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2 years ago

Here are some of the numbers that were picked out of the bag at bingo evening:

1 answer:

8 0

16 is a square number. 4x4=16.
31 and 17 are prime numbers because only 1 and that number can be multiplied to create that number.

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In the right ΔABC, AN is the altitude to the hypotenuse. Find BN, AN, and AC, if AB=2√5 in and NC= 1 in.

kipiarov [429]

Answer:

$BN=4\ \text{in}$

$AN=2\ \text{in}$

$AC=\sqrt{5}\ \text{in}$

Step-by-step explanation:

Let $BN=x$

$BC=c$

$NC=y=1\ \text{in}$

$AB=a=2\sqrt{5}\ \text{in}$

$AC=b$

We have the relation

$\dfrac{BC}{AB}=\dfrac{AB}{BN}\\\Rightarrow \dfrac{c}{a}=\dfrac{a}{x}\\\Rightarrow c=\dfrac{a^2}{x}\\\Rightarrow x+1=\dfrac{a^2}{x}\\\Rightarrow x^2+x=20\\\Rightarrow x^2+x-20=0\\\Rightarrow x=\frac{-1\pm \sqrt{1^2-4\times 1\times \left(-20\right)}}{2\times 1}\\\Rightarrow x=4,-5$

$\boldsymbol{BN=4\ \text{in}}$

$h=\sqrt{a^2-x^2}\\\Rightarrow h=\sqrt{(2\sqrt{5})^2-4^2}\\\Rightarrow h=2\ \text{in}$

$\boldsymbol{AN=2\ \text{in}}$

$b=\sqrt{h^2+y^2}\\\Rightarrow b=\sqrt{2^2+1^2}\\\Rightarrow b=\sqrt{5}\ \text{in}$

$\boldsymbol{AC=\sqrt{5}\ \text{in}}$

8 0

2 years ago

What is $15.25,7% i really need help on this question

irina1246 [14]

Answer:

.07 * 15.25 = 1.0675

Step-by-step explanation:

4 0

3 years ago

Martin Luther King, Jr. Middle School has a bake sale, selling only cookies and cupcakes. For every 15 cookies sold, there are 7

goldfiish [28.3K]

Do u have notes cause if you do that will help.

8 0

3 years ago

Read 2 more answers

Just a tad bit more points :)

swat32

Answer:

Thx have a great day :)

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

Whats 1/5 - 1/7 please can you tell me how to work it out<br> thanks

Andrej [43]

Convert the fractions so they both have the same denominator (bottom part of the fraction)

1/5 = 7/35

This is because 5*7=35, so 1*7=7

1/7 = 5/35

This is because 7*5=35, so 1*5 =5

Then subtract the top numbers to get the answer:

$\frac{7}{35}-\frac{5}{35} = \frac{2}{35}$

3 0

3 years ago

Read 2 more answers