In a 30°-60°-90° triangle, the length of the hypotenuse is 30. Find the length of the shorter leg.

Answer:

4 to the 5th power (4^5)

Answer:

No, I do not.

She can pack up to 12 bags

Step-by-step explanation:

Given

[tex]Glow\ sticks = 72[/tex]

[tex]Markers = 36[/tex]

[tex]Bubbles = 24[/tex]

Required

Is Tasha correct?

The maximum number of bags she can pack is determined by the greatest common factors (GCF) of the items.

i.e. GCF of 72, 36 and 24.

This is calculated as:

[tex]24 = 2*2*2*3[/tex]

[tex]36 = 2 * 2 *3*3[/tex]

[tex]72 = 2 * 2 * 2 *3*3[/tex]

Multiply all common factors:

[tex]GCF = 2 * 2 * 3[/tex]

[tex]GCF = 12[/tex]

The GCF is 12.

This implies that she can pack up to 12 bags

Answer:

hello! :) have a good day!

1). 24

2). 27

3). 5

PICTURE 1:

The answer is 24: (13 7/10) Rounded To The Nearest Whole Number is: (14)

[tex]13 \frac{7}{10} = 14[/tex]

AND,

(10 1/8) Rounded To The Nearest Whole Number is: (10)

[tex]10 \frac{1}{8} = 10[/tex]

So, 14 + 10 = 24

______________________________________

PICTURE 2:

The answer is 5: (8 1/5) Rounded To The Nearest Whole Number is: (8)

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

AND,

(2 7/8) Rounded To The Nearest Whole Number is: (3)

[tex]2 \frac{7}{8} = 3[/tex]

So, 8 - 3 = 5

______________________________________

PICTURE 3:

The answer is 27: (58 5/12) Rounded To The Nearest Whole Number is: (58)

[tex]58 \frac{5}{12} = 58[/tex]

AND,

(30 5/7) Rounded To The Nearest Whole Number is: (31)

[tex]30 \frac{5}{7} = 31[/tex]

So, 58 - 31 = 27

______________________________________

HERE ARE ALL THE ANSWERS:

PICTURE 1: 24

PICTURE 2: 5

PICTURE 3: 27

HOPE THIS HELPS!! :)

Answer:

x=122

Step-by-step explanation:

Answer:

ANSWER IS D

Step-by-step explanation:

forgive me if is wrong

Answer:

2

Step-by-step explanation:

Answer:

Holy Roman Emperor, was the ruler and head of state of the holy Roman Empire.

Answer:

90000 gallons

Step-by-step explanation:

Given

[tex]Capacity\ at\ 60\% = 540000[/tex]

Required

Determine the full capacity

Let the maximum number of gallons be m.

So, we have:

[tex]60\% * m = 54000[/tex]

Convert % to decimal

[tex]0.60 * m = 54000[/tex]

Divide both sides by 0.60

[tex]m = \frac{54000}{0.60}[/tex]

[tex]m = 90000[/tex]

Hence, the maximum number of gallons it can hold is 90000 gallons

Answer:

Step-by-step explanation: capacity is 60% = 54000

Determine what is missing = 90000

Answer:

10

Step-by-step explanation:

Let XY = a

Since,

XY + YZ = XZ

a + YZ = 24

YZ = 24 - a

By angle bisector property:

[tex]\frac{WX}{WZ} = \frac{XY}{YZ} \\ \\ \frac{15}{21} = \frac{a}{24 - a} \\ \\ \frac{5}{7} = \frac{a}{24 - a} \\ \\ 5(24 - a) = 7a \\ \\ 120 - 5a = 7a \\ \\ 120 = 7a + 5a \\ \\ 120 = 12a \\ \\ a = \frac{120}{12} \\ \\ a = 10 \\ \\ \implies \: XY = 10[/tex]

Answer:

2 cakes

Step-by-step explanation:

You need 2 cakes minimum for 6  people if she wants each person to get 1/5 of a cake.

Answer:

34 times 70

Step-by-step explanation:

Answer:

you just plug in those numbers... 7-4+6 = 9

Answer:

this is an example

Step-by-step explanation:

There are a few different ways to approach this problem, including the following two methods.

1) Find 20% of the original price, then subtract that amount from the original price. 

    To find a percentage of a number, you multiply the number by the percentage.  (You are finding a part of a whole.)

                   20% = 20/100 = 1/5    or   20% = 0.20

    Original Price: $24   Find 20% of $24.                         (Note: "of" is taking part of a whole, so you multiply.)

