An edge is formed when two faces come together. The number of edges in the given solid is 18.
What is an edge?An edge is formed when two faces come together. A cube, for example, has 12 edges, a cylinder has two, and a spherical has none.
The number of edges in the given solid is 18.
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Find the sum of the interior angle measures of the polygon.
Answer:
360
Step-by-step explanation:
All the angles of a polygon add up to 360, thats kinda just how it is haha
A hiker is lost in the forest, but has his cell phone with a weak signal. Cell phones with GPS can give an approximate location through triangulation, which works by giving distances from two known points. Suppose the hiker is within distance of two cell phone towers that are 22.5 miles apart along a straight highway (running east to west, double-dashed line). Based on the signal delay, it can be determined that the signal from the hiker's phone is 14.2 miles from Tower A and 10.9 miles from Tower B. Assume the hiker is traveling a straight path south reach the highway quickly. How far must the hiker travel to reach the highway
Answer:
The distance the hiker must travel is approximately 5.5 miles
Step-by-step explanation:
The distance between the two cell phone towers = 22.5 miles
The distance between the hiker's phone and Tower A = 14.2 miles
The distance between the hiker's phone and Tower B = 10.9 miles
The direction of the highway along which the towers are located = East to west
The direction in which the hiker is travelling to reach the highway quickly = South
By cosine rule, we have;
a² = b² + c² - 2·b·c·cos(A)
Let 'a', 'b', and 'c', represent the sides of the triangle formed by the imaginary line between the two towers, the hiker's phone and Tower A, and the hiker's hone and tower B respectively, we have;
a = 22.5 miles
b = 14.2 miles
c = 10.9 miles
Therefore, we have;
22.5² = 14.2² + 10.9² - 2 × 14.2 × 10.9 × cos(A)
cos(A) = (22.5² - (14.2² + 10.9²))/( - 2 × 14.2 × 10.9) ≈ -0.6
∠A = arccos(-0.6) ≈ 126.9°
By sine rule, we have;
a/(sin(A)) = b/(sin(B)) = c/(sin(C))
∴ sin(B) = b × sin(A)/a
∴ sin(B) = 14.2×(sin(126.9°))/22.5
∠B = arcsine(14.2×(sin(126.9°))/22.5) ≈ 30.31°
∠C = 180° - (126.9° - 30.31°) = 22.79° See No Evil
The distance the hiker must travel, d = c × sin(B)
∴ d = 10.9 × sin(30.31°) ≈ 5.5
Therefore, the distance the hiker must travel, d ≈ 5.5 miles.
ILL MARK BRAINLIESTTTTT
Answer:
0.075 inches per year
Step-by-step explanation:
The average rate of change is measured as
( difference in diameter ) ÷ ( difference in years )
= ( 251 - 248 ) ÷ ( 2005 - 1965 )
= 3 inches ÷ 40 years
= 0.075 inches per year
Using the information in part A, interpret the meaning of the quotient in terms of the two fractions given
Answer:
hello the information in part A is missing below is the missing information
How many 2/3 foot pieces can Wendy cut from the 5 and 1/3 feet of ribbon? Show your work
answer : 8
Step-by-step explanation:
The quotient in terms of the two fractions
Determine 2/3 foot that can be gotten from 5 1/3
Divide 5 1/3 by 2/3 ( how to get quotient )
= 5 1/3 / 2/3
= (16 / 3 ) / ( 2/3 ) ( meaning of the quotient )
= 8
how can you write a quadratic function in
standard form, given its vertex form?
Find the area of this kite.
3 m
5 m
6 m
5 m
Answer:
450m
Step-by-step explanation:
Margaret's garden is 36 feet long and has a perimeter of feet. She is wanting to plant flowers along the diagonal of the garden. How long in the diagonal of her
Answer: Where is the rest of the question?
Step-by-step explanation:
The temperature is 0 degrees, every hr it's dropping 3 degrees the temperature is -6 degrees at a certain time. How mush did the temperature decrease, how many hrs did it take to be at -6 degrees
Answer:
i think 2
Step-by-step explanation:
If cot θ= tan (pi/6) what is cos θ? Round your answer to the nearest hundredth.
