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larisa86 [58]
3 years ago
8

WILL GIVE BRAINLIEST TO THE BEST CORRECT ANSWER!!!!!!! The people of Bridgetown wanted to build a bridge across a nearby river.

Since they were poor swimmers, their master Trigonomos agreed to measure the width of the river without actually crossing it. Trigonomos spotted a tree across the river and marked the spot directly across from it. Then he walked to another point 10 meters down the river and found that the angle between his side of the river and the line connecting him to the tree was 40º. What is the width of the river in meters? Round your final answer to the nearest hundredth.

Mathematics
1 answer:
romanna [79]3 years ago
5 0

Answer:

The width of the river is about 8.39 m.

Step-by-step explanation:

Tan = Opposite/Adjacent

The width of the river is the side of a right triangle opposite the angle of 40°. The 10 m distance is the length of the side adjacent to the measured angle. So, we have ...

tan(40°) = width/(10 m)

Multiplying by 10 m, we get ...

width = (10 m)tan(40°) ≈ 8.39 m

The width of the river is about 8.39 m.

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There are two different variables. X and Y.

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1/72

Step-by-step explanation:

2^-3 = 1/2^3 = 1/8

3^-2 = 1/3^2 = 1/9

1/8 x 1/9 = 1/72

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In the triangle below, what is the length of the side opposite the 60 angle?
OlgaM077 [116]
It is 3 cause i got it wrong and that was the right anser
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Nora and Lila are reading the same novel for book club.
stich3 [128]

Answer:

<u>1. Nora and Lila be on the same page of the book after 6 days and a half.</u>

<u>2. Nora and Lila be on the page 180.</u>

Step-by-step explanation:

1. Let's check the information given to resolve the question:

Current page of the novel that Nora is reading now = 128

Pages per day Nora reads = 8

Current page of the novel that Lila is reading now = 102

Pages per day Lila reads = 12

Days ahead for Nora and Lila will be on the same page = x

2. After how many days of reading will Nora and Lila be on the same page of the book?

128 + 8x = 102 + 12x

8x - 12x = 102 - 128 (Subtracting 12x and 128 at both sides)

-4x = -26

x = 6.5

<u>Nora and Lila be on the same page of the book after 6 days and a half.</u>

<u>3.</u> What page will they be on?

Nora : 128 + 8 (6.5) = 128 + 52 = 180

Lila : 102 + 12 (6.5) = 102 + 78 = 180

<u>Nora and Lila be on the page 180</u>

4 0
2 years ago
Please Help.
Gennadij [26K]
Answer:
amount of nuts = 2 pounds
amount of dried fruit = 4 pounds

Explanation:
We are given that x is the amount of nuts and y is the amount of dried fruit.
We are also given that:
1- Hunter needs to make 6 pounds of trail mix. This means that:
x + y = 6
This can be rewritten as:
x = 6 - y .........> equation I
2- x costs $4 per pound, y costs $3.5 and Hunter can spend a total of $22. This means that:
4x + 3.5y = 22 ..........> equation II

Substitute with equation I in equation II and solve for y as follows:
4x + 3.5y = 22
4(6-y) + 3.5y = 22
24 - 4y + 3.5y = 22
24-22 = 4y-3.5y
2 = 0.5y
y = 4 pounds

Substitute with y in equation I to get the value of x as follows:
x = 6-y
x = 6-4
x = 2 pounds

Hope this helps :)

7 0
3 years ago
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