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kumpel [21]
4 years ago
10

Estimate the area of the circle. Each square represents 4 in.2.

Mathematics
1 answer:
scZoUnD [109]4 years ago
7 0

Answer:

12.56 in²

Step-by-step explanation:

The area of a circle is calculated using the formula

Area = \pi \:  {r}^{2}

where r is the radius of the circle.

We substitute the radius and π=3.14

Area = 3.14 \times  {2}^{2}

Area = 12.56

Therefore the area of the circle is

12.56 \:  {in}^{2}

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Write the equation in slope-intercept form that contains the following point and is perpendicular to the given line
Len [333]

Answer:

y = 1/4 x -3

Step-by-step explanation:

y = -4x + 3;

the slope of this equation is -4

we want the slope perpendicular to this

take the negative reciprocal

- (-1/4) = 1/4

so the slope of our line will be 1/4

we have the slope and a point so we can use point slope form

y-y1 = m (x-x1)

y--2 = 1/4(x-4)

y+2 = 1/4 (x-4)

we need to change it to slope intercept form (y=mx+b)

distribute

y+2 = 1/4 x -1/4*4

y+2 = 1/4x -1

subtract 2 from each side

y +2-2 = 1/4 x -1-2

y = 1/4 x -3

the slope is 1/4 and the y intercept is -3

8 0
4 years ago
If a pound of coffee costs $6, how many ounces can be bought for $3
saveliy_v [14]

8

Because 16 ounces is a pound half of 16 is 8, 8 ounces is half a pound. :)

8 0
4 years ago
Read 2 more answers
A trapezoid has an area of 329 square feet. If the bases are 30 feet and 17 feet, what is the height of the trapezoid in feet? F
ExtremeBDS [4]

Answer:

The correct option is C.  14 ft

Step-by-step explanation:

To calculate the height, we will follow the steps below;

Formula is given to be:  h = 2A / b1 +b2

where h = height of the trapezoid   b1 and b2 are the bases of the trapezoid    and A is the area of the trapezoid

From the question given;

Area A =329 feet²      b1 = 30 feet    b2 =17 feet  

We can now proceed to insert the values into the formula

h = 2A / b1 +b2

h= 2(329)  / 30 + 17

h = 658 /47

h=14 feet

6 0
3 years ago
Multiply (5 + 3i)(5 − 3i) <br><br> 16 + 15i <br><br> 16 − 15i <br><br> 16 <br><br> 34
Annette [7]

Answer:

(5 + 3i)(5 − 3i) = 34

Step-by-step explanation:

The multiplication of two identical binomials who have different symbol, can be solved using the factoring case of a difference of squares:

(a-b).(a+b)=a^{2}-b^{2}

So, in this case:

(5+3i).(5-3i) = 5^{2}-(3i)^{2}

=25-9i^{2}

Remember that i=\sqrt{-1}

So: i^{2}=-1

We replace on the polynomial:

=25-9.(-1) = 25+9=34

3 0
4 years ago
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Complete the missing value in the solution to the equation.^
svet-max [94.6K]

Answer:

10

Step-by-step explanation:

subtract 5y from both sides of the equation

6 0
3 years ago
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