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3 years ago

Solve the problem.

Mathematics

1 answer:

zmey [24]3 years ago

6 0

Answer:

the percent of increase is 24%

Step-by-step explanation:

The percent of increase in general could be calculate as:

$\frac{Vf - Vi}{Vi} *100$

where Vf is final value and Vi is initial value.

From the question we know that Vi is equal to 25 and Vf is equal to 31. Replacing this values on the equation we get:

$\frac{31-25}{25} *100=24%$

That's mean that at second attempt the percent of increase is 24%, taking into account that at the first attempt a student get 25 questions correct.

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Translate the sentence into an inequality. The product of w and 3 is greater than 15.

Deffense [45]

Answer:

The product of w and 3 is greater than 15.

(w x 3)> 15

3w>15

Step-by-step explanation:

"Product" signifies multiplication. "of" means w is being multiplied by 3.

3 0

3 years ago

8-35. Use your knowledge of polygons to answer the questions below, if possible.

Nataliya [291]

Answer:

(a)I. 13 Sides II. 7 Sides

(b) 4 Sides, Square

(c)x=52 degrees

(d)x=107 degrees

(e)1620 degrees

Step-by-step explanation:

(a)The Sum of the Interior angle of polygon with n sides is derived using the formula: (n-2)180.

I. If the Interior angle is $1980^0$

Then:

$(n-2)180^0=1980^0\\$Divide both sides by 180^0 $ to isolate n$\\n-2=11\\$Add 2 to both sides of the equation\\n-2+2=11+2\\n=13$

The polygon has 13 sides.

II. If the Interior angle is $900^0$

Then:

$(n-2)180^0=900^0\\$Divide both sides by 180^0 $ to isolate n$\\n-2=5\\$Add 2 to both sides of the equation\\n-2+2=5+2\\n=7$

The polygon has 7 sides.

(b)The sum of the exterior angle of a polygon is 360 degrees,

Each exterior angle of a n-sided regular polygon is: $\frac{360^0}{n}$

If the exterior angle of a regular polygon is 90°

Then:

$90\°=\frac{360^0}{n}\\ 90n=360\\n=4$

The regular polygon has 4 sides and it is called a Square.

(c)The Sum of the Interior angle of polygon with n sides is derived using the formula: (n-2)180.

Each Interior angle of a regular n-sided polygon is: $\frac{(n-2)180^0}{n}$

For a pentagon, n=5

Then:

$\frac{(5-2)180^0}{5}=2x+4\\108=2x+4\\108-4=2x\\104=2x\\x=52^0$

(d)The sum of the exterior angle of a polygon is 360 degrees.

If four of the exterior angles of a pentagon are 57, 74, 56, and 66.

Let the fifth angle=x

Then:

$57+74+56+66+x=360^0\\253+x=360\\x=107^0$

(e)The Sum of the Interior angle of polygon with n sides is derived using the formula: (n-2)180.

In an 11-gon., n=11

Therefore, the sum of the interior angle=(11-2)180= $1620^0$

The sum of the interior angle does not change either in a regular or irregular polygon.

3 0

3 years ago

The two triangles shown are similar. Find the value of d/c

Stolb23 [73]

Answer:

D. None of the above

Step-by-step explanation:

$\frac{c}{9} = \frac{d}{7.5} \\ \frac{d}{c} = \frac{7.5}{9}$

P.S. hope it helped. If you have any questions, I'll be glad to answer them❤

7 0

3 years ago

If you divide an inheritance of $45,600.00 among 22 heirs, each heir will receive

alekssr [168]

It is simple
you do 45,600 divided by 22
which equals about 2,072.72

8 0

3 years ago

What happens to the graph of a trigonemetric function if the amplitude, a, is negative?

Tju [1.3M]

Answer:

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Step-by-step explanation:

5 0

3 years ago