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2 years ago

The formula for the area of a sector with a central angle in radians is ?

Mathematics

1 answer:

zlopas [31]2 years ago

4 0

$S= \frac{r^2*\alpha}{2}$

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When x = 3 and y = 5, by how much does the value of 3x^2 – 2y exceed the value of 2x^2 – 3y ?

JulsSmile [24]

$3\cdot3^2-2\cdot5-(2\cdot3^2-3\cdot5)=27-10-(18-15)=17-3=14$

7 0

3 years ago

Please solve this, will rate 5 stars and mark as STAR!

Nina [5.8K]

Answer:

$\boxed{5 \cdot \sqrt{2} \cdot \sqrt[6]{5} }$

Step-by-step explanation:

$\sqrt[3]{250} \cdot \sqrt{\sqrt[3]{10} }$

$\sqrt{\sqrt[3]{10} } \implies (10^\frac{1}{3} )^\frac{1}{2} =10^\frac{1}{6} =\sqrt[6]{10}$

$\therefore \sqrt{\sqrt[3]{10} }=\sqrt[6]{10}$

$\text{Solving }\sqrt[3]{250} \cdot \sqrt{\sqrt[3]{10} }$

$250=2 \cdot 5^3$

$\sqrt[3]{250}=\sqrt[3]{2\cdot 5^3}=5 \sqrt[3]{2}$

Once

$\sqrt[6]{2} \cdot \sqrt[6]{5} = \sqrt[6]{10}$

We have

$5 \sqrt[3]{2} \cdot \sqrt[6]{2} \cdot \sqrt[6]{5}$

We can proceed considering the common base of exponentials

$\sqrt[3]{2} \cdot \sqrt[6]{2} = 2^{\frac{1}{3}} \cdot 2^{\frac{1}{6} } = 2^{\frac{3}{6} } = 2^{\frac{1}{2} }=\sqrt{2}$

Therefore,

$5 \sqrt[3]{2} \cdot \sqrt[6]{2} \cdot \sqrt[6]{5} = 5 \cdot \sqrt{2} \cdot \sqrt[6]{5}$

7 0

2 years ago

Which of the following explains why f(x) = log4x<br> does not have a y-intercept?

Margarita [4]

Answer: f(x) approaches infinity

Step-by-step explanation:

N/A

7 0

2 years ago

Please help number 7 and number 8

ladessa [460]

7. You are finding the area of the box. Not the cube, just a surface. Length times width of the surface. Eliminate other numbers and multiply

24.5×19.5

then

26×24.5

8. You are doing the same thing almost. Word problems are scary, but look for the numbers.

4inch ×8inch × 12inch

Find the volume
Multiply the volume by 3, that'd one answer
Devide the ORIGINAL volume by 2. don't divide the volume you multiplied by 3.

8 0

2 years ago

If p is inversely proportional to the square of q, and p is 25 when q is 3, determine p

ArbitrLikvidat [17]

Answer:

p = 9 when q = 5.

Step-by-step explanation:

p is inversely proportional to the square of q

This means that:

$p = \frac{k}{q^2}$