Answer:3.46
Step-by-step explanation:
please help please!!!
I think the anwser is c -2 and 9
An electrician bent a section of copper wire into a partial circle as shown. The dimensions are
given in feet (ft).
2.5 f
880
2.5
ft
What is the length of the section of wire to the nearest hundredth of a foot?
Answer:
Length = 3.84 feets (nearest hundredth)
Step-by-step explanation:
The length of section of wire can be obtyaiejd using the length of of a arc formular :
Length of arc = θ/360° * 2πr
Radius, r = 2.5 feets
Length of arc = (88/360) *2πr
Length of arc = (88/360) * 2π*2.5
Length of arc = 0.244444 * 15.707963
Length of arc = 3.8397
Length = 3.84 feets (nearest hundredth)
Answer:
Step-by-step explanation:
3.84
WILL GET BRAINLIEST The scatterplot shows the weight and miles per gallon of the nation's 40 best-selling cars.
Vehicle Weights and Miles
Per Gallon
Miles Per Gallon
Vehicle Weight
Which statement is most strongly supported by the scatterplot?
The last one as we can see that as the wight increases, the miles per gallon decreases.
PLEASE HELP FAST WILL GIVE BRAINLIEST
Answer:
The answer is 25 degree because there is ( 8x-1)
HELPPPPP
Directions: Find the slope of the lines graphed below.
1.
2.
3.
4.
5.
6.
Directions: Find the slope between the given two points.
7.(-1,-11) and (-6, -7)
8. (-7.-13) and (1, -5)
9. (8.3) and (-5,3)
10. (15, 7) and (3,-2)
11. (-5, -1) and (-5, -10)
12. (-12, 16) and (-4,-2)
Directions: Use slope to determine if lines PQ and RS are parallel, perpendicular, or neither.
13.P(-9,-4), (-7, -1), R(-2,5), S(-6, -1)
m(PO)
m(RS)
Types of Lines
PLEASE HELLPPPP
Answer:
7. -4/5
8. 1
9. 0
10. 3/4
11. undefined/nonlinear
12. -9/4
13. parallel
please please please help
Answer:
I wanna say 16 but im not sure
Step-by-step explanation:
A custom fish tank shaped like a rectangular prism needs to have a length of 21 inches, a width of 16 inches and hold a volume of 6758 cubic inches. What height must the tank be made to meet these specifications?
Answer:
i dont know im not that smart ask someone else dude
Step-by-step explanation:
Which expression is equivalent to 21x + 9 - 3x? A. 9(2x - 1) B. 9(x + 1) C. 9(2x + 1) D. 18(x + 1)
Answer: C
Step-by-step explanation:
21x+9-3x = 18x + 9
If you factor out the 9, you would be left with
9 (2x+1)
Answer: A. 9(2x - 1)
Step-by-step explanation:
combine like terms
21x+9-3x
21x-3x
18x+9
Factor the expression
factor out 9 from the expression
you get 9(2x - 1)
whats 24/3 but not 8?
Answer: well, it =8 and it doesn’t have different answer so that all I have to tell you.
Step-by-step explanation: Hope this help I guess :^ sorry if you don’t want this kind of answer.
Which of the following is equal to the expression listed below?
18 + 12
OA. 6(3+2)
OB. (6 x 3)(6 x 2)
OC. 6+ (3 x 2)
OD. (6 + 3)(6 + 2)
Answer:
OA
Step-by-step explanation:
18+12=30
6×3=18
6×2=12
18+12=30
hope this helps
Answer:
Which of the following is equal to the expression listed below?
18 + 12
OA. 6(3+2)
OB. (6 x 3)(6 x 2)
OC. 6+ (3 x 2)
OD. (6 + 3)(6 + 2)
Step-by-step explanation:
the answer is (B)
81.3 x 47.5 = i am lost............
