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3 years ago

Rewrite this exponential equation as a logarithmic equation.

Mathematics

1 answer:

Mekhanik [1.2K]3 years ago

3 0

Answer:

Step-by-step explanation:

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The figure is not drawn to scale.

Goryan [66]

Answer:

93°, 89°, 93°

Step-by-step explanation:

∠1 and ∠4 are supplementary angles:

m∠1 + m∠4 = 180°; m∠1 = 93°

∠2 and ∠4 are vertical angles:

m∠2 = m∠4 = 87°

∠3 and ∠4 are supplementary angles:

m∠3 + m∠4 = 180°; m∠3 = 93°

4 0

3 years ago

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Very easy!! help!! urgent!! its on ratio

masha68 [24]

Answer:

A and B are correct

Step-by-step explanation:

if x:y is 1:3 then x is 1 and y is 3

1/3 of 3 is 1 so A is correct

3/4(1+3) is 3 so B is correct

But

1/4 × 3 is not 1 so C is not correct

3/4 ×1 is not 3 so D isn't correct

5 0

3 years ago

Tree pruning company A charges a one time $100 fee and $50 for each tree that they prune. Tree pruning company B charges a one t

krek1111 [17]

The answer to this question should be C

8 0

3 years ago

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A rectangular piece of tin has an area of 1056 square inches. A square of 3 inches is cut from each corner, and an open box is m

kvv77 [185]

Answer:

44 inches and 24 inches

Step-by-step explanation:

Let $l,b$ denotes length and breadth of a rectangle.

$lb=1056$

A square of 3 inches is cut from each corner, and an open box is made by turning up the ends and sides.

New length $=l-6$ inches

New breadth $=b-6$ inches

Height of box $=3$ inches

Volume of box = length × breadth × height

$(l-6)(b-6)3=2052$

$lb-6l-6b+36=684\\6(l+b)=408\\l+b=68\\b=68-l$

Put $b=68-l$ in $lb=1056$

$l(68-l)=1056\\l^2-68l+1056=0\\l^2-44l-24l+1056=0\\l(l-44)-24(l-44)=0\\(l-24)(l-44)=0\\l=24,44$

At $l=24,b=\frac{1056}{24}=44$ inches

At $l=44,b=\frac{1056}{44}=24$ inches

8 0

3 years ago

An ant walk about 3 inches per second how many miles per day could an ant travel if it walked without a break?

erastovalidia [21]

Answer:

Step-by-step explanation:

45/11 miles per day or ~4.091 miles per day

Step-by-step explanation:

3 inches per second

24 hours in a day

60 minutes in 1 hour

60 seconds in 1 minute

Amount of inches per minute: 3 x 60 = 180 inches

Amount of inches per hour: 180 x 60 = 10,800 inches

Amount of inches per day 10,800 x 24 = 259,200 inches

To find the number of feet that 259,200 inches is, divide by 12.

259,200/12 = 21,600 feet per day

To find the number of miles that 21,600 feet is, divide by 5280.

21,600/5280 = 45/11 = 4.09090909091 = ~ 4.091

So, an ant could walk 45/11 miles per day or ~4.091 miles per day if it walked without taking a break.

4 0

3 years ago

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