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3 years ago

•Use the Pythagorean Theorem c^6 = a2+ b2 •Show you work to find each missing side •

Mathematics

1 answer:

zhannawk [14.2K]3 years ago

6 0

Answer:

hypotenuse = 10

Step-by-step explanation:

If you can tell at first glance it is a 3,4,5 triangle (6,8,10)/2=(3,4,5). Then you know that c has to equal 5.

If not,

a^2+b^2=c^2

6^2+8^2=c^2

36+64=c^2

100=c^2

10=c

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Determine the ratio in which the point (–6, m) divides the join of A(–3, –1) and B(–8, 9). Also, find the value of m.

PSYCHO15rus [73]

Answer:

Ratio = 3 : 2 and value of m = 5.

Step-by-step explanation:

We are given the end points ( -3,-1 ) and ( -8,9 ) of a line and a point P = ( -6,m ) divides this line in a particular ratio.

Let us assume that it cuts the line in k : 1 ratio.

Then, the co-ordinates of P = $( \frac{-8k-3}{k+1},\frac{9k-1}{k+1} )$ .

But, $\frac{-8k-3}{k+1}$ = -6

i.e. -8k-3 = -6k-6

i.e. -2k = -3

i.e. $k = \frac{3}{2}$

So, the ratio is k : 1 i.e $\frac{3}{2} : 1$ i.e. 3 : 2.

Hence, the ratio in which P divides the line is 3 : 2.

Also, $\frac{9k-1}{k+1}$ = m where $k = \frac{3}{2}$

i.e. m = $\frac{\frac{9 \times 3}{2}-1}{\frac{3}{2}-1}$

i.e. m = $\frac{27-2}{3+2}$

i.e. m = $\frac{25}{5}$

i.e. m = 5.

Hence, the value of m is 5.

4 0

3 years ago

Read 2 more answers

PEASE HELP ASAP!!! The sum of two numbers is 58.

agasfer [191]

Answer:

y=15

x=43

(any variable can be used, I used x and y to make it easier to show)

Step-by-step explanation:

x+y=58

x-y=28

get x by its self

x=58-y

then subsitute into the other equation

(58-y)-y=28

58-2y=28

-2y=-30

y=15

sub. again

x+15=58

x=43

8 0

3 years ago

Read 2 more answers

Dan drank 7/8 of a bottle of

Anika [276]

Answer:

Dan drank 1 3/8 ths of the bottle of water

Step-by-step explanation:

since the question is asking how much water he drank altogether, it wants you to add

7/8+4/8=11/8

Dan drank 11/8 ths of the bottle of water (1 3/8)

7 0

3 years ago

Use the divergence theorem to find the outward flux of the vector field F(xyz)= 4x^2 i + 4y^2 j + 3z^2 k across the boundary of

Pavel [41]

$\vec F(x,y,z)=4x^2\,\vec\imath+4y^2\,\vec\jmath+3z^2\,\vec k\implies\nabla\cdot\vec F=8x+8y+6z$

Let $S$ be the surface of the rectangular prism bounded by the planes $x=0$ , $x=a$ , $y=0$ , $y=b$ , $z=0$ , and $z=c$ . By the divergence theorem, the integral of $\vec F$ over $S$ is given by the integral of $\nabla\cdot\vec F$ over the interior of $S$ (call it $R$ ):