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3 years ago

Select the term that best describes the statement.

2 answers:

7 0

Conditional
if the polygon has 6 sides then it is a hexagon, is an example of condition sencece so the correct answer is conditional.

hichkok12 [17]3 years ago

6 0

Answer:

The term that best describes the given statement is given by the last option i.e.

Conditional .

Step-by-step explanation:

We are given a statement:

If a polygon has eight sides, then it is an octagon.

We know that a conditional statement which is also known as the if-then statement is a statement where one part of it is a given condition or hypothesis and the second statement is a conclusion of the first statement.

It could also be symbolized as:

If p then q

where p is the hypothesis and q is the conclusion.

Hence, the term that describes this given statement is:

Conditional.

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A playing field is rectangular with a length of 100 yards and a width of 53 yards, 1 foot. If a player runs diagonally across t

musickatia [10]

First convert yards to feet.

1 yard = 3 feet.

100 x 3 = 300 feet long.

53 x 3 = 159 + 1 = 160 feet wide.

Now use the Pythagorean theorem to find the diagonal.

x^2 = 300^3 + 160^2

x^2 = 90000 + 25600

x^2 = 115600

x = √115600

x = 340 feet

4 0

3 years ago

Last year, Jason's average in math was a 72. This year, his average is a 90. What is the percent increase in Jason's grade?

slamgirl [31]

Answer:

20% increase

Step-by-step explanation:

All you have to do is divide 72 by 90n and it will give you .8, move the decimal two places to the right to give you 80 and subtract 80 from 100 to get 20

7 0

2 years ago

Which is greater 8 1/2 or 9 1/2 and how do you put it as a expression using > < and =

aivan3 [116]

Answer: 8 1/2 is less than 9 1/2, 8 1/2< 9 1/2

7 0

3 years ago

Read 2 more answers

What is the measure of angle c in degrees? *<br> 150<br> 30<br> 90<br> 60

Dmitry [639]

Answer:

Option (2)

Step-by-step explanation:

Measure of angle formed by two tangents from a point outside the circleis half the difference of the measures of the intercepted arcs.

From the figure attached,

m∠C = $\frac{1}{2}[m(\text{major arc AB})-m(\text{minor arc AB)}]$

= $\frac{1}{2}[(360-m\widehat{AB})-m(\widehat{AB})]$

= $\frac{1}{2}[360-2m(\widehat{AB})]$

= $180-m\widehat{AB}$

= 180 - 150

= 30°

Therefore, measure of angle C will be 30°.

Option (2) is the answer.

4 0

3 years ago

How do you do this question?

ElenaW [278]

x*y' + y = 8x

y' + y/x = 8 .... divide everything by x

dy/dx + y/x = 8

dy/dx + (1/x)*y = 8

We have something in the form

y' + P(x)*y = Q(x)

which is a first order ODE

The integrating factor is $u(x) = e^{\int P(x)dx} = e^{\int (1/x) dx} = e^{\ln(x)} = x$

Multiply both sides by the integrating factor (x) and we get the following:

dy/dx + (1/x)*y = 8

x*dy/dx + x*(1/x)*y = x*8

x*dy/dx + y = 8x

y + x*dy/dx = 8x

Note the left hand side is the result of using the product rule on xy. We technically didn't need the integrating factor since we already had the original equation in this format, but I wanted to use it anyway (since other ODE problems may not be as simple).

Since (xy)' turns into y + x*dy/dx, and vice versa, this means

y + x*dy/dx = 8x turns into (xy)' = 8x

Integrating both sides with respect to x leads to

xy = 4x^2 + C

y = (4x^2 + C)/x

y = (4x^2)/x + C/x

y = 4x + Cx^(-1)

where C is a constant. In this case, C = -5 leads to a solution

y = 4x - 5x^(-1)

you can check this answer by deriving both sides with respect to x

dy/dx = 4 + 5x^(-2)

Then plugging this along with y = 4x - 5x^(-1) into the ODE given, and you should find it satisfies that equation.

6 0

3 years ago