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3 years ago

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If 5r + 6 < 36, then a) r<6 b) r<8 c) r<12 d) r<30 e) not given

1 answer:

Irina18 [472]3 years ago

4 0

The answer is r<6

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What is the value of z, rounded to the nearest tenth? Use the law of sines to find the answer. 2. 7 units 3. 2 units 4. 5 units

worty [1.4K]

The law of sine is the nothing but the relationship between the sides of the triangle to the angle of the triangle (oblique triangle).

The value of the $z$ is 3.2 (rounded to the nearest tenth). The option 2 is the correct option.

<h3>What is law of sine?</h3>

The law of sine is the nothing but the relationship between the sides of the triangle to the angle of the triangle (oblique triangle).

It can be given as,

$\dfrac{\sin A}{a} =\dfrac{\sin B}{b} =\dfrac{\sin C}{c}$

Here $A,B,C$ are the angle of the triangle and $a,b,c$ are the sides of that triangle.

Given information-

The triangle for the given problem is attached below.

In the triangle the base of the triangle is 2.6 units long.

The sine law for the given triangle can be written as,

$\dfrac{\sin X}{x} =\dfrac{\sin Y}{y} =\dfrac{\sin Z}{z}$

As the value of $y$ side is known and the value of $z$ has to be find. Thus use

$\dfrac{\sin Y}{y} =\dfrac{\sin Z}{z}$

Put the values,

$\dfrac{\sin 51}{2.6} =\dfrac{\sin 76}{z}$

Solve it for the $z$ ,

$z=\dfrac{\sin 76\times 2.6}{\sin 51}\\z=3.2462$

Hence the value of the $z$ is 3.2 (rounded to the nearest tenth). The option 2 is the correct option.

Learn more about the sine law here;

brainly.com/question/2264443

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2 years ago

What is the factored form of the polynomial?

neonofarm [45]

Answer:A on edge

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

The Golden Rectangle can be found in the modern world<br> TRUE or FALSE

Nady [450]

Based off of the notes I have, the answer is True

4 0

3 years ago

Kerry and Tya are sharing a pack of stickers. Each girl gets 11 stickers. Write and solve a division equation to find how many t

Shalnov [3]

Since each girl gets 11 sticker that means that there are 22 stickers in the pack.

11x2=22

4 0

3 years ago

Write a polynomial function of minimum degree in standard form with real coefficients whose zeros and their multiplicities inclu

Softa [21]

<u>Answer-</u>

<em>The polynomial function is,</em>

$y=x^4-10x^3+38x^2-64x+40$

<u>Solution-</u>

The zeros of the polynomial are 2 and (3+i). Root 2 has multiplicity of 2 and (3+i) has multiplicity of 1

The general form of the equation will be,

$\Rightarrow y=(x-(2))^2(x-(3+i))(x-(3-i))$ ( ∵ (3-i) is the conjugate of (3+i) )

$\Rightarrow y=(x-2)^2(x-3-i)(x-3+i)$

$\Rightarrow y=(x^2-4x+4)((x-3)-i)((x-3)+i)$

$\Rightarrow y=(x^2-4x+4)((x-3)^2-i^2)$

$\Rightarrow y=(x^2-4x+4)((x^2-6x+9)+1)$

$\Rightarrow y=(x^2-4x+4)(x^2-6x+10)$

$\Rightarrow y=x^2x^2-6x^2x+10x^2-4x^2x+4\cdot \:6xx-4\cdot \:10x+4x^2-4\cdot \:6x+4\cdot \:10$

$\Rightarrow y=x^4-10x^3+14x^2+24x^2-40x-24x+40$

$\Rightarrow y=x^4-10x^3+38x^2-64x+40$

Therefore, this is the required polynomial function.

4 0

3 years ago