If a triangle has a height of 12 inches and a base of 5-inches what is its area

Answers

Answer 1
Answer: Area of triangle = 1/2 * base * hight 
 A = 1/2 * 12 * 5 = 30 inch^2 
Answer 2
Answer: A=(1/2)bh
h=12
b=5
A=(1/2)(5)(12)
A=(1/2)(60)
A=30
answe ris 30 in^2

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What number si in the middle of 2.3 and 9.5

Answers

Final answer:

The number in the middle of 2.3 and 9.5 is calculated by finding the average, which is done by adding the two numbers and dividing the sum by 2, resulting in 5.9.

Explanation:

To find the number in the middle of 2.3 and 9.5, we need to calculate the average (or the mean) of the two numbers. This can be done by adding the two numbers together and then dividing by 2.



The calculation steps are as follows:

  1. Add the two numbers: 2.3 + 9.5 = 11.8
  2. Divide the sum by 2 to find the middle number: 11.8 / 2 = 5.9



Therefore, the number in the middle of 2.3 and 9.5 is 5.9.

Learn more about Finding the Middle Number here:

brainly.com/question/17721191

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5.9 I think sorry if I’m wrong

This is a probability question:A committee of six is to review the value of discipline in education. The committee is to be chosen randomly from 3 interest teachers, a student council of 6 students and 5 interested parents. What are the following probabilities?
a)no students are on the committee
b) The committee is made up only of students
c) There will be at least one teacher on the committee.

Answers

Im pretty sure it is b

One number is 5 times another. The sum of their reciprocals is 2/5. Determine the smaller number.

Answers

so x=5y
reciprocal of x=1/x then

sum of reciprocals means 1/x+1/y=2/5
subsitute x=5y for x in 1/x+1/y=2/5 and get
1/5y+1/y=2/5
multiply 1/y by 5/5 to make it 5/5y so you can add since the denomenators (bottom number) are the same

1/5y+5/5y=2/5
6/5y=2/5
multiply both sides by 5y
6=2y
divide both sides by 2
3=y
put this into x=5y so 
x=5(3)
x=15
y=3

A caterer is planning a large dinner party for 385 guests. Each table must seat an equal number of gusts, more than 1 guest and fewer than 20. Determine the number of possible table sizes. If the caterers use 7-person tables, how many tables will they need?-Jarvis

Answers

 Answer: The prime factorization of 1001 is 7*11*13, so with the constraint that the tables seat between 2 and 19 guests, we can use tables that seat either 7, 11, or 13 guests.

For tables that seat 7, the caterer would need 11*13 = 143 tables.

For tables that seat 11, the caterer would need 7*13 = 91 tables.

For tables that seat 13, the caterer would need 7*11 = 77 tables

Step-by-step explanation:

hopefully this is right

DIFFERENTIAL EQUATIONS
Solve the differential equations.
dy = 4 − x
/
dx

Answers

anti derivative of 4 is 4x
anti derivative of -x is -1/2 x^2

so  y = 4x - (1/2)x^2 + C
(can't forget constants when doing anti derivatives xD)

is this what you need?

*edit
Anti-derivative of a Constant [just a number] becomes  (constant)*x
for example  integral of 5 = 5x + C

Then there is a Power Rule for integrals
integral of (x)^n = 1/(n+1) *(x)^(n+1) + C
for example: integral of  x^2 = 1/(2+1) * (x)^(2+1) + C = (1/3)*x^3 + C

We have dy/dx = (4-x) dx which is a first order linear ODE

dy = (4-x) dx. Now integrating both sides we get:

y = 4x - 1/2 x^2 + C

which is the answer. Note we only wrote +c once since we can combine arbitrary constants under addition and subtraction with each other.

Solve the following equations.
1 − log8(x − 3) = log8(2x)

Answers

Answer:

The answer to your question is: 4

Step-by-step explanation:

Data

                                   1 − log₈(x − 3) = log₈(2x)

                                   1 = log₈(x − 3) + log₈(2x)

                                    1 = log₈ 2x(x - 3)

                                    8¹ = 2x(x - 3)

                                    8 = 2x² - 6x

                                    2x² - 6x - 8 = 0

Factorize                      2x² - 8x + 2x - 8 = 0

                                    2x(x - 4) + 2(x - 4) = 0

                                    (x - 4) (2x + 2)

                 x1 = 4                      x2 = -2/2 = -1

                                                     

x2 = -1 is not and answer because there are not negative logs.