Using the Euler's formula, the number of segments in the pentagonal prism is: 15.
What is the Euler's Formula?The Euler's formula is given as, F + V = E + 2, where:
F = number of faces (number of regions)V = verticesE = number of edges (number of segments).Given that the pentagonal prism has the following dimensions:
F = 7V = 10E = number of segments = ?Plug in the values into the Euler's formula, F + V = E + 2:
7 + 10 = E + 2
17 - 2 = E
E = 15
Therefore, using the Euler's formula, the number of segments in the pentagonal prism is: 15.
Learn more about the Euler's formula on:
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What type of triangle is defined by the following set of side lengths
11, 9 , 7
Question 4 options:
Acute
Obtuse
Right
Not a triangle
Answer:
it looks like a triangle but it is not it is called a Nonigon
NEED HELP ASAP
In 1997, a restaurant chain had a profit of $45,000. In 2005, the company had a profit of $2,605,000.
Find the average rate of change of the chain's profit in dollars per year.
Which is an equation of the line that passes through the points (5, 2) and (10, -3)? HELP
Answer:
y = − x + 7
Step-by-step explanation:
let D be the line that passes through the points (5, 2) and (10, -3)
Then D has an equation of the form D: y = mx + p
Now we need to find m and p in order to be able to write the equation of the line D:
[tex]m = \frac{2-(-3)}{5-10} = \frac{5}{-5} = -1[/tex]
Since the point (5 , 2) lies on the line D then :
2 = -1 × (5) + p
then
2 = -5 + p
then
p = 2 + 5
= 7
then
p = 7
Conclusion:
Since m = -1 and p = 7
then
[tex]D : y = -x + 7[/tex]
This is technically geography! But pls help! it's due soon! I'm offering 50 points!!
Answer:
(26 points for an answer... but anywho...)
Step-by-step explanation:
Hot air balloon: (20E, 10N)
Plane: (20E, 20S)
Whale: (10E, 20N)
Ship: (20W ,10S)
Bridge: (10W ,20S)
Truck: (15W, 20N)
I hoope this helps :)
Answer:
i wrote each one in explanation although you may need to add your WNSE labels. hope this helps.
Step-by-step explanation:
Hot air balloon (20,10)
Plane (20,20)
whale(10,20)
ship (20,10)
bridge (10,20)
truck(15,20)
A normal distribution has a mean of 97 in the standard deviation of 12 find the probability that a value selected at random is in the following interval: at least 85
Answer:
the answer is not you or anything is not
The following are the temperatures in °C for the first 10 days in January:
-0.1, 3.5, 6.4, 3.8. 4.7, 76, 4.7, 8.1, -1.8, -8
Calculate the range.
Give your answer as a decimal.
Answer:
84.0
Step-by-step explanation:
Range: Highest value - lowest value
Highest value: 76
Lowest value: -8
= 76 - (-8)
= 84
= 84.0
Solve for x and round to near tenth
Answer:
Step-by-step explanation:
[tex]\sf Cos \ x = \dfrac{adjacent \ side}{hypotenuse}\\\\\\cos \ x =\dfrac{4}{9}\\\\\\Cos \ x = 0.44\\\\x = Cos^{-1} \ (0.44)\\[/tex]
x = 63.9°
0.063 = 0.9 X _____
Pls answer I need ASAP
Step-by-step explanation:
[tex] \frac{0.063}{0.9} = x \\ x = \frac{0.021}{0.3} \\ x = \frac{21}{300} \\ x = \frac{7}{100} \\ x = 0.07[/tex]
how to i put [tex]y^{2} +20x+8y+156=0[/tex] into standard form
Answer:
y=−4+2√5(−x−7)
y=−4−2√5(−x−7)
In one week, a music store sold 9 guitars for a total of $3611. Electric guitars sold for $479
each and acoustic guitars sold for $339 each. Write and solve a system of equations to
determine how many of each type of guitar was sold.
Answer:
4 electric guitars and and 5 acoustic guitars were sold.
Step-by-step explanation:
Electric guitars: [tex]x[/tex]
Acoustic guitars: [tex]y[/tex]
[tex]y + x = 9\\y(339) + x(479) = 3611\\[/tex]
--------------------------------
[tex]y + x = 9\\339y + 479x = 3611[/tex]
--------------------------------
[tex](y + x = 9)339\\(339y + 479x = 3611)1[/tex]
--------------------------------
[tex]339y + 339x = 3051\\339y + 479x = 3611[/tex]
--------------------------------
[tex]-140x = -560\\x = \frac{-560}{-140} \\x = 4[/tex]
Choose any of the two equations in the first step and substitute 4 for [tex]x[/tex].
