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3 years ago

Lauren is sewing a quilt using fabric squares.

Mathematics

1 answer:

KengaRu [80]3 years ago

4 0

Answer:

x^2 + 8x + 16

Step-by-step explanation:

Given length of square x + 4.

Area of square with side S is given by $S^2$ .

Therefore are of square with side x + 4 is given by $(x + 4)^2$

Area of square = $(x + 4)^2\\=>(x + 4)*(x + 4)\\=> x(x + 4) + 4(x + 4)\\=> x^2 + 4x + 4x + 4*4\\=> x^2 + 8x + 16$

Thus, x2 + 8x + 16 expression represents the area of a fabric square.

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Cube of the number -13/15

Ivan

Answer:

$-\frac{2197}{3375}\\\mathrm{Decimal:\quad }\:-0.65096$

Step-by-step explanation:

$-\left(\frac{13}{15}\right)^3\\\mathrm{Apply\:exponent\:rule}:\quad \left(\frac{a}{b}\right)^c=\frac{a^c}{b^c}\\\left(\frac{13}{15}\right)^3=\frac{13^3}{15^3}\\=-\frac{13^3}{15^3}\\13^3=2197\\=-\frac{2197}{15^3}\\15^3=3375\\=-\frac{2197}{3375}$

7 0

3 years ago

Read 2 more answers

To make cherry turnovers, a cook cuts the dough into triangles with a base of 6 inches and a height of 3 inches. How many turnov

Inessa [10]

Answer:

24 turnovers can be cut from the rectangular piece of dough.

Step-by-step explanation:

Given:

A rectangular piece of dough is 12 inches wide and 18 inches long.

To make cherry turnovers, a cook cuts the dough into triangles with a base of 6 inches and a height of 3 inches.

Now, to find the number of turnovers can be cut from the dough.

So, we find the area of the triangle the cook cuts from the dough by putting formula:

Base (b) = 6 inches.

Height (h) = 3 inches.

$Area=\frac{hb}{2} \\\\Area=\frac{h\times b}{2} \\\\Area=\frac{3\times 6}{2} \\\\Area=\frac{18}{2} \\\\Area=9\ inches^2.$

Thus, the area of the triangle cut from the dough is 9 inches².

Now, to get the area of rectangular piece of dough by putting formula:

Length = 18 inches.

Width = 12 inches.

$Area=length\times width\\\\Area=18\times 12\\\\Area=216\ inches^2.$

Hence, the area of the rectangular dough is 216 inches².

Now, to get the number of turnovers can be cut from the rectangular piece of dough we divide the area of the rectangular dough by the area of the triangle cut from the dough:

$\frac{216}{9} \\\\=24\ turnovers.$

Therefore, 24 turnovers can be cut from the rectangular piece of dough.

8 0

4 years ago

are the rational numbers a subset of all real numbers? are the rational numbers a subset of the irrational numbers? explain

Nastasia [14]

Answer:

see below

Step-by-step explanation:

are the rational numbers a subset of all real numbers?

yes of course

by definition the real numbers is the union of the rational numbers and the irrational numbers

so we can say that the rational numbers are a subset

and every rational number is part of the real number

are the rational numbers a subset of the irrational numbers?

the rationals numbers are all those numbers that you can write as p/q with q different of 0, and the irrationals numbers are those that you cannot write as a fraction

so as you can see those are two completely different types of number, to be a subset every rational number must be in the irrationals , and by the definition we know it can't happen

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3 years ago

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olga55 [171]

Answer for 13: 89 percent because 89/100 is .89 or 89 percent

Answer for 14: part a: 1/10 because Each person gets ten percent so 10 times 10 is 100

Part b: it can be expressed as 0.10 in decimal form

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3 years ago

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Please answer quick please

GaryK [48]

Lin is older by 3 years. 5-2=3

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3 years ago