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mixas84 [53]
3 years ago
15

Evan, Claire, Jaya and Tim are running a 3km relay race.

Mathematics
1 answer:
Kruka [31]3 years ago
5 0

Answer:

Tim needs to finish 59/90

Step-by-step explanation:

Add together what Evan Claire and Jaya ran  

9/10 + 7/9+ 2/3

The common denominator is 90

9/10 (9/9) +7/9 *10/10  + 2/3 *30/30

81/90 + 70/90 + 60/90

211/90

We need 3 km = 3 *90/90 = 270 /90

270/90 - 211/90 = 59/90

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What is the surface area of this prism?
Zigmanuir [339]
Let's find the area of each shape that makes up the prism.  Let's first start with the triangles.

There are two identical triangles on both ends of the prisms. They have a height of 12 and a base 18. Let's find the area of both of the triangles.
12×18=216
216 is the area of both triangles. Each triangle has an area of 108 though.
Let's find the area of the two rectangles.

There are two identical rectangles that are 30 m by 15 m. Let's find the area of both.
30×15=450×2=900
So, the area of both rectangles together is 900.
Let's find the area of the rectangle that acts as the base in the picture.

There's only one and it's 30 m by 18 m.
30×18=540
Let's add everything together.

540+900+216
1440+216
1656

So, the surface area is 1656 m².
7 0
3 years ago
The Niagara Falls ferris wheel has a diameter of 48 meters, and one revolution takes 2.25 minutes to complete. Riders can see Ni
Yanka [14]

The time intervals when the riders could see Niagara falls are; 0.834 < t < 1.416 and (3.084, 3.666)

<h3>How to interpret Cycle Graphs?</h3>

From the diagram attached, we can say that;

Period = 2π/k

where;

k = 2π/2.25

k = 8π/9

Thus;

h(t) = -(48/2) cos (8π/9)t + ((48/2) + 0.5)

h(t) = -24cos (8π/9)t + 24.5

Riders can see Niagara falls if they are higher than 41 meters above the ground. Thus;

41 = -24cos (8π/9)t + 24.5

41 - 24.5 = -24cos (8π/9)t

16.5 = -24cos (8π/9)t

-0.6875 = cos (8π/9)t

cos⁻¹0.6875 = (8π/9)t

t = 0.834 min

Thus, time interval is between;

0.834 < t < (2.25 - 0.834)

⇒ 0.834 < t < 1.416 and

(2.25 + 0.834) < t < (2.25 + 1.416)

⇒ (3.084, 3.666)

Read more about Cycle Graphs at; brainly.com/question/24461724

#SPJ1

4 0
2 years ago
Drawing it out would be best can you help me please
leva [86]

Answer:

z_1+z_2 = (-2,5)

Step-by-step explanation:

To Find: z_1+z_2

Solution :

Referring the given graph

We can find the coordinates of   z_1 and  z_2

Coordinates of   z_1= (-7,1)

Coordinates of  z_2= (5,4)

Thus Coordinates of  z_1+z_2 = (-7+5,1+4) = (-2,5)

Thus z_1+z_2 = (-2,5)

So, the point z_1+z_2 = (-2,5) is shown on the attached graph file

6 0
3 years ago
I need he answer pls answer fast answer don’t scam
Viktor [21]

Answer:

30 ft²

Step-by-step explanation:

Area of trapezium = 1/2 (a + b)h

a = 6 ft , b = 9 ft , h = 4 ft

Area = 1/2 (6 + 9) 4

= 30 ft²

6 0
2 years ago
Read 2 more answers
Baldo is paid $80 per day at his job, plus $15 per hour for every hour (h) that he works overtime. One day, his total earnings w
Flauer [41]
15h + 80 = 140

If you wanted to solve how many hours he worked:
15h + 80 = 140
15h = 60
h = 4. 
6 0
3 years ago
Read 2 more answers
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