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3 years ago

Circle O has a circumference of 88pie cm what is the radius of the circle

Mathematics

1 answer:

Snezhnost [94]3 years ago

8 0

Answer:

Step-by-step explanation:

C=2 pi r

2 pi 88 >>>>>> 88/2=44

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Suppose line segment AB has one endpoint at A(0, 0). What are the coordinates of B if (5, 3) is 1/3 of the way from A to B?

prisoha [69]

Answer:

$B(x_2,y_2)= (20,12)$

Step-by-step explanation:

Given

$A = (0,0)$

$Ratio; m : n = 1 : 3$

$Point\ at\ 1 : 3 = (5,3)$

Required

Coordinates of B

This question will be answered using line ratio formula;

$(x,y) = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})$

In this case:

$(x,y) = (5,3)$

$(x_1,y_1) = (0,0)$

$m : n = 1 : 3$

Solving for $(x_2,y_2)$

$(x,y) = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})$ becomes

$(5,3) = (\frac{1 * x_2 + 3 * 0}{1 + 3},\frac{1 * y_2 + 3 * 0}{1 + 3})$

$(5,3) = (\frac{x_2 + 0}{4},\frac{y_2 + 0}{4})$

$(5,3) = (\frac{x_2}{4},\frac{y_2}{4})$

Comparing the right hand side to the left;

$\frac{x_2}{4} = 5$ -- (1)

$\frac{y_2}{4} = 3$ -- (2)

Solving (1)

$x_2 = 5 * 4$

$x_2 = 20$

Solving (2)

$y_2 = 3 * 4$

$y_2 = 12$

Hence;

$B(x_2,y_2)= (20,12)$

5 0

3 years ago

Solve 2 log x = log 64. (1 point)

Vladimir79 [104]

Answer:

Step-by-step explanation:

2log(x)=log(64)

By logarithms properties

$xlog_{a}(b)=log_{a}(b^{x} ) \\$

log(x²)=log(64)

When you have log or ln in both sites, you delete them and...

x²=64

$\sqrt[]{x^{2} } =\sqrt{64} \\x=8$

7 0

3 years ago

As a result of a cyclone, the price of bananas rose 85% to $9.99 per kg. How much did bananas cost before the cyclone?

Karo-lina-s [1.5K]

The original price was $8.49 :)

7 0

3 years ago

The ounces of yellow paint, y, needed to mix with x ounces of blue paint to make a certain shade of green paint can be represent

alexira [117]

Answer:

The constant of proportionality of the equation is 1.5.

Step-by-step explanation:

Equation of proportional measures:

Suppose that y and x are proportional measures. This situation can be equatialized is:

y = ax

In which a is the constant of proportionality.

y = 1.5x. What is the constant of proportionality of the equation?

a = 1.5, so the constant of proportionality of the equation is 1.5.

6 0

2 years ago

The solution to 4.2x = 19.32 is x = ___. 0.28 0.45 4.6 15.12

AVprozaik [17]

The solution to this equation is x=4.6 because 19.32/4.2=4.6

8 0

2 years ago

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