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4 years ago

I need an answer for part A and B plz

Mathematics

1 answer:

Sladkaya [172]4 years ago

6 0

Answer:

Part A: 4 cups

Part B: 5 fluid ounces

Step-by-step explanation:

Part A: Since the ratio of vinegar to water is 1:16, 1 cup of vinegar is 16 cups of water. Divide both by 4 to get 1/4 cups of vinegar to 4 cups of water.

PartB: Since we have 80 fluid ounces of water, and 16 is 16 times 1, 80/16 is 5 fluid ounces.

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In circle V, r = 14ft.

Bad White [126]

For this case we have that by definition, the area of a circle is given by:

$A = \pi * r ^ 2$

Where:

r: It is the radius of the circle

According to the data of the statement we have that the circle has a radius of $14 \ ft$

Substituting in the formula we have:

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Answer:

Option D

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3 years ago

Read 2 more answers

A lighthouse is located on a small island 2 km away from the nearest point P on a straight shoreline and its light makes four re

ddd [48]

Answer:

62.8 km per min

Step-by-step explanation:

Let the diagram of this situation is shown below,

In which $\theta$ is the angle made by light to the straight line joining the lighthouse and P,

∵ Light makes 4 revolutions per minute.

Also, 1 revolution = $2\pi$ radians

So, the change in angle with respect to t ( time ),

$\frac{d\theta}{dt}=8\pi\text{ radians per min}$

Let x be the distance of beam from P,

$\implies \tan \theta = \frac{x}{2}$

Differentiating with respect to x,

$\sec^2 \theta \frac{d\theta}{dt}=\frac{1}{2}\frac{dx}{dt}$

$(1+\tan^2 \theta) (8\pi) = \frac{1}{2}\frac{dx}{dt}$

$(1+\frac{x^2}{2^2})(8\pi) = \frac{1}{2}\frac{dx}{dt}$

If x = 1 km,

$(1+\frac{1}{4})8\pi =\frac{1}{2}\frac{dx}{dt}$

$\frac{5}{4}8\pi = \frac{1}{2}\frac{dx}{dt}$

$\implies \frac{dx}{dt}=\frac{80\pi}{4}= 20\pi\approx 62.8\text{ km per min}$

Hence, the beam of light moving along the shoreline with the speed of 62.8 km per min

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4 years ago

Please help. Thats the question and answer choices

jek_recluse [69]

Bottom right! You are correct. :)

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3 years ago

If there are 25 students in a class in which 5 of the 11 guys wear glasses and 6 out of the 14 girls wear glasses- what is the p

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Answer:

6 out of 25

Step-by-step explanation:

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3 years ago

Tell whether a triangle can have the given angle measures.

natali 33 [55]

Yes they can have these angles.
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3 years ago