The dotted lines show how piano wire
is used to slice this cube. What will be
the shape of the cross section?
Answers
Answer:
C. rectangle (not a square)
Step-by-step explanation:
So image that the wire just sliced that piece of the cube right off:
It would give you a triangular prism,
HOWEVER, this is asking for the cross section:
The part of this triangular prism that was actually connected to the cube
and in this case, it would show that the bottom of the cut off part is rectangle.
You can also think of this as: What shape would be left over on the cube?
Cutting this piece off would give you a shape left over that is a rectangle.
Related Questions
Find the simple interest on the loan of $2500 for 2 years at 5%.
$
(Simplify your answer. Round to the nearest cent as needed.)
Answers
Answer:
Step-by-step explanation:
simple interest=prt
p=principle amount
r=rate
t=time
here p=$2500
r=5 %=0.05
t=2 years
simple interest=2500×2×0.05=$250
The simple interest on the loan of $2500 for 2 years at 5% is $250
How to determine the value?The formula for calculating simple interest is expressed as;
I = PRT/100
Such that the parameters of the formula are;
P is the principal amountI is the simple interestR is the interest rateT is the timeNow, substitute the values, we get;
Simple interest = 2500 × 5 × 2/100
Multiply the values
Simple interest =25, 000/100
Simple interest =$250
Learn about simple interest at: https://brainly.com/question/25793394
#SPJ2
If Ryan does a job in 10 hours and with the help of Chelsea they can do it together in 5 hours, how long would it take Chelsea to do it alone?
Answers
It would take her 10 hours. If it is double the time for one person to complete the task versus two, you can guess that the other person takes the same amount of time
Help help help ASAP help
Answers
Answer:
(8, -2)
Step-by-step explanation:
While reflection over x-axis, the x-coordinate remains the same and the y-coordinate changes to it's opposite.
So,
Rx-axis => = (8, -2)
An archer releases an arrow with an initial velocity of 20 feet per second at a height of 12 feet. The path the arrow takes can be modeled using the function f(x)=−16x^2+20x+12, where f(x) represents the height, in feet, of the arrow and x represents the time the arrow travels in seconds. What is the maximum height, in feet, reached by the arrow? Round your answer to the nearest hundredth if necessary. Do not include units in your answer.
Answers
Answer:
18.25 feetStep-by-step explanation:
The given function is quadratic.
The maximum of the quadratic function is its vertex.
The x-coordinate is determined by x = - b/(2a)
x = - 20/(-16*2) = 5/8Apply the x-value and find the value of f:
f(x) = - 16(5/8)² + 20(5/8) + 12 = 18.25 feetAnswer:
18.25
Step-by-step explanation:
we are given a quadratic function
[tex] f(x) = - 16 {x}^{2} + 20x + 12[/tex]
where:
f(x) represents the heightx represents the timeTo find the maximum value of f(x) in other words, the maximum height, in feet, reached by the arrow.
Differentiate both sides:
[tex] f'(x) = \dfrac{d}{dx}( - 16 {x}^{2} + 20x + 12)[/tex]
with sum differentiation rule, we acquire:
[tex] \displaystyle f'(x) = \frac{d}{dx}( - 16 {x}^{2} )+ \frac{d}{dx} 20x + \frac{d}{dx} 12[/tex]
recall that,
differentiation of a constant is equal to 0[tex] \dfrac{d}{dx} {x}^{n} = n {x}^{n - 1} [/tex]utilizing the rules we acquire:
[tex] \displaystyle f'(x) = - 32 {x}^{} + 20 [/tex]
now equate f'(x) to 0:
[tex] \displaystyle - 32 {x}^{} + 20 = 0[/tex]
solving the equation for x yields:
[tex]x _{max}= \dfrac{5}{8} [/tex]
plug in the maximum value of x into the quadratic function:
[tex]f(x )_{max}= - 16 {( \frac{5}{8} )}^{2} + 20( \frac{5}{8} ) + 12[/tex]
simplify:
[tex]f(x )_{max} = 18.25[/tex]
hence,
The maximum height reached by the arrow is 18.25 feet
How can I find the value of X?
Answers
Answer:
D
Step-by-step explanation:
Remark
The first thing you must do is notice that <D = <BEA. Mark it that way on your diagram.
