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erma4kov [3.2K]
2 years ago
7

Using Trigonometric ratios, solve the following triangle

Mathematics
1 answer:
timurjin [86]2 years ago
4 0

Answer:

29.56

Step-by-step explanation:

From the given diagram

x = hypotenuse

27 = adjacent

Using SOH CAH TOA identity

cos theta = adj/hyp.

Cos 24 = 27/x

x = 27/cos24

x = 29.56

Hence the value of x to the hundredth place is 29.56

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A computer moniter is solid by the diagonal length of the screen a computer monitor has a 15 inch screen the screen has a width
n200080 [17]
For this problem, you would use the Pythagorean Theorem (a^2 + b^2 = c^2)

A and B are the length and width of the triangle. The triangle is created by the diagonal line splitting the computer screen. C is the hypotenuse, which is the diagonal line, and will always be the longest side of the triangle. 

When we plug in the numbers into the formula, we would get this:

13^2 + b^2 = 15^2

B is the unknown variable in which we are trying to find.
First, you square 13 and 15:

169 + b^2 = 225

Then, subtract 169 from both sides:

b^2 = 56

Finally, find the square root of both sides:

b = 7.483314774

Simplify to the nearest tenth, and the answer is 7.5<span />
7 0
2 years ago
Find the EXACT value of sec (-120 degrees)
kenny6666 [7]
Sec is 1/cos so sec -120 is 1/cos -120 which is -2
3 0
3 years ago
Read 2 more answers
5. A new car is offered for lease for $291 per month for
Elodia [21]

Answer: B

$10,390.75

Step-by-step explanation:

Given that the lease = $291 per month

Lease pay = 291 × 24 = $6984

Time = 24 months

down payment = $458.

The lease allows for 12,000 miles per year and includes a $0.35 per mile charge for miles driven in excess of that amount. 

For the car to be driven a total of 32,425 miles. 

Excess = 32425 - 24000 = 8425 miles

Charges = 0.35 × 8425 = $2948.75

The cost for two years for this vehicle will be

2948.75 + 458 + 6984 = $10390.75

4 0
3 years ago
the number of students enrolled in school increase by 12% from last year to this year. The enrollment this year is 13,640. What
algol13
Use a calculator. I would walk you through it, but it should be simple.
8 0
3 years ago
Tyrod needs at least $820 to buy the computer he wants. He has already saved $330. He earns $50 per lawn that he cuts. What is t
Ksju [112]

▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪

The equation representing the given statement is ~

  • 50x + 330 \geqslant 820

The least number of lawns that he can cut and buy the computer is 10 lawns ~

\large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}

Total savings should be greater or equal to $ 820 in order to buy the computer,

And his total savinga is equal to ~

Money he saved + money got from cutting lawns.

let's assume the lawns cut by Tyrod be x,

Money earned by cutting lawns is equal to

  • total number of lawns cut × $50

  • 50x

total savings is equal to ~

  • 330 + 50x

hence,

  • 50x + 330 \geqslant 820

by solving for " x (number of lawns cut) " we get ~

  • 50x  \geqslant 820 - 330

  • 50x \geqslant 490

  • x  \geqslant 490 \div 50

  • x \geqslant 9.8

Hence, the least number of lawns he has to cut is the number that is greater than 9.8, which is

  • 10

6 0
2 years ago
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