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3 years ago

The silence of a triangle are 9 12 and 15 is this a right triangle

Mathematics

1 answer:

Lilit [14]3 years ago

3 0

Answer:

Yes because 9 + 12 = 15

Step-by-step explanation:

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5. Monday night it was -2.3°C. If the

ozzi

Answer:

-4.6

Step-by-step explanation:

-2.3-2.3=-4.6

8 0

1 year ago

Write sin(19°) in terms of cosine.

Leto [7]

Answer:

cos(71)

Step-by-step explanation:

Since 19° is less than 90, we can express this in terms of confunction.

sin(θ) = cos(90-θ)

sin(19) = cos(90-19)

sin(19) = cos(71)

3 0

2 years ago

A long distance runner does a first lap around a track in exactly 50 seconds.As she tires.Each subsequent lap takes 20% longer t

madreJ [45]

Answer:

182 seconds

Step-by-step explanation:

Given:

Time taken for first lap is 50 seconds and each subsequent lap takes 20% longer than previous

Solution:

Time taken for first lap = 50 sec

For second lap

Each subsequent lap takes 20% longer than previous

Previous lap time = 50 sec

second lap = 50 + 20% of 50

second lap $=50+(\frac{20}{100}\times 50)$

second lap $= 50 + 10$

second lap $= 60\ sec$

For third lap

Each subsequent lap takes 20% longer than previous

Previous lap time = 60 sec

Third lap = 60 + 20% of 60

$Third\ lap = 60 + (\frac{20}{100}\times 60)$

$Third\ lap = 60+2\times 6$

$Third\ lap = 60+12$

$Third\ lap = 72\ sec$

Time taken for 3 laps is equal to sum of all three laps time.

$Tiem\ taken\ for\ 3\ lap = 50+60+72$

$Tiem\ taken\ for\ 3\ lap = 182\ sec$

Therefore, it takes 182 seconds (3 min, 2 seconds) to run three laps

6 0

3 years ago

The cruise boat can carry up to 45 passengers. The company wants to know the minimum number of passengers needed per cruise to c

denpristay [2]

Fixed price costs
Crew salaries 350
fuel 120
overheads 170
Total fixed cost: 640

Variable costs per passenger
refreshments $ 6.50
refund $ 3.64
total variable cost: 10.14

Sales income
Average ticket $ 36 .40

Break-even point = (fixed costs) 
(income per passenger – costs per passenger) 


Break even = 640 / (36.40-10.14) = 640 / 26.26 = 24.37

3 0

3 years ago

A 35% sodium hydroxide solution is to be mixed with a 60% sodium hydroxide solution to obtain 20 liters of 40% sodium hydroxide

nydimaria [60]

0.35x + 0.60y = 0.40(x + y) where x = vol. of 35% and y = vol. of 60%

x + y = 20

solve this system of equations

x + y = 20
-0.05x +0.20y = 0

this gives x = 16 and y = 4

so you need 16 L of 35% and 4 L of 60% solution.

3 0

3 years ago