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7nadin3 [17]
3 years ago
5

Given cos theta=24/25 and is located in Q3, Evaluate the rest of the trigonometric functions:. 1. sin theta=. 2. tan theta=. 3.

cot theta= . 4. sec theta= . 5. csc theta=
Mathematics
1 answer:
Tom [10]3 years ago
7 0
CosФ=24/25

Sin Ф=7/25 CoseceФ=25/7
TanФ=7/24 cotФ=24/7
SecФ=25/24
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Evaluate each using the values given.<br> 7) 3 - x + x + y; use x = 4, and y=-1
kkurt [141]

Answer:

2

Step-by-step explanation:

3-4+4+(-1) (-4+4=0)

=3-1

=2

4 0
3 years ago
A cylinder has radius 2.5 cm and lateral area 20 pi cm^2. What is the surface area of the cylinder in terms of pi?
Novosadov [1.4K]
This is the concept of areas of solid materials; the surface area of the cylinder whose radius is 2.5 cm and lateral area is 20 pi cm^2 will be: Surface area of cylinder is given by:
SA=(area of cyclic sides)+(lateral area)
SA=2πr^2+πrl
Area of the cyclic sides will be:
Area=2πr^2
=2*π*2.5^2
=12.5π cm^2
The lateral area is given by:
Area=20π cm^2
Therefore the surface area of cylinder will be:
SA=(12.5π+20π) cm^2
SA=32.5π cm^2
The answer is 32.5π cm^2

4 0
3 years ago
Find the coordinates of point P that lies along the directed line segment AB in a 2:3 ratio given A (-2, 1), B (3, 4).
saul85 [17]

Answer:

P(x,y) = (0,\frac{11}{5})

Step-by-step explanation:

Given

A = (-2,1)

B = (3,4)

m:n = 2:3

Required

Determine the coordinates of P

The coordinate of a point when divided into ratio is:

P(x,y) = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})

Where

(x_1,y_1) = (-2,1)

(x_2,y_2) = (3,4)

m:n = 2:3

This gives:

P(x,y) = (\frac{2 * 3 + 3 * -2}{2 + 3},\frac{2 * 4 + 3 * 1}{2 + 3})

P(x,y) = (\frac{6 - 6}{5},\frac{8 + 3}{5})

P(x,y) = (\frac{0}{5},\frac{11}{5})

P(x,y) = (0,\frac{11}{5})

5 0
3 years ago
The value of a house has increased by 5% the house is now valued at £609000 what is the value of the house before the increase?
lutik1710 [3]

Answer:

Current \ price = 609000\\\\Let \ the \ original \ price \ be = x\\\\\% increase = 5 \% \ of \ x = \frac{5}{100} \times x = \frac{5x}{100}\\\\Price \ after \ increase, current\ price = \frac{5x}{100} + x\\\\

=> 609000 = \frac{5x}{100} + x\\\\=>609000 = \frac{105x}{100}\\\\=> x = \frac{609000 \times 100}{105}\\\\x = 580000

Therefore original price = $580,000

3 0
2 years ago
Find the value of b if the following figures are similar.​
chubhunter [2.5K]

Answer:

7

Step-by-step explanation:

20 - 12 = 8

15 - b = 8

-b = 8 - 15

b = 7 ( -ve signs will become +ve)

3 0
3 years ago
Read 2 more answers
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