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a_sh-v [17]
3 years ago
6

Which expression is not equivalent to

Mathematics
1 answer:
frutty [35]3 years ago
6 0

Answer:

Options A,C and D are not equivalent

Step-by-step explanation:

1/2log49 + log 20 - log 14

=log 49½ + log 20 - log 14

=1og 7 + log 20 - log 14

=log (7 × 20 / 14)

=log 10

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A rectangle has a perimeter of 44 inches and an area of 72 square inches. What are the lengths of the sides of the rectangle?
kondor19780726 [428]
  • A rectangle has a perimeter of 44 inches and an area of 72 square inches.
  • Perimeter = 44 inches, area = 72 square inches.
  • Let the length and breadth be l and b respectively.
  • We know, perimeter of a rectangle = 2(l + b)
  • Therefore,
  • 2(l + b) = 44

or, l + b = 22

or, b = 22 - l ...(i)

  • We know, area of a rectangle = lb
  • Therefore,
  • lb = 72
  • Putting (i) in b, we get
  • l(22 - l) = 72

or, 22l - l^2 -72 = 0

or, l^2 - 22l + 72 = 0

or, l^2 - 4l - 18l + 72 = 0

or, l(l - 4) - 18(l - 4) = 0

or, (l - 4)(l - 18) = 0

or, l = 4 or l = 18

  • Therefore, if the length is 4 inches, then the breadth is (22-4) inches, i.e., 18 inches.
  • And if the length is 18 inches, then the breadth is (22-18) inches, i.e., 4 inches.

<u>Answer:</u>

<u>B)</u><u> </u><em><u>4</u></em><em><u> </u></em><em><u>inches </u></em><em><u>and </u></em><em><u>1</u></em><em><u>8</u></em><em><u> </u></em><em><u>inches.</u></em>

Hope you could get an idea from here.

Doubt clarification - use comment section.

5 0
3 years ago
. Jamie is walking of a mile every
kaheart [24]

Answer:

a mile

Step-by-step explanation:

he walked 1 mile an hour

hope this helped

6 0
3 years ago
Read 2 more answers
A man that is 6 ft tall casts a shadow that is 4 ft long . He is standing next to a tree that is casting a shadow that is 12 ft
Sunny_sXe [5.5K]

Answer:

The tree is 18ft tall

Explanation:

Shadow = Real

4ft = 6ft(man)

1ft = 1.5ft

Let tree = yft

12 = y

y = 12 × 1.5

= 18ft

(Correct me if i am wrong)

7 0
3 years ago
Lexi needs 144 beads. A large box holds 100 beads. A medium box holds 10 beads. A small box holds 1 bead. Lexi already had 1 lar
Readme [11.4K]
She will need 4 medium boxes
7 0
3 years ago
Simplify square root of ten times square root of eight.
Romashka-Z-Leto [24]
<h2>Explanation:</h2><h2></h2>

Here we need to simplify the square root of ten times square root of eight, so let's write this step by step:

Step 1. The square root of ten

\sqrt{10}

Step 2. The  square root of eight

\sqrt{8}

Step 3. The square root of ten times square root of eight

\sqrt{10}\times \sqrt{8} \\ \\ \\ \text{From radical property:} \\ \\ \sqrt{a}\times \sqrt{b}=\sqrt{ab} \\ \\ \\ So: \\ \\ \sqrt{10}\times \sqrt{8}=\sqrt{80} \\ \\ \\ But: \\ \\ \sqrt{80}=\sqrt{16\time5}=\sqrt{16}\sqrt{5}=4\sqrt{5}

Finally, the correct option is:

<em>Four square root of five</em>

4 0
3 years ago
Read 2 more answers
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