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3 years ago

How much greater is the 5 in the hundreds place than the 5 in the tens place

Mathematics

1 answer:

Whitepunk [10]3 years ago

7 0

The five in the hundreds place is 10 times grater than the five in the tenths place

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drawbridge at the entrance to an ancient castle is raised and lowered by a pair of chains. The figure represents the drawbridge

jasenka [17]

Answer:

4.0 meters, ∠C = 39°, ∠A = 51°

Step-by-step explanation:

Firstly, our diagram shows us that the given triangle is actually a right triangle. So we can use the <em>Pythagorean Theorem</em> to solve for the height of the chain:

$a^{2} +b^{2} =c^{2}$

$(3.3)^{2} +b^{2} =(5.2)^{2}$

$b^{2} =(5.2)^{2}-(3.3)^{2}$

$b =\sqrt{(5.2)^{2}-(3.3)^{2}}$

$b=4.0187...$

$b=4.0 m$

Now, we can use the <em>Law of Cosines</em> to figure out one of the acute angles:

$c^{2} =a^{2} +b^{2} -2ab(cos(C))$

$(3.3)^{2} =(4.0)^{2} +(5.2)^{2} -2(4.0)(5.2)(cos(C))$

$cos(C)=\frac{(3.3)^{2}-(4.0)^{2} -(5.2)^{2}}{-2(4.0)(5.2)}$

$C=cos^{-1}( \frac{(3.3)^{2}-(4.0)^{2} -(5.2)^{2}}{-2(4.0)(5.2)})$

$C=39.3915...$

∠C = 39°

And since we know that all angles in a triangle add up to 180°:

∠A + ∠B + ∠C = 180

∠A + 90 + 39 = 180

∠A = 180 - 90 - 39

∠A = 51°

However, you should always review any answers on the Internet and make sure they are correct! Check my work to see if I made any mistakes!

7 0

3 years ago

How to plot (7/2,-3/2) ?

fredd [130]

Check the picture below.

6 0

3 years ago

Read 2 more answers

What is the equation of the following line? Be sure to scroll down first to see

VladimirAG [237]

Answer:

The full answer in the media.Good luck!

3 0

3 years ago

A photograph measuring 4 inches wide and 5 inches long enlarged to make a wall mural. If the mural is 100 inches wife , how long

Andrej [43]

The answer is 5 because 5x4=20 divided by 100

6 0

3 years ago

Quadratic equation solve using formula

kiruha [24]

Answer:

2 , 1\2

Step-by-step explanation:

b² - 4ac = (-5)² - 4*2*2

= 25 - 16

= 9

$\sqrt{b^{2}-4ac} = \sqrt{9} = \sqrt{3*3}=3$

$x= \dfrac{-[-5] + 3}{2*2} ; x = \dfrac{-[-5]-3}{2*2}\\\\x =\dfrac{5+3}{4} ; x = \dfrac{5-3}{4}\\\\x=\dfrac{8}{4} ;x = \dfrac{2}{4}\\x = 2 ; x = \dfrac{1}{2}$

8 0

3 years ago