[tex]y + 4 = 9\\y = 9 - 4\\y = 5[/tex]
Therefore, there are 4 electric guitars and and 5 acoustic guitars were sold.
Note: In the elimination method of simultaneous equations, (+) + (+) = (-); (+) + (-) = (+) and (-) + (+) = (+) the signs addition or subtraction.
Marisols bedroom has an area of 29. 76 square meters. the length of the room is 6. 2 meters. what’s is the width
Answer:
4.8 m
Step-by-step explanation:
The area of a rectangle is the product of length and width. This relation can be used to find any of the dimensions when the other two are known.
__
Here, we know area and length, so we can find width.
A = LW
W = A/L = (29.76 m²)/(6.2 m) = 4.8 m
Mariosol's bedroom is 4.8 meters wide.
This table shows values that represent an exponential function.
(See picture)
What is the average rate of change for this function for the interval from x = 1 to x = 3?
A. 3
B. 1/3
C. 6
D. 1/6
Answer:
3
Step-by-step explanation:
When you go from x=1 to x=3 you go up twice on the x-value. The y value also increases by 6 which means all you have to do is find the average.
6/2= 3
3 is the average increase between x=1 and x=3
Hope this helps!
what is the value of 25.761-17.49
Answer - 25.761-17.49=?
Then,
the answer is 8.271
Evaluate (8+t)^3 - 6 minutes when T=2
Answer:
994
Step-by-step explanation:
Answer:
994
Step-by-step explanation:
Given the expression
[tex](8+t)^{3}-6[/tex]
Also given
[tex]t=2[/tex]
We can substitute 2 for t.
[tex](8+2)^{3}-6[/tex]
Do the parenthesis first.
[tex]8+2=10[/tex]
Therefore
[tex]10^{3}-6[/tex]
Evaluate [tex]10^{3}[/tex]
[tex]10^{3}=1000[/tex]
[tex]1000-6=994[/tex]
Write an equation for the line in slope intercept form
Answer:
[tex]y=-\frac{3}{4}x+4[/tex]
Step-by-step explanation:
Slope-intercept form: y = mx + b
Slope (m): [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Use two points on the line to find the slope (m)
(4, 1) and (-4, 7)
[tex]m=\frac{7-1}{-4-4} \\\\m=\frac{6}{-8}\\\\m=-\frac{6\div2}{-8\div2}\\\\m=-\frac{3}{4}[/tex]
y = mx + b
[tex]y=-\frac{3}{4}x+b[/tex]
Now we find b, using either (4, 1) or (-4, 7)
(4, 1)
[tex]y=-\frac{3}{4}x+b\\\\1=-\frac{3}{4}(4)+b\\\\1=-3+b\\+3 +3\\\\4=b[/tex]
[tex]y=-\frac{3}{4}x+b== > y=-\frac{3}{4}x+4[/tex]
Check your answer using either of the points:
[tex](4,1)\\y=-\frac{3}{4}x+4\\\\1=-\frac{3}{4}(4)+4\\\\1=-3+4\\\\1=1[/tex]
This statement is true
Therefore, our final answer is [tex]y=-\frac{3}{4}x+4[/tex]
Hope this helps!
Yo I need to bring up my math grade bad so
4x-5y>20
(please show it graphed already, and step by step, NO LINKS
Answer:
Graphed verison:
See screenshot below! :^)
Solution version:
[tex]x > \frac{5}{4}y+5[/tex]
Step-by-step explanation:
For graphed verison:
See screenshot below.
For solution version:
[tex]4x-5y > 20[/tex]
Step 1: Add 5y on each side:
[tex]4x-5y+5y > 20+5y[/tex]
[tex]= 4x > 5y+20[/tex]
Step 2: Divide both sides by 4:
[tex]\frac{4x}{4} > \frac{5y+20}{4}[/tex]
[tex]= x > \frac{5}{4}y + 5[/tex]
Therefore, your answer is [tex]x > \frac{5}{4}y + 5.[/tex]
Hope this helped! :^)
⭐Brainliest will be appreciated!⭐
✉️Message me if you have any more questions!✉️
- ✨7272033Alt✨
Submitted on 4/15/2022 at 10:43 PM
(To avoid plagarism, by users whom decide to copy.)
