All categories

4 years ago

Find the exact length of the third side

Mathematics

2 answers:

velikii [3]4 years ago

4 0

Answer:

X is 8

Step-by-step explanation:

$100^{2} =6^{2} +x^{2}$

$x=8$

steposvetlana [31]4 years ago

4 0

Answer:

Step-by-step explanation:

This is a right triangle, and we know this because of the little square in the corner. Therefore, we can use the Pythagorean theorem.

a^2+b^2=c^2

a and b are the legs, and c is the hypotenuse.

We know the 6 and the unknown side are the legs, since they form the right angle. We also know that 10 is the hypotenuse, since it is opposite the right angle.

6^2+b^2=10^2

Evaluate the exponents

36+b^2=100

Now, we need to solve for b. To do this, we need to get by itself. First, subtract 36 from both sides

36-36+b^2=100-36

b^2=64

Take the square root of both sides

$\sqrt{b^2}=\sqrt{64}$

b=8

So, the the unknown side is 8

You might be interested in

assume x and y are both differentiable functions of t. find dx/dt given x=-1 and dy/dt=8 for the relation: 4x^2+3y^3=28

melomori [17]

Given:

x and y are both differentiable functions of t.

$4x^2+3y^3=28$

$x=-1\text{ and }\dfrac{dy}{dt}=8$

To find:

The value of $\dfrac{dx}{dt}$ .

Solution:

We have,

$4x^2+3y^3=28$ ...(i)

At x=-1,

$4(-1)^2+3y^3=28$

$4+3y^3=28$

$3y^3=28-4$

$3y^3=24$

Divide both sides by 3.

$y^3=8$

Taking cube root on both sides.

$y=2$

So, y=2 at x=-1.

Differentiate (i) with respect to t.

$4(2x\dfrac{dx}{dt})+3(3y^2\dfrac{dy}{dt})=0$

Putting x=-1, y=2 and $\dfrac{dy}{dt}=8$ , we get

$4(2(-1)\dfrac{dx}{dt})+3(3(2)^28)=0$

$-8\dfrac{dx}{dt}+9(4)(8)=0$

$-8(\dfrac{dx}{dt}-9(4))=0$

Divide both sides by -8.

$\dfrac{dx}{dt}-36=0$

$\dfrac{dx}{dt}=36$

Therefore, the value of $4x^2+3y^3=28$ is 36.

6 0

3 years ago

A 2-month membership to the gym costs $125. Alex would like to be a member for 1 year (12 months). What is the total amount he w

yKpoI14uk [10]

Answer:

$750

Step-by-step explanation:

We divide 12 months which is the time Alex would like to be a member by 2 which gives us 6. We know 2 months=$125 so if 2×6=12, $125×6 = A 1 year membership.

8 0

3 years ago

PLS HELP ILL GIVE BRAINLEIST ALSO ILL GIVE MANY POINTS

Novosadov [1.4K]

Answer:

Digit

Step-by-step explanation:

6 0

4 years ago

Read 2 more answers

Which side and angle is this?

MrMuchimi