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Komok [63]
2 years ago
13

Question 1(Multiple Choice Worth 4 points) (05.01)Which equation can be used to calculate the area of the shaded triangle in the

figure below? 2(14 + 8) = 44 square feet (14 + 8) = 11 square feet 2(14 × 8) = 224 square feet (14 × 8) = 56 square feet Question 2 (Fill-In-The-Blank Worth 4 points) (05.01)Debbie is making an abstract painting with two triangles. The dimensions of the painting are shown below: The total area of the two triangles is _____ square inches. Numerical Answers Expected! Answer for Blank 1: Question 3(Multiple Choice Worth 4 points) (05.01)A flower bed is in the shape of a triangle, with a base of 13 feet and a height of 5 feet. What is the area of the flower bed? 18 square feet 32.5 square feet 65 square feet 130.5 square feet Question 4 (Fill-In-The-Blank Worth 4 points) (05.01)A company makes triangular plates for individual slices of pizza. For each plate, the base is 5 inches and the height is 16 inches. The area of the top of the plate is ____ inches squared. Numerical Answers Expected! Answer for Blank 1: Question 5(Multiple Choice Worth 4 points) (05.01)Which statement best describes the area of the triangle shown below? It is one-half the area of a rectangle of length 4 units and width 2 units. It is twice the area of a rectangle of length 4 units and width 2 units. It is one-half the area of a square of side length 4 units. It is twice the area of a square of side length 4 units.
Mathematics
1 answer:
aksik [14]2 years ago
6 0

Answer:

I can't understand this what is this all stuff

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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 cm^2/
VARVARA [1.3K]

Answer:

The base is decreasing at 2 cm/min.

Step-by-step explanation:

The area (A) of a triangle is given by:

A = \frac{1}{2}bh   (1)

Where:

b: is the base

h: is the altitude = 10 cm

If we take the derivative of equation (1) as a function of time we have:

\frac{dA}{dt} = \frac{1}{2}(\frac{db}{dt}h + \frac{dh}{dt}b)

We can find the base by solving equation (1) for b:

b = \frac{2A}{h} = \frac{2*120 cm^{2}}{10 cm} = 24 cm

Now, having that dh/dt = 1 cm/min, dA/dt = 2 cm²/min we can find db/dt:

2 cm^{2}/min = \frac{1}{2}(\frac{db}{dt}*10 cm + 1 cm/min*24 cm)

\frac{db}{dt} = \frac{2*2 cm^{2}/min - 1 cm/min*24 cm}{10 cm} = -2 cm/min    

         

Therefore, the base is decreasing at 2 cm/min.

               

I hope it helps you!  

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Step-by-step explanation:

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