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liubo4ka [24]
2 years ago
7

The area of the square is 144 square inches. What is the area of the circle, to the nearest square inch? Use 3. 14 for

Mathematics
1 answer:
Ainat [17]2 years ago
8 0
C because 3.14 times 144 = 452.16
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The sides of an equilateral triangle are 8 units long.what is the length of the altitude of the triangle?
dedylja [7]

Answer:

Equilateral triangle implies each angle is 60 degree.

And any median is the altitude.

So, NT perpendicular LM, where T is the midpoint of [ML];

We use the Pythagorean Theorem in right triangle NTL ( NT = h; NL = a;

LT = a / 2 );

h² = a² - (a/2)² = a² - a²/4 = 4a²/4 - a²/4 = 3a²/4 ;

It follows that

h = √(3a²/4) = a√3/2 ≈ 0,866*a;

But, a = 8;

h ≈ 0,866 * 8 ≈ 6,928;

Step-by-step explanation:


6 0
3 years ago
The sum of two numbers is 25. Their difference is 9. What are the two numbers?
Lynna [10]
Using x and y as the numbers

x+y=25 -------#1
x-y=9  -------#2

Using addition of #1 and #2
x+y+x-y= 25+9
2x+0y=34
2x=34
x=17

Using the value of x and plugging said value into #1 or #2, we can find y
x=17

x+y=25
17+y=25
y=8

OR

x-y=9
17-y=9
-y=-8
y=8

The numbers are 8 and 17
5 0
3 years ago
Read 2 more answers
F(x)=x^2. what is g(x)?
Degger [83]

Answer:

C

Step-by-step explanation:

g(x) = 4x²

g(x) is steeper than f(x) and the ordered pair (1, 4) fits in option C:

g(1) = 4(1)² = 4

7 0
3 years ago
Work out m and c for the line: 3 y + 6 x = − 3
Usimov [2.4K]

Answer:

<u>m</u><u> </u><u>is</u><u> </u><u>-</u><u>2</u><u> </u><u>and</u><u> </u><u>c</u><u> </u><u>is</u><u> </u><u>-</u><u>1</u>

Step-by-step explanation:

• Let's first phrase out the general equation of a line

{ \rm{y = mx + c}}

  • m is the slope
  • c is the y-intercept

[ remember that a general line equation must be in slope - intercept form as shown above ]

• from our question, we are given the equation;

{ \rm{3y + 6x =  - 3}}

• let's make y the subject in order to make the equation in slope - intercept format.

→ <em>r</em><em>e</em><em>m</em><em>e</em><em>m</em><em>b</em><em>e</em><em>r</em><em> </em><em>t</em><em>o</em><em> </em><em>a</em><em>p</em><em>p</em><em>l</em><em>y</em><em> </em><em>"</em><em>s</em><em>u</em><em>b</em><em>j</em><em>e</em><em>c</em><em>t</em><em> </em><em>m</em><em>a</em><em>k</em><em>i</em><em>n</em><em>g</em><em> </em><em>k</em><em>n</em><em>o</em><em>w</em><em>l</em><em>e</em><em>d</em><em>g</em><em>e</em><em>"</em>

{ \rm{3y =  - 3 - 6x}} \\  \\ { \rm{3y =  - 6x - 3}} \\  \\ { \rm{ \frac{3y}{3}  =  \frac{ - 6x}{3}  -  \frac{3}{3} }} \\  \\  { \boxed{ \rm{y =  - 2x - 1}}}

• The above boxed equation is now a general equation. Let's extract out slope, m and y-intercept, c

{ \rm{m \:  \dashrightarrow \:  - 2}} \\  \\ { \rm{c \:  \dashrightarrow \:  - 1}}

8 0
3 years ago
Quadrilateral ABCD has opposite sides that are parallel and side AB congruent to side DC. What classification can be given to AB
fomenos
One pair of opposite sides both parallel and congruent implies a parallelogram.
6 0
3 years ago
Read 2 more answers
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