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lina2011 [118]
3 years ago
7

Describe a situation that you could represent with an inequality, then write the inequality.​

Mathematics
1 answer:
ira [324]3 years ago
7 0

Answer:

I have attached pictures of those below.

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A 40-foot y’all monument sits on top of a hill. Eye is standing at a point on the hill and observes the top of the monument at a
aleksley [76]

Answer:

  54.8 feet

Step-by-step explanation:

We assume that the distance of interest is the direct line distance from the observation point to the bottom of the monument, segment PH in the diagram  below.

This can be found using the Law of Sines.

∠PMH is the complement of the angle of elevation to the top of the monument, so is 40°.

∠MPH is the difference in the angles of elevation, so is 28°.

__

The Law of Sines tells us the ratio of side lengths is the same as the ratio of the sines of the opposite angles, so ...

  PH/MH = sin(∠PMH)/sin(∠MPH) = sin(40°)/sin(28°)

Multiplying by MH, we can find the length of PH:

  PH = (40 ft)(sin(40°)/sin(28°)) ≈ 54.7669 ft

  PH ≈ 54.8 ft . . . . the distance Pete must climb to reach the monument.

3 0
3 years ago
Twice the sum of a number and five is equal to 40 (translate to an algebraic equation)
weeeeeb [17]
2(x + 5) = 40 ....................
8 0
3 years ago
Four times a number is added to 5. The sum is then divided by 6. The result is 7/2. Find the number.
bogdanovich [222]

Hi!

The set up for the question is like this:

\frac{4x + 5}{6} = \frac{7}{2} \\2*(4x + 5) = 7*6\\8x + 10 = 42\\8x = 42 - 10 = 32\\x = 32/8\\x = 4

Hope this helps!

8 0
3 years ago
suppose the depth of the tide in a certain harbor can be modeled by y = 20 + 5 cos (pi/6 t), where y is the water depth in feet
Rom4ik [11]

Answer:

- high tide occurs at 12 noon and 12 midnight

- Low tide occurs at 6 a.m and 6 p.m

- maximum depth value = 20 ft

- Minimum depth value = 15 ft

Step-by-step explanation:

The depth is modelled as;

y = 20 + 5 cos (πt/6)

We are told that t = 0 represents 12:00 midnight.

This is high tide because at t = 0, the cos function will be at it's maximum value of 1 since cos 0 = 1.

Max depth value is;

y = 20 + 5(0)

y = 20 ft

Minimum depth value will be the low tide and it will be when the cos function is equal to -1.

Thus;

y = 20 + 5(-1)

y = 15 ft

Since t represents number of hours and since at 12 midnight, t = 0, thus; high tide will occur again at;

12 noon

Also, let's check for low tide.

Let's try t = 6 which means 6 a.m

Thus;

y = 20 + 5 cos (π(6)/6)

y = 20 + 5 cos π

Cos π has a value of -1

Thus;

y = 20 + 5(-1)

y = 20 - 5

y = 15 ft

Thus;

Low tide occurs at 6 a.m and 6 p.m

5 0
4 years ago
The units for cubic centimeters can be written as _____. Check all that apply.
GarryVolchara [31]
The correct answers for this completion exercise are the option "B" and the option "C":
 
 B. cm³
 C. cc
 
 This means that you can write the unit of volume (or capacity) cm³ as cc. 
 
 Therefore, cm³=cc
 
 For example, you have:
 
 a) 10 cm³=10 cc
 b) 110 cc=110 cm³
 c) 1 litre (l)=1000 cm³
 d) 1 litre (l)=1000 cc
7 0
3 years ago
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