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Burka [1]
2 years ago
13

HELPPPPPP ASAP What is the length of the third side of the window frame below? (5 points) (Figure is not drawn to scale.) 58a 1)

16 inches ) 2) 20 inches 3) 40 inches 4) 50 inches​

Mathematics
1 answer:
ollegr [7]2 years ago
4 0

Answer:

The answer is 3) 40.

Step-by-step explanation:

since you're working with the Pythagorean theorem, you should know that a^2+b^2=c^2, therefore, we know that we only have two sides. we have a and c. we know that a = 42 and c = 58, giving us the equation of 42^2+b^2=58^2,

we want to find b!

so we would simply subtract the two.

58^2 - 42^2 = b

b = 1600

now we want to square root,

b = sqrt1600

which in the end, gives us the answer of 40.

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two stores sell the same computer for the same orginal price. store a advertises that the computer is 25% off the orginal price.
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That means that the discounts are the same
therfor 25% of original=180
multiply both sides by 4 or divide both sides by 0.25
original=720




the equation is
0.25 times original=180


and the original price is $720
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3x + 12y = 24<br> 3x - 3y = 24
ser-zykov [4K]

what would you like me to do with these numbers????

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hoa [83]

Answer:

Part 1) x=16\ units

Part 2) x=23\ units

Part 3) AE=20\ units

Part 4) x= 6.25\ units

Part 5) x=26.67\ in

Step-by-step explanation:

Part 1) we know that

If two triangles are similar

then

the ratio of their corresponding sides are equal

so

In this problem

\frac{12}{3}=\frac{x}{4}\\\\3x=12*4\\ \\x=48/3\\ \\x=16\ units

Part 2) we know that

If two triangles are similar

then

the ratio of their corresponding sides are equal

so

In this problem

\frac{36}{12}=\frac{39}{(x-10)}\\\\3(x-10)=39\\ \\x=(39/3)+10\\ \\x=23\ units

Part 3) we know that

If two triangles are similar

then

the ratio of their corresponding sides are equal

so

In this problem

\frac{AB}{CD}=\frac{AE}{ED}

substitute the values

\frac{10}{4}=\frac{2x+10}{x+3}

2.5(x+3)=2x+10

2.5x+7.5=2x+10

2.5x-2x=10-7.5

0.5x=2.5

x=5\ units

AE=2x+10=2*5+10=20\ units

Part 4) we know that

If two triangles are similar

then

the ratio of their corresponding sides are equal

so

In this problem

\frac{4}{5}=\frac{5}{x}\\ \\4x=5*5\\ \\ x=25/4\\ \\ x= 6.25\ units

Part 5) we know that

If two triangles are similar

then

the ratio of their corresponding sides are equal

so

In this problem

\frac{30}{x}=\frac{45}{40}\\ \\45x=30*40\\ \\x=1,200/45\\ \\ x=26.67\ in



3 0
3 years ago
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DIA [1.3K]
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4 0
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If sec theta = - √30 / 3, find cos theta.<br> if sin(-theta) = -0.97, find cos (π/2 - theta).
Cloud [144]

Step-by-step explanation:

\cos \theta  =  \frac{1}{ \sec\theta }  =  -  \frac{3}{ \sqrt{30} }  =  -  \frac{3 \sqrt{30} }{30}   =  -  \frac{ \sqrt{30} }{10}

\cos( \frac{\pi}{2} -  \theta )=  \cos \frac{\pi}{2}  \cos \theta  +   \sin \frac{\pi}{2}  \sin \theta

Note that

\sin( - \theta) =  -  \sin \theta

\cos \frac{\pi}{2}  = 0 \:  \:  \:  \:  \:  \sin \frac{\pi}{2}  = 1

Therefore,

\cos( \frac{\pi}{2} -  \theta )  = 0.97

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