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2 years ago

A triangle has sides with lengths of 5 meters, 12 meters, and 13 meters. Is it a right triangle?

Mathematics

1 answer:

Setler [38]2 years ago

7 0

Answer:

yes :

use the following formula :

a^2 +b^2 = c^2

now apply it to the problem :

5^2+12^2=13^2

do the exponent :

25 + 144 =169

now add

169 =169

if they are equal , then it is a right triangle .

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A truck that is 10 ft. by 12 ft. by 8 ft. carries cube shaped boxes that have a

dedylja [7]

Answer:

284.4

Step-by-step explanation:

Divide all numbers by 1.5. example: (10)1.5(12)1.5(81.5= 284.444444 but I rounded it to 284. You're welcome

4 0

3 years ago

Rewrite the slope-intercept form equation into standard form.<br> y = 5/2

Dahasolnce [82]

2y = 5 hope this helps :)

4 0

3 years ago

A circle has centre (3,0) and radius 5. The line y = 2x + k intersects the circle in two points. Find the set

lara [203]

A circle with center $(3,0)$ and radius $5$ has equation

$(x-3)^2+y^2=25 \iff x^2 + y^2- 6 x = 16$

If we substitute $y=2x+k$ in this equation, we have

$x^2+(2x+k)^2-6x=16 \iff 5x^2+(4k-6)x+k^2-16=0$

This equation has two solutions (i.e. the line intersects the circle in two points) if and only if the determinant is greater than zero:

$\Delta=b^2-4ac=(4k-6)^2-4\cdot 5\cdot (k^2-16)>0$

The expression simplifies to

$-4 (k^2 + 12 k - 89)>0 \iff k^2 + 12 k - 89$

The solutions to the associated equation are

$k^2 + 12 k - 89=0 \iff k=-6\pm 5\sqrt{5}$

So, the parabola is negative between the two solutions:

$-6-5\sqrt{5}$

8 0

3 years ago

Question is in the picture

SSSSS [86.1K]

Answer:

reflection

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

Tia cut 4 meter 8 centimeter wire into 10 equal pieces. Marta cut 540 centimeter wire into 9 equal pieces . How much longer is o

saveliy_v [14]

Answer:

19.2 centimeters

Step-by-step explanation:

Tia cut a 4 meter and 8 centimeter wire, converting this measure to centimeters

$4m + 8 cm = 400cm + 8cm =408 cm$

and she cut it into 10 equal pieces, thus each piece measures:

$\frac{408cm}{10}=40.8cm$ .

Martha has a wire of 540 centimeter wich she cutted into 9 equal pieces, so each piece measures:

$\frac{540cm}{9} =60cm$

The difference between the two wires is:

$60cm - 40.8cm=19.2cm$

7 0

2 years ago