Akeelah makes lanyards for her friends. She uses 12 feet of cord to make a
total of 6 lanyards. Which expresses the unit rate for the length of cord
needed to make one lanyard?
Answer:
2 feet of cord
Step-by-step explanation:
Hey there!
In order to find out what the length of cord needed to make one lanyard, we need to take into consideration how much cord she needed to make for 6 lanyards
It says that she used 12 feet of cord to make 6 lanyards meaning that for one lanyard, she used 2 feet feet of cord to make one lanyard
To find that out, all you need to do is divide the two numbers together to find out how much cord was needed to make one lanyard
So Akeelah needs 2 feet of cord to make one lanyard
a kite is a square with sides that are 18 feet long. What is the length of the vertical stripe?
25.46 ft
Solution↷To find the vertical stripe of the kite,we'll use this formula
√2awhere,
a ⇢ length of the side of the given kiteInserting the value of 'a' ( 18ft) in the formula,
we get,
length of the vertical stripe =√2a⇢√2 x 18ftlength of the vertical stripe ⇢25.46 fthence , the length of the vertical stripe of the given square kite = 25.46 ft
Answer:
C. 648 in.
Step-by-step explanation:
Denali is the highest mountain
in the United States. What is its height in meters?
Round to the nearest whole number.
Answer:
6,000 meters.
Step-by-step explanation:
Denali is 6,190 meters so round it off to 6000.
Answer: 6,200
Step-by-step explanat
Denail 6,190 and if it is 50 up then you round up and if it if 50 down then you round down. In this case it is higher than 50 cause it is 6,190 so you round up.
Therefore, the answer should be 6,200
They are 1,236 oysters in a tub. If Lee gives Chris half of her oysters how many will remain in the tub?
Answer:
618
Step-by-step explanation:
half means you divide by 2.
so 1,236/2=618
hope this helps
Answer:
618 oysters
Step-by-step explanation:
Given :
1,236 oysters in a tubGives Chris half of her oystersSolving :
half refers to dividing the number of oysters by 2 or multiplying by 1/2⇒ 1,236 / 2⇒ 618 oysters remain
A French professor gives Sections 1 and 2 of a French course the same passage to translate. Section 1 has 28 students, and 5
translate the passage correctly. Section 2 has 22 students, and 8 translate the passage correctly. (See Example 3.)
(a) If one of the papers is selected at random, what is the probability that it is a correct translation? (Round your answers
to three decimal places.)
(b) One of the papers is selected and is known to be from Section 1. What is the probability that it is a correct translation?
(Round your answers to three decimal places.)
(c) A paper is selected and is known to be a correct translation. What is the probability that it is from Section 2? (Round
your answers to three decimal places.)
Using it's concept, it is found that the probabilities are given by:
a) 0.26 = 26%.
b) 0.179 = 17.9%.
c) 0.615 = 61.5%.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
Item a:
8 + 5 = 13 correct translations out of 28 + 22 = 50 students, hence:
p = 13/50 = 0.26 = 26%.
Item b:
5 correct translations out of 28, hence:
p = 5/28 = 0.179 = 17.9%.
Item c:
There are 13 correct translations, and of those, 8 are from section 2, hence:
p = 8/13 = 0.615 = 61.5%.
More can be learned about probabilities at https://brainly.com/question/14398287
CAN SOMEONE HELP ME PLEASE ASAP!?
Answer:
3:10
Step-by-step explanation:
3:10 is the ratio form of 3/10
Which function matches the graph?
A 2-dimensional graph with an x-axis and a y-axis is given. A parabolic curve is drawn whose axis of symmetry is parallel to y-axis and its vertex is at (1,-3); is passing through co-ordinates (3,1) and (-1,1).
A. f(x) = (x – 3)2 – 3
B. f(x) = (x + 1)2 – 6
C. f(x) = (x + 2)2 – 5
D. f(x) = (x – 1)2 – 3
vertex : (1,-3)
coordinates : (3,1) and (-1,1)
parabola formula : y = a(x -h)² + k
(x, y) - from the coordinates(h, k) - from the vertexso given,
h = 1
k = -3
x = 3
y = 1
solve for a:
1 = a(3 -1)² + (-3)1 = 4(a) - 34(a) = 4a = 1Therefore equation:
y = (x -1)² - 3
check the graph for confirmation:
Answer: Graph the parabola y=x2−7x+2 .
