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3 years ago

The number 4 on a dice was thrown 7 times in the first 50 throws.

Mathematics

1 answer:

STatiana [176]3 years ago

4 0

Answer:

4 would be rolled 60 times when the dice was thrown 3000 times.

Step-by-step explanation:

3000/50 is how many times 4 would be rolled

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Sandy is ordering donuts for the cafeteria. She has a budget of $100. If each donut costs Sandy $0.15, and the donut shop charge

murzikaleks [220]

Answer:

0.15x + 30 ≤ 100

0.15x ≤ 70

Step-by-step explanation:

7 0

3 years ago

An isosceles triangle has a base of 4 and a height of x+3. If the area is 10, what is the value of x?

kicyunya [14]

The area of a isosceles triangle:
S=(bh)/2, where b is for base (=4) and h is for height (=x+3)
We get the equation:
10=(4*(x+3))/2
10=(4x+12)/2
4x+12=20
4x=8
x=2

5 0

3 years ago

Solve this literary equation: 15= -3(2c+d)

adelina 88 [10]

Answer:

15=-6c-3d

Step-by-step explanation:

If 15=-3(2c+d)

=15=(-3×2c) - (-3×d)

=15=-6c-3d

6 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

If 430 pounds of pebbles cover 1500 square feet, how many pounds of pebbles are necessary to cover 75,000 square feet?

drek231 [11]

6500 pounds are necessary to cover 75000 square feet

5 0

3 years ago