An ironwoman race involves 3 swim legs and a beach run back to the start as shown in the figure.
What is the total distance covered in the race?
Answers
Answer:
593 m
Step-by-step explanation:
Total distance covered = perimeter of the trapezoid
= 100 + 75 + 250 + the length of the slant side (2nd swim)
Apply Pythagorean theorem to find the slant side (hypotenuse) since it forms a right triangle if we consider the distance between the parallel bases of the trapezoid.
Thus, let "x" represent the side length we are looking for.
Applying Pythagorean theorem, we have:
x² = 75² + (250 - 100)²
x² = 75² + 150²
x² = 28,125
x = √28,125
x = 167.705098 ≈ 168 m
✔️Total distance covered = 100 + 75 + 250 + 168 = 593 m
Related Questions
helppppppppppppppppppppppppppppp
Answers
Answer:
12000 cubic meters
Step-by-step explanation:
v=(1/3)(900)(40)
What is the m_ACB?
O 10°
B.
0 50°
(4x)
O 90°
O 180°
(7x-20)
С
Answers
Answer:
180
Step-by-step explanation:
90 + 4x + 7x - 20 equals to 180
Answer:
B. 50
Step-by-step explanation:
Which exponential expression is equivalent to the one below?
Answers
reduce 286/858 to simplest terms
Answers
Solve the proportion.
X/8=4/5
Can someone help me with this ASAP please I’m being timed
Answers
Answer:
x=32/5
Step-by-step explanation:
x/8=4/5
x=(4/5)×8
x=32/5
Times 8 both sides
x = 32/5
x = 6 2/5
A bag contains red and blue marbles, such that the probability of drawing a blue marble is 3/8. An experiment consists of drawing a marble, replacing it, and drawing another marble. The two draws are independent. A random variable assigns the number of blue marbles to each outcome. Complete the probability distribution table on your own paper. Answer the question in the text box below. / What is the probability of drawing exactly one blue marble? Write a simplified fraction.
Answers
Answer:
The probability of drawing exactly one blue marble is 15 over 32
Step-by-step explanation:
did test
HELP! THIS IS DUE TODAY, and i will mark brainlest!
Answers
Answer:
Option 3
Step-by-step explanation:
y=3+x is a straight line that runs through y=3 and x=-3
So your 3rd option here is the one.
Answer:
I think it's the third option
Ms Hart had 40 dollars to spend on costume boxes for the musical. If she bought 12 boxes and received 4 dollars in change, how much was each box?
Answers
Answer:each box cost =$3
Step-by-step explanation:
Amount of money Ms Hart has to spent on costume boxes=$40
Amount gotten as change after purchase=$4
Amount actually used up buying costume boxes =$40-$4=36
Since she bought 12 boxes , each box cost =$36/ 12=$3
PLEASE HELP ME WITH THIS BOTH A.S.A.P I WELL GIVE 20 POINTS AND A BRAINLIST FOR THE BEST EXPLANATION
Answers
Answer: yes they are
Step-by-step explanation: the way you know is because the angles on each shape are the same and the lines on the shapes are the same length. If one shape is bigger than another or if one has a different shape than the other, they are not congruent. I hope that helped you!
There 10 race. Medals are awarded for , 2nd and 3rd place. how many different ways can the medals be awarded?
Answers
Answer:
20 ways
Step-by-step explanation:
Because You can get a 2nd place and 3rd place medal so thats 2 ways but there are 10 races so times 10 is 20 :)))))
What is the sum of the interior angles in this shape?
Answers
Answer:
720° :)
Step-by-step explanation:
You can find the total interior angle for any shape using the following (n being the number of sides):
S = ( n - 2 ) × 180 °
S = (6-2) * 180
S = 720
Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answers
Answer:
No it's not compulsory.
Step-by-step explanation:
If the ratio of sides are given then that can also help you find angle. Not only that if the relationship between the perpendicular and base are given then you can find angle
E.g.
if the ratios of the sides is 5:4:3 then you can find the angle
Are the following solutions correct ? Why or why not
Answers
Answer:
[tex]\theta = 0, \frac{\pi}{2}, \pi,...[/tex]
Step-by-step explanation:
[tex]sin\theta + cos \theta = 1 \\\\squaring both the sides\\\\sin^{2}\theta + cos^{2}\theta+2 sin\theta cos\theta = 1 \\\\2sin\theta cos\theta = 0 \\\\sin2\theta = 0\\\\2\theta = 0, \pi, 2 \pi,....\\\\\theta = 0, \frac{\pi}{2}, \pi,...[/tex]
This is the correct solution.
Jeff sells popcorn for $3 per bag. To make a profit each day, he needs to sell at least $120 worth of popcorn. He has sold $36 worth of popcorn today. Which inequality can be used to find the number of bags of popcorn, p, Jeff still needs to sell today to make a profit?
A- 3p - 36_>120
B- 3(p+36) _>120
C- 3p - 12_>120
D- 3p + 36 _> 120
PLEASE ANSWER QUICKLY! 10 POINTS!!!
