What is the area of the shaded region

Answer: 25°

Step-by-step explanation:

From the question, Toothy the crocodile wants to eat a delicious chicken and his mouth is open to an angle of 30 degrees but he needs to open his mouth to the angle of 55 degrees for the chicken to fit.

The additional angle that Toothy's mouth needs to be open so he can eat the chicken will be:

= 55° - 30°

= 25°

Answer:

25

Step-by-step explanation:

did it on khan academy

Answer:

a fixed point equidistant from all points on the surface of the sphere

Step-by-step explanation:

I assume you are taking the test, so that's the answer

Answer:

1,253 inches cubed

Step-by-step explanation:

This is easy, just find the separate volumes of both and add.

Figure 1: 7x5x5= 175 inches cubed

Figure 2: 11x14x7= 1,078 inches cubed

Added together: 1,253 inches cubed

Therefore it's C

:))))))

Answer:

The interval with the most amount of dots has the greatest number of boxes.

Step-by-step explanation:

Because each dot represents equal number of box(es), the interval with the most number of dots has the greatest number of boxes.

Answer:

2(4a + 7)

Step-by-step explanation:

2 to the 4 and 7

This would give you 8a + 14 because 2 times 4 is 8,  and 2 times 7 is 14.

Hope this helps.

Answer:

2(4a + 7)

Step-by-step explanation:

Multiply 2x 4 to make 8a. Then multiply 2 x 7 to make 14. 8a + 14.

THANKS FOR THE POINTS BTW

Answer:

87 feet

Step-by-step explanation:

Two of the sides here are unknown. The one on the leftmost side is equal to 9, since on the other side it also has a length of 9 feet. The section on the top right has a length of 30-9-9=12 units. Adding all of these values together now, you get a total perimeter of:

30+9+12+9+9+9+9=87 feet

Hope this helps!

Answer:

The perimeter of this shape is 87 ft.

Step-by-step explanation:

Given that all side lengths are added together in order to find perimeter. So the perimeter is :

[tex]perimeter = 9 + 9 + 9 + 12 + 9 + 30 + 9[/tex]

[tex]perimeter = 45 + 30 + 12[/tex]

[tex]perimeter = 87 \: feet[/tex]

Answer:

x=5

Step-by-step explanation:

2^x=32 , solve for x, so x=5

Answer:

Yes any number can be substituted for h

Step-by-step explanation:

The term 'h' is an independent variable any number can be substituted for h, so long as the number represents the hours worked

So if she walks pets for 8 hours

Her pay is 4*8= $32

Answer:

d. g36

Step-by-step explanation:

The solution is, g^36 power is equivalent to the expression (g-12)-3.

An exponent refers to the number of times a number is multiplied by itself. For example, 2 to the 3rd (written like this: 23) means: 2 x 2 x 2 = 8. 23 is not the same as 2 x 3 = 6. Remember that a number raised to the power of 1 is itself.

here, we have,

given expression is,

g^(-12)(-3)

=g^(12*3)

=g^36

Hence, The solution is, g^36 power is equivalent to the expression (g-12)-3.

To learn more on exponent number click:

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Firstly let's find hypotenuse(let it will be "n" of smaller triangle

Let use Pythagorean theorem

[tex]a^{2} + {b}^{2} = {n}^{2} \\ {20}^{2} + {10}^{2} = {n}^{2} \\ n = \sqrt{500} [/tex]

Now we need to find hypotenuse(x) of bigger triangle

[tex] {c}^{2} + {n}^{2} = {x}^{2} \\ {9}^{2} + { \sqrt{500} }^{2} = {x}^{2} \\ x = \sqrt{581} [/tex]

The value of x must be rounded to 1 DP, so

[tex] \sqrt{581} = 24.1039... \\ \sqrt{581} \simeq \: 24.1[/tex]

Answer: x=24.1

Answer:

1 / (99 - 40x).

Step-by-step explanation:

The whole of g(x) is input to f(x), so:

we replace the x in f(x) by g(x).

f(g(x)) =  1 /  [8(12 - 5x) + 3]

=  1 /( 96 - 40x + 3)

= 1 / (99 - 40x).

i'd say it would be 4 over 1         4/1    so you go up 4 and to the right 1 if they were negative then it would be the oposite way around.

The values for a and b in the given exponential function are a = 4 and b = 1/2

An exponential function is a mathematical function used to calculate the exponential growth or decay of a given set of data.

For example, exponential functions can be used to calculate changes in population, loan interest charges, bacterial growth, radioactive decay or the spread of disease.

Given that,

The exponential function is given as, y = abˣ, we need to find the value of a and b,

When x = 0, ab⁰ = 4

a=4 (since, b⁰ = 1)

When x = 1, ab¹ = 2

4b = 2

b = 1/2

Hence, The values of a and b are a = 4 and b = 1/2

Learn more about exponential function, click;

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Answer:

320 coins I think

Step-by-step explanation:

Answer:

56 pack

Step-by-step explanation:

To find the number of packs of seed needed, we will first find the area of the rectangular backyard. We're given that the length is 32 feet and the width is 21 feet.

