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DIA [1.3K]
3 years ago
9

Round answer to the nearest hundredth. thanks ​

Mathematics
1 answer:
Solnce55 [7]3 years ago
5 0

Answer:

2.18 units

Step-by-step explanation:

tan(70) = 6/AC

AC = 2.183821406

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1. Explain why n root a^n= |a| when n is even, but not when n is odd.
kogti [31]

Step-by-step explanation:

In the expression a^n, for integer values of n greater than 1, there are n factors. For example, a^2 = a * 2 (2 factors), a^3 = a * a * a (3 factors), etc.

For a non-negative value of a, a^n is non-negative for all values of n.

If a is negative, and n is even, then a^n is non-negative.

If a is negative, and n is odd, then a^n is negative.

|a| is non-negative for all values of a.

sqrt_n(a^n) is negative for negative a and odd n, but |a| is always non-negative, so sqrtn(a^n) cannot equal |a| for odd n.

8 0
3 years ago
PLEASE HELP TIMED---
LekaFEV [45]

Answer:

6/10

Step-by-step explanation:

i think sorry if incorrect

3 0
3 years ago
Read 2 more answers
Solve the initial value problem: y'(x)=(4y(x)+25)^(1/2) ,y(1)=6. you can't really tell, but the '1/2' is the exponent
goblinko [34]

Answer:

y(x)=x^2+5x

Step-by-step explanation:

Given: y'=\sqrt{4y+25}

Initial value: y(1)=6

Let y'=\dfrac{dy}{dx}

\dfrac{dy}{dx}=\sqrt{4y+25}

Variable separable

\dfrac{dy}{\sqrt{4y+25}}=dx

Integrate both sides

\int \dfrac{dy}{\sqrt{4y+25}}=\int dx

\sqrt{4y+25}=2x+C

Initial condition, y(1)=6

\sqrt{4\cdot 6+25}=2\cdot 1+C

C=5

Put C into equation

Solution:

\sqrt{4y+25}=2x+5

or

4y+25=(2x+5)^2

y(x)=\dfrac{1}{4}(2x+5)^2-\dfrac{25}{4}

y(x)=x^2+5x

Hence, The solution is y(x)=\dfrac{1}{4}(2x+5)^2-\dfrac{25}{4} or y(x)=x^2+5x

4 0
3 years ago
Alex is making a pizza. The round pizza pan has a 16 inch diameter. What is the area of the pizza crust needed to fill the entir
Lubov Fominskaja [6]

Answer:

The area of the pizza crust is 200.96 inches²

Step-by-step explanation:

* Lets explain how to solve the problem

- The area of any circle is πr² , where r is the length of its radius

- The length of the diameter of any circle is twice the length of

  its radius (diameter = 2 radius)

* Lets solve the problem

- Alex is making a pizza

- The round pizza pan has a 16 inch diameter

- To find the area of the pizza crust is needed to fill the entire pan,

  calculate the area of the pan

∵ The diameter of the pan is 16 inches

∵ The radius of the pan = 1/2 diameter

∴ The radius of the pan = 1/2 (16) = 8 inches

∵ The area of the pan = πr²

∵ π = 3.14 and r = 8 inches

∴ The area pf the pan = 3.14 (8)² = 200.96 inches²

∵ The area of the pizza pan = the area of the pizza crust

∴ The area of the pizza crust is 200.96 inches²

7 0
3 years ago
PLEASE HELP GIVING BRAINLIEST 25 POINTS!
tatiyna

Answer:

nearest tenth= 5.4

Step-by-step explanation:

55 ÷ 10.1= 5.44554455446.

8 0
2 years ago
Read 2 more answers
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