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Diano4ka-milaya [45]
2 years ago
15

The diagram shows a circle inside a square. a O 16 cm Work out the area of the circle.

Mathematics
1 answer:
LuckyWell [14K]2 years ago
4 0

Answer:

perimeter of circle=2πr

16=2πr

r=16/2π=8/πcm

now.

area of circle=πr²=π(8/π)²=π×64/π²=64/(22/7)=64×7/22=20.36cm²

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What two positive numbers whose difference is 7 and whose product is 294
Aloiza [94]

Answer:

Step-by-step explanation:

We will use x and y as our positive numbers.  We need to write 2 equations from this information.  The first is that the difference between the numbers is 7:

x - y = 7 is the equation for that.

The second is that the product of the 2 numbers is 294:

xy = 294

Let's begin by solving the first equation for x:

x = 7 + y

Now sub that in for x in the second equation:

(7 + y)y = 294 and

7y+y^2=294

This is a quadratic, so let's put it into standard form, setting it equal to 0:

y^2+7y-294=0

We have to factor this now to find out what values of y satisfy this equation.

Think: "what 2 number multiply to equal -294 and add to equal 7.  To find these numbers we find all the factors of 294, which are:

1, 294

2, 147

3, 98

6, 49

7, 42

14, 21

It looks like 14 and 21 will work.  If we make the 14 negative, then 21 - 14 = 7.  And if the 14 is negative, then -14 * 21 = -294.  So the signs are correct.  The equation rewritten using those values in place of 7y is:

y^2+21y-14y-294 = 0 and we factor by grouping:

(y^2+21y)-(14y-294)=0

Out of the first set of parenthesis we can pull out a y, and from the second set we can pull out a 14:

y(y + 21) - 14(y + 21) = 0

What's common now is the factor (y + 21).  So factor THAT out, and you're left with:

(y + 21)(y - 14) = 0

Set each of these expression equal to 0 and solve for y:

y + 21 = 0 so

y = -21 and

y - 14 = 0 so

y = 14

Since we were told that both of the numbers are positive, then y has to be 14.  

Sub in y = 14 to find x:

x = 7 + 14 so

x = 21

There you go!

7 0
2 years ago
II
mash [69]

Answer:

8

Step-by-step explanation:

Because you left one pence then it is 9-1=8

3 0
3 years ago
Read 2 more answers
The range of fx=4x is
fiasKO [112]
The range is all positive real numbers
5 0
2 years ago
HELPPP IM PANICKINGGGG
Ray Of Light [21]
Hello!

We are given that the measure of one angle is equal to 115 degrees (for convenience, we’ll refer to this angle as ∠W). Looking at the image above, we can see that ∠W and ∠Y are supplementary angles. Supplementary angles are two angles whose measures add to a sum of 180 degrees, also known as a straight line. This relationship can be expressed using the following formula:

A1 + A2 = 180

Now insert any known values provided by the image above:

(115) + (∠Y) = 180

Subtract 115 from both sides of the equation:

∠Y = 65

We have now proven that ∠Y has a measure of 65 degrees. Now, looking at the image again, we can see that ∠W and ∠X are vertical angles. Vertical angles are two angles that lie on opposite sides of two intersecting lines. A pair of vertical angles is always equal in measure. This relationship can be expressed using the following formula:

A1 = A2

Now insert any known values provided by the image above:

(∠X) = (115)

We have now proven that ∠X has a measure of 115 degrees.

I hope this helps!

7 0
3 years ago
Evaluate the expression for the given value of the variables.
Rudik [331]

Since c=15 and d=3, we replace the c and d variables with 15 and 3.

0.5x15-1.7x3

0.5x15=7.5

1.7x3=5.1

Now subtract.

7.5-5.1=2.4

---

hope it helps

6 0
2 years ago
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