Can some one explain how to answer this

A quilted block users eight parallelogram shaped pieces of clothe each with a base of 3/3/4 inches. How much fabric is needed to

borishaifa [10]

Answer:

The answer to the question is

37.5 ft² of fabric is needed to make the parallelogram pieces for 24 blocks.

Step-by-step explanation:

To answer the question, we note that a parallelogram is a four sided polygon having two opposite parallel sides.

Therefore in this question, we select our parallelogram to be a rectangle

Number of pieces of parallelogram in a quilted block = 8

Number of parallelogram in each quadrant of the quilted block = 2

Therefore the height of the rectangle = 2 × the base = 2× $3\frac{3}{4}$ = 7.5 inches

Therefore the area of each parallelogram = base × height

= $\frac{15}{4}*\frac{15}{2}$ = $\frac{225}{8}$ in²

since each quilted block uses 8 parallelogram, then the amount of fabric for each quilted block is

$\frac{225}{8} *8 = 225 in^2$

Hence 24 blocks wil require 24×225 in² = 5400 in²

However, since 144 in² = 1 ft² we have

5400 in² = 5400 in²× 1/144 ft²/in² = 37.5 ft².

7 0

3 years ago

Christopher is 20 years younger than ishaan. ishaan and christopher first met two years ago. fourteen years ago, ishaan was 3 ti

velikii [3]

you need to set up the equations solve for x or y. and substitute. I can give you the starting equations, but i cant find the answer and I don't remember how to do all the steps, but the first two equations (the ones you use to solve for x or y to use to solve for a number to subsitute. x-12=y y-14=3x and there should be one more for that they met two years ago.

4 0

3 years ago

Read 2 more answers

Write the following numbers in order of size

Anon25 [30]

7/10,.72,75%,4/5,.9 hope this helped

7 0

3 years ago

Read 2 more answers

What is the y value of the vertex 4x^2+8x-8

Oksana_A [137]

Answer:

The y-value of the vertex is $-12$

Step-by-step explanation:

we know that

The equation of a vertical parabola into vertex form is equal to

$f(x)=a(x-h)^{2}+k$

where

(h,k) is the vertex of the parabola

In this problem we have

$f(x)=4x^{2}+8x-8$ -----> this a vertical parabola open upward

Convert to vertex form

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$f(x)+8=4x^{2}+8x$

Factor the leading coefficient

$f(x)+8=4(x^{2}+2x)$

Complete the square. Remember to balance the equation by adding the same constants to each side

$f(x)+8+4=4(x^{2}+2x+1)$

$f(x)+12=4(x^{2}+2x+1)$

Rewrite as perfect squares

$f(x)+12=4(x+1)^{2}$

$f(x)=4(x+1)^{2}-12$

The vertex is the point $(-1,-12)$

The y-value of the vertex is $-12$

5 0

3 years ago

Read 2 more answers

In the data set below, what is the interquartile range? 7 1 5 5 9 Submit

Marizza181 [45]

Answer:

5

Step-by-step explanation:

The interquartile range is the difference between the upper quartile and the lower quartile.

First find the median.

The median is the middle value of the data set arranged in ascending order

1 5 5 7 9 ← data in ascending order

↑ median

The lower quartile is the middle value of the data to the left of the median. If there is not an exact middle then it the average of the values on either side of the middle.

1 5

↑ lower quartile = $\frac{1+5}{2}$ = 3

The upper quartile is the middle value of the data to the right of the median.

7 9

↑ upper quartile = $\frac{7+9}{2}$ = 8

Thus

interquartile range = 8 - 3 = 5

3 0

3 years ago