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3 years ago

(2) (x-7) (=3) (x+8)

2 answers:

7 0

Use the distributive property to get 2x - 14 = 3x + 24. Subtract 24 from both sides to get 2x - 38 = 3x. Subtract 2x from both sides to get -38 = x.

viva [34]3 years ago

7 0

2x - 7 = 3x + 8

Subtract 2x from both sides

-7 = x + 8

Subtract 8 from both sides

-15 = x

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Darcy read 1 and 1⁄2 chapters in her textbook in 1⁄2 an hour. How many chapters did she read per hour?

Marina86 [1]

Answer:

She read her textbook at a speed of 3 chapters per hour.

8 0

4 years ago

Instructions: Find the missing side. Round your answer to the nearest tenth.

lbvjy [14]

Using the sine ratio, the length of the missing side is: 11.8.

<h3>How to Find Missing Side Using the Sine Ratio?</h3>

The sine ratio is, sin ∅ = opposite/hypotenuse.

Given the following:

∅ = 24°

Opposite = x

Hypotenuse = 29

sin 24 = x/29

x = (sin 24)(29)

x = 11.8

Learn more about the sine ratio on:

brainly.com/question/2920412

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4 0

2 years ago

Does anyone know the answer?

azamat

Answer:

1=163 degrees

2=×=10 degrees

3=×=3

Step-by-step explanation:

54x+1+9x-10=180 we are using this expression because alternate angles add up to 180 degrees

54x+9x+1-10=180

63x-9=180

63×=180+9

63×=189

63×÷63×=189÷63×

X=3

Angle in bold print is (54x+1)

54×3=162

162+1=163 degrees

No.2 Find x

7x+35+x+65 =180

7x+x+35×65=180

8x+100=180

8x=180-100

8x=80

8x÷8x=80÷8

X=10 degrees

No.3 Find x

54x+1+9x-10=180

54x+9x+1-10=180

63x-9=180

63x=180+9

63x=189

63x÷63x=189÷63

X=3

I hope I was of help

6 0

3 years ago

Ln (1/x)+ln (2x^3)=ln3

Lapatulllka [165]

$\ln \frac{1}{x} +\ln2x^3=\ln3$
$\ln \frac{2x^3}{x} = \ln3$
$\ln2x^2=\ln3$
$2x^2=3$
$x=\sqrt{ \frac{3}{2} }$

3 0

3 years ago

A 20 ft. ladder is used against a 15 ft. wall. What is the measure of the angle made by the ladder and the ground (nearest whole

Brrunno [24]

Step-by-step explanation:

Given that,

The length of a ladder, H = 20 feet

The height of the wall, h = 15 ft

We know that,

$\sin\theta=\dfrac{h}{H}$

h is perpendicular and H is hypotenuse

So,

$\sin\theta=\dfrac{15}{20}\\\\\theta=\sin^{-1}(\dfrac{15}{20})\\\\\theta=48.59^{\circ}$

Now using Pythagoras theoerm,

$b=\sqrt{H^2-h^2}\\\\b=\sqrt{20^2-15^2}\\\\b=13.2\ ft$

Hence, the angle made by the ladder and the ground is 48.59° and the ladder is 13.2 feet from the wall on the ground.

6 0

3 years ago