Compare the equation with y=ax2+bx+c to find the values of a , b , and c .
Here, a=1,b=−7 and c=2 .
Use the values of the coefficients to write the equation of axis of symmetry .
The graph of a quadratic equation in the form y=ax2+bx+c has as its axis of symmetry the line x=−b2a . So, the equation of the axis of symmetry of the given parabola is x=−(−7)2(1) or x=72 .
Substitute x=72 in the equation to find the y -coordinate of the vertex.
y=(72)2−7(72)+2 =494−492+2 =49 − 98 + 84 =−414
Therefore, the coordinates of the vertex are (72,−414) .
Now, substitute a few more x -values in the equation to get the corresponding y -values.
x y=x2−7x+2
0 2
1 −4
2 −8
3 −10
5 −8
7 2
Plot the points and join them to get the parabola
in short terms D.
3(−2−3x)=−9x−4 how many solutions
Answer:
there are no solutions
Can someone help me on this question
Answer:
D
Step-by-step explanation:
as shown, the angles are equal. You can assume that x also follows that rule.
Which of the following describes the domain of y= tan x, where n is any
integer?
O A. x≠npi
O B. x≠pi/2+npi
O C. x≠npi/2
O D. X≠27npi
Answer:
A. x≠npi is right B. x≠pi/2+npi,C. x≠npi/2,D. X≠27npi are wrong
Answer:
B. pi/2 + npi
Step-by-step explanation:
trust me brother
Need Help!
Sarah's bill for a meal at a Sonic is $8.99 before tax. If the tax rate is 6.2%, what is the total cost of her meal?
$9.06
$9.55
$9.60
$9.61
Answer: $9.55.
Step-by-step explanation: So far, Sarah's meal is $8.99 and her tax rate is 6.2%. So 6.2% of $8.99 is 0.55738. We have to add 0.55738 with 8.99 to find the total cost of her meal:
8.99 + 0.55738 = 9.54738, or $9.55.
Therefore, Sarah's bill has a total of $9.55 with the tax.
Hope this helps! :)
Tom has 5 green cubes for every 3 yellow cubes. He has 16 cubes in total. Draw a diagram to represent please help me
10 green cubes and 6 yellow cubes
hope it helps...!!!
100 POINTS FOR THE CORRECT ANSWER!!
Answer:
14,11,8
Step-by-step explanation:
If f(1)= 17
and f(n)= f(n-1) -3
f(2)= f(2-1)-3
f(2)=f(1)-3
f(2)=17-3
f(2)=14
f(3)=f(3-1)-3
f(3)=f(2)-3
f(3)=14-3
f(3)=11
f4)=f(4-1)-3
f(4)=f(3)-3
f(4)=11-3
f(4)=8
Answer:
14, 11, 8
Step-by-step explanation:
Given recursive formula:
[tex]\begin{cases}f(1)=17\\f(n)=f(n-1)-3\end{cases}[/tex]
A recursive formula for an arithmetic sequence allows you to find the nth term of the sequence f(n) provided you know the value of the previous term in the sequence f(n-1).
Therefore, the next 3 terms in the sequence are:
[tex]\begin{aligned}\implies f(2) & =f(2-1)-3\\& = f(1)-3\\& = 17-3\\& = 14\end{aligned}[/tex]
[tex]\begin{aligned}\implies f(3) & =f(3-1)-3\\& = f(2)-3\\& = 14-3\\& = 11\end{aligned}[/tex]
[tex]\begin{aligned}\implies f(4) & =f(4-1)-3\\& = f(3)-3\\& = 11-3\\& = 8\end{aligned}[/tex]
Please help ASAP. Will give brainliest if correct!
What is 0.15...(repeating decimal) as a fraction in simplest form?
Clearly show your work.
Answer:
0.15 as a fraction in simplest form is 3/20.
Step-by-step explanation:
0.15 is the same thing as 15/100, divide both the numerator and denominator by 5 and your result is 3/20.
Answer:
0.15 as a fraction in simplest form is 3/20.
Step-by-step explanation:
0.15 is the same thing as 15/100, divide both the numerator and denominator by 5 and your result is 3/20.