The Second thing you need to notice is that <BEA and <A are equal because <A and <D are marked as equal.
So both the large triangle and the small one are isosceles. because 2 of the 3 angles are equal.
Now are you ready for this? That means that BA = 10 because BA is opposite one of the 2 equal angles in the small triangle. So now you are ready to set up a proportion.
Proportion
AB / AC = AE/AD
Givens
AB = 10
AC = 18
AE = 8
AD = x + 8
Solution
Substitute the Givens into the Proportion.
10/18 = 8/(x + 8) Cross multiply
10(x + 8) = 8 * 18 Simplify both sides
10x + 80 = 144 Subtract 80 from both sides
10x + 80 - 80 = 144 - 80
10x = 64 Divide by 10
10x/10 = 64/10
Answer: x = 6.4
how many terms of the geometric progression 6,12,24,......must be taken to get a sum of 49146
Answers
Answer:
13
Step-by-step explanation:
the sum to n terms of a geometric sequence is
[tex]S_{n}[/tex] = [tex]\frac{a(r^{n}-1) }{r-1}[/tex]
where a is the first term and r the common ratio
here a = 6 , r = [tex]\frac{12}{6}[/tex] = 2 and [tex]S_{n}[/tex] = 49146 , then
[tex]\frac{6(2^{n}-1) }{2-1}[/tex] = 49146
6([tex]2^{n}[/tex] - 1) = 49146 ( divide both sides by 6 )
[tex]2^{n}[/tex] - 1 = 8191 ( add 1 to both sides )
[tex]2^{n}[/tex] = 8192 ( take log of both sides )
log [tex]2^{n}[/tex] = log 8192 , that is
n log 2 = log 8192 ( divide both sides by log 2 )
n = [tex]\frac{log8192}{log2}[/tex] = 13
[tex]\red{ \underline { \boxed{ \sf{Common \: Ratio,r = \frac{any\:observed\:term}{previous\:term}}}}}[/tex]
[tex]\longrightarrow[/tex][tex]\sf Common \: Ratio,r = \frac{12}{6} [/tex]
[tex]\quad \boxed{\sf {Common \:Ratio,r = 2 }}[/tex]
Now,
[tex]\green{ \underline { \boxed{ \sf{Sum\: of \: G.P. \: to\: n\:term,S_n = \frac{a(r^n-1)}{r-1}}}}}[/tex]
where
a = first termr = common Ration= number of termsPutting Values -
[tex]\begin{gathered}\\\implies\quad \sf 49146 = \frac{6(2^n-1)}{2-1} \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf \frac{\cancel{49146}}{\cancel{6}} = \frac{2^n-1}{1} \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf 8191= \frac{2^n-1}{1} \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf 2^n-1 =8191 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf 2^n =8191+1 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf 2^n =8192 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf 2^n =2^{13}\quad(8192= 2^{13}) \\\end{gathered} [/tex]
Comparing powers on both sides-
[tex]\begin{gathered}\\\implies\quad \boxed{\sf{ n = 13}}\\\end{gathered} [/tex]
[tex]\longrightarrow[/tex]Therefore, to get a sum of 49146 , 13 terms of this G.P. should be taken.
What is the area of this cross section of this rectangular prism? Enter your answer in the box.
Answers
Hello, it seems your figure hasn't uploaded correctly. Are you able to try again?
Lana used the two blocks pictured in the diagram to build a tower. What is the total volume, in cubic inches, of the tower Lana built?
Answers
Answer:
120
Step-by-step explanation: 4x10x2 +2x5x4 =80+40=120 cubic inches
Answer:
Step-by-step explanation:
In circle D with m∠CDE = 118 m∠CDE=118 and CD=4 units, find the length of arc CE. Round to the nearest hundredth.
Answers
Answer:
CE ≈ 8.24 units
Step-by-step explanation:
The circumference of a circle is given by the formula ...
C = 2πr
Your circle has a radius CD of 4 units, so its circumference is ...
C = 2π(4 units) = 8π units
__
The arc of interest is 118°. The whole circle is 360°, so the length of the arc is 118/360 times the circumference of the circle:
CE = (118/360)(8π units) ≈ 8.24 units
find the e measure of the missing angle. round to 2 decimal places
Answers
Answer:
theta= 1.085
Step-by-step explanation:
The sides of a fair number cube are labeled 1, 2, 3, 4, 5, and 6. What is the theoretical probability that the number cube will land with the number 5 facing up?
