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3 years ago

1/2 of 5 less than 10

Mathematics

1 answer:

4vir4ik [10]3 years ago

3 0

Answer:

2.5

Step-by-step explanation:

Lets start off with:

1/2 means half or 50% of a number.

5 less than ten would just mean to subtract 5 from ten.

10-5=5

Then, 1/2 or 50% of 5 would be 2.5

5/2=2.5

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3 years ago

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3 years ago

2(4 – 2r) = -2(r + 5) How do you know if it's identity or no solution and show work

lesantik [10]

Answer: r = 9

Step-by-step explanation:

2(4 - 2r) = -2(r + 5)

8 - 4r = -2r - 10 distributed

8 = 2r - 10 added 4r to both sides

18 = 2r added 10 to both sides

9 = r divided both sides by 2

***********************************************************************************

Identity is when you end up with a TRUE statement after moving the x-values to one side of the equation.

For example: 2x + 2 = 2(x + 1)

2x + 2 = 2x + 2 distributed

2 = 2 subtracted 2x from both sides

TRUE so x is all real numbers

No Solution is when you end up with a FALSE statement after moving the x-values to one side of the equation.

For example: 2x + 1 = 2(x + 1)

2x + 1 = 2x + 2 distributed

1 = 2 subtracted 2x from both sides

FALSE so there are no solutions

5 0

4 years ago

99 POINTS

inysia [295]

Answer:

Part a) The exact area of the sidewalk is $80\pi\ m^{2}$

Part b) The approximate area of the sidewalk is $251.2\ m^{2}$

Step-by-step explanation:

we know that

The area of the sidewalk is equal to the area of the outer circle minus the area of the inner circle

Part a) Find the exact area of the sidewalk

$A=\pi (12)^{2} -\pi (8)^{2}$

$A=\pi [144-64]$

$A=80\pi\ m^{2}$

Part b) Find the approximate area of the sidewalk

assume $\pi=3.14$

substitute

$A=80(3.14)=251.2\ m^{2}$

5 0

3 years ago

In the diagram below, triangle A is similar to triangle B. What is the value of n?

FrozenT [24]

Answer:

n = 2

Step-by-step explanation:

Since ∆A is similar to ∆B, therefore, the ratio of their corresponding sides would be equal.

Thus:

$\frac{10}{n + 2} = \frac{6}{3}$

$\frac{10}{n + 2} = 2$

Multiply both sides by (n + 2)

$\frac{10}{n + 2}(n + 2) = 2(n + 2)$

$10 = 2n + 4$

Subtract 4 from each side

$10 - 4 = 2n + 4 - 4$

$6 = 2n$

Divide both sides by 2

$\frac{6}{2} = \frac{2n}{2}$

$3 = n$

n = 2

7 0

3 years ago