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3 years ago

A right triangle has sides that are 40 feet, 9 feet, and 41 feet. Which one of these is the hypotenuse? Explain your reasoning.

Mathematics

2 answers:

Lady bird [3.3K]3 years ago

5 0

Answer:

41 feet

Step-by-step explanation:

the biggest number will always be the hypotenuse, because it is a right trangle.

xeze [42]3 years ago

4 0

Answer:

41 feet

Step-by-step explanation:

Pythagorean theory: 9squared+40squared=41squared

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Please need help from math experts!!!! Struggling so hard…

Alenkinab [10]

Answer:

Step-by-step explanation:

A(10,10) B(b,10b)

ax-2y=30

$a)\\a(10)-2(10)=30\\10a-20=30\\10a-20+20=30+20\\10a=50$

Divide both parts of the equation by 10:

a=5

Hence,

5x-2y=30

5(b)-2(10b)=30

5b-20b=30

-15b=30

Divide both parts of the equation by -15:

b=-2

Thus,

a=5 b=-2

$b)\\A(10,10)\ \ \ \ \ \ B(-2,-20)\\ \displaystyle\\C(x_C,y_C)=(\frac{10+(-2)}{2} ,\frac{10+(-20)}{2} )\\\\C(x_C,y_C)=(\frac{10-2}{2},\frac{10-20}{2} )\\\\C(x_C,y_C)=(\frac{8}{2} ,\frac{-10}{2})\\\\C(x_C,y_C)=(4,-5)\\Hence,\ C(4,-5)$

$5x-2y=30\\5x-2y+2y=30+2y\\5x=30+2y\\5x-30=30-30+2y\\5x-30=2y\\$

Divide both parts of the equation by 2:

2.5x-15=y

$c)\\y=2.5x-15$

The equation of the perpendiqular bisector

$\boxed {y=-\frac{x}{k} +b}$

Hence,

$\displaystyle\\y=-\frac{x}{2.5}-15 \\\\y=-0.4x-15$

5 0

2 years ago

After one side of a square flower bed was enlarged by 2 ft and the the other side was enlarged by 3 ft, the area of a new flower

zlopas [31]

Answer:

6ft

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Seperate 90 into two parts so that one part is four times the other

aalyn [17]

Answer:

18 and 72

Step-by-step explanation:

the smaller part can be assigned as x while the larger will be 4x. Both numbers need to add up to 90, giving the equation: 4x+x = 90

Solve:

4x+x = 90

5x = 90

x = 18

4x = 72

5 0

2 years ago

1. a line with a slope of 1/3 passes through the point (3, 6) . which point also lies on this line?

valentina_108 [34]

1) Substituting into point-slope form, the equation of the line is y-6=⅓(x-3), which rearranges to:

y-6 = ⅓x - 1
y = ⅓x + 5

So, we can now substitute in the coordinates of each of the options to see which point lies on the line.

3 = ⅓(6) + 5 -> 3 = 7, which is false.
6 = ⅓(7) + 5 -> 6 = 22/3, which is false.
-3 = ⅓(-3) + 5 -> -3 = 4, which is false.
3 = ⅓(-6) + 5 -> 3 = 3, which is true.

So, the answer is (4) (-6, 3)

2) Substituting into point-slope form, the equation of the line is y - 5 = ¾(x-2), which rearranges to:

y - 5 = 0.75x - 1.5
y = 0.75x + 3.5

So, we can now substitute in the coordinates of each of the options to see which point lies on the line.

8 = 0.75(6)+3.5 -> 8 = 8, which is true.
9 = 0.75(5) + 3.5 -> 9 = 7.25, which is false.
1 = 0.75(-1) + 3.5 -> 1 = 2.75, which is false.
2 = 0.75(6) + 3.5 -> 2 = 8, which is false.

So, the answer is (1) (6, 8).

3 0

2 years ago

Seema bought a new pair of jeans that were on sale the original price of jeans was $56 the store had marked them down by 25% and

ohaa [14]

C. 33.60

that would be because 25% of 56 is 14 so 56-14=42
and 20% of 42 is 8.40
so 42-8.4= 33.60

$33.60 is your answer

8 0

3 years ago

Read 2 more answers