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anygoal [31]
3 years ago
14

6. HELP W THIS ONE TOO PLS!!

Mathematics
1 answer:
dybincka [34]3 years ago
5 0
This occurs for the input(s) x where the outputs, f(x) and g(x), are equal. So here, f(x) = g(x) when x = 1, because 5 = 5.
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You are in a hot air balloon looking down at two ponds. Pond A which is in front of your balloon, is at an angle of depression t
MatroZZZ [7]

a. See attachment for the labelled diagram

b. Using the sine ratio, distance from the hot air to pond A is 5,038.9 m, while distance from the hot air to pond B is 6,287.1 m.

c. Distance between the two ponds is 1,263.5 m.

<h3>What is the Sine and Tangent Ratios?</h3>

Sine ratio, is: sin ∅ = opposite side/hypotenuse length

Tangent ratio is: tan ∅ = opposite side/adjacent length.

a. The diagram with the appropriate labels is shown in the image attached below.

b. Use the sine ratio to find the distance from the hot air to pond A (CA) and to pond B (CB):

CA = hypotenuse

∅ = 10°

Opposite = 875 m

sin 10 = 875/CA

CA = 875/sin 10

CA ≈ 5,038.9 m (distance from the hot air to pond A)

CB = hypotenuse

∅ = 8°

Opposite = 875 m

sin 8 = 875/CB

CB = 875/sin 8

CB ≈ 6,287.1 m (distance from the hot air to pond B)

c. Distance between the two ponds, BA = BD + DA.

Apply the tangent ratio to find BD and DA

tan 8 = 875/BD

BD = 875/tan 8

BD = 6,225.9 m

tan 10 = 875/DA

DA = 875/tan 10

DA = 4,962.4 m

Distance between the two ponds = 6,225.9 - 4,962.4 = 1,263.5 m.

Learn more about the sine and tangent ratios on:

brainly.com/question/24137232

#SPJ1

8 0
2 years ago
13.On many multiple-choice tests, 1 point is given for each correct
lana [24]
C is the answer I believe

Hoped it helped
7 0
3 years ago
How many moles of NH3 will be produced if 2 moles of N2 reacts with excess H2 gas?
skad [1K]

Answer:

2 moles of N₂ will produce 4 moles of NH₃

Step-by-step explanation:

Equation of reaction

N₂ + 3H₂ → 2NH₃

The process above is the Born-Harber method of producing ammonia NH₃ industrially.

From the equation of reaction,

1 moles of N₂ will produce 2 moles of NH₃

1 moles N₂ = 2 moles NH₃

2 moles of N₂ = x moles of NH₃

x = (2*2) / 1 = 4moles of NH₃

2 moles of N₂ will produce 4 moles of NH₃

5 0
3 years ago
Find the x and y intercepts of the following equation. Please be sure to write your answers as (x,y) ordered pairs.
goldfiish [28.3K]

Answer:

x intercept- (8,0)

y intercept-(0,-4)

Step-by-step explanation:

hope this helps!

5 0
3 years ago
There are 18 boys on a football team. Of the team, 1/3 of the boys are 12 years-old. Of the 12 year-olds, 1/3 have never played
kakasveta [241]

Answer:

1/9

Step-by-step explanation:

1/3 *1/3 = 1/9

8 0
2 years ago
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