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3 years ago

use 3.14 n for to estimate the area of a circle if the diameter is given on your answer to the nearest hundredth if necessary

Mathematics

1 answer:

s2008m [1.1K]3 years ago

8 0

Answer: The Answer is pie

Step-by-step explanation:

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Alvin is 11 years younger than Elga. The sum of their ages is 43. What is elgas age

Neporo4naja [7]

Answer:

Step-by-step explanation:

Lets assume x is Elgas' age

And y is Alvins age

we know that alvin is 11 years younger than Elga which means,

x=y+11

and the sum of their age is 43

x+y=43

solve it and you get 16

5 0

2 years ago

Given points A(-1, -2) and B(2, 4) where AP: BP=1:2, find the locus of point P.

koban [17]

Answer:

$x^2 + 4x + y^2 +8y = 0$

Step-by-step explanation:

Given

$A = (-1,-2)$

$B = (2,4)$

$AP:BP = 1 : 2$

Required

The locus of P

$AP:BP = 1 : 2$

Express as fraction

$\frac{AP}{BP} = \frac{1}{2}$

Cross multiply

$2AP = BP$

Calculate AP and BP using the following distance formula:

$d = \sqrt{(x - x_1)^2 + (y - y_1)^2}$

So, we have:

$2 * \sqrt{(x - -1)^2 + (y - -2)^2} = \sqrt{(x - 2)^2 + (y - 4)^2}$

$2 * \sqrt{(x +1)^2 + (y +2)^2} = \sqrt{(x - 2)^2 + (y - 4)^2}$

Take square of both sides

$4 * [(x +1)^2 + (y +2)^2] = (x - 2)^2 + (y - 4)^2$

Evaluate all squares

$4 * [x^2 + 2x + 1 + y^2 +4y + 4] = x^2 - 4x + 4 + y^2 - 8y + 16$

Collect and evaluate like terms

$4 * [x^2 + 2x + y^2 +4y + 5] = x^2 - 4x + y^2 - 8y + 20$

Open brackets

$4x^2 + 8x + 4y^2 +16y + 20 = x^2 - 4x + y^2 - 8y + 20$

Collect like terms

$4x^2 - x^2 + 8x + 4x + 4y^2 -y^2 +16y + 8y + 20 - 20 = 0$

$3x^2 + 12x + 3y^2 +24y = 0$

Divide through by 3

$x^2 + 4x + y^2 +8y = 0$

3 0

2 years ago

What is the probability that a customer ordered a large given that he or she ordered a cold drink?

Natalka [10]

Answer:

20%

Step-by-step explanation:

Probability=5/(5+12+8)*100=5/25*100=20%

3 0

3 years ago

Which expression have a value between 7 and 8 π+4 2II √62 √48 √56

lilavasa [31]

Answer:

square root 48

Step-by-step explanation:

It is square root 48 because it is between 7 and 8 not exactly if it was exactly 7 and 8 it would be square root 56

7 0

2 years ago

A cone has a radius of 4.96 cm and a volume of 102 cm³

horrorfan [7]

Answer:

h= 12/pi OR 3.81972

Step-by-step explanation:

$100= \frac{1}{3}5^{2}h$

$100= \frac{1}{3}\pi 25h$

$100= \frac{25\pi h}{3}$

$\frac{12}{\pi } =h$

8 0

2 years ago

use 3.14 n for to estimate the area of a circle if the diameter is given on your answer to the nearest hundredth if necessary​

use 3.14 n for to estimate the area of a circle if the diameter is given on your answer to the nearest hundredth if necessary