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oee [108]
3 years ago
9

Given sec A = 5/3 and that angle A is in Quadrant I, find the exact value of csc A in simplest radical form using a rational den

ominator.​
Mathematics
1 answer:
serg [7]3 years ago
5 0

9514 1404 393

Answer:

  5/4

Step-by-step explanation:

The relationship between the sec and csc functions is ...

  csc(A) = sec(A)/√(sec²(A) -1)

For the given value of sec(A), this is ...

  csc(A) = (5/3)/√((5/3)² -1) = (5/3)/√(16/9) = (5/3)/(4/3)

  csc(A) = 5/4

__

Some calculators can tell you the answer directly.

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The teacher has 5 cups of broth to share with 4 students. Will each student get more or less than 1 cup of broth. Explain.
AleksandrR [38]

Answer:

Each student would get more than 1 cup of broth.

Step-by-step explanation:

The teacher has 5 cups to split with 4 students.

- 5 cups/4 students = 1.25 cup of broth, which is also equalivent 1 1/4 cup of broth. 1.25>1 which means each student gets more than 1 cup of broth.

6 0
3 years ago
Calculate the area of triangle ABC with altitude CD, given A(−7, −1), B(−1, 5), C(0, 0), and D(−3, 3).
Tatiana [17]

Answer:

A=25 (Rounded)

Step-by-step explanation:

4 0
4 years ago
Cherries $5 per pound and oranges per pound$2. He paid 18.00 for total weight which was 6 lbs how many pounds of cherries did Al
wel
Answer: 2 lbs of cherries

Cherries = $5 per pound
Oranges = $2 per pound
Total Cost = $18
Total weight = 6 lb

------------------------------------
Define x and y
------------------------------------
Let x be the number of lb of cherries
Let y be the number of lb of oranges

------------------------------------
Construct equations
------------------------------------
x + y = 6               ---------------------------- (1)
5x + 2y = 18         ---------------------------- (2)

------------------------------------------------------------------------
Solve x and y
------------------------------------------------------------------------
From equation (1):
x + y = 6 
x = 6 - y 

------------------------------------------------------------------------
Substitute x = 6 - y into equation 2
------------------------------------------------------------------------
5x + 2y = 18
5 (6 - y) + 2y = 18
30 - 5y + 2y = 18
3y = 30 - 18
3y = 12
y = 4

------------------------------------------------------------------------
Substitute y = 4 into equation (1)
------------------------------------------------------------------------
x + y = 6
x + 4 = 6
x = 2

------------------------------------------------------------------------
Find the weight of cherries and oranges
------------------------------------------------------------------------
Cherry = x = 2 lb
Oranges = y = 4 lbs 

------------------------------------------------------------------------
Answer: Alex bought 2 lb of cherries
------------------------------------------------------------------------
5 0
3 years ago
What is 5x – 9 + 2x – 4 = 9.4
Vsevolod [243]
Simplifying
5x + -9 = 38

Reorder the terms:
-9 + 5x = 38

Solving
-9 + 5x = 38

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '9' to each side of the equation.
-9 + 9 + 5x = 38 + 9

Combine like terms: -9 + 9 = 0
0 + 5x = 38 + 9
5x = 38 + 9

Combine like terms: 38 + 9 = 47
5x = 47

Divide each side by '5'.
x = 9.4

Simplifying
x = 9.4
5 0
3 years ago
Read 2 more answers
Which of the following is true about the charge of an electron?
natita [175]

Answer:

It is -1.602 x 10^-19 C, and the smallest unit of charge

Step-by-step explanation:

The charge on an electron is 1.6\times 10^{-19}\ C. The charge on electron is negative. The quantization of electric charge is :

q = ne

q is net charge

n is no of electrons

e is the electronic charge which is -1.6\times 10^{-19}\ C. Hence, the correct option is (b).

6 0
3 years ago
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