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Rus_ich [418]
3 years ago
12

3. Patricia buys a round dining room table. If the radius of the table is 3 feet, what is the area she has

Mathematics
1 answer:
Jlenok [28]3 years ago
6 0

Answer:

28 square feet

Step-by-step explanation:

Area = \pi r^{2}

Area = \pi×(3×3)

Area = 28.2743

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Please help with p and q<br> maths geometry
baherus [9]

Step-by-step explanation:

p)

in a very similar way, as the sum of all 4 angles in a triangle is always 180°, so is the sum of all angles in a quadrilateral (a polygon with 4 sides) 360°.

just look at rectangles at special representatives of such quadrilaterals.

now that we know this, we can simply say, the sum of all angles in our shape must be 360° :

(8x + 2) + (4x + 2) + (x - 2) + (5x -2) =

= 18x = 360

x = 20

A = 8×20 + 2 = 162°

B = 4×20 + 2 = 82°

C = 5×20 - 2 = 98°

D = 20 - 2 = 18°

a trapezium has the following properties (in the UK):

like other quadrilaterals, the sum of all the four angles of the trapezium is equal to 360°.

a trapezium has two parallel sides and two non-parallel sides.

the diagonals of a regular trapezium bisect each other.

in the USA for example the request for 2 parallel sides does not exist.

we have proven the point with the angle sum.

the other 2 are given by the diagram.

so, yes, it is a trapezium.

q)

the sum of all interior angles of a polygon is

(n - 2) × 180°

n being the number of d sides.

we have here a regular pentagon (5 equal sides).

the size of the angle at any vertex is then

(5 - 2) × 180 / 5 = 3 × 180 / 5 = 3×36 = 108°.

so, theta = 108°.

alpha + beta = 108°

ABE is an isoceles triangle.

so, beta = angle 1

beta + angle 1 + theta = 180

2×beta + 108 = 180

2×beta = 72

beta = 36°

therefore,

alpha = 108 - beta = 108 - 36 = 72°

4 0
1 year ago
There are currently 18 pit bulls at the pound. Of the 18 pit bulls, four have attacked another dog in the last year. Joe, a memb
laila [671]

Answer: 0.7748

Step-by-step explanation:

Given : Number of bit bulls at the pound = 18

Number of pit bulls have attacked another dog in the last year =4

The proportion of pit bulls have attacked another dog in the last year:p=\dfrac{4}{18}\approx0.22

Number of the pit bulls selected = 6

The probability of that none of the pit bulls in Joe's group attacked another dog last year :  P(0)=(1-0.22)^6=0.225199600704\approx0.2252

By using binomial , the probability that at least one of the pit bulls in Joe's group attacked another dog last year is given by :-

P(x\geq 1)=1-P(x

Hence, the required probability = 0.7748

3 0
3 years ago
Solve n÷6&gt;2<br> . Graph the solution
balu736 [363]

Answer:

n>12

Step-by-step explanation:

i just put it in symbolab

5 0
2 years ago
What is the equation of this line?<br><br><br>y = 2x<br><br>y=12x<br><br>y=−2x<br><br>y=−12x
Anna [14]
Y=2X

Looking at the line you can see that it is moving up from left to right, making it positive. So -2X and -12X are incorrect.

Next we can find the slope by putting rise over run. Chose a point on the line, I’ll use (2,4).
On this point we rise to 4 and run over to 2.
So for rise over run we have 4/2 which is 2.
So y=2x is correct.
6 0
3 years ago
What are 3 completed examples for functions?
Lyrx [107]
Example 1

Write y = x2 + 4x + 1 using function notation and evaluate the function at x = 3.

Solution

Given, y = x2 + 4x + 1

By applying function notation, we get

f(x) = x2 + 4x + 1

Evaluation:


Substitute x with 3

f (3) = 32 + 4 × 3 + 1 = 9 + 12 + 1 = 22

Example 2

Evaluate the function f(x) = 3(2x+1) when x = 4.

Solution

Plug x = 4 in the function f(x).

f (4) = 3[2(4) + 1]

f (4) = 3[8 + 1]

f (4) = 3 x 9

f (4) = 27

Example 3

Write the function y = 2x2 + 4x – 3 in function notation and find f (2a + 3).

Solution

y = 2x2 + 4x – 3 ⟹ f (x) = 2x2 + 4x – 3


Substitute x with (2a + 3).

f (2a + 3) = 2(2a + 3)2 + 4(2a + 3) – 3

= 2(4a2 + 12a + 9) + 8a + 12 – 3
= 8a2 + 24a + 18 + 8a + 12 – 3
= 8a2 + 32a + 27
3 0
3 years ago
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