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Delvig [45]
3 years ago
15

Trigonometry Special Right Triangles Find the exact value of sec 60* - cosec 30* - sin 0*.

Mathematics
1 answer:
evablogger [386]3 years ago
8 0

Answer:

0

Step-by-step explanation:

cos(60) = ½

sec(60) = 2

sin(30) = ½

cosec(30) = 2

sin(0) = 0

2 - 2 - 0 = 0

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Certain items are purchased jointly. If each person pays 8 coins, the surplus is 3 coins, and if each person gives 7 coins, the
Karo-lina-s [1.5K]

Answer:

7 people purchase the items and they used 53 coins

Step-by-step explanation:

Let x represent the number of people.

Let y be the number of coins needed to purchase the items.

If each person pays 8 coins, the surplus is 3 coins. This is illustrated below:

8x = y + 3 (1)

if each person gives 7 coins, the deficiency is 4 coins. This is illustrated below:

7x = y — 4 (2)

Solving by elimination method: subtract equation(2) from equation (1). This is illustrated below:

8x = y + 3 (1)

— (7x = y — 4) (2)

x = 7.

Next, Substituting the value of x into any of the equation to obtain y. In this case I will be using equation 1 as illustrated below:

8x = y + 3 (1)

8(7) = y + 3

56 = y + 3

Collect like terms

y = 56 — 3

y = 53

Therefore, 7 people purchase the items and they used 53 coins

7 0
3 years ago
(2 + i)(3 - i)(1 + 2i)(1 - i)(3 + i)
anygoal [31]

Answer:

<h2>50+50i</h2>

Step-by-step explanation:

Given the expression (2 + i)(3 - i)(1 + 2i)(1 - i)(3 + i), we are to take the product of all the complex values. We must note that i² = -1.

Rearranging the expression [(3 - i)(3 + i)] [(2 + i)(1 - i)](1 + 2i)

On expansion

(3 - i)(3 + i)

=  9+3i-3i-i²

= 9-(-1)

= 9+1

(3 - i)(3 + i) = 10

For the expression (2 + i)(1 - i), we have;

(2 + i)(1 - i)

= 2-2i+i-i²

= 2-i+1

= 3-i

Multiplying 3-i with the last expression (1 + 2i)

(2 + i)(1 - i)(1 + 2i)

= (3-i)(1+2i)

= 3+6i-i-2i²

= 3+5i-2(-1)

= 3+5i+2

= 5+5i

Finally,  [(3 - i)(3 + i)] [(2 + i)(1 - i)(1 + 2i)]

= 10(5+5i)

= 50+50i

Hence,  (3 - i)(3 + i)(2 + i)(1 - i)(1 + 2i) is equivalent to 50+50i

5 0
3 years ago
If Jana bikes 15 miles in 50 minutes. How can you find the number of miles she bikes in one hour?
adell [148]

Answer:

Therefore,

Jana bikes 18 miles in one hour.

Step-by-step explanation:

Given:

Jana bikes,

15 miles  ---------------> in 50 minutes

To Find:

How many miles  ------------------> in 1 hour = 60 minutes

Solution:

Let 'x' miles Jana Bikes in 1 hour or 60 minutes

As, 1 hour = 60 minutes

The Ratio of Equation will be

\dfrac{15}{x}=\dfrac{50}{60}

Cross Multiplying we get

x=\dfrac{900}{50}=18\ miles

Therefore,

Jana bikes 18 miles in one hour.

8 0
3 years ago
In this triangle, the product of sin B and tan C is (answer)
dmitriy555 [2]

Step-by-step explanation:

first one c/a

second one b/a

4 0
3 years ago
In AWXY, mW<br> Find mZX<br> (2x – 12), m_X = (2x + 17), and m_Y = (9x-7)<br> Find m
sladkih [1.3K]

Answer:

45

Step-by-step explanation:

The sum of interior angles in a triangle is equal to 180

2x - 12 + 2x + 17 + 9x - 7 = 180 add like terms

13x - 2 = 180 add 2 to both sides

13x = 182 divide both side by 13

x = 14

m<X = 2x + 17 replace x with 14

2*14 + 17 = 45

5 0
2 years ago
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