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3 years ago

Find the area of a sector with a central angle of 120° and a diameter of 7.3 cm. Round to the nearest tenth.

Mathematics

1 answer:

Andru [333]3 years ago

6 0

Answer: $14cm^{2}$

Step-by-step explanation:

diameter=7.3cm

radius= $\frac{diameter}{2}$

= $\frac{7.3}{2}$

=3.65cm

angle =120°

area= $\frac{angle (tita)}{360}$ × $\frac{\pi r^{2} }{1}$

= $\frac{120}{360}$ × $\frac{22}{7}$ × $3.65^{2}$

= $13.95cm^{2}$

≅ $14cm^{2}$

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The price of a stock rose from a yearly low of $9.68 to $18.61. what was the stock percent increase from its low price that year

Helga [31]

Answer: i think it is 8.93

Step-by-step explanation:

4 0

3 years ago

Kyle is shopping for his favorite

nalin [4]

Answer:

The 9 ounce box is the better deal, and Kyle will save 2 cents.

Step-by-step explanation:

First, you should find how much 1 once would cost in the 9 ounce box.

Do 2.52 ÷ 9 = x

x = 0.28

This means that in the <u>9 ounce box, one ounce costs 28 cents</u>.

Now, find how much one once would cost in the 12 ounce box.

3.60 ÷ 12 = x

x = 0.30

This means that in the <u>12 ounce box, one ounce costs 30 cents</u>.

This means that the 9 ounce box is a better deal, because it costs less per ounce.

0.30 - 0.28 = 0.02. This means there is a 2 cent difference in their prices per ounce.

So, Kyle should choose the 9 ounce box, and he will save 2 cents per box.

5 0

2 years ago

Pls how do you verify this

aev [14]

Plug 15 in for x i think

3 0

3 years ago

Read 2 more answers

Solve for h. -18+7h>12+9h

Evgen [1.6K]

Answer:

$h$

Step-by-step explanation:

$-18+7h>12+9h$

Add 18 to both sides:

$-18+7h+18>12+9h+18$

$7h>9h+30$

Subtract 9h from both sides:

$7h>9h+30$

$-2h>30$

Multiply both sides by -1 and flip the symbol:

$\left(-2h\right)\left(-1\right)$

$2h$

Divide both sides by 2:

$\frac{2h}{2}$

$h$

4 0

3 years ago

An expression is shown below: 2x3y + 18xy − 10x2y − 90y Part A: Rewrite the expression by factoring out the greatest common fact

SCORPION-xisa [38]

Answer:

Part A : 2y( x³ + 9x - 5x² - 45 ), Part B : 2y( x - 5 )( x² + 9 )

Step-by-step explanation:

Part A : Let's break every term down here to their " prime factors ", and see what is common among them,

2x³y + 18xy − 10x²y − 90y -

2x³y = 2 $*$ x³ $*$ y,

18xy = 2 $*$ 3 $*$ 3 $*$ x $*$ y,

− 10x²y = 2 $*$ - 5 $*$ x² $*$ y, - so as you can see for this example I purposely broke down - 10 into 2 and - 5. I could have placed the negative on the 2, but as that value was must likely common among all the terms, I decided to place it on the 5. The same goes for " − 90y. " I placed the negative there on the 5 once more.

− 90y = 2 $*$ - 5 $*$ 3 $*$ 3 $*$ y

The terms common among each term are 2 and y. Therefore, the GCF ( greatest common factor ) is 2x. Let's now factor the expression using this value.

2y( x³ + 9x - 5x² - 45 )

Part B : Let's simply factor this entire expression. Of course starting with the " factored " expression : 2y( x³ + 9x - 5x² - 45 ),

$2y\left(x^3+9x-5x^2-45\right)$ - Factor out " $(x^3+9x-5x^2-45\right))$ " by grouping,

$\left(x^3-5x^2\right)+\left(9x-45\right)$ - Factor 9 from 9x - 45 and x² from x³ - 5x²,

$9\left(x-5\right)+x^2\left(x-5\right)$ - Factor out common term x - 5,

$\left(x-5\right)\left(x^2+9\right)$ - And our solution is thus 2y( x - 5 )( x² + 9 )

3 0

3 years ago