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V125BC [204]
3 years ago
9

To find the distance across a lake, a

Mathematics
2 answers:
Liula [17]3 years ago
7 0

Answer:

608 yard

Step-by-step explanation:

tan 50 degrees =a/510

a=tan 50 degrees x510

=608 yards

Nesterboy [21]3 years ago
6 0

The distance across the lake, a is 611 yards

<h3>Right angle triangle:</h3>

Right angle triangle have one of its angles as 90 degrees. Therefore, the side a can be found using trigonometric ratios,

Therefore,

tan 47° = opposite / adjacent

tan 47° = a / 570

cross multiply

a = 570 tan 47°

a = 570 × 1.07236871002

a = 611.250164714

a = 611 yards

learn more on right triangle here: brainly.com/question/18450490

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Step-by-step explanation:

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3 years ago
West Jones bought markers for their teachers' dry erase boards. They bought 822 items in all. Each eraser cost $1.50 and each ma
Aleksandr-060686 [28]

Answer:

<em>Number of erasers bought = 122</em>

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<em />

Step-by-step explanation:

Given that:

Two items to be bought:

1. Eraser for the dry board

2. Maker

Total items bought = 822

Total money spent = $953

Cost of each eraser = $1.50

Cost of each marker = $1.10

Let the number of erasers bought = x

Let the number of markers bought = y

As per question statement:

x+y=822 ..... (1)

1.50x+1.10y=953\\\Rightarrow 15x+11y=9530 ..... (2)

Multiplying equation (1) with 11 and subtracting from equation (2):

4x = 9530 - 822\times 11\\\Rightarrow 4x = 488\\\Rightarrow x=122

By equation (1):

\Rightarrow y =822-122\\\Rightarrow y = 700

Therefore, the answer is:

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3 years ago
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