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3 years ago

I don’t know what to do

Mathematics

1 answer:

LUCKY_DIMON [66]3 years ago

8 0

To find the Area of the Shaded region:

☆Make a Formula of how to get it in your head.

= Area of Triangle - Area of Circle

Equilateral means all the sides are the same. Thus all. the sides are 10

☆Find Area of Triangle

Formula: Area of Triangle=

1,2(Base ×Height)

1,2(10×10)

100 ÷ 2 = 50 unit^2

☆Find Area of Circle

Assume: Radius of circle is 5

☆ Área of Circle= Pi × r^2

Pi × 5^2 = Pi × 25

Área of Circle = 78.5 (approximately)

Using Formula

Area of Triangle - Area of Circle

50 -

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Question 4 of 10

TiliK225 [7]

Answer:

A- 0.68

Step-by-step explanation:

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3 years ago

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You have $12,000 to invest and want to keep your money invested for 8 years. You are considering the following investment option

kozerog [31]

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7 0

3 years ago

Reverse the two digits of my age, divide by three, add 20, and the result is my age. How many years old am I

lapo4ka [179]

Answer:

48 years old.

Step-by-step explanation:

Let the age be xy or 10x + y.

Reverse the two digits of my age, divide by three, add 20, and the result is my age, convert this to equation:

(10y + x)/3 + 20 = 10x + y
(10y + x)/3 = 10x + y - 20
10y + x = 3(10x + y - 20)
10y + x = 30x + 3y - 60
30x - x + 3y - 10y = 60
29x - 7y = 60

We should consider both x and y are between 1 and 9 since both the age and its reverse are 2-digit numbers.

Possible options for x are:

29x ≥ 7*1 + 60 = 67 ⇒ x > 2, at minimum value of y,

and

29x ≤ 7*9 + 60 = 123 ⇒ x < 5, at maximum value of y.

So x can be 3 or 4.

29*3 - 7y = 60
87 - 7y = 60
7y = 27
y = 27/7, discarded as fraction.

29*4 - 7y = 60
116 - 7y = 60
7y = 56
y = 8

So the age is 48.

6 0

1 year ago

Find the area of the regular trapezoid. The figure is not drawn to scale. The top side is 4, the bottom side is 7, and both side

svp [43]

A regular trapezoid is shown in the picture attached.

We know that:
DC = minor base = 4
AB = major base = 7
AD = BC = lateral sides or legs = 5

Since the two legs have the same length, the trapezoid is isosceles and we can calculate AH by the formula:

AH = (AB - DC) ÷ 2
= (7 - 5) ÷ 2
= 2 ÷ 2
= 1

Now, we can apply the Pythagorean theorem in order to calculate DH:
DH = √(AD² - AH²)
= √(5² - 1²)
= √(25 - 1)
= √24
= 2√6

Last, we have all the information needed in order to calculate the area by the formula:

$A = \frac{(AB + CD)DH}{2}$

A = (7 + 5) × 2√6 ÷ 2
= 12√6

The area of the regular trapezoid is 12√6 square units.

7 0

3 years ago

Need help quick simplify the expression (-4) power of 3

dezoksy [38]

Answer:

-64

Step-by-step explanation:

The question is asking to solve $(-4)^3$

Notice how the -4 is in parenthesis. This means that along with the 4 being multiplied, the negative is too.

$(-4)^3$ is the same as -4 · -4 · -4

First let's figure out if this will be negative or positive

Whenever the exponent is odd and there is a negative in the parenthesis the answer will be negative and if its even it will be positive

Now find out what 4 x 4 x 4 equals (64)

In conclusion the answer is -64

8 0

3 years ago