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romanna [79]
3 years ago
14

Need help with solving right triangles again, can you guys solve for x too​

Mathematics
1 answer:
Lisa [10]3 years ago
5 0

Answer:

Step-by-step explanation:

sin\theta =\frac{5}{13}\\ \\ \theta =sin^{-1}\frac{5}{13}\\ \\ \theta =22.62^o\\ \\ \\ a=90-22.62\\ \\ a=67.38^o\\ \\ \\ 13^2=5^2+x^2\\ \\ x^2=169-25\\ \\ x^2=144\\ \\ x=\sqrt{144}\\ \\ x=12

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Use the identity (x+y)(x2−xy+y2)=x3+y3 to find the sum of two numbers if the product of the numbers is 28, the sum of the square
fgiga [73]

Answer:

Step-by-step explanation:

1) f(x) = x+y , xy = 49 --> f(x) = x+49/x

f '(x) = 1-49/x2 , x = ±√49 , choose x = +7

y = 49/x = 7

smaller = 7

larger = 7

2) Vertical Distance is difference between the two functions

V(x) = x+56 - x2, V '(x) = 1 -2x --> x = 1/2 --> V(1/2) = 56.25 <---Max Vertical distance

Boundary at -7 and 8 are less

3) I googled the equation, it is really y(n) = kn/(49+n2)

y '(n) = (k(49+n2) - 2kn2)/(49+n2) , Setting to zero, k(49+n2) -2kn2 = 0 , n = 7

4) Let x and y be the sides of the rectangle. A = xy = 37.5 Million or y = 37.5/x

The length of the fences is f(x) = 2x + 3y = 2x+112.5/x

f '(x) = 2-112.5/x2 --> x = √56.5 = 7.5 and y = 37.5/7.5 = 5 then scale by √Million

smaller = 5000 ft and larger = 7500 ft

this took me ages to work out so hopefully it helped

4 0
3 years ago
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Which sequence of transformations will verify that EFGH and quadrilateral EFGH and quadrilateral E'F'G'H are congruent?
levacccp [35]

D) EFGH moved onto E'F'G'H after rotating 180 counterclockwise around the origin and the reflecting across the y-axis.

<h3>How to carry out transformations?</h3>

From online resources gotten about this question, for quadrilateral EFGH and quadrilateral E'F'G'H to be congruent, what we must do first is to rotate 180° counterclockwise around the origin and then move EFGH onto E'F'G'H'.

The last step to get this proof of congruency is to reflect across the y-axis.

Read more about transformations at; brainly.com/question/4289712

#SPJ1

5 0
2 years ago
The area of a rectangle whose base measures 4 cm is greater than 24 cm. Which graph represents all possible values for the heigh
Bond [772]

Answer:

Whichever one shows >24

Step-by-step explanation:

Which ever one that is greater than 6

7 0
3 years ago
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I WILL GIVE BRAINLIEST TO WHOEVER IS CORRECT
Ulleksa [173]

A triangle is rotated around N to give the primed version.


A. Same shape and size -- TRUE.  Rotation doesn't change shape or size.

B. Corresponding points are equidistant to N.  That's TRUE, each point is rotated around N to get its corresponding point, which will be the same distance from N.

C. DN=D'N.  TRUE, just an example of corresponding points.

D. Corresponding side lengths unequal, FALSE.  Rotation doesn't change lengths.



7 0
3 years ago
A triangle has side lengths of 4, inches, 10 inches, and c inches.
alexdok [17]

Answer:

c<4+10

c<14

Step-by-step explanation:

can I get brainliest?

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3 years ago
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