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Lera25 [3.4K]
3 years ago
5

Find the solution set of the inequality \qquad52- 3x < -14.52−3x<−14.

Mathematics
2 answers:
SIZIF [17.4K]3 years ago
7 0

Answer:

52 - 3x < - 14.52 − 3x < − 14 = x ∈ ∅

Step-by-step explanation:

- 14.52 - 3x > 52 - 3x

<u>- 14.52 - 3x < - 14</u>

- 14.52 > 52

<u>- 3x < - 14 + 14.52</u>

x ∈ ∅

<u>- 3x < 0.52</u>

x ∈ ∅

<u>x > - </u>\frac{13}{75}<u />

x ∈ ∅

<em>I think that's true</em>

Anarel [89]3 years ago
5 0

Answer:

Step-by-step explanation:

add 14.52 to both sides of the inequality to cancel that value out from the middle. Then you can divide both sides by 3x to get x by itself in the middle.

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10 points
oee [108]

Answer:

x = 240 feet

Step-by-step explanation:

It is given that,

The angle of depression is 30 degrees from the bottom of the boat to a  deep sea diver at the depth of 120 ft.

We need to find the distance x the diver must  swim up to the boat. It can be calculate by applying trigonometry as follows :

\sin30=\dfrac{120}{x}\\\\x=\dfrac{120}{\sin30}\\\\x=240\ \text{feet}

So, the distance the diver must swim up to the boat is 240 feet.

6 0
3 years ago
Answer this equation: 4 3/5 - -3 2/5 + 3
horrorfan [7]

Answer:

24

Step-by-step explanation:

4\frac{3}{5} -(-3\frac{2}{5})+3

Negative and another negative makes a positive.

4\frac{3}{5}+3\frac{2}{5}+3

Add the fractions first.

7\frac{5}{5}+3

5/5 is equivalent to 1. 7 5/5 becomes 8.

8+3

Add the numbers.

24

I hope this helps!

6 0
3 years ago
Read 2 more answers
A)<br>А<br>3.6 cm<br>3.2 cm<br>B В<br>С<br>4.5 cm​
uranmaximum [27]
What is the question?
6 0
3 years ago
PLEASE HELP!!!!!!
Sholpan [36]
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8 0
3 years ago
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Find the perimeter of each of the two non congruent triangles where a=15,b=20 and a=29
Alborosie

Answer:

b. about 63.9 units and 41.0 units

Step-by-step explanation:

In question ∠a= 29° and Side of a= 15 and b= 20

Using sine rule of congruence of triangle.

⇒ \frac{a}{sin A} = \frac{b}{sin B} = \frac{c}{sin C}

⇒ \frac{15}{Sin 29} = \frac{20}{sin B}

Using value of sin 29°

⇒ \frac{15}{0.49} = \frac{20}{sin B}

Cross multiplying both side.

⇒ Sin B= \frac{20\times 0.49}{15} = 0.65

∴ B= 41°

Now, we have the degree for ∠B= 41°.

Next, lets find the ∠C

∵ we know the sum total of angle of triangle is 180°

∴∠A+∠B+∠C= 180°

⇒ 29+41+B= 180

subtracting both side by 70°

∴∠C= 110°

Now, again using the sine rule to find the side of c.

\frac{b}{SinB} = \frac{c}{SinC}

⇒\frac{20}{sin41} = \frac{C}{sin110}

Using the value of sine and cross multiplying both side.

⇒ C= \frac{20\times 0.94}{0.65} = 28.92

∴ Side C= 28.92.

Now, finding perimeter of angle of triangle

Perimeter of triangle= a+b+c

Perimeter of triangle= (15+20+28.92)= 63.9

∴ Perimeter of triangle= 63.9 units

7 0
3 years ago
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