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3 years ago

What is the length of the hypotenuse of the triangle?

Mathematics

2 answers:

sergey [27]3 years ago

8 0

If you use the pothaorian theorym (A squared + B squared= C squared) youll be able to figure out the right answer is 65.

Brut [27]3 years ago

4 0

Answer:

Option D is correct.

Step-by-step explanation:

The hypotenuse of the given right triangle can be found using Pythagoras theorem.

$a^{2} +b^{2} =c^{2}$ where c is the hypotenuse and a and b are other sides f the triangle.

So, here lets say the hypotenuse is c.

So, we get ;

$7^{2} +4^{2} =c^{2}$

=> $49+16 =c^{2}$

=> $65 =c^{2}$

=> $c=\sqrt{65}$

Hence, option D is correct.

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Listed are the distances traveled by four cars and the time it took each car to cover that distance. Identify which cars travele

Eddi Din [679]

Where is the list will all of this the list is needed

6 0

3 years ago

Can someone solve this so that i can confirm that I’m doing it right?

Svetach [21]

Answer:

Below in bold.

Step-by-step explanation:

x /18 = 12/10

10x = 18*12

x = 216/ 10

= 21.6.

10/w = 18/24

10/w = 3/4

3w = 40

w = 40/3 = 13 33 to the neaest hundredth.

6 0

2 years ago

4. k/6 = 8/16 5. 5.4/7 = 27/h 6. 8/11 = 4/y+2

kupik [55]

Answer:

4. $k=3\\$

5. $h=35$

6. $\frac{7}{2}$ or 3.5

Step-by-step explanation:

$\frac{k}{6}=\frac{8}{16}$

Multiply those 2 values whose diagonal has both terms and divide by the term whose diagonal has the variable.

$k=\frac{8*6}{16}\\ k=\frac{48}{16}\\ k=3$

-----------------------------------------------------------------------

$\frac{5.4}{7}=\frac{27}{h}$

$h=\frac{7*27}{5.4} \\h=\frac{189}{5.4}\\ h=35$

-------------------------------------------------------------------------

$\frac{8}{11}=\frac{4}{y+2}$

$y+2=\frac{11*4}{8}\\ y=\frac{11*4}{8}-2\\y=\frac{44}{8}-2 \\y=\frac{11}{2}-2\\ y=\frac{11-2*2}{2}\\ y=\frac{11-4}{2}\\ y=\frac{7}{2}=3.5$

7 0

3 years ago

State a true conclusion.

xxTIMURxx [149]

Answer:

The conclusion is "Plane R and Plane S form a line if they intersect."

Step-by-step explanation:

Consider the provided statements.

1) If two planes intersect, their intersection is a line.

2) Plane Rand plane S intersect.

If two points lie in a plane, then the line joining them lies in that plane.

If two planes intersect, then their intersection is a line.

For better understanding refer the figure:

There are two planes R and S, which intersect at the line l.

Since the given two planes intersect, the using the above fact we can say that their intersection is a line.

Thus, the conclusion is "Plane R and Plane S form a line if they intersect."

3 0

3 years ago

X-y=6<br> 2x-3z=16<br> 2y+z=4<br><br> Solve the systems of equations.

Neko [114]

Answer:

Given System of equation:

x-y =6 .....,[1]

2x-3z = 16 ......[2]

2y+z = 4 .......[3]

Rewrite the equation [1] as

y = x - 6 .......[4]

Substitute the value of [4] in [3], we get

$2(x-6)+z = 4$

Using distributive property on LHS ( i.e, $a \cdot (b+c) =a \cdot b+ b \cdot c$ )

then, we have

2x - 12 +z =4

Add 12 to both sides of an equation:

2x-12+z+12=4+12

Simplify:

2x +z = 16 .......[5]

On substituting equation [2] in [5] we get;

2x+z=2x -3z

z = -3z

Add 3z both sides of an equation:

z+3z = -3z+3z

4z = 0

Simplify:

z = 0

Substitute the value of z = 0 in [2] to solve for x;

$2x-3(0) = 16$

2x = 16

Divide by 2 both sides of an equation:

$\frac{2x}{2} =\frac{16}{2}$

Simplify:

x= 8

Substitute the value of x =8 in equation [4] to solve for y;

y = 8-6 = 2

y = 2

Therefore, the solution for the given system of equation is; x = 8 , y = 2 and z =0

5 0

4 years ago