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3 years ago

Given cos(O)=3/5 and tan(O)

Mathematics

1 answer:

Valentin [98]3 years ago

3 0

Answer:

Tan(O) = 4/3

Step-by-step explanation:

According to SOH CAH TOA

cos theta = adj/hyp

cosO = 3/4

adj = 3

hyp = 5

Get the opposite

Using pythagoras theorem

opp^2 = hyp^2-adj^2

opp^2 = 5^2 - 3^2

opp^2 = 25-9

opp^2 = 16

opp = 4

Tan (O) = opp/adj

Tan(O) = 4/3

Hence Tan(O) = 4/3

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In △ABC the points M and N belong to the sides AC and AB respectively. AM= 1/3 AC, AN= 1/3 AB, BC=15. Find MN

Oliga [24]

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3 years ago

PLEASE HELP WILL MARK BRAINLIEST

saveliy_v [14]

Answer:

I'm glad you asked!

Step-by-step explanation:

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3 years ago

Tublu buys a cylindrical water tank height 1.4 M and diameter 1.1 M to catch rainwater off his roof.

denis23 [38]

Complete Question:

Tublu buys a cylindrical water tank of height 1.4m and diameter 1.1m to catch rainwater off his roof. He has a full 2 liters tin of paint in his store and decides to paint the tank(not the base). If he uses 250ml to cover 1m2, will he have enough paint to cover the tank with one layer of paint? Take pie as 3.142

Answer:

Yes. It will be enough to cover the tank with 1 layer of paint. The tank requires 1.21 liters of paint.

Step-by-step explanation:

Given:

Height of cylindrical tank (h) = 1.4m

Diameter = 1.1m (radius = ½ of 1.1 = 0.55 m)

Litres of paint available = 2 liters

Rate of usage of paint = 250 ml to 1 m²

π = 3.142

Required:

Determine if the available 2 liters of paint would be enough for the painting

Solution:

Step 1: calculate the curved surface area of the cylindrical tank

Curved surface area (CSA) = 2πrh

= 2*3.142*0.55*1.4

= 4.84 m²

Step 2: Calculate how many liters of paint is required to paint the cylindrical tank having a curved surface area of 4.84 m²

If 1 m² requires 250ml (0.25 liters) of paint,

4.84m² area will require 4.84*0.25 liters

= 1.21 liters of paint.

<em>Since 2 liters of paint is available, it means the paint will be more than enough to cover the tank with 1 layer of paint.</em>

7 0

3 years ago

An aircraft seam requires 24 rivets. The seam will have to be reworked if any of these rivets are defective. Suppose rivets are

kirill [66]

Answer:

Step-by-step explanation:

p(d) - probability of a rivet being defective

p(r) - probability of seam needing to be reworked

The probability of the seem needing to be reworked is equal to the probability that ANY of 24 rivets is defective

Thus the probability that none of the 25 rivets is defective is 1-p(r)

p(r) = 16%, thus 1-p(r) = 84%

1-p(r) = (1-p(d))^24

0.84 = (1-p(d))^24

0.84^(1/24) = 1-p(d)

==> 1-p(d) = 0.9927615998

==> p(d) = 1-0.9927

==> p(d) = 0.0073

b) given p(r) = 8%, thus 1-p(r) = 92%

1-p(r) = (1-p(d))^24

0.92 = (1-p(d))^24

0.92^(1/24) = 1-p(d)

==> 1-p(d) = 0.99653179446

==> p(d) = 1-0.9965

==> p(d) = 0.0035

5 0

3 years ago

If your total is $19.48 and the tax is $9.25 what is the total amount

7nadin3 [17]

Answer:28.73

Step-by-step explanation:

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3 years ago

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