Zach is building a cage for his gerbil. The area of the cage is 42 square inches.



What is the width of the gerbil cage?

The statement made which says the tangent - chord angle is twice the measure of the intercepted arc inside the angle is FALSE.

Therefore, the statement is False because the intercepted arc is twice the measure of the angle formed by the intersection of the chord and the tangent on the circle.

Learn more :https://brainly.com/question/4322607

Answer:

This is False

Step-by-step explanation:

Answer:

The answer is "2793 miles"

Step-by-step explanation:

In this firstly we convert degrees to radians, which can be defined as follows:

[tex]\to \theta =\frac{40^{\circ} \times \pi }{180^{\circ}}[/tex]

       [tex]=\frac{ 2\pi }{9}[/tex]

Now calculating the distance:

[tex]=\frac{2\pi }{9} \times 4000\\\\= \frac{8000 \pi }{9}[/tex]

[tex]=\frac{8000\times 3.14 }{9}\\\\ = \frac{25120}{9}\\\\=2793 \ miles[/tex]

Step-by-step explanation:

[tex]tan = \frac{opposite}{adjacent} [/tex]

tan(tetha) = DC/1 ( here 1 bc as they said, an arc circe w/ radius (OB) 1

Given:

The equation is

[tex]y=x^2+2x+3[/tex]

To find:

The vertex form of the given equation, i.e., [tex]y=x^2+2x+3[/tex].

Solution:

We have,

[tex]y=x^2+2x+3[/tex]

It can be written as

[tex]y=(x^2+2x)+3[/tex]

Add and subtract square of half of coefficient of x, i.e., [tex]\left(\dfrac{2}{2}\right)^2=1[/tex].

[tex]y=(x^2+2x+1)-1+3[/tex]

[tex]y=(x^2+2(x)(1)+1^2)+2[/tex]

[tex]y=(x+1)^2+2[/tex]                   [tex][\because (a+b)^2=a^2+2ab+b^2][/tex]

Therefore, the required form of given function is [tex]y=(x+1)^2+2[/tex].

Answer:

78

Step-by-step explanation:

im not sure but i think is 78

60+18=78

sorry

Here's link to the answer:

tinyurl.com/wpazsebu

Answer:18

Step-by-step explanation:

Given

The school has 200 boys and 300 girls

The ratio of boys and girls is 2:3

If 45 seventh grade students are selected then the ratio of boys and girls remain the same

suppose there are 2x boys and 3x girls, such that ratio is 2:3

[tex]\Rightarrow 2x+3x=45\\\Rightarrow 5x=45\\\Rightarrow x=9[/tex]

No of the boys are [tex]2x=2\times 9=18[/tex]

Answer:

18

Step-by-step explanation:

what the another person said

Answer: First secutitys at my school dont even have nothing but a walkie talkies in there hands but I will say this we have cops walking around inside of our school and there all armed up because obvisouly their cops so i would think not security should not have a fire arm because what happens if a old lady a securrityguard she cant move fast so I think not they would have to deal it with by hand and there walkie talkies.

Step-by-step explanation:

Answer:no because they might be part of a crime and shoot up the school like boom bang bin bot pow and 500 people drop dead like me in the bed room.

Step-by-step explanation:

Answer:

589

Step-by-step explanation:

Answer:

the answer i think is 103 centimeters

Step-by-step explanation:

Answer:

What???

Step-by-step explanation:

Cant see it?????

Answer:

RM10.05 million

Step-by-step explanation:

therefore:

2/9 of 43.2

=9.6m

5/100 of 2.5m

=125,000

5/100 of 6.5m

=325,000

therefore total donations are :

9,600,000+125,000+325,000

=10,050,000

I tried... hope it helps

Essay Definition of Citizenship:

In the literal sense a person who lives in a city is said to be a citizen. But in political science we use this terminal different sense. To find the real meaning of the term we are to go back to ancient Greece. Aristotle, the father of political science, called a person a citizen who would take a direct and active part in the administration of the state.

Since the states in ancient Greece were as small as the cities of Greece it was possible for the residents of the city-state to make law, to adjudicate and even enforce the law. These citizens did not include the slaves, women and manual workers. In such a case the number of the citizens was just half of the entire population. The position was not very different in the medieval Europe. There were serfs in the place of the slaves.

The position is quite different in modern nation-states, where all adult people are citizens who need not take an active part in the administration of the country, because it is not possible for the entire population of a vast country to meet together and make law and interpret it or enforce it.

Answer:

Each sandwich costs 4$.

Step-by-step explanation:

To find the answer we will divide 72$ by 18 and we get 4$.

The number of sandwiches and the total price of sandwiches are directly proportional.

Cost of 18 sandwiches = $72

Cost of 1 sandwich = $72/18

= $4

Hence the cost of 1 sandwich is $4.

