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Nikolay [14]
3 years ago
14

If sec 50 = cosec 70, prove that 0 = 7.5°​

Mathematics
1 answer:
LiRa [457]3 years ago
7 0

Answer:

The proofing is given below:

Step-by-step explanation:

Sec 5\theta = cosec 7\theta\\\\cosec (90 - 5\theta)  = cosec 7\theta\\\\Now\ on\ comparision \\\\90 - 5\theta = 7\theta\\\\90 = 7\theta + 5\theta\\\\90 = 12\theta\\\\\frac{90}{12} = \theta\\\\0.75 = \theta

Hence, it is proved

You might be interested in
a manufacturer has determined that if his company sells x items per day then their profit is given by P=-x^2+ 700 x-10000 euros.
Radda [10]

Answer:

15

Step-by-step explanation:

To find the minimum amount of items, x, that need to be sold for the manufacturer to make a profit, we can use the quadratic formula

x = \frac{-b+\sqrt{b^{2}-4ac } }{2a}; x=  \frac{-b-\sqrt{b^{2}-4ac } }{2a}

x= \frac{-700+\sqrt{700^{2}-4(a)(-10000) } }{2(1)}; x= \frac{-700-\sqrt{700^{2}-4(a)(-10000) } }{2(1)}

x= \frac{-700+\sqrt{530000} }{2}; x= \frac{-700-\sqrt{530000} }{2}

x=\frac{-700+100\sqrt{53} }{2}; x=\frac{-700-100\sqrt{53} }{2};

x=-350 + 50\sqrt53 = 14.005; x = -350 - 50\sqrt53 = -714.005

In context of the problem, we can only rely on the positive value, as the negative value would lead to a loss of profit.

(-714.005)^2+700(-714.005)-10000=-0.360

Furthermore, we must round to the nearest whole number, as you cannot make part of an item.

Lastly, if you were to plug in 14 into the equation for Profit, you would still have a negative number (i.e. a negative profit), thus requiring the manufacturer to make no less than 15 items to make a profit:

(14)^2+700(14)-10000=-4\\\\(15)^2+700(15)-10000=725

3 0
2 years ago
A farmer wants to seed and fence a section of land. Fencing costs $27 per yard. Grass seed costs $2 per square foot. How much do
Lilit [14]

From.the calculated area and perimeter of the field, it will cost the farmer $475740 to fence and seed the pasture.

<h3>What is the area of the field?</h3>

The area of the field is calculated as follows:

Area of square = 450 ft × 450 ft = 202500 square feet

Area of triangle = (450 ft × 120 ft)/2 = 27000 square feet

Area of field = 229500 square feet

Cost of seeding the field = 229500 × $2 = $459000

Perimeter of the field = 450 + 450 + 450 + 255 + 255 = 1860 ft

1 ft = 1/3 yard

1860 ft = 1860 × 1/3 yards = 620 yards

Cost of fencing = 620 × $27 = $16740

Total cost of seeding and fencing = $475200

Therefore, it will cost the farmer $475740 to fence and seed the pasture.

Learn more about area and perimeter at: brainly.com/question/19819849

4 0
2 years ago
HELP I NEED HELP ASAP
lilavasa [31]

Answer:

The answer is C

Step-by-step explanation:

The mean of math is 84, and the Mean of science is 85.

so, science is clearly one point higher

7 0
2 years ago
Plzz Need Help!!! 15 Points!!! And will give you Brainliest answer!!!!
irakobra [83]

Answer:

the answer is A. p ∨ q

i think

Step-by-step explanation:


8 0
3 years ago
Find an equation of the line with an undefined slope and passes through the point (3, -4).
Hatshy [7]
Undefined means it goes through the x intercept, x=3
6 0
3 years ago
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