Answer:
3861.75
Step-by-step explanation:
i hope its the good answer
IF YOU TELL ME HOW YOU GOT THE ANSWER FIRST YOU WILL GET A CROWN
Answer:
C
Step-by-step explanation:
basically see where each dot is and the number its beside and the number its above answer for example the first one is in between 20 and 30 so its 25 and its above 1 so it would 1, 25 u just do that for all the dots :)
Plz help been stuck for a while now
Giving Brainiest (No Links) ~Repost Cause last one no one answered~
(If you don't show work for each I comment "No Show work")
<3
Determine the slope of a line that passes through the following sets of points. Show your work.
(1, 1) and (4, 5)
(2, -1) and (4, 13)
(1, 18) and (-9, -2)
Slope is the change in y over the change in x
1. (1,1) and (4,5)
Slope = (5-1)/(4-1)
Slope = 4/3
2. (2,-1) and (4,13)
Slope = (13 - -1)/ (4-2)
Slope = 14/2
Slope = 7
3. (1,18) and (-9,-2)
Slope = (-2 -18)/(-9 -1)
Slope = -20/-10
Slope = 2
E B A G ord Теа F NOTE: Angles not necessarily drawn to scale.
help
Answer: x = 13
angel bge and angle agf are vertical meaning they’re equivalent
77 + 90 + x = 180 (180 because all of them added together are supplementary)
167 + x = 180
x = 13
Answer:
Step-by-step explanation:
X=13
Suppose you toss a coin and will win $1 if it comes up heads. If it comes up tails, you toss again. This time you will receive $2 if it comes up heads. If it comes up tails, toss again. This time you will receive $4 if it is heads. Continue in this fashion for a total of 10 flips of the coin, after which you receive nothing if it comes up tails. What is the mathematical expectation for this game?
Answer:
5
Step-by-step explanation:
The winnings are in G.P. : 1, 2, 4, ..... till 10 toss.
[tex]$a_n = 1 \times 2^{n-1}\ \ \ \forall \ n = 1,2,3,4,....,10$[/tex]
[tex]$a_n$[/tex] denotes the winnings on the [tex]$n^{th}$[/tex] toss.
The probability of earning amount [tex]$a_n$[/tex] on the [tex]$n^{th}$[/tex] toss is = [tex]$\left(\frac{1}{2}\right)^n$[/tex]
∴ [tex]$E(X) = \sum_{n=1}^{10} \ a_n \times \left(\frac{1}{2}\right)^n $[/tex]
[tex]$=\sum_{n=1}^{10} \ 1 \times \frac{2^{n-1}}{2^n} $[/tex]
[tex]$=\sum_{n=1}^{10} \ \frac{1}{2}$[/tex]
Sum of the 1st n terms of the A.P. is :
[tex]$=\frac{n}{2}[2a+(n-1)d] $[/tex]
[tex]$=\frac{10}{2}[2\times \frac{1}{2}+(10-1)\times 0] $[/tex]
= 5
Therefore, E(X) = 5
Hence the expected value of the game is 5
The point p=(x,1/2)
Lies in the unit circle shown below what is the value of X in simplest
please help easy math!! 8th grade math Storypromblem answer number 9
Answer: Chris's Gym pays $2.75
Step-by-step explanation:
So i was glancing at this question wondering how I was gonna figure it out then flipped it upside down in my head and figred out what I was missing
So basically we know that Tyrell pays $2.00 for court reservations
Chris on the other hand according to the table pays $52.75 for court reservation in addition to his monthly fee. Now we have to find out how much is just the court fee. So if we look at the next box I realized that a second court recomendation costs $55.5 and I realized that to find the court reservation costs I needed to subtract so 55.5-52.755= 2.75 which means Chis has a monthly costs of 50 and pays $2.75 for a court holding
13. The total cost of 3 equally-priced baseball caps is $48. How
much does a customer save by using a 15%-off coupon to buy
4 baseball caps?
A $21.60
B $9.60
C $7.20
D $2.40
Mr. D. decided to invest $2,500 into a share of his friend's company because his
friend guaranteed that his money would increase at a rate of 14% every month.
How much money should Mr. D have after 7 months?
What is the volume of this sphere?
Use ≈ 3.14 and round your answer to the nearest hundredth.
8 yd
cubic yards