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2 years ago

Find the area of triangle ABC please help asap!

Mathematics

1 answer:

Daniel [21]2 years ago

3 0

Step-by-step explanation:

The Base of the triangle= 3+6=9 units

Altitude of the triangle=6-2=4 units

Hence, Area of a triangle= Base×Altitude ×1/2

Hence, Area of the abc = 9×4×1/2=18 unit^2

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What is the value of c in the interval (5,8) guaranteed by Rolle's Theorem for the function g(x)=−7x3+91x2−280x−9? Note that g(5

jeyben [28]

Answer:

$\displaystyle c = \frac{20}{3}$

Step-by-step explanation:

According to Rolle's Theorem, if f(a) = f(b) in an interval [a, b], then there must exist at least one c within (a, b) such that f'(c) = 0.

We are given that g(5) = g(8) = -9. Then according to Rolle's Theorem, there must be a c in (5, 8) such that g'(c) = 0.

So, differentiate the function. We can take the derivative of both sides with respect to x:

$\displaystyle g'(x) = \frac{d}{dx}\left[ -7x^3 +91x^2 -280x - 9\right]$

Differentiate:

$g'(x) = -21x^2+182x-280$

Let g'(x) = 0:

$0 = -21x^2+182x-280$

Solve for x. First, divide everything by negative seven:

$0=3x^2-26x+40$

Factor:

Zero Product Property:

$x-2=0 \text{ or } 3x-20=0$

Solve for each case. Hence:

$\displaystyle x=2 \text{ or } x = \frac{20}{3}$

Since the first solution is not within our interval, we can ignore it.

Therefore:

$\displaystyle c = \frac{20}{3}$

3 0

2 years ago

A city has a population of 210,000 people. Suppose that each year the population grows by 8%. What will the population be after

Ratling [72]

Answer:

in 13 years it will be at 432,480

Step-by-step explanation:

8 0

1 year ago

Drag and drop numbers into the boxes so that the paired values are in a proportional relationship

kherson [118]

Answer:

6 goes on top of 3

4.5 goes under 9

Step-by-step explanation:

its self-explanatory

5 0

2 years ago

Kai needs to replace the strip laminate that is glued to the vertical faces on a square tabletop. The tabletop is 1.69 m2. What

son4ous [18]

Area of a square = Side x Side (length x width)

A = 1.69 m²

Length = √area of square

L = √1.69 m²

L = 1.3 m

Check Work: 1.3² = 1.3 m x 1.3m

= 1.69 m²

5 0

2 years ago

Read 2 more answers

A shirt is originally priced at $24.50 a shirt goes on sale for 30% off the original price how much money to the nearest cent do

Ainat [17]

Answer:

7.86 is the answer

Step-by-step explanation:

30% of 24.50 is 7.35.

7.35+ 7% is 7.86

7.86 to the nearest cent is 7.86

8 0

2 years ago