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2 years ago

12 cubic yards of mulch is 3/4 of a truckload. how much is a full load

Mathematics

1 answer:

kirill [66]2 years ago

8 0

- I have answered this in your last question. (16).

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A grocer mixes peanuts that cost $1.41 per pound and walnuts that cost $2.61 per pound to make 100 pounds of a mixture that cost

BigorU [14]

w = 60 lb (amt. of walnuts needed)

100-w = 40 lb (amt. of peanuts needed)

7 0

2 years ago

The side of each of the equilateral triangles in the figure is twice the side of the central regular hexagon. What fraction of t

lana [24]

Answer:

The fraction is 1/4

Step-by-step explanation:

we know that

The area of an equilateral triangle, using the law of sines is equal to

$A=\frac{1}{2}x^{2}sin(60^o)$

$A=\frac{1}{2}x^{2}(\frac{\sqrt{3}}{2})$

$A=x^{2}\frac{\sqrt{3}}{4}$

where

x is the length side of the triangle

In this problem

Let

b ----> the length side of the regular hexagon

2b ---> the length side of the equilateral triangle

step 1

Find the area of the six triangles

Multiply the area of one triangle by 6

$A=6[x^{2}\frac{\sqrt{3}}{4}]$

$A=3x^{2}\frac{\sqrt{3}}{2}$

we have

$x=2b\ units$

substitute

$A=3(2b)^{2}\frac{\sqrt{3}}{2}\\\\A=6b^{2}\sqrt{3}\ units^2$

step 2

Find the area of the regular hexagon

Remember that, a regular hexagon can be divided into 6 equilateral triangles

The area of the regular hexagon is the same that the area of 6 equilateral triangles

$A=3x^{2}\frac{\sqrt{3}}{2}$

we have

$x=b\ in$

substitute

$A=3(b)^{2}\frac{\sqrt{3}}{2}$

step 3

To find out what fraction of the total area of the six triangles is the area of the hexagon, divide the area of the hexagon by the total area of the six triangles

$3(b)^{2}\frac{\sqrt{3}}{2}:6b^{2}\sqrt{3}=\frac{3}{2} :6=\frac{3}{12}=\frac{1}{4}$

3 0

2 years ago

What is the exact volume of the sphere? 36.868π m³ 94.46π m³ 147.456π m³ 463.01π m³ Sphere with dotted line extending from middl

Bezzdna [24]

80% sure it b 94.46π m³

3 0

2 years ago

Read 2 more answers

Jose and Franco were playing a video game if Jose score 782,076 points and Franco scored 811,968 point what is the difference be

posledela

Answer:

29,892

Step-by-step explanation:

811,968-782,076

7 0

2 years ago

A.You are told that a company's profits this year are 120% of their profits from last year. If their

Elden [556K]

Answer:

29,160,000

Step-by-step explanation:

24,300,000x120%=29,160,000

4 0

2 years ago