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3 years ago

3: convert into a fraction

Mathematics

1 answer:

Leno4ka [110]3 years ago

4 0

5^(-3) = 1/5^3 = 1/125

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True or false A linear equation is an equation whose graph is a straight line.

KIM [24]

Answer:true

Step-by-step explanation:

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3 years ago

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Ismael has a set of 5 solar panels and Ben has a set of 6 smaller solar panels. Each set of panels produce the same amount of en

eimsori [14]

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Answer:

Ben's

Step-by-step explanation:

If E is the amount of energy that each full set of panels produces, then ...

3 of Ismael's 5 panels produce 3/5E

4 of Ben's 6 panels produce 4/6E

We can compare these fractions when they have a common denominator.

3/5E = 18/30E . . . . energy from Ismael's panels

4/6E = 20/30E . . . energy from Ben's panels

18/30 < 20/30 . . . . so Ben's panels are producing more energy

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3 years ago

Question 3 (10 points)

Georgia [21]

Answer:

$10,000

Step-by-step explanation:

6% of 10000 = 0.06 × 10000 = 600

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3 years ago

A machine can produce 6yards of fabric in 2 minutes. How much fabric can the machine produce in 1 hour?

Alex17521 [72]

Answer:

180

Step-by-step explanation:

2 times 30 equals 60 which is an hour so 6 times 30 equals 180.

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3 years ago

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What is the area of this triangle ?

oee [108]

Answer:

Area of triangle is 9.88 units^2

Step-by-step explanation:

We need to find the area of triangle

Given E(5,1), F(0,4), D(0,8)

We will use formula:

$Area\,\,of\,\,triangle =\sqrt{s(s-a)(s-b)s-c)} \\where\,\, s = \frac{a+b+c}{2}$

We need to find the lengths of side DE, EF and FD

Length of side DE = a = $\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}$

Length of side DE = a = $=\sqrt{(5-0)^2+(1-8)^2}\\=\sqrt{(5)^2+(-7)^2}\\=\sqrt{25+49}\\=\sqrt{74}\\=8.60$

Length of side EF = b = $\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}$

Length of side EF = b = $=\sqrt{(0-5)^2+(4-1)^2}\\=\sqrt{(-5)^2+(3)^2}\\=\sqrt{25+9}\\=\sqrt{34}\\=5.8$

Length of side FD = c = $\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}$

Length of side FD = c = $=\sqrt{(0-0)^2+(8-4)^2}\\=\sqrt{(0)^2+(4)^2}\\=\sqrt{0+16}\\=\sqrt{16}\\=4$

so, a= 8.60, b= 5.8 and c = 4

s = a+b+c/2

s= 8.6+5.8+4/2

s= 9.2

Area of triangle= $=\sqrt{s(s-a)(s-b)s-c)}\\=\sqrt{9.2(9.2-8.6)(9.2-5.8)(9.2-4)}\\=\sqrt{9.2(0.6)(3.4)(5.2)}\\=\sqrt{97.5936}\\=9.88$

So, area of triangle is 9.88 units^2

4 0

3 years ago