Answers
Answer: he needs to sell 28 more bags to sell 120 dollars of popcorn
Step-by-step explanation: I need one more brainliest for the next rank I’d appreciate it
Convert the rational number below to a decimal. Round to the nearest hundredth when
necessary
7/9
Please I’ll mark Brainliest
Answers
Answer:
0.63 is your answer.
Step-by-step explanation:
7/9
= 0.63
Find the missing side of each triangle. Round your answers to the nearest tenth if necessary
Please explain a step by step
Answers
Answer:
2.8km
Step-by-step explanation:
a = sqrt(c^2-b^2)
a = sqrt(9.9^2 - 9.5^2)
a = sqrt(7.76)
a = 2.78567765544
Round that to 2.8 and there's your answer
A rectangular prism is 12 cm long, 6 cm wide and 5 cm high. What is the volume of the rectangular prism?
Answers
Answer:
360cm
Step-by-step explanation:
Volume=mass
volume
Which of the following points is a solution for this system of equations:
y = –2x – 11
y = x² – 2x – 36
A. (0,-36)
B. (-3,-5)
C. (0,-11)
D. (5,-21)
Answers
Answer:
D
Step-by-step explanation:
There you go mate, just writing this to be 20 words long so I can answer it
please show your work
Answers
Answer:
B) 40
Step-by-step explanation:
Angle X and the missing angle inside the triangle are equal as the are opposite angles.
Therefore,
180 - 65 - 75 = 40
I really need help no files or links brainly removes it
Finding a final amount in a word problem on exponential growth or decay
An amount of $41,000 is borrowed for 9 years at 6.25% interest, compounded annually. If the loan is paid in full at the end of that period, how much must be paid back?
Use the calculator provided and round your answer to the nearest dollar
Answers
Answer:
A = $70753
Step-by-step explanation:
[tex]A = P(1 + \frac{r}{n})^{nt}[/tex]
P = $41000
r = 6.25% = 0.0625
n = 1
t = 9
[tex]A = 41000(1 + 0.0625)^9 = 70752.91[/tex]
[tex]A = \$70753[/tex]
Tom can paint a fence in 6 hours. Huck can paint a fence in 5 hours. If Tom takes a 30 minute break, how long will it take them to paint the fence together?
Answers
Answer:
4 1/11 hours
Step-by-step explanation:
Tom can paint 1/6 of the fence in an hour
Huck can paint 1/5 of the fence in an hour
Tom takes a half-hour break; we can create this equation:
1/6x - 1/2 + 1/5x = 1
use a denominator of 30:
5x/30 - 15/30 + 6x/30 = 30/30
11x/30 = 45/30
multiply each side by 30/11 to get:
x = 45/11 or 4 1/11
Marshall is comparing different companies that rent sound systems The total cost, y , for each company includes a used rental fee plus an additional fee based on the number of hours, x , the sound system is rented. Which company had the lowest additional fee per hour for renting a sound system?
Answers
Answer:
Company B
Step-by-step explanation:
Given
See attachment for graph
Required
Company with the least additional fee
This means the y-intercept and it represents the flat fee
To get the y-intercept, we simply write out the point where [tex]x= 0[/tex]
From the graph of A, we have:
[tex](x,y) = (0,70)[/tex]
Additional Charges = 70
From the table of B, we have:
[tex](x,y) = (0,50)[/tex]
Additional Charges = 50
From the equation of C, we have:
[tex]y=10x+ 90[/tex]
[tex]y(0) = 10 * 0 + 90[/tex]
[tex]y(0) =0 + 90[/tex]
[tex]y(0) =90[/tex]
Additional Charges = 90
By comparison. company B has the least additional fee because: [tex]50 < 70 < 90[/tex]
Determine the area of the shaded region.
А
6
B
8
A and B are midpoints.
Answers
ill give brainliest to the correct answer
Answers
Answer:
7 x 4 = 28
28 x 1/2(dividing by 2) = 14, 14 x 2(two triangles) = 28
4 x 5 = 20(area of square in the middle)
5 x 8 = 40(area of square on one side), 40 x 2 = 80(area of squares on both sides)
Now lets add the given areas:
28 + 20 + 80 = 128 square is your answer.
what is the value of 24,093 + 3?
A. 831
B. 8031
C. 8301
D. 8310
Answers
Answer:
B (8,031)
Step-by-step explanation:
None of these could be 24,093 + 3 so I'm gonna assume you meant ÷ instead of +
Helppp pleasee!!!
MARK BRAINLIST
12 POINTS
Answers
Answer:
12.56
Step-by-step explanation:
use the circumference of a circle formula, C=2πr, to find the circumference
so C=2π(2)=12.56 the last one
A movie theater has 1000 seats. There are 424 adults and 339 children sitting in seats. How many of the seats are empty
Answers
Answer:
237 seats are empty
Step-by-step explanation:
Answer:
there are 237 seats that are empty
Step-by-step explanation:
Write the equation for a sine function with an amplitude of 6 and a period of n/4
Answers
Answer:
Y=Asin[B(x-c)] + D
B=2π/T
=2π/(n/4)
=8π/n
Y=6sin(8πx/n)
What is the messument of this angle?
Answers
Answer:
30º
Step-by-step explanation:
Express $90 as a decimal