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3 years ago

Find the circumference of the pizza 18in to the nearest hundredth. circumference: about in.

Mathematics

1 answer:

cricket20 [7]3 years ago

4 0

Answer:56.55

Step-by-step explanation:

2 x pi x radius which is half of 18 so 9 is about 5.487 and rounded to the nearest hundredth is 56.55.

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Can you solve this?

marusya05 [52]

Answer:

Step-by-step explanation:

The area (A) of a trapezoid is calculated as

A = 0.5h(a + b)

where h is the perpendicular height and a, b the parallel sides.

Given A = 120, then

0.5 × 8(a + b) = 120, that is

4(a + b) = 120 ( divide both sides by 4 )

a + b = 30 cm → D

5 0

3 years ago

If 2(4x + 3)/(x - 3)(x + 7) = a/x - 3 + b/x + 7, find the values of a and b.

zmey [24]

Answer:

$a=3$ and $b=5$ .

Step-by-step explanation:

So I believe the problem is this:

$\frac{2(4x+3)}{x-3}(x+7)}=\frac{a}{x-3}+\frac{b}{x+7}$

where we are asked to find values for $a$ and $b$ such that the equation holds for any $x$ in the equation's domain.

So I'm actually going to get rid of any domain restrictions by multiplying both sides by (x-3)(x+7).

In other words this will clear the fractions.

$\frac{2(4x+3)}{x-3}(x+7)}\cdot(x-3)(x+7)=\frac{a}{x-3}\cdot(x-3)(x+7)+\frac{b}{x+7}(x-3)(x+7)$

$2(4x+3)=a(x+7)+b(x-3)$

As you can see there was some cancellation.

I'm going to plug in -7 for x because x+7 becomes 0 then.

$2(4\cdot -7+3)=a(-7+7)+b(-7-3)$

$2(-28+3)=a(0)+b(-10)$

$2(-25)=0-10b$

$-50=-10b$

Divide both sides by -10:

$\frac{-50}{-10}=b$

$5=b$

Now we have:

$2(4x+3)=a(x+7)+b(x-3)$ with $b=5$

I notice that x-3 is 0 when x=3. So I'm going to replace x with 3.

$2(4\cdot 3+3)=a(3+7)+b(3-3)$

$2(12+3)=a(10)+b(0)$

$2(15)=10a+0$

$30=10a$

Divide both sides by 10:

$\frac{30}{10}=a$

$3=a$

So $a=3$ and $b=5$ .

4 0

2 years ago

Read 2 more answers

What is the next term of the arithmetic sequence? -7,-3,1,5,9,

inessss [21]

Answer:

The next term is 13.

Step-by-step explanation:

Looking at the previous numbers...

for -7 to get to -3, you have to add 4, and for -3 to get to 1 you have to add 4.... and so on. So in order to find the next number, add 4 to 9, and which you get 13.

3 0

3 years ago

Read 2 more answers

Which number is 4 units from-1

ella [17]

4 + -1 = 3

Or -1 - 4 = -5

I would put 3.

8 0

2 years ago

Factor completely. 3x^2 + 30x + 75 =?

vladimir1956 [14]

Answer:

the answerrrrrrrrrrr is 3(x+5)^2

3 0

2 years ago

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