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4 years ago

Given: ΔABC, AC = BC, AB = 3 CD⊥ AB, CD = 3 Find: AC

Mathematics

2 answers:

viva [34]4 years ago

4 0

Answer:

3 $\sqrt{5}$ /2

Step-by-step explanation:

As given, AC = BC, its an isosceles triangle.

Now, CD is perpendicular to AB, therefore AD = DB = 0.5AB = 3/2

Now take triangle ACD,

using Pythagoras theorem,

AC = $\sqrt{AD^{2} + CD^{2} }$

AC = 3 $\sqrt{5}$ /2

:-)

Aleonysh [2.5K]4 years ago

4 0

It a? Because it make more Send

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The rate of change in sales for Garmin from 2008 through 2013 can be modeled by

Zina [86]

Answer:

a) The model for the sales of Garmin is represented by $S(t) = -\frac{81}{2500}\cdot t^{3} + \frac{267}{250}\cdot t^{2} - 11.9\cdot t + 47.112$ .

b) The average sales of Garmin from 2008 through 2013 were $ 2.5 billion.

Step-by-step explanation:

a) The model for the sales of Garmin is obtained by integration:

$S(t) = -0.0972\int {t^{2}} \, dt + 2.136\int {t}\,dt -11.9 \int\,dt$

$S(t) = -\frac{81}{2500}\cdot t^{3} + \frac{267}{250}\cdot t^{2} - 11.9\cdot t + C$ (1)

Where $C$ is the integration constant.

If we know that $t = 9$ and $S(t) = 2.9$ , then the model for the sales of Garmin is:

$-\frac{81}{2500} \cdot 9^{3} + \frac{267}{250}\cdot 9^{2}-11.9\cdot (9) + C = 2.9$

$C = 47.112$

The model for the sales of Garmin is represented by $S(t) = -\frac{81}{2500}\cdot t^{3} + \frac{267}{250}\cdot t^{2} - 11.9\cdot t + 47.112$ .

b) The average sales of the Garmin from 2008 through 2013 ( $\bar{S}$ ) is determined by the integral form of the definition of average, this is:

$\bar{S} = \frac{1}{13 - 8} \cdot \int\limits^{13}_{8} {S(t)} \, dt$ (2)

$\bar S = \frac{1}{5}\cdot \int\limits^{13}_{8} {\left[-\frac{81}{2500}\cdot t^{3} + \frac{267}{250}\cdot t^{2}-11.9\cdot t + 47.112 \right]} \, dt$

$\bar S = \frac{1}{5}\cdot \left[-\frac{81}{10000}\cdot (13^{4}-8^{4}) +\frac{89}{250}\cdot (13^{3}-8^{3}) -\frac{119}{20}\cdot (13^{2}-8^{2}) +47.112\cdot (13-8) \right]$ $\bar{S} = \frac{1}{5}\cdot (-198.167+599.86-624.75+235.56)$

$\bar{S} = 2.5$

The average sales of Garmin from 2008 through 2013 were $ 2.5 billion.

7 0

3 years ago

Milo wants to make a mixture that is 50% lemon juice and 50% lime juice. How much 100% lemon juice should he add to a juice mixt

Vanyuwa [196]

Answer:

1.5gal

Step-by-step explanation:

From the given information:

50% lemon juice + 50% lime juice is the intended mixture.

Therefore, to find quantity that would be added to 20% lemon juice and 80% lime juice, let's assume this to be x.

x of 100% and 4-x gallons of the existing 20% mix

100%x + 20%(4-x) = 50%(4)

1.00x + 0.2(4-x) = 0.5(4)

1.00x + 0.8-0.2x = 2

1.00x-0.2x = 2-0.8

0.8x = 1.2

× = 1.5gal.

3 0

4 years ago

Read 2 more answers

I need to know how to do a)^

riadik2000 [5.3K]

he charges a fixed cost of $12, meaning a one-time charge of 12 bucks, plus 1.50 for each window.

1 window................ 12 + 1.5(1)

2 windows............. 12 + 1.5(2)

3 windows............. 12 + 1.5(3)

4 windows............. 12 + 1.5(4)

x windows............. 12 + 1.5(x)

$\bf \stackrel{cost}{y}=\stackrel{\stackrel{fixed}{cost}}{12}+\stackrel{\stackrel{per}{window}}{1.5x}$

$\bf \stackrel{cost}{28.50}=\stackrel{\stackrel{fixed}{cost}}{12}+\stackrel{\stackrel{per}{window}}{1.5x}\implies 16.50=1.5x\implies \cfrac{16.50}{1.5}\implies \boxed{11=x}$

7 0

3 years ago

When signing up for a new checking account you answer "No" and opt out of overdraft protection. On this day, you have $10 in you

Rus_ich [418]

Answer:

You may likely be charged an Overdraft fee or amount on each of the transactions carried out by you and you will have to repay the bank the overdrawn amount.

Step-by-step explanation:

Based on the information given we were told that you opt out of an overdraft protection which means that in a situation were you have the amount of $10 in your bank account in which you carried out some transactions with your debit card such as buying lunch for the amount of $12, movie ticket for the amount of $12 and as well dinner for the amount of $15 the end result is that their is likelihood of you to be charged an overdraft fee or an overdraft amount on each of the transaction carried out by you and secondly you will also need to repay or pay back the bank for the amount of money overdrawn which is $29 calculated as :

Amount overdrawn =[($12+$12+$15)-$10]

Amount overdrawn=$39-$10

Amount overdrawn =$29

4 0

4 years ago

In two or more complete sentences, describe the steps a consumer can take to become more knowledgeable.

Yuliya22 [10]

Answer:

#See solution for details.

Step-by-step explanation:

-A consumer is likely to become more knowledgeable when he /she follows the following steps:

Study about the labeling of any product
Study and understand the quality, potency, quantity, purity, and standard of any product
Study and understand the provisions under the Consumer Protection Act.
Study the direct and implied warranties that come with a particular product or service.

4 0

4 years ago