A pizza has a radius of 7 inches. If it is cut into 6 equal slices, what is the area of each slice?

Answer:

PT = 12 units

Step-by-step explanation:

Given that,

PT=3x+3 and TQ=6x-6

T is the midpoint of PQ.

If T is mindpoint of PQ, it means,

PT = TQ

Substitute all the values,

3x+3 = 6x-6

Taking like terms together,

3x-6x = -6-3

-3x = -9

x = 3

So,

PT = 3x+3

= 3(3) + 3

= 9+3

= 12

So, the value of PT is equal to 12 units.

Answer:

B). F(1, 12) = 16.00

Step-by-step explanation:

'ANOVA' is a measure employed for 'analysis of a variance' in a given set of data of treatments or populations. While t-test helps in comparing their means.

As per the question, the F-ratio using ANOVA would be 'F(1, 12) = 16.00.' In order to calculate the variances, the distinction among the samples. The б^2 denotes the difference of representative means which is augmented by n(in case of samples being same). So, the ratio of F(1, 12) would be б^2 i.e. 4^2 = 16 since the sample sizes are distinct. Thus, option B is the correct answer.

Answer:

[tex]H_0[/tex] : [tex]\mu \leq 445.99[/tex]

[tex]H_a[/tex] : [tex]\mu > 445.99[/tex]

Step-by-step explanation:

It is given the average cost of the flight nationwide is $ 445.99

I wanted to [tex]\text{perform the hypothesis test}[/tex] to determine that the true average is greater than $ 445.99

Let the hypothesis that the true average is actually greater than $445.99

Therefore,

the [tex]\text{null hypothesis}[/tex] for the test is :

[tex]H_0[/tex] : [tex]\mu \leq 445.99[/tex]

And the alternate hypothesis is :

[tex]H_a[/tex] : [tex]\mu > 445.99[/tex]

Answer:

The area of a given rectangle is 216 square inches.

Given that, the perimeter of the rectangle is 84 inches.

We need to find the area of a rectangle.

The perimeter of a rectangle is the total distance of its outer boundary. It is twice the sum of its length and width and it is calculated with the help of the formula: Perimeter = 2(length + width).

Let the width of a rectangle be x.

Given, that the length of a rectangle is six times its width. So, length=6x.

Now, 84=2(6x+x)

⇒14x=84

⇒x=6 inches

Then, length=6x=36 inches.

Area of a rectangle= Length×width=36×6=216 square inches

Therefore, the area of a given rectangle is 216 square inches.

To learn more about the area of a rectangle visit:

https://brainly.com/question/20693059.

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Answer:

AnD = {8,10}

Step-by-step explanation:

A = {2, 4, 6, 8 ,10 ...}

B = {1, 3, 5, 7 ,9 ...}

C = {,2 ,3 ,4 ,5 ...}

D = { 8, 9 ,10 ,11 ...}

AnD = {8, 10}

Answer:

A. 15.5 yards

Step-by-step explanation:

3.1 ×5=15.5

Answer

Two fractions are equivalent fractions when they represent the same part of a whole. Since equivalent fractions do not always have the same numerator and denominator, one way to determine if two fractions are equivalent is to find a common denominator and rewrite each fraction with that denominator.

Answer:

a and c

Step-by-step explanation:

Answer:

its c

Step-by-step explanation:

i got it right

Answer:

B

Step-by-step explanation:

To find the area of a parallelogram you do A=(b)(h) so 20x8=160. It's 160ft^2 because area is measured in square units.

9514 1404 393

Answer:

  B.  16:49

Step-by-step explanation:

The area ratio is the square of the edge length ratio:

  area ratio = (4:7)² = 4²:7² = 16:49

_____

It might help you to recall that area is the product of two linear dimensions if each is multiplied by 4/7, the resulting product will be multiplied by (4/7)².

  A = LW

  A' = (4/7L)(4/7W) = (4/7)²(LW) = (16/49)·A

Answer:

5.291 * 10^4

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Answer:

2

Step-by-step explanation:

Using the slope concept, it is found that the distances from the shore at each moment are given by:

a) 2664 feet.

b) 976 feet.

The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.

Item a:

The vertical distance is of 280 feet, with an angle of 6º. The distance from the shore is the horizontal distance of x. Hence:

[tex]\tan{6^\circ} = \frac{280}{x}[/tex]

[tex]x = \frac{280}{\tan{6^\circ}}[/tex]

x = 2664.

Item b:

The vertical distance is of 280 feet, with an angle of 16º. The distance from the shore is the horizontal distance of x. Hence:

[tex]\tan{16^\circ} = \frac{280}{x}[/tex]

[tex]x = \frac{280}{\tan{16^\circ}}[/tex]

x = 976.

More can be learned about the slope concept at https://brainly.com/question/18090623

Answer:

55

Step-by-step explanation:

The answer is 55 as distance is a scalar quantity that means quantities that depend on magnitude and not on direction. Therefore we cannot write - 55 as answer.

Answer:

18

Step-by-step explanation:

Find the diagram attached

From the diagram

PR + RQ = PQ

PR + RQ = 38

PR = 38 - RQ

using similar triangle;

KQ/RQ = KP/PR

45/RQ = 50/38-RQ

Cross multiply

50RQ = 45(38-RQ)

50RQ = 1710 - 45RQ

50RQ + 45RQ = 1710

95RQ = 1710

RQ = 1710/95

RQ = 18

Hence the length of RQ is 18

The amount of money the store makes selling ice by the same ratio will be $340.

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

As per the given,

The store sells 800 bags of ice, making $3,400.

Ratio = 3400/800

With the same ratio,

The store sells x amount of bags of ice,

x/80 = 3400/800

x = $340

Hence "The store will make $340 from selling ice using the same ratio".

For more information about ratios and proportions,

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Answer:

[tex]65.4[/tex]

Step-by-step explanation:

In any right triangle, the cosine of an angle is equal to its adjacent side divided by the hypotenuse, or longest side, of the triangle.

Therefore, we have:

[tex]\cos 61^{\circ}=\frac{y}{135},\\t=135\cos 61^{\circ}=65.4492987333\approx \boxed{65.4}[/tex]

Answer:

a^2+b^2=c^2

6^2+6^2=72

square root of 72

=8.49(3sf)

c^2-b^2=a^2

=3

x=3

answer : 3

step by step:

this may seem hard but it is easy.

the first thing to do is to look at the bottom of the shape it shows a right triangle that is missing the hypotenuse lets see how to solve for that:

name the hypotenuse  x

then write the equation

x^2= 6^2 + 6^2

x^2= 72

take both the square root of them

x = 8.5

next part is the rectangle and we see that it has been split into 2 right triangles which are the same but the cool part is that if we solve for one of the triangles we solve for the other we are going to do the same steps again notice now we are solving for the right angle that's not labeled if we solve that then that means we solve for the other triangle that is labelled x

first off we know that the hypotenuse is 9 and one angle is 8.5 so here is the equation:

x^2 = 9^2 - 8.5^2

x^2 = 8.75

take square root of both

x = 3

Answer:

The function is defined for all real numbers.

which can be denoted as >> R

Answer:

i dont know

Step-by-step explanation:

You can check your answers with math-way if you want I haven't done this in a while but I'm sure I've answered questions involving slope many times, you can take a look at them.

Remember that y2 - y1 / x2 - x1 = m

m= slope

Answer:

its a geometric progression. r=1/5 or 0.2

Answer:

155 degree

Step-by-step explanation:

x + 25 = 180 degree (sum of adjacent angles of a parallelogram are equal)

x = 180 - 25

x = 155 degree