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3 years ago

The diagonal of a cube is 28 cm. Identify the length of an edge. Round to the nearest tenth, if necessary. HELP PLEASE!!

Mathematics

1 answer:

makkiz [27]3 years ago

8 0

Answer:

$16.2\ cm$

Step-by-step explanation:

we know that

The diagonal of a cube is equal to

$D=b\sqrt{3}$

where

b is the length of an edge of the cube

we have

$D=28\ cm$

substitute

$28=b\sqrt{3}$

$b=28/\sqrt{3}=16.2\ cm$

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Sara has 24 sweets

Tresset [83]

<h2>Hello!</h2>

The answer is:

The expression for the number of sweets that Sara and Tim have now, are:

$Sara=(17-x)Sweets\\\\Tim=\frac{(24+x)Sweets}{2}$

To write the expressions for the number of sweets that Sara and Tim have now, we need to follow the next steps:

Sara starts with 24 sweets and Tim starts with 24 sweets

$Sara=24 Sweets\\Tim=24 Sweets$

Then, Sara gives Tim x Sweets

$Sara=(24-x)Sweets\\Tim=(24+x)Sweets$

Then. Sara eats 7 of her Sweets

$Sara=(24-x-7) Sweets\\Sara=(17-x )Sweets\\Tim=(24+x) Sweets$

Then, Tim eats half of his sweets

$Sara=(17-x)Sweets\\\\Tim=\frac{(24+x)Sweets}{2}$

So, the expression for the number of sweets that Sara and Tim have now, are:

$Sara=(17-x) Sweets\\\\Tim=\frac{(24+x)Sweets}{2}$

Have a nice day!

8 0

3 years ago

Find the x and y intercepts for the following equation. 2x– 7y=-14

Kisachek [45]

Answer:

C: Xint = 2, Yint. = -7

Step-by-step explanation:

Given the equation, 2x - 7y = -14:

The y-intercept is the point on the graph where it crosses the y-axis, and has coordinates (0, b). It is also the value of y when x = 0. To solve for the y-intercept, set x = 0:

2x - 7y = -14

2(0) - 7y = -14

0 - 7y = -14

-7y = -14

Divide both sides by -7 to solve for y:

-7y/-7 = -14/-7

y = 2

Therefore, the y-intercept = 2.

Next, the x-intercept is the point on the graph where it crosses the x-axis, and has coordinates, (a, 0). To find the x-intercept, set y = 0 and substitute into the given equation:

2x - 7y = -14

2x - 7(0) = -14

2x - 0 = -14

2x = -14

Divide both sides by 2 to solve for x:

2x/2 = -14/2

x = -7

x-intercept = -7.

Therefore, the correct answer is C: Xint = 2, Yint. = -7

Please mark my answers as the Brainliest if you find this helpful :)

7 0

2 years ago

The perimeter of the rectangle is 22 meters, and the perimeter of the triangle is 12 meters. Find the dimensions of the rectangl

lianna [129]

Answer:

Length:8 m

Width:3 m

Step-by-step explanation:

<u><em>The complete question is</em></u>

If the perimeter of a rectangle is 22 meters, and the perimeter of a right triangle is 12 meters (the sides of the triangle are half the length of the rectangle, the width of the rectangle, and the hypotenuse is 5 meters). How do you solve for L and W, the dimensions of the rectangle.

step 1

<em>Perimeter of rectangle</em>

we know that

The perimeter of rectangle is equal to

$P=2(L+W)$