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3 years ago

Solve each of the following equations for xx using the same technique as was used in the Opening Exercise.

Mathematics

1 answer:

aleksandrvk [35]3 years ago

4 0

Answer:

The value of x is 3/2.

Step-by-step explanation:

Given data in the question:-

$3^2^x=27$

We have to find the value x.

Let $3^2^x=27$ be eq(i).

Solving eq (i)

$3^2^x=3^3$

using the properties of the exponents we have

if aⁿ=aˣ

then n=x

$2x=3\\x=3/2$

Hence the answer is 3/2.

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The measure of an interor angle of a regular polygon is given. Find the number of sides in the polygon.

EleoNora [17]

Let side be n

$\\ \sf\longmapsto 120n=(n-2)180$

$\\ \sf\longmapsto 120n=180n-360$

$\\ \sf\longmapsto -60n=-360$

$\\ \sf\longmapsto n=6$

$\\ \sf\longmapsto 160n=(n-2)180$

$\\ \sf\longmapsto 160n=180n-240$

$\\ \sf\longmapsto -20n=-240$

$\\ \sf\longmapsto n=12$

$\\ \sf\longmapsto 144n=(n-2)180$

$\\ \sf\longmapsto 144n=180n-360$

$\\ \sf\longmapsto -36n=-360$

$\\ \sf\longmapsto n=10$

6 0

2 years ago

A savings account increases from $200 to $210 what is the percent increase of the savings in the account.

Illusion [34]

Answer:

Step-by-step explanation:

10/200 × 100 = 5

hope this helps...

7 0

2 years ago

A farmer has 20 acres to plant in wheat and barley. He has to plant at least 15 acres. Wheat costs $200 per acre to plant and ba

maria [59]

Answer:

16 acres of barley only (no acres of wheat)

Step-by-step explanation:

A graph shows cost of planting puts an upper limit on planted area. The lower limit is provided by the requirement to plant at least 15 acres. The vertices of the feasible solution region are ...

(wheat acres, barley acres) = {(0, 15), (0, 16), (3, 12)}

The profit associated with these scenarios will be ...

for (0, 16): 16·350 = 5600

for (3, 12): 3·450 +12·350 = 1350 +4200 = 5550

To maximize profit, the farmer should plant 16 acres of barley.

4 0

3 years ago

)) a. Write three side lengths that will

Zolol [24]

Answer:

3,4,5 forms a right triangle

1,2 ,9 does not form a triangle

Step-by-step explanation:

Three side lengths that will form a triangle

3,4,5

This is a Pythagorean triple. It forms a right triangle

3^2 +4^2 = 5^2

9+16=25

25=25

Three side lengths that will not form a triangle

1,2 9

The sum of the two smaller sides must be greater then the third

1+2 < 9 not greater

3 0

3 years ago

Read 2 more answers

a ladder leans against the sufe of a house. the angle of elevation of the ladder is 70 degrees when the bottom of the ladder is

nekit [7.7K]

Answer:

≈ 35.1 ft

Step-by-step explanation:

The model is a right triangle with ladder being the hypotenuse and the angle between the ground and the ladder is 70°

Using the cosine ratio, with l being the length of the ladder.

cos70° = $\frac{adjacent}{hypotenuse}$ = $\frac{12}{l}$ ( multiply both sides by l )

l × cos70° = 12 ( divide both sides by cos70° )

l = $\frac{12}{cos70}$ ≈ 35.1 ( to the nearest tenth )

The ladder is approx 35.1 ft long

4 0

3 years ago