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2 years ago

Solve the inequality -2z-3<5. what is the value of z?

Mathematics

2 answers:

agasfer [191]2 years ago

8 0

Hey there!

The answer to your question is z > -4

We can solve this like it is an equation, with one exception. When you divide or multiply by a negative number, in an inequality, you have to flip the inequality sign.

-2z - 3 < 5 add 3 to both sides

-2z < 8 divide both sides by -2, and flip the inequality sign

z > -4

Good luck! Hope it helps, and have a great day!

Strike441 [17]2 years ago

6 0

Answer:

The answer is z > -4

but a line down were is the (>)

I ready!

holpe it help

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A person on a runway sees a plane approaching. The angle of elevation from the runway to the plane is 11.1° . The altitude of th

Gnoma [55]

Answer:

The horizontal distance from the plane to the person on the runway is 20408.16 ft.

Step-by-step explanation:

Consider the figure below,

Where AB represent altitude of the plane is 4000 ft above the ground , C represents the runner. The angle of elevation from the runway to the plane is 11.1°

BC is the horizontal distance from the plane to the person on the runway.

We have to find distance BC,

Using trigonometric ratio,

$\tan\theta=\frac{Perpendicular}{base}$

Here, $\theta=11.1^{\circ}$ ,Perpendicular AB = 4000

$\tan\theta=\frac{AB}{BC}$

$\tan 11.1^{\circ} =\frac{4000}{BC}$

Solving for BC, we get,

$BC=\frac{4000}{\tan 11.1^{\circ} }$

$BC=\frac{4000}{0.196}$ (approx)

$BC=20408.16$ (approx)

Thus, the horizontal distance from the plane to the person on the runway is 20408.16 ft

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ss7ja [257]

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Determine the prime factorization of 36. 62 22 · 9 22 · 32 4 · 9

larisa [96]

ANSWER
The prime factorization of 36 is
${2}^{2} \times {3}^{2}$

EXPLANATION

We want to find the prime factorization of 36.

The prime numbers that are factors of 36 are
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So we find the number of times these two prime factors will multiply to get 36.

Thus,

$36 = 2 \times 2 \times 3 \times 3$

Thus gives
$36 = {2}^{2} \times {3}^{2}$

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3 years ago

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