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3 years ago

Solve the inequality $-4x > -24.$ Give your answer in interval notation.

Mathematics

1 answer:

Scorpion4ik [409]3 years ago

6 0

Answer:

x>6 that's means x is greater than 6

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Precal : Note: Triangle may not be drawn to scale. Suppose a = 3 and A = 15 degrees

drek231 [11]

Given:

In a right triangle at B,

$\begin{gathered} a=3 \\ A=15^{\circ} \end{gathered}$

To find:

The length of the sides b and c and angle B.

Explanation:

Using the trigonometric ratio,

$\begin{gathered} sinA=\frac{a}{c} \\ \sin15^{\circ}=\frac{3}{c} \\ c=\frac{3}{\sin15^{\circ}} \\ c=11.59 \\ c\approx11.6 \end{gathered}$

Using the trigonometric ratio,

$\begin{gathered} \tan A=\frac{a}{b} \\ \tan15^{\circ}=\frac{3}{b} \\ b=\frac{3}{\tan15^{\circ}} \\ b=11.19 \\ b\approx11.2 \end{gathered}$

Using the angle sum property,

The angle B becomes,

$\begin{gathered} 90+15+B=180 \\ B=180-90-15 \\ B=75^{\circ} \end{gathered}$

Final answer:

The values are,

$\begin{gathered} b=11.2 \\ c=11.6 \\ B=75^{\circ} \end{gathered}$

3 0

11 months ago

Answer now please ‍♀️

Shtirlitz [24]

Answer:

8/15

Step-by-step explanation:

In a right triangle, where B is an acute angle, the tan B is equal to the measure of the side opposite B divided by the measure of the shorter side at B

tanB = 16/30 = 8/15

3 0

3 years ago

SOMEONE PLEASE HELP ME ASAP

Alenkinab [10]

The answer to this question is C I just worked it out on paper using a calculator

5 0

2 years ago

Read 2 more answers

If a 24-kg mass stretches a spring 15 cm, what mass will stretch the spring 10 cm

natulia [17]

Answer:

Step-by-step explanation:

This problem is borers on elasticity of materials.

according to Hooke's law,<em> "provided the elastic limit of an elastic material is not exceeded the the extension e is directly proportional to the applied force."</em>

$F= ke$