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3 years ago

A circular cookie cutter has a 2.5 inch radius what is the area of a cookie cut from this cutter

1 answer:

5 0

We know that

[area of circular cookie]=pi*r²
r=2.5 in
[area of circular cookie]=pi*2.5²----> 19.63 in²

the answer is
the area of circular cookie is 19.63 in²

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What is x given ABC~DBE.<br> Show your work

alexandr1967 [171]

x = 37.5 (or) $\frac{75}{2}$

Solution:

Given $\triangle A B C \sim \triangle D B E$

AC = 50, DE = 30, EC = 25, BE = x, BC = 25 + x

To find the value of x:

Property of similar triangles:

If two triangles are similar then the corresponding angles are congruent and the corresponding sides are in proportion.

$$\frac{BE}{BC} =\frac{DE}{AC}$

$$\frac{x}{25+x} =\frac{30}{50}$

Do cross multiplication, we get

$50x=30(25+x)$

$50x=750+30x$

Subtract 30x from both sides of the equation.

$20x=750$

Divide by 20 on both sides of the equation, we get

x = 37.5 (or) $\frac{75}{2}$

Hence the value of x is 37.5 or $\frac{75}{2}$ .

5 0

3 years ago

A deposit of $1,295 at 7% for 180 days what is the interest earned

wariber [46]

The formula is
I=prt
I interest earned?
P principle 1295
R interest rate 0.07
T time 180/365
I=1,295×0.07×(180÷365)
I=44.70

7 0

3 years ago

The Demand function for a product is given by:

VikaD [51]

Answer:

The average rate of change of Demand between 40 and 175 units sold is of -0.1045.

Step-by-step explanation:

Average rate of change:

The average rate of a function f(x) in an interval [a,b] is given by:

$A = \frac{f(b) - f(a)}{b - a}$

In this question:

$D(q) = -0.0003q^2 - 0.04q + 23.56$

What is the average rate of change of Demand between 40 and 175 units sold?

$a = 40, b = 175$ . So

$D(40) = -0.0003*40^2 - 0.04*40 + 23.56 = 21.48$

$D(175) = -0.0003*175^2 - 0.04*175 + 23.56 = 7.3725$

$A = \frac{f(b) - f(a)}{b - a} = \frac{7.3725 - 21.48}{175 - 40} = -0.1045$

The average rate of change of Demand between 40 and 175 units sold is of -0.1045.

3 0

3 years ago

An initial deposit of $7,000 earns 6.5% interest, compounded monthly. How

zavuch27 [327]

Answer:

$34,300

Step-by-step explanation:

First, we need to find how much interest is earned in one month : 7,000 * 6.5% = 455

455 is how much you gain monthly, multiply that by 12 to find the annual interest so 455 * 12 = 5,460

You then multiply that number by 5 to find the interest of the span of the 5 years

5,460 * 5 = 27,300

You add the original number to the interest with 27,300 + 7,000 = 34,300 in the account

6 0

2 years ago

Karen has $1.70 in coins. Karen has 8 coins, all of which are quarters or dimes.

kumpel [21]

x+y=8 and 25x+10y=170 are the linear equations.

x+y≤8 and 25x+10y≤170 are the inequalities.

Step-by-step explanation:

Given,

Worth of coins = $1.70 = 1.70*100 = 170 cents

Number of coins = 8

1 quarter = 25 cents

1 dime = 10 cents

Let,

x represent the number of quarters

y represent the number of dimes

1. Write an equation to represent the amount of coins Karen has.

x+y = 8

2.Write an equation to represent the value of the coins Karen has.

25x+10y=170

x+y=8 and 25x+10y=170 are the linear equations.

For inequalities, the amount cannot increase number of coins and worth but it can be less, therefore,

x+y≤8

25x+10y≤170

x+y≤8 and 25x+10y≤170 are the inequalities.

Keywords: linear equations, addition

Learn more about linear equations at:

#LearnwithBrainly

4 0

3 years ago