1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
DENIUS [597]
3 years ago
13

The altitude of a triangle is increasing at a rate of 1 cmymin while the area of the triangle is increasing at a rate of 2 cm2ym

in. At what rate is the base of the triangle changing when the altitude is 10 cm and the area is 100 cm2
Mathematics
1 answer:
mr_godi [17]3 years ago
7 0

Answer:

b

Step-by-step explanation:

You might be interested in
Find the equation of the line that passes through the points (-5,7) and (2,3)
Olegator [25]

Answer:

y=-\frac{4}{7}x+4\frac{1}{7}

Step-by-step explanation:

So, in order to solve this problem, I started off by drawing it out. On my graph that I have attached below, I first started out by locating the points (-5,7) and (2,3). Now, this is an optional step, but I highly encourage practicing your graphing skills by solving this problem on graph paper as well. Next, I connected the two points that I just graphed. This is the line that passes through (-5,7) and (2,3).

Now, here is where the actual solving starts. If you haven't already been taught this yet, I will introduce it to you now. I am going to find the equation of this line by filling in what I know in the equation y=mx+b, where m= the slope of the line, and b= y intercept.

Slope of the line: m= \frac{y_{1} - y_{2}  }{x_{1} - x_{2}  } = \frac{7-3}{-5-2} = \frac{4}{-7}= -\frac{4}{7}

If you haven't been taught how to find the slope of a line I recommend you find out.

Substitute the slope into the equation.

y=-\frac{4}{7} x+b\\

Now, we will solve for the 'b,' or y intercept.

We already have x and y values to use: (-5,7) or (2,3). I'll use x=2 and y=3 to solve for the y intercept.

y=-\frac{4}{7} x+b\\\\3=-\frac{4}{7} *2+b\\\\3=-\frac{8}{7} +b\\b=3+\frac{8}{7} \\b=\frac{21}{7}+\frac{8}{7}=\frac{29}{7} =4\frac{1}{7} \\b=4\frac{1}{7}

Last step: substitute the slope and y intercept into y=mx+b.

y=mx+b\\y=-\frac{4}{7}x+4\frac{1}{7}

That is the answer to this problem.

I hope this helps.

3 0
3 years ago
A circle has an area of 144л cm2. Find the circumference.
Elza [17]
24cm.........................................
8 0
2 years ago
Please answer this question now
Rashid [163]

Answer:

54

Step-by-step explanation:

To solve problems like this, always recall the "Two-Tangent theorem", which states that two tangents of a circle are congruent if they meet at an external point outside the circle.

The perimeter of the given triangle = IK + KM + MI

IK = IJ + JK = 13

KM = KL + LM = ?

MI = MN + NI ?

Let's find the length of each tangents.

NI = IJ = 5 (tangents from external point I)

JK = IK - IJ = 13 - 5 = 8

JK = KL = 8 (Tangents from external point K)

LM = MN = 14 (Tangents from external point M)

Thus,

IK = IJ + JK = 5 + 8 = 13

KM = KL + LM = 8 + 14 = 22

MI = MN + NI = 14 + 5 = 19

Perimeter = IK + KM + MI = 13 + 22 + 19 = 54

4 0
2 years ago
Li...
faltersainse [42]

The price of one vegetarian special lunch is $7 and price of one chicken special lunch is $8.

Step-by-step explanation:

Let,

Price of one vegetarian special lunch = x

Price of one chicken special lunch = y

According to given statement;

21x+40y=467      Eqn 1

28x+36y=484     Eqn 2

Multiplying Eqn 1 by 28

28(21x+40y=467)\\588x+1120y=13076\ \ \ Eqn\ 3

Multiplying Eqn 2 by 21

21(28x+36y=484)\\588x+756y=10164\ \ \ Eqn\ 4

Subtracting Eqn 4 from Eqn 3

(588x+1120y)-(588x+756y)=13076-10164\\588x+1120y-588x-756y=2912\\364y=2912

Dividing both sides by 364

\frac{364y}{364}=\frac{2912}{364}\\y=8

Putting y=8 in Eqn 1

21x+40(8)=467\\21x+320=467\\21x=467-320\\21x=147

Dividing both sides by 21

\frac{21x}{21}=\frac{147}{21}\\x=7

The price of one vegetarian special lunch is $7 and price of one chicken special lunch is $8.

Keywords: linear equation, elimination method

Learn more about elimination method at:

  • brainly.com/question/10081622
  • brainly.com/question/10341324

#LearnwithBrainly

5 0
2 years ago
Which of the following options results in a graph that shows exponential growth?
Galina-37 [17]
I know for a fact B is wrong, so you can mark that off. I got C.
6 0
3 years ago
Other questions:
  • The units of the subway map below are in miles. Suppose the routes between stations are straight. Station​ G, not shown on the​
    9·1 answer
  • What is 24/4 as a whole number
    15·1 answer
  • Last night 18 students read before bed one third of them read comic books how many students read comic books
    9·2 answers
  • The ordered pairs (0, 2) and (1,6)
    12·1 answer
  • If you take a number, times by 8 then add 6. You get the same as if you took the number multiply by 3 then subtract 7. What is t
    11·1 answer
  • Solve for x
    7·1 answer
  • E) What is the measure of
    15·1 answer
  • A square has a side length of 3x3y5. What is the area of the square?​
    8·1 answer
  • Part A: describe how you can decompose this shape into triangles. (2 points) Part B: what would be the area of each triangle? (5
    5·1 answer
  • For a standard normal distribution, find the approximate value of P (z greater-than-or-equal-to negative 1. 25). Use the portion
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!