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3 years ago

A rectangle is 10 inches wider than it is long. The perimeter is 48 inches. what is the length and width of the rectangle?

Mathematics

1 answer:

Liula [17]3 years ago

3 0

Answer:

a) x represents length?

b) 10+x=48

d) 38 inches

Step-by-step explanation:

c) 10+x=48

subtract 10 to both sides

x=48-10

x=38

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Teachers were told that next year they would receive a percent increase in their salary. Mrs. Bennett is making $32,000 a year a

Nataly_w [17]

Answer:

7.97%

Step-by-step explanation:

Given data

Original Salary= $32,000

Increase= $2,550.00

percent increase= increase/original *100

Percent increase= 2,550.00/32000*100

Percent increase= 0.0796875*100

Percent increase= 7.97%

Hence the increase is 7.97%

6 0

3 years ago

Solve for x. 1.1x + 1.2x - 5.4 = -10

Andru [333]

Answer:

x ≈ - 1.83

Step-by-step explanation:

to solve for x in the question 1.1x + 1.2x - 5.4 = -10

we have

2.3x - 5.4 = -10

collect the like terms

2.3x = -10 + 5.4

2.3x = -4.2

divide both sides by the coefficient of x

2.3x/2.3 = -4.2/2.3

x = -1.826

x ≈ - 1.83

4 0

3 years ago

You are given the parametric equations x=2cos(θ),y=sin(2θ). (a) List all of the points (x,y) where the tangent line is horizonta

vladimir1956 [14]

Answer:

The solutions listed from the smallest to the greatest are:

x: $-\sqrt{2}$ $-\sqrt{2}$ $\sqrt{2}$ $\sqrt{2}$

y: -1 1 -1 1

Step-by-step explanation:

The slope of the tangent line at a point of the curve is:

$m = \frac{\frac{dy}{dt} }{\frac{dx}{dt} }$

$m = -\frac{\cos 2\theta}{\sin \theta}$

The tangent line is horizontal when $m = 0$ . Then:

$\cos 2\theta = 0$

$2\theta = \cos^{-1}0$

$\theta = \frac{1}{2}\cdot \cos^{-1} 0$

$\theta = \frac{1}{2}\cdot \left(\frac{\pi}{2}+i\cdot \pi \right)$ , for all $i \in \mathbb{N}_{O}$

$\theta = \frac{\pi}{4} + i\cdot \frac{\pi}{2}$ , for all $i \in \mathbb{N}_{O}$

The first four solutions are:

x: $\sqrt{2}$ $-\sqrt{2}$ $-\sqrt{2}$ $\sqrt{2}$

y: 1 -1 1 -1

The solutions listed from the smallest to the greatest are:

x: $-\sqrt{2}$ $-\sqrt{2}$ $\sqrt{2}$ $\sqrt{2}$

y: -1 1 -1 1

6 0

2 years ago

A fair number cube is rolled. what are the odds in favor of rolling a 4

irinina [24]

Number of possibilities for 1 roll = 6. Probability of rolling a 4 = 1/6. . Odds are 5 to 1 against it. 1 to 5 in favor.

3 0

3 years ago

Read 2 more answers

HELP!!! Does the graph represent a function and if so, why? No, some of the ordered pairs in this list have the same second elem

vlabodo [156]

Answer:

No, some of the ordered pair in this graph have the same first element.

Step-by-step explanation:

The relation of a function is that it expresses a dependence of one element on another. There is a one to one relation, which means that one point can not be used more then once.

Some ordered pairs in this graph have the same first element and are used more then once. So this graph can not represent a function.

3 0

3 years ago