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3 years ago

Find the radius of the circle

Mathematics

1 answer:

Grace [21]3 years ago

6 0

Answer:

1.5

Step-by-step explanation:

Step 1: find the semiperimeter, s, of the traingle.

Semiperimeter = ½(a + b + c)

Where:

a = 5

b = 5

c = 6

Plug in the values into the formula

s = ½(5 + 5 + 6) = ½(16) = 8

Step 2: Find the radius using the formula, $r^2 = \frac{(s - a)*(s - b)*(s - c)}{s}$

Plug in the values into the formula

$r^2 = \frac{(8 - 5)*(8 - 5)*(8 - 6)}{8}$

$r^2 = \frac{(3)*(3)*(2)}{8}$

$r^2 = \frac{18}{8}$

$r^2 = 2.25$

Take the square root of both sides

$\sqrt{r^2} = \sqrt{2.25}$

$r = 1.5$

Radius = 1.5

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There is $500 in Holly's bank account. She takes out $50 from her account each month but doesn't put money back in. What is the

galina1969 [7]

Answer:

The rate of change or slope m = -50

Step-by-step explanation:

The slope-intercept form of the line equation

$y = mx+b$

where

m is the rate of change or slope

b is the y-intercept

Given that there is $500 in Holly's bank account.

Thus, the y-intercept b = 500

It is stated that she takes out $50 from her account each month but doesn't put money back in.

It means the rate of change or slope is decreasing.

Thus, the rate of change or slope m = -50

EXTRA BONUS!

We can also determine the line equation by substituting m = -50 and b = 500 in the slope-intercept form

$y = mx+b$

y = -50x + 500

Here:

The slope m = -50

The y-intercept = 500

3 0

3 years ago

Richard’s store sells pineapples and grapefruits. Pineapples originally cost $5.15 apiece, and grapefruits originally cost $2.25

sveta [45]

Answer:

c. The price of grapefruits experienced a reduction 6.01 percentage points greater than the price of pineapples.

Step-by-step explanation:

The original price of Pineapples=$5.15

New price of Pineapples=$3.88

Find change in price of Pineapples

Change in price=original price- new price

$=5.15-3.88=1.27$

The price of Pineapple was reduced by $1.27

% reduction in price

(reduction value/original value) × 100

$=\frac{1.27}{5.15} *100=24.66$

=24.66%

The original price of grape fruits=$2.25

New price of grape fruits=$1.56

Change in price of grape fruit

Change in price= original price -new price

$=2.25-1.56=0.69$

% reduction in price of grape fruits

(reduction value/original value)×100

$=\frac{0.69}{2.25} *100=30.67$

=30.67%

Answers

The fruit that has its price reduced by a greater percentage is grape fruit

How many percentage points greater = 30.67%-24.66% = 6.01 points

5 0

4 years ago

Read 2 more answers

Find the SUm of the infinite series.

givi [52]

I'll do problem 13 to get you started.

The expression $4\left(\frac{2^n}{7^n}\right)$ is the same as $4\left(\frac{2}{7}\right)^n$

Then we can do a bit of algebra like so to change that n into n-1

$4\left(\frac{2}{7}\right)^n\\\\4\left(\frac{2}{7}\right)^n*1\\\\4\left(\frac{2}{7}\right)^n*\left(\frac{2}{7}\right)^{0}\\\\4\left(\frac{2}{7}\right)^n*\left(\frac{2}{7}\right)^{1-1}\\\\4\left(\frac{2}{7}\right)^n*\left(\frac{2}{7}\right)^{1}*\left(\frac{2}{7}\right)^{-1}\\\\4*\left(\frac{2}{7}\right)^{1}\left(\frac{2}{7}\right)^n*\left(\frac{2}{7}\right)^{-1}\\\\\frac{8}{7}\left(\frac{2}{7}\right)^{n-1}\\\\$

This is so we can get the expression in a(r)^(n-1) form

a = 8/7 is the first term of the geometric sequence
r = 2/7 is the common ratio

Note that -1 < 2/7 < 1, which satisfies the condition that -1 < r < 1. This means the infinite sum converges to some single finite value (rather than diverge to positive or negative infinity).

We'll plug those a and r values into the infinite geometric sum formula below

S = a/(1-r)

S = (8/7)/(1 - 2/7)

S = (8/7)/(5/7)

S = (8/7)*(7/5)

S = 8/5

S = 1.6

------------------------

Answer in fraction form = 8/5

Answer in decimal form = 1.6

7 0

3 years ago

Matter must have two physical properties: 1. have mass, and 2._____.

Fudgin [204]

I'm thinking Volume for 2

5 0

4 years ago

Evaluate the following expression when x = 8 3(x) + 7

Vikki [24]

Answer: 31

Step-by-step explanation: if x = 8 it would look like this

3(8) + 7

\/ \/

24 + 7

7 0

3 years ago