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Svetlanka [38]
3 years ago
13

What is the solution set for 5(3 – x) < – 2x +6 ?

Mathematics
1 answer:
maks197457 [2]3 years ago
4 0

5(3 - x) <  - 2x + 6

15 - 5x <  - 2x + 6

15 - 6 <  - 2x + 5x

9 < 3x

\frac{9}{3}  < x

3 < x

All real numbers greater than 3

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Need help asap willing to give a lot of points!
Zielflug [23.3K]

Answer:

\fbox {See below} \downarrow

Step-by-step explanation:

<u>Question 1</u>

<u>Part (a)</u> :

⇒ 6 × 6 × 6 × 6 × 6 × 6 × 6 = 6ˣ

⇒ 6⁷ = 6ˣ

⇒ x = 7

<u>Part (b)</u> :

⇒ y² = 169

⇒ √y² = √169

⇒ y = ± 13

⇒ y = 13, y = -13

<u>Question 2</u>

<u>Part (a)</u> :

⇒ (√5)² × (√3)²

⇒ 5 × 3

⇒ 15

<u>Part (b)</u> :

⇒ (∛9)³ × (√30)²

⇒ 9 × 30

⇒ 270

8 0
2 years ago
The formula for the area of a triangle is A = ½ bh.
Triss [41]

Answer:

  1. 63 ft²
  2. h = 2A/b; h = 7 ft

Step-by-step explanation:

1. Put the values where the variables are in the formula, then do the arithmetic.

... A = (1/2)bh = (1/2)(18 ft)(7 ft) = 63 ft²

2. Divide by the coefficient of h. Substitute the given values and do the arithmetic.

... A = (1/2)bh

The coefficient of h is b/2, so we divide by that—or multiply by its inverse, 2/b.

... 2A/b = h

Substituting the given numbers, you have ...

... 2(28 ft²)/(8 ft) = h = 7 ft

The height of the triangle is 7 ft.

3 0
4 years ago
How to solve these two problems ?
puteri [66]

8)  \theta is -0.896 radians

9) length of arc is 41.91 cm

Solution:

8)

Given that,

tan\ \theta = \frac{-5}{4}

\theta is in quadrant 4

To find: \theta

From given,

tan\ \theta = \frac{-5}{4}\\\\\theta = tan^{-1} \frac{-5}{4}\\\\\theta = tan^{-1} (-1.25)\\\\\theta = -51.34

Thus value of \theta is -51.34 degrees

Convert degrees to radians

-51.34\ degree = -51.34 \times \frac{ \pi }{180}\ radian\\\\-51.34\ degree = -0.896\ radian

Thus \theta is -0.896 radians

9)

From given,

radius = 15.4 cm

\theta = \frac{13 \pi }{15}

<em><u>The length of arc when angle in radians is:</u></em>

arc\ length = r \times \theta\\\\arc\ length = 15.4 \times \frac{ 13 \pi }{15}\\\\arc\ length = 15.4 \times 2.721\\\\arc\ length = 41.91

Thus length of arc is 41.91 cm

4 0
3 years ago
2/3 of a pizza was left over. A group of friends divided the leftover pizza into pieces each
e-lub [12.9K]

Answer:

We can't directly answer it without the number of friends, so it would need to be a variable.

A=number of friends. X= slices

2/3 ÷ a = x

6 0
3 years ago
Please help me thank you
telo118 [61]

The answer is ...

Parallel

7 0
3 years ago
Read 2 more answers
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