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Pani-rosa [81]
2 years ago
13

Can someone pls help me :))))

Mathematics
1 answer:
nirvana33 [79]2 years ago
5 0

Answer:

side length each 5√2

Step-by-step explanation:

both legs have the same length, as the triangle is a 45 - 90 45

To find one side of the triangle us the cosine of an angle is equal to the ratio of the adjacent side to the hypotenuse.

cos(A)=adj/hyp

cos(A)=adj/10

adj=cos(A) * 10

adj = 5√2

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The sum of the reciprocals of two consecutive odd integers is 24/143. find the two integers.
nordsb [41]
Let one integer be x, the consecutive odd integer is x+2
reciprocals are 1/x and 1/(x+2)
1/x +1/(x+2)=24/143
make the denominators the same:
(x+2)/[x(x+2)] +x/[x(x+2)]=24/143
143(2x+2)=24(x)(x+2)
286x+286=24x²+48x
24x²-238x-286=0
use the quadratic formula: x=22 this doesn't work because 22 is not an odd number.
or x=-2.1666666666 (this is not an integer)

weird.
4 0
3 years ago
Cynthia Besch wants to buy a rug for a room
77julia77 [94]

The length and width of the rug is 20 and 11 feet respectively

The given parameters;

dimension of the room = 19 ft by 28 ft

maximum area of rug she can afford = 220 ft²

For a uniform stripe of floor around the rug, then suppose the uniform excess length of the floor to removed from each dimension = y

(28-2x)(19-2x)=220

532-94x+4x^2=220

4x^2-94x+312=0

x=39/2,4

For x=39/2, dimensions are negative.

The uniform dimension of the floor to be covered by the maximum area of rug she can afford = (28 - 4×2) and (19 -2×4 ) = 20 and 11

Thus, the dimensions of the rug should be 20 feet and 11 feet

  • The area of a rectangle is length times breadth.
  • Area is the total squares cm occupied by a closed figure.

To learn more about area of a rectangle visit:

brainly.com/question/20693059

#SPJ9

6 0
1 year ago
Find the y-intercept of f(x) = x^3 + 3x^2 - X-3<br> HURRY
Grace [21]

Answer:

y-intercepts: (-3,0) , (-1,0) , (1,0)

Step-by-step explanation:

3 0
2 years ago
4x+11&lt;23 solve for x
jarptica [38.1K]
Let's solve your inequality step-by-step.
<span><span><span>4x</span>+11</span><23
</span>Step 1: Subtract 11 from both sides.
<span><span><span><span>4x</span>+11</span>−11</span><<span>23−11</span></span><span><span>4x</span><12
</span>Step 2: Divide both sides by 4.<span><span><span>4x</span>4</span><<span>124</span></span><span>x<3
</span><u>Answer:
</u><span>   x<<span>3</span></span>
8 0
3 years ago
What are the x-intercepts of the graph of the function defined by (x - 2)(2x + 1)?
Sonja [21]
X intercepts are 2 and -1/2
7 0
2 years ago
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