!!!!!!
Answer:
TRUE
Step-by-step explanation:
The answer is TRUE.