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3 years ago

5

An eagle is flying at a height of 275 feet and climbing at a rate of 65 feet per second. The equation for the height of the bird

y is y=275+65x,where x is the number.of seconds in flight. What do the slope and y- intercept represent? why?

1 answer:

77julia77 [94]3 years ago

7 0

The slope represents the how fast the bird is climbing and the Y intercept represents where the bird started to climb

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2)<br> A circle has a radius of 8 cm. What is its circumference?<br> 8 cm

egoroff_w [7]

Answer

16π cm ≈ 50.2655 cm

Step-by-step explanation

To find the circumference of a circle, we can use the equation C = 2πr.

C stands for the circumference while r stands for the radius. We can see that there is a proportional positive linear relationship between radius and circumference for all circles, and that to find circumference when we have a radius value, we multiply the radius value by 2π.

The value of π, also called pi, is a constant and is the ratio of a circle's circumference to its diameter (the diameter is twice the radius, hence the 2 in the equation). Note that π is a constant and applies to all circles because all circles are similar.

Since we know the value of r, or the radius, given as 8 cm in the question, we can plug this value into the equation C = 2πr from earlier.

C = 2πr (plug in 8 cm for the radius)

C = 2π * 8

C = 16π cm

Since the radius is in units of cm (centimeters), the circumference is also in units of cm (centimeters).

16π cm is the exact value of the circumference. However, if we want this circumference in decimal form, we would multiply 16 by the decimal form of π which is approximately 3.1416. Note that π actually has an infinite amount of decimals and that this 3.1416 is actually a rounded π value

C = 16π

C ≈ 16 * 3.1416

C ≈ 50.2655 cm rounded to four decimal places

6 0

3 years ago

The sides of a triangle are 7, 4, n. If n is an integer, state the largest and smallest possible values of n.

Sladkaya [172]

Answer:

4, 10

Step-by-step explanation:

The value for the third side of the triangle is given by

b-a < n < b+a where a and b are the two other sides of the triangle and b>a

7-4 < n < 7+4

3 < n < 11

Since n is an integer

4 would be the smallest value and 10 would be the largest

8 0

3 years ago

Read 2 more answers

Lulu has to buy paper towels. She can buy 3 rolls for $2.97, 12 rolls for $10.80, or 20 rolls for $18.40. Assuming all the rolls

Maru [420]

The 12 rolls for 10.80 I’m guessing

6 0

3 years ago

Read 2 more answers

Express in kg: 3470 grams<br>4 kg 8 g

Airida [17]

Answer:

Step-by-step explanation:

This Makes no sense but this is 4kg and 8g converted to Kg :

4kg - 8g = 4.008 kg

8 0

3 years ago

Find the area of the following polygon:

Masja [62]

Given:

ABCD is a quadrilateral

AC = 12, DE = 4 and FB = 5

To find:

The area of the polygon.

Solution:

AC bisects the quadrilateral into two triangles.

Area of triangle:

$$A=\frac{1}{2}\times\text{base}\times\text{height}$

<u>Area of triangle DAC:</u>

$$A=\frac{1}{2}\times AC \times DE$

$$A=\frac{1}{2}\times 12 \times 4$

$A=24$

Area of triangle DAC = 24 square units.

<u>Area of triangle BAC:</u>

$$A=\frac{1}{2}\times AC \times FB$

$$A=\frac{1}{2}\times 12 \times 5$

$A=30$

Area of triangle BAC = 30 square units.

Area of polygon = Area of triangle DAC + Area of triangle BAC

= 24 square units + 30 square units

= 54 square units

The area of the polygon is 54 square units.

3 0

3 years ago