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2 years ago

47. The legs of a triangle measure 7 mm and 24 mm. What length hypotenuse makes the triangle a right triangle?

Mathematics

1 answer:

k0ka [10]2 years ago

6 0

Answer:

Step-by-step explanation:

according to pythagorean

$7^{2} + 24^{2} =x^{2}$ (x>0)

=> $x^{2} =625$

=> $x=\sqrt{625}$ = 25

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Help!! help!! help!! help!! help!! help!! help!! help!! help!!

oksian1 [2.3K]

Answer:

Step-by-step explanation:

Given the simultaneous equation;

$\frac{a}{b} - \frac{b}{2} = 10\\a - b = 29$

From 2;

a = 29 + b ....3

Substitute 3 into 1;

$\frac{29+b}{b} - \frac{b}{2} = 10\\\frac{2(29+b)-b^2}{2b} = 10\\\frac{58+2b-b^2}{2b} = 10\\58+2b-b^2 = 20b\\b^2-2b-58 = -20b\\b^2-2b+20b -58 = 0\\b^2+18b-58 = 0\\$

Factorize

b = -18±√18²-4(-58)/2

b = -18±√324+232/2

b = -18±√556/2

b = -18±23.58/2

b = -18-23.58/2 and -18+23.58/2

b = -41.58/2 and 5.58/2

b = -20.79 and 2.79

Since a = 29 + b

when b = -20.79

a = 29 - 20.79

a = 8.21

<em>Hence the solution to the system of equation is (8.21, -20.79)</em>

7 0

2 years ago

Triangles ABC and EDC are outlined on a bridge. The triangles share vertex C and angles D and B are right angles. A new bridge s

dexar [7]

CHECK THE ATTACHED FIQURE FOR THE BRIDGE

Answer:

60 ft

Step-by-step explanation:

From the question we know that triangles ABC and EDC are in a 1:1 with this given ratio it implies that

triangles ABC and EDC are congruent then we can say

side EC = side AC

3x + 9 = 5x - 5

Then we can simplify to know value of x

3x + 14= 5x

2x = 14

x = 7

But we know that AC= 5x - 5 , then substitute value of x into it

AC = 5x + 5 = 5(7) - 5

= 35 - 5

AC= 30 ft

Also EC= 3x + 9 then substitute value of x into it

EC = 3x + 9 = 3(7) + 9

= 21 + 9

EC= 30 ft

Then the the distance between the top and bottom of the bridge, in feet, = EC+AC

= 30 + 30 = 60 ft

4 0

2 years ago

Oscar says to Vanesa: "I am five times the age you were when I was the age you are; and when you are the age I am, our ages will

Gemiola [76]

Answer:

Vanessa is 60 and the other person is 12

Step-by-step explanation:

X + 5x = 72

6x = 72

x = 12

12 x 5 = 60

vanessa is 60

the other person is 12

60 + 12 = 72

3 0

2 years ago

Read 2 more answers

I have been stuck on the problem for so long. please help me:

Xelga [282]

Answer:

D-2

Step-by-step explanation:

You can use elimination to get the value of y. Move numbers to one side and x and ys to the other side. To use elimination, multiply the first equation with 2. You will get 2x+2y=24. add it with the equation below. y will be eliminated and you will get the value of x. X=10. Plug in x and get the y value. Y=2

6 0

2 years ago

amir lent Rs. 600 to hameed for 2 years and Rs. 150 to aman for 4 year and received altogether from both Rs. 90 as simple intere

aniked [119]

Interest = Pin = principal * interest rate * number of years

Let interest rate be i, then
600*i*2+150*i*4=90
1200i+600i = 90
i=90/(1200+600)=90/1800=1/20=0.05 or 5%

8 0

2 years ago