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2 years ago

The area of a rectangle field is 1710 square feet. The length of the field is 45 feet. What is the width of the field?

Mathematics

2 answers:

andreev551 [17]2 years ago

8 0

Answer:

Step-by-step explanation:

1710/45=38

artcher [175]2 years ago

6 0

Answer:

38 = W

Step-by-step explanation:

1710 / 45 = 38

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The probability of an event is 1. What do you know about the event?

Harrizon [31]

Answer: A probability of 1 means the event is certain to happen. A probably of zero means the event is certain not to happen.

3 0

2 years ago

Original price: $64; Markup: 15% what is the retail price?

Brrunno [24]

Answer:

$73.60

Step-by-step explanation:

Original price: $64

Markup: 0.15($64) = $9.60

New retail price: $64 + $9.60 = $73.60

4 0

2 years ago

The question is in the attachment.

Vesna [10]

Answer:

0.0816

Step-by-step explanation:

Given:

Total number of students = 5000
Number of students taking an online class = 1200
Number of students prefer watching baseball to football = 1700

Let O = Students taking an online class

Let B = Students prefer watching baseball to football

Therefore,

P(O) = 1200/5000 = 0.24

P(B) = 1700/5000 = 0.34

If events O and B are independent,

⇒ P(O ∩ B) = P(O) · P(B)

= 0.24 × 0.34

= 0.0816

8 0

2 years ago

Solve the initial value problems:<br> 1/θ(dy/dθ) = ysinθ/(y^2 + 1); subject to y(pi) = 1

ladessa [460]

Answer:

$-\theta cos\thsta+sin\theta = \frac{y^{2} }{2} + ln y + \pi - \frac{1}{2}$

Step-by-step explanation:

Given the initial value problem $\frac{1}{\theta}(\frac{dy}{d\theta} ) =\frac{ ysin\theta}{y^{2}+1 } \\$ subject to y(π) = 1. To solve this we will use the variable separable method.

Step 1: Separate the variables;

$\frac{1}{\theta}(\frac{dy}{d\theta} ) =\frac{ ysin\theta}{y^{2}+1 } \\\frac{1}{\theta}(\frac{dy}{sin\theta d\theta} ) =\frac{ y}{y^{2}+1 } \\\frac{1}{\theta}(\frac{1}{sin\theta d\theta} ) = \frac{ y}{dy(y^{2}+1 )} \\\\\theta sin\theta d\theta = \frac{ (y^{2}+1)dy}{y} \\integrating\ both \ sides\\\int\limits \theta sin\theta d\theta =\int\limits \frac{ (y^{2}+1)dy}{y} \\-\theta cos\theta - \int\limits (-cos\theta)d\theta = \int\limits ydy + \int\limits \frac{dy}{y}$

$-\theta cos\thsta+sin\theta = \frac{y^{2} }{2} + ln y +C\\Given \ the\ condition\ y(\pi ) = 1\\-\pi cos\pi +sin\pi = \frac{1^{2} }{2} + ln 1 +C\\\\\pi + 0 = \frac{1}{2}+ C \\C = \pi - \frac{1}{2}$

The solution to the initial value problem will be;

$-\theta cos\thsta+sin\theta = \frac{y^{2} }{2} + ln y + \pi - \frac{1}{2}$

5 0

2 years ago

What is best estimate for 31.9 divide by 4

butalik [34]

Hi there.

The best way to estimate starts by rounding.

31.9 rounds up to 32.

32/4 = 8

The best estimate for 31.9 divided by 4 is 8.

Let me know if you spot any errors :)

3 0

2 years ago

Read 2 more answers