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3 years ago

What is the sum of the measures of interior angles of a 15-sides polygon

Mathematics

1 answer:

oksano4ka [1.4K]3 years ago

5 0

Using
sum = (n-2)180
= (15-2)180 = 13×180 = 2340°

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The side of the base of a square prism is decreasing at a rate of 7 kilometers per minute and the height of the prism is increas

Ber [7]

Answer:

dV = - 5.73*10⁹ m³/s

Step-by-step explanation:

Question: What is the rate of change of the volume of the prism at that instant (in cubic meters per second) ?

A function can be dependent on one or more variables. The change in the function due to a change in one o its variables is given by the functions derivative with respect to that variable. For functions that are composed of products of its variables, we may use the product rule to determine its derivative.

The volume of a square prism with base a and height h is given by

V = a²h

When the base and height are changing, we have

dV = 2ah(da/dt) + a²(dh/dt)

Given

a = 4 Km

h = 9 Km

da/dt = - 7 Km/min

dh/dt = 10 Km/min

we have

dV = 2(4 Km)(9 Km)(- 7 Km/min) + (4 Km)²(10 Km/min)

⇒ dV = - 504 Km³/min + 160 Km³/min = - 344 Km³/min

⇒ dV = - 5.73*10⁹ m³/s

8 0

4 years ago

Which of the following is the best graph of the point below

Svet_ta [14]

There’s no graph belowww

3 0

3 years ago

A BUSHEL OF APPLES WEIGHS ABOUT 42 POUNDS. THERE ARE 4 PECKS OF BUSHELS. IT TAKES 2 POUNDS OF APPLES TO MAKE ONE PIE. HOW MANY P

madam [21]

Answer:

84 pies

Step-by-step explanation:

if you multiply 42 pounds by4 pecks. You get 168 pounds. and then you divide that by 2 and you can make 84 pies

7 0

3 years ago

How much times does it take for the first black/clear part to fall through the photo gate timer, starting from the rest? Plastic

Alik [6]

I can figure out this is a frefall motion.

Starting from rest => Vo = 0

Then, use the equation: d = [1/2]gt^2 => t = √(2d/g)

d = width of a black/clear stripe pair = 5cm = 0.05m

g ≈ 10 m/s^2 (the real value is about 9.81 m/s^2)

t =√(2*0.05m/10m/s^2) = 0.1 s

Answer: approximately 0.1 s

5 0

3 years ago

What is 859 under a thousand as a mixed number?

Semmy [17]

To convert the improper fraction $\frac{1000}{859}$ into a mixed number, you first want to divide the numerator (1000) by the denominator (859):
$1000 \div 859 = 1 R141$

The quotient, which is 1, will be your whole number part of your mixed number. The remainder, 141, will become the numerator of the fraction part of your mixed number. The original denominator of your improper fraction, 859, is still the denominator of your mixed number. So your mixed number form of your improper fraction is:
$\frac{1000}{859} = 1 \frac{141}{859}$

Your answer is $1 \frac{141}{859}$

6 0

3 years ago