Answers
Answer:
Probability that the number cube will land with the number 5 facing up
=5/6
Hope this helps, just used my mind
Step-by-step explanation:
Please mark me brainliest if correct
12.44 = 4x what does x =
Answers
4 * x = 12.44
4/4 * x = 12.44 / 4
x = 3.11
Answer:
x = 3.11
Step-by-step explanation:
To find the value of 'x', divide both sides of the equation by 4
12.44 = 4x
[tex]\dfrac{12.44}{4}=\dfrac{4x}{4}\\\\\\3.11=x[/tex]
99 PTS PLS HELP! Data Set 1 has a mean of 152.7 and a MAD of 2.5.
Data Set 2 has a mean of 170.2 and a MAD of 1.7.
What can be concluded about the two distributions?
Select each correct answer.
The means-to-MAD ratio is 10.
The distributions are different.
The distributions are somewhat similar.
The means-to-MAD ratio is 7.
Answers
Answer:
the means to and reroof is 10
the distributions are somewhat similar
Step-by-step explanation:
How could you correctly rewrite the equation 4(10 + 5) = 6 (12 - 2) using the distributive property?
Answers
Answer:
40+20 = 72-12 is the simplified version.
Step-by-step explanation:
Your equations
4(10+5) = 6(12-2)
Multiply 4 by 10 and 5 for the "4(10+5)"
Multiply 6 by 12 and -2 for the "6(12-2)"
40+20 = 72-12 is the simplified version.
If you want to solve/verify:
40+20 = 72-12
60 = 60
The nanswer is correct.
Answer:
40 + 20 = 72 - 12
Step-by-step explanation:
The number outside the parenthesis will be multiplied to both numbers inside the parenthesis, making the equation
(4 * 10) + (4 * 5) = (6 * 12) + (6 * (-2))
simplifying the equation...
40 + 20 = 72 - 12
help me please and thank you
Answers
Answer:
m∠N = 85°
Step-by-step explanation:
Properties of a parallelogram
opposite sides are parallel and equal in lengthopposite angles are equalinterior angles that lie on the same side of the transversal are supplementary - their sum is 180°Therefore,
m∠M + m∠N = 180°
⇒ 95° + m∠N = 180°
⇒ m∠N = 180° - 95°
⇒ m∠N = 85°
--------------------------------------------------------------------------------------
Additional calculations
m∠M = m∠P = 95°
m∠N = m∠L = 85°
MN = LP
ML = NP
Solve for x 5x + 15 = 28
o
ol
43
5
13
5
O 13
043
Answers
Answer:
[tex]\boxed{\sf{x=\dfrac{13}{5}=2.6 }}[/tex]Step-by-step explanation:
To solve for x, you have to isolate it on one side of the equation.
First, subtract by 15 from both sides.
[tex]\sf{5x+15-15=28-15}[/tex]
Solve.
28-15=13
Rewrite the problem down.
5x=13
Divide by 5 from both sides.
[tex]\sf{\dfrac{5x}{5}=\dfrac{13}{5} }[/tex]
Solve.
You can also divide the numbers from left to right.
13/5=2.6
[tex]\boxed{\sf{x=\dfrac{13}{5}=2.6 }}[/tex]
Therefore, the correct answers is x=13/5=2.6.I hope this helps you! Let me know if my answer is wrong or not.
[tex]\rightarrow \sf 5x + 15 = 28[/tex]
[tex]\rightarrow \sf 5x + 15 -15= 28-15[/tex]
[tex]\rightarrow \sf 5x = 13[/tex]
[tex]\rightarrow \sf \dfrac{5x}{5} = \dfrac{13}{5}[/tex]
[tex]\rightarrow \sf x = \dfrac{13}{5}[/tex]
[tex]\rightarrow \sf x = 2\dfrac{3}{5}[/tex]
[tex]\rightarrow \sf x = 2.6[/tex]
Find the surface area of the cone. Use 3.14 for it.
The surface area is about in.2.
look at the picture ⬇️⬇️⬇️
Answers
This value is approximate since pi = 3.14 is approximate.
