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2 years ago

Write a polynomial to represent the larger rectangle and the smaller rectangle.

Mathematics

1 answer:

nikdorinn [45]2 years ago

4 0

Answer:

See answers below.

Step-by-step explanation:

<u>Large Rectangle:</u><u> </u> length x width = (x + 3)(x - 4) =

x² - 4x + 3x - 12

x² - x - 12

<u>Smaller Rectangle:</u> length x width = (x)(3) = 3x

<u>Shaded Region: </u>shaded area = lg. rectangle minus small rectangle

A = (x² - x - 12) - 3x

A = x² - 4x - 12

<u>Solve for x, if shaded reion's area is 48 square units: </u>

48 = x² - 4x - 12

x² - 4x - 12 -48 = 0

x² - 4x - 60 = 0

(x - 10)(x + 6) = 0

x - 10 = 0 or x + 6 = 0

x = 10 or x = -6

But x represents a length, so x cannot be -6.

x = 10

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I need help I'm stuck on this

ddd [48]

a) The length of p is 21.4 cm

b) The measure of angle P is 45.6°

<h3>Trigonometry </h3>

From the question, we are to determine the length of p

From the <em>Pythagorean theorem</em>, we can write that

30² = 21² + p²

p² = 30² - 21²

p² = 900 - 441

p² = 459

p = √459

p = 21.4 cm

∴ The length of p is 21.4 cm

Measure of angle P

Using SOH CAH TOA

$cos P= \frac{21}{30}$

cos P = 0.7

P = cos⁻¹(0.7)

P = 45.6°

Hence, the measure of angle P is 45.6°

Learn more on Trigonometry here: brainly.com/question/17831932

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1 year ago

The answer for 10 2/3×31/8 rounded to the nearest whole number?

BigorU [14]

$10 \frac{2}{3} ( \frac{31}{8})$ can be changed into this equation:

$\frac{32}{3}( \frac{31}{8} )$

The 32 and 8 have a common factor of 8 and can be simplified to become this equation:

$\frac{4}{3} ( \frac{31}{1})$

Now multiply across to get $\frac{124}{3}$ which then simplifies to $41 \frac{1}{3}$ which as a decimal is 41.333 (repeating 3s). Nearest whole number is 41.

Your answer is 41

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3 years ago

Draw 8 lines that are between 1 inch and 3 inches long. Measure each line to the nearest fourth inch, and make a line plot.

IRISSAK [1]

The length of the line is the difference between the endpoints of the line

The length of each line to the nearest fourth inch is 0.25 inch

<h3>How to measure the length of each line</h3>

The length of the horizontal line is given as:

Length = 2 inches

This is calculated as:

Length = 3 inches - 1 inch

Length = 2 inches

8 lines are to be drawn between the 1 inch and 3 inches point.

So, the length (l) of each line is:

$l = \frac{2\ inches}{8}$

Simplify the fraction

$l = \frac{1\ inches}{4}$

Divide

$l = 0.25\ inch$

Hence, the length of each line to the nearest fourth inch is 0.25 inch

Read more about line measurements at:

brainly.com/question/14366932

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1 year ago

A court reporter is paid for her work by the hour. If she makes $75 for 5 hours of work, how much will she be paid for working 1

elena-s [515]

Answer:

Step-by-step explanation:

180 dollars is her pay because you divide 75 by 5 get 15 and multiply that by 12

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3 years ago

A rectangular carpet is x+5 feet wide and 3x-2 feet long what is the area in square feet of the carpet in terms of x

siniylev [52]

Formula for area:
Area = Wide x Length

Wide: x + 5
Long: 3x - 2

Area = (x + 5) x (3x - 2)
Area = 3x² - 2x + 15x - 10
Area = (3x² + 13x - 10) square feet

7 0

3 years ago