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3 years ago

Simply 7/4 squared

Mathematics

2 answers:

trapecia [35]3 years ago

7 0

The answer to your question is 49/16

klemol [59]3 years ago

5 0

Answer:

0.4375

Step-by-step explanation:

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What is the length of BC in the right triangle below?

Neko [114]

Answer and Step-by-step explanation:

How to solve:

Use the Pythagorean Theorem to find the length of side BC.

Pythagorean Theorem Formula:

$A^2+B^2=C^2$

Side AB will be A, side AC will be B, and side BC will be C.

Plug in values.

$8^2+15^2 = C^2\\\\\\64 + 225 = C^2\\\\289 = C^2\\Square.root.both.sides.\\\\\sqrt{289} = C\\17 = C\\\\\\$

This means the answer is A. 17.

I hope this helps!

#teamtrees #PAW (Plant And Water)

5 0

3 years ago

The sum of two non-zero numbers a and b equals the sum of their reciprocals. If a+b≠0, what is the product of the two numbers?

Vadim26 [7]

Answer:

ab = 1

Step-by-step explanation:

A Reciprocal of a number is a number which when multiplied by the original number yields the multiplicative number, 1.

So the reciprocal of x would be x⁻¹ or ¹⁄ₓ

The information we are given states that the sum of the two non-zero numbers a and b equals the sum of their reciprocals.

So we can write this into an equation and solve,

(See image)

Once we solve, we get the equation (ab-1)(a+b) = 0

We are given info that a+b≠0

So for the above equation to be true, ab-1 has to equal 0

For this to be true, the product ab must equal 1

7 0

3 years ago

Jefferson Park sits on one square city block that measures 300ft on each side. Sidewalks join opposite corners. About how long i

Alexxandr [17]

You have a 300 feet side length square and you need to calculate the length of the diagonal. When you split the square along one diagonal you get triangles, so you can apply Pythagoras' Theorem, with the hypotenuse as the needed diagonal.
a²+b²=c²
300²+300²=c²
2*300²=c²
√(2*300²)=c
√(2) * √(300²)=c
√(2) * 300=c
c~424.26 ft which is the solution/option c

5 0

3 years ago

Where is 10 in the real number system

7nadin3 [17]

10 / 1 is a rational and which is equal to 10 so 10 is also a rational number

3 0

3 years ago

Which equation represents the circle described? (in picture)

Sedaia [141]

You are right. In circle equation we have =r² so the correct answer will be C od D. But we have to calculate the center of a circle.

$x^2+y^2-8x-6y+24=0\quad|-24\\\\(x^2-8x)+(y^2-6y)=-24$

Complete the square:

$x^2-8x+a^2\implies a=\dfrac{8x}{2x}=4\implies x^2-8x+4^2\\\\\\y^2-6y+b^2\implies b=\dfrac{6y}{2y}=3\implies y^2-6y+3^2$

And we have:

$(x^2-8x)+(y^2-6y)=-24\\\\(x^2-8x+4^2)-4^2+(y^2-6y+3^2)-3^2=-24\\\\
(x-4)^2+(y-3)^2-16-9=-24\\\\(x-4)^2+(y-3)^2-25=-24\quad|+25\\\\\boxed{(x-4)^2+(y-3)^2=1}$

So the answer is C (the same left side of equation).

6 0

3 years ago

Simply 7/4 squared ​

Simply 7/4 squared