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2 years ago

Henry constructed circle A with a radius of 6 units. He then created a sector

Mathematics

1 answer:

Anni [7]2 years ago

3 0

B. 90/360, because this is 1/4 from circle. It's even shown in the picture.
Example: If you take a protractor at 180°, then if you mirror it, then 360° will comeout, i.e. a circle.

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The cost y (in dollars) to rent a lane at the bowling alley is proportional to the number x of hours that you rent the lane. It

Alika [10]

Answer:

a) y = 9x

b) For every increase of 1 hour the price to rent the lane increases by $9.

c) $27

Step-by-step explanation:

a) Since it costs $18 for 2 hours we can infer that for every 1 hour it costs $9.

So, the equation would look like this:

y = 9x

b) In this context, for every increase of 1 hour the price to rent the lane increases by $9. Like the question gave us, the price for 2 hours cost $18.

c) Plug 3 into the equation:

y = 9(3)

y = 27

Therefore, it costs $27 to rent the lane for 3 hours.

I hope this helps!!

- Kay :)

5 0

2 years ago

Read 2 more answers

Erik and Caleb were trying to solve the equation: 0=(3x+2)(x-4) Erik said, "The right-hand side is factored, so I'll use the zer

Mumz [18]

Answer:

C) Both

Step-by-step explanation:

The given equation is:

$0=(3x+2)(x-4)$

To solve the given equation, we can use the Zero Product Property according to which if the product A.B = 0, then either A = 0 OR B = 0.

Using this property:

$(3x+2) = 0 \Rightarrow \bold{x = -\frac{2}{3}}\\(x-4) = 0 \Rightarrow \bold{x = 4}$

So, Erik's solution strategy would work.

Now, let us discuss about Caleb's solution strategy:

Multiply $(3x+2)(x-4)$ i.e. $3x^2-12x+2x-8$ = $3x^2-10x-8$

So, the equation becomes:

$0=3x^2-10x-8$

Comparing this equation to standard quadratic equation:

$ax^2+bx+c=0$

a = 3, b = -10, c = -8

So, this can be solved using the quadratic formula.

$x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$

$x=\dfrac{-(-10)\pm\sqrt{(-10)^2-4\times3 \times (-8)}}{2\times 3}\\x=\dfrac{-(-10)\pm\sqrt{196}}{6}\\x=\dfrac{10\pm14}{6} \\\Rightarrow x= 4, -\dfrac{2}{3}$

The answer is same from both the approaches.

So, the correct answer is:

C) Both

3 0

3 years ago

1/3+2/5= what does this equal in a fraction form

SVEN [57.7K]

Answer:

11/15

hope this helps

have a good day :)

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Which situation CANNOT be represented by this equation?

aniked [119]

Answer:

Step-by-step explanation:

8 0

3 years ago

The volume of a sphere is 36 cubic inches. What is the radius of the sphere?

Serjik [45]

Answer:

2.05 inches

Step-by-step explanation:

V = 4/3 x πr³

36=4πr³/3

36x3= 4πr³

108= 4πr³

108/4 = πr³

27= πr^3

27/π =r³

$\sqrt[3]{27 \div \pi}$

r= 2.048in

round off to 2.05in

PROOF

V = 4÷3 x πr³

V= 4/3 x π(2.05)³

V=4/3 x π8.6

V=4×π×8.6/3

V=108/3

V=36in³

Therefore: radius= 2.05 inches

8 0

3 years ago