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9514 1404 393

Answer:

  10π meters

Step-by-step explanation:

The circumference of the island is given by ...

  C = πd

For the given diameter, the circumference is ...

  C = π(20 m) = 20π m

The penguin swam half that distance, so swam ...

  (1/2)(20π m) = 10π m

The penguin swam 10π meters.

Answer:

25%

Step-by-step explanation:

Since we know that the markdown is $20 by subtracting 80-60 , we find out what percent of 20 is 80. To do that you do 20/80, which is 0.25, or 25 percent.

Answer:

5(3+4) = - 35

Step-by-step explanation:

-5(3 + 4)

-5 × 3 + (-5) × 4

-15 + (- 20)

-15 - 20 = - 35

Thus, The value of the expression

-5(3+4) is - 35

-TheUnknownScientist

Answer:

108

Step-by-step explanation:

50 + 4 = 54

54 x 2 = 108

Answer:

The volume of the polyhedron is 672 cubic inch

Step-by-step explanation:

For a given Cuboid

l = 8 in.

b = 14 in.

h = 6 in.

Now,

Volume of a cuboid

[tex]\large\boxed{\fcolorbox{blue}{yellow}{V = l × b × h}}[/tex]

= 8 × 14 × 6 in.

V = 672 cubic inch

Thus, The volume of the polyhedron is 672 cubic inch

-TheUnknownScientist

Answer:

672 cubic inch

Step-by-step explanation:

hope it's helpful

Answer:

15 - 2x = 3

Step-by-step explanation:

Let x be the amount of days that have passed.

15 - 2x gives the amount at any day number x.

15 - 2x = 3 represents the day when you had 3 bottles left.

Answer:

180°

Step-by-step explanation:

180

The total number of degrees in which has the triangle ABC been rotated counterclockwise about the origin is 180 degrees.

The transformation of a figure around a point, either clockwise or counterclockwise, is called rotation. A figure's coordinate point changes when it rotates.

About the origin, the triangle ABC has been rotated. The new triangle A'B'C' is created as a result. In the graph below,

The vertex B' points have the same but negative coordinates,

The vertex of B of the original figure points on the same line.

The coordinate point of B is (5,8).

The coordinate points of B' is (-8,-5).

The same will goes for the A and C points of the triangle

Thus the change in coordinate point after the rotation is,

coordinates of B = (5,8)

coordinates of B' = (-5, -8)

The same will follow with A and C

This is the rotation rule of 180 degrees counterclockwise.

Therefore, The triangle ABC has been rotated 180 degrees counterclockwise in all with respect to the origin.

Learn more about the rotation of figures here;

brainly.com/question/26249005

#SPJ2

The expression 5²/3 can be written without exponents as the fraction 25/3 or 8.33 approximately to 2 decimal place.

Whole numbers include all natural numbers and 0 and can be expressed as exponents and fractions. Exponent is the method of expressing numbers in terms of powers while fractions a fraction represents a part of a whole or, more.

The expression 5²/3 having an exponent can be rewritten as follows:

5²/3 = (5 × 5)/3

5²/3 = 25/3

Therefore, without using exponents the fraction 25/3 or 8.33 approximately to 2 decimal place is the same as the expression 5²/3.

Learn more about exponents here: https://brainly.com/question/11975096

#SPJ1

Answer:

h = [tex]\frac{1}{5} x-\frac{8}{5}[/tex]

Step-by-step explanation:

x = 5h + 8

5h = x - 8

h = [tex]\frac{1}{5} x-\frac{8}{5}[/tex]

Answer:

20%

Step-by-step explanation:

Total number of children = 20

Number of children who chose oatmeal = 4

Percentage of children who chose oatmeal :- [tex] \frac{Number \: of \: children \: who \: chose \: oatmeal}{Total \: number \: of \: children} \times 100[/tex]

[tex] = > \frac{4}{20} \times 100 [/tex]

[tex] = > 20\%[/tex]

Answer:

A. [tex] \frac{5}{6}\pi x^2 [/tex]

Step-by-step explanation:

Central angle of shaded part

[tex] \theta = 360\degree-60\degree= 300\degree[/tex]

Radius (r) = x unit

Area of the shaded part of [tex] \odot K[/tex]

[tex] = \frac{\theta}{360\degree} \times \pi r^2 [/tex]

[tex] = \frac{300\degree}{360\degree} \times \pi x^2 [/tex]

[tex] = \frac{5}{6}\pi x^2 [/tex]

Answer:

Wins _16____. Losses _12____.

