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AnnZ [28]
3 years ago
5

g The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is increasing at a rate of 2 cm2

/min. At what rate is the base of the triangle changing when the altitude is 20 cm and the area is 160 cm2
Mathematics
1 answer:
horsena [70]3 years ago
5 0

Answer:

  -0.6 cm/min

Step-by-step explanation:

The formula for the area of a triangle is ...

  A = (1/2)bh

Solving for the base, we find ...

  b = 2A/h

Then the rate of change of the base is ...

  b' = 2(A'h -Ah')/h^2

Filling in the given values, we find the rate of change of the base to be ...

  b' = 2((2 cm^2/min)(20 cm) -(160 cm^2)(1 cm/min))/(20 cm)^2

  = 2(40-160)/400 cm/min

  = -0.6 cm/min

The base is decreasing at 0.6 cm/minute.

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Wesdfrgtygfyhujkilhiuh
3241004551 [841]

Answer:

i do not know what are your talking about.

Step-by-step explanation:

what!. that's my answer.

4 0
2 years ago
In this question, all lengths are in centimetres.
JulsSmile [24]

Answer:

Step-by-step explanation:

AB/AC =1/2

(3x-4)/(2x+12)=1/2

2(3x-4) = 1(2x+12)

6x-8=2x+12

4x=20

X=5

AC/BC =3x-4/7x-2=22/33=2/3

AB/AC=3x-4/7x-2=22/33=2/3

AB/AC=3x-4/2x+12

6x-8=2x+12

You would get 4/5 still trying to work out the last mark

3 0
3 years ago
Sin 7A = cos 3A, then m∠A is what?
lbvjy [14]

Answer:

m∠A = 9°

Step-by-step explanation:

\sin 7A =  \cos 3A \\  \\ \sin 7A =  \sin(90 \degree -  3A) \\  \\ 7A =  90 \degree -  3A\\  \\ 7A  + 3A=  90 \degree  \\  \\ 10A=  90 \degree  \\  \\ A =  \frac{90 \degree}{10}  \\  \\  m \angle A =9 \degree

8 0
3 years ago
Aubrey has a Shelf full of books exactly one third of books on the Shelf are Mysteries. Aubrey has read 10 of the mysteries on t
CaHeK987 [17]
The correct answer for this question is this one: "<span>147"</span>

Here's how to solve this problem.

Let  <span>x = number of mystery books on the shelf </span>
<span>Let 3x = total number of books on the shelf </span>

<span>we are told that </span>
<span>x/5<10<x/4 </span>
<span>multiply by 20, </span>
<span>4x<200<5x </span>
<span>which means that </span>
<span>40<x<50 </span>
<span>So the number of mystery books can be any number between 41 and 49.
In other words, the possible total number of books could be three times the above numbers, 123, 126, 129,.... </span>
Choose the one that suits your answer choices.

Here are the following choices:
Which could be the number of books on the shelf? 
A. 120 B 140 c 147 D 150

4 0
3 years ago
Help me asap pleaseeee
Darya [45]

Answer:

Last option is the correct choice.

Step-by-step explanation:

\frac{36}{24}=\frac{12}{x}\\\\\Rightarrow x=8

Best Regards!

3 0
3 years ago
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