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2 years ago

The area of the sector formed by the 110 degree central angle is 40 units squared what is the radius

1 answer:

7 0

We know that
area of the circle=pi*r²

if 360° (full circle) has an area of-------------> pi*r²
110°------------------------------> 40 units²
pi*r²=40*360/110--------> pi*r²=130.91------> r²=130.91/pi-----> r²=41.69
r=6.46 units

the answer is
the radius is 6.46 units

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(D) f(x+1)=2f(x)

Step-by-step explanation:

The sequence is:

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A student sets up two reactions. Reaction 1 uses 0.180 mol/L of reactant, and Reaction 2 uses 0.510 mol/L of reactant. How many

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Given the data from the question, reaction 2 is 2.83 times faster compared to reaction 1

<h3>Data obtained from the question</h3>

Molarity of reaction 1 (R₁) = 0.180 mol/L
Molarity of reaction 2 (R₂) = 0.510 mol/L
Comparison =?

<h3>How to determine the comparison of reaction 2 to reaction 1</h3>

We can determine how many times faster is reaction 2 to reaction by doing the following:

R₂ / R₁ = 0.510 / 0.180

R₂ / R₁ = 2.83

Cross multiply

R₂ = 2.83 × R₁

From the above illustration, we can see that reaction 2 is 2.83 times faster than reaction 1

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1 year ago

Cloud nine is having a sale on all shirts and pants in the store.Olivia purchased 8 shirts 4 pairs of pants for $176.Raheem purc

mihalych1998 [28]

Question is Incomplete; Complete question is given below;

Cloud Nine is having a sale on all shirts and pants in the store. Olivia purchased 8 shirts and 4 pairs of pants for $176. Raheem purchased 3 shirts and 4 pairs of pants for $116. Let x represent the price of a shirt and y represent the price of a pair of pants. Write a system of equations, and use the elimination method to find a reasonable price for a pair of pants.

Answer:

The system of equations are $\left \{ {{8x+4y=176} \atop {3x+4y=116}} \right.$

The reasonable price for pair of pants is $20.

Step-by-step explanation:

Let the price of shirt be 'x'.

Let price of pair of pants be 'y'.

Given:

Olivia purchased 8 shirts 4 pairs of pants for $176

So we can say that;

8 multiplied by the price of shirt plus 4 multiplied by the price of pair of pants is equal to 176.

framing in equation form we get;

$8x+4y=176 \ \ \ \ equation \ 1$

Also Given:

Raheem purchased 3 shirts and 4 pairs of pants for 116.

So we can say that;

3 multiplied by the price of shirt plus 4 multiplied by the price of pair of pants is equal to 116.

framing in equation form we get;

$3x+4y=116 \ \ \ \ equation \ 2$

Hence the system of equation are $\left \{ {{8x+4y=176} \atop {3x+4y=116}} \right.$

Now by using elimination method we will subtract equation 2 from equation 1 we get;

$(8x+4y)-(3x+4y)=176-116\\\\8x+4y-3x-4y = 60\\\\5x =60\\\\x=\frac{60}{5}=\$12$

Now Substituting the value of x in equation 1 we get;

$8x+4y=176\\\\8\times 12+4y =176\\\\96+4y=176\\\\4y =176-96\\\\4y = 80\\\\y= \frac{80}{4} =\$ 20$

Hence The reasonable price for pair of pants is $20.

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2 years ago