Answer:

113.04

π×6^2 is the solution of this

Answer:

area = 113.1 m²

Step-by-step explanation:

area = PiR²

area = (Pi)(6²) = 113.1 m²

Answer:

m<B: 36

Step-by-step explanation:

x + 2x + 6x + 18 = 180

9x + 18 = 180

9x = 162

x = 18

m<B:

2x

2(18)

36

Answer:

m<B=36°

Step-by-step explanation:

The sum of angles in a triangle add up to 180°.

That means the sum of m<A+m<B+m<C=180°

We're given that:

m<A=x°

m<B=(2x)°

m<C=(6x+18)°

we can substitute those values as m<A, m<B, and m<C

x+2x+6x+18=180

combine like terms

9x+18=180

subtract 18 from both sides

9x=162

divide by 9

x=18°

we found the value of x, but we're not done yet

The question asks to find m<B, which is 2x°

in that case, we can substitute our known value to find the measure of <B

m<B=2x°

m<B=2(18)°

m<B=36°

Answer:

A= 615.44

Step-by-step explanation:

A=πr²

A=π14²

A=196(3.14)

A= 615.44

Answer:

ans 7

Step-by-step explanation:

given

10_i=3

10_i_3=0

7=i

i=7

Answer:

[tex] - x + 3 = {x}^{2} + 1[/tex]

[tex] {x}^{2} + x = 2[/tex]

Answer:

Step-by-step explanation:

1st y=-x+3

Let's solve for x.

y=−x+3

Step 1: Flip the equation.

−x+3=y

Step 2: Add -3 to both sides.

−x+3+−3=y+−3

−x=y−3

Step 3: Divide both sides by -1.

−x/−1= y−3/−1

Answer:

x=−y+3

2nd queastion: y=x^2+1

In the image

Hope this helps :)

PLS BRAINLIEST

Answer:

First rememeber that if we have a function like:

g(x) = x^n

then:

dg(x)/dx = g'(x) = n*x^(n - 1)

And also if we have:

g(x) = f(x) + h(x)

then:

dg(x)/dx = g'(x) = f'(x) + h'(x)

1) We have the function f(x) = (x + 1)^2

We can rewrite this as:

f(x) = x^2 + 2*x + 1

Using both things written above, we know that:

f'(x) = 2*x + 1*2 = 2*x + 2

And we want to find f'(-2), so we only need to evaluate the above function in x = -2, this is:

f'(-2) = 2*-2 + 2 = -4 + 2 = -2

f'(-2) = -2

b) I suppose that this refers to the inverse function of f(x)

An inverse function is such that:

g( f(x)) = x

f( g(x)) = x

For f(x) = (x + 1)^2

The inverse will be something that first cancels that square, and then subtracts 1.

Then:

g(x) = √x - 1

if we evaluate this in f(x) we get:

g( f(x)) = √(f(x)) - 1 = √(x + 1)^2 - 1 = (x + 1) - 1 = x

Then the inverse function of f(x) is:

g(x) = √x - 1

This can also be written as:

g(x) = x^(1/2) - 1

Then the derivative of this will be:

g'(x) = (1/2)*x^(1/2 - 1) = (1/2)*x^(-1/2) = (1/2)*(1/√x)

Answer:

tan ∅ = 15/8

Step-by-step explanation:

tan ∅ = 15/8

[tex](4x^2)+99-4x(16x)\\=4x^2+99-64x^2\\=-60x^2+99[/tex]

Is this what you want???

Answer:

-3x = 7 .  

Step-by-step explanation:

-3x - 6 - 1 =

-3x - 7

Hope that helps!

Answer:

-3x-7

Step-by-step explanation:

Combine like terms

Answer:

C = n + 25

Step-by-step explanation:

The total amount of money is C, so the equation has to equal C. n is the cost per visit and then you add the fixed fee in which I chose 25

Answer:

2.59

Step-by-step explanation:

Divide $54.39 by 21.

Answer:

Step-by-step explanation:

Given that

Find the price per gallon.

21/1 = 54.39/price

price = 54.39/21

price per gallon = $2.59 (two Dollars and fifty nine cents)

____________________

#IndonesianPride - kexcvi

Answer:

7

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Step-by-step explanation:

Simplify the equation to find the value of a.

Subtract 4a from both sides:

[tex] - 3a - 15 = - 3[/tex]

Add 15 to both sides:

[tex] - 3a = 12[/tex]

Divide each side by -3:

[tex]a = - 4[/tex]

Answer:

n = - 6

Step-by-step explanation:

Given

- 6n - 5 = 31 ( add 5 to both sides )

- 6n = 36 ( divide both sides by - 6 )

n = - 6

Answer:

n= -6

Step-by-step explanation:

-6n=31+5

-6n=36

n=36÷-6

n= -6

Answer: The slope of the line is 12 and One point on the line is (4,5)

Step-by-step explanation: Point-slope form is written like this: Given a point (a, b) on a line and m being slope , y-b = m(x-a)