All categories

3 years ago

Derrick cut a square cake vertically to make two rectangle slices. Each rectangle had a perimeter of 51 inches.

Mathematics

1 answer:

PIT_PIT [208]3 years ago

8 0

Answer:

17 inches

Step-by-step explanation:

Given

$P = 51$ --- Perimeter of rectangle

Required

The length of the original square

The perimeter is calculated as

$51 = 2(L + W)$

Divide by 2

$25.5 = L + W$

The rectangle and the square have the same length.

So:

$L = 2W$

$25.5 = L + W$ becomes

$25.5 = 2W + W$

$25.5 = 3W$

Divide both sides by 3

$W = 8.5$

Recall that:

$L = 2W$

$L = 2 * 8.5$

$L = 17$

You might be interested in

one batch of vegetable soup uses 2 cups of chopped onions, 1.5 cups of celery, and 1 cup of chopped carrots. select the ratio th

kicyunya [14]

So what you need to do is add all of the veggies up. 2+1.5+1= 4.5
Then you write the ratio out. 1:4.5.
This can also be written as 2/9 or .222 repeating

7 0

3 years ago

Read 2 more answers

Pls help question b

Snowcat [4.5K]

Answer: 44

Step-by-step explanation:

1/5 of the slab are grey implies that 4/5 are yellow.

The ratio of grey to yellow is thus given as :

1/5 : 4/5

which is 1 : 4

Therefore , the ratio of grey to yellow is 1: 4

The total ratio = 1 + 4 = 5

To calculate the number of yellow , we use the formula

number of yellow = $\frac{ratio of yellow}{total ratio}$ X total number of slabs , that is

number of yellow = $\frac{4}{5}$ X 55

number of yellow slab = 44

3 0

3 years ago

I’ll give Brainly est help

mylen [45]

Answer:

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

A function f(x) is graphed on the coordinate plane.

Sidana [21]

Answer: y = - 4x + 2

Explanation:

The graph shows a linear function, which is a first degree polynomial, whose form is ax + b.

The rule or fucntion is f(x) = y = ax + b. This form is called the slope-intercept form, because the coefficient a is the slope of the line and b is the y-intercept.

The graph permits you to calculate both parameters.

1) The slope, a is defined in this way:

a = rise / run = [change in y] / [change in x] = [y₂ -y₁] / [x₂ - x₁]

you can use the points (0, - 2) and (-1,2):

⇒ a = [ 2 - (-2) ] / [ -1 - 0 ] = 4 / (-1) = - 4

2) b, the y-intercept, is the value of the function, y, when x = 0. In the graph you can see that this is - 2. b = - 2.

3) Substituting the values of a and b in the form y = ax + b, you the rule:

y = - 4x - 2

8 0

3 years ago

Read 2 more answers

Can someone help me with this? please<br><br>alguien me puede ayudar con esto? porfavorr

soldi70 [24.7K]

See attachment for the number line that compares the numbers 5.3, 5 1/5 and 5

<h3>How to plot the numbers on the number line?</h3>

The numbers are given as:

5.3, 5 1/5 and 5

We start by representing the numbers as decimals (i.e. real numbers).

So, we have:

5.3, 5.2 and 5

Reorder the numbers in ascending number (i.e. from least to greatest)

So, we have

5, 5.2 and 5.3

Next, we plot the numbers on a number line using a scale of 0.1

This can be visualized as

5 5.2 5.3

See attachment for the number line that compares the numbers 5.3, 5 1/5 and 5