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natali 33 [55]
3 years ago
13

Tangerine trees yield 50 pounds of fruit per acre and grapefruit trees yield 75 pounds of fruit per acre. John's orchard produce

d a maximum total of 1,500 pounds of fruit. Is it possible for John to have 25 acres of tangerine trees and 15 acres of grapefruit trees?
Mathematics
2 answers:
Ipatiy [6.2K]3 years ago
7 0
No, it is not possible
SVEN [57.7K]3 years ago
6 0
No, it is not possible, because the total pounds would be over John's maximum. It adds up to 2375 pounds of fruit.
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50 points for whoever answers the right answer
Olin [163]

Answer:

128

Step-by-step explanation:

Supplementary means they sum to 180, and it's also a straight line. 180-49 = 131. 131-3 = 128, or x.

6 0
2 years ago
Read 2 more answers
Can someone please teach me how to do this? You can please do like 2 questions and please explain exactly how you got the answer
spayn [35]

All of these questions require one thing: trigonometric functions.

There are 3 main trigonometric functions, which can only be used on right triangles: sine, cosine, and tangent.

Sine = opposite / hypotenuse

Cosine = adjacent / hypotenuse

Tangent = opposite / adjacent

When trying to figure out what function to use, we always start by looking from the angle. Take problem a, for example. Looking from angle E, of which the value is not given, we have the side opposite and the side adjacent. Therefore, we should use the tangent function.

---The hypotenuse is always the longest side of the triangle. It is never considered the opposite or adjacent side.

Let's set up our function with the given information from problem a.

tan(x) = 9.7 / 5.2

---The tangent of an unknown angle is equal to the quotient of the opposite side and the adjacent side.

Now, solving for the value of x will require a calculator. We'll need to use what's called an inverse trigonometric function. Most calculators have these directly above the regular trigonometric functions, and the inverse functions are accessed using a "second" key.

---Ensure that your calculator is in degrees, not radians!

x = tan^-1(9.7 / 5.2)

x = 61.805 = 62 degrees

Next, let's take a look at problem b. This time, we're solving for a side length instead of an angle. But, we're still going to start by looking from our angle.


Looking from the 38 degree angle, we are given the adjacent side and an unknown hypotenuse. Therefore, we should use the cosine function.

cosine(38) = 53.1 / r

---The cosine of a 38 degree angle is equal to the quotient of 53.1 and an unknown hypotenuse, r.

Use your algebra skills to isolate the variable r.

r * cosine(38) = 53.1

r = 53.1 / cosine(38)

---From here, all you need to do is plug this into your calculator. Since we are solving for a side length (and given an angle), we are just using the regular trigonometric function buttons on the calculator.

r = 67.385 = 67.4 units

Hope this helps!

4 0
2 years ago
How many solutions are there to the equation below ?
Anna35 [415]
145=10x-8x it’s A I’m pretty sure
6 0
4 years ago
If the radius of a cylinder is 18 meters and its height is 7 meters, the volume of the cylinder is approximately 72 cuble meters
seropon [69]

Answer:

Volume = πr2h

= π×182×7

= 2268π

= 7125.1321383417 meters3

3 0
2 years ago
Find value of x please
Liono4ka [1.6K]
X = 180 - 108 = 72.......,
7 0
3 years ago
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