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3 years ago

5-6 study guide and intervention graphing inequalities in two variables

Mathematics

1 answer:

Contact [7]3 years ago

4 0

Ok what’s the question?

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A sphere and a cube have equal surface areas. The length of one edge of the cube is 1.11 meters. What is the radius of the spher

Nady [450]

Answer:

0.767 m

Step-by-step explanation:

The area of a cube of edge length s is given by ...

A = 6s^2

The area of a sphere of radius r is given by ...

A = 4πr^2

When these two are equal, we have ...

6s^2 = 4πr^2

r^2 = 6s^2/(4π)

r = s·√(3/(2π)) ≈ s·0.690988

The radius of the sphere is about ...

r ≈ 0.690899×1.11 m

r ≈ 0.767 m . . . . approximate sphere radius

3 0

3 years ago

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AlladinOne [14]

Answer:

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6 0

2 years ago

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Find the area of each triangle.

lord [1]

Hi there!

We can find the area of a triangle with the formula:
$area = 0.5 \times base \times height$

Filling in this formula gives us the following answers.

Triangle 1
$area = 0.5 \times 5 \times 8 = 20$

Triangle 2
$area = 0.5 \times 7 \times 9 = 31.5$

Triangle 3
$area = 0.5 \times 16 \times 12 = 96$

8 0

3 years ago

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Find the dimensions of the rectangle

hoa [83]

(a) The sum of length and width is half the perimeter, so the breadth in terms of length (x) in cm will be
.. breadth = 34 -x

(b) Then the expression for the area (in cm^2) is
.. area = length*breadth
.. 253 = (x)(34 -x)
.. x^2 -34x +253 = 0 . . . . . subtract the right side, eliminate parentheses
.. (x -11)(x -23) = 0 . . . . . . . factor
.. x = 11 or 23

The dimensions of the rectangle are 11 cm by 23 cm.

7 0

3 years ago

Question 4(Multiple Choice Worth 1 points) (07.04 LC) Factor completely 49x2 − 9. (7x + 3)(7x − 3) (7x + 3)(x − 3) (7x − 3)(7x −

scoundrel [369]

Answer:

Step-by-step explanation:

We take a look at this expression: $49x^2-9$ and notice that both terms are square numbers. $49x^2=(7x)^2$ and $9=3^2$ .

There is a specific formula that I highly recommend you memorize involving differences of squares. It states that given the difference of squares $a^2-b^2$ , it can always be factored into $(a+b)(a-b)$ .

Here, we can apply that. In this case, a = 7x and b = 3. So:

$49x^2-9=(7x)^2-3^2=(7x+3)(7x-3)$

Thus, the answer is A.

Hope this helps!

6 0

3 years ago

Read 2 more answers