Step-by-step explanation:

Since they played 24 games, the wins and losses must add to 24.

Wins     losses

24           0

23           1

22           2

21            3

20           4

19            5

18           6

17            7

16            8            

15            9

14            10

13            11

12           12

11            13

10           14

9           15

They won 4 more than they lost is 16 W and 12 L.

Answer:

20

Step-by-step explanation:

cause

Answer:

x = 30

Step-by-step explanation:

All triangle angles add up to 180 so:

x + 3x + 2x = 180

6x = 180

x = 30

Answer:

This is your answer ☺️☺️☺️

Answer:

the shape is parallelogram

Answer: 0.1 :D

Step-by-step explanation:

Answer:

100 sq ft

Step-by-step explanation:

triangle has a base of 25 and a height of 8

A = bh/2

A = 8 x 25 / 2

A = 100

Answer:

x = 113

Step-by-step explanation:

Since the shape is a quadrilateral, the angles add up to 360 so:

x + 87 + 113 + 47 = 360

x + 247 = 360

x = 360 - 247

x = 113

Answer:

4+x=10 or 4+6=10

Step-by-step explanation:

This would be the equation. Since its addition, it wouldnt be 10-4=x or 10-4=6.

Answer:

C) If the null hypothesis were true, there is a 2 percent chance of obtaining a chi-square value of at least 7.82.

Step-by-step explanation:

The value of the chi-square test statistic was 7.82 and the p- value is 0.02. This means that if the null hypothesis were true there is a 2 percent chance of obtaining a chi square value of at least 7.82

The p- value is defined as obtaining the test statistic under H0 as extreme as observed.

When the p- value is less than 0.05 in the chi square goodness fit test it means that the null hypothesis is rejected.

There fore option C is the best answer.

A)There is a 2 percent chance that the company's claim is correct.

B) There is a 2 percent chance of obtaining a chi-square value of at least 7.82.

C) If the null hypothesis were true, there is a 2 percent chance of obtaining a chi-square value of at least 7.82.

D) If the null hypothesis were true, there is a 2 percent chance that the company's claim is correct.

E)  If the null hypothesis were true, there is a 2 percent chance of obtaining a chi-square value of 7.82.

The p-value is defined as obtaining the test statistic under H₀ as extreme as observed. Then the correct option is C.

In null hypotheses, there is no relationship between the two phenomenons under the assumption or it is not associated with the group. And in alternative hypotheses, there is a relationship between the two chosen unknowns.

The value of the chi-square test statistic was 7.82 and the p-value is 0.02. This means that if the null hypothesis were true if there is a 2% chance of obtaining a chi-square value of at least 7.82.

The p-value is defined as obtaining the test statistic under H₀ as extreme as observed.

Thus, the correct option is C.

More about the null hypotheses and the alternative hypotheses link is given below.

https://brainly.com/question/9504281

Answer:

$2.10

Step-by-step explanation:

8.40÷4=2.1

Therefore, the price for 1 lb of grapes is $2.10.

Answer:

28/64

Step-by-step explanation:

7/16 = 14/32 = 28/64

Answer:

1/4

Step-by-step explanation:

Answer:

1/4 cup

Step-by-step explanation:

9514 1404 393

Answer:

  90.1 m

Step-by-step explanation:

The length of the shortcut is the hypotenuse of a right triangle with side lengths 30 and 85. That length can be found using the Pythagorean theorem.

  PQ² = 30² +85² = 8125

  PQ = √8125 ≈ 90.1

The length of the shortcut is 90.1 meters.

Answer:

Gym: A=100 P=41

Cafeteria: A=144 P=48

Locker room: A=75 P= 37

Answer:

hi

Step-by-step explanation:

20,20+1,21+2,23+3,26+4,30+5

20,21,23,26,30,35

hope it helps

have a nice day