What is the length of a leg of a right triangle if the hypotenuse is 9 inches and the other leg is 8 inches.

Answer:

(7x + 14)° = 84°

(15x - 4)° = 146°

Step-by-step explanation:

62° + (7x + 14)° = (15x - 4)°

62° +7x + 14 = 15x - 4

15x - 7x = 62 + 14 + 4

8x = 80

x = 10

Therefore, exterior angle (15x - 4)° = 146°

                interior angle (7x + 14)° = 84°

Answer:

The circumfrence is 75.36

Step-by-step explanation:

I hope this helps

Answer:

Step-by-step explanation:

take 45 degree as reference angle

using sin rule

sin 45 =opposite /hypotenuse

1/[tex]\sqrt{2}[/tex]=24/k(do cross multiplication)

24[tex]\sqrt{2}[/tex]=k

Answer:

Probability [chosen code starts with M and ends with E] = 0.05

Step-by-step explanation:

Given:

Total alphabet = A, F, E, R, and M

Creating name without repeat

Find:

Probability [chosen code starts with M and ends with E]

Computation:

Probability Name start with M = 1 / 5

Probability Name start with E = 1 / (5-1)

Probability Name start with E = 1 / 4

Probability [chosen code starts with M and ends with E] = Probability Name start with M x Probability Name start with E

Probability [chosen code starts with M and ends with E] = (1/5)(1/4)

Probability [chosen code starts with M and ends with E] = 1 / 20

Probability [chosen code starts with M and ends with E] = 0.05

Answer:

20 is the answer :))))

20

Can you please give attachments? Thank you :)

Answer:

a) 36yards

Step-by-step explanation:

I just took the test

→ √20 + √45

→ 2√5 + 3√5

→ (2 + 3)√5

→ 5√5

Therefore, option A is correct.

Answer:

Its right skewed

Answer:

should be the third (81,90)

Step-by-step explanation:

Answer:

He is 20 at oldest, or [tex]x\leq 20[/tex]

Step-by-step explanation:

The first step in finding a possible age is:

Subtract 10 from 51, and you get 41. Divide by 2, and you get about 20.5.

This means Joe is younger than or 20 years old.

Answer:

4/3π(0.973r³)

Step-by-step explanation:

Volume of a sphere = 4/3πr³

Given the radius of dodge ball rd = r

radius of tennis ball rt = 0.3r

Taking their difference

Volume difference  = 4/3πrd³ - 4/3πrt³

Volume difference  = 4/3π(r)³ - 4/3π(0.3r)³

Volume difference  = 4/3π(r³ - 0.027r³)

Volume difference = 4/3π(0.973r³)

Hence the differmce in volume is  4/3π(0.973r³)

Based on the tree diagram, there are a total of 12 possible dinner combinations for Leila.

Define combinations?

In mathematics, combinations are a way to count the number of ways to choose a subset of items from a larger set, where the order of the chosen items does not matter. The number of combinations is often denoted using the symbol "n choose k", where n is the total number of items and k is the number of items being chosen.

To see why, we can count the number of paths through the tree diagram. Starting at the top, there are 2 choices for the type of dips: Guacamole dip or Cheese dip. For each of these choices, there are 2 choices for the dessert : Burrito and Enchilada. Finally, for each main course, there are 2 choices for the main course: Chicken and Beef.

Multiplying the number of choices at each step, we get:

2 (choices for dips) x 2 (choices for dessert) x 2 (choices for main course) = 8 possible dinner combinations.

Therefore, there are 3 possible dinner combinations for Leila.

To learn more about subset from the given link :

https://brainly.com/question/23454979

#SPJ1

Answer:

The rate of change would be $3.50 per gallon.

Step-by-step explanation:

In the graph depicted in the picture, when the number of gallons increases by 2, the price increases by $7. Since the graph maintains a constant rate of change, that means the rate of change would be [tex]\frac{7}{2}[/tex] or $3.50 per gallon.

