This is a nice "rates of change" problem from Calculus.
Let the length and width of the rect. be L and W. We are given the following info:
dL/dt = 6 cm/s; dW/dt = 4 cm/s; L = 11 cm and W = 5 cm.
The area of the rect. is A = L*W. Differentiating,
dA/dt = L(dW/dt) + W(dL/dt).
Subst. the given info: dA/dt = (11 cm)(4 cm/sec) + (5 cm)(6 cm/sec).
Just evaluate this to find dA/dt: (44 + 30) cm^2/sec = 76 cm^2/sec
Answer:
Step-by-step explanation:
(6-4)/2= 2/2= 1
(7-3)/2= 4/2= 2
(1, 2)
Answer:
35
Step-by-step explanation:
Given
n (A) = 15
n (B) = 20
Students who do not like any subject = 5
Hence, number of students who would like either both or either of the two subjects = 60-5 = 55
n (A or B) = n (A) + n (B) - n (A and B)
Number of students linking both the subjects
55 - 15-20
= 55-35 = 20
Number of students linking only one subject = 60-20-5 = 35
Answer:
![2.83,2.8,2.59,2.48](https://tex.z-dn.net/?f=2.83%2C2.8%2C2.59%2C2.48)
Step-by-step explanation:
Given:
Numbers are ![\frac{28}{10}\,m,\,2.48\,m,\,\frac{259}{100}\,m,\,2.83 \,m](https://tex.z-dn.net/?f=%5Cfrac%7B28%7D%7B10%7D%5C%2Cm%2C%5C%2C2.48%5C%2Cm%2C%5C%2C%5Cfrac%7B259%7D%7B100%7D%5C%2Cm%2C%5C%2C2.83%20%5C%2Cm)
To express: each length as a decimal number in order from greatest to least
Solution:
A number which consists of a whole number part and the fractional part separated by a decimal point is known as a decimal number.
![\frac{28}{10}=2.8\\ 2.48=2.48\\\frac{259}{100}=2.59\\ 2.83=2.83](https://tex.z-dn.net/?f=%5Cfrac%7B28%7D%7B10%7D%3D2.8%5C%5C%202.48%3D2.48%5C%5C%5Cfrac%7B259%7D%7B100%7D%3D2.59%5C%5C%202.83%3D2.83)
Numbers arranged in order from greatest to least: ![2.83,2.8,2.59,2.48](https://tex.z-dn.net/?f=2.83%2C2.8%2C2.59%2C2.48)
Answer:
<u>part</u><u> </u><u>1</u><u>:</u>
see in the picture, E is the centre of the kite
1) AC = 2.EC = 40
2) CD = sqrt( ED² + EC² ) = sqrt(21² + 20²) = 29
3) ABE = 90⁰ - 51⁰ = 39⁰
4) BCE = BAE = 51⁰
<u>p</u><u>a</u><u>r</u><u>t</u><u> </u><u>2</u><u>:</u>
we have:
3x + 7 = (3x - 1 + 8x)/ 2
<=> 3x + 7 = 5.5x - 0.5
<=> 2.5x = 7.5
<=> x = 3
5) with x = 3 => UV = 3.3 - 1 = 9 - 1 = 8
6) XY = 3.3 + 7 = 9 + 7 = 16
7) TW = 8.3 = 24
<u>9</u><u>)</u><u> </u><u>t</u><u>h</u><u>e</u><u> </u><u>w</u><u>i</u><u>d</u><u>t</u><u>h</u><u> </u><u>o</u><u>f</u><u> </u><u>t</u><u>h</u><u>e</u><u> </u><u>b</u><u>a</u><u>s</u><u>e</u> is x (x > 0)
we have:
28.5 = (x + 25)/2
<=> x + 25 = 57
<=> x = 32