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PilotLPTM [1.2K]
3 years ago
8

Find the area of a circle with a diameter of 4 . Either enter an exact answer in terms of use 3.14 3enter your answer as a decim

al.
Mathematics
1 answer:
Sphinxa [80]3 years ago
5 0

Answer:

 4pi

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

where r is the radius

The radius of a circle is found by

r =d/2 where d is the diameter

r = 4/2 = 2

So A = pi (2)^2

        pi (4)

        4pi

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In need of some help please.
Hatshy [7]
By the Pythagorean theorem
  50^2 = x^2 +(x +34)^2
  2500 = 2x^2 +68x + 1156
  x^2 +34x -672 = 0
  (x -14)(x +48) = 0
  x = 14 or -48

The distance from the wall to the base of the ladder is 14 ft.

_____
7-24-25 is a Pythagorean triple. The dimensions here are double those values. It can be handy to know a few of the Pythagorean triples, as that can let you write down the answers to problems without having to go through the equations.
8 0
3 years ago
Please help me solve this.
alexdok [17]

Answer:

Step-by-step explanation:

The slopes of parallel lines are equivalent, so you are correct.

7 0
2 years ago
What is the slope of the line below? Give an exact number
Maksim231197 [3]

Answer:

-2 by 1

Step-by-step explanation:

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4 0
3 years ago
Read 2 more answers
Here is a triangular pyramid and its net.
galben [10]

Answer:

a) Area of the base of the pyramid = 15.6\ mm^{2}

b) Area of one lateral face = 24\ mm^{2}

c) Lateral Surface Area = 72\ mm^{2}

d) Total Surface Area = 87.6\ mm^{2}

Step-by-step explanation:

We are given the following dimensions of the triangular pyramid:

Side of triangular base = 6mm

Height of triangular base = 5.2mm

Base of lateral face (triangular) = 6mm

Height of lateral face (triangular) = 8mm

a) To find Area of base of pyramid:

We know that it is a triangular pyramid and the base is a equilateral triangle. \text{Area of triangle = } \dfrac{1}{2} \times \text{Base} \times \text{Height} ..... (1)\\

{\Rightarrow \text{Area of pyramid's base = }\dfrac{1}{2} \times 6 \times 5.2\\\Rightarrow 15.6\ mm^{2}

b) To find area of one lateral surface:

Base = 6mm

Height = 8mm

Using equation (1) to find the area:

\Rightarrow \dfrac{1}{2} \times 8 \times 6\\\Rightarrow 24\ mm^{2}

c) To find the lateral surface area:

We know that there are 3 lateral surfaces with equal height and equal base.

Hence, their areas will also be same. So,

\text{Lateral Surface Area = }3 \times \text{ Area of one lateral surface}\\\Rightarrow 3 \times 24 = 72 mm^{2}

d) To find total surface area:

Total Surface area of the given triangular pyramid will be equal to <em>Lateral Surface Area + Area of base</em>

\Rightarrow 72 + 15.6 \\\Rightarrow 87.6\  mm^{2}

Hence,

a) Area of the base of the pyramid = 15.6\ mm^{2}

b) Area of one lateral face = 24\ mm^{2}

c) Lateral Surface Area = 72\ mm^{2}

d) Total Surface Area = 87.6\ mm^{2}

8 0
3 years ago
In Oakland County the fine for speeding is $15 for each mile per hour over the speed limit. Jim was fined $165 for speeding in a
shtirl [24]

Answer:

36 mph

Step-by-step explanation:

First, we have to find the unit rate of the money.

Since it's 15 dollars for each mile over the speed limit, divide 15 by 165.

The answer is 11, which means he was going 11 mph over the speed limit.

Add 11 to 25, and you get 36

7 0
3 years ago
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