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IRINA_888 [86]
3 years ago
13

A cheetah spots a gazelle 300 meters away. The cheetah begins to chase the gazelle at a rate of 18 meters per second at the same

time the gazelle begins to run aways at a rate of 16 meters per second. Which equation represents the time, t, for the cheetah to reach the gazelle?

Mathematics
1 answer:
Rina8888 [55]3 years ago
8 0
The cheetah runs 2 meters/sec faster than the gazelle.  Eventually the cheetah will overcome the gazelle.  Since distance = rate times time, time = distance/rate.

Thus, 

300 meters / (2 meters/sec) = 150 sec = 2 min 30 sec
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3 0
3 years ago
there are 20 children at a library 6 of the children have an average age of five years the remaining children have an average ag
Gelneren [198K]
20 total

6 have average of 5 years
6 x 5 = 30

20-6 = 14

14 have average of 8 years

14 x 8 = 112

112 + 30 = 142

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8 0
3 years ago
Read 2 more answers
In figure find the area of the red part.​
larisa [96]

Step-by-step explanation:

Given : A rectangle 4 x 8 , a semicircle

Diagonal intersecting semicircle  

To Find :Area of red part

<h3>Solution:</h3>

Angle AC make AB   α = ∠BAC

tan α = BC/AB = 4/8 = 1/2

=> α = 26.565°

∠ECA = ∠BAC = α

EC = EF = 4

=> ∠CEF = 180° - 2α

∠AED = 45°  as   AE is  diagonal of Square of side  4

=> ∠AEF  + 180° - 2α + 45° = 180°

=>  ∠AEF =  2α - 45°  = 8.13°

in Left side area  between square  and circle is split in 2 Equal parts

(1/2) area - area AFG = area of Red part

in Left side area  between square  and circle  = 4² - (1/4)π4²

= 3.4336 sq unit

half  =  1.7168 sq unit  

Now find area AFG = area ΔAEF - sector EGF

area ΔAEF  

AE = 4√2  , EF = 4    angle = 8.13°

area ΔAEF   = (1/2) 4√2 * 4 sin 8.13° = 1.6 sq unit

area  sector EGF  = (8.13/360)π4² = 1.135  sq unit

area AFG  = 1.6 - 1.135  = 0.465 sq unit

Area of Red part = 1.7168 - 0.465 sq unit

= 1.2518 sq unit

= 1.252  sq unit

= 1.25 sq unit.

Hope this helps!!

5 0
2 years ago
Read 2 more answers
How are polynomials like and unlike monomials? Provide an example of a monomial and an example of a polynomial. How does the fol
Ainat [17]
A polynomial is the sum of at least one term. For example, x^3+1 is a polynomial. A monomial is a polynomial with only one term, such as 2x^2. A binomial is a polynomial with two terms, and a trinomial is one with three terms. The example you gave is a trinomial (which is also a polynomial). Degree of a polynomial is the largest sum of variable powers in any term of the polynomial. So, for example, x^2 y has degree 3, and x^3+x^2 also has degree 3. A sixth degree polynomial would be x^6-2x+1, for example.
8 0
3 years ago
What is the slope of the line that contains these points?
seraphim [82]

Answer:

8.

Step-by-step explanation:

The slope =

difference in y coordinates of 2 points / difference in coordinates of corresponding x coordinates.

So taking the first 2 points:

The slope =  (18-10) / 0 - (-1)

= 8/1

= 8.

This is confirmed by slope between the second and third points

slope = 26-18/ (1-0) = 8.

8 0
3 years ago
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