The area of an extra large circular pizza from Gambino's Pizzeria is 484\pi \text{ cm}^2484π cm
2
484, pi, start text, space, c, m, end text, squared.
What is the diameter of an extra large pizza from Gambino's Pizzeria?

Answer:

a. five, twelve, thirteen

Answer:

8 phone calls

Step-by-step explanation:

Eduardo spent 4 minutes on the phone while routing 2 phone calls. In all, how many phone calls does Eduardo have to route to spend a total of 16 minutes on the phone? Solve using unit rates.

From the above question:

4 minutes = 2 phone calls

16 minutes = x

Cross Multiply

4 minutes × x = 16 minutes × 2 phone calls

x = 16 minutes × 2 phone calls/4 minutes

x = 8 phone calls

Therefore,

Eduardo has to route 8 phone calls to spend a total of 16 minutes on the phone

Answer:

89.804

Step-by-step explanation:

Answer:

7x

Step-by-step explanation:

Answer:16

Step-by-step explanation:I am doing the test :D

The surface area of the square pyramid is S = 736 cm²

The total surface area is the summation of the areas of the base and the three other sides. A = B + ( 1/2 ) ( P x h ), where B is the area of the base of the pyramid, P is the perimeter of the base, and h is the slant height of the pyramid

Surface Area of Pyramid = B + ( 1/2 ) ( P x h )

Given data ,

Let the surface area of the pyramid be S

Let the side length of the pyramid be s = 16 cm

So , Area of base B = (side length)² = 16² = 256 cm²

Next, let's find the area of each triangular face. Since the pyramid is a regular square pyramid, all the triangular faces are congruent.

The base is one side of the square base, which has length 16 cm. The height of the triangle is the slant height of the pyramid, which is given as 17 cm.

Using the Pythagorean theorem, we can find the height of the pyramid:

Height of the pyramid h = √(slant height² - ( base/2 )²)²

h = √(17² - 8²)

h = √225

h = 15 cm

Therefore, the area of each triangular face is:

Area of triangular face = (1/2) × base × height

Area of triangular face = (1/2) × 16 × 15

Area of triangular face = 120 cm²

Since there are 4 triangular faces, the total area of the triangular faces is:

Total area of triangular faces = 480 cm²

Finally, we can find the total surface area of the pyramid by adding the area of the base and the area of the triangular faces:

Total surface area = Area of base + Total area of triangular faces

Total surface area = 256 + 480

Total surface area = 736 cm²

Hence , the surface area is 736 cm²

To learn more about surface area of pyramid click :

https://brainly.com/question/15050758

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Answer:

21.07 m²

Step-by-step explanation:

Please find the complete question in the attached image

Area of shaded region = area of rectangle - area of semicircle

Area of semicircle = [tex]\frac{1}{2}[/tex]πr²

π = 3.14

r = radius = 14/2 = 7m

the diameter of the semicircle is 14m , thus the radius would be half of the diameter

(1/2) x 3.14 x 7² = 76.93 m^

Area of a rectangle = length x width

width = radius of semicircle = 7

14 x 7 = 98 m²

Area of shaded region =  98 m² -  76.93 m^ = 21.07 m²

Answer:

0.50

Step-by-step explanation:

The question states at least 2 which means 2 or more.

The only applicable numbers to look at would be 2 and 3.

First of all we find 2 since it's missing.

Now all probability distributions must add up to 1.

As we can see there are 0.20, 0.30 and 0.40 which is equal to 0.90. Therefore 1 - 0.90 = 0.10 which would be 2.

Hence, the peobability that x is at least 2 is 0.10 + 0.40 = 0.50.

Answer:

Mean = (2.2 + 2.4 + 2.5 + 2.5 + 2.6 + 2.7)/6 = 2.48

Standard deviation = √(summation(x - mean)²/n

n = 6

Summation(x - mean)² = (2.2 - 2.48)^2 + (2.4 - 2.48)^2 + (2.5 - 2.48)^2 + (2.5 - 2.48)^2 + (2.6 - 2.48)^2 + (2.7 - 2.48)^2 = 0.1484

Standard deviation = √(0.1484/6

s = 0.16

Standard error = s/√n = 0.16/√6 = 0.065

Part B

Confidence interval is written as sample mean ± margin of error

Margin of error = z × s/√n

Since sample size is small and population standard deviation is unknown, z for 98% confidence level would be the t score from the student t distribution table. Degree of freedom = n - 1 = 6 - 1 = 5

Therefore, z = 3.365

Margin of error = 3.365 × 0.16/√6 = 0.22

Confidence interval is 2.48 ± 0.22

Part C

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

H0: µ = 2.3

For the alternative hypothesis,

H1: µ > 2.3

This is a right tailed test

Since the number of samples is small and no population standard deviation is given, the distribution is a student's t.

Since n = 6

Degrees of freedom, df = n - 1 = 6 - 1 = 5

t = (x - µ)/(s/√n)

Where

x = sample mean = 2.48

µ = population mean = 2.3

s = samples standard deviation = 0.16

t = (2.48 - 2.3)/(0.16/√6) = 2.76

We would determine the p value using the t test calculator. It becomes

p = 0.02

Assuming significance level, alpha = 0.05.

Since alpha, 0.05 > than the p value, 0.02, then we would reject the null hypothesis. Therefore, At a 5% level of significance, the sample data showed significant evidence that the mean absolute refractory period for all mice when subjected to the same treatment increased.

