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Mathematics

1 answer:

Elodia [21]2 years ago

3 0

Answer:

hrs =4

Step-by-step explanation:

550-11

200-x

cross multiply

550x=200×11

550÷550=2200÷560

x=4

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A boat is 60m from the base of a lighthouse. The angle of depression between the lighthouse and the boat is 37°. How tall is the

LekaFEV [45]

Answer: 34.64 m

Step-by-step explanation:

Given: A boat is 60 m from the base of a lighthouse.

The angle of depression between the lighthouse and the boat is 37°.

By using trigonometric ratios :

$\tan x=\dfrac{\text{Side opposite to }x}{\text{Side adjacent to }x}$

here x= 37°, side opposite to x = height of lighthouse (h) , side adjacent to x = 60 m

$\tan 37^{\circ}=\dfrac{h}{60}\\\\\Rightarrow\ 0.57735=\dfrac{h}{60}\\\\\Rightarrow\ h= 60\times0.57735\approx34.64$

Hence, the lighthouse is 34.64 m tall.

6 0

2 years ago

Solve for x <br> 4x+3 X-8

Karo-lina-s [1.5K]

We know this angle is a 90° or a right angle. So another words we know adding these 2 expressions equals to 90°.

(4x + 3) + (x - 8) = 90°

Remove the parentheses and combine the like-terms:

5x - 5 = 90°

Add 5 on both sides:

5x = 95°

Divide 5 on both sides

x = 19

You answer is x = 19.

3 0

9 months ago

Apply the laws of probability and calculate the probability the offspring of the cousin marriage of 3 x 7 will have the trait. (

lilavasa [31]

Answer:

0.16

Step-by-step explanation:

The calculation of probability by applying the is shown below:-

It is evident from the pedigree that the mode of inheritance is recessive and the characteristic is recessive that's also phenotype of disease is only seen if the genotype is aa.

The genotype of 1. In pedigree Can be either AA or Aa.

The chance that the offspring of the $3\times 7$ cousin marriage will have the characteristic is