Given :

Jack bought 50 lbs of clay for his art projects. He used 13.2 lbs to make a sculpture, and 0.72 lbs for each mug.

To Find :

How many mugs did Jack make if he had 28.88 lbs of clay left over.

Solution :

Clay required to make 1 mug, r = 0.72 lbs.

Amount of clay left after making sculpture is, T = 28.88 lbs.

Now, number of clay mug Jack can make is :

[tex]n = \dfrac{28.88}{0.72}\\\\n= 40.11[/tex]

Since, number of mug cannot be in decimal, so we take the floor value.

Therefore, number of mug that can be prepared is 40 .

Given:

The equation is:

[tex]y=-x+4[/tex]

To find:

The graph of the line that contains ordered pairs that are solutions of the given equation.

Solution:

We need to find the graph of the given equation.

We have,

[tex]y=-x+4[/tex]

At [tex]x=0[/tex], we get

[tex]y=-0+4[/tex]

[tex]y=4[/tex]

So, the x-intercept of the given equation is at point (0,4).

At [tex]y=0[/tex], we get

[tex]0=-x+4[/tex]

[tex]x=4[/tex]

So, the y-intercept of the given equation is at point (4,0).

From the given graphs it is clear that the line in option C has x-intercept at point (0,4) and y-intercept at point (4,0).

Therefore, the correct option is C.

Answer:

C

Step-by-step explanation:

20 ÷ 5 = 4

24 ÷ 6 = 4

28 ÷ 7 = 4

32 ÷ 8 = 4

So the correct answer is C

Answer:

C) this is the false statement

Step-by-step explanation:

data set in list form:

35, 42, 45, 55, 65, 65, 68, 76, 85

Range: 85-35 = 50

Median: 65

Mean: 536/9 = 59.5

Mode:  65

The statement that is not true about this data set is C. The mean is 65 people.

This Stem-and-Leaf Plot shows the number of people who attended a local nine-day carnival.

The data set in list form:

35, 42, 45, 55, 65, 65, 68, 76, 85

Mean is the ratio of sum of the observations to the total number of observations.

Mean: 536/9 = 59.5

Median is such a number for the arranged data set(ascending or descending order) such that to its left and to its right belong same number of observations.

Median: 65

Range = Maximum value of the data set - Minimum value of the dataset

Range: 85-35 = 50

Mode is the number in given data that occurs frequently.

Mode:  65

Learn more about skewed distribution here:

https://brainly.com/question/13111221

#SPJ2

Answer:

1 square and 4 triangles

Step-by-step explanation:

Answer:

The answer is (A) or 1 square and 4 triangles .

Step-by-step explanation:

Looking at a picture of a square pyramid would help to answer this question. (Btw sorry if im late) Stay safe<3 .

Answer:

I think it's 4

Step-by-step explanation:

Three resistors with values of 12 Ω, 24 Ω and 6 Ω are connected in series to one another and a 24 V power supply. Draw the circuit and fill in the data table.

Answer:

Step-by-step explanation:

6 no answer 0,9

7 no answer -3,-10

8 no answer -10,2

9 no answer 2,0

hope this helps u!!

Answer:

86

Step-by-step explanation:

Considering that it is a triangle ABC which means AB = AC + BC AB = 48 + 38 = 86

 I think that's it I hope it will help you

Answer: 12x^6+104x^5-319x^4-2890x^3+4661x^2+14000x-19600 sorry I don't have enough time to explain I got to go hope that helps tell me if I was right or not bye!

Step-by-step explanation:

Answer: Mean

Step-by-step explanation:

Mean is best used when the numbers in the data set are close together and the number of outliers are limited because outliers will either increase or decrease the mean such that it would not be a true representation of the data set.

In cases like the above however where the numbers are generally in the same range, the mean would provide a center measure that is the most representative because it would simply be a simple average of the numbers.

Answer:

C) The fossil is between 10 million and 50 million years old.

Step-by-step explanation:

Since Layer B is located between Layer A and C, option C is the only reasonable answer because Layer A is 50 million years old and Layer C is 10 million years old.