Step-by-step explanation:

Answer:

[tex]x=7,\\m\angle LKN = 84^{\circ}[/tex]

Step-by-step explanation:

1. For KM to be the angle bisector of angle LKN, it must be bisect LKN into two equal angles. Therefore, we have the following equation:

[tex]9x-21=6x,\\-21=-3x,\\x=\boxed{7}[/tex]

2. Substituting [tex]x=7[/tex]:

[tex]\angle LKN=9x-21+6x=9(7)-21+6(7)=63-21+42=\boxed{84^{\circ}}[/tex]

Answer:

-8100

Step-by-step explanation:

(2/5)^-2(-3)^4

Given data

and second term

The first term=  (2/5)^-2  and

Second term=(-3)^4

Simplify the first term

(2/5)^-2= 2^-2/ 5^-2= 1/2^2 * 1/5^2

=1/4/ 1/25

=1/4*25/1

=100

Simplify the second term

=(-3)^4

= -81

Hence, 100*81

=-8100

9514 1404 393

Answer:

  D.  x = 15; y = 5√3

Step-by-step explanation:

You don't need to know any trig to select the correct answer. You only need to know that the lengths of both sides must be less than the length of the hypotenuse. It is also helpful to know that √3 is about 1.732, so 10√3 ≈ 17.32.

Since x < 10√3, only answer choices A and D are viable.

Since y < 10√3, only answer choice D is viable.

_____

If you want to solve this using trig relations, you can recall that the sides of a 30°-60°-90° triangle have the ratios 1 : √3 : 2. This means short side y is half the length of the hypotenuse 10√3, so y = 5√3. It also means longer side x is √3 times y, so is x = (5√3)√3 = 5·3 = 15.

  x = 15; y = 5√3

Answer:

A = 1124 cm²

V = 840 cm³

Step-by-step explanation:

Assuming the prism is a triangular prism,

Applying,

V = 1/2bhL.................. Equation 1

Where V = volume of the prism, L= lenght of the prism, b = base of the triangle, h = height of the triangle

From the question,

Given: L = 28 cm, 12 cm, h = 5 cm

Substitute these values into equation 1

V = (5×12×28)/2

V = 840 cm³

Surface area (A) = bh+(a+b+c)L

A = (5×12)+(13+13+12)28

A = 60+1064

A = 1124 cm²

Answer:

3.14

Step-by-step explanation:

[tex]\pi[/tex] or commonly known as Pi is equal to 3.14 so it will fit in between 3 and 4 but closer to 3.

Answer:

45 rand

Step-by-step explanation:

3 large pizzas is 10 ×3=R30

5 small drinks is 1.50×5=R7.50

tip of R7.50

add all

30+7.50+7.50

=45

Answer:

[tex]\frac{3}{1}[/tex]

Step-by-step explanation:

[tex]\frac{3}{1}[/tex] is equivalent to [tex]\frac{6}{2}[/tex] because 3 x 2 = 1 x 6 = 6. 93 is equivalent to [tex]\frac{6}{2}[/tex] because 9 x 2 = 3 x 6 = 18. 124 is equivalent to [tex]\frac{6}{2}[/tex] because 12 x 2 = 4 x 6 = 24.

Answer:

- Take the length and width, and multiply

Step-by-step explanation:

Answer:

71

Step-by-step explanation:

Recall the trig ratios

Sine = Opposite over Hypotenuse

Cosine = Adjacent over Hypotenuse

Tangent = Opposite over Adjacent

We are given ∠T's  opposite side length and the adjacent side length.

When dealing with opposite and adjacent we use trig ratio Tangent.

( remember tan = opposite over adjacent )

[tex]tan(x)=\frac{52}{18}[/tex]

* multiply each side by the inverse of tan ( [tex]tan^-^1[/tex] )

[tex](tan)^-^1tan(x)=x\\(tan)^-^1*\frac{52}{18} =70.906508\\x = 70.906508[/tex]

* round to the nearest degree *

We get that x = 71

Step-by-step explanation:

secx=1/cosx

=1/(root of 11/6)

=6/root 11

=6root 11/11

Answer:

sec θ = [tex]\frac{6\sqrt{11} }{11}[/tex]

Step-by-step explanation:

Using the identity

sec x = [tex]\frac{1}{cosx}[/tex]

cosθ = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{\sqrt{11} }{6}[/tex] , then

secθ = [tex]\frac{6}{\sqrt{11} }[/tex] × [tex]\frac{\sqrt{11} }{\sqrt{11} }[/tex] = [tex]\frac{6\sqrt{11} }{11}[/tex]

Answer:

Step-by-step explanation:

Jackie   you should know that  the supplemental angles always add to 180°  :)

That's like angles  1 & 2  or   55° & 1  .  both are supplemental and add to 180°

Knowing this should make answering this pretty easy. :)

180 = ∠1 + 55

125 = ∠1

∠3 =∠1

∠2 = 55°

since line g is parallel to f , we know all the angles in the same places of line f are identical... got it?

Answer:

Step-by-step explanation:

slope intercept form

y=mx+c

Answer:

a had 8 b had 10 total=180

Step-by-step explanation:

it's weird.  I never really liked word problems but think through it. if each of them had to be the same amount of points, then what does bothe 10 AND 8 fit into?

80. simple.

so that means there were 8 true false questions in section a and 10 multiple choice in b and there was 160 points total because 80 +80 = 160

answer=1/4

explanation ; 6divided by 3/8=0.25    which is equal to 25/100 or 25 divides 25 once and divides 100  4 times giving 1/4

Answer:

it is the hilighted one the one besides it and below it

Step-by-step explanation:

Answer: The answer to this problem is the second choice “As the x-value increases by 1, the y-value decreases by 1/2, the x-intercept is -2.

Have a nice day!