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3 years ago

Solve for y using the distributive property 2(y - 14) =8

Mathematics

2 answers:

Paraphin [41]3 years ago

8 0

(y-14)=8/2
y-14=4
y=4+14
y=18

ra1l [238]3 years ago

7 0

2y-28=8

Add 28 to both sides

2y=36

Divide 2 to both sides

You get

x=18

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Given: ∆ABC, m∠C = 90° CB = 8, m∠B = 38º Find the area of a circumscribed circle. Find the area of the inscribed circle.

vitfil [10]

Answer:

Circumscribed circle: Around 80.95

Inscribed circle: Around 3.298

Step-by-step explanation:

Since C is a right angle, when the circle is circumscribed it will be an inscribed angle with a corresponding arc length of 2*90=180 degrees. This means that AB is the diameter of the circle. Since the cosine of an angle in a right triangle is equivalent to the length of the adjacent side divided by the length of the hypotenuse:

$\cos 38= \dfrac{8}{AB} \\\\\\AB=\dfrac{8}{\cos 38}\approx 10.152$

To find the area of the circumscribed circle:

$r=\dfrac{AB}{2}\approx 5.076 \\\\\\A=\pi r^2\approx 80.95$

To find the area of the inscribed circle, you need the length of AC, which you can find with the Pythagorean Theorem:

$AC=\sqrt{10.152^2-8^2}\approx 6.25$

The area of the triangle is:

$A=\dfrac{bh}{2}=\dfrac{8\cdot 6.25}{2}=25$

The semiperimeter of the triangle is:

$\dfrac{10.152+6.25+8}{2}\approx 24.4$

The radius of the circle is therefore $\dfrac{25}{24.4}\approx 1.025$

The area of the inscribed circle then is $\pi\cdot (1.025)^2\approx 3.298$ .

Hope this helps!

6 0

3 years ago

At an aquarium, a shrimp if fed 1/5 gram of food each feeding and is fed 3 times each day. What is the constant of proportionali

Contact [7]

Answer:

The answer is most likely 5 shrimp eats 5 grams of food im one day,

Step-by-step explanation:

At an aquarium, a shrimp if fed 1/5 gram of food each feeding and is fed 3 times each day. What is the constant of proportionality and what does it tell us about the situation?

So, We know the shrimp is fed 1/5 gram of food each feeding, And we know the shrimp is fed 3 times each day.

Now, We need to answer the question, What is the constant of proportionality and what does it tell us about the situation?

Then, That means '5, shrimp eats 5 grams of food in one day ' is correct.

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3 years ago

Write the slope intercept 4x-y=1

Sergio [31]

Answer:

y = 4x - 1

Step-by-step explanation:

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