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sdas [7]
4 years ago
8

Pls help me on these 2 questions !!

Mathematics
1 answer:
motikmotik4 years ago
3 0

Answer:

1. 23

2. 8

Step-by-step explanation:

☆Cross multiply.

\frac{2}{10}  =  \frac{4}{a - 3}  \\  \\ 40 = 2(a - 3) \\ 40 = 2a - 6 \\   \frac{ + 6  =  \:  \:  \:  \:  \:  \:  \:  \:  + 6}{ \frac{46}{2} =  \frac{2a}{2}  }  \\  \\ 23 = a

--------

\frac{k}{6}  =  \frac{4}{3}  \\  \\  \frac{24}{ 3}  =  \frac{3k}{3}  \\  \\ 8 = k

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World problem in length (trigonometry) geometry not chemistry
lions [1.4K]

Answer:

≈ 47.2 m

Step-by-step explanation:

let the height from the sea to the base of lighthouse be h₁

let the height from the sea to the top of the lighthouse be h₂

using the tangent ratio in the right triangle

tan55.1° = \frac{opposite}{adjacent} = \frac{h_{1} }{610} ( multiply both sides by 610 )

h₁ = 610 tan55.1°

tan56.5° = \frac{h_{2} }{610} ( multiply both sides by 610 )

h₂ = 610 tan56.5°

then

height of lighthouse = h₂ - h₁        

                                  = 610 tan56.5° - 610 tan55.1°

                                  = 610(tan56.5° - tan55.1° )

                                 ≈ 47.2 m ( to the nearest tenth )

6 0
2 years ago
Plzz help will give 15 pts and brainliest!!!!!!!!
Helga [31]

Answer:

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Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
On a standardized science test, the seniors at Fillmore High School have a mean score of 430 with a standard deviation of 90.
olasank [31]

Answer:

For random samples of 100 seniors, 68% of the sample means fall between 340 and 520

Step-by-step explanation:

As a property of normal distribution, 68% of sample means fall between mean - sigma(430 - 90 = 340) and mean + sigma (430 + 90 = 520) (here, sigma is standard deviation).

Hope this helps!

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3 0
3 years ago
Need help with number 35.
weqwewe [10]

Answer:

B is correct

Step-by-step explanation:

This is not an example of principle of independence

3 0
3 years ago
A pair of parallel lines is cut by a transversal, as shown below: A pair of parallel lines is cut by a transversal. The interior
DiKsa [7]
See the picture attached to better understand the problem   

we know that
(x+20)+∠1=180°-------> by supplementary angles
∠1=160°-x

∠1+∠2=180°--------> by supplementary angles
∠2=180-(160-x)-----> ∠2=20+x

∠2=80°------> by corresponding angles
so
20+x=80
x=80-20-------> x=60°

the answer is
60°

5 0
3 years ago
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