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3 years ago

8

The length of a rectangle is 1 less than twice the width.

2 answers:

vladimir1956 [14]3 years ago

7 0

$w-width\\2w-1-length\\w(2w-1)=2w^2-w-the\ area\\28\ ft^2-the\ area\\\\\text{The equation:}\\\\2w^2-w=28\qquad\text{subtract 28 from both sides}\\\\2w^2-w-28=0\\\\2w^2-8w+7w-28=0\\\\2w(w-4)+7(w-4)=0\\\\(w-4)(2w+7)=0\iff w-4=0\ \vee\ 2w+7=0\\\\w-4=0\qquad\text{add 4 to both sides}\\\boxed{w=4}\\\\2w+7=0\qquad\text{subtract 7 from both sides}\\2w=-7\qquad\text{divide both sides by 2}\\w=-3.5$

Alex73 [517]3 years ago

3 0

Answer:

equation = 2w^2- w- 28 =0

length =7

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3 years ago

Express the ratio in its simpilest form<br><br> 4:2:2

kotykmax [81]

The ratio in simplest form would be 1:2:2.

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3 years ago

Mrs. Wilkinson can buy a 20-ounce box of cereal for $3.60 or a 28-ounce box of cereal for $4.20. Which is the better buy?

Vsevolod [243]

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4 years ago

What is the area of the shaded portion of the circle?

SOVA2 [1]

Answer:

The first option is the correct one, the area of the shaded portion of the circle is

[/tex](5 \pi -11.6)ft^2[/tex]

Step-by-step explanation:

Let us first consider the triangle + the shadow.

The full area of the circle is the radius squared times pi, so

A= $(5 ft)^2 \cdot \pi \\25 ft^2 \cdot \pi$

Since $\frac{72^{\circ}}{360^{\circ}}=\frac{1}{5}$ , the area of the triangle + the shaded area is one fifth of the area of the whole circle, thus

$A_1=\frac{1}{5}25 ft^2 \cdot \pi\\ =5 ft^2 \cdot \pi$

If we want to know the area of the shaded part of the circle, we must subtract the area of the triangle from $A_1$ .

The area of the triangle is given by

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3 0

3 years ago

2.2.2 checkup: practice problems

aleksandr82 [10.1K]

Answer:

1. 60 degrees

2. 50 degrees

4. 49 degrees

5. 26 degrees

Step-by-step explanation:

The sum of the measures of the angles of a triangle is 180 degrees.

1.

x + 80 + 40 = 180

x + 120 = 180

x = 60

2.

x + 75 + 55 = 180

x + 130 = 180

x = 50

4.

x + 90 + 41 = 180

x + 131 = 180

x = 49

5.

x + 81 + 73 = 180

x + 154 = 180

x = 26

6 0

3 years ago