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3 years ago

What is the solution to the inequality -.4x-1.2 >.8

Mathematics

1 answer:

Mademuasel [1]3 years ago

4 0

Answer:

x < -1

Step-by-step explanation:

Solve -.4x-1.2 >.8 for x.

Start by adding 1.2 to both sides, to isolate -0.4 x:

-0.4x > 0.4

Divide both sides by -0.4, remembering the reverse the direction of the inequality sign:

x < -1

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Answer:

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Step-by-step explanation:

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3 years ago

a semicircular flower bed has a diameter of 3m. What is the area of the flower bed. Give answer to one decimal place

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3 years ago

Which choice is equivalent to the expression below?

alekssr [168]

Answer: OPTION A

Step-by-step explanation:

We need to remember that Product of powers property, which states that:

$(a^m)(a^n)=a^{(m+n)}$

Let's check the options:

A. For $5^9*5^{\frac{9}{10}}*5^{\frac{6}{100}}*5^{\frac{9}{1000}}$ you can apply the property mentioned before. Then:

$5^{(9+\frac{9}{10}+\frac{6}{100}+\frac{9}{1000})=5^{9.969}$

(It is the equivalent expression)

B. Add the exponents:

$5^9*5^{(\frac{9}{10}+\frac{9}{10}+\frac{6}{1000})=5^{10.806}$

(It is not the equivalent expression)

C. For $5^9*5^{\frac{96}{10}}*5^{\frac{9}{100}}}$ you can apply the property mentioned before. Then:

$5^{(9+\frac{96}{10}+\frac{9}{100})=5^{18.69}$

(It is not the equivalent expression)

D. We know that $5^{9.969}=9,290,347.808$ and we maje the addition indicated in this option, we get:

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4 years ago

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3 years ago

Square A is a scaled version of square B. The dimensions of square A are three times the dimensions of square B. The area of squ

denis23 [38]

Answer:

The side of square A is 30 cm.

Step-by-step explanation:

Given that,

The dimensions of square A are three times the dimensions of square B.

The area of square A is 900 sq cm.

Side of square A = 3( side of square B)

Let the side of square B is b. So,

Side of square A, a = 3b

We know that, the area of square is side². So,

$(3b)^2=900\\\\9b^2=900\\\\b^2=100\\\\b=10\ cm$

Side of square A, a = 3(10) = 30 cm

Hence, the side of square A is 30 cm.

8 0

3 years ago