We get the following. Area =length × width =×3221 =672 square feet So the area of the backyard is 672 square feet. Each pack of seed covers 12 square feet. So we can find the number of packs of seed needed as follows. =÷6721256 packs Thus, Justin will need 56 packs of seed.

Answer:

The required probability is option [tex]C)\ \dfrac{1}{9}[/tex]

Step-by-step explanation:

There are a total of 9 cards.

Total number of cases = 9

Let A be the event of choosing 1, 2 or 3.

Total number of favorable cases for event A = 3

Let B be the event of choosing 7, 8 or 9.

Total number of favorable cases for event B = 3

Formula for finding probability of an event E is:

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]

Finding P(A), using the formula:

[tex]P(A) = \dfrac{3}{9}\\\Rightarrow \dfrac{1}{3}[/tex]

Now, it is given that the card is replaced, so again total number of cases are 9.

For finding P(B), using the formula:

[tex]P(B) = \dfrac{3}{9}\\\Rightarrow \dfrac{1}{3}[/tex]

To find the probability that events A and B both happen, we can simply multiply P(A) and P(B) because these are independent events.

[tex]\text{Required probability = }P(A) \times P(B)\\\Rightarrow \dfrac{1}{3} \times \dfrac{1}{3} \\\dfrac{1}{9}[/tex]

Answer: .......................

Step-by-step explanation:

Answer:

acute acute obtuse right

Step-by-step explanation:

if it is less than 90° it will be acute. it is exactly 90° it is right. it is more than 90° it is obtuse.

good luck

Answer:

D

Step-by-step explanation:

6 times 3 times 4 plus 3 times 3 times 2

Answer:

D. 90 ft squared

Step-by-step explanation:

A= 2wl + 2lh + 2hw

A = 18 + 36 + 36

=90

Answer:

This is a right triangle

Step-by-step explanation:

We can check if this is a right triangle by using the Pythagorean theorem

a^2 +b^2 = c^2 where a and b are the legs and c is the hypotenuse

3^2+4^2 = 5^2

9+16 = 25

25=25

This is true so it is a right triangle

Answer:

The first step is to expand it to get rid of brackets .

Step-by-step explanation:

The first step, you have to eliminate brackets by expanding :

[tex]2(3k + 1) = 4k + 32[/tex]

[tex]2(3k) + 2(1) = 4k + 32[/tex]

[tex]6k + 2 = 4k + 32[/tex]

Next you have to collect like terms by making the same variable to one side and lastly, solve it :

[tex]6k - 4k = 32 - 2[/tex]

[tex]2k = 30[/tex]

[tex]k = 30 \div 2[/tex]

[tex]k = 15[/tex]

Answer:

Use the distributive Law on the left side of the equation.

Step-by-step explanation:

The first step is to distribute the 2 over the parentheses:

2(3k + 1) = 4k + 32 Distributing:

2*3k + 2*1  = 4k + 3

6k + 2 = 4k + 3

2k = 1

k = 1/2.

Answer:18

Step-by-step explanation:

Answer:

he played around 20 games

Answer:20

Step-by-step explanation:

N\A

Answer:

Line: y = Mx + b, passes (0, 1) => M*0 + b = 1 => b = 1

Line: y = Mx + 1, pass (2, 4) => 2M + 1 = 4 => M =3/2

=> Line: y = (3/2)x + 1

Hope this helps!

:)

Answer:

24 ft^3

Step-by-step explanation:

Cylinder:

Volume = (pi)r^2h

Cone:

Volume = (1/3)(pi)r^2h

When using r and h for both a cylinder and a cone, the only difference is the factor of 1/3 for the volume of the cone.

A cone with the same radius and height as a cylinder has 1/3 the volume of the cylinder.

volume of cylinder = 72 ft^3

volume of cone = (1/3) * 72 ft^3 = 24 ft^3

Answer:

The volume of cone is 24 ft³

Step-by-step explanation:

Given that volume of cylinder = 72 ft³

Volume of cylinder = πr²h

Volume of cone = [tex]\frac{1}{3}[/tex][tex]\pi[/tex]r²h

Volume of cone = volume of cylinder/3

= 72/3

= 24 ft³

Answer:

The value of x is 12

Step-by-step explanation:

4x3=12

7x3=21

Therefore 12/21

To explain further:

If you divide 12 by 3 you get 4

If you divide 21 by 3 you get 7

Therefore resulting to 4/7

(I found out that the number three goes in both numbers to begin with)

Is this clearer?

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Work Shown:

5% = 5/100 = 0.05

5% of 42 = 0.05*42 = 2.10

tax = $2.10

total cost including tax = $42 + $2.10 = $44.10

----------

An alternative is to multiply 42 by 1.05 to get

1.05*42 = 44.10

We get the same answer. The 1.05 refers to 1 + 0.05 where the "1" is 100% and the 0.05 is 5%, so the two combine to 105%, meaning the total cost is 105% of the cost before tax is considered.

Answer:

1.5 hours

Step-by-step explanation:

Divide 514 by 338 to get 1.5207 and round it to 1.5 because we are working with time