=======================================================
Work Shown:
r = radius = diameter/2 = 20/2 = 10 inches
L = slant height = 40 inches
SA = surface area of the cone
[tex]\text{SA} = \pi*r^2 + \pi*r*L\\\\\text{SA} = \pi*10^2 + \pi*10*40\\\\\text{SA} = \pi*100 + \pi*400\\\\\text{SA} = 100\pi + 400\pi\\\\\text{SA} = (100+400)\pi\\\\\text{SA} = 500\pi \text{ ... exact surface area in terms of pi}\\\\\text{SA} \approx 500*3.14\\\\\text{SA} \approx 1570\\\\[/tex]
The surface area of the cone is approximately 1570 square inches.
We can abbreviate "square inches" into [tex]\text{in}^2[/tex]
If you want to get a more accurate surface area value, then use more decimal digits of pi.
CAN SOMEBODY HELP ME SOLVE THIS EQUATION
Answers
2. 3
Sorry I don’t have time to answer anything else
What is a2+b2+c2? Thank you for your help.
Answers
Answer:
Pythagoras theorem
Step-by-step explanation:
dhebbd
Test question, are you able to hold yourself from adding an answer?
Answers
The speeds of four racing cars are 146.633 mph, 150 mph, 151.971 mph, and 141.428 mph. Find the average speed of the 4 cars correct to 5 significant digits.
Answers
Answer:
I think the average speed is 160mph or 180mph
Answer: I guess it is 180180mph
Step-by-step explanation:
Find simple interest
Principal=rs 4000
Time :2
rate of interest :10%
Answers
Step-by-step explanation:
please mark me as brainlest
Step-by-step explanation:
Simple Interest is calculated using the following formula: SI = P × R × T/100, where P = Principal , T is time and r is interest rate.
So , by the values given
Principal :-rs 4000
Time :-2
rate of interest :- 10%
[tex] \frac{p \times r \times t}{100} [/tex]
[tex] \frac{4000 \times 10 \times 2}{100} [/tex]
[tex] = 800 \: rs[/tex]
PLEASE HELP WILL GIVE BRAINLIEST
Answers
What is the value of the
expression? 1 7/8 - 6/4
Answers
Rewriting our equation with parts separated
1+7/8−6/4
Solving the fraction parts
7/8 - 6/4?
Find the LCD of 7/8 and 6/4 and rewrite to solve with the equivalent fractions.
LCD = 8
7/8−1 2/8=−58
7
8
−
12
8
=
−
5
8
Combining the whole and fraction parts
1−5/8=3/8
Help picture below problem 12
Answers
Answer:
78°
Step-by-step explanation:
Angles on a straight line = 180°
AD is the straight line
Angle BFA = 48
Angle CFD = 54
54 + 48 = 102
180 - 102 = 78
Therefore, Angle BFC = 78°
How do you put 2hundreds 9tens 18ones in standard form
Answers
Answer:
308
Step-by-step explanation:
200+90+18=200+108=308
three hundred seven
or
307
Step-by-step explanation:
I can't remember which is standard form. But hope it helps.
6 8/10 + 1 7/10 =
please help meee
Answers
Answer:
8.2
Step-by-step explanation:
Hope this helps....
Answer:
The answer is 8 1 / 2
Step-by-step explanation:
See the Image
Option 1 is easier to understand
Does x/x+11 simplify to 1/11? Why or why not ?
Answers
Answer:
No.
Step-by-step explanation:
Because only x / 11x simplifies to 1 / 11
X and 11 are not the same, therefore you cannot simplify them
A store sells a workout outfit that consists of a jacket, a t-shirt, and a pair of shorts. The store purchases the jacket for $34, the t-shirt for $9, and the shorts for $12. The percent of markup is 28%. Find the selling price of the outfit.
PS: include show work please I have to submit this in like 3 hours thankyou
Answers
Answer:
The Outfit costs $70.4.
Step-by-step explanation:
Add the selling price together
34 + 9 + 12 = 55
Multiply by the markup (Profit)
100% = 1
28% = 0.28
55 x 1.28 = 70.4
Ms. Gardner is thinking of a number
The number is even.
It is not divisible by 6
It is not divisible by 7
it is not greater than 81
It is not less than 64
Answers
Answer:
74
Step-by-step explanation: 74 is not divisible by 6 or 9not nor 7 and it's less than 81 and greater than 64