                    0.20 x 24 = 4.80            This is the mark down, or the amount you subtract from original price.

    Sale Price = Original Price - Mark Down   

                   =   24.00 - 4.80

                   =   19.20

2) If you save 20%, you are still paying 80%. (100-20 = 80) Therefore the sale price is 80% of the original price.

                    80% = 80/100 = 4/5     or    80% = 0.80

     Sale Price = 80% of Original Price

                    = 0.80 x 24

                    = 19.20

Answer:

120mm

Step-by-step explanation:

Thank u....

............

Answer:

Step-by-step explanation:

15x - 20x = -5x

answer is B

Answer:

Its b

Step-by-step explanation:

Answer:B

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

Answer:

Options (A), (C) and (E)

Step-by-step explanation:

System of inequalities has ben given as,

y ≥ 0.75x

y ≤ 2x - 7

By satisfying with the points given in the options,

Option A. (8, 8)

y ≥ 0.75x

8 ≥ 0.75(8)

8 ≥ 6

True

y ≤ 2x - 7

8 ≤ 2(8) - 7

8 ≤ 9

True.

Therefore, (8, 8) is the solution of the given system.

Option (B) (2, 2)

y ≥ 0.75x

2 ≥ 0.75(2)

2 ≥ 1.5

True

y ≤ 2x - 7

2 ≤ 2(2) - 7

2 ≤ -3

False

Therefore, Option B is not the solution.

Option C (9, 7)

y ≥ 0.75x

7 ≥ 0.75(9)

7 ≥ 6.75

True

y ≤ 2(x) - 7

7 ≤ 2(9) - 7

7 ≤ 11

True

Therefore, Option B is the solution of the system of inequalities given.

Option D (4, 6)

y ≥ 0.75x

6 ≥ 0.75(4)

6 ≥ 3

True

y ≤ 2x - 7

6 ≤ 2(4) - 7

6 ≤ 1

False

Therefore, Option (D) is not the solution.

Option E (10, 9)

y ≥ 0.75x

9 ≥ 0.75(10)

9 ≥ 7.5

True.

y ≤ 2x - 7

9 ≤ 2(10) - 7

9 ≤ 13

True

Therefore, Option E is the solution of the given system of inequalities.

Options (A), (C) and (E) are the correct options.

Answer:

∅ = 90 - 48 = 42°

Step-by-step explanation:

Answer:

equalities

Please put the Brainlest

Answer:

Sum = 900 degrees.

Step-by-step explanation:

Sum = (n-2)180

=(7-2)180

=(5)180

=900

Answer:

900 degrees

Step-by-step explanation:

The formula for calculating the sum of the interior angles of a regular polygon is : ( n - 2) × 180°. when n is number of sides.

Sum of angles = ( n-2) × 180

Sum of angles = (7-2) × 180

Sum of angles = 5 × 180

Sum of angles = 900 degrees

9514 1404 393

Answer:

  C  21

Step-by-step explanation:

You can approach this any of several ways. The following conditions must be true:

  adjacent angles total 180°

  opposite angles are congruent

Using the latter relation on the upper right and lower left angles, we have ...

  4x -1 = 3x +20

  x = 21 . . . . . . . . . . add 1-3x to both sides

Answer:

The cost per pound of the ham is $5.89.

Step-by-step explanation:

Given that a 4kg ham cost $13/kg, in order to find the cost per pound the following calculation has to be made:

1 kg = 2.20462 pounds

2.20462 = 13

1 = X

((1 x 13) / 2.20462) = X

13 / 2.20462 = X

5.89 = X

Therefore, the cost per pound of the ham is $5.89.

Answer:

Step-by-step explanation:

I will assume that the scale factor is 2.5

A'(-5,2.5)   True

AB || A'B'   True

?? What does ABAB" mean?

A'B' is an enlargement of AB   True

Answer:

a)   10(5g + 2r)   weight loss over time

b)   20/12 = 1.66667 = 50 / 1.67 = 29.999 gm = 5(6g -1/50)  or  5(5 + g) = 30g

c) 30g = 12 days = 3/5   therefore 5/5 -3/5 = 2/5  = 2/5 x 50 (g) = 20g in 8 days lost

8/20 = 0.4  loss each day 50g - 0.8g = 20-2 = 18 days.

Step-by-step explanation:

Answer:

Each friend will get 5/8 (excluding Rita)

Each person will get 15/28 (including Rita)

Step-by-step explanation:

You must simply divide 3 3/4 ÷ 6 (excluding Rita)

You must simply divide 3 3/4 ÷ 7 (including Rita)